time complexity proof of /tmp/tmpcjjKwi/PastaA8.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 138 + 6 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 310 ms)

↳2 JBCTerminationGraph

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

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 105 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 16 ms)

        ↳8 WeightedIntTrs

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

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

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

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 122 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 0 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

        ↳23 LinearizedLhssProof (BOTH CONCRETE BOUNDS(ID, ID), 2 ms)

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

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

        ↳28 WeightedIntTrs

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

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 124 ms)

    ↳32 WeightedIntTrs

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

    ↳34 WeightedIntTrs

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

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

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

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 106 ms)

    ↳42 BOUNDS(CONSTANT, 46 + 6 * |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 PastaA8 {
    public static void main(String[] args) {
        Random.args = args;
        int x = Random.random();
        int y = Random.random();

        while (x > y) {
            x++;
            y += 2;
        }
    }
}


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:
PastaA8.main([Ljava/lang/String;)V: Graph of 168 nodes with 1 SCC.

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

Extracted set of 74 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 74 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 74 jbc graph edges to a weighted ITS with 74 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 74 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_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_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(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_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(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_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_41(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_41(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(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_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_96(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_140(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_140(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_140(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_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_167(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(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_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_185(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_185(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_203(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_203(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2 && i8 + 1 = i22
main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) -{1,1}> main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && i20 + 2 = i23 && iconst_2 = 2
main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i22, i23, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 <= i22 && 0 < a6 && iconst_2 = 2 && 0 <= i23

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_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_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(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_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(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_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_41(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_41(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(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_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
by chaining
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_96(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5

obtained
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_140(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5

obtained
random_ArrayAccess_140(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(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_140(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_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_167(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(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_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_185(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_185(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_203(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_203(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
by chaining
random_InvokeMethod_203(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_233(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
by chaining
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_LE_242(a6, i8, i20, 2, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20
by chaining
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2 && i8 + 1 = i22
main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) -{1,1}> main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && i20 + 2 = i23 && iconst_2 = 2
main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i22, i23, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 <= i22 && 0 < a6 && iconst_2 = 2 && 0 <= i23

(8) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
random_ArrayAccess_140(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_140(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(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_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_203(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
main_Load_233(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, 2, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20

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

Moved arithmethic from lhss to constraints.

main_LE_242(a6, i8, i20, 2, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2

random_InvokeMethod_100(o12, a6, 1, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1

random_ArrayAccess_140(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(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_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

main_Load_233(a6, i8, i20, 2, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12
was transformed to
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2

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

random_InvokeMethod_203(o50, a6, i8, 2, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12
was transformed to
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

(10) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

random_ArrayAccess_140(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
was transformed to
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

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

(12) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2

random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
was transformed to
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1

main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
was transformed to
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i8 + 1, i20 + 2, 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2

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

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

random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(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_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

(14) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i8 + 1, i20 + 2, 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

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

random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
was transformed to
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1

(16) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i8 + 1, i20 + 2, 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && x = 1
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2

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

Transformed 74 jbc graph edges to a weighted ITS with 74 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:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

(24) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_70(o1, 0, i4', env, static'3) :|: static'1 <= static''' + 1 && i4' < o1 && 0 <= 2 && 0 < o1 && 0 <= static'2 && 0 <= i4' && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_246(a6, i8, i20, 2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i8 <= i20 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, x, i12, env, static) -{2,2}> main_LE_242(a6, i8, i20, 2, i12, env, static) :|: 0 <= i8 && 0 < a6 && 0 <= i20 && 2 <= i12 && x = 2
random_ArrayAccess_140(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_ArrayAccess_140(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_203(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
main_LE_242(a6, i8, i20, x, i12, env, static) -{4,4}> main_Load_233(a6, i8 + 1, i20 + 2, 2, i12, env, static) :|: 0 <= i8 && 0 <= i23' && i20 + 2 = i23' && i20 < i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 1 <= i8 && 2 <= i23' && 2 <= i12 && i8 + 1 = i22' && 0 <= i20 && x = 2
random_ArrayAccess_70(a6, x, i5, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i5, env, static'4) :|: 0 <= i5 && 1 <= i5 && 0 <= static && 0 < a6 && 0 <= o8' && static'4 <= static + 1 && o8' < a6 && -1 * static <= 0 && x = 0
random_InvokeMethod_100(NULL, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i5, env, static) :|: NULL = 0 && iconst_1 = 1 && 0 <= NULL && 0 < a6 && 1 <= i5
random_InvokeMethod_203(o50, a6, i8, x, i12, env, static) -{3,3}> main_Load_233(a6, i8, i20', 2, i12, env, static) :|: i20' <= o50 && 0 <= o50 && 0 <= i8 && 0 < a6 && 0 < o50 && 0 <= i20' && 2 <= i12 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_100(o12, a6, x, i5, env, static) -{6,6}> random_ArrayAccess_140(a6, 1, i8', i5, env, static) :|: 0 <= a6 && 1 <= i5 && a6 <= static && 0 <= i8' && i8' <= o12 && 0 < a6 && 0 <= static && 0 < o12 && -1 * static <= 1 && 1 <= static && 0 <= o12 && x = 1
random_InvokeMethod_203(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_212(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

(28) Obligation:

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

Extracted set of 69 edges for the analysis of TIME complexity. Dropped leaves.

(30) Obligation:

Set of 69 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 69 jbc graph edges to a weighted ITS with 69 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 69 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_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_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(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_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(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_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_41(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_41(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(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_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_96(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_140(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_140(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_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_167(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(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_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_185(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_185(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_203(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_203(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2 && i8 + 1 = i22
main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) -{1,1}> main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && i20 + 2 = i23 && iconst_2 = 2
main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i22, i23, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 <= i22 && 0 < a6 && iconst_2 = 2 && 0 <= i23

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

obtained
main_Load_2(o1, env, static) -{46,46}> main_Load_233(o1, i8', i20', 2, i4', env, static'5) :|: 0 <= 1 && 0 < 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 < 2 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o8' && 0 <= o1 && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
by chaining
main_Load_2(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_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(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_23(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(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_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_31(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(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_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_41(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_41(o1, env, static) -{1,1}> main_Load_46(o1, env, static) :|: 0 < o1
main_Load_46(o1, env, static) -{0,0}> main_Load_48(o1, env, static) :|: 0 < o1
main_Load_48(o1, env, static) -{0,0}> main_Load_50(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_50(o1, env, static) -{0,0}> main_Load_52(o1, env, static) :|: 0 < o1
main_Load_52(o1, env, static) -{0,0}> main_Load_53(o1, env, static) :|: 0 < o1
main_Load_53(o1, env, static) -{1,1}> main_FieldAccess_56(o1, env, static) :|: 0 < o1
main_FieldAccess_56(o1, env, static) -{0,0}> main_FieldAccess_58(o1, env, static) :|: 0 < o1
main_FieldAccess_58(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_59(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_61(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_61(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_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_64(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_65(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_66(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_67(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i5, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: iconst_0 = 0 && 0 < a6 && 0 <= i5 && 1 <= i5
random_ArrayAccess_73(a6, iconst_0, i5, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_Store_78(o8, a6, iconst_0, i5, env, static) -{1,1}> random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_79(o8, a6, iconst_0, i5, env, static) -{1,1}> random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) :|: 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static && 1 <= i5
random_ConstantStackPush_84(iconst_0, o8, a6, i5, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i5, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 1 <= i5
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i5, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i5, env, static') :|: 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1 && 1 <= i5
random_Load_96(o8, a6, iconst_1, i5, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i5, env, static) :|: 0 <= o8 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_100(o12, a6, iconst_1, i5, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) :|: 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 1 <= i5
random_InvokeMethod_102(o12, a6, iconst_1, i5, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i5, env, static) :|: i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_Return_107(i8, a6, iconst_1, i5, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_Store_113(a6, i8, iconst_1, i5, env, static) -{1,1}> main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
main_InvokeMethod_117(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) :|: iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_121(a6, i8, iconst_1, i5, env, static) -{1,1}> random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) :|: 0 <= a6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_FieldAccess_130(a6, i8, iconst_1, i5, env, static) -{1,1}> random_ArrayAccess_140(a6, iconst_1, i8, i5, env, static) :|: -1 * static <= iconst_1 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 1 <= i5
random_ArrayAccess_140(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_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_167(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_167(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_173(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_173(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_185(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_185(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_203(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_203(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_210(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_224(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_224(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_229(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_229(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_Load_233(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2

obtained
main_Load_233(a6, i8, i20, 2, i12, env, static) -{6,6}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8
by chaining
main_Load_233(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_237(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_237(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_LE_242(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_242(a6, i8, i20, iconst_2, i12, env, static) -{0,0}> main_LE_248(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_LE_248(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && i20 < i8 && 1 <= i8 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Inc_256(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 1 <= i8 && 0 < a6 && iconst_2 = 2 && i8 + 1 = i22
main_Inc_265(a6, i22, i20, iconst_2, i12, env, static) -{1,1}> main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && i20 + 2 = i23 && iconst_2 = 2
main_JMP_273(a6, i22, i23, iconst_2, i12, env, static) -{1,1}> main_Load_288(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 < a6 && iconst_2 = 2
main_Load_288(a6, i22, i23, iconst_2, i12, env, static) -{0,0}> main_Load_233(a6, i22, i23, iconst_2, i12, env, static) :|: 2 <= i22 && 2 <= i12 && 2 <= i23 && 0 <= i22 && 0 < a6 && iconst_2 = 2 && 0 <= i23

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{46,46}> main_Load_233(o1, i8', i20', 2, i4', env, static'5) :|: 0 <= 1 && 0 < 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 < 2 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o8' && 0 <= o1 && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i8, i20, 2, i12, env, static) -{6,6}> main_Load_233(a6, i22', i23', 2, i12, env, static) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8

(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_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_233(x1, x2, x3, x4, x5, x6, x7) → main_Load_233(x1, x2, x3, x5)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{46,46}> main_Load_233(o1, i8', i20', i4') :|: 0 <= 1 && 0 < 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 < 2 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o8' && 0 <= o1 && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i8, i20, i12) -{6,6}> main_Load_233(a6, i22', i23', i12) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8

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

Moved arithmethic from constraints to rhss.

main_Load_233(a6, i8, i20, i12) -{6,6}> main_Load_233(a6, i22', i23', i12) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8
was transformed to
main_Load_233(a6, i8, i20, i12) -{6,6}> main_Load_233(a6, i8 + 1, i20 + 2, i12) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{46,46}> main_Load_233(o1, i8', i20', i4') :|: 0 <= 1 && 0 < 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 < 2 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o8' && 0 <= o1 && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i8, i20, i12) -{6,6}> main_Load_233(a6, i8 + 1, i20 + 2, i12) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8

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

Simplified expressions.

main_Load_2(o1, static) -{46,46}> main_Load_233(o1, i8', i20', i4') :|: 0 <= 1 && 0 < 1 && 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 1 <= static'4 && 0 < o25' && 0 <= o8' && -1 * static'4 <= 1 && 0 < 2 && 0 <= static'3 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && -1 * static'3 <= 0 && static'2 <= static'1 + 0 && 0 < o8' && 0 <= o1 && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && 0 <= 2 && 0 <= o25' && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
was transformed to
main_Load_2(o1, static) -{46,46}> main_Load_233(o1, i8', i20', i4') :|: 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 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 && -1 * static'3 <= 0 && static'2 <= static'1 && 0 < o8' && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{46,46}> main_Load_233(o1, i8', i20', i4') :|: 0 <= i8' && i20' <= o25' && 0 < o1 && static'4 <= static'3 + 1 && 0 <= i20' && 2 <= i4' && 0 <= i4' && o25' < o1 && 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 && -1 * static'3 <= 0 && static'2 <= static'1 && 0 < o8' && i8' <= o8' && o1 <= static'4 && 0 <= static'4 && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1 && i4' < o1 && 1 <= i4' && static'5 <= static'4 + 2
main_Load_233(a6, i8, i20, i12) -{6,6}> main_Load_233(a6, i8 + 1, i20 + 2, i12) :|: i20 < i8 && 0 <= i23' && i20 + 2 = i23' && 0 <= i8 && 0 < a6 && 2 <= i22' && 0 <= i22' && 2 <= i12 && 2 <= i23' && 0 <= i20 && i8 + 1 = i22' && 1 <= i8

(41) koat Proof (EQUIVALENT transformation)

YES(?, 6*ar_0 + 46)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i8', i20', i4')) [ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ static'4 <= static'3 + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ o25' < ar_0 /\ 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'3 <= 0 /\ static'2 <= static'1 /\ 0 < o8' /\ i8' <= o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 6) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, ar_2 + 2, ar_3)) [ ar_2 < ar_1 /\ 0 <= i23' /\ ar_2 + 2 = i23' /\ 0 <= ar_1 /\ 0 < ar_0 /\ 2 <= i22' /\ 0 <= i22' /\ 2 <= ar_3 /\ 2 <= i23' /\ 0 <= ar_2 /\ ar_1 + 1 = i22' /\ 1 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i8', i20', i4')) [ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ static'4 <= static'3 + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ o25' < ar_0 /\ 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'3 <= 0 /\ static'2 <= static'1 /\ 0 < o8' /\ i8' <= o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ?, Cost: 6) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, ar_2 + 2, ar_3)) [ ar_2 < ar_1 /\ 0 <= i23' /\ ar_2 + 2 = i23' /\ 0 <= ar_1 /\ 0 < ar_0 /\ 2 <= i22' /\ 0 <= i22' /\ 2 <= ar_3 /\ 2 <= i23' /\ 0 <= ar_2 /\ ar_1 + 1 = i22' /\ 1 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_2) = V_1
Pol(main_Load_233) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, ar_2 + 2, ar_3)) [ ar_2 < ar_1 /\ 0 <= i23' /\ ar_2 + 2 = i23' /\ 0 <= ar_1 /\ 0 < ar_0 /\ 2 <= i22' /\ 0 <= i22' /\ 2 <= ar_3 /\ 2 <= i23' /\ 0 <= ar_2 /\ ar_1 + 1 = i22' /\ 1 <= ar_1 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 46) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, i8', i20', i4')) [ 0 <= i8' /\ i20' <= o25' /\ 0 < ar_0 /\ static'4 <= static'3 + 1 /\ 0 <= i20' /\ 2 <= i4' /\ 0 <= i4' /\ o25' < ar_0 /\ 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'3 <= 0 /\ static'2 <= static'1 /\ 0 < o8' /\ i8' <= o8' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 /\ i4' < ar_0 /\ 1 <= i4' /\ static'5 <= static'4 + 2 ]
(Comp: ar_0, Cost: 6) main_Load_233(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_233(ar_0, ar_1 + 1, ar_2 + 2, ar_3)) [ ar_2 < ar_1 /\ 0 <= i23' /\ ar_2 + 2 = i23' /\ 0 <= ar_1 /\ 0 < ar_0 /\ 2 <= i22' /\ 0 <= i22' /\ 2 <= ar_3 /\ 2 <= i23' /\ 0 <= ar_2 /\ ar_1 + 1 = i22' /\ 1 <= ar_1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 6*ar_0 + 46

Time: 0.277 sec (SMT: 0.251 sec)

(0) Obligation:

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

(2) Obligation:

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

(4) Obligation:

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

(6) Obligation:

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

(8) Obligation:

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

(10) Obligation:

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

(12) Obligation:

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

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

(37) 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, 46 + 6 * |args|)