time complexity proof of /tmp/tmp6pTmZU/PastaA7.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 197 + 9 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 409 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)), 7 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 216 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 34 ms)

        ↳8 WeightedIntTrs

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

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

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

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 186 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 14 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

        ↳23 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 1 ms)

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

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

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)), 8 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 192 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 79 ms)

    ↳34 WeightedIntTrs

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

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

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

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 194 ms)

    ↳42 BOUNDS(CONSTANT, 59 + 9 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

/**
 * Example taken from "A Term Rewriting Approach to the Automated Termination
 * Analysis of Imperative Programs" (http://www.cs.unm.edu/~spf/papers/2009-02.pdf)
 * and converted to Java.
 */

public class PastaA7 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();
        int z = Random.random();

        while (x > y && x > z) {
            y++;
            z++;
        }
    }
}


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

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

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

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
PastaA7.main([Ljava/lang/String;)V: Graph of 237 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

Extracted set of 96 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 96 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 96 jbc graph edges to a weighted ITS with 96 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 96 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_32(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_51(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_51(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{1,1}> main_FieldAccess_57(o2, env, static) :|: 0 < o2
main_FieldAccess_57(o2, env, static) -{0,0}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
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(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_190(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_190(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_214(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_214(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_263(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_263(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_284(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_284(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 < i8 && 0 < a6 && 0 <= i8
main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 < i8 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 + 1 = i99 && 0 < a6 && 1 <= i99
main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 1 <= i100 && 0 < a6 && i88 + 1 = i100 && 1 <= i99
main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) -{1,1}> main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

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

obtained
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_32(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_51(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_51(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{1,1}> main_FieldAccess_57(o2, env, static) :|: 0 < o2
main_FieldAccess_57(o2, env, static) -{0,0}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
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(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < 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(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_190(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_190(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_214(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_214(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
by chaining
random_InvokeMethod_214(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_263(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_263(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_284(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_284(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
by chaining
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_LE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21
by chaining
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 < i8 && 0 < a6 && 0 <= i8
main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 < i8 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6

obtained
main_LE_402(a6, i8, i88, i21, 3, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21
by chaining
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 + 1 = i99 && 0 < a6 && 1 <= i99
main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 1 <= i100 && 0 < a6 && i88 + 1 = i100 && 1 <= i99
main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) -{1,1}> main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

(8) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_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(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < 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}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_214(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, 3, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_310(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1

main_LE_368(a6, i8, i21, i88, 3, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21
was transformed to
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3

random_InvokeMethod_214(o52, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52
was transformed to
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2

random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21
was transformed to
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3

main_LE_402(a6, i8, i88, i21, 3, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21
was transformed to
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3

random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
was transformed to
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0

(10) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
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_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
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_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Linearized lhss.

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

random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

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 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
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
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_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_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

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

main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
was transformed to
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i21 + 1, i88 + 1, 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3

random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
was transformed to
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
was transformed to
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8

main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
was transformed to
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6

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

random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

(14) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i21 + 1, i88 + 1, 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_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
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3

random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
was transformed to
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1

(16) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(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_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i21 + 1, i88 + 1, 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && x = 2
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

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

Transformed 96 jbc graph edges to a weighted ITS with 96 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.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_310(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
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_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
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_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Linearized lhss.

(24) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
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
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_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_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_368(a6, i8, i21, i88, x, i33, env, static) -{3,3}> main_LE_402(a6, i8, i88, i21, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && i21 < i8 && 1 <= i8 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_402(a6, i8, i88, i21, x, i33, env, static) -{4,4}> main_Load_359(a6, i8, i21 + 1, i88 + 1, 3, i33, env, static) :|: i88 < i8 && 1 <= i99' && i88 + 1 = i100' && 0 <= i8 && i21 + 1 = i99' && 0 <= i99' && 1 <= i8 && 0 < a6 && 0 <= i88 && 1 <= i100' && 0 <= i100' && 3 <= i33 && 0 <= i21 && x = 3
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_359(a6, i8, i21, i88', 3, i33, env, static) :|: 0 <= o191 && 0 <= i8 && 0 < o191 && 0 < a6 && 0 <= i88' && 3 <= i33 && 0 <= i21 && i88' <= o191 && x = 3
random_ArrayAccess_310(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, x, i33, env, static) -{2,2}> main_LE_368(a6, i8, i21, i88, 3, i33, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i88 && 3 <= i33 && 0 <= i21 && x = 3
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_371(a6, i8, i21, i88, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i21 && 0 < a6 && 0 <= i8
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_410(a6, i8, i88, i21, 3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i8 <= i88 && 1 <= i8 && 0 < a6
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_214(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_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
random_InvokeMethod_214(o52, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_310(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && i21' <= o52 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 2 <= i12 && -1 * static <= 2 && 0 < o52 && 0 <= o52 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_310(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_314(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_214(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_250(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

Extracted set of 88 edges for the analysis of TIME complexity. Dropped leaves.

(30) Obligation:

Set of 88 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

Transformed 88 jbc graph edges to a weighted ITS with 88 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 88 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_32(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_51(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_51(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{1,1}> main_FieldAccess_57(o2, env, static) :|: 0 < o2
main_FieldAccess_57(o2, env, static) -{0,0}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
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(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_190(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_190(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_214(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_214(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_263(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_263(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_284(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_284(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 < i8 && 0 < a6 && 0 <= i8
main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 < i8 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 + 1 = i99 && 0 < a6 && 1 <= i99
main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 1 <= i100 && 0 < a6 && i88 + 1 = i100 && 1 <= i99
main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) -{1,1}> main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

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

obtained
main_Load_1(o2, env, static) -{59,59}> main_Load_359(o2, i8', i21', i88', 3, i4', env, static'6) :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && 0 <= o25' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 + 0 && 0 <= 2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && -1 * static'4 <= 1 && 0 <= o8' && i21' <= o25' && 0 <= o2 && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i4' && 0 <= 1 && static'6 <= static'5 + 3 && 0 <= o95'
by chaining
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_14(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_17(o2, env, static) -{0,0}> langle_clinit_rangle_New_18(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_18(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_23(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_29(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_29(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_32(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_35(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_47(o2, env, static) :|: 0 < o2
main_Load_47(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_51(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_51(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{1,1}> main_FieldAccess_57(o2, env, static) :|: 0 < o2
main_FieldAccess_57(o2, env, static) -{0,0}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_60(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
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(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_80(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_85(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_95(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 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_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_131(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_169(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_179(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_186(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_190(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_190(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_214(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_214(o52, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && 0 <= o52 && iconst_2 = 2
random_InvokeMethod_248(o52, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_263(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && i21 <= o52 && 2 <= i12 && 0 < o52 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Return_263(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_284(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_284(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_295(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_300(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_307(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_310(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_310(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_315(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8

obtained
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{9,9}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21
by chaining
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_363(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_LE_368(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && i21 < i8 && 0 < a6 && 0 <= i8
main_LE_374(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 < i8 && 0 < a6 && 0 <= i8
main_Load_382(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_Load_398(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 0 < a6
main_LE_402(a6, i8, i88, i21, iconst_3, i33, env, static) -{0,0}> main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_LE_411(a6, i8, i88, i21, iconst_3, i33, env, static) -{1,1}> main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i88 < i8 && 0 < a6
main_Inc_435(a6, i8, i21, i88, iconst_3, i33, env, static) -{1,1}> main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && i21 + 1 = i99 && 0 < a6 && 1 <= i99
main_Inc_441(a6, i8, i99, i88, iconst_3, i33, env, static) -{1,1}> main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 0 <= i88 && 1 <= i8 && 1 <= i100 && 0 < a6 && i88 + 1 = i100 && 1 <= i99
main_JMP_445(a6, i8, i99, i100, iconst_3, i33, env, static) -{1,1}> main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 1 <= i100 && 0 < a6 && 1 <= i99
main_Load_459(a6, i8, i99, i100, iconst_3, i33, env, static) -{0,0}> main_Load_359(a6, i8, i99, i100, iconst_3, i33, env, static) :|: 3 <= i33 && iconst_3 = 3 && 1 <= i8 && 0 <= i100 && 1 <= i100 && 0 < a6 && 0 <= i99 && 0 <= i8 && 1 <= i99

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{59,59}> main_Load_359(o2, i8', i21', i88', 3, i4', env, static'6) :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && 0 <= o25' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 + 0 && 0 <= 2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && -1 * static'4 <= 1 && 0 <= o8' && i21' <= o25' && 0 <= o2 && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i4' && 0 <= 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i21, i88, 3, i33, env, static) -{9,9}> main_Load_359(a6, i8, i99', i100', 3, i33, env, static) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21

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

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

main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_359(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_359(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{59,59}> main_Load_359(o2, i8', i21', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && 0 <= o25' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 + 0 && 0 <= 2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && -1 * static'4 <= 1 && 0 <= o8' && i21' <= o25' && 0 <= o2 && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i4' && 0 <= 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i21, i88, i33) -{9,9}> main_Load_359(a6, i8, i99', i100', i33) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21

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

Moved arithmethic from constraints to rhss.

main_Load_359(a6, i8, i21, i88, i33) -{9,9}> main_Load_359(a6, i8, i99', i100', i33) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21
was transformed to
main_Load_359(a6, i8, i21, i88, i33) -{9,9}> main_Load_359(a6, i8, i21 + 1, i88 + 1, i33) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{59,59}> main_Load_359(o2, i8', i21', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && 0 <= o25' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 + 0 && 0 <= 2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && -1 * static'4 <= 1 && 0 <= o8' && i21' <= o25' && 0 <= o2 && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i4' && 0 <= 1 && static'6 <= static'5 + 3 && 0 <= o95'
main_Load_359(a6, i8, i21, i88, i33) -{9,9}> main_Load_359(a6, i8, i21 + 1, i88 + 1, i33) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21

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

Simplified expressions.

main_Load_1(o2, static) -{59,59}> main_Load_359(o2, i8', i21', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && 0 <= o25' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 + 0 && 0 <= 2 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && 0 < 1 && -1 * static'4 <= 1 && 0 <= o8' && i21' <= o25' && 0 <= o2 && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && 0 < 2 && static'4 <= static'3 + 1 && 0 <= i4' && 0 <= 1 && static'6 <= static'5 + 3 && 0 <= o95'
was transformed to
main_Load_1(o2, static) -{59,59}> main_Load_359(o2, i8', i21', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && i21' <= o25' && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= i4' && static'6 <= static'5 + 3

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{59,59}> main_Load_359(o2, i8', i21', i88', i4') :|: 1 <= i4' && 0 <= i8' && static'5 <= static'4 + 2 && 0 < o2 && 0 < o95' && 0 <= i88' && i4' < o2 && 3 <= i4' && 0 <= i21' && o95' < o2 && 2 <= static'5 && static'3 <= static'2 + o2 && i88' <= o95' && -1 * static'5 <= 2 && static'2 <= static'1 && o8' < o2 && 0 <= static'4 && o2 <= static'4 && i8' <= o8' && 0 < o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && i21' <= o25' && 1 <= static'4 && o25' < o2 && o2 <= static'5 && 0 < o25' && 0 <= static'5 && 2 <= i4' && static'4 <= static'3 + 1 && 0 <= i4' && static'6 <= static'5 + 3
main_Load_359(a6, i8, i21, i88, i33) -{9,9}> main_Load_359(a6, i8, i21 + 1, i88 + 1, i33) :|: 0 <= i8 && 1 <= i99' && i21 < i8 && i88 + 1 = i100' && 0 <= i99' && i88 < i8 && 0 < a6 && 1 <= i8 && 1 <= i100' && i21 + 1 = i99' && 0 <= i100' && 0 <= i88 && 3 <= i33 && 0 <= i21

(41) koat Proof (EQUIVALENT transformation)

YES(?, 9*ar_0 + 59)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ 3 <= i4' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ static'3 <= static'2 + ar_0 /\ i88' <= o95' /\ -static'5 <= 2 /\ static'2 <= static'1 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ 0 <= i4' /\ static'6 <= static'5 + 3 ]
(Comp: ?, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ ar_2 < ar_1 /\ ar_3 + 1 = i100' /\ 0 <= i99' /\ ar_3 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 1 <= i100' /\ ar_2 + 1 = i99' /\ 0 <= i100' /\ 0 <= ar_3 /\ 3 <= ar_4 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ 3 <= i4' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ static'3 <= static'2 + ar_0 /\ i88' <= o95' /\ -static'5 <= 2 /\ static'2 <= static'1 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ 0 <= i4' /\ static'6 <= static'5 + 3 ]
(Comp: ?, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ ar_2 < ar_1 /\ ar_3 + 1 = i100' /\ 0 <= i99' /\ ar_3 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 1 <= i100' /\ ar_2 + 1 = i99' /\ 0 <= i100' /\ 0 <= ar_3 /\ 3 <= ar_4 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_1) = V_1
Pol(main_Load_359) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ ar_2 < ar_1 /\ ar_3 + 1 = i100' /\ 0 <= i99' /\ ar_3 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 1 <= i100' /\ ar_2 + 1 = i99' /\ 0 <= i100' /\ 0 <= ar_3 /\ 3 <= ar_4 /\ 0 <= ar_2 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, i8', i21', i88', i4')) [ 1 <= i4' /\ 0 <= i8' /\ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 0 < o95' /\ 0 <= i88' /\ i4' < ar_0 /\ 3 <= i4' /\ 0 <= i21' /\ o95' < ar_0 /\ 2 <= static'5 /\ static'3 <= static'2 + ar_0 /\ i88' <= o95' /\ -static'5 <= 2 /\ static'2 <= static'1 /\ o8' < ar_0 /\ 0 <= static'4 /\ ar_0 <= static'4 /\ i8' <= o8' /\ 0 < o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ i21' <= o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 < o25' /\ 0 <= static'5 /\ 2 <= i4' /\ static'4 <= static'3 + 1 /\ 0 <= i4' /\ static'6 <= static'5 + 3 ]
(Comp: ar_0, Cost: 9) main_Load_359(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_359(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 1 <= i99' /\ ar_2 < ar_1 /\ ar_3 + 1 = i100' /\ 0 <= i99' /\ ar_3 < ar_1 /\ 0 < ar_0 /\ 1 <= ar_1 /\ 1 <= i100' /\ ar_2 + 1 = i99' /\ 0 <= i100' /\ 0 <= ar_3 /\ 3 <= ar_4 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 9*ar_0 + 59

Time: 0.320 sec (SMT: 0.285 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

(4) Obligation:

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

(6) Obligation:

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

(8) Obligation:

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

(10) Obligation:

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

(12) Obligation:

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

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)) transformation)

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

(41) koat Proof (EQUIVALENT transformation)

(42) BOUNDS(CONSTANT, 59 + 9 * |args|)