type ref;
type realVar;
type classConst;
// type Field x;
// var $HeapVar : <x>[ref, Field x]x;

const unique $null : ref ;
const unique $intArrNull : [int]int ;
const unique $realArrNull : [int]realVar ;
const unique $refArrNull : [int]ref ;

const unique $arrSizeIdx : int;
var $intArrSize : [int]int;
var $realArrSize : [realVar]int;
var $refArrSize : [ref]int;

var $stringSize : [ref]int;

//built-in axioms 
axiom ($arrSizeIdx == -1);

//note: new version doesn't put helpers in the perlude anymore//Prelude finished 



var int$Random$index0 : int;
var java.lang.String$lp$$rp$$Random$args255 : [int]ref;
var CyclicPair$CyclicPair$next254 : Field ref;


// procedure is generated by joogie.
function {:inline true} $neref(x : ref, y : ref) returns (__ret : int) {
if (x != y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $realarrtoref($param00 : [int]realVar) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $modreal($param00 : realVar, $param11 : realVar) returns (__ret : realVar);



// procedure is generated by joogie.
function {:inline true} $leref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $modint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $gtref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $eqrealarray($param00 : [int]realVar, $param11 : [int]realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $addint(x : int, y : int) returns (__ret : int) {
(x + y)
}


// procedure is generated by joogie.
function {:inline true} $subref($param00 : ref, $param11 : ref) returns (__ret : ref);



// <java.lang.String: int length()>
procedure int$java.lang.String$length$59(__this : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $inttoreal($param00 : int) returns (__ret : realVar);



// procedure is generated by joogie.
function {:inline true} $shrint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $negReal($param00 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $ushrint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $refarrtoref($param00 : [int]ref) returns (__ret : ref);



// <java.lang.Object: void <init>()>
procedure void$java.lang.Object$$la$init$ra$$28(__this : ref);



	 //  @line: 5
// <Random: int random()>
procedure int$Random$random$2231() returns (__ret : int)
  modifies $stringSize, int$Random$index0;
 {
var $i318 : int;
var $i013 : int;
var $i116 : int;
var $i217 : int;
var r015 : ref;
var $r114 : [int]ref;
	 //  @line: 6
Block33:
	 //  @line: 6
	$r114 := java.lang.String$lp$$rp$$Random$args255;
	 //  @line: 6
	$i013 := int$Random$index0;
	 assert ($geint(($i013), (0))==1);
	 assert ($ltint(($i013), ($refArrSize[$r114[$arrSizeIdx]]))==1);
	 //  @line: 6
	r015 := $r114[$i013];
	 //  @line: 7
	$i116 := int$Random$index0;
	 //  @line: 7
	$i217 := $addint(($i116), (1));
	 //  @line: 7
	int$Random$index0 := $i217;
	$i318 := $stringSize[r015];
	 //  @line: 8
	__ret := $i318;
	 return;
}


// procedure is generated by joogie.
function {:inline true} $divref($param00 : ref, $param11 : ref) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $mulref($param00 : ref, $param11 : ref) returns (__ret : ref);



// <Random: void <init>()>
procedure void$Random$$la$init$ra$$2230(__this : ref)  requires ($neref((__this), ($null))==1);
 {
var r012 : ref;
Block32:
	r012 := __this;
	 assert ($neref((r012), ($null))==1);
	 //  @line: 1
	 call void$java.lang.Object$$la$init$ra$$28((r012));
	 return;
}


// procedure is generated by joogie.
function {:inline true} $neint(x : int, y : int) returns (__ret : int) {
if (x != y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $ltreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $reftorefarr($param00 : ref) returns (__ret : [int]ref);



// procedure is generated by joogie.
function {:inline true} $gtint(x : int, y : int) returns (__ret : int) {
if (x > y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $reftoint($param00 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $addref($param00 : ref, $param11 : ref) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $xorreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $andref($param00 : ref, $param11 : ref) returns (__ret : int);



// <CyclicPair: void <init>()>
procedure void$CyclicPair$$la$init$ra$$2228(__this : ref)  requires ($neref((__this), ($null))==1);
 {
var r01 : ref;
Block16:
	r01 := __this;
	 assert ($neref((r01), ($null))==1);
	 //  @line: 1
	 call void$java.lang.Object$$la$init$ra$$28((r01));
	 return;
}


// procedure is generated by joogie.
function {:inline true} $cmpreal(x : realVar, y : realVar) returns (__ret : int) {
if ($ltreal((x), (y)) == 1) then 1 else if ($eqreal((x), (y)) == 1) then 0 else -1
}


// procedure is generated by joogie.
function {:inline true} $addreal($param00 : realVar, $param11 : realVar) returns (__ret : realVar);



// procedure is generated by joogie.
function {:inline true} $gtreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $eqreal(x : realVar, y : realVar) returns (__ret : int) {
if (x == y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $ltint(x : int, y : int) returns (__ret : int) {
if (x < y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $newvariable($param00 : int) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $divint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $geint(x : int, y : int) returns (__ret : int) {
if (x >= y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $mulint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $leint(x : int, y : int) returns (__ret : int) {
if (x <= y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $shlref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $eqrefarray($param00 : [int]ref, $param11 : [int]ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $reftointarr($param00 : ref) returns (__ret : [int]int);



// procedure is generated by joogie.
function {:inline true} $ltref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $mulreal($param00 : realVar, $param11 : realVar) returns (__ret : realVar);



	 //  @line: 2
// <Random: void <clinit>()>
procedure void$Random$$la$clinit$ra$$2232()
  modifies int$Random$index0;
 {
	 //  @line: 3
Block34:
	 //  @line: 3
	int$Random$index0 := 0;
	 return;
}


// procedure is generated by joogie.
function {:inline true} $shrref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $ushrreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $shrreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $divreal($param00 : realVar, $param11 : realVar) returns (__ret : realVar);



// procedure is generated by joogie.
function {:inline true} $orint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $reftorealarr($param00 : ref) returns (__ret : [int]realVar);



// procedure is generated by joogie.
function {:inline true} $cmpref(x : ref, y : ref) returns (__ret : int) {
if ($ltref((x), (y)) == 1) then 1 else if ($eqref((x), (y)) == 1) then 0 else -1
}


// procedure is generated by joogie.
function {:inline true} $realtoint($param00 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $geref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $orreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $eqint(x : int, y : int) returns (__ret : int) {
if (x == y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $ushrref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $modref($param00 : ref, $param11 : ref) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $eqintarray($param00 : [int]int, $param11 : [int]int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $negRef($param00 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $lereal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $nereal(x : realVar, y : realVar) returns (__ret : int) {
if (x != y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $instanceof($param00 : ref, $param11 : classConst) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $xorref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $orref($param00 : ref, $param11 : ref) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $intarrtoref($param00 : [int]int) returns (__ret : ref);



// procedure is generated by joogie.
function {:inline true} $subreal($param00 : realVar, $param11 : realVar) returns (__ret : realVar);



// procedure is generated by joogie.
function {:inline true} $shlreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $negInt(x : int) returns (__ret : int) {
if (x == 0) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $gereal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $eqref(x : ref, y : ref) returns (__ret : int) {
if (x == y) then 1 else 0
}


// procedure is generated by joogie.
function {:inline true} $cmpint(x : int, y : int) returns (__ret : int) {
if (x < y) then 1 else if (x == y) then 0 else -1
}


	 //  @line: 4
// <CyclicPair: void main(java.lang.String[])>
procedure void$CyclicPair$main$2229($param_0 : [int]ref)
  modifies $stringSize, java.lang.String$lp$$rp$$Random$args255, $HeapVar;
 {
var i08 : int;
var $r45 : ref;
var $r610 : ref;
var $r33 : ref;
var r14 : ref;
var $r711 : ref;
var r02 : [int]ref;
var $r59 : ref;
var r26 : ref;
Block17:
	r02 := $param_0;
	 //  @line: 5
	java.lang.String$lp$$rp$$Random$args255 := r02;
	 //  @line: 6
	$r33 := $newvariable((18));
	 assume ($neref(($newvariable((18))), ($null))==1);
	 assert ($neref(($r33), ($null))==1);
	 //  @line: 6
	 call void$CyclicPair$$la$init$ra$$2228(($r33));
	 //  @line: 6
	r14 := $r33;
	 //  @line: 7
	$r45 := $newvariable((19));
	 assume ($neref(($newvariable((19))), ($null))==1);
	 assert ($neref(($r45), ($null))==1);
	 //  @line: 7
	 call void$CyclicPair$$la$init$ra$$2228(($r45));
	 //  @line: 7
	r26 := $r45;
	 //  @line: 8
	 call i08 := int$Random$random$2231();
	 goto Block20;
	 //  @line: 9
Block20:
	 goto Block21, Block23;
	 //  @line: 9
Block21:
	 assume ($neint((i08), (0))==1);
	 goto Block22;
	 //  @line: 9
Block23:
	 //  @line: 9
	 assume ($negInt(($neint((i08), (0))))==1);
	 assert ($neref((r26), ($null))==1);
	 //  @line: 10
	$HeapVar[r26, CyclicPair$CyclicPair$next254] := r26;
	 goto Block24;
	 //  @line: 12
Block22:
	 assert ($neref((r14), ($null))==1);
	 //  @line: 12
	$HeapVar[r14, CyclicPair$CyclicPair$next254] := r14;
	 goto Block24;
	 //  @line: 15
Block24:
	 assert ($neref((r26), ($null))==1);
	 //  @line: 15
	$r59 := $HeapVar[r26, CyclicPair$CyclicPair$next254];
	 goto Block25;
	 //  @line: 15
Block25:
	 goto Block26, Block28;
	 //  @line: 15
Block26:
	 assume ($neref(($r59), (r26))==1);
	 goto Block27;
	 //  @line: 15
Block28:
	 //  @line: 15
	 assume ($negInt(($neref(($r59), (r26))))==1);
	 assert ($neref((r14), ($null))==1);
	 //  @line: 21
	$r610 := $HeapVar[r14, CyclicPair$CyclicPair$next254];
	 goto Block29;
	 //  @line: 21
Block27:
	 return;
	 //  @line: 21
Block29:
	 goto Block31, Block30;
	 //  @line: 21
Block31:
	 //  @line: 21
	 assume ($negInt(($neref(($r610), (r14))))==1);
	 assert ($neref((r14), ($null))==1);
	 //  @line: 16
	$HeapVar[r14, CyclicPair$CyclicPair$next254] := r26;
	 assert ($neref((r26), ($null))==1);
	 //  @line: 17
	$HeapVar[r26, CyclicPair$CyclicPair$next254] := r14;
	 assert ($neref((r26), ($null))==1);
	 //  @line: 18
	$r711 := $HeapVar[r26, CyclicPair$CyclicPair$next254];
	 assert ($neref((r14), ($null))==1);
	 //  @line: 18
	$HeapVar[r14, CyclicPair$CyclicPair$next254] := $r711;
	 assert ($neref((r26), ($null))==1);
	 //  @line: 19
	$HeapVar[r26, CyclicPair$CyclicPair$next254] := r26;
	 goto Block24;
	 //  @line: 21
Block30:
	 assume ($neref(($r610), (r14))==1);
	 goto Block27;
}


// procedure is generated by joogie.
function {:inline true} $andint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $andreal($param00 : realVar, $param11 : realVar) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $shlint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $xorint($param00 : int, $param11 : int) returns (__ret : int);



// procedure is generated by joogie.
function {:inline true} $subint(x : int, y : int) returns (__ret : int) {
(x - y)
}