Termination proof of /tmp/tmpxqb_sL/AlternatingGrowReduce.jar

Termination of the given JBC could be proven:

0 JBC

↳1 JBCToGraph (⇒, 260 ms)

↳2 JBCTerminationGraph

↳3 TerminationGraphToSCCProof (⇒, 0 ms)

↳4 AND

    ↳5 JBCTerminationSCC

        ↳6 SCCToIDPv1Proof (⇒, 40 ms)

        ↳7 IDP

        ↳8 IDPNonInfProof (⇒, 210 ms)

        ↳9 AND

            ↳10 IDP

                ↳11 IDependencyGraphProof (⇔, 0 ms)

                ↳12 TRUE

            ↳13 IDP

                ↳14 IDependencyGraphProof (⇔, 0 ms)

                ↳15 TRUE

    ↳16 JBCTerminationSCC

        ↳17 SCCToIDPv1Proof (⇒, 730 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:
342_0_createList_LE(EOS(STATIC_342), i37, i37) → 347_0_createList_LE(EOS(STATIC_347), i37, i37)
347_0_createList_LE(EOS(STATIC_347), i37, i37) → 351_0_createList_New(EOS(STATIC_351), i37) | >(i37, 0)
351_0_createList_New(EOS(STATIC_351), i37) → 359_0_createList_Duplicate(EOS(STATIC_359), i37)
359_0_createList_Duplicate(EOS(STATIC_359), i37) → 364_0_createList_Load(EOS(STATIC_364), i37)
364_0_createList_Load(EOS(STATIC_364), i37) → 371_0_createList_InvokeMethod(EOS(STATIC_371), i37)
371_0_createList_InvokeMethod(EOS(STATIC_371), i37) → 384_0_<init>_Load(EOS(STATIC_384), i37)
384_0_<init>_Load(EOS(STATIC_384), i37) → 391_0_<init>_InvokeMethod(EOS(STATIC_391), i37)
391_0_<init>_InvokeMethod(EOS(STATIC_391), i37) → 393_0_<init>_Load(EOS(STATIC_393), i37)
393_0_<init>_Load(EOS(STATIC_393), i37) → 397_0_<init>_Load(EOS(STATIC_397), i37)
397_0_<init>_Load(EOS(STATIC_397), i37) → 402_0_<init>_FieldAccess(EOS(STATIC_402), i37)
402_0_<init>_FieldAccess(EOS(STATIC_402), i37) → 407_0_<init>_Return(EOS(STATIC_407), i37)
407_0_<init>_Return(EOS(STATIC_407), i37) → 410_0_createList_Store(EOS(STATIC_410), i37)
410_0_createList_Store(EOS(STATIC_410), i37) → 414_0_createList_Inc(EOS(STATIC_414), i37)
414_0_createList_Inc(EOS(STATIC_414), i37) → 418_0_createList_JMP(EOS(STATIC_418), +(i37, -1)) | >(i37, 0)
418_0_createList_JMP(EOS(STATIC_418), i52) → 425_0_createList_Load(EOS(STATIC_425), i52)
425_0_createList_Load(EOS(STATIC_425), i52) → 335_0_createList_Load(EOS(STATIC_335), i52)
335_0_createList_Load(EOS(STATIC_335), i30) → 342_0_createList_LE(EOS(STATIC_342), i30, i30)
R rules:

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

P rules:
342_0_createList_LE(EOS(STATIC_342), x0, x0) → 342_0_createList_LE(EOS(STATIC_342), +(x0, -1), +(x0, -1)) | >(x0, 0)
R rules:

Filtered ground terms:

342_0_createList_LE(x1, x2, x3) → 342_0_createList_LE(x2, x3)
EOS(x1) → EOS
Cond_342_0_createList_LE(x1, x2, x3, x4) → Cond_342_0_createList_LE(x1, x3, x4)

Filtered duplicate args:

342_0_createList_LE(x1, x2) → 342_0_createList_LE(x2)
Cond_342_0_createList_LE(x1, x2, x3) → Cond_342_0_createList_LE(x1, x3)

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

P rules:
342_0_createList_LE(x0) → 342_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:
342_0_CREATELIST_LE(x0) → COND_342_0_CREATELIST_LE(>(x0, 0), x0)
COND_342_0_CREATELIST_LE(TRUE, x0) → 342_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): 342_0_CREATELIST_LE(x0[0]) → COND_342_0_CREATELIST_LE(x0[0] > 0, x0[0])
(1): COND_342_0_CREATELIST_LE(TRUE, x0[1]) → 342_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@315512c0 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 342_0_CREATELIST_LE(x0) → COND_342_0_CREATELIST_LE(>(x0, 0), x0) the following chains were created:

We consider the chain 342_0_CREATELIST_LE(x0[0]) → COND_342_0_CREATELIST_LE(>(x0[0], 0), x0[0]), COND_342_0_CREATELIST_LE(TRUE, x0[1]) → 342_0_CREATELIST_LE(+(x0[1], -1)) which results in the following constraint:
(1)    (>(x0[0], 0)=TRUE∧x0[0]=x0[1] ⇒ 342_0_CREATELIST_LE(x0[0])≥NonInfC∧342_0_CREATELIST_LE(x0[0])≥COND_342_0_CREATELIST_LE(>(x0[0], 0), x0[0])∧(U^Increasing(COND_342_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 ⇒ 342_0_CREATELIST_LE(x0[0])≥NonInfC∧342_0_CREATELIST_LE(x0[0])≥COND_342_0_CREATELIST_LE(>(x0[0], 0), x0[0])∧(U^Increasing(COND_342_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_342_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_342_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_342_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_342_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_342_0_CREATELIST_LE(TRUE, x0) → 342_0_CREATELIST_LE(+(x0, -1)) the following chains were created:

We consider the chain COND_342_0_CREATELIST_LE(TRUE, x0[1]) → 342_0_CREATELIST_LE(+(x0[1], -1)) which results in the following constraint:
(7)    (COND_342_0_CREATELIST_LE(TRUE, x0[1])≥NonInfC∧COND_342_0_CREATELIST_LE(TRUE, x0[1])≥342_0_CREATELIST_LE(+(x0[1], -1))∧(U^Increasing(342_0_CREATELIST_LE(+(x0[1], -1))), ≥))

We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:
(8)    ((U^Increasing(342_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(342_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(342_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(342_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.

342_0_CREATELIST_LE(x0) → COND_342_0_CREATELIST_LE(>(x0, 0), x0)
- (x0[0] ≥ 0 ⇒ (U^Increasing(COND_342_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_342_0_CREATELIST_LE(TRUE, x0) → 342_0_CREATELIST_LE(+(x0, -1))
- ((U^Increasing(342_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(342_0_CREATELIST_LE(x₁)) = [2]x₁
POL(COND_342_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_342_0_CREATELIST_LE(TRUE, x0[1]) → 342_0_CREATELIST_LE(+(x0[1], -1))

The following pairs are in P_bound:

342_0_CREATELIST_LE(x0[0]) → COND_342_0_CREATELIST_LE(>(x0[0], 0), x0[0])

The following pairs are in P_≥:

342_0_CREATELIST_LE(x0[0]) → COND_342_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): 342_0_CREATELIST_LE(x0[0]) → COND_342_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_342_0_CREATELIST_LE(TRUE, x0[1]) → 342_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:
680_0_main_NULL(EOS(STATIC_680), java.lang.Object(o176sub), i82, java.lang.Object(o176sub)) → 682_0_main_NULL(EOS(STATIC_682), java.lang.Object(o176sub), i82, java.lang.Object(o176sub))
682_0_main_NULL(EOS(STATIC_682), java.lang.Object(o176sub), i82, java.lang.Object(o176sub)) → 685_0_main_Load(EOS(STATIC_685), java.lang.Object(o176sub), i82)
685_0_main_Load(EOS(STATIC_685), java.lang.Object(o176sub), i82) → 689_0_main_NE(EOS(STATIC_689), java.lang.Object(o176sub), i82, i82)
689_0_main_NE(EOS(STATIC_689), java.lang.Object(o176sub), i86, i86) → 693_0_main_NE(EOS(STATIC_693), java.lang.Object(o176sub), i86, i86)
689_0_main_NE(EOS(STATIC_689), java.lang.Object(o176sub), matching1, matching2) → 694_0_main_NE(EOS(STATIC_694), java.lang.Object(o176sub), 0, 0) | &&(=(matching1, 0), =(matching2, 0))
693_0_main_NE(EOS(STATIC_693), java.lang.Object(o176sub), i86, i86) → 695_0_main_Load(EOS(STATIC_695), java.lang.Object(o176sub), i86) | >(i86, 0)
695_0_main_Load(EOS(STATIC_695), java.lang.Object(o176sub), i86) → 700_0_main_ConstantStackPush(EOS(STATIC_700), java.lang.Object(o176sub), i86, i86)
700_0_main_ConstantStackPush(EOS(STATIC_700), java.lang.Object(o176sub), i86, i86) → 705_0_main_NE(EOS(STATIC_705), java.lang.Object(o176sub), i86, i86, 1)
705_0_main_NE(EOS(STATIC_705), java.lang.Object(o176sub), matching1, matching2, matching3) → 709_0_main_NE(EOS(STATIC_709), java.lang.Object(o176sub), 1, 1, 1) | &&(&&(=(matching1, 1), =(matching2, 1)), =(matching3, 1))
705_0_main_NE(EOS(STATIC_705), java.lang.Object(o176sub), matching1, matching2, matching3) → 710_0_main_NE(EOS(STATIC_710), java.lang.Object(o176sub), 2, 2, 1) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
709_0_main_NE(EOS(STATIC_709), java.lang.Object(o176sub), matching1, matching2, matching3) → 714_0_main_New(EOS(STATIC_714), java.lang.Object(o176sub), 1) | &&(&&(=(matching1, 1), =(matching2, 1)), =(matching3, 1))
714_0_main_New(EOS(STATIC_714), java.lang.Object(o176sub), matching1) → 722_0_main_Duplicate(EOS(STATIC_722), java.lang.Object(o176sub), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
722_0_main_Duplicate(EOS(STATIC_722), java.lang.Object(o176sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 728_0_main_Load(EOS(STATIC_728), java.lang.Object(o176sub), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
728_0_main_Load(EOS(STATIC_728), java.lang.Object(o176sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 736_0_main_InvokeMethod(EOS(STATIC_736), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 1)
736_0_main_InvokeMethod(EOS(STATIC_736), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 743_0_<init>_Load(EOS(STATIC_743), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 1)
743_0_<init>_Load(EOS(STATIC_743), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 761_0_<init>_InvokeMethod(EOS(STATIC_761), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
761_0_<init>_InvokeMethod(EOS(STATIC_761), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 769_0_<init>_Load(EOS(STATIC_769), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 1)
769_0_<init>_Load(EOS(STATIC_769), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 783_0_<init>_Load(EOS(STATIC_783), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 1)
783_0_<init>_Load(EOS(STATIC_783), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 789_0_<init>_FieldAccess(EOS(STATIC_789), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 1)
789_0_<init>_FieldAccess(EOS(STATIC_789), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 796_0_<init>_Return(EOS(STATIC_796), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(o176sub)) | =(matching1, 1)
796_0_<init>_Return(EOS(STATIC_796), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(o176sub)) → 812_0_main_Store(EOS(STATIC_812), 1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 1)
812_0_main_Store(EOS(STATIC_812), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 824_0_main_JMP(EOS(STATIC_824), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 1) | =(matching1, 1)
824_0_main_JMP(EOS(STATIC_824), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1) → 832_0_main_Inc(EOS(STATIC_832), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 1) | =(matching1, 1)
832_0_main_Inc(EOS(STATIC_832), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1) → 851_0_main_Load(EOS(STATIC_851), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 2) | =(matching1, 1)
851_0_main_Load(EOS(STATIC_851), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1) → 864_0_main_ConstantStackPush(EOS(STATIC_864), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 2, 2) | =(matching1, 2)
864_0_main_ConstantStackPush(EOS(STATIC_864), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1, matching2) → 874_0_main_LE(EOS(STATIC_874), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 2, 2, 2) | &&(=(matching1, 2), =(matching2, 2))
874_0_main_LE(EOS(STATIC_874), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1, matching2, matching3) → 891_0_main_Load(EOS(STATIC_891), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 2))
891_0_main_Load(EOS(STATIC_891), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), matching1) → 674_0_main_Load(EOS(STATIC_674), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), 2) | =(matching1, 2)
674_0_main_Load(EOS(STATIC_674), o170, i82) → 680_0_main_NULL(EOS(STATIC_680), o170, i82, o170)
710_0_main_NE(EOS(STATIC_710), java.lang.Object(o176sub), matching1, matching2, matching3) → 716_0_main_Load(EOS(STATIC_716), java.lang.Object(o176sub), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
716_0_main_Load(EOS(STATIC_716), java.lang.Object(o176sub), matching1) → 723_0_main_ConstantStackPush(EOS(STATIC_723), java.lang.Object(o176sub), 2, 2) | =(matching1, 2)
723_0_main_ConstantStackPush(EOS(STATIC_723), java.lang.Object(o176sub), matching1, matching2) → 730_0_main_LE(EOS(STATIC_730), java.lang.Object(o176sub), 2, 2, 1) | &&(=(matching1, 2), =(matching2, 2))
730_0_main_LE(EOS(STATIC_730), java.lang.Object(o176sub), matching1, matching2, matching3) → 738_0_main_New(EOS(STATIC_738), java.lang.Object(o176sub), 2) | &&(&&(=(matching1, 2), =(matching2, 2)), =(matching3, 1))
738_0_main_New(EOS(STATIC_738), java.lang.Object(o176sub), matching1) → 745_0_main_Duplicate(EOS(STATIC_745), java.lang.Object(o176sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
745_0_main_Duplicate(EOS(STATIC_745), java.lang.Object(o176sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 753_0_main_New(EOS(STATIC_753), java.lang.Object(o176sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
753_0_main_New(EOS(STATIC_753), java.lang.Object(o176sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 764_0_main_Duplicate(EOS(STATIC_764), java.lang.Object(o176sub), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
764_0_main_Duplicate(EOS(STATIC_764), java.lang.Object(o176sub), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 771_0_main_Load(EOS(STATIC_771), java.lang.Object(o176sub), 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)
771_0_main_Load(EOS(STATIC_771), java.lang.Object(o176sub), 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))) → 784_0_main_InvokeMethod(EOS(STATIC_784), 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(o176sub)) | =(matching1, 2)
784_0_main_InvokeMethod(EOS(STATIC_784), 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(o176sub)) → 790_0_<init>_Load(EOS(STATIC_790), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 2)
790_0_<init>_Load(EOS(STATIC_790), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 815_0_<init>_InvokeMethod(EOS(STATIC_815), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
815_0_<init>_InvokeMethod(EOS(STATIC_815), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 827_0_<init>_Load(EOS(STATIC_827), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 2)
827_0_<init>_Load(EOS(STATIC_827), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 835_0_<init>_Load(EOS(STATIC_835), 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(o176sub), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
835_0_<init>_Load(EOS(STATIC_835), 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(o176sub), java.lang.Object(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 854_0_<init>_FieldAccess(EOS(STATIC_854), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) | =(matching1, 2)
854_0_<init>_FieldAccess(EOS(STATIC_854), 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(o176sub), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(o176sub)) → 868_0_<init>_Return(EOS(STATIC_868), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(o176sub)) | =(matching1, 2)
868_0_<init>_Return(EOS(STATIC_868), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(o176sub)) → 876_0_main_InvokeMethod(EOS(STATIC_876), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 2)
876_0_main_InvokeMethod(EOS(STATIC_876), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 893_0_<init>_Load(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(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 2)
893_0_<init>_Load(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(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 910_0_<init>_InvokeMethod(EOS(STATIC_910), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
910_0_<init>_InvokeMethod(EOS(STATIC_910), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 924_0_<init>_Load(EOS(STATIC_924), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 2)
924_0_<init>_Load(EOS(STATIC_924), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 942_0_<init>_Load(EOS(STATIC_942), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) | =(matching1, 2)
942_0_<init>_Load(EOS(STATIC_942), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL))) → 957_0_<init>_FieldAccess(EOS(STATIC_957), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 2)
957_0_<init>_FieldAccess(EOS(STATIC_957), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, NULL)), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 973_0_<init>_Return(EOS(STATIC_973), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) | =(matching1, 2)
973_0_<init>_Return(EOS(STATIC_973), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))) → 988_0_main_Store(EOS(STATIC_988), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) | =(matching1, 2)
988_0_main_Store(EOS(STATIC_988), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) → 1000_0_main_Inc(EOS(STATIC_1000), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 2) | =(matching1, 2)
1000_0_main_Inc(EOS(STATIC_1000), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), matching1) → 1014_0_main_Load(EOS(STATIC_1014), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) | =(matching1, 2)
1014_0_main_Load(EOS(STATIC_1014), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) → 1024_0_main_ConstantStackPush(EOS(STATIC_1024), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))))
1024_0_main_ConstantStackPush(EOS(STATIC_1024), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) → 1035_0_main_LE(EOS(STATIC_1035), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 2)
1035_0_main_LE(EOS(STATIC_1035), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), matching1) → 1040_0_main_ConstantStackPush(EOS(STATIC_1040), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) | =(matching1, 2)
1040_0_main_ConstantStackPush(EOS(STATIC_1040), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub)))))) → 1042_0_main_Store(EOS(STATIC_1042), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 0)
1042_0_main_Store(EOS(STATIC_1042), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), matching1) → 1045_0_main_JMP(EOS(STATIC_1045), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 0) | =(matching1, 0)
1045_0_main_JMP(EOS(STATIC_1045), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), matching1) → 1050_0_main_Load(EOS(STATIC_1050), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 0) | =(matching1, 0)
1050_0_main_Load(EOS(STATIC_1050), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), matching1) → 674_0_main_Load(EOS(STATIC_674), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(o176sub))))), 0) | =(matching1, 0)
694_0_main_NE(EOS(STATIC_694), java.lang.Object(o176sub), matching1, matching2) → 698_0_main_Load(EOS(STATIC_698), java.lang.Object(o176sub), 0) | &&(=(matching1, 0), =(matching2, 0))
698_0_main_Load(EOS(STATIC_698), java.lang.Object(o176sub), matching1) → 702_0_main_FieldAccess(EOS(STATIC_702), 0, java.lang.Object(o176sub)) | =(matching1, 0)
702_0_main_FieldAccess(EOS(STATIC_702), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o180))) → 707_0_main_FieldAccess(EOS(STATIC_707), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o180))) | =(matching1, 0)
707_0_main_FieldAccess(EOS(STATIC_707), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o180))) → 712_0_main_FieldAccess(EOS(STATIC_712), 0, o180) | =(matching1, 0)
712_0_main_FieldAccess(EOS(STATIC_712), matching1, java.lang.Object(o183sub)) → 719_0_main_FieldAccess(EOS(STATIC_719), 0, java.lang.Object(o183sub)) | =(matching1, 0)
719_0_main_FieldAccess(EOS(STATIC_719), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) → 724_0_main_FieldAccess(EOS(STATIC_724), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) | =(matching1, 0)
724_0_main_FieldAccess(EOS(STATIC_724), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o186))) → 732_0_main_FieldAccess(EOS(STATIC_732), 0, o186) | =(matching1, 0)
732_0_main_FieldAccess(EOS(STATIC_732), matching1, java.lang.Object(o189sub)) → 740_0_main_FieldAccess(EOS(STATIC_740), 0, java.lang.Object(o189sub)) | =(matching1, 0)
740_0_main_FieldAccess(EOS(STATIC_740), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) → 747_0_main_FieldAccess(EOS(STATIC_747), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) | =(matching1, 0)
747_0_main_FieldAccess(EOS(STATIC_747), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o192))) → 756_0_main_FieldAccess(EOS(STATIC_756), 0, o192) | =(matching1, 0)
756_0_main_FieldAccess(EOS(STATIC_756), matching1, java.lang.Object(o197sub)) → 766_0_main_FieldAccess(EOS(STATIC_766), 0, java.lang.Object(o197sub)) | =(matching1, 0)
766_0_main_FieldAccess(EOS(STATIC_766), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o199))) → 773_0_main_FieldAccess(EOS(STATIC_773), 0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o199))) | =(matching1, 0)
773_0_main_FieldAccess(EOS(STATIC_773), matching1, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, o199))) → 785_0_main_Store(EOS(STATIC_785), 0, o199) | =(matching1, 0)
785_0_main_Store(EOS(STATIC_785), matching1, o199) → 792_0_main_JMP(EOS(STATIC_792), o199, 0) | =(matching1, 0)
792_0_main_JMP(EOS(STATIC_792), o199, matching1) → 798_0_main_Inc(EOS(STATIC_798), o199, 0) | =(matching1, 0)
798_0_main_Inc(EOS(STATIC_798), o199, matching1) → 817_0_main_Load(EOS(STATIC_817), o199, 1) | =(matching1, 0)
817_0_main_Load(EOS(STATIC_817), o199, matching1) → 828_0_main_ConstantStackPush(EOS(STATIC_828), o199, 1, 1) | =(matching1, 1)
828_0_main_ConstantStackPush(EOS(STATIC_828), o199, matching1, matching2) → 837_0_main_LE(EOS(STATIC_837), o199, 1, 1) | &&(=(matching1, 1), =(matching2, 1))
837_0_main_LE(EOS(STATIC_837), o199, matching1, matching2) → 855_0_main_Load(EOS(STATIC_855), o199, 1) | &&(=(matching1, 1), =(matching2, 1))
855_0_main_Load(EOS(STATIC_855), o199, matching1) → 674_0_main_Load(EOS(STATIC_674), o199, 1) | =(matching1, 1)
R rules:

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

P rules:
680_0_main_NULL(EOS(STATIC_680), java.lang.Object(x0), 1, java.lang.Object(x0)) → 680_0_main_NULL(EOS(STATIC_680), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))), 2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(EOC, java.lang.Object(x0))))
680_0_main_NULL(EOS(STATIC_680), java.lang.Object(x0), 2, java.lang.Object(x0)) → 680_0_main_NULL(EOS(STATIC_680), 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))))))
680_0_main_NULL(EOS(STATIC_680), 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))))))))) → 680_0_main_NULL(EOS(STATIC_680), x0, 1, x0)
R rules:

Filtered ground terms:

680_0_main_NULL(x1, x2, x3, x4) → 680_0_main_NULL(x2, x3, x4)
EOS(x1) → EOS
AlternatingGrowReduce.AlternatingGrowReduce(x1, x2) → AlternatingGrowReduce.AlternatingGrowReduce(x2)

Filtered duplicate args:

680_0_main_NULL(x1, x2, x3) → 680_0_main_NULL(x2, x3)

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

P rules:
680_0_main_NULL(1, java.lang.Object(x0)) → 680_0_main_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))
680_0_main_NULL(2, java.lang.Object(x0)) → 680_0_main_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))))
680_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))))))))) → 680_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:
680_0_MAIN_NULL(1, java.lang.Object(x0)) → 680_0_MAIN_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))
680_0_MAIN_NULL(2, java.lang.Object(x0)) → 680_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0))))))
680_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))))))))) → 680_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): 680_0_MAIN_NULL(1, java.lang.Object(x0[0])) → 680_0_MAIN_NULL(2, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))))
(1): 680_0_MAIN_NULL(2, java.lang.Object(x0[1])) → 680_0_MAIN_NULL(0, java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
(2): 680_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]))))))))) → 680_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:

680_0_MAIN_NULL(pos(s(01)), java.lang.Object(x0[0])) → 680_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[0]))))
680_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(x0[1])) → 680_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
680_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]))))))))) → 680_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.

680_0_MAIN_NULL(pos(s(01)), java.lang.Object(x0[0])) → 680_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(680_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:

680_0_MAIN_NULL(pos(s(s(01))), java.lang.Object(x0[1])) → 680_0_MAIN_NULL(pos(01), java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(AlternatingGrowReduce.AlternatingGrowReduce(java.lang.Object(x0[1]))))))
680_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]))))))))) → 680_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