time complexity proof of /tmp/tmpvv56wn/Round3.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 149).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 196 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)), 20 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 119 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 38 ms)

        ↳8 WeightedIntTrs

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

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

        ↳13 MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 1 ms)

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 207 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 29 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

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

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

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

        ↳28 WeightedIntTrs

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

        ↳30 WeightedIntTrs

        ↳31 koat Proof (⇔, 2025 ms)

        ↳32 BOUNDS(CONSTANT, 102)

↳33 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)), 13 ms)

↳34 JBCComplexityEdges

    ↳35 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 141 ms)

    ↳36 WeightedIntTrs

    ↳37 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 72 ms)

    ↳38 WeightedIntTrs

    ↳39 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 0 ms)

    ↳40 WeightedIntTrs

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

    ↳42 WeightedIntTrs

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

    ↳44 WeightedIntTrs

(0) Obligation:

Need to prove time_complexity of the following program:

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

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


public class Round3{
  public static void main(String[] args) {
    Random.args = args;
    int x = Random.random();

    while (x % 3 != 0) {
      x++;
    }
  }
}

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

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
Round3.main([Ljava/lang/String;)V: Graph of 108 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)) transformation)

Extracted set of 60 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 60 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 60 jbc graph edges to a weighted ITS with 60 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 60 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_12(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_12(o1, env, static) -{0,0}> langle_clinit_rangle_New_13(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_17(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_23(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_23(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_28(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_30(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_32(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_35(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_62(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i5, env, static) :|: o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_Store_78(o7, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i5, env, static') :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o7, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 <= o7 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && iconst_3 = 3 && iconst_1 = 1 && i10 < iconst_3 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5
main_EQ_131(a6, i13, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 1 <= i5 && 0 <= i13
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) -{1,1}> main_Inc_140(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 0 < i13 && 1 <= i5
main_Inc_140(a6, i8, iconst_1, i5, env, static) -{1,1}> main_JMP_154(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && i8 + 1 = i16 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_JMP_154(a6, i16, iconst_1, i5, env, static) -{1,1}> main_Load_157(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_Load_157(a6, i16, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 0 <= i19 && 1 <= i5 && i19 < iconst_3
main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) -{0,0}> main_EQ_131(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && 1 <= i16 && iconst_1 = 1 && 0 <= i16 && 0 < a6 && 0 <= i19 && 1 <= i5

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_12(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_12(o1, env, static) -{0,0}> langle_clinit_rangle_New_13(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_17(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_23(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_23(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_28(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_30(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_32(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_35(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_62(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i5, env, static) :|: o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_Store_78(o7, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i5, env, static') :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o7, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 <= o7 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10'
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && iconst_3 = 3 && iconst_1 = 1 && i10 < iconst_3 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5

obtained
main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3
by chaining
main_EQ_131(a6, i13, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 1 <= i5 && 0 <= i13
main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) -{1,1}> main_Inc_140(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 0 < i13 && 1 <= i5
main_Inc_140(a6, i8, iconst_1, i5, env, static) -{1,1}> main_JMP_154(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && i8 + 1 = i16 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_JMP_154(a6, i16, iconst_1, i5, env, static) -{1,1}> main_Load_157(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_Load_157(a6, i16, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 0 <= i19 && 1 <= i5 && i19 < iconst_3
main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) -{0,0}> main_EQ_131(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && 1 <= i16 && iconst_1 = 1 && 0 <= i16 && 0 < a6 && 0 <= i19 && 1 <= i5

(8) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10'
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0

main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3
was transformed to
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10'
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10' && x = 1

(10) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10' && x = 1
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1

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

Linearized lhss.

random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(12) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10' && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1

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

Moved arithmethic from constraints to rhss.

main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
was transformed to
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, 0, i8, 1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5

(14) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && i10' < 3 && 0 <= i10' && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, 0, i8, 1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i8 + 1, 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1

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

Simplified expressions.

main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i8 + 1, 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1
was transformed to
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i8 + 1, 1, i5, env, static) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
was transformed to
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

(16) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && i10' < 3 && 0 <= i10' && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, 0, i8, 1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i8 + 1, 1, i5, env, static) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3 && x = 1

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

Transformed 60 jbc graph edges to a weighted ITS with 60 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(18) Obligation:

IntTrs with 60 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_12(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_12(o1, env, static) -{0,0}> langle_clinit_rangle_New_13(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_17(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_23(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_23(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_28(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_30(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_32(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_35(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_62(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i5, env, static) :|: o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_Store_78(o7, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i5, env, static') :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o7, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 <= o7 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && i8 % iconst_3 = i10 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5
main_EQ_131(a6, i13, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 1 <= i5 && 0 <= i13
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) -{1,1}> main_Inc_140(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 0 < i13 && 1 <= i5
main_Inc_140(a6, i8, iconst_1, i5, env, static) -{1,1}> main_JMP_154(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && i8 + 1 = i16 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_JMP_154(a6, i16, iconst_1, i5, env, static) -{1,1}> main_Load_157(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_Load_157(a6, i16, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && i16 % iconst_3 = i19 && 0 < a6 && 0 <= i19 && 1 <= i5
main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) -{0,0}> main_EQ_131(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && 1 <= i16 && iconst_1 = 1 && 0 <= i16 && 0 < a6 && 0 <= i19 && 1 <= i5

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

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10'
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && i8 % iconst_3 = i10 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5

obtained
main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2
by chaining
main_EQ_131(a6, i13, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 1 <= i5 && 0 <= i13
main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) -{1,1}> main_Inc_140(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 0 < i13 && 1 <= i5
main_Inc_140(a6, i8, iconst_1, i5, env, static) -{1,1}> main_JMP_154(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && i8 + 1 = i16 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_JMP_154(a6, i16, iconst_1, i5, env, static) -{1,1}> main_Load_157(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_Load_157(a6, i16, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && i16 % iconst_3 = i19 && 0 < a6 && 0 <= i19 && 1 <= i5
main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) -{0,0}> main_EQ_131(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && 1 <= i16 && iconst_1 = 1 && 0 <= i16 && 0 < a6 && 0 <= i19 && 1 <= i5

(20) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10'
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2

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

Moved arithmethic from lhss to constraints.

main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2
was transformed to
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10'
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10' && x = 1

(22) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10' && x = 1
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1

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

Linearized lhss.

(24) Obligation:

IntTrs with 7 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10' && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1

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

Removed div and mod.

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' % 3 = i10' && x = 1
was transformed to
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, x, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1

main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' % 3 = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
was transformed to
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, x, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

(26) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, x, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, x, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, iconst_0, i8, iconst_1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1

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

Moved arithmethic from constraints to rhss.

main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
was transformed to
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8 + 1 - 3 * div, i8 + 1, 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i10', i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
was transformed to
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8' - 3 * div, i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1

main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, x, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
was transformed to
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, x, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1

(28) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8 + 1 - 3 * div, i8 + 1, 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8' - 3 * div, i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, 0, i8, 1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 < 1 && 0 <= 1

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= i10' && i8' + -3 * div = i10' && x = 1

random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8' - 3 * div, i8', 1, i5, env, static) :|: i8' - 3 * div < 3 && i8' - 3 * div + 3 > 0 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= o12 && 0 <= i10' && i8' - 3 * div = i10' && x = 1
was transformed to
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8' + -3 * div, i8', 1, i5, env, static) :|: i8' + -3 * div < 3 && 0 < i8' + -3 * div + 3 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= i10' && i8' + -3 * div = i10' && x = 1

main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8 + 1 - 3 * div, i8 + 1, 1, i5, env, static) :|: i16' - 3 * div < 3 && i16' - 3 * div + 3 > 0 && 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
was transformed to
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8 + 1 + -3 * div, i8 + 1, 1, i5, env, static) :|: i16' + -3 * div < 3 && 0 < i16' + -3 * div + 3 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' + -3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' - 3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
was transformed to
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, 1, i5, env, static) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' + -3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

(30) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_InvokeMethod_100'(o12, a6, 1, i5, env, static) :|: i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= i10' && i8' + -3 * div = i10' && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o7', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o7' && static'4 <= static + 1 && o7' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_100'(o12, a6, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8' + -3 * div, i8', 1, i5, env, static) :|: i8' + -3 * div < 3 && 0 < i8' + -3 * div + 3 && i8' <= o12 && 1 <= i5 && 0 < o12 && i10' <= 2 && 0 <= i8' && 0 < a6 && 0 <= i10' && i8' + -3 * div = i10' && x = 1
main_EQ_131'(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131(a6, i8 + 1 + -3 * div, i8 + 1, 1, i5, env, static) :|: i16' + -3 * div < 3 && 0 < i16' + -3 * div + 3 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' + -3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1
main_EQ_131(a6, iconst_0, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_134(a6, 0, i8, 1, i5, env, static) :|: 0 <= iconst_0 && iconst_0 <= 2 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && 1 <= i5
main_EQ_131(a6, i13, i8, x, i5, env, static) -{6,6}> main_EQ_131'(a6, i13, i8, 1, i5, env, static) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && i16' + -3 * div = i19' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && x = 1

(31) koat Proof (EQUIVALENT transformation)

YES(?, 102)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4, ar_5, arityPad)) [ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad, arityPad, arityPad)) [ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3, arityPad, arityPad)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: ?, Cost: 6) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4, ar_5, arityPad)) [ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3, static'4, arityPad)) [ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3, ar_4, ar_5)) [ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4, ar_5, ar_6)) [ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: ?, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4, ar_5, ar_6)) [ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4, ar_5, ar_6)) [ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5, ar_6)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Slicing away variables that do not contribute to conditions from problem 1 leaves variables [ar_0, ar_1, ar_2, ar_3, ar_4].
We thus obtain the following problem:
2: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: ?, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: ?, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: ?, Cost: 6) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4)) [ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: ?, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: ?, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 2 produces the following problem:
3: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: ?, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4)) [ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(koat_start) = 1
Pol(main_Load_2) = 1
Pol(main_EQ_131) = 1
Pol(main_EQ_131') = 1
Pol(main_EQ_134) = 0
Pol(random_InvokeMethod_100') = 1
Pol(random_ArrayAccess_70) = 1
Pol(random_InvokeMethod_100) = 1
Pol(random_ArrayAccess_72) = 0
Pol(random_InvokeMethod_103) = 0
orients all transitions weakly and the transition
main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
strictly and produces the following problem:
4: T:
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4)) [ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
start location: koat_start
leaf cost: 0

Applied AI with 'oct' on problem 4 to obtain the following invariants:
For symbol main_EQ_131: X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_4 + 1 >= 0 /\ X_3 - X_4 + 1 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_3 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_1 - 2 >= 0
For symbol main_EQ_131': X_1 - X_5 - 1 >= 0 /\ X_5 - 1 >= 0 /\ X_4 + X_5 - 2 >= 0 /\ -X_4 + X_5 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 2 >= 0 /\ -X_2 + X_5 + 1 >= 0 /\ X_1 + X_5 - 3 >= 0 /\ -X_4 + 1 >= 0 /\ X_3 - X_4 + 1 >= 0 /\ X_2 - X_4 >= 0 /\ -X_2 - X_4 + 3 >= 0 /\ X_1 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 1 >= 0 /\ X_2 + X_4 - 2 >= 0 /\ -X_2 + X_4 + 1 >= 0 /\ X_1 + X_4 - 3 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 - 1 >= 0 /\ -X_2 + X_3 + 2 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ -X_2 + 2 >= 0 /\ X_1 - X_2 >= 0 /\ X_2 - 1 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ X_1 - 2 >= 0
For symbol random_ArrayAccess_70: X_5 - 1 >= 0 /\ X_3 + X_5 - 1 >= 0 /\ -X_3 + X_5 - 1 >= 0 /\ X_2 + X_5 - 1 >= 0 /\ -X_2 + X_5 - 1 >= 0 /\ X_1 + X_5 - 2 >= 0 /\ -X_1 + X_5 >= 0 /\ X_1 - X_3 - 1 >= 0 /\ X_3 >= 0 /\ X_2 + X_3 >= 0 /\ -X_2 + X_3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ -X_2 >= 0 /\ X_1 - X_2 - 1 >= 0 /\ X_2 >= 0 /\ X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0
For symbol random_InvokeMethod_100: X_2 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ X_1 + X_4 - 1 >= 0 /\ -X_3 + 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 + 1 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 1 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 2 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 >= 0
For symbol random_InvokeMethod_100': X_2 - X_4 - 1 >= 0 /\ X_4 - 1 >= 0 /\ X_3 + X_4 - 2 >= 0 /\ -X_3 + X_4 >= 0 /\ X_2 + X_4 - 3 >= 0 /\ X_1 + X_4 - 2 >= 0 /\ -X_3 + 1 >= 0 /\ X_2 - X_3 - 1 >= 0 /\ X_1 - X_3 >= 0 /\ X_3 - 1 >= 0 /\ X_2 + X_3 - 3 >= 0 /\ X_1 + X_3 - 2 >= 0 /\ X_2 - 2 >= 0 /\ X_1 + X_2 - 3 >= 0 /\ -X_1 + X_2 - 1 >= 0 /\ X_1 - 1 >= 0

This yielded the following problem:
5: T:
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 - ar_3 + 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 + 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

By chaining the transition random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100'(ar_0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ] with all transitions in problem 5, the following new transition is obtained:
random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
We thus obtain the following problem:
6: T:
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 6) random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 - ar_3 + 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 + 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 6:
random_InvokeMethod_100'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8' - 3*div, i8', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 2 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ i8' - 3*div < 3 /\ 0 < i8' - 3*div + 3 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 ]
We thus obtain the following problem:
7: T:
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 - ar_3 + 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 + 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: ?, Cost: 6) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

By chaining the transition main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131'(ar_0, ar_1, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ] with all transitions in problem 7, the following new transition is obtained:
main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
We thus obtain the following problem:
8: T:
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: ?, Cost: 6) main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 - ar_3 + 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 + 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 8:
main_EQ_131'(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_1 - ar_3 >= 0 /\ -ar_1 - ar_3 + 3 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_1 + ar_3 - 2 >= 0 /\ -ar_1 + ar_3 + 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_1 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ ar_0 - 2 >= 0 /\ i16' - 3*div < 3 /\ 0 < i16' - 3*div + 3 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 ]
We thus obtain the following problem:
9: T:
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

By chaining the transition koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ] with all transitions in problem 9, the following new transition is obtained:
koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
We thus obtain the following problem:
10: T:
(Comp: 1, Cost: 23) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 10:
main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
We thus obtain the following problem:
11: T:
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
start location: koat_start
leaf cost: 0

By chaining the transition random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div', i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 ] with all transitions in problem 11, the following new transitions are obtained:
random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'' + 1, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' ]
random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ 0 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' = 0 ]
We thus obtain the following problem:
12: T:
(Comp: 1, Cost: 24) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'' + 1, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ 0 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' = 0 ]
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
start location: koat_start
leaf cost: 0

By chaining the transition random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'' + 1, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' ] with all transitions in problem 12, the following new transitions are obtained:
random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'''' + 2, i8'' + 2, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ i19'''' <= 2 /\ 0 <= i19'''' /\ i8'' + 2 = i16'''' /\ 0 < i8'' - 3*div'' + 1 /\ 0 <= i16'''' /\ i16'''' - 3*div''''' = i19'''' /\ 1 <= i16'''' /\ 1 <= i8'' - 3*div'' + 1 /\ 0 <= i8'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + ar_3 - 1 >= 0 /\ -i8'' + 3*div'' + ar_3 >= 0 /\ i8'' - 3*div'' >= 0 /\ -i8'' + 3*div'' + 1 >= 0 /\ 2*i8'' - 3*div'' + 1 >= 0 /\ 3*div'' + 2 >= 0 /\ ar_1 - i8'' + 3*div'' - 1 >= 0 /\ ar_1 + i8'' - 3*div'' - 2 >= 0 /\ i16''' - 3*div'''' < 3 /\ 0 < i16''' - 3*div'''' + 3 /\ i19''' <= 2 /\ 0 <= i19''' /\ i8'' + 2 = i16''' /\ 0 <= i16''' /\ i16''' - 3*div'''' = i19''' /\ 1 <= i16''' ]
random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ 0 <= i8'' - 3*div'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + 1 = 0 /\ 0 <= i8'' + 1 ]
We thus obtain the following problem:
13: T:
(Comp: 1, Cost: 36) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'''' + 2, i8'' + 2, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ i19'''' <= 2 /\ 0 <= i19'''' /\ i8'' + 2 = i16'''' /\ 0 < i8'' - 3*div'' + 1 /\ 0 <= i16'''' /\ i16'''' - 3*div''''' = i19'''' /\ 1 <= i16'''' /\ 1 <= i8'' - 3*div'' + 1 /\ 0 <= i8'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + ar_3 - 1 >= 0 /\ -i8'' + 3*div'' + ar_3 >= 0 /\ i8'' - 3*div'' >= 0 /\ -i8'' + 3*div'' + 1 >= 0 /\ 2*i8'' - 3*div'' + 1 >= 0 /\ 3*div'' + 2 >= 0 /\ ar_1 - i8'' + 3*div'' - 1 >= 0 /\ ar_1 + i8'' - 3*div'' - 2 >= 0 /\ i16''' - 3*div'''' < 3 /\ 0 < i16''' - 3*div'''' + 3 /\ i19''' <= 2 /\ 0 <= i19''' /\ i8'' + 2 = i16''' /\ 0 <= i16''' /\ i16''' - 3*div'''' = i19''' /\ 1 <= i16''' ]
(Comp: 1, Cost: 24) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ 0 <= i8'' - 3*div'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + 1 = 0 /\ 0 <= i8'' + 1 ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ 0 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' = 0 ]
(Comp: ?, Cost: 12) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
start location: koat_start
leaf cost: 0

Testing for reachability in the complexity graph removes the following transition from problem 13:
main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_0, ar_2 - 3*div' + 1, ar_2 + 1, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 1 <= ar_4 /\ i19' <= 2 /\ 0 <= i19' /\ ar_2 + 1 = i16' /\ 0 < ar_0 /\ 0 < ar_1 /\ 0 <= i16' /\ i16' - 3*div = i19' /\ 1 <= i16' /\ 1 <= ar_1 /\ 0 <= ar_2 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 + ar_4 - 2 >= 0 /\ -ar_1 + ar_4 + 1 >= 0 /\ 0 >= 0 /\ ar_1 - 1 >= 0 /\ -ar_1 + 2 >= 0 /\ ar_1 + ar_2 - 1 >= 0 /\ -ar_1 + ar_2 + 2 >= 0 /\ ar_0 - ar_1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i16'' - 3*div' < 3 /\ 0 < i16'' - 3*div' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ ar_2 + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div' = i19'' /\ 1 <= i16'' /\ 1 = 1 ]
We thus obtain the following problem:
14: T:
(Comp: 1, Cost: 0) main_EQ_131(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_0, 0, ar_2, 1, ar_4)) [ ar_0 - ar_4 - 1 >= 0 /\ ar_4 - 1 >= 0 /\ ar_3 + ar_4 - 2 >= 0 /\ -ar_3 + ar_4 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 3 >= 0 /\ -ar_3 + 1 >= 0 /\ ar_2 - ar_3 + 1 >= 0 /\ ar_0 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 1 >= 0 /\ ar_0 + ar_3 - 3 >= 0 /\ ar_2 >= 0 /\ ar_0 + ar_2 - 2 >= 0 /\ ar_0 - 2 >= 0 /\ 0 <= ar_1 /\ ar_1 <= 2 /\ ar_3 = 1 /\ ar_1 = 0 /\ 0 < ar_0 /\ 0 <= ar_2 /\ 1 <= ar_4 ]
(Comp: 1, Cost: 24) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'' + 1, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ 0 <= i8'' - 3*div'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + 1 = 0 /\ 0 <= i8'' + 1 ]
(Comp: 1, Cost: 36) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_131(ar_1, i8'' - 3*div'''' + 2, i8'' + 2, 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ i19' <= 2 /\ 0 <= i19' /\ i8'' + 1 = i16' /\ 0 < i8'' - 3*div' /\ 0 <= i16' /\ i16' - 3*div''' = i19' /\ 1 <= i16' /\ 1 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' + ar_3 - 2 >= 0 /\ -i8'' + 3*div' + ar_3 + 1 >= 0 /\ i8'' - 3*div' - 1 >= 0 /\ -i8'' + 3*div' + 2 >= 0 /\ 2*i8'' - 3*div' - 1 >= 0 /\ 3*div' + 2 >= 0 /\ ar_1 - i8'' + 3*div' >= 0 /\ ar_1 + i8'' - 3*div' - 3 >= 0 /\ i16'' - 3*div'' < 3 /\ 0 < i16'' - 3*div'' + 3 /\ i19'' <= 2 /\ 0 <= i19'' /\ i8'' + 1 = i16'' /\ 0 <= i16'' /\ i16'' - 3*div'' = i19'' /\ 1 <= i16'' /\ i8'' + ar_3 >= 0 /\ i8'' + 1 >= 0 /\ ar_1 + i8'' - 1 >= 0 /\ i19'''' <= 2 /\ 0 <= i19'''' /\ i8'' + 2 = i16'''' /\ 0 < i8'' - 3*div'' + 1 /\ 0 <= i16'''' /\ i16'''' - 3*div''''' = i19'''' /\ 1 <= i16'''' /\ 1 <= i8'' - 3*div'' + 1 /\ 0 <= i8'' + 1 /\ i8'' - 3*div'' + 1 <= 2 /\ i8'' - 3*div'' + ar_3 - 1 >= 0 /\ -i8'' + 3*div'' + ar_3 >= 0 /\ i8'' - 3*div'' >= 0 /\ -i8'' + 3*div'' + 1 >= 0 /\ 2*i8'' - 3*div'' + 1 >= 0 /\ 3*div'' + 2 >= 0 /\ ar_1 - i8'' + 3*div'' - 1 >= 0 /\ ar_1 + i8'' - 3*div'' - 2 >= 0 /\ i16''' - 3*div'''' < 3 /\ 0 < i16''' - 3*div'''' + 3 /\ i19''' <= 2 /\ 0 <= i19''' /\ i8'' + 2 = i16''' /\ 0 <= i16''' /\ i16''' - 3*div'''' = i19''' /\ 1 <= i16''' ]
(Comp: 1, Cost: 12) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_EQ_134(ar_1, 0, i8'', 1, ar_3)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ i8' <= ar_0 /\ 1 <= ar_3 /\ 0 < ar_0 /\ i10' <= 2 /\ 0 <= i8' /\ 0 < ar_1 /\ 0 <= i10' /\ i8' - 3*div = i10' /\ ar_2 = 1 /\ ar_0 + ar_3 - 2 >= 0 /\ 0 >= 0 /\ ar_0 - 1 >= 0 /\ ar_0 + ar_1 - 3 >= 0 /\ i8'' - 3*div' < 3 /\ 0 < i8'' - 3*div' + 3 /\ i8'' <= ar_0 /\ i10'' <= 2 /\ 0 <= i8'' /\ 0 <= i10'' /\ i8'' - 3*div' = i10'' /\ 1 = 1 /\ i8'' + ar_3 - 1 >= 0 /\ i8'' >= 0 /\ ar_1 + i8'' - 2 >= 0 /\ 0 <= i8'' - 3*div' /\ i8'' - 3*div' <= 2 /\ i8'' - 3*div' = 0 ]
(Comp: 1, Cost: 0) random_InvokeMethod_100(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_103(0, ar_1, 1, ar_3, ar_4)) [ ar_1 - ar_3 - 1 >= 0 /\ ar_3 - 1 >= 0 /\ ar_2 + ar_3 - 2 >= 0 /\ -ar_2 + ar_3 >= 0 /\ ar_1 + ar_3 - 3 >= 0 /\ ar_0 + ar_3 - 1 >= 0 /\ -ar_2 + 1 >= 0 /\ ar_1 - ar_2 - 1 >= 0 /\ ar_0 - ar_2 + 1 >= 0 /\ ar_2 - 1 >= 0 /\ ar_1 + ar_2 - 3 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ ar_1 - 2 >= 0 /\ ar_0 + ar_1 - 2 >= 0 /\ -ar_0 + ar_1 - 1 >= 0 /\ ar_0 >= 0 /\ ar_0 = 0 /\ ar_2 = 1 /\ 0 <= ar_0 /\ 0 < ar_1 /\ 1 <= ar_3 ]
(Comp: 1, Cost: 7) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_InvokeMethod_100(o7', ar_0, 1, ar_2, ar_3)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_2 /\ 1 <= ar_2 /\ 0 <= ar_4 /\ 0 < ar_0 /\ 0 <= o7' /\ static'4 <= ar_4 + 1 /\ o7' < ar_0 /\ -ar_4 <= 0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) random_ArrayAccess_70(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_72(ar_0, 0, ar_3, ar_4, arityPad)) [ ar_4 - 1 >= 0 /\ ar_2 + ar_4 - 1 >= 0 /\ -ar_2 + ar_4 - 1 >= 0 /\ ar_1 + ar_4 - 1 >= 0 /\ -ar_1 + ar_4 - 1 >= 0 /\ ar_0 + ar_4 - 2 >= 0 /\ -ar_0 + ar_4 >= 0 /\ ar_0 - ar_2 - 1 >= 0 /\ ar_2 >= 0 /\ ar_1 + ar_2 >= 0 /\ -ar_1 + ar_2 >= 0 /\ ar_0 + ar_2 - 1 >= 0 /\ -ar_1 >= 0 /\ ar_0 - ar_1 - 1 >= 0 /\ ar_1 >= 0 /\ ar_0 + ar_1 - 1 >= 0 /\ ar_0 - 1 >= 0 /\ 0 <= ar_1 /\ ar_1 = 0 /\ 0 < ar_0 /\ ar_2 = ar_1 ]
(Comp: 1, Cost: 23) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(random_ArrayAccess_70(ar_0, 0, i4', ar_1, static'3)) [ 0 <= 0 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 0 < ar_0 /\ 0 <= static'2 /\ 0 <= i4' /\ static'2 <= static'1 /\ ar_0 <= static'3 /\ static''' <= ar_2 + 2 /\ 0 <= static'1 /\ static'3 <= static'2 + ar_0 /\ 0 <= ar_2 /\ -static'3 <= 0 /\ 0 <= static''' /\ 0 <= static'3 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 102

Time: 2.168 sec (SMT: 1.628 sec)

(32) BOUNDS(CONSTANT, 102)

(33) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(47)) transformation)

Extracted set of 57 edges for the analysis of TIME complexity. Dropped leaves.

(34) Obligation:

Set of 57 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 57 jbc graph edges to a weighted ITS with 57 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 57 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_12(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_12(o1, env, static) -{0,0}> langle_clinit_rangle_New_13(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_17(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_23(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_23(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_28(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_30(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_32(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_35(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_62(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i5, env, static) :|: o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_Store_78(o7, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i5, env, static') :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o7, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 <= o7 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && iconst_3 = 3 && iconst_1 = 1 && i10 < iconst_3 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5
main_EQ_131(a6, i13, i8, iconst_1, i5, env, static) -{0,0}> main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 1 <= i5 && 0 <= i13
main_EQ_133(a6, i13, i8, iconst_1, i5, env, static) -{1,1}> main_Inc_140(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && i13 <= 2 && 0 < a6 && 1 <= i13 && 0 <= i8 && 0 < i13 && 1 <= i5
main_Inc_140(a6, i8, iconst_1, i5, env, static) -{1,1}> main_JMP_154(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && i8 + 1 = i16 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_JMP_154(a6, i16, iconst_1, i5, env, static) -{1,1}> main_Load_157(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_Load_157(a6, i16, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) :|: 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_ConstantStackPush_163(a6, i16, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 1 <= i5
main_IntArithmetic_170(a6, i16, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && iconst_3 = 3 && 1 <= i16 && iconst_1 = 1 && 0 < a6 && 0 <= i19 && 1 <= i5 && i19 < iconst_3
main_EQ_187(a6, i19, i16, iconst_1, i5, env, static) -{0,0}> main_EQ_131(a6, i19, i16, iconst_1, i5, env, static) :|: i19 <= 2 && 1 <= i16 && iconst_1 = 1 && 0 <= i16 && 0 < a6 && 0 <= i19 && 1 <= i5

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

obtained
main_Load_2(o1, env, static) -{36,36}> main_EQ_131(o1, i10', i8', 1, i4', env, static'4) :|: 0 <= 1 && 1 <= i4' && 0 < 1 && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && 0 <= o7' && i10' < 3 && 0 < 2 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= 2 && static'1 <= static''' + 1 && i4' < o1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_10(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_11(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_12(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_12(o1, env, static) -{0,0}> langle_clinit_rangle_New_13(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_13(o1, env, static) -{0,0}> langle_clinit_rangle_New_15(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_15(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_17(o3, o1, env, static) :|: o3 = 1 && 0 < o3 && 0 < o1
langle_clinit_rangle_Duplicate_17(o3, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_ConstantStackPush_19(o3, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_clinit_rangle_InvokeMethod_22(o3, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_23(o3, o1, env, static) :|: NULL = 0 && 0 < o3 && 0 < o1
langle_init_rangle_Load_23(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_26(o3, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Load_28(o3, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_InvokeMethod_30(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_32(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_32(o3, o1, env, static) -{1,1}> langle_init_rangle_Return_35(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_init_rangle_Return_35(o3, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) :|: 0 < o3 && 0 < o1
langle_clinit_rangle_FieldAccess_37(o3, o1, env, static) -{1,1}> langle_clinit_rangle_Return_40(o1, env, static') :|: 0 < o3 && 0 <= o3 && 0 <= static && 0 < o1 && static' <= static + o3
langle_clinit_rangle_Return_40(o1, env, static) -{1,1}> main_Load_41(o1, env, static) :|: 0 < o1
main_Load_41(o1, env, static) -{0,0}> main_Load_42(o1, env, static) :|: 0 < o1
main_Load_42(o1, env, static) -{0,0}> main_Load_44(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_44(o1, env, static) -{0,0}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{1,1}> main_FieldAccess_51(o1, env, static) :|: 0 < o1
main_FieldAccess_51(o1, env, static) -{0,0}> main_FieldAccess_53(o1, env, static) :|: 0 < o1
main_FieldAccess_53(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_55(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_58(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_60(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_62(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_64(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_74(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i5, env, static) :|: o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_Store_78(o7, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o7, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o7, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o7, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o7, a6, iconst_0, i5, env, static) -{1,1}> random_Load_94(o7, a6, iconst_1, i5, env, static') :|: iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_94(o7, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o7, a6, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 <= o7 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_106(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_106(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_112(a6, i8, iconst_1, i5, env, static) -{1,1}> main_Load_116(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Load_116(a6, i8, iconst_1, i5, env, static) -{1,1}> main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_ConstantStackPush_121(a6, i8, iconst_1, i5, env, static) -{1,1}> main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) :|: iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_IntArithmetic_127(a6, i8, iconst_3, iconst_1, i5, env, static) -{1,1}> main_EQ_131(a6, i10, i8, iconst_1, i5, env, static) :|: 0 <= i10 && iconst_3 = 3 && iconst_1 = 1 && i10 < iconst_3 && 0 < a6 && 0 <= i8 && i10 <= 2 && 1 <= i5

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{36,36}> main_EQ_131(o1, i10', i8', 1, i4', env, static'4) :|: 0 <= 1 && 1 <= i4' && 0 < 1 && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && 0 <= o7' && i10' < 3 && 0 < 2 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= 2 && static'1 <= static''' + 1 && i4' < o1
main_EQ_131(a6, i13, i8, 1, i5, env, static) -{6,6}> main_EQ_131(a6, i19', i16', 1, i5, env, static) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

(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_EQ_131(x1, x2, x3, x4, x5, x6, x7) → main_EQ_131(x1, x2, x3, x5)

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{36,36}> main_EQ_131(o1, i10', i8', i4') :|: 0 <= 1 && 1 <= i4' && 0 < 1 && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && 0 <= o7' && i10' < 3 && 0 < 2 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= 2 && static'1 <= static''' + 1 && i4' < o1
main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i16', i5) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

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

Moved arithmethic from constraints to rhss.

main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i16', i5) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3
was transformed to
main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i8 + 1, i5) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

(42) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{36,36}> main_EQ_131(o1, i10', i8', i4') :|: 0 <= 1 && 1 <= i4' && 0 < 1 && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && 0 <= o7' && i10' < 3 && 0 < 2 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= 2 && static'1 <= static''' + 1 && i4' < o1
main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i8 + 1, i5) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

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

Simplified expressions.

main_Load_2(o1, static) -{36,36}> main_EQ_131(o1, i10', i8', i4') :|: 0 <= 1 && 1 <= i4' && 0 < 1 && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && 0 <= o7' && i10' < 3 && 0 < 2 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && 0 <= 2 && static'1 <= static''' + 1 && i4' < o1
was transformed to
main_Load_2(o1, static) -{36,36}> main_EQ_131(o1, i10', i8', i4') :|: 1 <= i4' && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && i10' < 3 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && i4' < o1

main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i8 + 1, i5) :|: 0 <= i13 && 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3
was transformed to
main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i8 + 1, i5) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3

(44) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{36,36}> main_EQ_131(o1, i10', i8', i4') :|: 1 <= i4' && i10' <= 2 && static'4 <= static'3 + 1 && 0 <= i8' && 0 <= i4' && 0 < o1 && i10' < 3 && 0 <= static'3 && 0 <= i10' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 && 0 < o7' && i8' <= o7' && o7' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && i4' < o1
main_EQ_131(a6, i13, i8, i5) -{6,6}> main_EQ_131(a6, i19', i8 + 1, i5) :|: 1 <= i5 && i19' <= 2 && 0 <= i19' && i8 + 1 = i16' && 0 < a6 && 0 < i13 && 0 <= i16' && 1 <= i16' && 1 <= i13 && 0 <= i8 && i13 <= 2 && i19' < 3