time complexity proof of /tmp/tmp5BJ

The time complexity of the given JBC problem could be proven to be BOUNDS(CONSTANT, 144 + 15 * |args|).

0 JBC problem

↳1 JBCToGraph (BOTH CONCRETE BOUNDS(ID, ID), 490 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)), 23 ms)

↳4 JBCComplexityEdges

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

    ↳6 WeightedIntTrs

        ↳7 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 65 ms)

        ↳8 WeightedIntTrs

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

        ↳10 WeightedIntTrs

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

        ↳12 WeightedIntTrs

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

        ↳14 WeightedIntTrs

        ↳15 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 10 ms)

        ↳16 WeightedIntTrs

    ↳17 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 154 ms)

    ↳18 WeightedIntTrs

        ↳19 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 47 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), 8 ms)

        ↳28 WeightedIntTrs

↳29 TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)), 20 ms)

↳30 JBCComplexityEdges

    ↳31 JBCGraphEdgesToCpxIntTrsProof (CONCRETE UPPER BOUND(ID), 112 ms)

    ↳32 WeightedIntTrs

    ↳33 StraightLineCodeCompressionProof (BOTH CONCRETE BOUNDS(ID, ID), 87 ms)

    ↳34 WeightedIntTrs

    ↳35 WeightedIntTrsUnneededArgumentFilterProof (CONCRETE UPPER BOUND(ID), 24 ms)

    ↳36 WeightedIntTrs

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

    ↳38 WeightedIntTrs

    ↳39 ExpressionSimplificationProof (BOTH CONCRETE BOUNDS(ID, ID), 5 ms)

    ↳40 WeightedIntTrs

    ↳41 koat Proof (⇔, 132 ms)

    ↳42 BOUNDS(CONSTANT, 48 + 15 * |args|)

(0) Obligation:

Need to prove time_complexity of the following program:

public class MinusMin{

  public static int min (int x, int y) {

    if (x < y) return x;
    else return y;
  }


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



    while (min(x-1,y) == y) {

      y++;
      res++;

    }


  }

}


public class Random {
  static String[] args;
  static int index = 0;

  public static int random() {
    String string = args[index];
    index++;
    return string.length();
  }
}

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

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
MinusMin.main([Ljava/lang/String;)V: Graph of 187 nodes with 1 SCC.

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) transformation)

Extracted set of 88 edges for the analysis of TIME complexity. Kept leaves.

(4) Obligation:

Set of 88 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 88 jbc graph edges to a weighted ITS with 88 rules.
Used simplified encoding of division and modulo.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(6) Obligation:

IntTrs with 88 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_4(o2, env, static) :|: 0 < o2
main_Load_4(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_17(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_17(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_19(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_19(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_46(o2, env, static) :|: 0 < o2
main_Load_46(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_64(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(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_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(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_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_231(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_231(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_251(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_251(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_382(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_382(a111, i8, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_452(a111, i8, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && i30 <= 2 && i30 <= 1 && 0 <= i8 && iconst_2 = 2 && 0 < a111
main_Load_452(a129, i8, i44, i45, iconst_2, i12, env, static) -{0,0}> main_Load_524(a129, i8, i44, i45, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && i45 <= 2 && 0 <= i8 && 0 <= i44 && iconst_2 = 2 && 0 < a129
main_Load_524(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) :|: i8 - iconst_1 = i64 && 0 <= i59 && 2 <= i12 && -1 <= i64 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 = i58 && 0 < a141
main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 + 1 = i69 && 1 <= i69 && 0 < a141
main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) -{1,1}> main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i59 + 1 = i70 && 0 <= i8 && iconst_2 = 2 && 1 <= i70 && 1 <= i69 && 0 < a141
main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) -{1,1}> main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141
main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) -{0,0}> main_Load_524(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 <= i8 && 0 <= i69 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141

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

obtained
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_4(o2, env, static) :|: 0 < o2
main_Load_4(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_17(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_17(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_19(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_19(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_46(o2, env, static) :|: 0 < o2
main_Load_46(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_64(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6

obtained
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_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_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(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_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(o8, a6, iconst_1, i6, env, static) -{1,1}> random_InvokeMethod_100(o8, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && 0 < a6

obtained
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
by chaining
random_InvokeMethod_100(o12, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) :|: 1 <= i6 && 0 <= o12 && 0 < o12 && iconst_1 = 1 && 0 < a6
random_InvokeMethod_102(o12, a6, iconst_1, i6, env, static) -{1,1}> random_Return_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_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8

obtained
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
by chaining
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2

obtained
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50
by chaining
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_231(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_231(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_251(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_251(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_382(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_382(a111, i8, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_452(a111, i8, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && i30 <= 2 && i30 <= 1 && 0 <= i8 && iconst_2 = 2 && 0 < a111
main_Load_452(a129, i8, i44, i45, iconst_2, i12, env, static) -{0,0}> main_Load_524(a129, i8, i44, i45, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && i45 <= 2 && 0 <= i8 && 0 <= i44 && iconst_2 = 2 && 0 < a129

obtained
main_Load_524(a141, i8, i58, i59, 2, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64'
by chaining
main_Load_524(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) :|: i8 - iconst_1 = i64 && 0 <= i59 && 2 <= i12 && -1 <= i64 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141

obtained
min_GE_536(i64, i58, a141, i8, i59, 2, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59
by chaining
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 = i58 && 0 < a141
main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 + 1 = i69 && 1 <= i69 && 0 < a141
main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) -{1,1}> main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i59 + 1 = i70 && 0 <= i8 && iconst_2 = 2 && 1 <= i70 && 1 <= i69 && 0 < a141
main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) -{1,1}> main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141
main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) -{0,0}> main_Load_524(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 <= i8 && 0 <= i69 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141

(8) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_70(a6, 0, i6, env, static) -{7,7}> random_InvokeMethod_100(o8', a6, 1, i6, env, static'4) :|: 0 <= i6 && 0 < a6 && 1 <= i6 && 0 <= static && 0 <= o8' && o8' < a6 && -1 * static <= 0 && static'4 <= static + 1
random_InvokeMethod_100(NULL, a6, iconst_1, i6, env, static) -{0,0}> random_InvokeMethod_103(NULL, a6, iconst_1, i6, env, static) :|: NULL = 0 && 1 <= i6 && iconst_1 = 1 && 0 <= NULL && 0 < a6
random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50
main_Load_524(a141, i8, i58, i59, 2, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64'
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_536(i64, i58, a141, i8, i59, 2, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59

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

Moved arithmethic from lhss to constraints.

random_ArrayAccess_143(a6, 1, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2
was transformed to
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1

random_InvokeMethod_100(o12, a6, 1, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

main_Load_524(a141, i8, i58, i59, 2, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64'
was transformed to
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2

random_InvokeMethod_213(o50, a6, i8, 2, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2

random_ArrayAccess_70(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_70(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

min_GE_536(i64, i58, a141, i8, i59, 2, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59
was transformed to
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2

(10) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_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
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(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
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

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

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

(12) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_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_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
random_ArrayAccess_70(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_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

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

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

min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
was transformed to
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i58 + 1, i59 + 1, 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2

min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
was transformed to
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, 2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141

main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
was transformed to
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i8 - 1, i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2

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

random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
was transformed to
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

(14) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_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
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i58 + 1, i59 + 1, 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, 2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i8 - 1, i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_70(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_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
was transformed to
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3

random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
was transformed to
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= i8 && i20' <= o50 && x = 2

random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
was transformed to
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1

(16) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= i8 && i20' <= o50 && x = 2
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 && 0 < o2 && 0 <= i4' && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 <= static'3
random_InvokeMethod_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
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i58 + 1, i59 + 1, 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, 2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i8 - 1, i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
random_ArrayAccess_70(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

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

Transformed 88 jbc graph edges to a weighted ITS with 88 rules.
Filtered conditions with variables that do not depend on the variables on the lhs or rhs without taking transitive dependencies into account.
Did no encode lower bounds for putfield and astore.

(18) Obligation:

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

(20) Obligation:

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

Moved arithmethic from lhss to constraints.

(22) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, iconst_1, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_InvokeMethod_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
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_ArrayAccess_70(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
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_ArrayAccess_70(a6, iconst_0, iconst_0, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6

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

Linearized lhss.

(24) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_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_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, iconst_1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i64', i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
random_ArrayAccess_70(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_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, iconst_0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(NULL, a6, i8, iconst_2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Moved arithmethic from constraints to rhss.

(26) Obligation:

IntTrs with 12 rules
Start term: main_Load_2(args, env, static)
Considered paths: nonterm paths and paths from start to sinks
Rules:
main_Load_2(o2, env, static) -{23,23}> random_ArrayAccess_70(o2, 0, i4', env, static'3) :|: static'3 <= static'2 + o2 && i4' < o2 && static'2 <= static'1 + 0 && 0 < o2 && 0 <= 2 && 0 <= i4' && 0 <= o2 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && -1 * static'3 <= 0 && 0 <= static && 0 < 1 && 0 < 2 && 0 <= 1 && 0 <= static'3
random_ArrayAccess_143(a6, x, i8, i12, env, static) -{7,7}> random_InvokeMethod_213(o25', a6, i8, 2, i12, env, static'5) :|: 1 <= i12 && 2 <= i12 && 0 <= o25' && 0 <= static && 0 <= i8 && 0 < a6 && o25' < a6 && 1 <= static && -1 * static <= 1 && static'5 <= static + 2 && x = 1
random_ArrayAccess_143(a6, iconst_1, i8, x, env, static) -{0,0}> random_ArrayAccess_146(a6, 1, i8, env, static) :|: 1 <= iconst_1 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && x = iconst_1
random_InvokeMethod_213(o50, a6, i8, x, i12, env, static) -{5,5}> main_Load_524(a6, i8, i20', 0, 2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i20' && 0 < o50 && 0 <= 2 && 0 <= i8 && 0 <= 1 && 0 <= 0 && 0 <= o50 && i20' <= o50 && x = 2
random_InvokeMethod_100(o12, a6, x, i6, env, static) -{6,6}> random_ArrayAccess_143(a6, 1, i8', i6, env, static) :|: 0 <= a6 && 0 <= i8' && i8' <= o12 && 0 < a6 && a6 <= static && 0 <= static && 0 <= o12 && 1 <= static && -1 * static <= 1 && 1 <= i6 && 0 < o12 && x = 1
random_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
min_GE_536(i64, i58, a141, i8, i59, x, i12, env, static) -{8,8}> main_Load_524(a141, i8, i58 + 1, i59 + 1, 2, i12, env, static) :|: -1 <= i64 && 0 < a141 && 0 <= i58 && 1 <= i69' && 0 <= i8 && i58 + 1 = i69' && 1 <= i70' && 0 <= i69' && i58 <= i64 && i59 + 1 = i70' && 2 <= i12 && 0 <= i70' && 0 <= i59 && x = 2
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_542(i64, i58, a141, i8, i59, 2, i12, env, static) :|: 0 <= i59 && i64 < i58 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_524(a141, i8, i58, i59, x, i12, env, static) -{7,7}> min_GE_536(i8 - 1, i58, a141, i8, i59, 2, i12, env, static) :|: 2 <= i12 && 0 < a141 && 0 <= i59 && 0 <= i58 && 0 <= i8 && -1 <= i64' && i8 - 1 = i64' && x = 2
random_ArrayAccess_70(a6, iconst_0, x, env, static) -{0,0}> random_ArrayAccess_71(a6, 0, env, static) :|: 0 <= iconst_0 && iconst_0 = 0 && 0 < a6 && x = iconst_0
random_ArrayAccess_70(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_InvokeMethod_213(NULL, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_221(0, a6, i8, 2, i12, env, static) :|: NULL = 0 && 2 <= i12 && 0 <= NULL && 0 < a6 && 0 <= i8 && iconst_2 = 2

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

Simplified expressions.

(28) Obligation:

(29) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) 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_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{0,0}> main_Load_4(o2, env, static) :|: 0 < o2
main_Load_4(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_17(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_17(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_19(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_19(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_46(o2, env, static) :|: 0 < o2
main_Load_46(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_64(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(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_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(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_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_231(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_231(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_251(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_251(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_382(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_382(a111, i8, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_452(a111, i8, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && i30 <= 2 && i30 <= 1 && 0 <= i8 && iconst_2 = 2 && 0 < a111
main_Load_452(a129, i8, i44, i45, iconst_2, i12, env, static) -{0,0}> main_Load_524(a129, i8, i44, i45, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && i45 <= 2 && 0 <= i8 && 0 <= i44 && iconst_2 = 2 && 0 < a129
main_Load_524(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) :|: i8 - iconst_1 = i64 && 0 <= i59 && 2 <= i12 && -1 <= i64 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 = i58 && 0 < a141
main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 + 1 = i69 && 1 <= i69 && 0 < a141
main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) -{1,1}> main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i59 + 1 = i70 && 0 <= i8 && iconst_2 = 2 && 1 <= i70 && 1 <= i69 && 0 < a141
main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) -{1,1}> main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141
main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) -{0,0}> main_Load_524(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 <= i8 && 0 <= i69 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141

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

obtained
main_Load_2(o2, env, static) -{48,48}> main_Load_524(o2, i8', i20', 0, 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && 0 <= o25' && 0 <= 2 && static'2 <= static'1 + 0 && 0 <= 0 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= o2 && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i4' && 0 <= 1 && o25' < o2 && 0 < 2 && i20' <= o25' && static'4 <= static'3 + 1
by chaining
main_Load_2(o2, env, static) -{0,0}> main_Load_4(o2, env, static) :|: 0 < o2
main_Load_4(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_5(o2, env, static) :|: 0 < o2
langle_clinit_rangle_ConstantStackPush_5(o2, env, static) -{1,1}> langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) :|: 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ArrayCreate_10(iconst_0, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) :|: a2 = 2 && 0 < o2 && iconst_0 = 0 && 0 < a2
langle_clinit_rangle_FieldAccess_12(a2, o2, iconst_0, env, static) -{1,1}> langle_clinit_rangle_New_14(o2, env, static') :|: 0 <= a2 && 0 < o2 && iconst_0 = 0 && static' <= static + a2 && 0 <= static && 0 < a2
langle_clinit_rangle_New_14(o2, env, static) -{0,0}> langle_clinit_rangle_New_15(o2, env, static) :|: 0 < o2
langle_clinit_rangle_New_15(o2, env, static) -{0,0}> langle_clinit_rangle_New_17(o2, env, static) :|: 0 < o2 && 0 <= static
langle_clinit_rangle_New_17(o2, env, static) -{1,1}> langle_clinit_rangle_Duplicate_19(o4, o2, env, static) :|: o4 = 1 && 0 < o2 && 0 < o4
langle_clinit_rangle_Duplicate_19(o4, o2, env, static) -{1,1}> langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_ConstantStackPush_21(o4, o2, env, static) -{1,1}> langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_clinit_rangle_InvokeMethod_22(o4, NULL, o2, env, static) -{1,1}> langle_init_rangle_Load_24(o4, o2, env, static) :|: NULL = 0 && 0 < o2 && 0 < o4
langle_init_rangle_Load_24(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_26(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_26(o4, o2, env, static) -{1,1}> langle_init_rangle_Load_28(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Load_28(o4, o2, env, static) -{1,1}> langle_init_rangle_InvokeMethod_30(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_InvokeMethod_30(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_32(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_32(o4, o2, env, static) -{1,1}> langle_init_rangle_Return_35(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_init_rangle_Return_35(o4, o2, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) :|: 0 < o2 && 0 < o4
langle_clinit_rangle_FieldAccess_37(o4, o2, env, static) -{1,1}> langle_clinit_rangle_Return_40(o2, env, static') :|: 0 < o2 && 0 <= o4 && 0 < o4 && 0 <= static && static' <= static + o4
langle_clinit_rangle_Return_40(o2, env, static) -{1,1}> main_Load_41(o2, env, static) :|: 0 < o2
main_Load_41(o2, env, static) -{0,0}> main_Load_42(o2, env, static) :|: 0 < o2
main_Load_42(o2, env, static) -{0,0}> main_Load_43(o2, env, static) :|: 0 < o2 && 0 <= static
main_Load_43(o2, env, static) -{0,0}> main_Load_46(o2, env, static) :|: 0 < o2
main_Load_46(o2, env, static) -{0,0}> main_Load_48(o2, env, static) :|: 0 < o2
main_Load_48(o2, env, static) -{1,1}> main_FieldAccess_51(o2, env, static) :|: 0 < o2
main_FieldAccess_51(o2, env, static) -{0,0}> main_FieldAccess_53(o2, env, static) :|: 0 < o2
main_FieldAccess_53(o2, env, static) -{0,0}> langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_ConstantStackPush_55(o2, NULL, iconst_0, env, static) -{1,1}> langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
langle_clinit_rangle_FieldAccess_57(iconst_0, o2, NULL, env, static) -{1,1}> langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && iconst_0 = 0 && 0 <= static && static' <= static + iconst_0
langle_clinit_rangle_Return_60(o2, NULL, iconst_0, env, static) -{1,1}> main_FieldAccess_61(o2, NULL, iconst_0, env, static) :|: NULL = 0 && 0 < o2 && iconst_0 = 0
main_FieldAccess_61(o2, NULL, iconst_0, env, static) -{1,1}> main_InvokeMethod_64(o2, iconst_0, env, static') :|: NULL = 0 && 0 < o2 && 0 <= o2 && iconst_0 = 0 && 0 <= static && static' <= static + o2
main_InvokeMethod_64(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_66(o2, iconst_0, env, static) :|: 0 < o2 && iconst_0 = 0
random_FieldAccess_66(o2, iconst_0, env, static) -{1,1}> random_FieldAccess_67(o2, iconst_0, env, static) :|: 0 < o2 && o2 <= static && 0 <= o2 && iconst_0 = 0 && 0 <= static
random_FieldAccess_67(o2, iconst_0, env, static) -{1,1}> random_ArrayAccess_69(o2, iconst_0, env, static) :|: 0 < o2 && -1 * static <= iconst_0 && iconst_0 = 0 && 0 <= static && iconst_0 <= static
random_ArrayAccess_69(a6, iconst_0, env, static) -{0,0}> random_ArrayAccess_70(a6, iconst_0, i4, env, static) :|: 0 <= i4 && iconst_0 = 0 && 0 < a6 && i4 < a6
random_ArrayAccess_70(a6, iconst_0, i6, env, static) -{0,0}> random_ArrayAccess_73(a6, iconst_0, i6, env, static) :|: 0 <= i6 && 1 <= i6 && iconst_0 = 0 && 0 < a6
random_ArrayAccess_73(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_80(o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_0 = 0 && 0 < a6
random_FieldAccess_80(o8, a6, iconst_0, i6, env, static) -{1,1}> random_ConstantStackPush_84(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_84(iconst_0, o8, a6, i6, env, static) -{1,1}> random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_IntArithmetic_88(iconst_0, iconst_1, o8, a6, i6, env, static) -{1,1}> random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) :|: 1 <= i6 && 0 <= o8 && iconst_1 = 1 && iconst_0 = 0 && 0 < a6
random_FieldAccess_90(iconst_1, o8, a6, iconst_0, i6, env, static) -{1,1}> random_Load_94(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_94(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_112(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_Store_112(a6, i8, iconst_1, i6, env, static) -{1,1}> main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
main_InvokeMethod_116(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) :|: 1 <= i6 && iconst_1 = 1 && 0 < a6 && 0 <= i8
random_FieldAccess_121(a6, i8, iconst_1, i6, env, static) -{1,1}> random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) :|: 0 <= a6 && 1 <= i6 && iconst_1 = 1 && a6 <= static && 0 <= static && 0 < a6 && 0 <= i8
random_FieldAccess_136(a6, i8, iconst_1, i6, env, static) -{1,1}> random_ArrayAccess_143(a6, iconst_1, i8, i6, env, static) :|: -1 * static <= iconst_1 && 1 <= i6 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8
random_ArrayAccess_143(a6, iconst_1, i8, i12, env, static) -{0,0}> random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 1 <= i12
random_ArrayAccess_147(a6, iconst_1, i8, i12, env, static) -{1,1}> random_Store_151(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && o25 < a6 && 0 < a6 && 0 <= i8 && 0 <= o25
random_Store_151(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_FieldAccess_153(o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) :|: -1 * static <= iconst_1 && 2 <= i12 && iconst_1 <= static && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25
random_ConstantStackPush_171(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25
random_IntArithmetic_182(iconst_1, o25, a6, i8, i12, env, static) -{1,1}> random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) :|: 2 <= i12 && iconst_1 = 1 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_FieldAccess_189(iconst_2, o25, a6, i8, iconst_1, i12, env, static) -{1,1}> random_Load_199(o25, a6, i8, iconst_2, i12, env, static') :|: 2 <= i12 && iconst_1 = 1 && 0 <= static && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2 && static' <= static + iconst_2
random_Load_199(o25, a6, i8, iconst_2, i12, env, static) -{1,1}> random_InvokeMethod_213(o25, a6, i8, iconst_2, i12, env, static) :|: 2 <= i12 && 0 < a6 && 0 <= i8 && 0 <= o25 && iconst_2 = 2
random_InvokeMethod_213(o50, a6, i8, iconst_2, i12, env, static) -{0,0}> random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) :|: 0 < o50 && 2 <= i12 && 0 <= o50 && 0 < a6 && 0 <= i8 && iconst_2 = 2
random_InvokeMethod_220(o50, a6, i8, iconst_2, i12, env, static) -{1,1}> random_Return_231(i20, a6, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 0 < o50 && 2 <= i12 && 0 < a6 && 0 <= i8 && i20 <= o50 && iconst_2 = 2
random_Return_231(i20, a6, i8, iconst_2, i12, env, static) -{1,1}> main_Store_251(a6, i20, i8, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_251(a6, i20, i8, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_ConstantStackPush_258(a6, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Store_262(a6, iconst_0, i8, i20, iconst_2, i12, env, static) -{1,1}> main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 2 <= i12 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_267(a6, i8, i20, iconst_0, iconst_2, i12, env, static) -{0,0}> main_Load_382(a6, i8, i20, iconst_0, iconst_2, i12, env, static) :|: 0 <= i20 && 0 <= iconst_0 && 2 <= i12 && iconst_0 <= 1 && iconst_0 = 0 && 0 < a6 && 0 <= i8 && iconst_2 = 2
main_Load_382(a111, i8, i29, i30, iconst_2, i12, env, static) -{0,0}> main_Load_452(a111, i8, i29, i30, iconst_2, i12, env, static) :|: 0 <= i29 && 2 <= i12 && 0 <= i30 && i30 <= 2 && i30 <= 1 && 0 <= i8 && iconst_2 = 2 && 0 < a111
main_Load_452(a129, i8, i44, i45, iconst_2, i12, env, static) -{0,0}> main_Load_524(a129, i8, i44, i45, iconst_2, i12, env, static) :|: 0 <= i45 && 2 <= i12 && i45 <= 2 && 0 <= i8 && 0 <= i44 && iconst_2 = 2 && 0 < a129

obtained
main_Load_524(a141, i8, i58, i59, 2, i12, env, static) -{15,15}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'
by chaining
main_Load_524(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_ConstantStackPush_526(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_IntArithmetic_527(a141, i8, iconst_1, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) :|: i8 - iconst_1 = i64 && 0 <= i59 && 2 <= i12 && -1 <= i64 && iconst_1 = 1 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_529(a141, i64, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_InvokeMethod_531(a141, i64, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_533(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_534(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_536(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{0,0}> min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_GE_541(i64, i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i58 <= i64 && -1 <= i64 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Load_543(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
min_Return_547(i58, a141, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_Load_549(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && 0 < a141
main_NE_561(a141, i58, i8, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 = i58 && 0 < a141
main_Inc_566(a141, i8, i58, i59, iconst_2, i12, env, static) -{1,1}> main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && 0 <= i58 && 0 <= i8 && iconst_2 = 2 && i58 + 1 = i69 && 1 <= i69 && 0 < a141
main_Inc_574(a141, i8, i69, i59, iconst_2, i12, env, static) -{1,1}> main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 0 <= i59 && 2 <= i12 && i59 + 1 = i70 && 0 <= i8 && iconst_2 = 2 && 1 <= i70 && 1 <= i69 && 0 < a141
main_JMP_578(a141, i8, i69, i70, iconst_2, i12, env, static) -{1,1}> main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i8 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141
main_Load_581(a141, i8, i69, i70, iconst_2, i12, env, static) -{0,0}> main_Load_524(a141, i8, i69, i70, iconst_2, i12, env, static) :|: 2 <= i12 && 0 <= i70 && 0 <= i8 && 0 <= i69 && 1 <= i70 && iconst_2 = 2 && 1 <= i69 && 0 < a141

(34) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, env, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, env, static) -{48,48}> main_Load_524(o2, i8', i20', 0, 2, i4', env, static'5) :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && 0 <= o25' && 0 <= 2 && static'2 <= static'1 + 0 && 0 <= 0 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= o2 && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i4' && 0 <= 1 && o25' < o2 && 0 < 2 && i20' <= o25' && static'4 <= static'3 + 1
main_Load_524(a141, i8, i58, i59, 2, i12, env, static) -{15,15}> main_Load_524(a141, i8, i69', i70', 2, i12, env, static) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'

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

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

main_Load_2(x1, x2, x3) → main_Load_2(x1, x3)
main_Load_524(x1, x2, x3, x4, x5, x6, x7, x8) → main_Load_524(x1, x2, x3, x4, x6)

(36) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{48,48}> main_Load_524(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && 0 <= o25' && 0 <= 2 && static'2 <= static'1 + 0 && 0 <= 0 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= o2 && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i4' && 0 <= 1 && o25' < o2 && 0 < 2 && i20' <= o25' && static'4 <= static'3 + 1
main_Load_524(a141, i8, i58, i59, i12) -{15,15}> main_Load_524(a141, i8, i69', i70', i12) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'

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

Moved arithmethic from constraints to rhss.

main_Load_524(a141, i8, i58, i59, i12) -{15,15}> main_Load_524(a141, i8, i69', i70', i12) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'
was transformed to
main_Load_524(a141, i8, i58, i59, i12) -{15,15}> main_Load_524(a141, i8, i58 + 1, i59 + 1, i12) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'

(38) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{48,48}> main_Load_524(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && 0 <= o25' && 0 <= 2 && static'2 <= static'1 + 0 && 0 <= 0 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= o2 && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i4' && 0 <= 1 && o25' < o2 && 0 < 2 && i20' <= o25' && static'4 <= static'3 + 1
main_Load_524(a141, i8, i58, i59, i12) -{15,15}> main_Load_524(a141, i8, i58 + 1, i59 + 1, i12) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'

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

Simplified expressions.

main_Load_2(o2, static) -{48,48}> main_Load_524(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && 0 <= o25' && 0 <= 2 && static'2 <= static'1 + 0 && 0 <= 0 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && 0 <= o2 && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 < 1 && 0 <= static'3 && -1 * static'4 <= 1 && 0 <= o8' && 0 < o25' && 1 <= static'4 && 0 <= i4' && 0 <= 1 && o25' < o2 && 0 < 2 && i20' <= o25' && static'4 <= static'3 + 1
was transformed to
main_Load_2(o2, static) -{48,48}> main_Load_524(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && static'2 <= static'1 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i4' && o25' < o2 && i20' <= o25' && static'4 <= static'3 + 1

(40) Obligation:

IntTrs with 2 rules
Start term: main_Load_2(args, static)
Considered paths: all paths from start
Rules:
main_Load_2(o2, static) -{48,48}> main_Load_524(o2, i8', i20', 0, i4') :|: static'5 <= static'4 + 2 && 0 < o2 && 1 <= i4' && i4' < o2 && 0 <= i20' && static'3 <= static'2 + o2 && 0 <= i8' && static'2 <= static'1 && 2 <= i4' && o8' < o2 && o2 <= static'4 && 0 <= static'4 && 0 < o8' && i8' <= o8' && -1 * static'3 <= 0 && 0 <= static'2 && o2 <= static'3 && static'1 <= static''' + 1 && 0 <= static'1 && static''' <= static + 2 && 0 <= static''' && 0 <= static && 0 <= static'3 && -1 * static'4 <= 1 && 0 < o25' && 1 <= static'4 && 0 <= i4' && o25' < o2 && i20' <= o25' && static'4 <= static'3 + 1
main_Load_524(a141, i8, i58, i59, i12) -{15,15}> main_Load_524(a141, i8, i58 + 1, i59 + 1, i12) :|: i58 <= i64' && 0 < a141 && 0 <= i59 && 1 <= i69' && 0 <= i8 && 2 <= i12 && 1 <= i70' && i58 + 1 = i69' && 0 <= i69' && 0 <= i58 && 0 <= i70' && i59 + 1 = i70' && -1 <= i64' && i8 - 1 = i64'

(41) koat Proof (EQUIVALENT transformation)

YES(?, 15*ar_0 + 48)

Initial complexity problem:
1: T:
(Comp: ?, Cost: 48) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i20' /\ static'3 <= static'2 + ar_0 /\ 0 <= i8' /\ static'2 <= static'1 /\ 2 <= i4' /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ i8' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 15) main_Load_524(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ ar_2 <= i64' /\ 0 < ar_0 /\ 0 <= ar_3 /\ 1 <= i69' /\ 0 <= ar_1 /\ 2 <= ar_4 /\ 1 <= i70' /\ ar_2 + 1 = i69' /\ 0 <= i69' /\ 0 <= ar_2 /\ 0 <= i70' /\ ar_3 + 1 = i70' /\ -1 <= i64' /\ ar_1 - 1 = i64' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2: T:
(Comp: 1, Cost: 48) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i20' /\ static'3 <= static'2 + ar_0 /\ 0 <= i8' /\ static'2 <= static'1 /\ 2 <= i4' /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ i8' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ?, Cost: 15) main_Load_524(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ ar_2 <= i64' /\ 0 < ar_0 /\ 0 <= ar_3 /\ 1 <= i69' /\ 0 <= ar_1 /\ 2 <= ar_4 /\ 1 <= i70' /\ ar_2 + 1 = i69' /\ 0 <= i69' /\ 0 <= ar_2 /\ 0 <= i70' /\ ar_3 + 1 = i70' /\ -1 <= i64' /\ ar_1 - 1 = i64' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

A polynomial rank function with
Pol(main_Load_2) = V_1
Pol(main_Load_524) = V_2 - V_3
Pol(koat_start) = V_1
orients all transitions weakly and the transition
main_Load_524(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ ar_2 <= i64' /\ 0 < ar_0 /\ 0 <= ar_3 /\ 1 <= i69' /\ 0 <= ar_1 /\ 2 <= ar_4 /\ 1 <= i70' /\ ar_2 + 1 = i69' /\ 0 <= i69' /\ 0 <= ar_2 /\ 0 <= i70' /\ ar_3 + 1 = i70' /\ -1 <= i64' /\ ar_1 - 1 = i64' ]
strictly and produces the following problem:
3: T:
(Comp: 1, Cost: 48) main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, i8', i20', 0, i4')) [ static'5 <= static'4 + 2 /\ 0 < ar_0 /\ 1 <= i4' /\ i4' < ar_0 /\ 0 <= i20' /\ static'3 <= static'2 + ar_0 /\ 0 <= i8' /\ static'2 <= static'1 /\ 2 <= i4' /\ o8' < ar_0 /\ ar_0 <= static'4 /\ 0 <= static'4 /\ 0 < o8' /\ i8' <= o8' /\ -static'3 <= 0 /\ 0 <= static'2 /\ ar_0 <= static'3 /\ static'1 <= static''' + 1 /\ 0 <= static'1 /\ static''' <= ar_1 + 2 /\ 0 <= static''' /\ 0 <= ar_1 /\ 0 <= static'3 /\ -static'4 <= 1 /\ 0 < o25' /\ 1 <= static'4 /\ 0 <= i4' /\ o25' < ar_0 /\ i20' <= o25' /\ static'4 <= static'3 + 1 ]
(Comp: ar_0, Cost: 15) main_Load_524(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_524(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4)) [ ar_2 <= i64' /\ 0 < ar_0 /\ 0 <= ar_3 /\ 1 <= i69' /\ 0 <= ar_1 /\ 2 <= ar_4 /\ 1 <= i70' /\ ar_2 + 1 = i69' /\ 0 <= i69' /\ 0 <= ar_2 /\ 0 <= i70' /\ ar_3 + 1 = i70' /\ -1 <= i64' /\ ar_1 - 1 = i64' ]
(Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4) -> Com_1(main_Load_2(ar_0, ar_1, ar_2, ar_3, ar_4)) [ 0 <= 0 ]
start location: koat_start
leaf cost: 0

Complexity upper bound 15*ar_0 + 48

Time: 0.192 sec (SMT: 0.160 sec)

(0) Obligation:

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

(2) Obligation:

(3) TerminationGraphToComplexityProof (BOTH CONCRETE BOUNDS(ID, ADD(96)) 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(96)) transformation)

(30) Obligation:

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

(32) Obligation:

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

(34) Obligation:

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

(36) Obligation:

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

(38) Obligation:

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

(40) Obligation:

(41) koat Proof (EQUIVALENT transformation)

(42) BOUNDS(CONSTANT, 48 + 15 * |args|)