time complexity proof of /tmp/tmpEKptBU/MinusBuiltIn.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 140 + 6 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 404 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(92)), 10 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 181 ms)

    ↳6 WeightedIntTrs

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

        ↳8 WeightedIntTrs

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

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

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

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 136 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 64 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

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

        ↳24 WeightedIntTrs

        ↳25 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)), 10 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 158 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 26 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 10 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 (⇔, 143 ms)

    ↳42 BOUNDS(CONSTANT, 48 + 6 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class MinusBuiltIn{

  public static void main(String[] args) {
    Random.args = args;
    int x = Random.random();
    int y = Random.random();
    int res = 0;



    while (x > y) {

      y++;
      res++;

    }
  }

}



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:
MinusBuiltIn.main([Ljava/lang/String;)V: Graph of 173 nodes with 1 SCC.

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

Extracted set of 79 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 79 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 79 jbc graph edges to a weighted ITS with 79 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 79 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_106(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_106(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_110(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_110(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_118(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_118(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_123(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_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_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_180(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_180(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_192(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_192(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_207(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_207(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_230(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_230(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_236(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_236(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_307(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_307(a69, i25, i26, i27, iconst_2, i12, env, static) -{0,0}> main_Load_374(a69, i25, i26, i27, iconst_2, i12, env, static) :|: 0 <= i25 && 2 <= i12 && 0 < a69 && 0 <= i27 && 0 <= i26 && i27 <= 1 && iconst_2 = 2 && i27 <= 2
main_Load_374(a106, i40, i41, i42, iconst_2, i12, env, static) -{0,0}> main_Load_417(a106, i40, i41, i42, iconst_2, i12, env, static) :|: i42 <= 2 && 0 <= i41 && 2 <= i12 && 0 < a106 && 0 <= i40 && 0 <= i42 && iconst_2 = 2
main_Load_417(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 1 <= i54 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 0 <= i55 && 2 <= i12 && i55 + 1 = i63 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) -{1,1}> main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 2 <= i12 && i56 + 1 = i64 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) -{1,1}> main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) -{0,0}> main_Load_417(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && 0 <= i54 && 0 <= i64 && iconst_2 = 2 && 0 < a129 && 0 <= i63

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

obtained
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_106(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_106(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_110(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6

obtained
random_InvokeMethod_110(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
by chaining
random_InvokeMethod_110(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_118(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_118(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_123(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_180(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_180(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_192(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_192(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_207(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_207(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50
by chaining
random_InvokeMethod_207(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_230(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_230(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_236(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_236(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_307(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_307(a69, i25, i26, i27, iconst_2, i12, env, static) -{0,0}> main_Load_374(a69, i25, i26, i27, iconst_2, i12, env, static) :|: 0 <= i25 && 2 <= i12 && 0 < a69 && 0 <= i27 && 0 <= i26 && i27 <= 1 && iconst_2 = 2 && i27 <= 2
main_Load_374(a106, i40, i41, i42, iconst_2, i12, env, static) -{0,0}> main_Load_417(a106, i40, i41, i42, iconst_2, i12, env, static) :|: i42 <= 2 && 0 <= i41 && 2 <= i12 && 0 < a106 && 0 <= i40 && 0 <= i42 && iconst_2 = 2

obtained
main_Load_417(a129, i54, i55, i56, 2, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55
by chaining
main_Load_417(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129

obtained
main_LE_420(a129, i54, i55, i56, 2, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55
by chaining
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 1 <= i54 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 0 <= i55 && 2 <= i12 && i55 + 1 = i63 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) -{1,1}> main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 2 <= i12 && i56 + 1 = i64 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) -{1,1}> main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) -{0,0}> main_Load_417(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && 0 <= i54 && 0 <= i64 && iconst_2 = 2 && 0 < a129 && 0 <= i63

(8) Obligation:

IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_110(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(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_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_207(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50
main_Load_417(a129, i54, i55, i56, 2, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
main_LE_420(a129, i54, i55, i56, 2, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

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

Moved arithmethic from lhss to constraints.

main_LE_420(a129, i54, i55, i56, 2, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55
was transformed to
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2

random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

random_InvokeMethod_207(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50
was transformed to
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2

random_InvokeMethod_110(o13, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13
was transformed to
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1

main_Load_417(a129, i54, i55, i56, 2, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55
was transformed to
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

(10) Obligation:

IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Linearized lhss.

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

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

(12) Obligation:

IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

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

main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
was transformed to
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, 2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129

main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
was transformed to
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i55 + 1, i56 + 1, 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2

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

random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(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_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(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_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, 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_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, 2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i55 + 1, i56 + 1, 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

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

random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
was transformed to
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1

random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
was transformed to
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 < o50 && 0 < a6 && 0 <= i20' && i20' <= o50 && x = 2

(16) Obligation:

IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i55 + 1, i56 + 1, 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 < o50 && 0 < a6 && 0 <= i20' && i20' <= o50 && x = 2
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, 2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && x = 1

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

Transformed 79 jbc graph edges to a weighted ITS with 79 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_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Linearized lhss.

(24) Obligation:

IntTrs with 12 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(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_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_207(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, 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_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_428(a129, i54, i55, i56, 2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && i54 <= i55 && iconst_2 = 2 && 0 < a129
random_InvokeMethod_110(o13, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o13 && 0 < a6 && a6 <= static && 0 <= static && 1 <= i6 && 1 <= static && -1 * static <= 1 && 0 < o13 && 0 <= o13 && x = 1
main_LE_420(a129, i54, i55, i56, x, i12, env, static) -{4,4}> main_Load_417(a129, i54, i55 + 1, i56 + 1, 2, i12, env, static) :|: i55 < i54 && 0 <= i63' && 0 <= i54 && 0 < a129 && i55 + 1 = i63' && 1 <= i63' && 0 <= i64' && 1 <= i64' && 2 <= i12 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_417(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 0 <= 0 && 0 < o50 && 0 < a6 && 0 <= i20' && 0 <= 1 && 0 <= 2 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_72(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_110(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_113(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_70(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_110(o7', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 0 <= o7' && 0 <= static && 1 <= i6 && o7' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
main_Load_417(a129, i54, i55, i56, x, i12, env, static) -{2,2}> main_LE_420(a129, i54, i55, i56, 2, i12, env, static) :|: 0 < a129 && 0 <= i54 && 2 <= i12 && 0 <= i56 && 0 <= i55 && x = 2
random_InvokeMethod_207(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_216(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 74 edges for the analysis of TIME complexity. Dropped leaves.

(30) Obligation:

Set of 74 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 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.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 74 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_106(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_106(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_110(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_110(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_118(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_118(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_123(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_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_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_180(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_180(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_192(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_192(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_207(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_207(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_230(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_230(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_236(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_236(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_307(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_307(a69, i25, i26, i27, iconst_2, i12, env, static) -{0,0}> main_Load_374(a69, i25, i26, i27, iconst_2, i12, env, static) :|: 0 <= i25 && 2 <= i12 && 0 < a69 && 0 <= i27 && 0 <= i26 && i27 <= 1 && iconst_2 = 2 && i27 <= 2
main_Load_374(a106, i40, i41, i42, iconst_2, i12, env, static) -{0,0}> main_Load_417(a106, i40, i41, i42, iconst_2, i12, env, static) :|: i42 <= 2 && 0 <= i41 && 2 <= i12 && 0 < a106 && 0 <= i40 && 0 <= i42 && iconst_2 = 2
main_Load_417(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 1 <= i54 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 0 <= i55 && 2 <= i12 && i55 + 1 = i63 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) -{1,1}> main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 2 <= i12 && i56 + 1 = i64 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) -{1,1}> main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) -{0,0}> main_Load_417(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && 0 <= i54 && 0 <= i64 && iconst_2 = 2 && 0 < a129 && 0 <= i63

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

obtained
main_Load_1(o2, env, static) -{48,48}> main_Load_417(o2, i8', i20', 0, 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= 0 && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 0 <= o25' && 2 <= i4' && static'2 <= static'1 + 0 && 0 <= 2 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 <= o2 && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && 0 < 2 && o25' < o2 && 0 <= 1 && 0 <= o7' && i20' <= o25' && static'4 <= static'3 + 1
by chaining
main_Load_1(o2, env, static) -{0,0}> main_Load_3(o2, env, static) :|: 0 < o2
main_Load_3(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_9(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_10(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_16(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_16(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_18(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_18(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_25(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_27(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_29(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_29(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_31(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_31(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_33(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_33(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_37(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_38(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_38(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_39(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{0,0}> main_Load_49(o2, env, static) :|: 0 < o2
main_Load_49(o2, env, static) -{0,0}> main_Load_52(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_52(o2, env, static) -{0,0}> main_Load_54(o2, env, static) :|: 0 < o2
main_Load_54(o2, env, static) -{0,0}> main_Load_55(o2, env, static) :|: 0 < o2
main_Load_55(o2, env, static) -{1,1}> main_FieldAccess_58(o2, env, static) :|: 0 < o2
main_FieldAccess_58(o2, env, static) -{0,0}> main_FieldAccess_59(o2, env, static) :|: 0 < o2
main_FieldAccess_59(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_61(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_62(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_63(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_64(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_64(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_65(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_65(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_74(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && o7 < a6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_Store_78(o7, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_80(o7, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) :|: 1 <= i6 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_85(iconst_0, o7, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o7, a6, i6, env, static) -{1,1}> random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 < a6
random_FieldAccess_92(iconst_1, o7, a6, iconst_0, i6, env, static) -{1,1}> random_Load_106(o7, a6, iconst_1, i6, env, static') :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 <= o7 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_106(o7, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_110(o7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 <= o7 && 0 < a6
random_InvokeMethod_110(o13, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) :|: 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 <= o13 && 0 < a6
random_InvokeMethod_112(o13, a6, iconst_1, i6, env, static) -{1,1}> random_Return_118(i8, a6, iconst_1, i6, env, static) :|: i8 <= o13 && 0 < o13 && 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_118(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_123(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_123(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_127(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_132(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_141(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_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_164(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_164(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_173(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_180(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_180(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_192(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_192(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_207(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_207(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_215(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_230(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_230(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_236(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_236(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_240(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_244(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_249(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_307(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_307(a69, i25, i26, i27, iconst_2, i12, env, static) -{0,0}> main_Load_374(a69, i25, i26, i27, iconst_2, i12, env, static) :|: 0 <= i25 && 2 <= i12 && 0 < a69 && 0 <= i27 && 0 <= i26 && i27 <= 1 && iconst_2 = 2 && i27 <= 2
main_Load_374(a106, i40, i41, i42, iconst_2, i12, env, static) -{0,0}> main_Load_417(a106, i40, i41, i42, iconst_2, i12, env, static) :|: i42 <= 2 && 0 <= i41 && 2 <= i12 && 0 < a106 && 0 <= i40 && 0 <= i42 && iconst_2 = 2

obtained
main_Load_417(a129, i54, i55, i56, 2, i12, env, static) -{6,6}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55
by chaining
main_Load_417(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_419(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && 0 < a129
main_LE_420(a129, i54, i55, i56, iconst_2, i12, env, static) -{0,0}> main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_LE_429(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 0 <= i55 && 2 <= i12 && 1 <= i54 && 0 <= i54 && iconst_2 = 2 && i55 < i54 && 0 < a129
main_Inc_431(a129, i54, i55, i56, iconst_2, i12, env, static) -{1,1}> main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 0 <= i55 && 2 <= i12 && i55 + 1 = i63 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Inc_435(a129, i54, i63, i56, iconst_2, i12, env, static) -{1,1}> main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 0 <= i56 && 1 <= i63 && 2 <= i12 && i56 + 1 = i64 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_JMP_436(a129, i54, i63, i64, iconst_2, i12, env, static) -{1,1}> main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && iconst_2 = 2 && 0 < a129
main_Load_440(a129, i54, i63, i64, iconst_2, i12, env, static) -{0,0}> main_Load_417(a129, i54, i63, i64, iconst_2, i12, env, static) :|: 1 <= i63 && 2 <= i12 && 1 <= i64 && 1 <= i54 && 0 <= i54 && 0 <= i64 && iconst_2 = 2 && 0 < a129 && 0 <= i63

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, env, static) -{48,48}> main_Load_417(o2, i8', i20', 0, 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= 0 && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 0 <= o25' && 2 <= i4' && static'2 <= static'1 + 0 && 0 <= 2 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 <= o2 && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && 0 < 2 && o25' < o2 && 0 <= 1 && 0 <= o7' && i20' <= o25' && static'4 <= static'3 + 1
main_Load_417(a129, i54, i55, i56, 2, i12, env, static) -{6,6}> main_Load_417(a129, i54, i63', i64', 2, i12, env, static) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

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

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

main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
main_Load_417(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_417(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{48,48}> main_Load_417(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= 0 && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 0 <= o25' && 2 <= i4' && static'2 <= static'1 + 0 && 0 <= 2 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 <= o2 && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && 0 < 2 && o25' < o2 && 0 <= 1 && 0 <= o7' && i20' <= o25' && static'4 <= static'3 + 1
main_Load_417(a129, i54, i55, i56, i12) -{6,6}> main_Load_417(a129, i54, i63', i64', i12) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

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

Moved arithmethic from constraints to rhss.

main_Load_417(a129, i54, i55, i56, i12) -{6,6}> main_Load_417(a129, i54, i63', i64', i12) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55
was transformed to
main_Load_417(a129, i54, i55, i56, i12) -{6,6}> main_Load_417(a129, i54, i55 + 1, i56 + 1, i12) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{48,48}> main_Load_417(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= 0 && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 0 <= o25' && 2 <= i4' && static'2 <= static'1 + 0 && 0 <= 2 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 <= o2 && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && 0 < 2 && o25' < o2 && 0 <= 1 && 0 <= o7' && i20' <= o25' && static'4 <= static'3 + 1
main_Load_417(a129, i54, i55, i56, i12) -{6,6}> main_Load_417(a129, i54, i55 + 1, i56 + 1, i12) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

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

Simplified expressions.

main_Load_1(o2, static) -{48,48}> main_Load_417(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && 0 <= 0 && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 0 <= o25' && 2 <= i4' && static'2 <= static'1 + 0 && 0 <= 2 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 <= o2 && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && 0 < 2 && o25' < o2 && 0 <= 1 && 0 <= o7' && i20' <= o25' && static'4 <= static'3 + 1
was transformed to
main_Load_1(o2, static) -{48,48}> main_Load_417(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 2 <= i4' && static'2 <= static'1 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && o25' < o2 && i20' <= o25' && static'4 <= static'3 + 1

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o2, static) -{48,48}> main_Load_417(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 1 <= i4' && i4' < o2 && 0 <= i8' && static'3 <= static'2 + o2 && 0 < o2 && 2 <= i4' && static'2 <= static'1 && 0 <= i20' && o2 <= static'4 && 0 <= static'4 && o7' < o2 && i8' <= o7' && 0 < o7' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= i4' && 0 < o25' && 1 <= static'4 && o25' < o2 && i20' <= o25' && static'4 <= static'3 + 1
main_Load_417(a129, i54, i55, i56, i12) -{6,6}> main_Load_417(a129, i54, i55 + 1, i56 + 1, i12) :|: 0 <= i54 && 0 <= i63' && i55 + 1 = i63' && 0 < a129 && 2 <= i12 && 1 <= i63' && 0 <= i64' && 1 <= i64' && i55 < i54 && 1 <= i54 && i56 + 1 = i64' && 0 <= i56 && 0 <= i55

(41) koat Proof (EQUIVALENT transformation)

YES(?, 6*ar_0 + 48)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 48) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i8' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ 2 <= i4' /\ static'2 <= static'1 /\ 0 <= i20' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o7' < ar_0 /\ i8' <= o7' /\ 0 < o7' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 <= i4' /\ 0 < o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 6) main_Load_417(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 0 <= i63' /\ ar_2 + 1 = i63' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= i63' /\ 0 <= i64' /\ 1 <= i64' /\ ar_2 < ar_1 /\ 1 <= ar_1 /\ ar_3 + 1 = i64' /\ 0 <= ar_3 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 48) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i8' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ 2 <= i4' /\ static'2 <= static'1 /\ 0 <= i20' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o7' < ar_0 /\ i8' <= o7' /\ 0 < o7' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 <= i4' /\ 0 < o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 6) main_Load_417(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 0 <= i63' /\ ar_2 + 1 = i63' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= i63' /\ 0 <= i64' /\ 1 <= i64' /\ ar_2 < ar_1 /\ 1 <= ar_1 /\ ar_3 + 1 = i64' /\ 0 <= ar_3 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_1) = V_1
Pol(main_Load_417) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_417(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 0 <= i63' /\ ar_2 + 1 = i63' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= i63' /\ 0 <= i64' /\ 1 <= i64' /\ ar_2 < ar_1 /\ 1 <= ar_1 /\ ar_3 + 1 = i64' /\ 0 <= ar_3 /\ 0 <= ar_2 ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 48) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i8' /\ static'3 <= static'2 + ar_0 /\ 0 < ar_0 /\ 2 <= i4' /\ static'2 <= static'1 /\ 0 <= i20' /\ ar_0 <= static'4 /\ 0 <= static'4 /\ o7' < ar_0 /\ i8' <= o7' /\ 0 < o7' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 <= i4' /\ 0 < o25' /\ 1 <= static'4 /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ar_0, Cost: 6) main_Load_417(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_417(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ 0 <= ar_1 /\ 0 <= i63' /\ ar_2 + 1 = i63' /\ 0 < ar_0 /\ 2 <= ar_4 /\ 1 <= i63' /\ 0 <= i64' /\ 1 <= i64' /\ ar_2 < ar_1 /\ 1 <= ar_1 /\ ar_3 + 1 = i64' /\ 0 <= ar_3 /\ 0 <= ar_2 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 6*ar_0 + 48

Time: 0.270 sec (SMT: 0.236 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, 48 + 6 * |args|)