Termination proof of /tmp/tmp1NuGMJ/AlternatingGrowReduce.jar

Termination of the given JBC could be proven:

0 JBC

↳1 JBCToGraph (⇒, 240 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToSCCProof (⇒, 0 ms)

↳4 AND

    ↳5 JBCTerminationSCC

        ↳6 SCCToIDPv1Proof (⇒, 20 ms)

        ↳7 IDP

        ↳8 IDPNonInfProof (⇒, 190 ms)

        ↳9 AND

            ↳10 IDP

                ↳11 IDependencyGraphProof (⇔, 0 ms)

                ↳12 TRUE

            ↳13 IDP

                ↳14 IDependencyGraphProof (⇔, 0 ms)

                ↳15 TRUE

    ↳16 JBCTerminationSCC

        ↳17 SCCToIDPv1Proof (⇒, 750 ms)

        ↳18 IDP

        ↳19 IDPtoQDPProof (⇒, 0 ms)

        ↳20 QDP

        ↳21 QDPOrderProof (⇔, 0 ms)

        ↳22 QDP

        ↳23 DependencyGraphProof (⇔, 0 ms)

        ↳24 TRUE

(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_25 (Sun Microsystems Inc.) Main-Class: AlternatingGrowReduce/AlternatingGrowReduce

package AlternatingGrowReduce;

public class AlternatingGrowReduce {
	AlternatingGrowReduce next;

	public static void main(String[] argv) {
		Random.args = argv;
		AlternatingGrowReduce list = createList(Random.random());

		int mode = 0;
		while (list != null) {
			if (mode == 0) {
				list = list.next.next.next.next;
			} else if (mode == 1) {
				list = new AlternatingGrowReduce(list);
			} else if (mode > 1) {
				list = new AlternatingGrowReduce(new AlternatingGrowReduce(list));
			}

			mode++;
			if (mode > 2) {
				mode = 0;
			}
		}
	}

	public AlternatingGrowReduce(AlternatingGrowReduce old) {
		this.next = old;
	}

	public static AlternatingGrowReduce createList(int length) {
		AlternatingGrowReduce res = new AlternatingGrowReduce(null);
		while (length > 0) {
			res = new AlternatingGrowReduce(res);
			length--;
		}
		return res;
	}
}


package AlternatingGrowReduce;

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

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

(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
AlternatingGrowReduce.AlternatingGrowReduce.main([Ljava/lang/String;)V: Graph of 254 nodes with 1 SCC.

AlternatingGrowReduce.AlternatingGrowReduce.createList(I)LAlternatingGrowReduce/AlternatingGrowReduce;: Graph of 33 nodes with 1 SCC.

(3) TerminationGraphToSCCProof (SOUND transformation)

Splitted TerminationGraph to 2 SCCss.

(4) Complex Obligation (AND)

(5) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: AlternatingGrowReduce.AlternatingGrowReduce.createList(I)LAlternatingGrowReduce/AlternatingGrowReduce;
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 17 rules for P and 0 rules for R.

P rules:
329_0_createList_LE(EOS(STATIC_329), i36, i36) → 334_0_createList_LE(EOS(STATIC_334), i36, i36)
334_0_createList_LE(EOS(STATIC_334), i36, i36) → 339_0_createList_New(EOS(STATIC_339), i36) | >(i36, 0)
339_0_createList_New(EOS(STATIC_339), i36) → 346_0_createList_Duplicate(EOS(STATIC_346), i36)
346_0_createList_Duplicate(EOS(STATIC_346), i36) → 352_0_createList_Load(EOS(STATIC_352), i36)
352_0_createList_Load(EOS(STATIC_352), i36) → 359_0_createList_InvokeMethod(EOS(STATIC_359), i36)
359_0_createList_InvokeMethod(EOS(STATIC_359), i36) → 376_0_<init>_Load(EOS(STATIC_376), i36)
376_0_<init>_Load(EOS(STATIC_376), i36) → 383_0_<init>_InvokeMethod(EOS(STATIC_383), i36)
383_0_<init>_InvokeMethod(EOS(STATIC_383), i36) → 388_0_<init>_Load(EOS(STATIC_388), i36)
388_0_<init>_Load(EOS(STATIC_388), i36) → 391_0_<init>_Load(EOS(STATIC_391), i36)
391_0_<init>_Load(EOS(STATIC_391), i36) → 396_0_<init>_FieldAccess(EOS(STATIC_396), i36)
396_0_<init>_FieldAccess(EOS(STATIC_396), i36) → 402_0_<init>_Return(EOS(STATIC_402), i36)
402_0_<init>_Return(EOS(STATIC_402), i36) → 406_0_createList_Store(EOS(STATIC_406), i36)
406_0_createList_Store(EOS(STATIC_406), i36) → 411_0_createList_Inc(EOS(STATIC_411), i36)
411_0_createList_Inc(EOS(STATIC_411), i36) → 415_0_createList_JMP(EOS(STATIC_415), +(i36, -1)) | >(i36, 0)
415_0_createList_JMP(EOS(STATIC_415), i52) → 422_0_createList_Load(EOS(STATIC_422), i52)
422_0_createList_Load(EOS(STATIC_422), i52) → 322_0_createList_Load(EOS(STATIC_322), i52)
322_0_createList_Load(EOS(STATIC_322), i29) → 329_0_createList_LE(EOS(STATIC_329), i29, i29)
R rules:

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
329_0_createList_LE(EOS(STATIC_329), x0, x0) → 329_0_createList_LE(EOS(STATIC_329), +(x0, -1), +(x0, -1)) | >(x0, 0)
R rules:

Filtered ground terms:

329_0_createList_LE(x1, x2, x3) → 329_0_createList_LE(x2, x3)
EOS(x1) → EOS
Cond_329_0_createList_LE(x1, x2, x3, x4) → Cond_329_0_createList_LE(x1, x3, x4)

Filtered duplicate args:

329_0_createList_LE(x1, x2) → 329_0_createList_LE(x2)
Cond_329_0_createList_LE(x1, x2, x3) → Cond_329_0_createList_LE(x1, x3)

Combined rules. Obtained 1 conditional rules for P and 0 conditional rules for R.

P rules:
329_0_createList_LE(x0) → 329_0_createList_LE(+(x0, -1)) | >(x0, 0)
R rules:

Finished conversion. Obtained 2 rules for P and 0 rules for R. System has predefined symbols.

P rules:
329_0_CREATELIST_LE(x0) → COND_329_0_CREATELIST_LE(>(x0, 0), x0)
COND_329_0_CREATELIST_LE(TRUE, x0) → 329_0_CREATELIST_LE(+(x0, -1))
R rules:

(7) Obligation:

IDP problem:
The following function symbols are pre-defined:

!=	~	Neq: (Integer, Integer) -> Boolean
*	~	Mul: (Integer, Integer) -> Integer
>=	~	Ge: (Integer, Integer) -> Boolean
-1	~	UnaryMinus: (Integer) -> Integer
\|	~	Bwor: (Integer, Integer) -> Integer
/	~	Div: (Integer, Integer) -> Integer
=	~	Eq: (Integer, Integer) -> Boolean
	~	Bwxor: (Integer, Integer) -> Integer
\|\|	~	Lor: (Boolean, Boolean) -> Boolean
!	~	Lnot: (Boolean) -> Boolean
<	~	Lt: (Integer, Integer) -> Boolean
-	~	Sub: (Integer, Integer) -> Integer
<=	~	Le: (Integer, Integer) -> Boolean
>	~	Gt: (Integer, Integer) -> Boolean
~	~	Bwnot: (Integer) -> Integer
%	~	Mod: (Integer, Integer) -> Integer
&	~	Bwand: (Integer, Integer) -> Integer
+	~	Add: (Integer, Integer) -> Integer
&&	~	Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 329_0_CREATELIST_LE(x0[0]) → COND_329_0_CREATELIST_LE(x0[0] > 0, x0[0])
(1): COND_329_0_CREATELIST_LE(TRUE, x0[1]) → 329_0_CREATELIST_LE(x0[1] + -1)

(0) -> (1), if (x0[0] > 0 ∧x0[0] →^* x0[1])

(1) -> (0), if (x0[1] + -1 →^* x0[0])

The set Q is empty.

(8) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: false Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpCand1ShapeHeuristic@3707420a Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 0 Max Right Steps: 0

The constraints were generated the following way:
The DP Problem is simplified using the Induction Calculus [NONINF] with the following steps:
Note that final constraints are written in bold face.

For Pair 329_0_CREATELIST_LE(x0) → COND_329_0_CREATELIST_LE(>(x0, 0), x0) the following chains were created:

We consider the chain 329_0_CREATELIST_LE(x0[0]) → COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0]), COND_329_0_CREATELIST_LE(TRUE, x0[1]) → 329_0_CREATELIST_LE(+(x0[1], -1)) which results in the following constraint:
(1)    (>(x0[0], 0)=TRUE∧x0[0]=x0[1] ⇒ 329_0_CREATELIST_LE(x0[0])≥NonInfC∧329_0_CREATELIST_LE(x0[0])≥COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])∧(U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥))

We simplified constraint (1) using rule (IV) which results in the following new constraint:
(2)    (>(x0[0], 0)=TRUE ⇒ 329_0_CREATELIST_LE(x0[0])≥NonInfC∧329_0_CREATELIST_LE(x0[0])≥COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])∧(U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(3)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(4)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(5)    (x0[0] + [-1] ≥ 0 ⇒ (U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:
(6)    (x0[0] ≥ 0 ⇒ (U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)

For Pair COND_329_0_CREATELIST_LE(TRUE, x0) → 329_0_CREATELIST_LE(+(x0, -1)) the following chains were created:

We consider the chain COND_329_0_CREATELIST_LE(TRUE, x0[1]) → 329_0_CREATELIST_LE(+(x0[1], -1)) which results in the following constraint:
(7)    (COND_329_0_CREATELIST_LE(TRUE, x0[1])≥NonInfC∧COND_329_0_CREATELIST_LE(TRUE, x0[1])≥329_0_CREATELIST_LE(+(x0[1], -1))∧(U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥))

We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(8)    ((U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:
(9)    ((U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:
(10)    ((U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧[2 + (-1)bso_11] ≥ 0)

We simplified constraint (10) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:
(11)    ((U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

To summarize, we get the following constraints P_≥ for the following pairs.

329_0_CREATELIST_LE(x0) → COND_329_0_CREATELIST_LE(>(x0, 0), x0)
- (x0[0] ≥ 0 ⇒ (U^Increasing(COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])), ≥)∧[(-1)Bound*bni_8 + (2)bni_8] + [(2)bni_8]x0[0] ≥ 0∧[(-1)bso_9] ≥ 0)
COND_329_0_CREATELIST_LE(TRUE, x0) → 329_0_CREATELIST_LE(+(x0, -1))
- ((U^Increasing(329_0_CREATELIST_LE(+(x0[1], -1))), ≥)∧[bni_10] = 0∧0 = 0∧[2 + (-1)bso_11] ≥ 0)

The constraints for P_> respective P_bound are constructed from P_≥ where we just replace every occurence of "t ≥ s" in P_≥ by "t > s" respective "t ≥ c". Here c stands for the fresh constant used for P_bound.
Using the following integer polynomial ordering the resulting constraints can be solved
Polynomial interpretation over integers[POLO]:

POL(TRUE) = 0
POL(FALSE) = 0
POL(329_0_CREATELIST_LE(x₁)) = [2]x₁
POL(COND_329_0_CREATELIST_LE(x₁, x₂)) = [2]x₂
POL(>(x₁, x₂)) = [-1]
POL(0) = 0
POL(+(x₁, x₂)) = x₁ + x₂
POL(-1) = [-1]

The following pairs are in P_>:

COND_329_0_CREATELIST_LE(TRUE, x0[1]) → 329_0_CREATELIST_LE(+(x0[1], -1))

The following pairs are in P_bound:

329_0_CREATELIST_LE(x0[0]) → COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])

The following pairs are in P_≥:

329_0_CREATELIST_LE(x0[0]) → COND_329_0_CREATELIST_LE(>(x0[0], 0), x0[0])

There are no usable rules.

(9) Complex Obligation (AND)

(10) Obligation:

IDP problem:
The following function symbols are pre-defined:

!=	~	Neq: (Integer, Integer) -> Boolean
*	~	Mul: (Integer, Integer) -> Integer
>=	~	Ge: (Integer, Integer) -> Boolean
-1	~	UnaryMinus: (Integer) -> Integer
\|	~	Bwor: (Integer, Integer) -> Integer
/	~	Div: (Integer, Integer) -> Integer
=	~	Eq: (Integer, Integer) -> Boolean
	~	Bwxor: (Integer, Integer) -> Integer
\|\|	~	Lor: (Boolean, Boolean) -> Boolean
!	~	Lnot: (Boolean) -> Boolean
<	~	Lt: (Integer, Integer) -> Boolean
-	~	Sub: (Integer, Integer) -> Integer
<=	~	Le: (Integer, Integer) -> Boolean
>	~	Gt: (Integer, Integer) -> Boolean
~	~	Bwnot: (Integer) -> Integer
%	~	Mod: (Integer, Integer) -> Integer
&	~	Bwand: (Integer, Integer) -> Integer
+	~	Add: (Integer, Integer) -> Integer
&&	~	Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 329_0_CREATELIST_LE(x0[0]) → COND_329_0_CREATELIST_LE(x0[0] > 0, x0[0])

The set Q is empty.

(11) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(12) TRUE

(13) Obligation:

IDP problem:
The following function symbols are pre-defined:

!=	~	Neq: (Integer, Integer) -> Boolean
*	~	Mul: (Integer, Integer) -> Integer
>=	~	Ge: (Integer, Integer) -> Boolean
-1	~	UnaryMinus: (Integer) -> Integer
\|	~	Bwor: (Integer, Integer) -> Integer
/	~	Div: (Integer, Integer) -> Integer
=	~	Eq: (Integer, Integer) -> Boolean
	~	Bwxor: (Integer, Integer) -> Integer
\|\|	~	Lor: (Boolean, Boolean) -> Boolean
!	~	Lnot: (Boolean) -> Boolean
<	~	Lt: (Integer, Integer) -> Boolean
-	~	Sub: (Integer, Integer) -> Integer
<=	~	Le: (Integer, Integer) -> Boolean
>	~	Gt: (Integer, Integer) -> Boolean
~	~	Bwnot: (Integer) -> Integer
%	~	Mod: (Integer, Integer) -> Integer
&	~	Bwand: (Integer, Integer) -> Integer
+	~	Add: (Integer, Integer) -> Integer
&&	~	Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_329_0_CREATELIST_LE(TRUE, x0[1]) → 329_0_CREATELIST_LE(x0[1] + -1)

The set Q is empty.

(14) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 1 less node.

(15) TRUE

(16) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: AlternatingGrowReduce.AlternatingGrowReduce.main([Ljava/lang/String;)V
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

(17) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 81 rules for P and 0 rules for R.

P rules:
702_0_main_NULL(EOS(STATIC_702), java.lang.Object(o177sub), i84, java.lang.Object(o177sub)) → 704_0_main_NULL(EOS(STATIC_704), java.lang.Object(o177sub), i84, java.lang.Object(o177sub))
704_0_main_NULL(EOS(STATIC_704), java.lang.Object(o177sub), i84, java.lang.Object(o177sub)) → 707_0_main_Load(EOS(STATIC_707), java.lang.Object(o177sub), i84)
707_0_main_Load(EOS(STATIC_707), java.lang.Object(o177sub), i84) → 711_0_main_NE(EOS(STATIC_711), java.lang.Object(o177sub), i84, i84)
711_0_main_NE(EOS(STATIC_711), java.lang.Object(o177sub), i87, i87) → 715_0_main_NE(EOS(STATIC_715), java.lang.Object(o177sub), i87, i87)
711_0_main_NE(EOS(STATIC_711), java.lang.Object(o177sub), matching1, matching2) → 716_0_main_NE(EOS(STATIC_716), java.lang.Object(o177sub), 0, 0) | &&(=(matching1, 0), =(matching2, 0))
715_0_main_NE(EOS(STATIC_715), java.lang.Object(o177sub), i87, i87) → 718_0_main_Load(EOS(STATIC_718), java.lang.Object(o177sub), i87) | >(i87, 0)
718_0_main_Load(EOS(STATIC_718), java.lang.Object(o177sub), i87) → 721_0_main_ConstantStackPush(EOS(STATIC_721), java.lang.Object(o177sub), i87, i87)
721_0_main_ConstantStackPush(EOS(STATIC_721), java.lang.Object(o177sub), i87, i87) → 726_0_main_NE(EOS(STATIC_726), java.lang.Object(o177sub), i87, i87, 1)
726_0_main_NE(EOS(STATIC_726), java.lang.Object(o177sub), matching1, matching2, matching3) → 731_0_main_NE(EOS(STATIC_731), java.lang.Object(o177sub), 1, 1, 1) | &&(&&(=(matching1, 1), =(matching2, 1)), =(matching3, 1))
726_0_main_NE(EOS(STATIC_726), java.lang.Object(o177sub), matching1, matching2, matching3) → 732_0_main_NE(EOS(STATIC_732), java.lang.Object(o177sub), 2, 2, 1) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
731_0_main_NE(EOS(STATIC_731), java.lang.Object(o177sub), matching1, matching2, matching3) → 736_0_main_New(EOS(STATIC_736), java.lang.Object(o177sub), 1) | &&(&&(=(matching1, 1), =(matching2, 1)), =(matching3, 1))
736_0_main_New(EOS(STATIC_736), java.lang.Object(o177sub), matching1) → 743_0_main_Duplicate(EOS(STATIC_743), java.lang.Object(o177sub), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
743_0_main_Duplicate(EOS(STATIC_743), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 751_0_main_Load(EOS(STATIC_751), java.lang.Object(o177sub), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
751_0_main_Load(EOS(STATIC_751), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 759_0_main_InvokeMethod(EOS(STATIC_759), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 1)
759_0_main_InvokeMethod(EOS(STATIC_759), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 764_0_<init>_Load(EOS(STATIC_764), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 1)
764_0_<init>_Load(EOS(STATIC_764), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 778_0_<init>_InvokeMethod(EOS(STATIC_778), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
778_0_<init>_InvokeMethod(EOS(STATIC_778), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 786_0_<init>_Load(EOS(STATIC_786), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 1)
786_0_<init>_Load(EOS(STATIC_786), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 801_0_<init>_Load(EOS(STATIC_801), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
801_0_<init>_Load(EOS(STATIC_801), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 812_0_<init>_FieldAccess(EOS(STATIC_812), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 1)
812_0_<init>_FieldAccess(EOS(STATIC_812), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 820_0_<init>_Return(EOS(STATIC_820), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(o177sub)) | =(matching1, 1)
820_0_<init>_Return(EOS(STATIC_820), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(o177sub)) → 835_0_main_Store(EOS(STATIC_835), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 1)
835_0_main_Store(EOS(STATIC_835), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 845_0_main_JMP(EOS(STATIC_845), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 1) | =(matching1, 1)
845_0_main_JMP(EOS(STATIC_845), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1) → 853_0_main_Inc(EOS(STATIC_853), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 1) | =(matching1, 1)
853_0_main_Inc(EOS(STATIC_853), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1) → 872_0_main_Load(EOS(STATIC_872), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 2) | =(matching1, 1)
872_0_main_Load(EOS(STATIC_872), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1) → 889_0_main_ConstantStackPush(EOS(STATIC_889), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 2, 2) | =(matching1, 2)
889_0_main_ConstantStackPush(EOS(STATIC_889), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1, matching2) → 898_0_main_LE(EOS(STATIC_898), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 2, 2, 2) | &&(=(matching1, 2), =(matching2, 2))
898_0_main_LE(EOS(STATIC_898), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1, matching2, matching3) → 909_0_main_Load(EOS(STATIC_909), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 2))
909_0_main_Load(EOS(STATIC_909), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), matching1) → 697_0_main_Load(EOS(STATIC_697), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), 2) | =(matching1, 2)
697_0_main_Load(EOS(STATIC_697), o170, i84) → 702_0_main_NULL(EOS(STATIC_702), o170, i84, o170)
732_0_main_NE(EOS(STATIC_732), java.lang.Object(o177sub), matching1, matching2, matching3) → 738_0_main_Load(EOS(STATIC_738), java.lang.Object(o177sub), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
738_0_main_Load(EOS(STATIC_738), java.lang.Object(o177sub), matching1) → 745_0_main_ConstantStackPush(EOS(STATIC_745), java.lang.Object(o177sub), 2, 2) | =(matching1, 2)
745_0_main_ConstantStackPush(EOS(STATIC_745), java.lang.Object(o177sub), matching1, matching2) → 753_0_main_LE(EOS(STATIC_753), java.lang.Object(o177sub), 2, 2, 1) | &&(=(matching1, 2), =(matching2, 2))
753_0_main_LE(EOS(STATIC_753), java.lang.Object(o177sub), matching1, matching2, matching3) → 761_0_main_New(EOS(STATIC_761), java.lang.Object(o177sub), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
761_0_main_New(EOS(STATIC_761), java.lang.Object(o177sub), matching1) → 765_0_main_Duplicate(EOS(STATIC_765), java.lang.Object(o177sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
765_0_main_Duplicate(EOS(STATIC_765), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 770_0_main_New(EOS(STATIC_770), java.lang.Object(o177sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
770_0_main_New(EOS(STATIC_770), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 780_0_main_Duplicate(EOS(STATIC_780), java.lang.Object(o177sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
780_0_main_Duplicate(EOS(STATIC_780), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 788_0_main_Load(EOS(STATIC_788), java.lang.Object(o177sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
788_0_main_Load(EOS(STATIC_788), java.lang.Object(o177sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 803_0_main_InvokeMethod(EOS(STATIC_803), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 2)
803_0_main_InvokeMethod(EOS(STATIC_803), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 813_0_<init>_Load(EOS(STATIC_813), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 2)
813_0_<init>_Load(EOS(STATIC_813), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 838_0_<init>_InvokeMethod(EOS(STATIC_838), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
838_0_<init>_InvokeMethod(EOS(STATIC_838), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 848_0_<init>_Load(EOS(STATIC_848), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 2)
848_0_<init>_Load(EOS(STATIC_848), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 856_0_<init>_Load(EOS(STATIC_856), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
856_0_<init>_Load(EOS(STATIC_856), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 875_0_<init>_FieldAccess(EOS(STATIC_875), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) | =(matching1, 2)
875_0_<init>_FieldAccess(EOS(STATIC_875), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o177sub)) → 893_0_<init>_Return(EOS(STATIC_893), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(o177sub)) | =(matching1, 2)
893_0_<init>_Return(EOS(STATIC_893), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(o177sub)) → 899_0_main_InvokeMethod(EOS(STATIC_899), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 2)
899_0_main_InvokeMethod(EOS(STATIC_899), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 911_0_<init>_Load(EOS(STATIC_911), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 2)
911_0_<init>_Load(EOS(STATIC_911), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 933_0_<init>_InvokeMethod(EOS(STATIC_933), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
933_0_<init>_InvokeMethod(EOS(STATIC_933), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 948_0_<init>_Load(EOS(STATIC_948), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 2)
948_0_<init>_Load(EOS(STATIC_948), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 967_0_<init>_Load(EOS(STATIC_967), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
967_0_<init>_Load(EOS(STATIC_967), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 979_0_<init>_FieldAccess(EOS(STATIC_979), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 2)
979_0_<init>_FieldAccess(EOS(STATIC_979), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 990_0_<init>_Return(EOS(STATIC_990), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) | =(matching1, 2)
990_0_<init>_Return(EOS(STATIC_990), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))) → 1004_0_main_Store(EOS(STATIC_1004), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) | =(matching1, 2)
1004_0_main_Store(EOS(STATIC_1004), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) → 1019_0_main_Inc(EOS(STATIC_1019), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 2) | =(matching1, 2)
1019_0_main_Inc(EOS(STATIC_1019), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), matching1) → 1031_0_main_Load(EOS(STATIC_1031), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) | =(matching1, 2)
1031_0_main_Load(EOS(STATIC_1031), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) → 1038_0_main_ConstantStackPush(EOS(STATIC_1038), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))))
1038_0_main_ConstantStackPush(EOS(STATIC_1038), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) → 1049_0_main_LE(EOS(STATIC_1049), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 2)
1049_0_main_LE(EOS(STATIC_1049), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), matching1) → 1057_0_main_ConstantStackPush(EOS(STATIC_1057), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) | =(matching1, 2)
1057_0_main_ConstantStackPush(EOS(STATIC_1057), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub)))))) → 1062_0_main_Store(EOS(STATIC_1062), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 0)
1062_0_main_Store(EOS(STATIC_1062), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), matching1) → 1067_0_main_JMP(EOS(STATIC_1067), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 0) | =(matching1, 0)
1067_0_main_JMP(EOS(STATIC_1067), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), matching1) → 1072_0_main_Load(EOS(STATIC_1072), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 0) | =(matching1, 0)
1072_0_main_Load(EOS(STATIC_1072), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), matching1) → 697_0_main_Load(EOS(STATIC_697), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o177sub))))), 0) | =(matching1, 0)
716_0_main_NE(EOS(STATIC_716), java.lang.Object(o177sub), matching1, matching2) → 720_0_main_Load(EOS(STATIC_720), java.lang.Object(o177sub), 0) | &&(=(matching1, 0), =(matching2, 0))
720_0_main_Load(EOS(STATIC_720), java.lang.Object(o177sub), matching1) → 724_0_main_FieldAccess(EOS(STATIC_724), 0, java.lang.Object(o177sub)) | =(matching1, 0)
724_0_main_FieldAccess(EOS(STATIC_724), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o181))) → 728_0_main_FieldAccess(EOS(STATIC_728), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o181))) | =(matching1, 0)
728_0_main_FieldAccess(EOS(STATIC_728), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o181))) → 734_0_main_FieldAccess(EOS(STATIC_734), 0, o181) | =(matching1, 0)
734_0_main_FieldAccess(EOS(STATIC_734), matching1, java.lang.Object(o183sub)) → 740_0_main_FieldAccess(EOS(STATIC_740), 0, java.lang.Object(o183sub)) | =(matching1, 0)
740_0_main_FieldAccess(EOS(STATIC_740), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) → 747_0_main_FieldAccess(EOS(STATIC_747), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) | =(matching1, 0)
747_0_main_FieldAccess(EOS(STATIC_747), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) → 755_0_main_FieldAccess(EOS(STATIC_755), 0, o186) | =(matching1, 0)
755_0_main_FieldAccess(EOS(STATIC_755), matching1, java.lang.Object(o189sub)) → 762_0_main_FieldAccess(EOS(STATIC_762), 0, java.lang.Object(o189sub)) | =(matching1, 0)
762_0_main_FieldAccess(EOS(STATIC_762), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) → 766_0_main_FieldAccess(EOS(STATIC_766), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) | =(matching1, 0)
766_0_main_FieldAccess(EOS(STATIC_766), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) → 773_0_main_FieldAccess(EOS(STATIC_773), 0, o192) | =(matching1, 0)
773_0_main_FieldAccess(EOS(STATIC_773), matching1, java.lang.Object(o198sub)) → 783_0_main_FieldAccess(EOS(STATIC_783), 0, java.lang.Object(o198sub)) | =(matching1, 0)
783_0_main_FieldAccess(EOS(STATIC_783), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o200))) → 790_0_main_FieldAccess(EOS(STATIC_790), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o200))) | =(matching1, 0)
790_0_main_FieldAccess(EOS(STATIC_790), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o200))) → 805_0_main_Store(EOS(STATIC_805), 0, o200) | =(matching1, 0)
805_0_main_Store(EOS(STATIC_805), matching1, o200) → 816_0_main_JMP(EOS(STATIC_816), o200, 0) | =(matching1, 0)
816_0_main_JMP(EOS(STATIC_816), o200, matching1) → 822_0_main_Inc(EOS(STATIC_822), o200, 0) | =(matching1, 0)
822_0_main_Inc(EOS(STATIC_822), o200, matching1) → 840_0_main_Load(EOS(STATIC_840), o200, 1) | =(matching1, 0)
840_0_main_Load(EOS(STATIC_840), o200, matching1) → 850_0_main_ConstantStackPush(EOS(STATIC_850), o200, 1, 1) | =(matching1, 1)
850_0_main_ConstantStackPush(EOS(STATIC_850), o200, matching1, matching2) → 858_0_main_LE(EOS(STATIC_858), o200, 1, 1) | &&(=(matching1, 1), =(matching2, 1))
858_0_main_LE(EOS(STATIC_858), o200, matching1, matching2) → 880_0_main_Load(EOS(STATIC_880), o200, 1) | &&(=(matching1, 1), =(matching2, 1))
880_0_main_Load(EOS(STATIC_880), o200, matching1) → 697_0_main_Load(EOS(STATIC_697), o200, 1) | =(matching1, 1)
R rules:

Combined rules. Obtained 3 conditional rules for P and 0 conditional rules for R.

P rules:
702_0_main_NULL(EOS(STATIC_702), java.lang.Object(x0), 1, java.lang.Object(x0)) → 702_0_main_NULL(EOS(STATIC_702), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))))
702_0_main_NULL(EOS(STATIC_702), java.lang.Object(x0), 2, java.lang.Object(x0)) → 702_0_main_NULL(EOS(STATIC_702), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))))), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))))))
702_0_main_NULL(EOS(STATIC_702), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, x0)))))))), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, x0))))))))) → 702_0_main_NULL(EOS(STATIC_702), x0, 1, x0)
R rules:

Filtered ground terms:

702_0_main_NULL(x1, x2, x3, x4) → 702_0_main_NULL(x2, x3, x4)
EOS(x1) → EOS
AlternatingGrowReduce.AlternatingGrowReduce(x1, x2) → AlternatingGrowReduce.AlternatingGrowReduce(x2)

Filtered duplicate args:

702_0_main_NULL(x1, x2, x3) → 702_0_main_NULL(x2, x3)

Combined rules. Obtained 3 conditional rules for P and 0 conditional rules for R.

P rules:
702_0_main_NULL(1, java.lang.Object(x0)) → 702_0_main_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))
702_0_main_NULL(2, java.lang.Object(x0)) → 702_0_main_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))))
702_0_main_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0))))))))) → 702_0_main_NULL(1, x0)
R rules:

Finished conversion. Obtained 3 rules for P and 0 rules for R. System has no predefined symbols.

P rules:
702_0_MAIN_NULL(1, java.lang.Object(x0)) → 702_0_MAIN_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))
702_0_MAIN_NULL(2, java.lang.Object(x0)) → 702_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))))
702_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0))))))))) → 702_0_MAIN_NULL(1, x0)
R rules:

(18) Obligation:

IDP problem:
The following function symbols are pre-defined:

!=	~	Neq: (Integer, Integer) -> Boolean
*	~	Mul: (Integer, Integer) -> Integer
>=	~	Ge: (Integer, Integer) -> Boolean
-1	~	UnaryMinus: (Integer) -> Integer
\|	~	Bwor: (Integer, Integer) -> Integer
/	~	Div: (Integer, Integer) -> Integer
=	~	Eq: (Integer, Integer) -> Boolean
	~	Bwxor: (Integer, Integer) -> Integer
\|\|	~	Lor: (Boolean, Boolean) -> Boolean
!	~	Lnot: (Boolean) -> Boolean
<	~	Lt: (Integer, Integer) -> Boolean
-	~	Sub: (Integer, Integer) -> Integer
<=	~	Le: (Integer, Integer) -> Boolean
>	~	Gt: (Integer, Integer) -> Boolean
~	~	Bwnot: (Integer) -> Integer
%	~	Mod: (Integer, Integer) -> Integer
&	~	Bwand: (Integer, Integer) -> Integer
+	~	Add: (Integer, Integer) -> Integer
&&	~	Land: (Boolean, Boolean) -> Boolean

The following domains are used:
none

R is empty.

The integer pair graph contains the following rules and edges:
(0): 702_0_MAIN_NULL(1, java.lang.Object(x0[0])) → 702_0_MAIN_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))))
(1): 702_0_MAIN_NULL(2, java.lang.Object(x0[1])) → 702_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
(2): 702_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2]))))))))) → 702_0_MAIN_NULL(1, x0[2])

(0) -> (0), if (2 →^* 1∧java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))) →^* java.lang.Object(x0[0]'))

(0) -> (1), if java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))) →^* java.lang.Object(x0[1])

(0) -> (2), if (2 →^* 0∧java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))) →^* java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2])))))))))

(1) -> (0), if (0 →^* 1∧java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))) →^* java.lang.Object(x0[0]))

(1) -> (1), if (0 →^* 2∧java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))) →^* java.lang.Object(x0[1]'))

(1) -> (2), if java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))) →^* java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2]))))))))

(2) -> (0), if x0[2] →^* java.lang.Object(x0[0])

(2) -> (1), if (1 →^* 2∧x0[2] →^* java.lang.Object(x0[1]))

(2) -> (2), if (1 →^* 0∧x0[2] →^* java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2]')))))))))

The set Q is empty.

(19) IDPtoQDPProof (SOUND transformation)

Represented integers and predefined function symbols by Terms

(20) Obligation:

Q DP problem:
The TRS P consists of the following rules:

702_0_MAIN_NULL(pos(s(01)), java.lang.Object(x0[0])) → 702_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))))
702_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(x0[1])) → 702_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
702_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2]))))))))) → 702_0_MAIN_NULL(pos(s(01)), x0[2])

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.

(21) QDPOrderProof (EQUIVALENT transformation)

We use the reduction pair processor [LPAR04].

The following pairs can be oriented strictly and are deleted.

702_0_MAIN_NULL(pos(s(01)), java.lang.Object(x0[0])) → 702_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))))

The remaining pairs can at least be oriented weakly.
Used ordering: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) :

POL(702_0_MAIN_NULL(x₁, x₂)) = 0 +
[ 1, 1 ]

· x₁ +
[ 1, 0 ]

· x₂

POL(pos(x₁)) =
/ 0 \

\ 0 /

+
/ 0 1 \

\ 0 1 /

· x₁

POL(s(x₁)) =
/ 0 \

\ 1 /

+
/ 0 0 \

\ 1 0 /

· x₁

POL(01) =
/ 1 \

\ 0 /

POL(java.lang.Object(x₁)) =
/ 0 \

\ 0 /

+
/ 1 0 \

\ 0 0 /

· x₁

POL(AlternatingGrowReduce.AlternatingGrowReduce(x₁)) =
/ 1 \

\ 0 /

+
/ 1 0 \

\ 0 0 /

· x₁

The following usable rules [FROCOS05] were oriented: none

(22) Obligation:

Q DP problem:
The TRS P consists of the following rules:

702_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(x0[1])) → 702_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
702_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(x0[2]))))))))) → 702_0_MAIN_NULL(pos(s(01)), x0[2])

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.

(23) DependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 2 less nodes.

(0) Obligation:

(1) JBCToGraph (SOUND transformation)

(2) Obligation:

(3) TerminationGraphToSCCProof (SOUND transformation)

(4) Complex Obligation (AND)

(5) Obligation:

(6) SCCToIDPv1Proof (SOUND transformation)

(7) Obligation:

(8) IDPNonInfProof (SOUND transformation)

(9) Complex Obligation (AND)

(10) Obligation:

(11) IDependencyGraphProof (EQUIVALENT transformation)

(12) TRUE

(13) Obligation:

(14) IDependencyGraphProof (EQUIVALENT transformation)

(15) TRUE

(16) Obligation:

(17) SCCToIDPv1Proof (SOUND transformation)

(18) Obligation:

(19) IDPtoQDPProof (SOUND transformation)

(20) Obligation:

(21) QDPOrderProof (EQUIVALENT transformation)

(22) Obligation:

(23) DependencyGraphProof (EQUIVALENT transformation)

(24) TRUE