time complexity proof of /tmp/tmpWC8dM2/PastaB10.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 146 + 44 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 319 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)), 2 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 218 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 60 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), 12 ms)

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 229 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 36 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), 18 ms)

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)), 0 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 265 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 67 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 19 ms)

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

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

    ↳40 WeightedIntTrs

    ↳41 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 6 ms)

    ↳42 WeightedIntTrs

    ↳43 koat Proof (⇔, 154 ms)

    ↳44 BOUNDS(CONSTANT, 54 + 44 * |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 PastaB10 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x + y > 0) {
            if (x > 0) {
                x--;
            } else if (y > 0) {
                y--;
            } else {
                continue;
            }            
        }
    }
}


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:
PastaB10.main([Ljava/lang/String;)V: Graph of 180 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

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

(4) Obligation:

Set of 88 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 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.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 88 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_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_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_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_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_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(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_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_50(o2, env, static) :|: 0 < o2
main_Load_50(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_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_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_158(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_158(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_183(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_183(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_198(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_198(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_206(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_206(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_227(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_227(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_250(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_250(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_263(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_263(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_274(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_288(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_306(a6, i29, i8, i23, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && i8 + i23 = i29 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_306(a6, i31, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) :|: 0 <= i31 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_337(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i31 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_Load_337(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_354(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_LE_367(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 1 <= i38 && 0 <= i23
main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_367(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i38 && 0 < a6 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_405(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) :|: i38 + -1 = i44 && 2 <= i12 && 0 < a6 && 0 <= i44 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_LE_405(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_415(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_405(a6, i46, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 <= i46 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) -{1,1}> main_Load_431(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23
main_LE_415(a6, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_452(a6, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 < i46 && iconst_2 = 2
main_Load_431(a6, i44, i23, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23
main_Load_452(a6, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) -{1,1}> main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && i46 + -1 = i58 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) -{1,1}> main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2

(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_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_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_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_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_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(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_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_50(o2, env, static) :|: 0 < o2
main_Load_50(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_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, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_158(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_158(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_183(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_183(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_198(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_198(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_206(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_206(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_227(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_227(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
by chaining
random_InvokeMethod_227(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_250(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_250(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_263(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_263(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_Load_274(a6, i8, i23, 2, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29'
by chaining
main_Load_274(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_288(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_306(a6, i29, i8, i23, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && i8 + i23 = i29 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_306(a6, i31, i8, i23, 2, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31
by chaining
main_LE_306(a6, i31, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) :|: 0 <= i31 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_337(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i31 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_Load_337(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_354(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_354(a6, i38, i23, 2, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
by chaining
main_LE_354(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_LE_367(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 1 <= i38 && 0 <= i23
main_LE_367(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i38 && 0 < a6 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) :|: i38 + -1 = i44 && 2 <= i12 && 0 < a6 && 0 <= i44 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) -{1,1}> main_Load_431(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23
main_Load_431(a6, i44, i23, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_354(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
by chaining
main_LE_354(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_405(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23

obtained
main_LE_405(a6, i46, 0, 2, i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
by chaining
main_LE_405(a6, i46, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 <= i46 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 < i46 && iconst_2 = 2
main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) -{1,1}> main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && i46 + -1 = i58 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) -{1,1}> main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2

obtained
main_LE_405(a6, 0, 0, 2, i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6
by chaining
main_LE_405(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_415(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_415(a6, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_452(a6, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Load_452(a6, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2

(8) Obligation:

IntTrs with 16 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_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_227(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
main_Load_274(a6, i8, i23, 2, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29'
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_306(a6, i31, i8, i23, 2, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31
main_LE_354(a6, i38, i23, 2, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
main_LE_354(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
main_LE_405(a6, i46, 0, 2, i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
main_LE_405(a6, 0, 0, 2, i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6

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

Moved arithmethic from lhss to constraints.

main_LE_405(a6, i46, 0, 2, i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
was transformed to
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2

main_LE_354(a6, i38, i23, 2, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
was transformed to
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2

main_Load_274(a6, i8, i23, 2, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29'
was transformed to
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_227(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_LE_306(a6, i31, i8, i23, 2, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31
was transformed to
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_227(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50
was transformed to
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_LE_354(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
was transformed to
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

main_LE_405(a6, 0, 0, 2, i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6
was transformed to
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2

(10) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, 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_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

(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_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(12) Obligation:

IntTrs with 16 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_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
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_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(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_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
was transformed to
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 + -1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2

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

random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
was transformed to
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i8 + i23, i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2

main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
was transformed to
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 + -1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2

main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
was transformed to
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, 0, i8, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(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_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(14) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 + -1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i8 + i23, i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 + -1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, 0, i8, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(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

main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
was transformed to
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
was transformed to
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2

main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
was transformed to
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2

main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 + -1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
was transformed to
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 - 1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i58' && i46 - 1 = i58' && 0 < i46 && x = 0 && x' = 2

main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
was transformed to
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2

main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 + -1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
was transformed to
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 - 1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 - 1 = i44' && x = 2

(16) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, 0, i8, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i8 + i23, i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 - 1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i58' && i46 - 1 = i58' && 0 < i46 && x = 0 && x' = 2
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
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_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 - 1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 - 1 = i44' && x = 2
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

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

Transformed 88 jbc graph edges to a weighted ITS with 88 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

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

Linearized lhss.

(24) Obligation:

IntTrs with 16 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_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
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_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i29', i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, iconst_0, i8, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 16 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_227(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_238(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
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_405(a6, i46, x, x', i12, env, static) -{3,3}> main_Load_274(a6, 0, i46 + -1, 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46 && x = 0 && x' = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_405(a6, x, x', x'', i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0 && x' = 0 && x'' = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_227(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_227(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_274(a6, i8, i23', 2, i12, env, static) :|: 0 < a6 && 0 <= i23' && 0 <= o50 && 0 <= i8 && 0 < o50 && 2 <= i12 && i23' <= o50 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_274(a6, i8, i23, x, i12, env, static) -{3,3}> main_LE_306(a6, i8 + i23, i8, i23, 2, i12, env, static) :|: 0 < a6 && 0 <= i23 && 2 <= i12 && 0 <= i8 && i8 + i23 = i29' && 0 <= i29' && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_LE_306(a6, i31, i8, i23, x, i12, env, static) -{2,2}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i31 && 0 <= i23 && 2 <= i12 && 0 <= i31 && 0 <= i8 && 0 < a6 && 1 <= i31 && x = 2
main_LE_354(a6, i38, i23, x, i12, env, static) -{3,3}> main_Load_274(a6, i38 + -1, i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44' && x = 2
main_LE_306(a6, iconst_0, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_317(a6, 0, i8, i23, 2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, x, i23, x', i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0 && x' = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

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

Simplified expressions.

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) transformation)

Extracted set of 83 edges for the analysis of TIME complexity. Dropped leaves.

(30) Obligation:

Set of 83 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 83 jbc graph edges to a weighted ITS with 83 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 83 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_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_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_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_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_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(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_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_50(o2, env, static) :|: 0 < o2
main_Load_50(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_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, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_158(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_158(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_183(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_183(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_198(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_198(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_206(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_206(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_227(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_227(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_250(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_250(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_263(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_263(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_274(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_288(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_306(a6, i29, i8, i23, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && i8 + i23 = i29 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_306(a6, i31, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) :|: 0 <= i31 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_337(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i31 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_Load_337(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_354(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, iconst_0, i23, iconst_2, i12, env, static) -{0,0}> main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_354(a6, i38, i23, iconst_2, i12, env, static) -{0,0}> main_LE_367(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i38 && 0 < a6 && iconst_2 = 2 && 1 <= i38 && 0 <= i23
main_LE_366(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_LE_367(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i38 && 0 < a6 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_Load_392(a6, iconst_0, i23, iconst_2, i12, env, static) -{1,1}> main_LE_405(a6, i23, iconst_0, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2 && 0 <= i23
main_Inc_395(a6, i38, i23, iconst_2, i12, env, static) -{1,1}> main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) :|: i38 + -1 = i44 && 2 <= i12 && 0 < a6 && 0 <= i44 && 1 <= i38 && iconst_2 = 2 && 0 <= i23
main_LE_405(a6, iconst_0, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_415(a6, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_405(a6, i46, iconst_0, iconst_2, i12, env, static) -{0,0}> main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 <= i46 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_JMP_408(a6, i44, i23, iconst_2, i12, env, static) -{1,1}> main_Load_431(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23
main_LE_415(a6, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Load_452(a6, iconst_0, iconst_2, i12, env, static) :|: iconst_0 <= 0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_LE_416(a6, i46, iconst_0, iconst_2, i12, env, static) -{1,1}> main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 < i46 && iconst_2 = 2
main_Load_431(a6, i44, i23, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, i44, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i44 && iconst_2 = 2 && 0 <= i23
main_Load_452(a6, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, iconst_0, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && iconst_2 = 2
main_Inc_455(a6, iconst_0, i46, iconst_2, i12, env, static) -{1,1}> main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && i46 + -1 = i58 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_JMP_472(a6, iconst_0, i58, iconst_2, i12, env, static) -{1,1}> main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2
main_Load_485(a6, iconst_0, i58, iconst_2, i12, env, static) -{0,0}> main_Load_274(a6, iconst_0, i58, iconst_2, i12, env, static) :|: 0 <= iconst_0 && 2 <= i12 && iconst_0 = 0 && 0 <= i58 && 0 < a6 && iconst_2 = 2

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

obtained
main_Load_1(o2, env, static) -{46,46}> main_Load_274(o2, i8', i23', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
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_6(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_6(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_13(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_16(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_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_19(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_19(o2, env, static) -{0,0}> langle_clinit_rangle_New_20(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_20(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_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_26(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(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_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_50(o2, env, static) :|: 0 < o2
main_Load_50(o2, env, static) -{0,0}> main_Load_53(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_53(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_56(o2, env, static) :|: 0 < o2
main_Load_56(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_60(o2, env, static) :|: 0 < o2
main_FieldAccess_60(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_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, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_95(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_95(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_108(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_108(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_114(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_114(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_119(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_123(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_138(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_158(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_158(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_163(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_183(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_183(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_194(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_198(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_198(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_206(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_206(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_227(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_227(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_236(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_250(i23, a6, i8, iconst_2, i12, env, static) :|: i23 <= o50 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
random_Return_250(i23, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_263(a6, i23, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Store_263(a6, i23, i8, iconst_2, i12, env, static) -{1,1}> main_Load_274(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

obtained
main_Load_274(a6, i8, i23, 2, i12, env, static) -{5,5}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
by chaining
main_Load_274(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_Load_288(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_IntArithmetic_298(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_306(a6, i29, i8, i23, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && i8 + i23 = i29 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23
main_LE_306(a6, i31, i8, i23, iconst_2, i12, env, static) -{0,0}> main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) :|: 0 <= i31 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_LE_320(a6, i31, i8, i23, iconst_2, i12, env, static) -{1,1}> main_Load_337(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < i31 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 1 <= i31 && 0 <= i23
main_Load_337(a6, i8, i23, iconst_2, i12, env, static) -{1,1}> main_LE_354(a6, i8, i23, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 0 <= i23

(34) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{46,46}> main_Load_274(o2, i8', i23', 2, i4', env, static'5) :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_274(a6, i8, i23, 2, i12, env, static) -{5,5}> main_LE_354(a6, i8, i23, 2, i12, env, static) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
main_LE_354(a6, i38, i23, 2, i12, env, static) -{3,3}> main_Load_274(a6, i44', i23, 2, i12, env, static) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
main_LE_354(a6, 0, i23, 2, i12, env, static) -{2,2}> main_LE_405(a6, i23, 0, 2, i12, env, static) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
main_LE_405(a6, i46, 0, 2, i12, env, static) -{3,3}> main_Load_274(a6, 0, i58', 2, i12, env, static) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
main_LE_405(a6, 0, 0, 2, i12, env, static) -{1,1}> main_Load_274(a6, 0, 0, 2, i12, env, static) :|: 0 <= 0 && 2 <= i12 && 0 < a6

(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_274(x1, x2, x3, x4, x5, x6, x7) → main_Load_274(x1, x2, x3, x5)
main_LE_354(x1, x2, x3, x4, x5, x6, x7) → main_LE_354(x1, x2, x3, x5)
main_LE_405(x1, x2, x3, x4, x5, x6, x7) → main_LE_405(x1, x2, x5)

(36) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i44', i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
main_LE_354(a6, 0, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i58', i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
main_LE_405(a6, 0, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6

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

Moved arithmethic from lhss to constraints.

main_LE_405(a6, 0, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6
was transformed to
main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0

main_LE_354(a6, 0, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6
was transformed to
main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0

(38) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i58', i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i44', i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0
main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0

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

Moved arithmethic from constraints to rhss.

main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i44', i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
was transformed to
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i38 + -1, i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'

main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i58', i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
was transformed to
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i46 + -1, i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46

(40) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i38 + -1, i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i46 + -1, i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0
main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0

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

Simplified expressions.

main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && 0 <= i29' && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
was transformed to
main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'

main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= 1 && 0 < 2 && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 1 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 <= o2 && 0 <= 2 && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 + 0 && 0 <= o25' && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
was transformed to
main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'

main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= 0 && 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0
was transformed to
main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0

main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i38 + -1, i23, i12) :|: 0 < i38 && 0 <= i23 && 0 <= i38 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 + -1 = i44'
was transformed to
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i38 - 1, i23, i12) :|: 0 < i38 && 0 <= i23 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 - 1 = i44'

main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i46 + -1, i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i46 && 0 <= i58' && 0 <= 0 && i46 + -1 = i58' && 0 < i46
was transformed to
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i46 - 1, i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i58' && i46 - 1 = i58' && 0 < i46

main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 0 <= 0 && 2 <= i12 && 0 < a6 && x = 0
was transformed to
main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 2 <= i12 && 0 < a6 && x = 0

(42) Obligation:

IntTrs with 6 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_LE_354(a6, x, i23, i12) -{2,2}> main_LE_405(a6, i23, i12) :|: 0 <= i23 && 2 <= i12 && 0 < a6 && x = 0
main_Load_274(a6, i8, i23, i12) -{5,5}> main_LE_354(a6, i8, i23, i12) :|: 0 < i29' && 0 <= i23 && i8 + i23 = i29' && 0 <= i8 && 2 <= i12 && 0 < a6 && 1 <= i29'
main_LE_354(a6, i38, i23, i12) -{3,3}> main_Load_274(a6, i38 - 1, i23, i12) :|: 0 < i38 && 0 <= i23 && 2 <= i12 && 0 <= i44' && 1 <= i38 && 0 < a6 && i38 - 1 = i44'
main_LE_405(a6, i46, i12) -{3,3}> main_Load_274(a6, 0, i46 - 1, i12) :|: 1 <= i46 && 2 <= i12 && 0 < a6 && 0 <= i58' && i46 - 1 = i58' && 0 < i46
main_Load_1(o2, static) -{46,46}> main_Load_274(o2, i8', i23', i4') :|: static'4 <= static'3 + 1 && 0 <= i23' && 0 <= i8' && o25' < o2 && 2 <= i4' && 0 < o2 && 0 <= i4' && 1 <= static'4 && i23' <= o25' && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static && 0 <= static''' && static''' <= static + 2 && 0 <= static'1 && static'1 <= static''' + 1 && o2 <= static'3 && 0 <= static'2 && -1 * static'3 <= 0 && i8' <= o8' && 0 < o8' && 0 <= static'4 && o2 <= static'4 && o8' < o2 && static'2 <= static'1 && static'3 <= static'2 + o2 && i4' < o2 && static'5 <= static'4 + 2 && 1 <= i4'
main_LE_405(a6, x, i12) -{1,1}> main_Load_274(a6, 0, 0, i12) :|: 2 <= i12 && 0 < a6 && x = 0

(43) koat Proof (EQUIVALENT transformation)

YES(?, 44*ar_0 + 54)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 2) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_405(ar_0, ar_2, ar_3, arityPad)) [ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: ?, Cost: 5) main_Load_274(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_354(ar_0, ar_1, ar_2, ar_3)) [ 0 < i29' /\ 0 <= ar_2 /\ ar_1 + ar_2 = i29' /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_0 /\ 1 <= i29' ]
(Comp: ?, Cost: 3) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 <= i44' /\ 1 <= ar_1 /\ 0 < ar_0 /\ ar_1 - 1 = i44' ]
(Comp: ?, Cost: 3) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, ar_1 - 1, ar_2)) [ 1 <= ar_1 /\ 2 <= ar_2 /\ 0 < ar_0 /\ 0 <= i58' /\ ar_1 - 1 = i58' /\ 0 < ar_1 ]
(Comp: ?, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, i8', i23', i4')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i4' /\ 0 < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: ?, Cost: 1) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, 0, ar_2)) [ 2 <= ar_2 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 2) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_405(ar_0, ar_2, ar_3, arityPad)) [ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: ?, Cost: 5) main_Load_274(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_354(ar_0, ar_1, ar_2, ar_3)) [ 0 < i29' /\ 0 <= ar_2 /\ ar_1 + ar_2 = i29' /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_0 /\ 1 <= i29' ]
(Comp: ?, Cost: 3) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 <= i44' /\ 1 <= ar_1 /\ 0 < ar_0 /\ ar_1 - 1 = i44' ]
(Comp: ?, Cost: 3) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, ar_1 - 1, ar_2)) [ 1 <= ar_1 /\ 2 <= ar_2 /\ 0 < ar_0 /\ 0 <= i58' /\ ar_1 - 1 = i58' /\ 0 < ar_1 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, i8', i23', i4')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i4' /\ 0 < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: ?, Cost: 1) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, 0, ar_2)) [ 2 <= ar_2 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_LE_354) = V_2 + V_3
Pol(main_LE_405) = V_2
Pol(main_Load_274) = V_2 + V_3
Pol(main_Load_1) = 2*V_1
Pol(koat_start) = 2*V_1
orients all transitions weakly and the transitions
main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, ar_1 - 1, ar_2)) [ 1 <= ar_1 /\ 2 <= ar_2 /\ 0 < ar_0 /\ 0 <= i58' /\ ar_1 - 1 = i58' /\ 0 < ar_1 ]
main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 <= i44' /\ 1 <= ar_1 /\ 0 < ar_0 /\ ar_1 - 1 = i44' ]
strictly and produces the following problem:
3: T:
(Comp: ?, Cost: 2) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_405(ar_0, ar_2, ar_3, arityPad)) [ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: ?, Cost: 5) main_Load_274(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_354(ar_0, ar_1, ar_2, ar_3)) [ 0 < i29' /\ 0 <= ar_2 /\ ar_1 + ar_2 = i29' /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_0 /\ 1 <= i29' ]
(Comp: 2*ar_0, Cost: 3) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 <= i44' /\ 1 <= ar_1 /\ 0 < ar_0 /\ ar_1 - 1 = i44' ]
(Comp: 2*ar_0, Cost: 3) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, ar_1 - 1, ar_2)) [ 1 <= ar_1 /\ 2 <= ar_2 /\ 0 < ar_0 /\ 0 <= i58' /\ ar_1 - 1 = i58' /\ 0 < ar_1 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, i8', i23', i4')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i4' /\ 0 < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: ?, Cost: 1) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, 0, ar_2)) [ 2 <= ar_2 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 3 produces the following problem:
4: T:
(Comp: 4*ar_0 + 1, Cost: 2) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_405(ar_0, ar_2, ar_3, arityPad)) [ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: 4*ar_0 + 1, Cost: 5) main_Load_274(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_LE_354(ar_0, ar_1, ar_2, ar_3)) [ 0 < i29' /\ 0 <= ar_2 /\ ar_1 + ar_2 = i29' /\ 0 <= ar_1 /\ 2 <= ar_3 /\ 0 < ar_0 /\ 1 <= i29' ]
(Comp: 2*ar_0, Cost: 3) main_LE_354(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, ar_1 - 1, ar_2, ar_3)) [ 0 < ar_1 /\ 0 <= ar_2 /\ 2 <= ar_3 /\ 0 <= i44' /\ 1 <= ar_1 /\ 0 < ar_0 /\ ar_1 - 1 = i44' ]
(Comp: 2*ar_0, Cost: 3) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, ar_1 - 1, ar_2)) [ 1 <= ar_1 /\ 2 <= ar_2 /\ 0 < ar_0 /\ 0 <= i58' /\ ar_1 - 1 = i58' /\ 0 < ar_1 ]
(Comp: 1, Cost: 46) main_Load_1(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, i8', i23', i4')) [ static'4 <= static'3 + 1 /\ 0 <= i23' /\ 0 <= i8' /\ o25' < ar_0 /\ 2 <= i4' /\ 0 < ar_0 /\ 0 <= i4' /\ 1 <= static'4 /\ i23' <= o25' /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= ar_1 /\ 0 <= static''' /\ static''' <= ar_1 + 2 /\ 0 <= static'1 /\ static'1 <= static''' + 1 /\ ar_0 <= static'3 /\ 0 <= static'2 /\ -static'3 <= 0 /\ i8' <= o8' /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ static'2 <= static'1 /\ static'3 <= static'2 + ar_0 /\ i4' < ar_0 /\ static'5 <= static'4 + 2 /\ 1 <= i4' ]
(Comp: 4*ar_0 + 1, Cost: 1) main_LE_405(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_274(ar_0, 0, 0, ar_2)) [ 2 <= ar_2 /\ 0 < ar_0 /\ ar_1 = 0 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 44*ar_0 + 54

Time: 0.236 sec (SMT: 0.210 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)) 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(92)) 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) MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

(38) Obligation:

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

(40) Obligation:

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

(42) Obligation:

(43) koat Proof (EQUIVALENT transformation)

(44) BOUNDS(CONSTANT, 54 + 44 * |args|)