time complexity proof of /tmp/tmpAUoash/Log.jar

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 87 + 198 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 499 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)), 17 ms)

↳4 JBCComplexityEdges

    ↳5 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 148 ms)

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 32 ms)

        ↳8 WeightedIntTrs

        ↳9 MovedArithmeticToConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID), 5 ms)

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

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

        ↳14 WeightedIntTrs

        ↳15 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 14 ms)

        ↳16 WeightedIntTrs

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

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 69 ms)

        ↳20 WeightedIntTrs

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

        ↳22 WeightedIntTrs

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

        ↳24 WeightedIntTrs

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

        ↳26 WeightedIntTrs

        ↳27 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 21 ms)

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(50)), 24 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 167 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 59 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 18 ms)

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

    ↳39 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 8 ms)

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 183 ms)

    ↳42 BOUNDS(CONSTANT, 37 + 198 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class Log{
  public static int half(int x) {

    int res = 0;

    while (x > 1) {

      x = x-2;
      res++;

    }

    return res;

  }


  public static int log(int x) {

    int res = 0;

    while (x > 1) {

      x = half(x);
      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:
Log.main([Ljava/lang/String;)V: Graph of 136 nodes with 1 SCC.

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

Extracted set of 86 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 86 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 86 jbc graph edges to a weighted ITS with 86 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 86 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{0,0}> main_Load_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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(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_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(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_27(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_27(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_33(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_47(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_47(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_49(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_49(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 < o1
main_Load_56(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_61(o1, env, static) :|: 0 < o1
main_FieldAccess_61(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_67(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_67(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_107(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_117(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_305(i8, 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 <= i8
log_Load_305(i32, i33, a31, iconst_1, i6, env, static) -{0,0}> log_Load_398(i32, i33, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i33 <= 2 && iconst_1 = 1 && 0 < a31 && i33 <= 1 && 0 <= i32 && 0 <= i33
log_Load_398(i59, i60, a47, iconst_1, i6, env, static) -{0,0}> log_Load_504(i59, i60, a47, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i59 && iconst_1 = 1 && 0 <= i60 && i60 <= 2 && 0 < a47
log_Load_504(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_LE_513(i84, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
log_LE_513(i96, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_516(i96, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i96 && 0 <= i85 && 2 <= i96
log_LE_516(i96, iconst_1, i85, a63, i6, env, static) -{1,1}> log_Load_529(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i96 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_Load_529(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) -{0,0}> half_Load_557(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && 0 < a63 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i96 && 0 <= i85 && 2 <= i96
half_Load_557(i99, i100, i85, a71, iconst_1, i6, env, static) -{0,0}> half_Load_592(i99, i100, i85, a71, iconst_1, i6, env, static) :|: 0 < a71 && 1 <= i6 && i100 <= 2 && iconst_1 = 1 && 0 <= i100 && i100 <= 1 && 0 <= i99 && 0 <= i85
half_Load_592(i111, i112, i85, a81, iconst_1, i6, env, static) -{0,0}> half_Load_637(i111, i112, i85, a81, iconst_1, i6, env, static) :|: 0 <= i112 && 1 <= i6 && 0 < a81 && iconst_1 = 1 && i112 <= 2 && 0 <= i111 && 0 <= i85
half_Load_637(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127
half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_LE_642(i127, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127
half_LE_642(i132, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_LE_642(i133, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i133 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_654(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && i132 <= iconst_1 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) :|: iconst_1 < i133 && 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_Load_654(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Return_665(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_Return_665(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Store_667(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
log_Store_667(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i133 - iconst_2 = i134 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && i85 + 1 = i135 && 0 <= i128 && 1 <= i135
half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) -{1,1}> log_Load_678(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i128 && 1 <= i135
half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i128 + 1 = i138 && 0 <= i85 && 0 <= i128
log_Load_678(i128, i135, a91, iconst_1, i6, env, static) -{0,0}> log_Load_504(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i135 && 0 <= i128 && 1 <= i135
half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85
half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) -{0,0}> half_Load_637(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i138

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

obtained
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
by chaining
main_Load_1(o1, env, static) -{0,0}> main_Load_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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(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_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(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_27(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_27(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_33(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_47(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_47(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_49(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_49(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 < o1
main_Load_56(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_61(o1, env, static) :|: 0 < o1
main_FieldAccess_61(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_67(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_67(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5

obtained
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
by chaining
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_107(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_117(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_305(i8, 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 <= i8
log_Load_305(i32, i33, a31, iconst_1, i6, env, static) -{0,0}> log_Load_398(i32, i33, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i33 <= 2 && iconst_1 = 1 && 0 < a31 && i33 <= 1 && 0 <= i32 && 0 <= i33
log_Load_398(i59, i60, a47, iconst_1, i6, env, static) -{0,0}> log_Load_504(i59, i60, a47, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i59 && iconst_1 = 1 && 0 <= i60 && i60 <= 2 && 0 < a47

obtained
log_Load_504(i84, i85, a63, 1, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63
by chaining
log_Load_504(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_LE_513(i84, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84

obtained
log_LE_513(i96, 1, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1
by chaining
log_LE_513(i96, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_516(i96, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i96 && 0 <= i85 && 2 <= i96
log_LE_516(i96, iconst_1, i85, a63, i6, env, static) -{1,1}> log_Load_529(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i96 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_Load_529(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) -{0,0}> half_Load_557(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && 0 < a63 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i96 && 0 <= i85 && 2 <= i96
half_Load_557(i99, i100, i85, a71, iconst_1, i6, env, static) -{0,0}> half_Load_592(i99, i100, i85, a71, iconst_1, i6, env, static) :|: 0 < a71 && 1 <= i6 && i100 <= 2 && iconst_1 = 1 && 0 <= i100 && i100 <= 1 && 0 <= i99 && 0 <= i85
half_Load_592(i111, i112, i85, a81, iconst_1, i6, env, static) -{0,0}> half_Load_637(i111, i112, i85, a81, iconst_1, i6, env, static) :|: 0 <= i112 && 1 <= i6 && 0 < a81 && iconst_1 = 1 && i112 <= 2 && 0 <= i111 && 0 <= i85

obtained
half_Load_637(i127, i128, i85, a91, 1, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
by chaining
half_Load_637(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127
half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_LE_642(i127, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127

obtained
half_LE_642(i133, 1, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
by chaining
half_LE_642(i133, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i133 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) :|: iconst_1 < i133 && 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i133 - iconst_2 = i134 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i128 + 1 = i138 && 0 <= i85 && 0 <= i128
half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85
half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) -{0,0}> half_Load_637(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i138

obtained
half_LE_642(i132, 1, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91
by chaining
half_LE_642(i132, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_654(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && i132 <= iconst_1 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_Load_654(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Return_665(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_Return_665(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Store_667(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
log_Store_667(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && i85 + 1 = i135 && 0 <= i128 && 1 <= i135
log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) -{1,1}> log_Load_678(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i128 && 1 <= i135
log_Load_678(i128, i135, a91, iconst_1, i6, env, static) -{0,0}> log_Load_504(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i135 && 0 <= i128 && 1 <= i135

(8) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1
log_Load_504(i84, i85, a63, 1, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
log_LE_513(i96, 1, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1
half_Load_637(i127, i128, i85, a91, 1, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
half_LE_642(i133, 1, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
half_LE_642(i132, 1, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91

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

Moved arithmethic from lhss to constraints.

half_LE_642(i132, 1, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91
was transformed to
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1

half_LE_642(i133, 1, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
was transformed to
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1

log_Load_504(i84, i85, a63, 1, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63
was transformed to
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1

log_LE_513(i96, 1, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1
was transformed to
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1

random_ArrayAccess_73(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
was transformed to
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0

half_Load_637(i127, i128, i85, a91, 1, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
was transformed to
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1

(10) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1
random_ArrayAccess_73(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85

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

Linearized lhss.

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

(12) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1

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

Moved arithmethic from constraints to rhss.

half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1
was transformed to
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i85 + 1, a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1

half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
was transformed to
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1

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

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

log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
was transformed to
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, 1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85

(14) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i85 + 1, a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, 1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1

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

Simplified expressions.

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 1 <= i6 && 0 <= i8' && 0 < o12 && x = 1

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

log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1
was transformed to
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 1 <= i6 && 0 < a63 && x = 1

(16) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, 1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 1 <= i6 && 0 < a63 && x = 1
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 <= static'3
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 1 <= i6 && 0 <= i8' && 0 < o12 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i85 + 1, a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1

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

Transformed 86 jbc graph edges to a weighted ITS with 86 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.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

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

Linearized lhss.

(24) Obligation:

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 11 rules
Start term: main_Load_1(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{7,7}> log_Load_504(i8', 0, a6, 1, i6, env, static) :|: i8' <= o12 && 0 < a6 && 0 <= 2 && 0 <= o12 && 0 <= 0 && 1 <= i6 && 0 <= i8' && 0 < o12 && 0 <= 1 && x = 1
half_LE_642(i132, x, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i85 + 1, a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91 && x = 1
log_Load_504(i84, i85, a63, x, i6, env, static) -{2,2}> log_LE_513(i84, 1, i85, a63, i6, env, static) :|: 0 <= i84 && 0 <= i85 && 1 <= i6 && 0 < a63 && x = 1
half_LE_642(i133, x, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133 && x = 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(0, a6, 1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
main_Load_1(o1, env, static) -{23,23}> random_ArrayAccess_73(o1, 0, i5', env, static'3) :|: static'1 <= static''' + 1 && 0 <= i5' && 0 <= 2 && 0 < o1 && 0 <= static'2 && i5' < o1 && static'2 <= static'1 + 0 && 0 <= o1 && o1 <= static'3 && static''' <= static + 2 && 0 <= static'1 && static'3 <= static'2 + o1 && 0 <= static && -1 * static'3 <= 0 && 0 <= static''' && 0 < 2 && 0 <= static'3 && 0 <= 1 && 0 < 1
random_ArrayAccess_73(a6, x, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1 && x = 0
random_ArrayAccess_73(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_74(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
log_LE_513(i96, x, i85, a63, i6, env, static) -{5,5}> half_Load_637(i96, 0, i85, a63, 1, i6, env, static) :|: 2 <= i96 && 0 <= i85 && 1 < i96 && 0 <= i96 && 0 <= 2 && 1 <= i6 && 0 < a63 && 0 <= 0 && 0 <= 1 && x = 1
log_LE_513(i95, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_515(i95, 1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && i95 <= 1 && iconst_1 = 1 && 0 <= i95 && 0 <= i85
half_Load_637(i127, i128, i85, a91, x, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91 && x = 1

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

Simplified expressions.

(28) Obligation:

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

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

(30) Obligation:

Set of 83 edges based on JBC Program.
Performed SCC analyses:

Used field analysis yielded the following read fields:

Considered paths: all paths from start

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

Transformed 83 jbc graph edges to a weighted ITS with 83 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Filtered fields of type java.lang.Object.
Did no encode lower bounds for putfield and astore.

(32) Obligation:

IntTrs with 83 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(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_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(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_27(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_27(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_33(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_47(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_47(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_49(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_49(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 < o1
main_Load_56(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_61(o1, env, static) :|: 0 < o1
main_FieldAccess_61(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_67(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_67(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_107(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_117(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_305(i8, 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 <= i8
log_Load_305(i32, i33, a31, iconst_1, i6, env, static) -{0,0}> log_Load_398(i32, i33, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i33 <= 2 && iconst_1 = 1 && 0 < a31 && i33 <= 1 && 0 <= i32 && 0 <= i33
log_Load_398(i59, i60, a47, iconst_1, i6, env, static) -{0,0}> log_Load_504(i59, i60, a47, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i59 && iconst_1 = 1 && 0 <= i60 && i60 <= 2 && 0 < a47
log_Load_504(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_LE_513(i84, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_LE_513(i96, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_516(i96, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i96 && 0 <= i85 && 2 <= i96
log_LE_516(i96, iconst_1, i85, a63, i6, env, static) -{1,1}> log_Load_529(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i96 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_Load_529(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) -{0,0}> half_Load_557(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && 0 < a63 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i96 && 0 <= i85 && 2 <= i96
half_Load_557(i99, i100, i85, a71, iconst_1, i6, env, static) -{0,0}> half_Load_592(i99, i100, i85, a71, iconst_1, i6, env, static) :|: 0 < a71 && 1 <= i6 && i100 <= 2 && iconst_1 = 1 && 0 <= i100 && i100 <= 1 && 0 <= i99 && 0 <= i85
half_Load_592(i111, i112, i85, a81, iconst_1, i6, env, static) -{0,0}> half_Load_637(i111, i112, i85, a81, iconst_1, i6, env, static) :|: 0 <= i112 && 1 <= i6 && 0 < a81 && iconst_1 = 1 && i112 <= 2 && 0 <= i111 && 0 <= i85
half_Load_637(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127
half_ConstantStackPush_640(i127, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_LE_642(i127, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 0 <= i127
half_LE_642(i132, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_LE_642(i133, iconst_1, i128, i85, a91, i6, env, static) -{0,0}> half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i133 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_LE_644(i132, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_654(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i132 && i132 <= iconst_1 && iconst_1 = 1 && i132 <= 1 && 0 <= i85 && 0 <= i128
half_LE_645(i133, iconst_1, i128, i85, a91, i6, env, static) -{1,1}> half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) :|: iconst_1 < i133 && 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_Load_654(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Return_665(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_Load_663(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && 2 <= i133
half_Return_665(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Store_667(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_ConstantStackPush_666(i133, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
log_Store_667(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
half_IntArithmetic_668(i133, iconst_2, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i133 - iconst_2 = i134 && 0 <= i85 && 0 <= i128 && iconst_2 = 2 && 2 <= i133
log_Inc_669(i128, i85, a91, iconst_1, i6, env, static) -{1,1}> log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i85 && i85 + 1 = i135 && 0 <= i128 && 1 <= i135
half_Store_670(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i128
log_JMP_671(i128, i135, a91, iconst_1, i6, env, static) -{1,1}> log_Load_678(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i128 && 1 <= i135
half_Inc_673(i134, i128, i85, a91, iconst_1, i6, env, static) -{1,1}> half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && i128 + 1 = i138 && 0 <= i85 && 0 <= i128
log_Load_678(i128, i135, a91, iconst_1, i6, env, static) -{0,0}> log_Load_504(i128, i135, a91, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a91 && iconst_1 = 1 && 0 <= i135 && 0 <= i128 && 1 <= i135
half_JMP_680(i134, i138, i85, a91, iconst_1, i6, env, static) -{1,1}> half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85
half_Load_683(i134, i138, i85, a91, iconst_1, i6, env, static) -{0,0}> half_Load_637(i134, i138, i85, a91, iconst_1, i6, env, static) :|: 1 <= i138 && 1 <= i6 && 0 < a91 && 0 <= i134 && iconst_1 = 1 && 0 <= i85 && 0 <= i138

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

obtained
main_Load_1(o1, env, static) -{37,37}> log_Load_504(i8', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= 2 && 0 <= i5' && 0 <= 0 && 0 <= o8' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 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 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= 1 && 0 <= static'2 && static'1 <= static''' + 1
by chaining
main_Load_1(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_14(iconst_0, o1, env, static) :|: iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ArrayCreate_14(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_20(o1, env, static) :|: 0 <= static && 0 < o1
langle_clinit_rangle_New_20(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_27(o4, NULL, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_clinit_rangle_InvokeMethod_27(o4, NULL, o1, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o1, env, static) :|: NULL = 0 && 0 < o4 && 0 < o1
langle_init_rangle_Load_28(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_31(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_31(o4, o1, env, static) -{1,1}> langle_init_rangle_Load_33(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Load_33(o4, o1, env, static) -{1,1}> langle_init_rangle_InvokeMethod_36(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_InvokeMethod_36(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_47(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_47(o4, o1, env, static) -{1,1}> langle_init_rangle_Return_49(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_init_rangle_Return_49(o4, o1, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) :|: 0 < o4 && 0 < o1
langle_clinit_rangle_FieldAccess_52(o4, o1, env, static) -{1,1}> langle_clinit_rangle_Return_53(o1, env, static') :|: 0 <= o4 && 0 < o4 && 0 <= static && 0 < o1 && static' <= static + o4
langle_clinit_rangle_Return_53(o1, env, static) -{1,1}> main_Load_55(o1, env, static) :|: 0 < o1
main_Load_55(o1, env, static) -{0,0}> main_Load_56(o1, env, static) :|: 0 < o1
main_Load_56(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_61(o1, env, static) :|: 0 < o1
main_FieldAccess_61(o1, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_ConstantStackPush_62(o1, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
langle_clinit_rangle_FieldAccess_63(iconst_0, o1, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static') :|: NULL = 0 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0 && 0 < o1
langle_clinit_rangle_Return_65(o1, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_67(o1, NULL, iconst_0, env, static) :|: NULL = 0 && iconst_0 = 0 && 0 < o1
main_FieldAccess_67(o1, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_68(o1, iconst_0, env, static') :|: static' <= static + o1 && NULL = 0 && 0 <= o1 && iconst_0 = 0 && 0 <= static && 0 < o1
main_InvokeMethod_68(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_69(o1, iconst_0, env, static) :|: iconst_0 = 0 && 0 < o1
random_FieldAccess_69(o1, iconst_0, env, static) -{1,1}> random_FieldAccess_71(o1, iconst_0, env, static) :|: 0 <= o1 && o1 <= static && iconst_0 = 0 && 0 <= static && 0 < o1
random_FieldAccess_71(o1, iconst_0, env, static) -{1,1}> random_ArrayAccess_72(o1, iconst_0, env, static) :|: -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static && 0 < o1
random_ArrayAccess_72(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i5, env, static) :|: i5 < a6 && iconst_0 = 0 && 0 < a6 && 0 <= i5
random_ArrayAccess_73(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_75(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_75(a6, iconst_0, i6, env, static) -{1,1}> random_Store_78(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && o8 < a6 && iconst_0 = 0 && 0 < a6
random_Store_78(o8, a6, iconst_0, i6, env, static) -{1,1}> random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_81(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && 0 < a6 && iconst_0 <= static
random_ConstantStackPush_86(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_89(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_91(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_96(o8, a6, iconst_1, i6, env, static') :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 <= static && 0 < a6 && static' <= static + iconst_1
random_Load_96(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_107(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && i8 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_Return_107(i8, a6, iconst_1, i6, env, static) -{1,1}> main_Store_113(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_113(a6, i8, iconst_1, i6, env, static) -{1,1}> main_Load_117(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Load_117(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_122(a6, i8, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
log_ConstantStackPush_127(i8, a6, iconst_1, i6, env, static) -{1,1}> log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Store_135(iconst_0, i8, a6, iconst_1, i6, env, static) -{1,1}> log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8
log_Load_144(i8, iconst_0, a6, iconst_1, i6, env, static) -{0,0}> log_Load_305(i8, 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 <= i8
log_Load_305(i32, i33, a31, iconst_1, i6, env, static) -{0,0}> log_Load_398(i32, i33, a31, iconst_1, i6, env, static) :|: 1 <= i6 && i33 <= 2 && iconst_1 = 1 && 0 < a31 && i33 <= 1 && 0 <= i32 && 0 <= i33
log_Load_398(i59, i60, a47, iconst_1, i6, env, static) -{0,0}> log_Load_504(i59, i60, a47, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= i59 && iconst_1 = 1 && 0 <= i60 && i60 <= 2 && 0 < a47

obtained
log_Load_504(i84, i85, a63, 1, i6, env, static) -{7,7}> half_Load_637(i84, 0, i85, a63, 1, i6, env, static) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 <= 2 && 0 < a63 && 1 <= i6 && 0 <= 0 && 0 <= 1
by chaining
log_Load_504(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_ConstantStackPush_507(i84, i85, a63, iconst_1, i6, env, static) -{1,1}> log_LE_513(i84, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 0 <= i84
log_LE_513(i96, iconst_1, i85, a63, i6, env, static) -{0,0}> log_LE_516(i96, iconst_1, i85, a63, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i96 && 0 <= i85 && 2 <= i96
log_LE_516(i96, iconst_1, i85, a63, i6, env, static) -{1,1}> log_Load_529(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 < i96 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_Load_529(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
log_InvokeMethod_539(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && 0 <= i85 && 2 <= i96
half_ConstantStackPush_543(i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Store_546(iconst_0, i96, i85, a63, iconst_1, i6, env, static) -{1,1}> half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 < a63 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i85 && 2 <= i96
half_Load_547(i96, iconst_0, i85, a63, iconst_1, i6, env, static) -{0,0}> half_Load_557(i96, iconst_0, i85, a63, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= iconst_0 && 0 < a63 && iconst_0 <= 1 && iconst_1 = 1 && iconst_0 = 0 && 0 <= i96 && 0 <= i85 && 2 <= i96
half_Load_557(i99, i100, i85, a71, iconst_1, i6, env, static) -{0,0}> half_Load_592(i99, i100, i85, a71, iconst_1, i6, env, static) :|: 0 < a71 && 1 <= i6 && i100 <= 2 && iconst_1 = 1 && 0 <= i100 && i100 <= 1 && 0 <= i99 && 0 <= i85
half_Load_592(i111, i112, i85, a81, iconst_1, i6, env, static) -{0,0}> half_Load_637(i111, i112, i85, a81, iconst_1, i6, env, static) :|: 0 <= i112 && 1 <= i6 && 0 < a81 && iconst_1 = 1 && i112 <= 2 && 0 <= i111 && 0 <= i85

(34) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, env, static) -{37,37}> log_Load_504(i8', 0, o1, 1, i5', env, static'4) :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= 2 && 0 <= i5' && 0 <= 0 && 0 <= o8' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 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 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= 1 && 0 <= static'2 && static'1 <= static''' + 1
log_Load_504(i84, i85, a63, 1, i6, env, static) -{7,7}> half_Load_637(i84, 0, i85, a63, 1, i6, env, static) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 <= 2 && 0 < a63 && 1 <= i6 && 0 <= 0 && 0 <= 1
half_Load_637(i127, i128, i85, a91, 1, i6, env, static) -{2,2}> half_LE_642(i127, 1, i128, i85, a91, i6, env, static) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
half_LE_642(i133, 1, i128, i85, a91, i6, env, static) -{7,7}> half_Load_637(i134', i138', i85, a91, 1, i6, env, static) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
half_LE_642(i132, 1, i128, i85, a91, i6, env, static) -{6,6}> log_Load_504(i128, i135', a91, 1, i6, env, static) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91

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

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

main_Load_1(x1, x2, x3) → main_Load_1(x1, x3)
log_Load_504(x1, x2, x3, x4, x5, x6, x7) → log_Load_504(x1, x2, x3, x5)
half_Load_637(x1, x2, x3, x4, x5, x6, x7, x8) → half_Load_637(x1, x2, x3, x4, x6)
half_LE_642(x1, x2, x3, x4, x5, x6, x7, x8) → half_LE_642(x1, x3, x4, x5, x6)

(36) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
main_Load_1(o1, static) -{37,37}> log_Load_504(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= 2 && 0 <= i5' && 0 <= 0 && 0 <= o8' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 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 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= 1 && 0 <= static'2 && static'1 <= static''' + 1
log_Load_504(i84, i85, a63, i6) -{7,7}> half_Load_637(i84, 0, i85, a63, i6) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 <= 2 && 0 < a63 && 1 <= i6 && 0 <= 0 && 0 <= 1
half_Load_637(i127, i128, i85, a91, i6) -{2,2}> half_LE_642(i127, i128, i85, a91, i6) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
half_LE_642(i133, i128, i85, a91, i6) -{7,7}> half_Load_637(i134', i138', i85, a91, i6) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
half_LE_642(i132, i128, i85, a91, i6) -{6,6}> log_Load_504(i128, i135', a91, i6) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91

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

Moved arithmethic from constraints to rhss.

half_LE_642(i133, i128, i85, a91, i6) -{7,7}> half_Load_637(i134', i138', i85, a91, i6) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
was transformed to
half_LE_642(i133, i128, i85, a91, i6) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, i6) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133

half_LE_642(i132, i128, i85, a91, i6) -{6,6}> log_Load_504(i128, i135', a91, i6) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91
was transformed to
half_LE_642(i132, i128, i85, a91, i6) -{6,6}> log_Load_504(i128, i85 + 1, a91, i6) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91

(38) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
log_Load_504(i84, i85, a63, i6) -{7,7}> half_Load_637(i84, 0, i85, a63, i6) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 <= 2 && 0 < a63 && 1 <= i6 && 0 <= 0 && 0 <= 1
half_Load_637(i127, i128, i85, a91, i6) -{2,2}> half_LE_642(i127, i128, i85, a91, i6) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
half_LE_642(i133, i128, i85, a91, i6) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, i6) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
main_Load_1(o1, static) -{37,37}> log_Load_504(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= 2 && 0 <= i5' && 0 <= 0 && 0 <= o8' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 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 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= 1 && 0 <= static'2 && static'1 <= static''' + 1
half_LE_642(i132, i128, i85, a91, i6) -{6,6}> log_Load_504(i128, i85 + 1, a91, i6) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91

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

Simplified expressions.

log_Load_504(i84, i85, a63, i6) -{7,7}> half_Load_637(i84, 0, i85, a63, i6) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 <= 2 && 0 < a63 && 1 <= i6 && 0 <= 0 && 0 <= 1
was transformed to
log_Load_504(i84, i85, a63, i6) -{7,7}> half_Load_637(i84, 0, i85, a63, i6) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 < a63 && 1 <= i6

main_Load_1(o1, static) -{37,37}> log_Load_504(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 < 1 && 0 <= 2 && 0 <= i5' && 0 <= 0 && 0 <= o8' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 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 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= 1 && 0 <= static'2 && static'1 <= static''' + 1
was transformed to
main_Load_1(o1, static) -{37,37}> log_Load_504(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 <= i5' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1

(40) Obligation:

IntTrs with 5 rules
Start term: main_Load_1(args, static)
Considered paths: all paths from start
Rules:
half_Load_637(i127, i128, i85, a91, i6) -{2,2}> half_LE_642(i127, i128, i85, a91, i6) :|: 0 <= i127 && 0 <= i128 && 0 <= i85 && 1 <= i6 && 0 < a91
log_Load_504(i84, i85, a63, i6) -{7,7}> half_Load_637(i84, 0, i85, a63, i6) :|: 2 <= i84 && 0 <= i85 && 1 < i84 && 0 <= i84 && 0 < a63 && 1 <= i6
half_LE_642(i132, i128, i85, a91, i6) -{6,6}> log_Load_504(i128, i85 + 1, a91, i6) :|: 0 <= i132 && 1 <= i135' && i132 <= 1 && 0 <= i128 && 0 <= i85 && 0 <= i135' && i85 + 1 = i135' && 1 <= i6 && 0 < a91
half_LE_642(i133, i128, i85, a91, i6) -{7,7}> half_Load_637(i133 - 2, i128 + 1, i85, a91, i6) :|: 0 <= i128 && 0 <= i138' && 2 <= i133 && 0 <= i85 && 1 < i133 && i128 + 1 = i138' && 0 <= i134' && 1 <= i6 && 0 < a91 && 1 <= i138' && i133 - 2 = i134' && 0 <= i133
main_Load_1(o1, static) -{37,37}> log_Load_504(i8', 0, o1, i5') :|: static'4 <= static'3 + 1 && 0 < o1 && 0 <= i5' && 0 <= static'3 && 1 <= i5' && 0 <= i8' && 0 <= static''' && 0 <= static && static'3 <= static'2 + o1 && 0 <= static'1 && static''' <= static + 2 && o1 <= static'3 && static'2 <= static'1 && -1 * static'3 <= 0 && i8' <= o8' && i5' < o1 && 0 < o8' && o8' < o1 && 0 <= static'2 && static'1 <= static''' + 1

(41) koat Proof (EQUIVALENT transformation)

YES(?, 198*ar_0 + 37)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 2) half_Load_637(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: ?, Cost: 7) log_Load_504(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0, 0, ar_1, ar_2, ar_3)) [ 2 <= ar_0 /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 /\ 0 < ar_2 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 6) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(ar_1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_0 /\ 1 <= i135' /\ ar_0 <= 1 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 0 <= i135' /\ ar_2 + 1 = i135' /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: ?, Cost: 7) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 <= ar_1 /\ 0 <= i138' /\ 2 <= ar_0 /\ 0 <= ar_2 /\ 1 < ar_0 /\ ar_1 + 1 = i138' /\ 0 <= i134' /\ 1 <= ar_4 /\ 0 < ar_3 /\ 1 <= i138' /\ ar_0 - 2 = i134' /\ 0 <= ar_0 ]
(Comp: ?, Cost: 37) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= i8' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: ?, Cost: 2) half_Load_637(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: ?, Cost: 7) log_Load_504(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0, 0, ar_1, ar_2, ar_3)) [ 2 <= ar_0 /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 /\ 0 < ar_2 /\ 1 <= ar_3 ]
(Comp: ?, Cost: 6) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(ar_1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_0 /\ 1 <= i135' /\ ar_0 <= 1 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 0 <= i135' /\ ar_2 + 1 = i135' /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: ?, Cost: 7) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 <= ar_1 /\ 0 <= i138' /\ 2 <= ar_0 /\ 0 <= ar_2 /\ 1 < ar_0 /\ ar_1 + 1 = i138' /\ 0 <= i134' /\ 1 <= ar_4 /\ 0 < ar_3 /\ 1 <= i138' /\ ar_0 - 2 = i134' /\ 0 <= ar_0 ]
(Comp: 1, Cost: 37) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= i8' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(half_Load_637) = 6*V_1 + 9*V_2 + 4
Pol(half_LE_642) = 6*V_1 + 9*V_2 + 2
Pol(log_Load_504) = 9*V_1
Pol(main_Load_1) = 9*V_1
Pol(koat_start) = 9*V_1
orients all transitions weakly and the transitions
log_Load_504(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0, 0, ar_1, ar_2, ar_3)) [ 2 <= ar_0 /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 /\ 0 < ar_2 /\ 1 <= ar_3 ]
half_Load_637(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 /\ 0 < ar_3 ]
half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(ar_1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_0 /\ 1 <= i135' /\ ar_0 <= 1 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 0 <= i135' /\ ar_2 + 1 = i135' /\ 1 <= ar_4 /\ 0 < ar_3 ]
half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 <= ar_1 /\ 0 <= i138' /\ 2 <= ar_0 /\ 0 <= ar_2 /\ 1 < ar_0 /\ ar_1 + 1 = i138' /\ 0 <= i134' /\ 1 <= ar_4 /\ 0 < ar_3 /\ 1 <= i138' /\ ar_0 - 2 = i134' /\ 0 <= ar_0 ]
strictly and produces the following problem:
3: T:
(Comp: 9*ar_0, Cost: 2) half_Load_637(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= ar_0 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: 9*ar_0, Cost: 7) log_Load_504(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0, 0, ar_1, ar_2, ar_3)) [ 2 <= ar_0 /\ 0 <= ar_1 /\ 1 < ar_0 /\ 0 <= ar_0 /\ 0 < ar_2 /\ 1 <= ar_3 ]
(Comp: 9*ar_0, Cost: 6) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(ar_1, ar_2 + 1, ar_3, ar_4, arityPad)) [ 0 <= ar_0 /\ 1 <= i135' /\ ar_0 <= 1 /\ 0 <= ar_1 /\ 0 <= ar_2 /\ 0 <= i135' /\ ar_2 + 1 = i135' /\ 1 <= ar_4 /\ 0 < ar_3 ]
(Comp: 9*ar_0, Cost: 7) half_LE_642(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(half_Load_637(ar_0 - 2, ar_1 + 1, ar_2, ar_3, ar_4)) [ 0 <= ar_1 /\ 0 <= i138' /\ 2 <= ar_0 /\ 0 <= ar_2 /\ 1 < ar_0 /\ ar_1 + 1 = i138' /\ 0 <= i134' /\ 1 <= ar_4 /\ 0 < ar_3 /\ 1 <= i138' /\ ar_0 - 2 = i134' /\ 0 <= ar_0 ]
(Comp: 1, Cost: 37) main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(log_Load_504(i8', 0, ar_0, i5', arityPad)) [ static'4 <= static'3 + 1 /\ 0 < ar_0 /\ 0 <= i5' /\ 0 <= static'3 /\ 1 <= i5' /\ 0 <= i8' /\ 0 <= static''' /\ 0 <= ar_1 /\ static'3 <= static'2 + ar_0 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ ar_0 <= static'3 /\ static'2 <= static'1 /\ -static'3 <= 0 /\ i8' <= o8' /\ i5' < ar_0 /\ 0 < o8' /\ o8' < ar_0 /\ 0 <= static'2 /\ static'1 <= static''' + 1 ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_1(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 198*ar_0 + 37

Time: 0.272 sec (SMT: 0.241 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) MovedArithmeticFromConstraintsProof (BOTH CONCRETE BOUNDS(ID, ID) transformation)

(14) Obligation:

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

(16) Obligation:

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

(18) Obligation:

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

(20) Obligation:

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

(22) Obligation:

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

(24) Obligation:

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

(26) Obligation:

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

(28) Obligation:

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

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

(41) koat Proof (EQUIVALENT transformation)

(42) BOUNDS(CONSTANT, 37 + 198 * |args|)