time complexity proof of /tmp/tmpjimJq0/PastaC7.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 197 + 16 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 457 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)), 0 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 172 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 75 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), 23 ms)

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 170 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 25 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

        ↳23 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 3 ms)

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

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

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(138)), 0 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 155 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 101 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 32 ms)

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

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

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 153 ms)

    ↳42 BOUNDS(CONSTANT, 59 + 16 * |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 PastaC7 {
    public static void main(String[] args) {
        Random.args = args;
        int i = Random.random();
        int j = Random.random();
        int k = Random.random();

        while (i <= 100 && j <= k) {
            int t = i;
            i = j;
            j = i + 1;
            k--;
        }
    }
}


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:
PastaC7.main([Ljava/lang/String;)V: Graph of 245 nodes with 1 SCC.

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

Extracted set of 104 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 104 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 104 jbc graph edges to a weighted ITS with 104 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 104 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_29(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_44(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_44(o1, env, static) -{1,1}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(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_138(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_138(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_195(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_195(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_235(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_235(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_242(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_291(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_291(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_291(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_512(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && -1 <= i88
main_Load_512(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 0 <= i111 && -1 <= i113
main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_GT_517(a331, i111, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && iconst_100 = 100 && 0 < a331 && 0 <= i111 && -1 <= i113
main_GT_517(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && i123 <= iconst_100 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) -{1,1}> main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) -{1,1}> main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 <= i113 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_543(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Load_543(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_552(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Store_552(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_553(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Load_553(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331
main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) -{1,1}> main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331 && 1 <= i126 && i112 + iconst_1 = i126
main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && 1 <= i126
main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) -{1,1}> main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && i113 + -1 = i127 && 1 <= i126
main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) -{1,1}> main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126
main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) -{0,0}> main_Load_512(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126 && 0 <= i126

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_29(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_44(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_44(o1, env, static) -{1,1}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_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_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_138(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_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(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_138(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_138(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_195(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_195(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_235(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_235(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_242(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_291(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
random_ArrayAccess_291(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
by chaining
random_ArrayAccess_291(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8

obtained
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191
by chaining
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_512(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && -1 <= i88

obtained
main_Load_512(a331, i111, i112, i113, 3, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33
by chaining
main_Load_512(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 0 <= i111 && -1 <= i113
main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_GT_517(a331, i111, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && iconst_100 = 100 && 0 < a331 && 0 <= i111 && -1 <= i113

obtained
main_GT_517(a331, i123, 100, i112, i113, 3, i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33
by chaining
main_GT_517(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && i123 <= iconst_100 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) -{1,1}> main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100

obtained
main_GT_535(a331, i112, i113, i123, 3, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100
by chaining
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) -{1,1}> main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 <= i113 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_543(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Load_543(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_552(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Store_552(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_553(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Load_553(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331
main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) -{1,1}> main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331 && 1 <= i126 && i112 + iconst_1 = i126
main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && 1 <= i126
main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) -{1,1}> main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && i113 + -1 = i127 && 1 <= i126
main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) -{1,1}> main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126
main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) -{0,0}> main_Load_512(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126 && 0 <= i126

(8) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_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_138(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_138(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_138(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50
random_ArrayAccess_291(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_291(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191
main_Load_512(a331, i111, i112, i113, 3, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
main_GT_517(a331, i123, 100, i112, i113, 3, i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, 3, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100

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

Moved arithmethic from lhss to constraints.

main_GT_535(a331, i112, i113, i123, 3, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100
was transformed to
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3

main_GT_517(a331, i123, 100, i112, i113, 3, i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33
was transformed to
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_138(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_138(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_73(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_73(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_Load_512(a331, i111, i112, i113, 3, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33
was transformed to
main_Load_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3

random_ArrayAccess_291(a6, 2, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3
was transformed to
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2

random_InvokeMethod_342(o191, a6, i8, i21, 3, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2

random_ArrayAccess_138(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

(10) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_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(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_73(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_Load_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2
random_ArrayAccess_291(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
random_ArrayAccess_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_138(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8

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

Linearized lhss.

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

random_ArrayAccess_138(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_ArrayAccess_291(a6, iconst_2, i8, i21, iconst_2, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2
was transformed to
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

(12) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_Load_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_73(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_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
random_ArrayAccess_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(NULL, a6, i8, i21, iconst_3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2
random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

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

Moved arithmethic from constraints to rhss.

main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
was transformed to
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, 100, i112, i113, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113

random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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(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_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
was transformed to
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100

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

main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
was transformed to
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 + -1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3

random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, iconst_2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
was transformed to
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2

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

(14) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, 100, i112, i113, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_Load_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3
random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
random_ArrayAccess_73(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_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 + -1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2

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

Simplified expressions.

main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 + -1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
was transformed to
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 - 1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 - 1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_138(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_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3
was transformed to
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && x = 3

main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && i21' <= o50 && x = 2

(16) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 - 1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 - 1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
random_ArrayAccess_73(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_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && x = 3
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, 100, i112, i113, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_ArrayAccess_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_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_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && i21' <= o50 && x = 2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8

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

Transformed 104 jbc graph edges to a weighted ITS with 104 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

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

Linearized lhss.

(24) Obligation:

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 18 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_GT_517(a331, i124, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_521(a331, i124, 100, i112, i113, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i124 && 101 <= i124 && iconst_100 = 100 && 0 < a331 && -1 <= i113
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_138(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_Load_512(a331, i111, i112, i113, x, i33, env, static) -{2,2}> main_GT_517(a331, i111, 100, i112, i113, 3, i33, env, static) :|: -1 <= i113 && 0 <= i111 && 0 < a331 && 0 <= i112 && 3 <= i33 && x = 3
main_GT_517(a331, i123, x, i112, i113, x', i33, env, static) -{3,3}> main_GT_535(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i123 && i123 <= 100 && 0 < a331 && -1 <= i113 && 0 <= i112 && 3 <= i33 && x = 100 && x' = 3
random_ArrayAccess_291(a6, x, i8, i21, i33, env, static) -{7,7}> random_InvokeMethod_342(o95', a6, i8, i21, 3, i33, env, static'6) :|: 2 <= i33 && 0 <= i8 && o95' < a6 && 0 < a6 && 3 <= i33 && 0 <= static && 0 <= i21 && 0 <= o95' && 2 <= static && -1 * static <= 2 && static'6 <= static + 3 && x = 2
random_InvokeMethod_342(o191, a6, i8, i21, x, i33, env, static) -{3,3}> main_Load_512(a6, i8, i21, i88', 3, i33, env, static) :|: i88' <= o191 && -1 <= i88' && 0 <= i21 && 0 <= i8 && 3 <= i33 && 0 < a6 && 0 <= i88' && 0 < o191 && 0 <= o191 && x = 3
random_ArrayAccess_138(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_145(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_222(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
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_536(a331, i112, i113, i123, 3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i113 < i112 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
random_ArrayAccess_73(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_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_GT_535(a331, i112, i113, i123, x, i33, env, static) -{11,11}> main_Load_512(a331, i112, i112 + 1, i113 + -1, 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && i112 <= i113 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && 0 <= i123 && -1 <= i113 && i123 <= 100 && x = 3
random_ArrayAccess_291(a6, iconst_2, i8, i21, x, env, static) -{0,0}> random_ArrayAccess_302(a6, 2, i8, i21, env, static) :|: 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && 2 <= iconst_2 && x = iconst_2
random_InvokeMethod_342(NULL, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_346(0, a6, i8, i21, 3, i33, env, static) :|: NULL = 0 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= NULL && 0 < a6 && 0 <= i8
random_ArrayAccess_138(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(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_213(o50, a6, i8, x, i12, env, static) -{6,6}> random_ArrayAccess_291(a6, 2, i8, i21', i12, env, static) :|: 0 <= a6 && 0 <= i21' && 0 <= i8 && 2 <= i12 && 0 < a6 && a6 <= static && 0 <= static && 2 <= static && 0 < o50 && -1 * static <= 2 && 0 <= o50 && i21' <= o50 && x = 2

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

Simplified expressions.

(28) Obligation:

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

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

(30) Obligation:

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

(32) Obligation:

IntTrs with 96 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_29(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_44(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_44(o1, env, static) -{1,1}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(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_138(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_195(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_195(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_235(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_235(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_242(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_291(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_291(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_512(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && -1 <= i88
main_Load_512(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 0 <= i111 && -1 <= i113
main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_GT_517(a331, i111, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && iconst_100 = 100 && 0 < a331 && 0 <= i111 && -1 <= i113
main_GT_517(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && i123 <= iconst_100 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) -{1,1}> main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) -{1,1}> main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 <= i113 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_543(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Load_543(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_552(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Store_552(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_553(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Load_553(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331
main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) -{1,1}> main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331 && 1 <= i126 && i112 + iconst_1 = i126
main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && 1 <= i126
main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) -{1,1}> main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && i113 + -1 = i127 && 1 <= i126
main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) -{1,1}> main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126
main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) -{0,0}> main_Load_512(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126 && 0 <= i126

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

obtained
main_Load_1(o1, env, static) -{59,59}> main_Load_512(o1, i8', i21', i88', 3, i5', env, static'6) :|: 0 <= o95' && -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 0 < 1 && 0 <= 1 && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 <= o1 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 0 <= o25' && 2 <= static'5 && o95' < o1 && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_3(o1, env, static) :|: 0 < o1
main_Load_3(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_5(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_15(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_17(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_17(o1, env, static) -{0,0}> langle_clinit_rangle_New_18(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_21(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_21(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_22(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_29(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_33(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_38(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_41(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_44(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_44(o1, env, static) -{1,1}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_56(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{1,1}> main_FieldAccess_59(o1, env, static) :|: 0 < o1
main_FieldAccess_59(o1, env, static) -{0,0}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_61(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_62(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_63(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_65(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_65(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_66(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(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_96(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_106(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_106(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_138(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_138(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_146(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_162(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_162(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_177(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_177(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_195(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_195(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_221(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_235(i21, a6, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2 && i21 <= o50
random_Return_235(i21, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_242(a6, i21, i8, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_242(a6, i21, i8, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_InvokeMethod_251(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= i21 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_262(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) :|: 0 <= a6 && 0 <= i21 && 2 <= i12 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_275(a6, i8, i21, iconst_2, i12, env, static) -{1,1}> random_ArrayAccess_291(a6, iconst_2, i8, i21, i12, env, static) :|: -1 * static <= iconst_2 && 0 <= i21 && 2 <= i12 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_291(a6, iconst_2, i8, i21, i33, env, static) -{0,0}> random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) :|: 3 <= i33 && 0 <= i21 && 2 <= i33 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_304(a6, iconst_2, i8, i21, i33, env, static) -{1,1}> random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && o95 < a6 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_Store_320(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_323(o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && -1 * static <= iconst_2 && 3 <= i33 && 0 <= i21 && iconst_2 <= static && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ConstantStackPush_328(iconst_2, o95, a6, i8, i21, i33, env, static) -{1,1}> random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_IntArithmetic_332(iconst_2, iconst_1, o95, a6, i8, i21, i33, env, static) -{1,1}> random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_FieldAccess_334(iconst_3, o95, a6, i8, i21, iconst_2, i33, env, static) -{1,1}> random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static') :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= static && 0 < a6 && 0 <= i8 && iconst_2 = 2 && static' <= static + iconst_3
random_Load_338(o95, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_InvokeMethod_342(o95, a6, i8, i21, iconst_3, i33, env, static) :|: 0 <= o95 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 <= i8
random_InvokeMethod_342(o191, a6, i8, i21, iconst_3, i33, env, static) -{0,0}> random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 < a6 && 0 < o191 && 0 <= i8 && 0 <= o191
random_InvokeMethod_345(o191, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) :|: i88 <= o191 && 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 < o191 && 0 <= i8
random_Return_350(i88, a6, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Store_355(a6, i88, i8, i21, iconst_3, i33, env, static) -{1,1}> main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8
main_Load_359(a6, i8, i21, i88, iconst_3, i33, env, static) -{0,0}> main_Load_512(a6, i8, i21, i88, iconst_3, i33, env, static) :|: 3 <= i33 && 0 <= i21 && iconst_3 = 3 && 0 <= i88 && 0 < a6 && 0 <= i8 && -1 <= i88

obtained
main_Load_512(a331, i111, i112, i113, 3, i33, env, static) -{16,16}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100
by chaining
main_Load_512(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 0 <= i111 && -1 <= i113
main_ConstantStackPush_515(a331, i111, i112, i113, iconst_3, i33, env, static) -{1,1}> main_GT_517(a331, i111, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && iconst_100 = 100 && 0 < a331 && 0 <= i111 && -1 <= i113
main_GT_517(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{0,0}> main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_520(a331, i123, iconst_100, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && i123 <= iconst_100 && iconst_3 = 3 && 0 <= i123 && iconst_100 = 100 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_527(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_532(a331, i112, i123, i113, iconst_3, i33, env, static) -{1,1}> main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_535(a331, i112, i113, i123, iconst_3, i33, env, static) -{0,0}> main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 < a331 && -1 <= i113 && i123 <= 100
main_GT_537(a331, i112, i113, i123, iconst_3, i33, env, static) -{1,1}> main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && i112 <= i113 && 0 <= i123 && 0 <= i113 && 0 < a331 && -1 <= i113 && i123 <= 100
main_Load_540(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Store_542(a331, i123, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_543(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i123 && 0 <= i113 && 0 < a331 && i123 <= 100
main_Load_543(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Store_552(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Store_552(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Load_553(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_Load_553(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331
main_ConstantStackPush_554(a331, i112, i113, iconst_3, i33, env, static) -{1,1}> main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331
main_IntArithmetic_555(a331, i112, iconst_1, i113, iconst_3, i33, env, static) -{1,1}> main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && iconst_1 = 1 && 0 < a331 && 1 <= i126 && i112 + iconst_1 = i126
main_Store_556(a331, i126, i112, i113, iconst_3, i33, env, static) -{1,1}> main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) :|: 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && 1 <= i126
main_Inc_557(a331, i112, i126, i113, iconst_3, i33, env, static) -{1,1}> main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 <= i113 && 0 < a331 && i113 + -1 = i127 && 1 <= i126
main_JMP_559(a331, i112, i126, i127, iconst_3, i33, env, static) -{1,1}> main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126
main_Load_565(a331, i112, i126, i127, iconst_3, i33, env, static) -{0,0}> main_Load_512(a331, i112, i126, i127, iconst_3, i33, env, static) :|: -1 <= i127 && 0 <= i112 && 3 <= i33 && iconst_3 = 3 && 0 < a331 && 1 <= i126 && 0 <= i126

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{59,59}> main_Load_512(o1, i8', i21', i88', 3, i5', env, static'6) :|: 0 <= o95' && -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 0 < 1 && 0 <= 1 && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 <= o1 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 0 <= o25' && 2 <= static'5 && o95' < o1 && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_512(a331, i111, i112, i113, 3, i33, env, static) -{16,16}> main_Load_512(a331, i112, i126', i127', 3, i33, env, static) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100

(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_512(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_512(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{59,59}> main_Load_512(o1, i8', i21', i88', i5') :|: 0 <= o95' && -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 0 < 1 && 0 <= 1 && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 <= o1 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 0 <= o25' && 2 <= static'5 && o95' < o1 && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'
main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i126', i127', i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100

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

Moved arithmethic from constraints to rhss.

main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i126', i127', i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100
was transformed to
main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i112 + 1, i113 + -1, i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i112 + 1, i113 + -1, i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100
main_Load_1(o1, static) -{59,59}> main_Load_512(o1, i8', i21', i88', i5') :|: 0 <= o95' && -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 0 < 1 && 0 <= 1 && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 <= o1 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 0 <= o25' && 2 <= static'5 && o95' < o1 && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'

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

Simplified expressions.

main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i112 + 1, i113 + -1, i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 + -1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100
was transformed to
main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i112 + 1, i113 - 1, i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 - 1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100

main_Load_1(o1, static) -{59,59}> main_Load_512(o1, i8', i21', i88', i5') :|: 0 <= o95' && -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 0 < 1 && 0 <= 1 && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 <= o1 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 <= static'3 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 0 <= o25' && 2 <= static'5 && o95' < o1 && 0 <= 2 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'
was transformed to
main_Load_1(o1, static) -{59,59}> main_Load_512(o1, i8', i21', i88', i5') :|: -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 2 <= static'5 && o95' < o1 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_512(a331, i111, i112, i113, i33) -{16,16}> main_Load_512(a331, i112, i112 + 1, i113 - 1, i33) :|: i112 + 1 = i126' && 0 <= i126' && 0 <= i111 && 1 <= i126' && i113 - 1 = i127' && 0 < a331 && 0 <= i112 && 0 <= i113 && 3 <= i33 && -1 <= i127' && -1 <= i113 && i112 <= i113 && i111 <= 100
main_Load_1(o1, static) -{59,59}> main_Load_512(o1, i8', i21', i88', i5') :|: -1 <= i88' && static'6 <= static'5 + 3 && 0 <= i8' && static'4 <= static'3 + 1 && 0 < o1 && i21' <= o25' && 0 <= i88' && 3 <= i5' && 0 <= i21' && 2 <= i5' && 0 <= static'5 && o25' < o1 && o1 <= static'5 && 0 <= i5' && 1 <= static'4 && 0 < o25' && -1 * static'4 <= 1 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && 0 <= static'4 && o1 <= static'4 && o8' < o1 && 0 <= static'2 && -1 * static'5 <= 2 && i88' <= o95' && 2 <= static'5 && o95' < o1 && static'1 <= static''' + 1 && 0 < o95' && static'5 <= static'4 + 2 && 1 <= i5'

(41) koat Proof (EQUIVALENT transformation)

YES(?, 16*ar_0 + 59)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 16) main_Load_512(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, ar_2, ar_2 + 1, ar_3 - 1, ar_4)) [ ar_2 + 1 = i126' /\ 0 <= i126' /\ 0 <= ar_1 /\ 1 <= i126' /\ ar_3 - 1 = i127' /\ 0 < ar_0 /\ 0 <= ar_2 /\ 0 <= ar_3 /\ 3 <= ar_4 /\ -1 <= i127' /\ -1 <= ar_3 /\ ar_2 <= ar_3 /\ ar_1 <= 100 ]
(Comp: ?, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, i8', i21', i88', i5')) [ -1 <= i88' /\ static'6 <= static'5 + 3 /\ 0 <= i8' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 <= i88' /\ 3 <= i5' /\ 0 <= i21' /\ 2 <= i5' /\ 0 <= static'5 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i5' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ -static'5 <= 2 /\ i88' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 16) main_Load_512(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, ar_2, ar_2 + 1, ar_3 - 1, ar_4)) [ ar_2 + 1 = i126' /\ 0 <= i126' /\ 0 <= ar_1 /\ 1 <= i126' /\ ar_3 - 1 = i127' /\ 0 < ar_0 /\ 0 <= ar_2 /\ 0 <= ar_3 /\ 3 <= ar_4 /\ -1 <= i127' /\ -1 <= ar_3 /\ ar_2 <= ar_3 /\ ar_1 <= 100 ]
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, i8', i21', i88', i5')) [ -1 <= i88' /\ static'6 <= static'5 + 3 /\ 0 <= i8' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 <= i88' /\ 3 <= i5' /\ 0 <= i21' /\ 2 <= i5' /\ 0 <= static'5 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i5' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ -static'5 <= 2 /\ i88' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_512) = -V_3 + V_4 + 1
Pol(main_Load_1) = V_1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_512(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, ar_2, ar_2 + 1, ar_3 - 1, ar_4)) [ ar_2 + 1 = i126' /\ 0 <= i126' /\ 0 <= ar_1 /\ 1 <= i126' /\ ar_3 - 1 = i127' /\ 0 < ar_0 /\ 0 <= ar_2 /\ 0 <= ar_3 /\ 3 <= ar_4 /\ -1 <= i127' /\ -1 <= ar_3 /\ ar_2 <= ar_3 /\ ar_1 <= 100 ]
strictly and produces the following problem:
3: T:
(Comp: ar_0, Cost: 16) main_Load_512(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, ar_2, ar_2 + 1, ar_3 - 1, ar_4)) [ ar_2 + 1 = i126' /\ 0 <= i126' /\ 0 <= ar_1 /\ 1 <= i126' /\ ar_3 - 1 = i127' /\ 0 < ar_0 /\ 0 <= ar_2 /\ 0 <= ar_3 /\ 3 <= ar_4 /\ -1 <= i127' /\ -1 <= ar_3 /\ ar_2 <= ar_3 /\ ar_1 <= 100 ]
(Comp: 1, Cost: 59) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_512(ar_0, i8', i21', i88', i5')) [ -1 <= i88' /\ static'6 <= static'5 + 3 /\ 0 <= i8' /\ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ i21' <= o25' /\ 0 <= i88' /\ 3 <= i5' /\ 0 <= i21' /\ 2 <= i5' /\ 0 <= static'5 /\ o25' < ar_0 /\ ar_0 <= static'5 /\ 0 <= i5' /\ 1 <= static'4 /\ 0 < o25' /\ -static'4 <= 1 /\ 0 <= static'3 /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ 0 <= static'4 /\ ar_0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ -static'5 <= 2 /\ i88' <= o95' /\ 2 <= static'5 /\ o95' < ar_0 /\ static'1 <= static''' + 1 /\ 0 < o95' /\ static'5 <= static'4 + 2 /\ 1 <= i5' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 16*ar_0 + 59

Time: 0.260 sec (SMT: 0.204 sec)

(0) Obligation:

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

(2) Obligation:

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

(4) Obligation:

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

(6) Obligation:

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

(8) Obligation:

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

(10) Obligation:

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

(12) Obligation:

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

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

(41) koat Proof (EQUIVALENT transformation)

(42) BOUNDS(CONSTANT, 59 + 16 * |args|)