(0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_22 (Sun Microsystems Inc.) Main-Class: QuicksortRec/QuicksortRec
package QuicksortRec;

public class List {

int value;
List next;

public List() {}

public List(int value, List next) {
this.value = value;
this.next = next;
}

public static List copy(List x) {
if (x == null) return null;
else return new List(x.value,copy(x.next));
}

public static String print(List t){
if (t == null) return "";
else return t.value + " " + print(t.next);
}
}


package QuicksortRec;
public class QuicksortRec {
public static List append(List xs, List ys) {
if (xs == null) return ys;
else return append(xs.next, ys);
}

public static List sortedLow(List xs, int n){
if (xs == null) {
return null;
} else if (xs.value <= n) {
return quicksort(new List(xs.value, sortedLow(xs.next,n)));
} else {
return sortedLow(xs.next,n);
}
}

public static List sortedHigh(List xs, int n){
if (xs == null) {
return null;
} else if (xs.value > n) {
return quicksort(new List(xs.value, sortedHigh(xs.next,n)));
} else {
return sortedHigh(xs.next,n);
}
}

public static List quicksort(List xs){
if (xs == null) {
return null;
} else {
List lows = sortedLow(xs.next,xs.value);
List highs = sortedHigh(xs.next,xs.value);
return append(lows,highs);
}
}

public static void main(String[] args) {
Random.args = args;
List xs = createList(Random.random());
List ys = quicksort(xs);
}


public static List createList(int l) {
if (l <= 0) {
return null;
} else {
return new List(Random.random(), createList(l-1));
}
}
}


package QuicksortRec;

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

public static int random() {
if (args.length <= index) {
return 0;
}
String string = args[index];
index++;
if (string == null) {
return 0;
}
return string.length();
}
}


(1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

(2) Obligation:

Termination Graph based on JBC Program:
QuicksortRec.QuicksortRec.main([Ljava/lang/String;)V: Graph of 118 nodes with 0 SCCs.

QuicksortRec.QuicksortRec.createList(I)LQuicksortRec/List;: Graph of 148 nodes with 0 SCCs.

QuicksortRec.QuicksortRec.quicksort(LQuicksortRec/List;)LQuicksortRec/List;: Graph of 67 nodes with 0 SCCs.

QuicksortRec.QuicksortRec.sortedLow(LQuicksortRec/List;I)LQuicksortRec/List;: Graph of 88 nodes with 0 SCCs.

QuicksortRec.QuicksortRec.sortedHigh(LQuicksortRec/List;I)LQuicksortRec/List;: Graph of 88 nodes with 0 SCCs.

QuicksortRec.QuicksortRec.append(LQuicksortRec/List;LQuicksortRec/List;)LQuicksortRec/List;: Graph of 5 nodes with 0 SCCs.


(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: QuicksortRec.QuicksortRec.quicksort(LQuicksortRec/List;)LQuicksortRec/List;, QuicksortRec.QuicksortRec.sortedLow(LQuicksortRec/List;I)LQuicksortRec/List;, QuicksortRec.QuicksortRec.sortedHigh(LQuicksortRec/List;I)LQuicksortRec/List;
SCC calls the following helper methods: QuicksortRec.QuicksortRec.quicksort(LQuicksortRec/List;)LQuicksortRec/List;, QuicksortRec.QuicksortRec.sortedLow(LQuicksortRec/List;I)LQuicksortRec/List;, QuicksortRec.QuicksortRec.sortedHigh(LQuicksortRec/List;I)LQuicksortRec/List;, QuicksortRec.QuicksortRec.append(LQuicksortRec/List;LQuicksortRec/List;)LQuicksortRec/List;
Performed SCC analyses: UsedFieldsAnalysis

(6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 186 rules for P and 81 rules for R.


P rules:
2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(o1250sub), java.lang.Object(o1250sub)) → 2229_0_quicksort_NONNULL(EOS(STATIC_2229), java.lang.Object(o1250sub), java.lang.Object(o1250sub))
2229_0_quicksort_NONNULL(EOS(STATIC_2229), java.lang.Object(o1250sub), java.lang.Object(o1250sub)) → 2247_0_quicksort_Load(EOS(STATIC_2247), java.lang.Object(o1250sub))
2247_0_quicksort_Load(EOS(STATIC_2247), java.lang.Object(o1250sub)) → 2258_0_quicksort_FieldAccess(EOS(STATIC_2258), java.lang.Object(o1250sub), java.lang.Object(o1250sub))
2258_0_quicksort_FieldAccess(EOS(STATIC_2258), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240))) → 2270_0_quicksort_FieldAccess(EOS(STATIC_2270), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)))
2270_0_quicksort_FieldAccess(EOS(STATIC_2270), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240))) → 2278_0_quicksort_Load(EOS(STATIC_2278), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306)
2278_0_quicksort_Load(EOS(STATIC_2278), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306) → 2298_0_quicksort_FieldAccess(EOS(STATIC_2298), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306, java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)))
2298_0_quicksort_FieldAccess(EOS(STATIC_2298), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306, java.lang.Object(QuicksortRec.List(EOC, o1306, i1240))) → 2332_0_quicksort_InvokeMethod(EOS(STATIC_2332), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306, i1240)
2332_0_quicksort_InvokeMethod(EOS(STATIC_2332), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306, i1240) → 2337_1_quicksort_InvokeMethod(2337_0_sortedLow_Load(EOS(STATIC_2337), o1306, i1240), java.lang.Object(QuicksortRec.List(EOC, o1306, i1240)), o1306, i1240)
2337_0_sortedLow_Load(EOS(STATIC_2337), o1306, i1240) → 2343_0_sortedLow_Load(EOS(STATIC_2343), o1306, i1240)
2337_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, i1366, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, i1366) → 2398_0_sortedLow_Return(EOS(STATIC_2398), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, i1366, NULL, i1366, NULL)
2337_1_quicksort_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408) → 2472_0_sortedLow_Return(EOS(STATIC_2472), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408, NULL)
2337_1_quicksort_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478) → 2564_0_sortedLow_Return(EOS(STATIC_2564), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478, NULL)
2337_1_quicksort_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633) → 2761_0_sortedLow_Return(EOS(STATIC_2761), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, NULL)
2337_1_quicksort_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719) → 2838_0_sortedLow_Return(EOS(STATIC_2838), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719, NULL)
2337_1_quicksort_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944) → 3051_0_sortedLow_Return(EOS(STATIC_3051), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, NULL)
2343_0_sortedLow_Load(EOS(STATIC_2343), o1306, i1240) → 2355_0_sortedLow_Load(EOS(STATIC_2355), o1306, i1240)
2355_0_sortedLow_Load(EOS(STATIC_2355), o1385, i1323) → 2362_0_sortedLow_NONNULL(EOS(STATIC_2362), o1385, i1323, o1385)
2362_0_sortedLow_NONNULL(EOS(STATIC_2362), java.lang.Object(o1400sub), i1323, java.lang.Object(o1400sub)) → 2365_0_sortedLow_NONNULL(EOS(STATIC_2365), java.lang.Object(o1400sub), i1323, java.lang.Object(o1400sub))
2365_0_sortedLow_NONNULL(EOS(STATIC_2365), java.lang.Object(o1400sub), i1323, java.lang.Object(o1400sub)) → 2372_0_sortedLow_Load(EOS(STATIC_2372), java.lang.Object(o1400sub), i1323)
2372_0_sortedLow_Load(EOS(STATIC_2372), java.lang.Object(o1400sub), i1323) → 2379_0_sortedLow_FieldAccess(EOS(STATIC_2379), java.lang.Object(o1400sub), i1323, java.lang.Object(o1400sub))
2379_0_sortedLow_FieldAccess(EOS(STATIC_2379), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) → 2387_0_sortedLow_FieldAccess(EOS(STATIC_2387), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)))
2387_0_sortedLow_FieldAccess(EOS(STATIC_2387), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) → 2392_0_sortedLow_Load(EOS(STATIC_2392), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361)
2392_0_sortedLow_Load(EOS(STATIC_2392), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361) → 2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323)
2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323) → 2402_0_sortedLow_GT(EOS(STATIC_2402), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323)
2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323) → 2403_0_sortedLow_GT(EOS(STATIC_2403), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323)
2402_0_sortedLow_GT(EOS(STATIC_2402), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323) → 2406_0_sortedLow_Load(EOS(STATIC_2406), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323) | >(i1361, i1323)
2406_0_sortedLow_Load(EOS(STATIC_2406), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323) → 2415_0_sortedLow_FieldAccess(EOS(STATIC_2415), i1323, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)))
2415_0_sortedLow_FieldAccess(EOS(STATIC_2415), i1323, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) → 2427_0_sortedLow_Load(EOS(STATIC_2427), i1323, o1428)
2427_0_sortedLow_Load(EOS(STATIC_2427), i1323, o1428) → 2431_0_sortedLow_InvokeMethod(EOS(STATIC_2431), o1428, i1323)
2431_0_sortedLow_InvokeMethod(EOS(STATIC_2431), o1428, i1323) → 2434_1_sortedLow_InvokeMethod(2434_0_sortedLow_Load(EOS(STATIC_2434), o1428, i1323), o1428, i1323)
2434_0_sortedLow_Load(EOS(STATIC_2434), o1428, i1323) → 2438_0_sortedLow_Load(EOS(STATIC_2438), o1428, i1323)
2438_0_sortedLow_Load(EOS(STATIC_2438), o1428, i1323) → 2355_0_sortedLow_Load(EOS(STATIC_2355), o1428, i1323)
2403_0_sortedLow_GT(EOS(STATIC_2403), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, i1361, i1323) → 2408_0_sortedLow_New(EOS(STATIC_2408), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323) | <=(i1361, i1323)
2408_0_sortedLow_New(EOS(STATIC_2408), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323) → 2416_0_sortedLow_Duplicate(EOS(STATIC_2416), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)))
2416_0_sortedLow_Duplicate(EOS(STATIC_2416), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1))) → 2428_0_sortedLow_Load(EOS(STATIC_2428), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | =(matching1, 0)
2428_0_sortedLow_Load(EOS(STATIC_2428), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2))) → 2432_0_sortedLow_FieldAccess(EOS(STATIC_2432), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) | &&(=(matching1, 0), =(matching2, 0))
2432_0_sortedLow_FieldAccess(EOS(STATIC_2432), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) → 2436_0_sortedLow_Load(EOS(STATIC_2436), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361) | &&(=(matching1, 0), =(matching2, 0))
2436_0_sortedLow_Load(EOS(STATIC_2436), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361) → 2439_0_sortedLow_FieldAccess(EOS(STATIC_2439), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) | &&(=(matching1, 0), =(matching2, 0))
2439_0_sortedLow_FieldAccess(EOS(STATIC_2439), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, o1428, i1361))) → 2442_0_sortedLow_Load(EOS(STATIC_2442), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, o1428) | &&(=(matching1, 0), =(matching2, 0))
2442_0_sortedLow_Load(EOS(STATIC_2442), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, o1428) → 2447_0_sortedLow_InvokeMethod(EOS(STATIC_2447), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, o1428, i1323) | &&(=(matching1, 0), =(matching2, 0))
2447_0_sortedLow_InvokeMethod(EOS(STATIC_2447), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, o1428, i1323) → 2450_1_sortedLow_InvokeMethod(2450_0_sortedLow_Load(EOS(STATIC_2450), o1428, i1323), java.lang.Object(QuicksortRec.List(EOC, o1428, i1361)), i1323, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, o1428, i1323) | &&(=(matching1, 0), =(matching2, 0))
2450_0_sortedLow_Load(EOS(STATIC_2450), o1428, i1323) → 2456_0_sortedLow_Load(EOS(STATIC_2456), o1428, i1323)
2450_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, i1419, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, i1419) → 2474_0_sortedLow_Return(EOS(STATIC_2474), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, i1419, NULL, i1419, NULL) | &&(=(matching1, 0), =(matching2, 0))
2450_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1361)), i1424, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1424) → 2475_0_sortedLow_Return(EOS(STATIC_2475), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1361)), i1424, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1424, NULL) | &&(=(matching1, 0), =(matching2, 0))
2450_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1361)), i1490, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1490) → 2570_0_sortedLow_Return(EOS(STATIC_2570), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1361)), i1490, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1490, NULL) | &&(=(matching1, 0), =(matching2, 0))
2450_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1361)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641) → 2763_0_sortedLow_Return(EOS(STATIC_2763), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1361)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, NULL) | &&(=(matching1, 0), =(matching2, 0))
2450_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1361)), i1731, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1731) → 2845_0_sortedLow_Return(EOS(STATIC_2845), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1361)), i1731, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1731, NULL) | &&(=(matching1, 0), =(matching2, 0))
2450_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1361)), i1954, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954) → 3060_0_sortedLow_Return(EOS(STATIC_3060), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1361)), i1954, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, NULL) | &&(=(matching1, 0), =(matching2, 0))
2456_0_sortedLow_Load(EOS(STATIC_2456), o1428, i1323) → 2355_0_sortedLow_Load(EOS(STATIC_2355), o1428, i1323)
2474_0_sortedLow_Return(EOS(STATIC_2474), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, i1419, NULL, i1419, NULL) → 2483_0_sortedLow_InvokeMethod(EOS(STATIC_2483), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2483_0_sortedLow_InvokeMethod(EOS(STATIC_2483), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL) → 2491_0_<init>_Load(EOS(STATIC_2491), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2491_0_<init>_Load(EOS(STATIC_2491), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL) → 2524_0_<init>_InvokeMethod(EOS(STATIC_2524), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2524_0_<init>_InvokeMethod(EOS(STATIC_2524), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2534_0_<init>_Load(EOS(STATIC_2534), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2534_0_<init>_Load(EOS(STATIC_2534), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL) → 2543_0_<init>_Load(EOS(STATIC_2543), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2543_0_<init>_Load(EOS(STATIC_2543), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2555_0_<init>_FieldAccess(EOS(STATIC_2555), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2555_0_<init>_FieldAccess(EOS(STATIC_2555), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4)), i1361) → 2573_0_<init>_Load(EOS(STATIC_2573), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2573_0_<init>_Load(EOS(STATIC_2573), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) → 2581_0_<init>_Load(EOS(STATIC_2581), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2581_0_<init>_Load(EOS(STATIC_2581), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2589_0_<init>_FieldAccess(EOS(STATIC_2589), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL)
2589_0_<init>_FieldAccess(EOS(STATIC_2589), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) → 2596_0_<init>_Return(EOS(STATIC_2596), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL)
2596_0_<init>_Return(EOS(STATIC_2596), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL) → 2603_0_sortedLow_InvokeMethod(EOS(STATIC_2603), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2603_0_sortedLow_InvokeMethod(EOS(STATIC_2603), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2610_1_sortedLow_InvokeMethod(2610_0_quicksort_Load(EOS(STATIC_2610), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2610_0_quicksort_Load(EOS(STATIC_2610), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2618_0_quicksort_Load(EOS(STATIC_2618), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2618_0_quicksort_Load(EOS(STATIC_2618), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2631_0_quicksort_Load(EOS(STATIC_2631), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2631_0_quicksort_Load(EOS(STATIC_2631), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2643_0_quicksort_Load(EOS(STATIC_2643), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2643_0_quicksort_Load(EOS(STATIC_2643), java.lang.Object(QuicksortRec.List(EOC, NULL, i106))) → 2207_0_quicksort_Load(EOS(STATIC_2207), java.lang.Object(QuicksortRec.List(EOC, NULL, i106)))
2207_0_quicksort_Load(EOS(STATIC_2207), o1217) → 2218_0_quicksort_NONNULL(EOS(STATIC_2218), o1217, o1217)
2475_0_sortedLow_Return(EOS(STATIC_2475), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1361)), i1424, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1424, NULL) → 2522_0_sortedLow_Return(EOS(STATIC_2522), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1361)), i1424, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1423)), i1424, NULL) | &&(=(matching1, 0), =(matching2, 0))
2522_0_sortedLow_Return(EOS(STATIC_2522), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1531, i1463)), i1361)), i1464, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, o1531, i1463)), i1464, NULL) → 2533_0_sortedLow_InvokeMethod(EOS(STATIC_2533), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1531, i1463)), i1361)), i1464, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2533_0_sortedLow_InvokeMethod(EOS(STATIC_2533), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1531, i1463)), i1361)), i1464, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL) → 2813_0_sortedLow_InvokeMethod(EOS(STATIC_2813), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1531, i1463)), i1361)), i1464, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2813_0_sortedLow_InvokeMethod(EOS(STATIC_2813), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL) → 2820_0_<init>_Load(EOS(STATIC_2820), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2820_0_<init>_Load(EOS(STATIC_2820), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL) → 2846_0_<init>_InvokeMethod(EOS(STATIC_2846), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2846_0_<init>_InvokeMethod(EOS(STATIC_2846), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2852_0_<init>_Load(EOS(STATIC_2852), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2852_0_<init>_Load(EOS(STATIC_2852), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL) → 2857_0_<init>_Load(EOS(STATIC_2857), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2857_0_<init>_Load(EOS(STATIC_2857), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2862_0_<init>_FieldAccess(EOS(STATIC_2862), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2862_0_<init>_FieldAccess(EOS(STATIC_2862), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4)), i1361) → 2869_0_<init>_Load(EOS(STATIC_2869), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2869_0_<init>_Load(EOS(STATIC_2869), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) → 2875_0_<init>_Load(EOS(STATIC_2875), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2875_0_<init>_Load(EOS(STATIC_2875), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2883_0_<init>_FieldAccess(EOS(STATIC_2883), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL)
2883_0_<init>_FieldAccess(EOS(STATIC_2883), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), NULL) → 2894_0_<init>_Return(EOS(STATIC_2894), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL)
2894_0_<init>_Return(EOS(STATIC_2894), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)), i1361, NULL) → 2900_0_sortedLow_InvokeMethod(EOS(STATIC_2900), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2900_0_sortedLow_InvokeMethod(EOS(STATIC_2900), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2911_1_sortedLow_InvokeMethod(2911_0_quicksort_Load(EOS(STATIC_2911), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2911_0_quicksort_Load(EOS(STATIC_2911), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2920_0_quicksort_Load(EOS(STATIC_2920), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2920_0_quicksort_Load(EOS(STATIC_2920), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2937_0_quicksort_Load(EOS(STATIC_2937), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2937_0_quicksort_Load(EOS(STATIC_2937), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361))) → 2955_0_quicksort_Load(EOS(STATIC_2955), java.lang.Object(QuicksortRec.List(EOC, NULL, i1361)))
2955_0_quicksort_Load(EOS(STATIC_2955), java.lang.Object(QuicksortRec.List(EOC, NULL, i106))) → 2207_0_quicksort_Load(EOS(STATIC_2207), java.lang.Object(QuicksortRec.List(EOC, NULL, i106)))
2570_0_sortedLow_Return(EOS(STATIC_2570), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1361)), i1490, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1490, NULL) → 2522_0_sortedLow_Return(EOS(STATIC_2522), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1361)), i1490, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1573, i1488)), i1489)), i1490, NULL) | &&(=(matching1, 0), =(matching2, 0))
2763_0_sortedLow_Return(EOS(STATIC_2763), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1361)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, NULL) → 2798_0_sortedLow_Return(EOS(STATIC_2798), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1361)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, java.lang.Object(QuicksortRec.List(EOC, NULL, i1640)), i1641, NULL) | &&(=(matching1, 0), =(matching2, 0))
2798_0_sortedLow_Return(EOS(STATIC_2798), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1685, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1685, NULL) → 2813_0_sortedLow_InvokeMethod(EOS(STATIC_2813), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1361)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, NULL) | &&(=(matching1, 0), =(matching2, 0))
2845_0_sortedLow_Return(EOS(STATIC_2845), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1361)), i1731, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1731, NULL) → 2522_0_sortedLow_Return(EOS(STATIC_2522), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1361)), i1731, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1893, i1729)), i1730)), i1731, NULL) | &&(=(matching1, 0), =(matching2, 0))
3060_0_sortedLow_Return(EOS(STATIC_3060), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1361)), i1954, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, NULL) → 2798_0_sortedLow_Return(EOS(STATIC_2798), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1361)), i1954, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1361, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2194, i1952)), i1953)), i1954, NULL) | &&(=(matching1, 0), =(matching2, 0))
2398_0_sortedLow_Return(EOS(STATIC_2398), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, i1366, NULL, i1366, NULL) → 2404_0_quicksort_Store(EOS(STATIC_2404), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL)
2404_0_quicksort_Store(EOS(STATIC_2404), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL) → 2409_0_quicksort_Load(EOS(STATIC_2409), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL)
2409_0_quicksort_Load(EOS(STATIC_2409), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL) → 2418_0_quicksort_FieldAccess(EOS(STATIC_2418), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)))
2418_0_quicksort_FieldAccess(EOS(STATIC_2418), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1366))) → 2429_0_quicksort_Load(EOS(STATIC_2429), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, NULL)
2429_0_quicksort_Load(EOS(STATIC_2429), java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)), NULL, NULL) → 2433_0_quicksort_FieldAccess(EOS(STATIC_2433), NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1366)))
2433_0_quicksort_FieldAccess(EOS(STATIC_2433), NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1366))) → 2437_0_quicksort_InvokeMethod(EOS(STATIC_2437), NULL, NULL, i1366)
2437_0_quicksort_InvokeMethod(EOS(STATIC_2437), NULL, NULL, i1366) → 2441_1_quicksort_InvokeMethod(2441_0_sortedHigh_Load(EOS(STATIC_2441), NULL, i1366), NULL, NULL, i1366)
2441_0_sortedHigh_Load(EOS(STATIC_2441), NULL, i1366) → 2443_0_sortedHigh_Load(EOS(STATIC_2443), NULL, i1366)
2443_0_sortedHigh_Load(EOS(STATIC_2443), NULL, i1366) → 2452_0_sortedHigh_Load(EOS(STATIC_2452), NULL, i1366)
2452_0_sortedHigh_Load(EOS(STATIC_2452), o1464, i1403) → 2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), o1464, i1403, o1464)
2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(o1467sub), i1403, java.lang.Object(o1467sub)) → 2460_0_sortedHigh_NONNULL(EOS(STATIC_2460), java.lang.Object(o1467sub), i1403, java.lang.Object(o1467sub))
2460_0_sortedHigh_NONNULL(EOS(STATIC_2460), java.lang.Object(o1467sub), i1403, java.lang.Object(o1467sub)) → 2469_0_sortedHigh_Load(EOS(STATIC_2469), java.lang.Object(o1467sub), i1403)
2469_0_sortedHigh_Load(EOS(STATIC_2469), java.lang.Object(o1467sub), i1403) → 2477_0_sortedHigh_FieldAccess(EOS(STATIC_2477), java.lang.Object(o1467sub), i1403, java.lang.Object(o1467sub))
2477_0_sortedHigh_FieldAccess(EOS(STATIC_2477), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) → 2486_0_sortedHigh_FieldAccess(EOS(STATIC_2486), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)))
2486_0_sortedHigh_FieldAccess(EOS(STATIC_2486), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) → 2494_0_sortedHigh_Load(EOS(STATIC_2494), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430)
2494_0_sortedHigh_Load(EOS(STATIC_2494), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430) → 2504_0_sortedHigh_LE(EOS(STATIC_2504), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403)
2504_0_sortedHigh_LE(EOS(STATIC_2504), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403) → 2525_0_sortedHigh_LE(EOS(STATIC_2525), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403)
2504_0_sortedHigh_LE(EOS(STATIC_2504), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403) → 2526_0_sortedHigh_LE(EOS(STATIC_2526), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403)
2525_0_sortedHigh_LE(EOS(STATIC_2525), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403) → 2535_0_sortedHigh_Load(EOS(STATIC_2535), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403) | <=(i1430, i1403)
2535_0_sortedHigh_Load(EOS(STATIC_2535), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403) → 2545_0_sortedHigh_FieldAccess(EOS(STATIC_2545), i1403, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)))
2545_0_sortedHigh_FieldAccess(EOS(STATIC_2545), i1403, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) → 2556_0_sortedHigh_Load(EOS(STATIC_2556), i1403, o1489)
2556_0_sortedHigh_Load(EOS(STATIC_2556), i1403, o1489) → 2574_0_sortedHigh_InvokeMethod(EOS(STATIC_2574), o1489, i1403)
2574_0_sortedHigh_InvokeMethod(EOS(STATIC_2574), o1489, i1403) → 2582_1_sortedHigh_InvokeMethod(2582_0_sortedHigh_Load(EOS(STATIC_2582), o1489, i1403), o1489, i1403)
2582_0_sortedHigh_Load(EOS(STATIC_2582), o1489, i1403) → 2590_0_sortedHigh_Load(EOS(STATIC_2590), o1489, i1403)
2590_0_sortedHigh_Load(EOS(STATIC_2590), o1489, i1403) → 2452_0_sortedHigh_Load(EOS(STATIC_2452), o1489, i1403)
2526_0_sortedHigh_LE(EOS(STATIC_2526), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, i1430, i1403) → 2537_0_sortedHigh_New(EOS(STATIC_2537), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403) | >(i1430, i1403)
2537_0_sortedHigh_New(EOS(STATIC_2537), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403) → 2546_0_sortedHigh_Duplicate(EOS(STATIC_2546), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)))
2546_0_sortedHigh_Duplicate(EOS(STATIC_2546), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1))) → 2558_0_sortedHigh_Load(EOS(STATIC_2558), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | =(matching1, 0)
2558_0_sortedHigh_Load(EOS(STATIC_2558), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2))) → 2575_0_sortedHigh_FieldAccess(EOS(STATIC_2575), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) | &&(=(matching1, 0), =(matching2, 0))
2575_0_sortedHigh_FieldAccess(EOS(STATIC_2575), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) → 2583_0_sortedHigh_Load(EOS(STATIC_2583), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430) | &&(=(matching1, 0), =(matching2, 0))
2583_0_sortedHigh_Load(EOS(STATIC_2583), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430) → 2591_0_sortedHigh_FieldAccess(EOS(STATIC_2591), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) | &&(=(matching1, 0), =(matching2, 0))
2591_0_sortedHigh_FieldAccess(EOS(STATIC_2591), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, o1489, i1430))) → 2597_0_sortedHigh_Load(EOS(STATIC_2597), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, o1489) | &&(=(matching1, 0), =(matching2, 0))
2597_0_sortedHigh_Load(EOS(STATIC_2597), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, o1489) → 2606_0_sortedHigh_InvokeMethod(EOS(STATIC_2606), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, o1489, i1403) | &&(=(matching1, 0), =(matching2, 0))
2606_0_sortedHigh_InvokeMethod(EOS(STATIC_2606), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, o1489, i1403) → 2613_1_sortedHigh_InvokeMethod(2613_0_sortedHigh_Load(EOS(STATIC_2613), o1489, i1403), java.lang.Object(QuicksortRec.List(EOC, o1489, i1430)), i1403, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, o1489, i1403) | &&(=(matching1, 0), =(matching2, 0))
2613_0_sortedHigh_Load(EOS(STATIC_2613), o1489, i1403) → 2621_0_sortedHigh_Load(EOS(STATIC_2621), o1489, i1403)
2613_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, i1531, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, i1531) → 2648_0_sortedHigh_Return(EOS(STATIC_2648), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, i1531, NULL, i1531, NULL) | &&(=(matching1, 0), =(matching2, 0))
2613_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1430)), i1537, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1537) → 2649_0_sortedHigh_Return(EOS(STATIC_2649), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1430)), i1537, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1537, NULL) | &&(=(matching1, 0), =(matching2, 0))
2613_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1430)), i1629, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1629) → 2756_0_sortedHigh_Return(EOS(STATIC_2756), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1430)), i1629, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1629, NULL) | &&(=(matching1, 0), =(matching2, 0))
2613_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1430)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792) → 2916_0_sortedHigh_Return(EOS(STATIC_2916), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1430)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, NULL) | &&(=(matching1, 0), =(matching2, 0))
2613_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1430)), i1922, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1922) → 3031_0_sortedHigh_Return(EOS(STATIC_3031), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1430)), i1922, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1922, NULL) | &&(=(matching1, 0), =(matching2, 0))
2613_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i1430)), i2011, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011) → 3140_0_sortedHigh_Return(EOS(STATIC_3140), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i1430)), i2011, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, NULL) | &&(=(matching1, 0), =(matching2, 0))
2621_0_sortedHigh_Load(EOS(STATIC_2621), o1489, i1403) → 2452_0_sortedHigh_Load(EOS(STATIC_2452), o1489, i1403)
2648_0_sortedHigh_Return(EOS(STATIC_2648), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, i1531, NULL, i1531, NULL) → 2657_0_sortedHigh_InvokeMethod(EOS(STATIC_2657), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
2657_0_sortedHigh_InvokeMethod(EOS(STATIC_2657), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL) → 2664_0_<init>_Load(EOS(STATIC_2664), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
2664_0_<init>_Load(EOS(STATIC_2664), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL) → 2699_0_<init>_InvokeMethod(EOS(STATIC_2699), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2699_0_<init>_InvokeMethod(EOS(STATIC_2699), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2714_0_<init>_Load(EOS(STATIC_2714), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2714_0_<init>_Load(EOS(STATIC_2714), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL) → 2725_0_<init>_Load(EOS(STATIC_2725), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
2725_0_<init>_Load(EOS(STATIC_2725), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 2737_0_<init>_FieldAccess(EOS(STATIC_2737), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2737_0_<init>_FieldAccess(EOS(STATIC_2737), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4)), i1430) → 2760_0_<init>_Load(EOS(STATIC_2760), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
2760_0_<init>_Load(EOS(STATIC_2760), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) → 2771_0_<init>_Load(EOS(STATIC_2771), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2771_0_<init>_Load(EOS(STATIC_2771), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 2803_0_<init>_FieldAccess(EOS(STATIC_2803), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL)
2803_0_<init>_FieldAccess(EOS(STATIC_2803), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) → 2816_0_<init>_Return(EOS(STATIC_2816), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL)
2816_0_<init>_Return(EOS(STATIC_2816), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL) → 2823_0_sortedHigh_InvokeMethod(EOS(STATIC_2823), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2823_0_sortedHigh_InvokeMethod(EOS(STATIC_2823), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 2832_1_sortedHigh_InvokeMethod(2832_0_quicksort_Load(EOS(STATIC_2832), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2832_0_quicksort_Load(EOS(STATIC_2832), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 2850_0_quicksort_Load(EOS(STATIC_2850), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2850_0_quicksort_Load(EOS(STATIC_2850), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 2860_0_quicksort_Load(EOS(STATIC_2860), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2860_0_quicksort_Load(EOS(STATIC_2860), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 2866_0_quicksort_Load(EOS(STATIC_2866), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
2866_0_quicksort_Load(EOS(STATIC_2866), java.lang.Object(QuicksortRec.List(EOC, NULL, i106))) → 2207_0_quicksort_Load(EOS(STATIC_2207), java.lang.Object(QuicksortRec.List(EOC, NULL, i106)))
2649_0_sortedHigh_Return(EOS(STATIC_2649), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1430)), i1537, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1537, NULL) → 2698_0_sortedHigh_Return(EOS(STATIC_2698), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1430)), i1537, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1536)), i1537, NULL) | &&(=(matching1, 0), =(matching2, 0))
2698_0_sortedHigh_Return(EOS(STATIC_2698), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1696, i1591)), i1430)), i1592, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, o1696, i1591)), i1592, NULL) → 2713_0_sortedHigh_InvokeMethod(EOS(STATIC_2713), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1696, i1591)), i1430)), i1592, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
2713_0_sortedHigh_InvokeMethod(EOS(STATIC_2713), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1696, i1591)), i1430)), i1592, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL) → 3003_0_sortedHigh_InvokeMethod(EOS(STATIC_3003), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1696, i1591)), i1430)), i1592, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
3003_0_sortedHigh_InvokeMethod(EOS(STATIC_3003), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL) → 3011_0_<init>_Load(EOS(STATIC_3011), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
3011_0_<init>_Load(EOS(STATIC_3011), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL) → 3036_0_<init>_InvokeMethod(EOS(STATIC_3036), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
3036_0_<init>_InvokeMethod(EOS(STATIC_3036), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 3046_0_<init>_Load(EOS(STATIC_3046), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
3046_0_<init>_Load(EOS(STATIC_3046), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL) → 3061_0_<init>_Load(EOS(STATIC_3061), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0))) | &&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0))
3061_0_<init>_Load(EOS(STATIC_3061), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4))) → 3064_0_<init>_FieldAccess(EOS(STATIC_3064), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
3064_0_<init>_FieldAccess(EOS(STATIC_3064), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching3)), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, matching4)), i1430) → 3066_0_<init>_Load(EOS(STATIC_3066), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) | &&(&&(&&(=(matching1, 0), =(matching2, 0)), =(matching3, 0)), =(matching4, 0))
3066_0_<init>_Load(EOS(STATIC_3066), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) → 3069_0_<init>_Load(EOS(STATIC_3069), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3069_0_<init>_Load(EOS(STATIC_3069), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 3071_0_<init>_FieldAccess(EOS(STATIC_3071), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL)
3071_0_<init>_FieldAccess(EOS(STATIC_3071), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), NULL) → 3074_0_<init>_Return(EOS(STATIC_3074), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL)
3074_0_<init>_Return(EOS(STATIC_3074), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)), i1430, NULL) → 3077_0_sortedHigh_InvokeMethod(EOS(STATIC_3077), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3077_0_sortedHigh_InvokeMethod(EOS(STATIC_3077), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 3085_1_sortedHigh_InvokeMethod(3085_0_quicksort_Load(EOS(STATIC_3085), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3085_0_quicksort_Load(EOS(STATIC_3085), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 3099_0_quicksort_Load(EOS(STATIC_3099), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3099_0_quicksort_Load(EOS(STATIC_3099), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 3106_0_quicksort_Load(EOS(STATIC_3106), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3106_0_quicksort_Load(EOS(STATIC_3106), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430))) → 3110_0_quicksort_Load(EOS(STATIC_3110), java.lang.Object(QuicksortRec.List(EOC, NULL, i1430)))
3110_0_quicksort_Load(EOS(STATIC_3110), java.lang.Object(QuicksortRec.List(EOC, NULL, i106))) → 2207_0_quicksort_Load(EOS(STATIC_2207), java.lang.Object(QuicksortRec.List(EOC, NULL, i106)))
2756_0_sortedHigh_Return(EOS(STATIC_2756), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1430)), i1629, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1629, NULL) → 2698_0_sortedHigh_Return(EOS(STATIC_2698), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1430)), i1629, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1743, i1627)), i1628)), i1629, NULL) | &&(=(matching1, 0), =(matching2, 0))
2916_0_sortedHigh_Return(EOS(STATIC_2916), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1430)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, NULL) → 2975_0_sortedHigh_Return(EOS(STATIC_2975), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1430)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, java.lang.Object(QuicksortRec.List(EOC, NULL, i1791)), i1792, NULL) | &&(=(matching1, 0), =(matching2, 0))
2975_0_sortedHigh_Return(EOS(STATIC_2975), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1848, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1848, NULL) → 3003_0_sortedHigh_InvokeMethod(EOS(STATIC_3003), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1430)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, NULL) | &&(=(matching1, 0), =(matching2, 0))
3031_0_sortedHigh_Return(EOS(STATIC_3031), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1430)), i1922, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1922, NULL) → 2698_0_sortedHigh_Return(EOS(STATIC_2698), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1430)), i1922, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2158, i1920)), i1921)), i1922, NULL) | &&(=(matching1, 0), =(matching2, 0))
3140_0_sortedHigh_Return(EOS(STATIC_3140), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i1430)), i2011, java.lang.Object(QuicksortRec.List(EOC, NULL, matching1)), java.lang.Object(QuicksortRec.List(EOC, NULL, matching2)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, NULL) → 2975_0_sortedHigh_Return(EOS(STATIC_2975), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i1430)), i2011, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), i1430, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2274, i2009)), i2010)), i2011, NULL) | &&(=(matching1, 0), =(matching2, 0))
2472_0_sortedLow_Return(EOS(STATIC_2472), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408, NULL) → 2512_0_sortedLow_Return(EOS(STATIC_2512), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1407)), i1408, NULL)
2512_0_sortedLow_Return(EOS(STATIC_2512), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1511, i1451)), i1452)), java.lang.Object(QuicksortRec.List(EOC, o1511, i1451)), i1452, NULL) → 2529_0_quicksort_Store(EOS(STATIC_2529), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1511, i1451)), i1452)), NULL)
2529_0_quicksort_Store(EOS(STATIC_2529), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1511, i1451)), i1452)), NULL) → 2806_0_quicksort_Store(EOS(STATIC_2806), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1511, i1451)), i1452)), NULL)
2806_0_quicksort_Store(EOS(STATIC_2806), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL) → 2818_0_quicksort_Load(EOS(STATIC_2818), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL)
2818_0_quicksort_Load(EOS(STATIC_2818), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL) → 2824_0_quicksort_FieldAccess(EOS(STATIC_2824), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)))
2824_0_quicksort_FieldAccess(EOS(STATIC_2824), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672))) → 2834_0_quicksort_Load(EOS(STATIC_2834), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)))
2834_0_quicksort_Load(EOS(STATIC_2834), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671))) → 2851_0_quicksort_FieldAccess(EOS(STATIC_2851), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)))
2851_0_quicksort_FieldAccess(EOS(STATIC_2851), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672))) → 2855_0_quicksort_InvokeMethod(EOS(STATIC_2855), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)
2855_0_quicksort_InvokeMethod(EOS(STATIC_2855), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672) → 2861_1_quicksort_InvokeMethod(2861_0_sortedHigh_Load(EOS(STATIC_2861), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672), NULL, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)
2861_0_sortedHigh_Load(EOS(STATIC_2861), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672) → 2867_0_sortedHigh_Load(EOS(STATIC_2867), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)
2867_0_sortedHigh_Load(EOS(STATIC_2867), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672) → 2452_0_sortedHigh_Load(EOS(STATIC_2452), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)
2564_0_sortedLow_Return(EOS(STATIC_2564), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478, NULL) → 2512_0_sortedLow_Return(EOS(STATIC_2512), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1565, i1476)), i1477)), i1478, NULL)
2761_0_sortedLow_Return(EOS(STATIC_2761), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, NULL) → 2784_0_sortedLow_Return(EOS(STATIC_2784), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633)), java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, java.lang.Object(QuicksortRec.List(EOC, NULL, i1632)), i1633, NULL)
2784_0_sortedLow_Return(EOS(STATIC_2784), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672, NULL) → 2806_0_quicksort_Store(EOS(STATIC_2806), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1809, i1671)), i1672)), NULL)
2838_0_sortedLow_Return(EOS(STATIC_2838), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719, NULL) → 2512_0_sortedLow_Return(EOS(STATIC_2512), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1885, i1717)), i1718)), i1719, NULL)
3051_0_sortedLow_Return(EOS(STATIC_3051), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, NULL) → 2784_0_sortedLow_Return(EOS(STATIC_2784), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2185, i1942)), i1943)), i1944, NULL)
R rules:
2585_0_append_Load(EOS(STATIC_2585), NULL, NULL) → 2599_0_append_Load(EOS(STATIC_2599), NULL, NULL)
3062_0_append_Load(EOS(STATIC_3062), NULL, NULL) → 2599_0_append_Load(EOS(STATIC_2599), NULL, NULL)
2218_0_quicksort_NONNULL(EOS(STATIC_2218), NULL, NULL) → 2230_0_quicksort_NONNULL(EOS(STATIC_2230), NULL, NULL)
2230_0_quicksort_NONNULL(EOS(STATIC_2230), NULL, NULL) → 2248_0_quicksort_ConstantStackPush(EOS(STATIC_2248), NULL)
2248_0_quicksort_ConstantStackPush(EOS(STATIC_2248), NULL) → 2260_0_quicksort_Return(EOS(STATIC_2260), NULL, NULL)
2441_1_quicksort_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, i1431, NULL), NULL, NULL, i1431) → 2505_0_sortedHigh_Return(EOS(STATIC_2505), NULL, NULL, i1431, NULL, i1431, NULL)
2505_0_sortedHigh_Return(EOS(STATIC_2505), NULL, NULL, i1431, NULL, i1431, NULL) → 2528_0_quicksort_Store(EOS(STATIC_2528), NULL, NULL)
2528_0_quicksort_Store(EOS(STATIC_2528), NULL, NULL) → 2538_0_quicksort_Load(EOS(STATIC_2538), NULL, NULL)
2538_0_quicksort_Load(EOS(STATIC_2538), NULL, NULL) → 2547_0_quicksort_Load(EOS(STATIC_2547), NULL, NULL)
2547_0_quicksort_Load(EOS(STATIC_2547), NULL, NULL) → 2559_0_quicksort_InvokeMethod(EOS(STATIC_2559), NULL, NULL)
2559_0_quicksort_InvokeMethod(EOS(STATIC_2559), NULL, NULL) → 2577_1_quicksort_InvokeMethod(2577_0_append_Load(EOS(STATIC_2577), NULL, NULL), NULL, NULL)
2577_0_append_Load(EOS(STATIC_2577), NULL, NULL) → 2585_0_append_Load(EOS(STATIC_2585), NULL, NULL)
2577_1_quicksort_InvokeMethod(2622_0_append_Return(EOS(STATIC_2622), NULL, NULL, NULL), NULL, NULL) → 2650_0_append_Return(EOS(STATIC_2650), NULL, NULL, NULL, NULL, NULL)
2650_0_append_Return(EOS(STATIC_2650), NULL, NULL, NULL, NULL, NULL) → 2660_0_quicksort_Return(EOS(STATIC_2660), NULL)
2861_1_quicksort_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1761)), i1762) → 2888_0_sortedHigh_Return(EOS(STATIC_2888), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1761)), i1762, NULL)
2861_1_quicksort_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1950, i1765)), i1766)), i1767) → 2892_0_sortedHigh_Return(EOS(STATIC_2892), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1950, i1765)), i1766)), i1767, NULL)
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796) → 2917_0_sortedHigh_Return(EOS(STATIC_2917), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, NULL)
2861_1_quicksort_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2162, i1925)), i1926)), i1927) → 3035_0_sortedHigh_Return(EOS(STATIC_3035), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2162, i1925)), i1926)), i1927, NULL)
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016) → 3144_0_sortedHigh_Return(EOS(STATIC_3144), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, NULL)
2888_0_sortedHigh_Return(EOS(STATIC_2888), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1761)), i1762, NULL) → 2893_0_sortedHigh_Return(EOS(STATIC_2893), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1761)), i1762, NULL)
2892_0_sortedHigh_Return(EOS(STATIC_2892), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1950, i1765)), i1766)), i1767, NULL) → 2893_0_sortedHigh_Return(EOS(STATIC_2893), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1950, i1765)), i1766)), i1767, NULL)
2893_0_sortedHigh_Return(EOS(STATIC_2893), NULL, java.lang.Object(QuicksortRec.List(EOC, o1958, i1773)), i1774, NULL) → 2899_0_quicksort_Store(EOS(STATIC_2899), NULL, NULL)
2899_0_quicksort_Store(EOS(STATIC_2899), NULL, NULL) → 3006_0_quicksort_Store(EOS(STATIC_3006), NULL, NULL)
2917_0_sortedHigh_Return(EOS(STATIC_2917), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, NULL) → 2981_0_sortedHigh_Return(EOS(STATIC_2981), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, java.lang.Object(QuicksortRec.List(EOC, NULL, i1795)), i1796, NULL)
2981_0_sortedHigh_Return(EOS(STATIC_2981), NULL, java.lang.Object(QuicksortRec.List(EOC, o2086, i1860)), i1861, java.lang.Object(QuicksortRec.List(EOC, o2086, i1860)), i1861, NULL) → 3006_0_quicksort_Store(EOS(STATIC_3006), NULL, NULL)
3006_0_quicksort_Store(EOS(STATIC_3006), NULL, NULL) → 3012_0_quicksort_Load(EOS(STATIC_3012), NULL, NULL)
3012_0_quicksort_Load(EOS(STATIC_3012), NULL, NULL) → 3023_0_quicksort_Load(EOS(STATIC_3023), NULL, NULL)
3023_0_quicksort_Load(EOS(STATIC_3023), NULL, NULL) → 3038_0_quicksort_InvokeMethod(EOS(STATIC_3038), NULL, NULL)
3035_0_sortedHigh_Return(EOS(STATIC_3035), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2162, i1925)), i1926)), i1927, NULL) → 2893_0_sortedHigh_Return(EOS(STATIC_2893), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2162, i1925)), i1926)), i1927, NULL)
3038_0_quicksort_InvokeMethod(EOS(STATIC_3038), NULL, NULL) → 3047_1_quicksort_InvokeMethod(3047_0_append_Load(EOS(STATIC_3047), NULL, NULL), NULL, NULL)
3047_0_append_Load(EOS(STATIC_3047), NULL, NULL) → 3062_0_append_Load(EOS(STATIC_3062), NULL, NULL)
3047_1_quicksort_InvokeMethod(2622_0_append_Return(EOS(STATIC_2622), NULL, NULL, NULL), NULL, NULL) → 3070_0_append_Return(EOS(STATIC_3070), NULL, NULL, NULL, NULL, NULL)
3070_0_append_Return(EOS(STATIC_3070), NULL, NULL, NULL, NULL, NULL) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)
3144_0_sortedHigh_Return(EOS(STATIC_3144), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, NULL) → 2981_0_sortedHigh_Return(EOS(STATIC_2981), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2278, i2014)), i2015)), i2016, NULL)
2362_0_sortedLow_NONNULL(EOS(STATIC_2362), NULL, i1323, NULL) → 2366_0_sortedLow_NONNULL(EOS(STATIC_2366), NULL, i1323, NULL)
2366_0_sortedLow_NONNULL(EOS(STATIC_2366), NULL, i1323, NULL) → 2373_0_sortedLow_ConstantStackPush(EOS(STATIC_2373), NULL, i1323)
2373_0_sortedLow_ConstantStackPush(EOS(STATIC_2373), NULL, i1323) → 2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, i1323, NULL)
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, i1400, NULL), NULL, i1400) → 2448_0_sortedLow_Return(EOS(STATIC_2448), NULL, i1400, NULL, i1400, NULL)
2434_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1412)), i1413) → 2473_0_sortedLow_Return(EOS(STATIC_2473), java.lang.Object(QuicksortRec.List(EOC, NULL, i1412)), i1413, NULL)
2434_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1569, i1482)), i1483)), i1484) → 2566_0_sortedLow_Return(EOS(STATIC_2566), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1569, i1482)), i1483)), i1484, NULL)
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637) → 2762_0_sortedLow_Return(EOS(STATIC_2762), java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, NULL)
2434_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1889, i1723)), i1724)), i1725) → 2841_0_sortedLow_Return(EOS(STATIC_2841), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1889, i1723)), i1724)), i1725, NULL)
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949) → 3055_0_sortedLow_Return(EOS(STATIC_3055), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, NULL)
2448_0_sortedLow_Return(EOS(STATIC_2448), NULL, i1400, NULL, i1400, NULL) → 2453_0_sortedLow_Return(EOS(STATIC_2453), NULL)
2473_0_sortedLow_Return(EOS(STATIC_2473), java.lang.Object(QuicksortRec.List(EOC, NULL, i1412)), i1413, NULL) → 2516_0_sortedLow_Return(EOS(STATIC_2516), java.lang.Object(QuicksortRec.List(EOC, NULL, i1412)), i1413, NULL)
2516_0_sortedLow_Return(EOS(STATIC_2516), java.lang.Object(QuicksortRec.List(EOC, o1518, i1455)), i1456, NULL) → 2531_0_sortedLow_Return(EOS(STATIC_2531), NULL)
2531_0_sortedLow_Return(EOS(STATIC_2531), NULL) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2566_0_sortedLow_Return(EOS(STATIC_2566), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1569, i1482)), i1483)), i1484, NULL) → 2516_0_sortedLow_Return(EOS(STATIC_2516), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1569, i1482)), i1483)), i1484, NULL)
2610_1_sortedLow_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1573))) → 2704_0_quicksort_Return(EOS(STATIC_2704), java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), NULL)
2704_0_quicksort_Return(EOS(STATIC_2704), java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), i1419, java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), NULL) → 2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, i1573)), i1419, NULL)
2762_0_sortedLow_Return(EOS(STATIC_2762), java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, NULL) → 2789_0_sortedLow_Return(EOS(STATIC_2789), java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, java.lang.Object(QuicksortRec.List(EOC, NULL, i1636)), i1637, NULL)
2789_0_sortedLow_Return(EOS(STATIC_2789), java.lang.Object(QuicksortRec.List(EOC, o1817, i1675)), i1676, java.lang.Object(QuicksortRec.List(EOC, o1817, i1675)), i1676, NULL) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2841_0_sortedLow_Return(EOS(STATIC_2841), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1889, i1723)), i1724)), i1725, NULL) → 2516_0_sortedLow_Return(EOS(STATIC_2516), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1889, i1723)), i1724)), i1725, NULL)
2911_1_sortedLow_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1881)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1881))) → 3008_0_quicksort_Return(EOS(STATIC_3008), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1881)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1881)), NULL)
3008_0_quicksort_Return(EOS(STATIC_3008), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1881)), i1685, java.lang.Object(QuicksortRec.List(EOC, NULL, i1881)), NULL) → 3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1830, i1684)), i1881)), i1685, NULL)
3055_0_sortedLow_Return(EOS(STATIC_3055), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, NULL) → 2789_0_sortedLow_Return(EOS(STATIC_2789), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2189, i1947)), i1948)), i1949, NULL)
2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), NULL, i1403, NULL) → 2461_0_sortedHigh_NONNULL(EOS(STATIC_2461), NULL, i1403, NULL)
2461_0_sortedHigh_NONNULL(EOS(STATIC_2461), NULL, i1403, NULL) → 2470_0_sortedHigh_ConstantStackPush(EOS(STATIC_2470), NULL, i1403)
2470_0_sortedHigh_ConstantStackPush(EOS(STATIC_2470), NULL, i1403) → 2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, i1403, NULL)
2582_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, i1510, NULL), NULL, i1510) → 2611_0_sortedHigh_Return(EOS(STATIC_2611), NULL, i1510, NULL, i1510, NULL)
2582_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1519)), i1520) → 2645_0_sortedHigh_Return(EOS(STATIC_2645), java.lang.Object(QuicksortRec.List(EOC, NULL, i1519)), i1520, NULL)
2582_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1735, i1616)), i1617)), i1618) → 2749_0_sortedHigh_Return(EOS(STATIC_2749), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1735, i1616)), i1617)), i1618, NULL)
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788) → 2915_0_sortedHigh_Return(EOS(STATIC_2915), java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, NULL)
2582_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2154, i1914)), i1915)), i1916) → 3028_0_sortedHigh_Return(EOS(STATIC_3028), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2154, i1914)), i1915)), i1916, NULL)
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006) → 3135_0_sortedHigh_Return(EOS(STATIC_3135), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, NULL)
2611_0_sortedHigh_Return(EOS(STATIC_2611), NULL, i1510, NULL, i1510, NULL) → 2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL)
2645_0_sortedHigh_Return(EOS(STATIC_2645), java.lang.Object(QuicksortRec.List(EOC, NULL, i1519)), i1520, NULL) → 2687_0_sortedHigh_Return(EOS(STATIC_2687), java.lang.Object(QuicksortRec.List(EOC, NULL, i1519)), i1520, NULL)
2687_0_sortedHigh_Return(EOS(STATIC_2687), java.lang.Object(QuicksortRec.List(EOC, o1676, i1578)), i1579, NULL) → 2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL)
2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
2749_0_sortedHigh_Return(EOS(STATIC_2749), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1735, i1616)), i1617)), i1618, NULL) → 2687_0_sortedHigh_Return(EOS(STATIC_2687), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o1735, i1616)), i1617)), i1618, NULL)
2832_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1755))) → 2877_0_quicksort_Return(EOS(STATIC_2877), java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), NULL)
2877_0_quicksort_Return(EOS(STATIC_2877), java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), i1531, java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), NULL) → 2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, i1755)), i1531, NULL)
2915_0_sortedHigh_Return(EOS(STATIC_2915), java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, NULL) → 2964_0_sortedHigh_Return(EOS(STATIC_2964), java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, java.lang.Object(QuicksortRec.List(EOC, NULL, i1787)), i1788, NULL)
2964_0_sortedHigh_Return(EOS(STATIC_2964), java.lang.Object(QuicksortRec.List(EOC, o2055, i1837)), i1838, java.lang.Object(QuicksortRec.List(EOC, o2055, i1837)), i1838, NULL) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
3028_0_sortedHigh_Return(EOS(STATIC_3028), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2154, i1914)), i1915)), i1916, NULL) → 2687_0_sortedHigh_Return(EOS(STATIC_2687), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2154, i1914)), i1915)), i1916, NULL)
3085_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1993)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1993))) → 3119_0_quicksort_Return(EOS(STATIC_3119), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1993)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1993)), NULL)
3119_0_quicksort_Return(EOS(STATIC_3119), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1993)), i1848, java.lang.Object(QuicksortRec.List(EOC, NULL, i1993)), NULL) → 3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2068, i1847)), i1993)), i1848, NULL)
3135_0_sortedHigh_Return(EOS(STATIC_3135), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, NULL) → 2964_0_sortedHigh_Return(EOS(STATIC_2964), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, o2269, i2004)), i2005)), i2006, NULL)
2599_0_append_Load(EOS(STATIC_2599), NULL, NULL) → 2607_0_append_NONNULL(EOS(STATIC_2607), NULL, NULL, NULL)
2607_0_append_NONNULL(EOS(STATIC_2607), NULL, NULL, NULL) → 2614_0_append_Load(EOS(STATIC_2614), NULL, NULL)
2614_0_append_Load(EOS(STATIC_2614), NULL, NULL) → 2622_0_append_Return(EOS(STATIC_2622), NULL, NULL, NULL)

Combined rules. Obtained 23 conditional rules for P and 24 conditional rules for R.


P rules:
2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2))) → 2337_1_quicksort_InvokeMethod(2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2, x1, x2), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)
2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, x2, x3) → 2434_1_sortedLow_InvokeMethod(2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x3, x1, x3), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x3) | <(x3, x2)
2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, x2, x3) → 2450_1_sortedLow_InvokeMethod(2397_0_sortedLow_GT(EOS(STATIC_2397), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x3, x1, x3), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x2, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x3) | >=(x3, x2)
2450_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, x0, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), x0, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x1, NULL, x0) → 2610_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x1))), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), x0, java.lang.Object(QuicksortRec.List(EOC, NULL, x1)))
2450_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x1))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, x1)))
2450_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x3)), java.lang.Object(QuicksortRec.List(EOC, NULL, x3))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, x3)))
2450_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x3)), java.lang.Object(QuicksortRec.List(EOC, NULL, x3))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, x3)))
2450_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x2)), java.lang.Object(QuicksortRec.List(EOC, NULL, x2))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x2)))
2450_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x4, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x4)), java.lang.Object(QuicksortRec.List(EOC, NULL, x4))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, x4)))
2337_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, x0, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), NULL, x0) → 2441_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), NULL, x0, NULL), NULL, NULL, x0)
2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2, java.lang.Object(QuicksortRec.List(EOC, x0, x1))) → 2582_1_sortedHigh_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), x0, x2, x0), x0, x2) | >=(x2, x1)
2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2, java.lang.Object(QuicksortRec.List(EOC, x0, x1))) → 2613_1_sortedHigh_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), x0, x2, x0), java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x1, x0, x2) | <(x2, x1)
2613_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, x0, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), x0, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x1, NULL, x0) → 2832_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x1))), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), x0, java.lang.Object(QuicksortRec.List(EOC, NULL, x1)))
2613_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x1))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, x1)))
2613_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x3)), java.lang.Object(QuicksortRec.List(EOC, NULL, x3))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, x3)))
2613_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x3)), java.lang.Object(QuicksortRec.List(EOC, NULL, x3))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(EOC, NULL, x3)))
2613_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x2, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x2)), java.lang.Object(QuicksortRec.List(EOC, NULL, x2))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x2)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x2)))
2613_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), java.lang.Object(QuicksortRec.List(EOC, NULL, 0)), x4, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(EOS(STATIC_2218), java.lang.Object(QuicksortRec.List(EOC, NULL, x4)), java.lang.Object(QuicksortRec.List(EOC, NULL, x4))), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x4)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, x4)))
2337_1_quicksort_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0))), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)
2337_1_quicksort_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2))), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)
2337_1_quicksort_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2))), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)
2337_1_quicksort_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0))), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1)
2337_1_quicksort_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2))), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3)
R rules:
2218_0_quicksort_NONNULL(EOS(STATIC_2218), NULL, NULL) → 2260_0_quicksort_Return(EOS(STATIC_2260), NULL, NULL)
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(EOS(STATIC_2381), NULL, x0, NULL), NULL, x0) → 2453_0_sortedLow_Return(EOS(STATIC_2453), NULL)
2434_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return(EOS(STATIC_2453), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2434_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return(EOS(STATIC_2531), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2434_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return(EOS(STATIC_2810), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2610_1_sortedLow_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0))) → 2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL)
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(EOS(STATIC_2717), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2810_0_sortedLow_Return(EOS(STATIC_2810), NULL)
2911_1_sortedLow_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, x2))) → 3015_0_sortedLow_Return(EOS(STATIC_3015), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL)
2457_0_sortedHigh_NONNULL(EOS(STATIC_2457), NULL, x0, NULL) → 2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, x0, NULL)
2582_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, x0, NULL), NULL, x0) → 2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL)
2582_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
2582_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
2582_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
2832_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, java.lang.Object(QuicksortRec.List(EOC, NULL, x0))) → 2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL)
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL)
3085_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return(EOS(STATIC_2660), NULL), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(EOC, NULL, x2))) → 3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL)
2441_1_quicksort_InvokeMethod(2478_0_sortedHigh_Return(EOS(STATIC_2478), NULL, x0, NULL), NULL, NULL, x0) → 2660_0_quicksort_Return(EOS(STATIC_2660), NULL)
2861_1_quicksort_InvokeMethod(2619_0_sortedHigh_Return(EOS(STATIC_2619), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)
2861_1_quicksort_InvokeMethod(2710_0_sortedHigh_Return(EOS(STATIC_2710), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)
2861_1_quicksort_InvokeMethod(2999_0_sortedHigh_Return(EOS(STATIC_2999), NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(EOS(STATIC_2886), java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1, NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, NULL, x0)), x1) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(EOS(STATIC_3123), java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3, NULL), NULL, java.lang.Object(QuicksortRec.List(EOC, java.lang.Object(QuicksortRec.List(EOC, x0, x1)), x2)), x3) → 3073_0_quicksort_Return(EOS(STATIC_3073), NULL)

Filtered ground terms:



2861_1_quicksort_InvokeMethod(x1, x2, x3, x4) → 2861_1_quicksort_InvokeMethod(x1, x3, x4)
QuicksortRec.List(x1, x2, x3) → QuicksortRec.List(x2, x3)
2457_0_sortedHigh_NONNULL(x1, x2, x3, x4) → 2457_0_sortedHigh_NONNULL(x2, x3, x4)
3015_0_sortedLow_Return(x1, x2, x3, x4) → 3015_0_sortedLow_Return(x2, x3)
2717_0_sortedLow_Return(x1, x2, x3, x4) → 2717_0_sortedLow_Return(x2, x3)
2810_0_sortedLow_Return(x1, x2) → 2810_0_sortedLow_Return
2531_0_sortedLow_Return(x1, x2) → 2531_0_sortedLow_Return
2453_0_sortedLow_Return(x1, x2) → 2453_0_sortedLow_Return
2218_0_quicksort_NONNULL(x1, x2, x3) → 2218_0_quicksort_NONNULL(x2, x3)
2613_1_sortedHigh_InvokeMethod(x1, x2, x3, x4, x5, x6, x7, x8) → 2613_1_sortedHigh_InvokeMethod(x1, x2, x3, x6, x7, x8)
3123_0_sortedHigh_Return(x1, x2, x3, x4) → 3123_0_sortedHigh_Return(x2, x3)
2886_0_sortedHigh_Return(x1, x2, x3, x4) → 2886_0_sortedHigh_Return(x2, x3)
2999_0_sortedHigh_Return(x1, x2) → 2999_0_sortedHigh_Return
2710_0_sortedHigh_Return(x1, x2) → 2710_0_sortedHigh_Return
2619_0_sortedHigh_Return(x1, x2) → 2619_0_sortedHigh_Return
2478_0_sortedHigh_Return(x1, x2, x3, x4) → 2478_0_sortedHigh_Return(x3)
Cond_2457_0_sortedHigh_NONNULL1(x1, x2, x3, x4, x5) → Cond_2457_0_sortedHigh_NONNULL1(x1, x3, x4, x5)
Cond_2457_0_sortedHigh_NONNULL(x1, x2, x3, x4, x5) → Cond_2457_0_sortedHigh_NONNULL(x1, x3, x4, x5)
2441_1_quicksort_InvokeMethod(x1, x2, x3, x4) → 2441_1_quicksort_InvokeMethod(x1, x4)
2381_0_sortedLow_Return(x1, x2, x3, x4) → 2381_0_sortedLow_Return(x3)
2450_1_sortedLow_InvokeMethod(x1, x2, x3, x4, x5, x6, x7, x8) → 2450_1_sortedLow_InvokeMethod(x1, x2, x3, x6, x7, x8)
2397_0_sortedLow_GT(x1, x2, x3, x4, x5) → 2397_0_sortedLow_GT(x2, x3, x4, x5)
Cond_2397_0_sortedLow_GT1(x1, x2, x3, x4, x5, x6) → Cond_2397_0_sortedLow_GT1(x1, x3, x4, x5, x6)
Cond_2397_0_sortedLow_GT(x1, x2, x3, x4, x5, x6) → Cond_2397_0_sortedLow_GT(x1, x3, x4, x5, x6)
3073_0_quicksort_Return(x1, x2) → 3073_0_quicksort_Return
2660_0_quicksort_Return(x1, x2) → 2660_0_quicksort_Return
2260_0_quicksort_Return(x1, x2, x3) → 2260_0_quicksort_Return

Filtered duplicate args:



2218_0_quicksort_NONNULL(x1, x2) → 2218_0_quicksort_NONNULL(x2)
2337_1_quicksort_InvokeMethod(x1, x2, x3, x4) → 2337_1_quicksort_InvokeMethod(x1, x2)
2397_0_sortedLow_GT(x1, x2, x3, x4) → 2397_0_sortedLow_GT(x1, x4)
Cond_2397_0_sortedLow_GT(x1, x2, x3, x4, x5) → Cond_2397_0_sortedLow_GT(x1, x2, x5)
Cond_2397_0_sortedLow_GT1(x1, x2, x3, x4, x5) → Cond_2397_0_sortedLow_GT1(x1, x2, x5)
2450_1_sortedLow_InvokeMethod(x1, x2, x3, x4, x5, x6) → 2450_1_sortedLow_InvokeMethod(x1, x2, x6)
2610_1_sortedLow_InvokeMethod(x1, x2, x3, x4) → 2610_1_sortedLow_InvokeMethod(x1, x3, x4)
2457_0_sortedHigh_NONNULL(x1, x2, x3) → 2457_0_sortedHigh_NONNULL(x2, x3)
Cond_2457_0_sortedHigh_NONNULL(x1, x2, x3, x4) → Cond_2457_0_sortedHigh_NONNULL(x1, x3, x4)
Cond_2457_0_sortedHigh_NONNULL1(x1, x2, x3, x4) → Cond_2457_0_sortedHigh_NONNULL1(x1, x3, x4)
2613_1_sortedHigh_InvokeMethod(x1, x2, x3, x4, x5, x6) → 2613_1_sortedHigh_InvokeMethod(x1, x2, x6)
2832_1_sortedHigh_InvokeMethod(x1, x2, x3, x4) → 2832_1_sortedHigh_InvokeMethod(x1, x3, x4)

Filtered unneeded arguments:



2441_1_quicksort_InvokeMethod(x1, x2) → 2441_1_quicksort_InvokeMethod(x1)
2582_1_sortedHigh_InvokeMethod(x1, x2, x3) → 2582_1_sortedHigh_InvokeMethod(x1, x2)
2613_1_sortedHigh_InvokeMethod(x1, x2, x3) → 2613_1_sortedHigh_InvokeMethod(x1, x2)
2832_1_sortedHigh_InvokeMethod(x1, x2, x3) → 2832_1_sortedHigh_InvokeMethod(x1, x3)
3085_1_sortedHigh_InvokeMethod(x1, x2, x3, x4) → 3085_1_sortedHigh_InvokeMethod(x1, x2, x4)
2861_1_quicksort_InvokeMethod(x1, x2, x3) → 2861_1_quicksort_InvokeMethod(x1, x2)
2886_0_sortedHigh_Return(x1, x2) → 2886_0_sortedHigh_Return(x1)
3123_0_sortedHigh_Return(x1, x2) → 3123_0_sortedHigh_Return(x1)

Combined rules. Obtained 23 conditional rules for P and 24 conditional rules for R.


P rules:
2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2337_1_quicksort_InvokeMethod(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2434_1_sortedLow_InvokeMethod(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3), java.lang.Object(QuicksortRec.List(x0, x1)), x3) | <(x3, x2)
2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2450_1_sortedLow_InvokeMethod(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) | >=(x3, x2)
2450_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1)), x0) → 2610_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))), x0, java.lang.Object(QuicksortRec.List(NULL, x1)))
2450_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)), x2) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)), x2, java.lang.Object(QuicksortRec.List(NULL, x1)))
2450_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(NULL, x3)))
2450_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4, java.lang.Object(QuicksortRec.List(NULL, x3)))
2450_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2)), x1) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2)), x1, java.lang.Object(QuicksortRec.List(NULL, x2)))
2450_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4)), x3) → 2911_1_sortedLow_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4)), x3, java.lang.Object(QuicksortRec.List(NULL, x4)))
2337_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2441_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x0, NULL))
2457_0_sortedHigh_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2582_1_sortedHigh_InvokeMethod(2457_0_sortedHigh_NONNULL(x2, x0), x0) | >=(x2, x1)
2457_0_sortedHigh_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2613_1_sortedHigh_InvokeMethod(2457_0_sortedHigh_NONNULL(x2, x0), java.lang.Object(QuicksortRec.List(x0, x1))) | <(x2, x1)
2613_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1))) → 2832_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))), java.lang.Object(QuicksortRec.List(NULL, x1)))
2613_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)), java.lang.Object(QuicksortRec.List(NULL, x1)))
2613_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), java.lang.Object(QuicksortRec.List(NULL, x3)))
2613_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), java.lang.Object(QuicksortRec.List(NULL, x3)))
2613_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2))) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2)), java.lang.Object(QuicksortRec.List(NULL, x2)))
2613_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4))) → 3085_1_sortedHigh_InvokeMethod(2218_0_quicksort_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4)), java.lang.Object(QuicksortRec.List(NULL, x4)))
2337_1_quicksort_InvokeMethod(2453_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0)))
2337_1_quicksort_InvokeMethod(2531_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2337_1_quicksort_InvokeMethod(2810_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2337_1_quicksort_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0)))
2337_1_quicksort_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2861_1_quicksort_InvokeMethod(2457_0_sortedHigh_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
R rules:
2218_0_quicksort_NONNULL(NULL) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(x0), NULL, x0) → 2453_0_sortedLow_Return
2434_1_sortedLow_InvokeMethod(2453_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2810_0_sortedLow_Return
2434_1_sortedLow_InvokeMethod(2531_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2810_0_sortedLow_Return
2434_1_sortedLow_InvokeMethod(2810_0_sortedLow_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2810_0_sortedLow_Return
2610_1_sortedLow_InvokeMethod(2660_0_quicksort_Return, x1, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2810_0_sortedLow_Return
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2810_0_sortedLow_Return
2911_1_sortedLow_InvokeMethod(2660_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(NULL, x2))) → 3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
2457_0_sortedHigh_NONNULL(x0, NULL) → 2478_0_sortedHigh_Return(x0)
2582_1_sortedHigh_InvokeMethod(2478_0_sortedHigh_Return(x0), NULL) → 2619_0_sortedHigh_Return
2582_1_sortedHigh_InvokeMethod(2619_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2999_0_sortedHigh_Return
2582_1_sortedHigh_InvokeMethod(2710_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2999_0_sortedHigh_Return
2582_1_sortedHigh_InvokeMethod(2999_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2999_0_sortedHigh_Return
2832_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2999_0_sortedHigh_Return
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2999_0_sortedHigh_Return
3085_1_sortedHigh_InvokeMethod(2660_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), java.lang.Object(QuicksortRec.List(NULL, x2))) → 3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2441_1_quicksort_InvokeMethod(2478_0_sortedHigh_Return(x0)) → 2660_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2619_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 3073_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2710_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 3073_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2999_0_sortedHigh_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 3073_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 3073_0_quicksort_Return
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 3073_0_quicksort_Return

Performed bisimulation on rules. Used the following equivalence classes: {[2381_0_sortedLow_Return_1, 2478_0_sortedHigh_Return_1]=2381_0_sortedLow_Return_1, [2260_0_quicksort_Return, 2453_0_sortedLow_Return, 2810_0_sortedLow_Return, 2531_0_sortedLow_Return, 2660_0_quicksort_Return, 2619_0_sortedHigh_Return, 2999_0_sortedHigh_Return, 2710_0_sortedHigh_Return, 3073_0_quicksort_Return]=2260_0_quicksort_Return}


Finished conversion. Obtained 27 rules for P and 21 rules for R. System has predefined symbols.


P rules:
2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x2)
2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → COND_2397_0_SORTEDLOW_GT(<(x3, x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3)
2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → COND_2397_0_SORTEDLOW_GT1(>=(x3, x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3)
2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1)), x0) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1)))
2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)), x2) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1)))
2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3)))
2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2)), x1) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2)))
2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4)), x3) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4)))
2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2457_0_SORTEDHIGH_NONNULL(x0, NULL)
2457_0_SORTEDHIGH_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2, x1), x2, java.lang.Object(QuicksortRec.List(x0, x1)))
COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2457_0_SORTEDHIGH_NONNULL(x2, x0)
2457_0_SORTEDHIGH_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2, x1), x2, java.lang.Object(QuicksortRec.List(x0, x1)))
COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2, x0), java.lang.Object(QuicksortRec.List(x0, x1)))
COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2457_0_SORTEDHIGH_NONNULL(x2, x0)
2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1)))
2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1)))
2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3)))
2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2)))
2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4)))
2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2457_0_SORTEDHIGH_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0)))
2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2457_0_SORTEDHIGH_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2457_0_SORTEDHIGH_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0)))
2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2457_0_SORTEDHIGH_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
R rules:
2218_0_quicksort_NONNULL(NULL) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(x0), NULL, x0) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2260_0_quicksort_Return
2610_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, x1, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2260_0_quicksort_Return
2911_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(NULL, x2))) → 3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
2457_0_sortedHigh_NONNULL(x0, NULL) → 2381_0_sortedLow_Return(x0)
2582_1_sortedHigh_InvokeMethod(2381_0_sortedLow_Return(x0), NULL) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
2832_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
3085_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), java.lang.Object(QuicksortRec.List(NULL, x2))) → 3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2441_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(x0)) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return

(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


The ITRS R consists of the following rules:
2218_0_quicksort_NONNULL(NULL) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(x0), NULL, x0) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2260_0_quicksort_Return
2610_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, x1, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(NULL, x0)), x1) → 2260_0_quicksort_Return
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2260_0_quicksort_Return
2911_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(NULL, x2))) → 3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
2457_0_sortedHigh_NONNULL(x0, NULL) → 2381_0_sortedLow_Return(x0)
2582_1_sortedHigh_InvokeMethod(2381_0_sortedLow_Return(x0), NULL) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
2832_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
3085_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), java.lang.Object(QuicksortRec.List(NULL, x2))) → 3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2441_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(x0)) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2260_0_quicksort_Return
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2260_0_quicksort_Return

The integer pair graph contains the following rules and edges:
(0): 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))
(1): 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])
(2): 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(x3[2] < x2[2], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])
(3): COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])
(4): 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(x3[4] >= x2[4], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])
(5): COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])
(6): COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])
(7): 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7])))
(8): 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8])))
(9): 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9])))
(10): 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10])))
(11): 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11])))
(12): 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12]))) → 2457_0_SORTEDHIGH_NONNULL(x0[12], NULL)
(13): 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(x2[13] >= x1[13], x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))
(14): COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14]))) → 2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])
(15): 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(x2[15] < x1[15], x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))
(16): COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))
(17): COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17]))) → 2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])
(18): 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18])))
(19): 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19])))
(20): 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20])))
(21): 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21])))
(22): 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22])))
(23): 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23]))) → 2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23])))
(24): 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24]))) → 2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])))
(25): 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]))) → 2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25])))
(26): 2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]))) → 2457_0_SORTEDHIGH_NONNULL(x3[26], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])))

(0) -> (12), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]) →* 2381_0_sortedLow_Return(x0[12])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) →* java.lang.Object(QuicksortRec.List(NULL, x0[12])))


(0) -> (23), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23])))


(0) -> (24), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24])))


(0) -> (25), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]) →* 2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])))


(0) -> (26), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]) →* 3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26])))


(1) -> (2), if (java.lang.Object(QuicksortRec.List(x0[1], x1[1])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))∧x2[1]* x3[2])


(1) -> (4), if (java.lang.Object(QuicksortRec.List(x0[1], x1[1])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))∧x2[1]* x3[4])


(2) -> (3), if (x3[2] < x2[2]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3]))∧x3[2]* x3[3])


(3) -> (2), if (java.lang.Object(QuicksortRec.List(x0[3], x1[3])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))∧x3[3]* x3[2])


(3) -> (4), if (java.lang.Object(QuicksortRec.List(x0[3], x1[3])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))∧x3[3]* x3[4])


(4) -> (5), if (x3[4] >= x2[4]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))∧x3[4]* x3[5])


(4) -> (6), if (x3[4] >= x2[4]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6]))∧x3[4]* x3[6])


(5) -> (7), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]) →* 2381_0_sortedLow_Return(x0[7])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])) →* java.lang.Object(QuicksortRec.List(NULL, x1[7]))∧x3[5]* x0[7])


(5) -> (8), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8]))∧x3[5]* x2[8])


(5) -> (9), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9]))∧x3[5]* x4[9])


(5) -> (10), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]) →* 2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10]))∧x3[5]* x1[10])


(5) -> (11), if (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]) →* 3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11]))∧x3[5]* x3[11])


(6) -> (2), if (java.lang.Object(QuicksortRec.List(x0[6], x1[6])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))∧x3[6]* x3[2])


(6) -> (4), if (java.lang.Object(QuicksortRec.List(x0[6], x1[6])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))∧x3[6]* x3[4])


(7) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x1[7])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(7) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x1[7])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(8) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x1[8])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(8) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x1[8])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(9) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x3[9])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(9) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x3[9])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(10) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x2[10])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(10) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x2[10])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(11) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x4[11])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(11) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x4[11])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(12) -> (13), if (x0[12]* x2[13]NULL* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(12) -> (15), if (x0[12]* x2[15]NULL* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(13) -> (14), if (x2[13] >= x1[13]x2[13]* x2[14]java.lang.Object(QuicksortRec.List(x0[13], x1[13])) →* java.lang.Object(QuicksortRec.List(x0[14], x1[14])))


(14) -> (13), if (x2[14]* x2[13]x0[14]* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(14) -> (15), if (x2[14]* x2[15]x0[14]* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(15) -> (16), if (x2[15] < x1[15]x2[15]* x2[16]java.lang.Object(QuicksortRec.List(x0[15], x1[15])) →* java.lang.Object(QuicksortRec.List(x0[16], x1[16])))


(15) -> (17), if (x2[15] < x1[15]x2[15]* x2[17]java.lang.Object(QuicksortRec.List(x0[15], x1[15])) →* java.lang.Object(QuicksortRec.List(x0[17], x1[17])))


(16) -> (18), if (2457_0_sortedHigh_NONNULL(x2[16], x0[16]) →* 2381_0_sortedLow_Return(x0[18])∧java.lang.Object(QuicksortRec.List(x0[16], x1[16])) →* java.lang.Object(QuicksortRec.List(NULL, x1[18])))


(16) -> (19), if (2457_0_sortedHigh_NONNULL(x2[16], x0[16]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19])))


(16) -> (20), if (2457_0_sortedHigh_NONNULL(x2[16], x0[16]) →* 2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20])))


(16) -> (21), if (2457_0_sortedHigh_NONNULL(x2[16], x0[16]) →* 2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21])))


(16) -> (22), if (2457_0_sortedHigh_NONNULL(x2[16], x0[16]) →* 3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22])))


(17) -> (13), if (x2[17]* x2[13]x0[17]* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(17) -> (15), if (x2[17]* x2[15]x0[17]* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(18) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x1[18])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(18) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x1[18])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(19) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x1[19])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(19) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x1[19])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(20) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x3[20])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(20) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x3[20])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(21) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x2[21])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(21) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x2[21])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(22) -> (0), if (java.lang.Object(QuicksortRec.List(NULL, x4[22])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))


(22) -> (1), if (java.lang.Object(QuicksortRec.List(NULL, x4[22])) →* java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))


(23) -> (13), if (x1[23]* x2[13]java.lang.Object(QuicksortRec.List(NULL, x0[23])) →* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(23) -> (15), if (x1[23]* x2[15]java.lang.Object(QuicksortRec.List(NULL, x0[23])) →* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(24) -> (13), if (x3[24]* x2[13]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])) →* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(24) -> (15), if (x3[24]* x2[15]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])) →* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(25) -> (13), if (x1[25]* x2[13]java.lang.Object(QuicksortRec.List(NULL, x0[25])) →* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(25) -> (15), if (x1[25]* x2[15]java.lang.Object(QuicksortRec.List(NULL, x0[25])) →* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))


(26) -> (13), if (x3[26]* x2[13]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])) →* java.lang.Object(QuicksortRec.List(x0[13], x1[13])))


(26) -> (15), if (x3[26]* x2[15]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])) →* java.lang.Object(QuicksortRec.List(x0[15], x1[15])))



The set Q consists of the following terms:
2218_0_quicksort_NONNULL(NULL)
2434_1_sortedLow_InvokeMethod(2381_0_sortedLow_Return(x0), NULL, x0)
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)), x1)
2434_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
2610_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, x0, java.lang.Object(QuicksortRec.List(NULL, x1)))
2434_1_sortedLow_InvokeMethod(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(NULL, x0)), x1)
2434_1_sortedLow_InvokeMethod(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)
2911_1_sortedLow_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3, java.lang.Object(QuicksortRec.List(NULL, x2)))
2457_0_sortedHigh_NONNULL(x0, NULL)
2582_1_sortedHigh_InvokeMethod(2381_0_sortedLow_Return(x0), NULL)
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2832_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0)))
2582_1_sortedHigh_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
3085_1_sortedHigh_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), java.lang.Object(QuicksortRec.List(NULL, x2)))
2441_1_quicksort_InvokeMethod(2381_0_sortedLow_Return(x0))
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(NULL, x0)))
2861_1_quicksort_InvokeMethod(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))
2861_1_quicksort_InvokeMethod(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(NULL, x0)))
2861_1_quicksort_InvokeMethod(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)))

(8) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: true Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpDefaultShapeHeuristic@32fde63f Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 1 Max Right Steps: 1

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 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) the following chains were created:
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (1)    (java.lang.Object(QuicksortRec.List(NULL, x1[7]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (1) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (2)    (java.lang.Object(QuicksortRec.List(NULL, x1[8]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (2) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (3)    (java.lang.Object(QuicksortRec.List(NULL, x3[9]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (3) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (4)    (java.lang.Object(QuicksortRec.List(NULL, x2[10]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (4) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (5)    (java.lang.Object(QuicksortRec.List(NULL, x4[11]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (5) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (6)    (java.lang.Object(QuicksortRec.List(NULL, x1[18]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (6) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (7)    (java.lang.Object(QuicksortRec.List(NULL, x1[19]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (7) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (8)    (java.lang.Object(QuicksortRec.List(NULL, x3[20]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (8) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (9)    (java.lang.Object(QuicksortRec.List(NULL, x2[21]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (9) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (10)    (java.lang.Object(QuicksortRec.List(NULL, x4[22]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))≥2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))∧(UIncreasing(2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])))), ≥))



    We solved constraint (10) using rules (I), (II).




For Pair 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x2) the following chains were created:
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (11)    (java.lang.Object(QuicksortRec.List(NULL, x1[7]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (11) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (12)    (java.lang.Object(QuicksortRec.List(NULL, x1[8]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (12) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (13)    (java.lang.Object(QuicksortRec.List(NULL, x3[9]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (13) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (14)    (java.lang.Object(QuicksortRec.List(NULL, x2[10]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (14) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (15)    (java.lang.Object(QuicksortRec.List(NULL, x4[11]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (15) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (16)    (java.lang.Object(QuicksortRec.List(NULL, x1[18]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (16) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (17)    (java.lang.Object(QuicksortRec.List(NULL, x1[19]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (17) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (18)    (java.lang.Object(QuicksortRec.List(NULL, x3[20]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (18) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (19)    (java.lang.Object(QuicksortRec.List(NULL, x2[21]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (19) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (20)    (java.lang.Object(QuicksortRec.List(NULL, x4[22]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥NonInfC∧2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])))≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])), ≥))



    We solved constraint (20) using rules (I), (II).




For Pair 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → COND_2397_0_SORTEDLOW_GT(<(x3, x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) the following chains were created:
  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]), COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3]) which results in the following constraint:

    (21)    (<(x3[2], x2[2])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3]))∧x3[2]=x3[3]2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])≥COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥))



    We simplified constraint (21) using rules (I), (II), (IV) which results in the following new constraint:

    (22)    (<(x3[2], x2[2])=TRUE2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])≥COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥))



    We simplified constraint (22) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (23)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] ≥ 0∧[(-1)bso_91] ≥ 0)



    We simplified constraint (23) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (24)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] ≥ 0∧[(-1)bso_91] ≥ 0)



    We simplified constraint (24) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (25)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] ≥ 0∧[(-1)bso_91] ≥ 0)



    We simplified constraint (25) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (26)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_90 + (-1)Bound*bni_90] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_91] ≥ 0)







For Pair COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3) the following chains were created:
  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]), COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3]), 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) which results in the following constraint:

    (27)    (<(x3[2], x2[2])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3]))∧x3[2]=x3[3]java.lang.Object(QuicksortRec.List(x0[3], x1[3]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2]1, x1[2]1)), x2[2]1))∧x3[3]=x3[2]1COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3])≥NonInfC∧COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥))



    We simplified constraint (27) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (28)    (<(x3[2], x2[2])=TRUECOND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2]1, x1[2]1)), x1[2])), x2[2])), x3[2])≥NonInfC∧COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2]1, x1[2]1)), x1[2])), x2[2])), x3[2])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2]1, x1[2]1)), x1[2])), x3[2])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥))



    We simplified constraint (28) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (29)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (29) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (30)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (30) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (31)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (31) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (32)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_93] ≥ 0)



  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]), COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3]), 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) which results in the following constraint:

    (33)    (<(x3[2], x2[2])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3]))∧x3[2]=x3[3]java.lang.Object(QuicksortRec.List(x0[3], x1[3]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))∧x3[3]=x3[4]COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3])≥NonInfC∧COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x2[3])), x3[3])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥))



    We simplified constraint (33) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (34)    (<(x3[2], x2[2])=TRUECOND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x1[2])), x2[2])), x3[2])≥NonInfC∧COND_2397_0_SORTEDLOW_GT(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x1[2])), x2[2])), x3[2])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x1[2])), x3[2])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥))



    We simplified constraint (34) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (35)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (35) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (36)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (36) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (37)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧[(-1)bso_93] ≥ 0)



    We simplified constraint (37) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (38)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[3], x1[3])), x3[3])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_92 + (-1)Bound*bni_92] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_93] ≥ 0)







For Pair 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → COND_2397_0_SORTEDLOW_GT1(>=(x3, x2), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) the following chains were created:
  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]), COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) which results in the following constraint:

    (39)    (>=(x3[4], x2[4])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))∧x3[4]=x3[5]2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥))



    We simplified constraint (39) using rules (I), (II), (IV) which results in the following new constraint:

    (40)    (>=(x3[4], x2[4])=TRUE2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥))



    We simplified constraint (40) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (41)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (41) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (42)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (42) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (43)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (43) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (44)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_95] ≥ 0)



  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]), COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6]) which results in the following constraint:

    (45)    (>=(x3[4], x2[4])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6]))∧x3[4]=x3[6]2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥))



    We simplified constraint (45) using rules (I), (II), (IV) which results in the following new constraint:

    (46)    (>=(x3[4], x2[4])=TRUE2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥NonInfC∧2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])∧(UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥))



    We simplified constraint (46) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (47)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (47) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (48)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (48) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (49)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧[(-1)bso_95] ≥ 0)



    We simplified constraint (49) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (50)    (0 ≥ 0 ⇒ (UIncreasing(COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_94 + (-1)Bound*bni_94] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_95] ≥ 0)







For Pair COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) the following chains were created:
  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]), COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) which results in the following constraint:

    (51)    (>=(x3[4], x2[4])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))∧x3[4]=x3[5]COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])≥2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])∧(UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥))



    We simplified constraint (51) using rules (I), (II), (III) which results in the following new constraint:

    (52)    (>=(x3[4], x2[4])=TRUECOND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])≥2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x3[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4])∧(UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥))



    We simplified constraint (52) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (53)    (0 ≥ 0 ⇒ (UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥)∧[(-1)bni_96 + (-1)Bound*bni_96] ≥ 0∧[1 + (-1)bso_97] + x3[4] ≥ 0)



    We simplified constraint (53) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (54)    (0 ≥ 0 ⇒ (UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥)∧[(-1)bni_96 + (-1)Bound*bni_96] ≥ 0∧[1 + (-1)bso_97] + x3[4] ≥ 0)



    We simplified constraint (54) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (55)    (0 ≥ 0 ⇒ (UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥)∧[(-1)bni_96 + (-1)Bound*bni_96] ≥ 0∧[1 + (-1)bso_97] + x3[4] ≥ 0)



    We simplified constraint (55) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (56)    (0 ≥ 0 ⇒ (UIncreasing(2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_96 + (-1)Bound*bni_96] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_97] ≥ 0)







For Pair COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0, x1)), x3) the following chains were created:
  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]), COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6]), 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) → COND_2397_0_SORTEDLOW_GT(<(x3[2], x2[2]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2])), x3[2]) which results in the following constraint:

    (57)    (>=(x3[4], x2[4])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6]))∧x3[4]=x3[6]java.lang.Object(QuicksortRec.List(x0[6], x1[6]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x2[2]))∧x3[6]=x3[2]COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥))



    We simplified constraint (57) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (58)    (>=(x3[4], x2[4])=TRUECOND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x1[4])), x2[4])), x3[4])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x1[4])), x2[4])), x3[4])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[2], x1[2])), x1[4])), x3[4])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥))



    We simplified constraint (58) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (59)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (59) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (60)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (60) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (61)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (61) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (62)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)



  • We consider the chain 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]), COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6]) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6]), 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) → COND_2397_0_SORTEDLOW_GT1(>=(x3[4], x2[4]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4])), x3[4]) which results in the following constraint:

    (63)    (>=(x3[4], x2[4])=TRUEjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4], x1[4])), x2[4]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6]))∧x3[4]=x3[6]java.lang.Object(QuicksortRec.List(x0[6], x1[6]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4]1, x1[4]1)), x2[4]1))∧x3[6]=x3[4]1COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x2[6])), x3[6])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥))



    We simplified constraint (63) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (64)    (>=(x3[4], x2[4])=TRUECOND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4]1, x1[4]1)), x1[4])), x2[4])), x3[4])≥NonInfC∧COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4]1, x1[4]1)), x1[4])), x2[4])), x3[4])≥2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[4]1, x1[4]1)), x1[4])), x3[4])∧(UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥))



    We simplified constraint (64) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (65)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (65) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (66)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (66) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (67)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧[(-1)bso_99] ≥ 0)



    We simplified constraint (67) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (68)    (0 ≥ 0 ⇒ (UIncreasing(2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[6], x1[6])), x3[6])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_98 + (-1)Bound*bni_98] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_99] ≥ 0)







For Pair 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1)), x0) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))) the following chains were created:
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (69)    (java.lang.Object(QuicksortRec.List(NULL, x1[7]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7])))), ≥))



    We solved constraint (69) using rules (I), (II).
  • We consider the chain 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (70)    (java.lang.Object(QuicksortRec.List(NULL, x1[7]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2381_0_sortedLow_Return(x0[7]), java.lang.Object(QuicksortRec.List(NULL, x1[7])), x0[7])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[7])))), ≥))



    We solved constraint (70) using rules (I), (II).




For Pair 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1)), x2) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))) the following chains were created:
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (71)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8]))∧x3[5]=x2[8]java.lang.Object(QuicksortRec.List(NULL, x1[8]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8])))), ≥))



    We solved constraint (71) using rules (I), (II).
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (72)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8]))∧x3[5]=x2[8]java.lang.Object(QuicksortRec.List(NULL, x1[8]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[8])), x1[8])), x2[8])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[8])))), ≥))



    We solved constraint (72) using rules (I), (II).




For Pair 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3)), x4) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))) the following chains were created:
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (73)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9]))∧x3[5]=x4[9]java.lang.Object(QuicksortRec.List(NULL, x3[9]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9])))), ≥))



    We solved constraint (73) using rules (I), (II).
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (74)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9]))∧x3[5]=x4[9]java.lang.Object(QuicksortRec.List(NULL, x3[9]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[9], x1[9])), x2[9])), x3[9])), x4[9])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[9])))), ≥))



    We solved constraint (74) using rules (I), (II).




For Pair 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2)), x1) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2))) the following chains were created:
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (75)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10]))∧x3[5]=x1[10]java.lang.Object(QuicksortRec.List(NULL, x2[10]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10])))), ≥))



    We solved constraint (75) using rules (I), (II).
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (76)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10]))∧x3[5]=x1[10]java.lang.Object(QuicksortRec.List(NULL, x2[10]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x1[10]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[10])), x2[10])), x1[10])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[10])))), ≥))



    We solved constraint (76) using rules (I), (II).




For Pair 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4)), x3) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4))) the following chains were created:
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (77)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11]))∧x3[5]=x3[11]java.lang.Object(QuicksortRec.List(NULL, x4[11]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11])))), ≥))



    We solved constraint (77) using rules (I), (II).
  • We consider the chain COND_2397_0_SORTEDLOW_GT1(TRUE, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]) → 2450_1_SORTEDLOW_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5])), x3[5]), 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11]) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (78)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x3[5])=3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[5], x1[5])), x2[5]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11]))∧x3[5]=x3[11]java.lang.Object(QuicksortRec.List(NULL, x4[11]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11])≥NonInfC∧2450_1_SORTEDLOW_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x3[11]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[11], x1[11])), x2[11])), x4[11])), x3[11])≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[11])))), ≥))



    We solved constraint (78) using rules (I), (II).




For Pair 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x0))) → 2457_0_SORTEDHIGH_NONNULL(x0, NULL) the following chains were created:
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12]))) → 2457_0_SORTEDHIGH_NONNULL(x0[12], NULL), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (79)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2381_0_sortedLow_Return(x0[12])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(NULL, x0[12]))∧x0[12]=x2[13]NULL=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12])))≥2457_0_SORTEDHIGH_NONNULL(x0[12], NULL)∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x0[12], NULL)), ≥))



    We solved constraint (79) using rules (I), (II).
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12]))) → 2457_0_SORTEDHIGH_NONNULL(x0[12], NULL), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (80)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2381_0_sortedLow_Return(x0[12])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(NULL, x0[12]))∧x0[12]=x2[15]NULL=java.lang.Object(QuicksortRec.List(x0[15], x1[15])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2381_0_sortedLow_Return(x0[12]), java.lang.Object(QuicksortRec.List(NULL, x0[12])))≥2457_0_SORTEDHIGH_NONNULL(x0[12], NULL)∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x0[12], NULL)), ≥))



    We solved constraint (80) using rules (I), (II).




For Pair 2457_0_SORTEDHIGH_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2, x1), x2, java.lang.Object(QuicksortRec.List(x0, x1))) the following chains were created:
  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))), COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14]))) → 2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14]) which results in the following constraint:

    (81)    (>=(x2[13], x1[13])=TRUEx2[13]=x2[14]java.lang.Object(QuicksortRec.List(x0[13], x1[13]))=java.lang.Object(QuicksortRec.List(x0[14], x1[14])) ⇒ 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))≥COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥))



    We simplified constraint (81) using rules (I), (II), (IV) which results in the following new constraint:

    (82)    (>=(x2[13], x1[13])=TRUE2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))≥COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥))



    We simplified constraint (82) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (83)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥)∧[(-1)bni_100 + (-1)Bound*bni_100] + [(-1)bni_100]x2[13] ≥ 0∧[(-1)bso_101] ≥ 0)



    We simplified constraint (83) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (84)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥)∧[(-1)bni_100 + (-1)Bound*bni_100] + [(-1)bni_100]x2[13] ≥ 0∧[(-1)bso_101] ≥ 0)



    We simplified constraint (84) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (85)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥)∧[(-1)bni_100 + (-1)Bound*bni_100] + [(-1)bni_100]x2[13] ≥ 0∧[(-1)bso_101] ≥ 0)



    We simplified constraint (85) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (86)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_100] ≥ 0∧[(-1)bni_100 + (-1)Bound*bni_100] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_101] ≥ 0)







For Pair COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2457_0_SORTEDHIGH_NONNULL(x2, x0) the following chains were created:
  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))), COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14]))) → 2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14]), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (87)    (>=(x2[13], x1[13])=TRUEx2[13]=x2[14]java.lang.Object(QuicksortRec.List(x0[13], x1[13]))=java.lang.Object(QuicksortRec.List(x0[14], x1[14]))∧x2[14]=x2[13]1x0[14]=java.lang.Object(QuicksortRec.List(x0[13]1, x1[13]1)) ⇒ COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14])))≥2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥))



    We simplified constraint (87) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (88)    (>=(x2[13], x1[13])=TRUECOND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[13], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[13]1, x1[13]1)), x1[13])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[13], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[13]1, x1[13]1)), x1[13])))≥2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13]1, x1[13]1)))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥))



    We simplified constraint (88) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (89)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (89) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (90)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (90) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (91)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (91) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (92)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_102] ≥ 0∧[(-1)bni_102 + (-1)Bound*bni_102] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)



  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))), COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14]))) → 2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14]), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (93)    (>=(x2[13], x1[13])=TRUEx2[13]=x2[14]java.lang.Object(QuicksortRec.List(x0[13], x1[13]))=java.lang.Object(QuicksortRec.List(x0[14], x1[14]))∧x2[14]=x2[15]x0[14]=java.lang.Object(QuicksortRec.List(x0[15], x1[15])) ⇒ COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[14], java.lang.Object(QuicksortRec.List(x0[14], x1[14])))≥2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥))



    We simplified constraint (93) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (94)    (>=(x2[13], x1[13])=TRUECOND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[13], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[15], x1[15])), x1[13])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL(TRUE, x2[13], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[15], x1[15])), x1[13])))≥2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥))



    We simplified constraint (94) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (95)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (95) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (96)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (96) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (97)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧[(-1)bni_102 + (-1)Bound*bni_102] + [(-1)bni_102]x2[13] ≥ 0∧[(-1)bso_103] ≥ 0)



    We simplified constraint (97) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (98)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[14], x0[14])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_102] ≥ 0∧[(-1)bni_102 + (-1)Bound*bni_102] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_103] ≥ 0)







For Pair 2457_0_SORTEDHIGH_NONNULL(x2, java.lang.Object(QuicksortRec.List(x0, x1))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2, x1), x2, java.lang.Object(QuicksortRec.List(x0, x1))) the following chains were created:
  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))), COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) which results in the following constraint:

    (99)    (<(x2[15], x1[15])=TRUEx2[15]=x2[16]java.lang.Object(QuicksortRec.List(x0[15], x1[15]))=java.lang.Object(QuicksortRec.List(x0[16], x1[16])) ⇒ 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥))



    We simplified constraint (99) using rules (I), (II), (IV) which results in the following new constraint:

    (100)    (<(x2[15], x1[15])=TRUE2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥))



    We simplified constraint (100) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (101)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (101) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (102)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (102) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (103)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (103) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (104)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_104] ≥ 0∧[(-1)bni_104 + (-1)Bound*bni_104] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0)



  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))), COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17]))) → 2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17]) which results in the following constraint:

    (105)    (<(x2[15], x1[15])=TRUEx2[15]=x2[17]java.lang.Object(QuicksortRec.List(x0[15], x1[15]))=java.lang.Object(QuicksortRec.List(x0[17], x1[17])) ⇒ 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥))



    We simplified constraint (105) using rules (I), (II), (IV) which results in the following new constraint:

    (106)    (<(x2[15], x1[15])=TRUE2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥NonInfC∧2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥))



    We simplified constraint (106) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (107)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (107) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (108)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (108) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (109)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧[(-1)bni_104 + (-1)Bound*bni_104] + [(-1)bni_104]x2[15] ≥ 0∧[(-1)bso_105] ≥ 0)



    We simplified constraint (109) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (110)    (0 ≥ 0 ⇒ (UIncreasing(COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_104] ≥ 0∧[(-1)bni_104 + (-1)Bound*bni_104] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_105] ≥ 0)







For Pair COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2, x0), java.lang.Object(QuicksortRec.List(x0, x1))) the following chains were created:
  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))), COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) which results in the following constraint:

    (111)    (<(x2[15], x1[15])=TRUEx2[15]=x2[16]java.lang.Object(QuicksortRec.List(x0[15], x1[15]))=java.lang.Object(QuicksortRec.List(x0[16], x1[16])) ⇒ COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16])))≥2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))∧(UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥))



    We simplified constraint (111) using rules (I), (II), (III) which results in the following new constraint:

    (112)    (<(x2[15], x1[15])=TRUECOND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15])))≥2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[15], x0[15]), java.lang.Object(QuicksortRec.List(x0[15], x1[15])))∧(UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥))



    We simplified constraint (112) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (113)    (0 ≥ 0 ⇒ (UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥)∧[(-1)bni_106 + (-1)Bound*bni_106] + [(-1)bni_106]x2[15] ≥ 0∧[1 + (-1)bso_107] ≥ 0)



    We simplified constraint (113) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (114)    (0 ≥ 0 ⇒ (UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥)∧[(-1)bni_106 + (-1)Bound*bni_106] + [(-1)bni_106]x2[15] ≥ 0∧[1 + (-1)bso_107] ≥ 0)



    We simplified constraint (114) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (115)    (0 ≥ 0 ⇒ (UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥)∧[(-1)bni_106 + (-1)Bound*bni_106] + [(-1)bni_106]x2[15] ≥ 0∧[1 + (-1)bso_107] ≥ 0)



    We simplified constraint (115) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (116)    (0 ≥ 0 ⇒ (UIncreasing(2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16])))), ≥)∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_106] ≥ 0∧[(-1)bni_106 + (-1)Bound*bni_106] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[1 + (-1)bso_107] ≥ 0)







For Pair COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2, java.lang.Object(QuicksortRec.List(x0, x1))) → 2457_0_SORTEDHIGH_NONNULL(x2, x0) the following chains were created:
  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))), COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17]))) → 2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17]), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (117)    (<(x2[15], x1[15])=TRUEx2[15]=x2[17]java.lang.Object(QuicksortRec.List(x0[15], x1[15]))=java.lang.Object(QuicksortRec.List(x0[17], x1[17]))∧x2[17]=x2[13]x0[17]=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17])))≥2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥))



    We simplified constraint (117) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (118)    (<(x2[15], x1[15])=TRUECOND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[13], x1[13])), x1[15])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[13], x1[13])), x1[15])))≥2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[13], x1[13])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥))



    We simplified constraint (118) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (119)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (119) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (120)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (120) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (121)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (121) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (122)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_108] ≥ 0∧[(-1)bni_108 + (-1)Bound*bni_108] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)



  • We consider the chain 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))), COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17]))) → 2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17]), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (123)    (<(x2[15], x1[15])=TRUEx2[15]=x2[17]java.lang.Object(QuicksortRec.List(x0[15], x1[15]))=java.lang.Object(QuicksortRec.List(x0[17], x1[17]))∧x2[17]=x2[15]1x0[17]=java.lang.Object(QuicksortRec.List(x0[15]1, x1[15]1)) ⇒ COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[17], java.lang.Object(QuicksortRec.List(x0[17], x1[17])))≥2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥))



    We simplified constraint (123) using rules (I), (II), (III), (IV) which results in the following new constraint:

    (124)    (<(x2[15], x1[15])=TRUECOND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[15]1, x1[15]1)), x1[15])))≥NonInfC∧COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[15], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[15]1, x1[15]1)), x1[15])))≥2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15]1, x1[15]1)))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥))



    We simplified constraint (124) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

    (125)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (125) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

    (126)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (126) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

    (127)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧[(-1)bni_108 + (-1)Bound*bni_108] + [(-1)bni_108]x2[15] ≥ 0∧[(-1)bso_109] ≥ 0)



    We simplified constraint (127) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

    (128)    (0 ≥ 0 ⇒ (UIncreasing(2457_0_SORTEDHIGH_NONNULL(x2[17], x0[17])), ≥)∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_108] ≥ 0∧[(-1)bni_108 + (-1)Bound*bni_108] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_109] ≥ 0)







For Pair 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0), java.lang.Object(QuicksortRec.List(NULL, x1))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))) the following chains were created:
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (129)    (java.lang.Object(QuicksortRec.List(NULL, x1[18]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18])))), ≥))



    We solved constraint (129) using rules (I), (II).
  • We consider the chain 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (130)    (java.lang.Object(QuicksortRec.List(NULL, x1[18]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2381_0_sortedLow_Return(x0[18]), java.lang.Object(QuicksortRec.List(NULL, x1[18])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[18])))), ≥))



    We solved constraint (130) using rules (I), (II).




For Pair 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1))) the following chains were created:
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (131)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))∧java.lang.Object(QuicksortRec.List(NULL, x1[19]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19])))), ≥))



    We solved constraint (131) using rules (I), (II).
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (132)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19]))∧java.lang.Object(QuicksortRec.List(NULL, x1[19]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[19])), x1[19])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x1[19])))), ≥))



    We solved constraint (132) using rules (I), (II).




For Pair 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3))) the following chains were created:
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (133)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))∧java.lang.Object(QuicksortRec.List(NULL, x3[20]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20])))), ≥))



    We solved constraint (133) using rules (I), (II).
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (134)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20]))∧java.lang.Object(QuicksortRec.List(NULL, x3[20]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[20], x1[20])), x2[20])), x3[20])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x3[20])))), ≥))



    We solved constraint (134) using rules (I), (II).




For Pair 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x2))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2))) the following chains were created:
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (135)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))∧java.lang.Object(QuicksortRec.List(NULL, x2[21]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21])))), ≥))



    We solved constraint (135) using rules (I), (II).
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (136)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21]))∧java.lang.Object(QuicksortRec.List(NULL, x2[21]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(2886_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(NULL, x0[21]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[21])), x2[21])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x2[21])))), ≥))



    We solved constraint (136) using rules (I), (II).




For Pair 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x4))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4))) the following chains were created:
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) which results in the following constraint:

    (137)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))∧java.lang.Object(QuicksortRec.List(NULL, x4[22]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22])))), ≥))



    We solved constraint (137) using rules (I), (II).
  • We consider the chain COND_2457_0_SORTEDHIGH_NONNULL1(TRUE, x2[16], java.lang.Object(QuicksortRec.List(x0[16], x1[16]))) → 2613_1_SORTEDHIGH_INVOKEMETHOD(2457_0_sortedHigh_NONNULL(x2[16], x0[16]), java.lang.Object(QuicksortRec.List(x0[16], x1[16]))), 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))) → 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22]))), 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]))) → 2397_0_SORTEDLOW_GT(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1]) which results in the following constraint:

    (138)    (2457_0_sortedHigh_NONNULL(x2[16], x0[16])=3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])))∧java.lang.Object(QuicksortRec.List(x0[16], x1[16]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22]))∧java.lang.Object(QuicksortRec.List(NULL, x4[22]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[1], x1[1])), x2[1])) ⇒ 2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22])))≥NonInfC∧2613_1_SORTEDHIGH_INVOKEMETHOD(3123_0_sortedHigh_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22]))), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[22], x1[22])), x2[22])), x4[22])))≥2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22])))∧(UIncreasing(2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(NULL, x4[22])))), ≥))



    We solved constraint (138) using rules (I), (II).




For Pair 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2457_0_SORTEDHIGH_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0))) the following chains were created:
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23]))) → 2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23]))), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (139)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23]))∧x1[23]=x2[13]java.lang.Object(QuicksortRec.List(NULL, x0[23]))=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23])))≥2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23])))), ≥))



    We solved constraint (139) using rules (I), (II).
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23]))) → 2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23]))), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (140)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23]))∧x1[23]=x2[15]java.lang.Object(QuicksortRec.List(NULL, x0[23]))=java.lang.Object(QuicksortRec.List(x0[15], x1[15])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[23])), x1[23])))≥2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x1[23], java.lang.Object(QuicksortRec.List(NULL, x0[23])))), ≥))



    We solved constraint (140) using rules (I), (II).




For Pair 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2457_0_SORTEDHIGH_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) the following chains were created:
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24]))) → 2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24]))), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (141)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24]))∧x3[24]=x2[13]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24]))=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24])))≥2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])))), ≥))



    We solved constraint (141) using rules (I), (II).
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24]))) → 2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24]))), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (142)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2260_0_quicksort_Returnjava.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24]))∧x3[24]=x2[15]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24]))=java.lang.Object(QuicksortRec.List(x0[15], x1[15])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2260_0_quicksort_Return, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])), x3[24])))≥2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x3[24], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[24], x1[24])), x2[24])))), ≥))



    We solved constraint (142) using rules (I), (II).




For Pair 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0)), x1), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0)), x1))) → 2457_0_SORTEDHIGH_NONNULL(x1, java.lang.Object(QuicksortRec.List(NULL, x0))) the following chains were created:
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]))) → 2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25]))), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (143)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]))∧x1[25]=x2[13]java.lang.Object(QuicksortRec.List(NULL, x0[25]))=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])))≥2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25])))), ≥))



    We solved constraint (143) using rules (I), (II).
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]))) → 2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25]))), 2457_0_SORTEDHIGH_NONNULL(x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) → COND_2457_0_SORTEDHIGH_NONNULL1(<(x2[15], x1[15]), x2[15], java.lang.Object(QuicksortRec.List(x0[15], x1[15]))) which results in the following constraint:

    (144)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]))∧x1[25]=x2[15]java.lang.Object(QuicksortRec.List(NULL, x0[25]))=java.lang.Object(QuicksortRec.List(x0[15], x1[15])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(2717_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(NULL, x0[25])), x1[25])))≥2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x1[25], java.lang.Object(QuicksortRec.List(NULL, x0[25])))), ≥))



    We solved constraint (144) using rules (I), (II).




For Pair 2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2)), x3))) → 2457_0_SORTEDHIGH_NONNULL(x3, java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0, x1)), x2))) the following chains were created:
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))), 2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]))) → 2457_0_SORTEDHIGH_NONNULL(x3[26], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26]))), 2457_0_SORTEDHIGH_NONNULL(x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) → COND_2457_0_SORTEDHIGH_NONNULL(>=(x2[13], x1[13]), x2[13], java.lang.Object(QuicksortRec.List(x0[13], x1[13]))) which results in the following constraint:

    (145)    (2397_0_sortedLow_GT(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0])=3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26])∧java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))=java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]))∧x3[26]=x2[13]java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26]))=java.lang.Object(QuicksortRec.List(x0[13], x1[13])) ⇒ 2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26])))≥NonInfC∧2337_1_QUICKSORT_INVOKEMETHOD(3015_0_sortedLow_Return(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26]), java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])), x3[26])))≥2457_0_SORTEDHIGH_NONNULL(x3[26], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])))∧(UIncreasing(2457_0_SORTEDHIGH_NONNULL(x3[26], java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[26], x1[26])), x2[26])))), ≥))



    We solved constraint (145) using rules (I), (II).
  • We consider the chain 2218_0_QUICKSORT_NONNULL(java.lang.Object(QuicksortRec.List(java.lang.Object(QuicksortRec.List(x0[0], x1[0])), x2[0]))) → 2337_1_QUICKSORT_INVOKEMETHOD(2397_0_sortedLow_GT(jav