time complexity proof of /tmp/tmpRG7XUH/LogBuiltIn.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 87 + 9 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 342 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)), 0 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 108 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 40 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 RemoveDivModProof (CONCRETE UPPER BOUND(ID), 0 ms)

        ↳14 WeightedIntTrs

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

        ↳16 WeightedIntTrs

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

        ↳18 WeightedIntTrs

    ↳19 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 138 ms)

    ↳20 WeightedIntTrs

        ↳21 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 50 ms)

        ↳22 WeightedIntTrs

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

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

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

        ↳28 WeightedIntTrs

        ↳29 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 13 ms)

        ↳30 WeightedIntTrs

↳31 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)), 5 ms)

↳32 JBCComplexityEdges

    ↳33 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 80 ms)

    ↳34 WeightedIntTrs

    ↳35 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 43 ms)

    ↳36 WeightedIntTrs

    ↳37 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 34 ms)

    ↳38 WeightedIntTrs

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

    ↳40 WeightedIntTrs

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

    ↳42 WeightedIntTrs

    ↳43 koat Proof (⇔, 94 ms)

    ↳44 BOUNDS(CONSTANT, 37 + 9 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class LogBuiltIn{
  public static int log(int x) {

    int res = 0;

    while (x > 1) {

      x = x/2;
      res++;

    }

    return res;

  }


  public static void main(String[] args) {
    Random.args = args;
    int x = Random.random();
    log(x);
  }
}



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:
LogBuiltIn.main([Ljava/lang/String;)V: Graph of 118 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) transformation)

Extracted set of 67 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 67 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 67 jbc graph edges to a weighted ITS with 67 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 67 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_21(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_21(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_63(o1, env, static) :|: 0 < o1
main_FieldAccess_63(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_75(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_75(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_76(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_76(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_77(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_81(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_81(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_104(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_104(a6, i7, iconst_1, i6, env, static) -{1,1}> main_Load_107(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Load_107(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) -{1,1}> log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) -{1,1}> log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_240(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_240(i21, i22, a17, iconst_1, i6, env, static) -{0,0}> log_Load_302(i21, i22, a17, iconst_1, i6, env, static) :|: i22 <= 2 && 1 <= i6 && 0 <= i21 && iconst_1 = 1 && 0 <= i22 && i22 <= 1 && 0 < a17
log_Load_302(i41, i42, a31, iconst_1, i6, env, static) -{0,0}> log_Load_347(i41, i42, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i42 <= 2 && 0 <= i41 && iconst_1 = 1 && 0 < a31 && 0 <= i42
log_Load_347(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_LE_352(i57, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && 1 <= i72 && iconst_2 = 2 && i69 / iconst_2 = i72
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

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

obtained
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_21(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_21(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_63(o1, env, static) :|: 0 < o1
main_FieldAccess_63(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_75(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_75(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_76(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_76(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_77(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_77(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_81(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_81(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1
by chaining
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_104(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_104(a6, i7, iconst_1, i6, env, static) -{1,1}> main_Load_107(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Load_107(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) -{1,1}> log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) -{1,1}> log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_240(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_240(i21, i22, a17, iconst_1, i6, env, static) -{0,0}> log_Load_302(i21, i22, a17, iconst_1, i6, env, static) :|: i22 <= 2 && 1 <= i6 && 0 <= i21 && iconst_1 = 1 && 0 <= i22 && i22 <= 1 && 0 < a17
log_Load_302(i41, i42, a31, iconst_1, i6, env, static) -{0,0}> log_Load_347(i41, i42, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i42 <= 2 && 0 <= i41 && iconst_1 = 1 && 0 < a31 && 0 <= i42

obtained
log_Load_347(i57, i58, a39, 1, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57
by chaining
log_Load_347(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_LE_352(i57, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58

obtained
log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69
by chaining
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && 1 <= i72 && iconst_2 = 2 && i69 / iconst_2 = i72
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

(8) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_77(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1
log_Load_347(i57, i58, a39, 1, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69

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

Moved arithmethic from lhss to constraints.

log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69
was transformed to
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1

log_Load_347(i57, i58, a39, 1, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57
was transformed to
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1

random_ArrayAccess_77(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

(10) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

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

Linearized lhss.

random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
was transformed to
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

(12) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

(13) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

Removed div and mod.

log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 / 2 = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
was transformed to
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, x, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

(14) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, x, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1

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

Moved arithmethic from constraints to rhss.

log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
was transformed to
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
was transformed to
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, 1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1

random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
was transformed to
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6

random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
was transformed to
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0

log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, x, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
was transformed to
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, 1, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

(16) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, 1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, 1, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1

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

Simplified expressions.

main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
was transformed to
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3

log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: i69 - 2 * div < 2 && i69 - 2 * div + 2 > 0 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
was transformed to
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: i69 + -2 * div < 2 && 0 < i69 + -2 * div + 2 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1
was transformed to
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 < o11 && x = 1

(18) Obligation:

IntTrs with 9 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 < o11 && x = 1
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
log_LE_352'(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: i69 + -2 * div < 2 && 0 < i69 + -2 * div + 2 && div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_LE_352'(i69, 1, i58, a39, i6, env, static) :|: div = i72' && 0 <= i73' && 1 < i69 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, 1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1

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

Transformed 67 jbc graph edges to a weighted ITS with 67 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.

(20) Obligation:

IntTrs with 67 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_21(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_21(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_63(o1, env, static) :|: 0 < o1
main_FieldAccess_63(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_75(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_75(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_76(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_76(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_77(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_81(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_81(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_104(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_104(a6, i7, iconst_1, i6, env, static) -{1,1}> main_Load_107(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Load_107(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) -{1,1}> log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) -{1,1}> log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_240(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_240(i21, i22, a17, iconst_1, i6, env, static) -{0,0}> log_Load_302(i21, i22, a17, iconst_1, i6, env, static) :|: i22 <= 2 && 1 <= i6 && 0 <= i21 && iconst_1 = 1 && 0 <= i22 && i22 <= 1 && 0 < a17
log_Load_302(i41, i42, a31, iconst_1, i6, env, static) -{0,0}> log_Load_347(i41, i42, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i42 <= 2 && 0 <= i41 && iconst_1 = 1 && 0 < a31 && 0 <= i42
log_Load_347(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_LE_352(i57, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && i72 < i69 && 1 <= i72 && iconst_2 = 2
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

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

obtained
log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69
by chaining
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && i72 < i69 && 1 <= i72 && iconst_2 = 2
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

(22) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_77(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_95(o11, a6, 1, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1
log_Load_347(i57, i58, a39, 1, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69

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

Moved arithmethic from lhss to constraints.

log_LE_352(i69, 1, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69
was transformed to
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

(24) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

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

Linearized lhss.

(26) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1

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

Moved arithmethic from constraints to rhss.

log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
was transformed to
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1

(28) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, 1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 <= 0 && 0 <= 2 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 <= o11 && 0 < o11 && 0 <= 1 && x = 1

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

Simplified expressions.

(30) Obligation:

IntTrs with 8 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_95(o11, a6, x, i6, env, static) -{7,7}> log_Load_347(i7', 0, a6, 1, i6, env, static) :|: i7' <= o11 && 0 < a6 && 1 <= i6 && 0 <= i7' && 0 < o11 && x = 1
log_Load_347(i57, i58, a39, x, i6, env, static) -{2,2}> log_LE_352(i57, 1, i58, a39, i6, env, static) :|: 0 <= i58 && 0 < a39 && 1 <= i6 && 0 <= i57 && x = 1
random_InvokeMethod_95(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_97(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_77(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_79(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
main_Load_2(o1, env, static) -{23,23}> random_ArrayAccess_77(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
random_ArrayAccess_77(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_95(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
log_LE_352(i69, x, i58, a39, i6, env, static) -{7,7}> log_Load_347(i72', i58 + 1, a39, 1, i6, env, static) :|: 1 < i69 && 0 <= i73' && 0 <= i58 && 0 <= i72' && i72' < i69 && 1 <= i72' && i58 + 1 = i73' && 0 < a39 && 1 <= i6 && 2 <= i69 && 1 <= i73' && 0 <= i69 && x = 1
log_LE_352(i68, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_353(i68, 1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i68 && i68 <= 1

(31) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) transformation)

Extracted set of 64 edges for the analysis of TIME complexity. Dropped leaves.

(32) Obligation:

Set of 64 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

Transformed 64 jbc graph edges to a weighted ITS with 64 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.

(34) Obligation:

IntTrs with 64 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_21(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_21(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_63(o1, env, static) :|: 0 < o1
main_FieldAccess_63(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_75(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_75(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_76(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_76(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_77(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_81(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_81(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_104(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_104(a6, i7, iconst_1, i6, env, static) -{1,1}> main_Load_107(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Load_107(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) -{1,1}> log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) -{1,1}> log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_240(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_240(i21, i22, a17, iconst_1, i6, env, static) -{0,0}> log_Load_302(i21, i22, a17, iconst_1, i6, env, static) :|: i22 <= 2 && 1 <= i6 && 0 <= i21 && iconst_1 = 1 && 0 <= i22 && i22 <= 1 && 0 < a17
log_Load_302(i41, i42, a31, iconst_1, i6, env, static) -{0,0}> log_Load_347(i41, i42, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i42 <= 2 && 0 <= i41 && iconst_1 = 1 && 0 < a31 && 0 <= i42
log_Load_347(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_LE_352(i57, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && i72 < i69 && 1 <= i72 && iconst_2 = 2
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

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

obtained
main_Load_2(o1, env, static) -{37,37}> log_Load_347(i7', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 <= 0 && 0 < 1 && 0 < o1 && 0 <= i5' && 0 <= o8' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= 2 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && 0 <= 1 && static'1 <= static''' + 1
by chaining
main_Load_2(o1, env, static) -{0,0}> main_Load_4(o1, env, static) :|: 0 < o1
main_Load_4(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_6(o1, env, static) :|: 0 < o1
langle_clinit_rangle_ConstantStackPush_6(o1, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_13(iconst_0, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) :|: a2 = 2 && iconst_0 = 0 && 0 < a2 && 0 < o1
langle_clinit_rangle_FieldAccess_16(a2, o1, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_18(o1, env, static') :|: 0 <= a2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2 && 0 < o1
langle_clinit_rangle_New_18(o1, env, static) -{0,0}> langle_clinit_rangle_New_19(o1, env, static) :|: 0 < o1
langle_clinit_rangle_New_19(o1, env, static) -{0,0}> langle_clinit_rangle_New_21(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_21(o1, env, static) -{1,1}> langle_clinit_rangle_Duplicate_23(o4, o1, env, static) :|: o4 = 1 && 0 < o4 && 0 < o1
langle_clinit_rangle_Duplicate_23(o4, o1, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_ConstantStackPush_25(o4, o1, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_26(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_27(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_27(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_28(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_28(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_30(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_30(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_32(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_32(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_34(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_34(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_37(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_37(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_39(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_48(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_48(o1, env, static) -{1,1}> main_Load_54(o1, env, static) :|: 0 < o1
main_Load_54(o1, env, static) -{0,0}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_57(o1, env, static) :|: 0 <= static && 0 < o1
main_Load_57(o1, env, static) -{0,0}> main_Load_58(o1, env, static) :|: 0 < o1
main_Load_58(o1, env, static) -{0,0}> main_Load_59(o1, env, static) :|: 0 < o1
main_Load_59(o1, env, static) -{1,1}> main_FieldAccess_60(o1, env, static) :|: 0 < o1
main_FieldAccess_60(o1, env, static) -{0,0}> main_FieldAccess_63(o1, env, static) :|: 0 < o1
main_FieldAccess_63(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_64(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_65(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_67(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_68(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_68(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_69(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_70(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_70(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_75(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_75(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_76(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_76(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_77(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_77(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_81(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_81(a6, iconst_0, i6, env, static) -{1,1}> random_Store_83(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_83(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_85(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_88(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_90(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_93(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_93(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_95(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_95(o11, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) :|: 0 <= o11 && 1 <= i6 && iconst_1 = 1 && 0 < o11 && 0 < a6
random_InvokeMethod_96(o11, a6, iconst_1, i6, env, static) -{1,1}> random_Return_101(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i7 <= o11 && iconst_1 = 1 && 0 < o11 && 0 < a6 && 0 <= i7
random_Return_101(i7, a6, iconst_1, i6, env, static) -{1,1}> main_Store_104(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Store_104(a6, i7, iconst_1, i6, env, static) -{1,1}> main_Load_107(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_Load_107(a6, i7, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
main_InvokeMethod_111(a6, i7, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i7
log_ConstantStackPush_115(i7, a6, iconst_1, i6, env, static) -{1,1}> log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Store_120(iconst_0, i7, a6, iconst_1, i6, env, static) -{1,1}> log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_127(i7, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_240(i7, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i7
log_Load_240(i21, i22, a17, iconst_1, i6, env, static) -{0,0}> log_Load_302(i21, i22, a17, iconst_1, i6, env, static) :|: i22 <= 2 && 1 <= i6 && 0 <= i21 && iconst_1 = 1 && 0 <= i22 && i22 <= 1 && 0 < a17
log_Load_302(i41, i42, a31, iconst_1, i6, env, static) -{0,0}> log_Load_347(i41, i42, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i42 <= 2 && 0 <= i41 && iconst_1 = 1 && 0 < a31 && 0 <= i42

obtained
log_Load_347(i57, i58, a39, 1, i6, env, static) -{9,9}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'
by chaining
log_Load_347(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_ConstantStackPush_348(i57, i58, a39, iconst_1, i6, env, static) -{1,1}> log_LE_352(i57, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && 0 <= i57 && iconst_1 = 1 && 0 < a39 && 0 <= i58
log_LE_352(i69, iconst_1, i58, a39, i6, env, static) -{0,0}> log_LE_354(i69, iconst_1, i58, a39, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 0 <= i69 && 2 <= i69
log_LE_354(i69, iconst_1, i58, a39, i6, env, static) -{1,1}> log_Load_369(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i69 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_Load_369(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69
log_ConstantStackPush_373(i69, i58, a39, iconst_1, i6, env, static) -{1,1}> log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && iconst_2 = 2
log_IntArithmetic_375(i69, iconst_2, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Store_378(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 2 <= i69 && i72 < i69 && 1 <= i72 && iconst_2 = 2
log_Store_378(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a39 && 0 <= i58 && 1 <= i72
log_Inc_380(i72, i58, a39, iconst_1, i6, env, static) -{1,1}> log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && i58 + 1 = i73 && 0 <= i58 && 1 <= i72
log_JMP_381(i72, i73, a39, iconst_1, i6, env, static) -{1,1}> log_Load_382(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72
log_Load_382(i72, i73, a39, iconst_1, i6, env, static) -{0,0}> log_Load_347(i72, i73, a39, iconst_1, i6, env, static) :|: 1 <= i6 && 1 <= i73 && iconst_1 = 1 && 0 < a39 && 1 <= i72 && 0 <= i72 && 0 <= i73

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, env, static) -{37,37}> log_Load_347(i7', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 <= 0 && 0 < 1 && 0 < o1 && 0 <= i5' && 0 <= o8' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= 2 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && 0 <= 1 && static'1 <= static''' + 1
log_Load_347(i57, i58, a39, 1, i6, env, static) -{9,9}> log_Load_347(i72', i73', a39, 1, i6, env, static) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'

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

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

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
log_Load_347(x1, x2, x3, x4, x5, x6, x7) → log_Load_347(x1, x2, x3, x5)

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{37,37}> log_Load_347(i7', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 0 && 0 < 1 && 0 < o1 && 0 <= i5' && 0 <= o8' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= 2 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && 0 <= 1 && static'1 <= static''' + 1
log_Load_347(i57, i58, a39, i6) -{9,9}> log_Load_347(i72', i73', a39, i6) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'

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

Moved arithmethic from constraints to rhss.

log_Load_347(i57, i58, a39, i6) -{9,9}> log_Load_347(i72', i73', a39, i6) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'
was transformed to
log_Load_347(i57, i58, a39, i6) -{9,9}> log_Load_347(i72', i58 + 1, a39, i6) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o1, static) -{37,37}> log_Load_347(i7', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 0 && 0 < 1 && 0 < o1 && 0 <= i5' && 0 <= o8' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= 2 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && 0 <= 1 && static'1 <= static''' + 1
log_Load_347(i57, i58, a39, i6) -{9,9}> log_Load_347(i72', i58 + 1, a39, i6) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'

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

Simplified expressions.

main_Load_2(o1, static) -{37,37}> log_Load_347(i7', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 <= 0 && 0 < 1 && 0 < o1 && 0 <= i5' && 0 <= o8' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= 2 && 0 < 2 && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && 0 <= o1 && static'2 <= static'1 + 0 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && 0 <= 1 && static'1 <= static''' + 1
was transformed to
main_Load_2(o1, static) -{37,37}> log_Load_347(i7', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 <= i5' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && static'1 <= static''' + 1

(42) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
log_Load_347(i57, i58, a39, i6) -{9,9}> log_Load_347(i72', i58 + 1, a39, i6) :|: 0 <= i57 && 0 <= i73' && 1 < i57 && 0 <= i72' && 0 <= i58 && 1 <= i72' && i72' < i57 && 0 < a39 && i58 + 1 = i73' && 2 <= i57 && 1 <= i6 && 1 <= i73'
main_Load_2(o1, static) -{37,37}> log_Load_347(i7', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 <= i5' && 0 <= i7' && 0 <= static'3 && 1 <= i5' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i7' <= o8' && i5' < o1 && o8' < o1 && 0 < o8' && 0 <= static'2 && static'1 <= static''' + 1

(43) koat Proof (EQUIVALENT transformation)

YES(?, 9*ar_0 + 37)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 9) log_Load_347(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i72', ar_1 + 1, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= i73' /\ 1 < ar_0 /\ 0 <= i72' /\ 0 <= ar_1 /\ 1 <= i72' /\ i72' < ar_0 /\ 0 < ar_2 /\ ar_1 + 1 = i73' /\ 2 <= ar_0 /\ 1 <= ar_3 /\ 1 <= i73' ]
(Comp: ?, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i7', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= i7' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 < o8' /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 9) log_Load_347(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i72', ar_1 + 1, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= i73' /\ 1 < ar_0 /\ 0 <= i72' /\ 0 <= ar_1 /\ 1 <= i72' /\ i72' < ar_0 /\ 0 < ar_2 /\ ar_1 + 1 = i73' /\ 2 <= ar_0 /\ 1 <= ar_3 /\ 1 <= i73' ]
(Comp: 1, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i7', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= i7' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 < o8' /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(log_Load_347) = V_1 + 1
Pol(main_Load_2) = V_1
Pol(koat_start) = V_1
orients all transitions weakly and the transition
log_Load_347(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i72', ar_1 + 1, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= i73' /\ 1 < ar_0 /\ 0 <= i72' /\ 0 <= ar_1 /\ 1 <= i72' /\ i72' < ar_0 /\ 0 < ar_2 /\ ar_1 + 1 = i73' /\ 2 <= ar_0 /\ 1 <= ar_3 /\ 1 <= i73' ]
strictly and produces the following problem:
3: T:
(Comp: ar_0, Cost: 9) log_Load_347(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i72', ar_1 + 1, ar_2, ar_3)) [ 0 <= ar_0 /\ 0 <= i73' /\ 1 < ar_0 /\ 0 <= i72' /\ 0 <= ar_1 /\ 1 <= i72' /\ i72' < ar_0 /\ 0 < ar_2 /\ ar_1 + 1 = i73' /\ 2 <= ar_0 /\ 1 <= ar_3 /\ 1 <= i73' ]
(Comp: 1, Cost: 37) main_Load_2(ar_0, ar_1, ar_2, ar_3) -> Com_1(log_Load_347(i7', 0, ar_0, i5')) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= i7' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i7' <= o8' /\ i5' < ar_0 /\ o8' < ar_0 /\ 0 < o8' /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 9*ar_0 + 37

Time: 0.216 sec (SMT: 0.207 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) 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) RemoveDivModProof (CONCRETE UPPER BOUND(ID) transformation)

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

(31) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)) transformation)

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

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

(42) Obligation:

(43) koat Proof (EQUIVALENT transformation)

(44) BOUNDS(CONSTANT, 37 + 9 * |args|)