### (0) Obligation:

JBC Problem based on JBC Program:
Manifest-Version: 1.0 Created-By: 1.6.0_16 (Sun Microsystems Inc.) Main-Class: Queen
`class Queen{    static int n;	    static int [] queen; // position (i,queen[i])    static int nbsol;    static void displayChessboard()    {	int i,j;	//System.out.println("");	for(i=0;i<n;i++) {	    for(j=0;j<n;j++) {		if (queen[i]!=j) {} //System.out.print("0");		else {} //System.out.print("1");	    }		    //System.out.println("");	}    }    static boolean wrongPos(int i1, int j1, int i2, int j2) {	return (i1==i2 || j1==j2 || i1-i2 == j1-j2 || i1-i2 == j2-j1);    }    // Place safely queen i at column j?    static boolean safeMove(int i, int j) {	boolean result=true;	for(int k=0;k<i;k++)	    result=result&&!wrongPos(i,j,k,queen[k]);	return result;	    }    static boolean search(int row)    {	boolean result=false;	 	if (row>=n) {	    displayChessboard();	    nbsol++; 	}	else {		    int j=0;	    while(!result && j<n) {		if (safeMove(row,j)) {		    queen[row]=j;		    result=search(row+1);		} 		// Backtracking here		j++; // explore all columns	    }		}	return result;	    }    public static void main(String [] args)    {	n = args.length;	queen = new int[n];	nbsol=0;	search(0);	//System.out.println("Total number of solutions:"+nbsol);    }}`

### (1) JBCToGraph (SOUND transformation)

Constructed TerminationGraph.

### (2) Obligation:

Termination Graph based on JBC Program:
Queen.main([Ljava/lang/String;)V: Graph of 60 nodes with 0 SCCs.

Queen.search(I)Z: Graph of 128 nodes with 1 SCC.

Queen.displayChessboard()V: Graph of 63 nodes with 1 SCC.

Queen.safeMove(II)Z: Graph of 74 nodes with 1 SCC.

Queen.wrongPos(IIII)Z: Graph of 38 nodes with 0 SCCs.

### (3) TerminationGraphToSCCProof (SOUND transformation)

Splitted TerminationGraph to 3 SCCss.

### (5) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Queen.safeMove(II)Z
SCC calls the following helper methods: Queen.wrongPos(IIII)Z
Performed SCC analyses: UsedFieldsAnalysis

### (6) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 39 rules for P and 40 rules for R.

P rules:
3326_0_safeMove_Load(EOS(STATIC_3326), i788, i789, i870, i871, i871) → 3332_0_safeMove_GE(EOS(STATIC_3332), i788, i789, i870, i871, i871, i788)
3332_0_safeMove_GE(EOS(STATIC_3332), i788, i789, i870, i871, i871, i788) → 3341_0_safeMove_GE(EOS(STATIC_3341), i788, i789, i870, i871, i871, i788)
3341_0_safeMove_GE(EOS(STATIC_3341), i788, i789, i870, i871, i871, i788) → 3349_0_safeMove_Load(EOS(STATIC_3349), i788, i789, i870, i871) | <(i871, i788)
3349_0_safeMove_Load(EOS(STATIC_3349), i788, i789, i870, i871) → 3357_0_safeMove_EQ(EOS(STATIC_3357), i788, i789, i871, i870)
3357_0_safeMove_EQ(EOS(STATIC_3357), i788, i789, i871, i885) → 3365_0_safeMove_EQ(EOS(STATIC_3365), i788, i789, i871, i885)
3357_0_safeMove_EQ(EOS(STATIC_3357), i788, i789, i871, matching1) → 3366_0_safeMove_EQ(EOS(STATIC_3366), i788, i789, i871, 0) | =(matching1, 0)
3365_0_safeMove_EQ(EOS(STATIC_3365), i788, i789, i871, i885) → 3373_0_safeMove_Load(EOS(STATIC_3373), i788, i789, i871) | >(i885, 0)
3382_0_safeMove_Load(EOS(STATIC_3382), i788, i789, i871, i788) → 3390_0_safeMove_Load(EOS(STATIC_3390), i788, i789, i871, i788, i789)
3390_0_safeMove_Load(EOS(STATIC_3390), i788, i789, i871, i788, i789) → 3396_0_safeMove_FieldAccess(EOS(STATIC_3396), i788, i789, i871, i788, i789, i871)
3396_0_safeMove_FieldAccess(EOS(STATIC_3396), i788, i789, i871, i788, i789, i871) → 3404_0_safeMove_Load(EOS(STATIC_3404), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)))
3404_0_safeMove_Load(EOS(STATIC_3404), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790))) → 3411_0_safeMove_ArrayAccess(EOS(STATIC_3411), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3411_0_safeMove_ArrayAccess(EOS(STATIC_3411), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3416_0_safeMove_ArrayAccess(EOS(STATIC_3416), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3416_0_safeMove_ArrayAccess(EOS(STATIC_3416), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3422_0_safeMove_InvokeMethod(EOS(STATIC_3422), i788, i789, i871, i788, i789, i871, i910) | <(i871, i790)
3422_0_safeMove_InvokeMethod(EOS(STATIC_3422), i788, i789, i871, i788, i789, i871, i910) → 3429_1_safeMove_InvokeMethod(3429_0_wrongPos_Load(EOS(STATIC_3429), i788, i789, i871, i910), i788, i789, i871, i788, i789, i871, i910)
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626), matching1), i1021, i1022, i1023, i1021, i1022, i1023, i1024) → 3645_0_wrongPos_Return(EOS(STATIC_3645), i1021, i1022, i1023, i1021, i1022, i1023, i1024, 0) | =(matching1, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634), matching1), i1046, i1047, i1048, i1046, i1047, i1048, i1049) → 3656_0_wrongPos_Return(EOS(STATIC_3656), i1046, i1047, i1048, i1046, i1047, i1048, i1049, 1) | =(matching1, 1)
3645_0_wrongPos_Return(EOS(STATIC_3645), i1021, i1022, i1023, i1021, i1022, i1023, i1024, matching1) → 3646_0_wrongPos_Return(EOS(STATIC_3646), i1021, i1022, i1023, i1021, i1022, i1023, i1024, 0) | =(matching1, 0)
3646_0_wrongPos_Return(EOS(STATIC_3646), i1028, i1029, i1033, i1028, i1029, i1033, i1034, i1032) → 3654_0_safeMove_NE(EOS(STATIC_3654), i1028, i1029, i1033, i1032)
3654_0_safeMove_NE(EOS(STATIC_3654), i1028, i1029, i1033, matching1) → 3660_0_safeMove_NE(EOS(STATIC_3660), i1028, i1029, i1033, 1) | =(matching1, 1)
3654_0_safeMove_NE(EOS(STATIC_3654), i1028, i1029, i1033, matching1) → 3661_0_safeMove_NE(EOS(STATIC_3661), i1028, i1029, i1033, 0) | =(matching1, 0)
3660_0_safeMove_NE(EOS(STATIC_3660), i1028, i1029, i1033, matching1) → 3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666), i1028, i1029, i1033) | &&(>(1, 0), =(matching1, 1))
3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666), i1028, i1029, i1033) → 3673_0_safeMove_Store(EOS(STATIC_3673), i1028, i1029, i1033, 0)
3673_0_safeMove_Store(EOS(STATIC_3673), i1028, i1029, i1033, matching1) → 3680_0_safeMove_Inc(EOS(STATIC_3680), i1028, i1029, 0, i1033) | =(matching1, 0)
3680_0_safeMove_Inc(EOS(STATIC_3680), i1028, i1029, matching1, i1033) → 3687_0_safeMove_JMP(EOS(STATIC_3687), i1028, i1029, 0, +(i1033, 1)) | &&(>=(i1033, 0), =(matching1, 0))
3687_0_safeMove_JMP(EOS(STATIC_3687), i1028, i1029, matching1, i1087) → 3701_0_safeMove_Load(EOS(STATIC_3701), i1028, i1029, 0, i1087) | =(matching1, 0)
3701_0_safeMove_Load(EOS(STATIC_3701), i1028, i1029, matching1, i1087) → 3320_0_safeMove_Load(EOS(STATIC_3320), i1028, i1029, 0, i1087) | =(matching1, 0)
3320_0_safeMove_Load(EOS(STATIC_3320), i788, i789, i870, i871) → 3326_0_safeMove_Load(EOS(STATIC_3326), i788, i789, i870, i871, i871)
3661_0_safeMove_NE(EOS(STATIC_3661), i1028, i1029, i1033, matching1) → 3668_0_safeMove_ConstantStackPush(EOS(STATIC_3668), i1028, i1029, i1033) | =(matching1, 0)
3668_0_safeMove_ConstantStackPush(EOS(STATIC_3668), i1028, i1029, i1033) → 3674_0_safeMove_JMP(EOS(STATIC_3674), i1028, i1029, i1033, 1)
3674_0_safeMove_JMP(EOS(STATIC_3674), i1028, i1029, i1033, matching1) → 3682_0_safeMove_Store(EOS(STATIC_3682), i1028, i1029, i1033, 1) | =(matching1, 1)
3682_0_safeMove_Store(EOS(STATIC_3682), i1028, i1029, i1033, matching1) → 3689_0_safeMove_Inc(EOS(STATIC_3689), i1028, i1029, 1, i1033) | =(matching1, 1)
3689_0_safeMove_Inc(EOS(STATIC_3689), i1028, i1029, matching1, i1033) → 3702_0_safeMove_JMP(EOS(STATIC_3702), i1028, i1029, 1, +(i1033, 1)) | &&(>=(i1033, 0), =(matching1, 1))
3702_0_safeMove_JMP(EOS(STATIC_3702), i1028, i1029, matching1, i1107) → 3707_0_safeMove_Load(EOS(STATIC_3707), i1028, i1029, 1, i1107) | =(matching1, 1)
3707_0_safeMove_Load(EOS(STATIC_3707), i1028, i1029, matching1, i1107) → 3320_0_safeMove_Load(EOS(STATIC_3320), i1028, i1029, 1, i1107) | =(matching1, 1)
3656_0_wrongPos_Return(EOS(STATIC_3656), i1046, i1047, i1048, i1046, i1047, i1048, i1049, matching1) → 3646_0_wrongPos_Return(EOS(STATIC_3646), i1046, i1047, i1048, i1046, i1047, i1048, i1049, 1) | =(matching1, 1)
3366_0_safeMove_EQ(EOS(STATIC_3366), i788, i789, i871, matching1) → 3374_0_safeMove_ConstantStackPush(EOS(STATIC_3374), i788, i789, i871) | =(matching1, 0)
3374_0_safeMove_ConstantStackPush(EOS(STATIC_3374), i788, i789, i871) → 3553_0_safeMove_ConstantStackPush(EOS(STATIC_3553), i788, i789, i871)
3553_0_safeMove_ConstantStackPush(EOS(STATIC_3553), i968, i969, i972) → 3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666), i968, i969, i972)
R rules:
3449_0_wrongPos_Load(EOS(STATIC_3449), i926, i927, i928, i929) → 3453_0_wrongPos_Load(EOS(STATIC_3453), i926, i927, i928, i929, i926)
3453_0_wrongPos_Load(EOS(STATIC_3453), i926, i927, i928, i929, i926) → 3459_0_wrongPos_EQ(EOS(STATIC_3459), i926, i927, i928, i929, i926, i928)
3459_0_wrongPos_EQ(EOS(STATIC_3459), i928, i927, i928, i929, i928, i928) → 3462_0_wrongPos_EQ(EOS(STATIC_3462), i928, i927, i928, i929, i928, i928)
3459_0_wrongPos_EQ(EOS(STATIC_3459), i926, i927, i928, i929, i926, i928) → 3463_0_wrongPos_EQ(EOS(STATIC_3463), i926, i927, i928, i929, i926, i928)
3462_0_wrongPos_EQ(EOS(STATIC_3462), i928, i927, i928, i929, i928, i928) → 3467_0_wrongPos_ConstantStackPush(EOS(STATIC_3467))
3463_0_wrongPos_EQ(EOS(STATIC_3463), i926, i927, i928, i929, i926, i928) → 3469_0_wrongPos_Load(EOS(STATIC_3469), i926, i927, i928, i929) | !(=(i926, i928))
3467_0_wrongPos_ConstantStackPush(EOS(STATIC_3467)) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564))
3469_0_wrongPos_Load(EOS(STATIC_3469), i926, i927, i928, i929) → 3475_0_wrongPos_Load(EOS(STATIC_3475), i926, i927, i928, i929, i927)
3475_0_wrongPos_Load(EOS(STATIC_3475), i926, i927, i928, i929, i927) → 3482_0_wrongPos_EQ(EOS(STATIC_3482), i926, i927, i928, i929, i927, i929)
3482_0_wrongPos_EQ(EOS(STATIC_3482), i926, i929, i928, i929, i929, i929) → 3488_0_wrongPos_EQ(EOS(STATIC_3488), i926, i929, i928, i929, i929, i929)
3482_0_wrongPos_EQ(EOS(STATIC_3482), i926, i927, i928, i929, i927, i929) → 3489_0_wrongPos_EQ(EOS(STATIC_3489), i926, i927, i928, i929, i927, i929)
3488_0_wrongPos_EQ(EOS(STATIC_3488), i926, i929, i928, i929, i929, i929) → 3498_0_wrongPos_ConstantStackPush(EOS(STATIC_3498))
3489_0_wrongPos_EQ(EOS(STATIC_3489), i926, i927, i928, i929, i927, i929) → 3499_0_wrongPos_Load(EOS(STATIC_3499), i926, i927, i928, i929) | !(=(i927, i929))
3498_0_wrongPos_ConstantStackPush(EOS(STATIC_3498)) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564))
3499_0_wrongPos_Load(EOS(STATIC_3499), i926, i927, i928, i929) → 3508_0_wrongPos_Load(EOS(STATIC_3508), i926, i927, i928, i929, i926)
3508_0_wrongPos_Load(EOS(STATIC_3508), i926, i927, i928, i929, i926) → 3513_0_wrongPos_IntArithmetic(EOS(STATIC_3513), i926, i927, i928, i929, i926, i928)
3513_0_wrongPos_IntArithmetic(EOS(STATIC_3513), i926, i927, i928, i929, i926, i928) → 3521_0_wrongPos_Load(EOS(STATIC_3521), i926, i927, i928, i929, -(i926, i928))
3521_0_wrongPos_Load(EOS(STATIC_3521), i926, i927, i928, i929, i959) → 3528_0_wrongPos_Load(EOS(STATIC_3528), i926, i927, i928, i929, i959, i927)
3528_0_wrongPos_Load(EOS(STATIC_3528), i926, i927, i928, i929, i959, i927) → 3538_0_wrongPos_IntArithmetic(EOS(STATIC_3538), i926, i927, i928, i929, i959, i927, i929)
3538_0_wrongPos_IntArithmetic(EOS(STATIC_3538), i926, i927, i928, i929, i959, i927, i929) → 3545_0_wrongPos_EQ(EOS(STATIC_3545), i926, i927, i928, i929, i959, -(i927, i929))
3545_0_wrongPos_EQ(EOS(STATIC_3545), i926, i927, i928, i929, i975, i975) → 3555_0_wrongPos_EQ(EOS(STATIC_3555), i926, i927, i928, i929, i975, i975)
3545_0_wrongPos_EQ(EOS(STATIC_3545), i926, i927, i928, i929, i959, i975) → 3556_0_wrongPos_EQ(EOS(STATIC_3556), i926, i927, i928, i929, i959, i975)
3555_0_wrongPos_EQ(EOS(STATIC_3555), i926, i927, i928, i929, i975, i975) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564))
3556_0_wrongPos_EQ(EOS(STATIC_3556), i926, i927, i928, i929, i959, i975) → 3565_0_wrongPos_Load(EOS(STATIC_3565), i926, i927, i928, i929) | !(=(i959, i975))
3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564)) → 3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622))
3577_0_wrongPos_Load(EOS(STATIC_3577), i927, i928, i929, i926) → 3583_0_wrongPos_IntArithmetic(EOS(STATIC_3583), i927, i929, i926, i928)
3583_0_wrongPos_IntArithmetic(EOS(STATIC_3583), i927, i929, i926, i928) → 3591_0_wrongPos_Load(EOS(STATIC_3591), i927, i929, -(i926, i928))
3597_0_wrongPos_Load(EOS(STATIC_3597), i927, i1002, i929) → 3603_0_wrongPos_IntArithmetic(EOS(STATIC_3603), i1002, i929, i927)
3603_0_wrongPos_IntArithmetic(EOS(STATIC_3603), i1002, i929, i927) → 3608_0_wrongPos_NE(EOS(STATIC_3608), i1002, -(i929, i927))
3608_0_wrongPos_NE(EOS(STATIC_3608), i1002, i1016) → 3614_0_wrongPos_NE(EOS(STATIC_3614), i1002, i1016)
3608_0_wrongPos_NE(EOS(STATIC_3608), i1016, i1016) → 3615_0_wrongPos_NE(EOS(STATIC_3615), i1016, i1016)
3614_0_wrongPos_NE(EOS(STATIC_3614), i1002, i1016) → 3620_0_wrongPos_ConstantStackPush(EOS(STATIC_3620)) | !(=(i1002, i1016))
3615_0_wrongPos_NE(EOS(STATIC_3615), i1016, i1016) → 3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622))
3620_0_wrongPos_ConstantStackPush(EOS(STATIC_3620)) → 3626_0_wrongPos_Return(EOS(STATIC_3626), 0)
3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622)) → 3627_0_wrongPos_JMP(EOS(STATIC_3627), 1)
3627_0_wrongPos_JMP(EOS(STATIC_3627), matching1) → 3634_0_wrongPos_Return(EOS(STATIC_3634), 1) | =(matching1, 1)

Combined rules. Obtained 6 conditional rules for P and 5 conditional rules for R.

P rules:
3326_0_safeMove_Load(EOS(STATIC_3326), x0, x1, x2, x3, x3) → 3429_1_safeMove_InvokeMethod(3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x1, x3, x4), x0, x1, x3, x0, x1, x3, x4) | &&(<(x3, x0), >(x2, 0))
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626), 0), x1, x2, x3, x1, x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654), x1, x2, x3, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634), 1), x1, x2, x3, x1, x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654), x1, x2, x3, 1)
3654_0_safeMove_NE(EOS(STATIC_3654), x0, x1, x2, 1) → 3326_0_safeMove_Load(EOS(STATIC_3326), x0, x1, 0, +(x2, 1), +(x2, 1)) | >(+(x2, 1), 0)
3654_0_safeMove_NE(EOS(STATIC_3654), x0, x1, x2, 0) → 3326_0_safeMove_Load(EOS(STATIC_3326), x0, x1, 1, +(x2, 1), +(x2, 1)) | >(+(x2, 1), 0)
3326_0_safeMove_Load(EOS(STATIC_3326), x0, x1, 0, x3, x3) → 3326_0_safeMove_Load(EOS(STATIC_3326), x0, x1, 0, +(x3, 1), +(x3, 1)) | &&(>(+(x3, 1), 0), <(x3, x0))
R rules:
3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x1, x2, x3) → 3626_0_wrongPos_Return(EOS(STATIC_3626), 0) | &&(&&(&&(!(=(x1, x3)), !(=(x0, x2))), !(=(-(x0, x2), -(x3, x1)))), !(=(-(x0, x2), -(x1, x3))))
3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x1, x0, x2) → 3634_0_wrongPos_Return(EOS(STATIC_3634), 1)
3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x1, x2, x1) → 3634_0_wrongPos_Return(EOS(STATIC_3634), 1) | !(=(x0, x2))
3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x0, x1, x1) → 3634_0_wrongPos_Return(EOS(STATIC_3634), 1) | !(=(x0, x1))
3429_0_wrongPos_Load(EOS(STATIC_3429), x0, x1, x1, x0) → 3634_0_wrongPos_Return(EOS(STATIC_3634), 1) | &&(&&(!(=(x1, x0)), !(=(x0, x1))), !(=(-(x0, x1), -(x1, x0))))

Filtered ground terms:

3326_0_safeMove_Load(x1, x2, x3, x4, x5, x6) → 3326_0_safeMove_Load(x2, x3, x4, x5, x6)
Cond_3326_0_safeMove_Load1(x1, x2, x3, x4, x5, x6, x7) → Cond_3326_0_safeMove_Load1(x1, x3, x4, x6, x7)
Cond_3654_0_safeMove_NE1(x1, x2, x3, x4, x5, x6) → Cond_3654_0_safeMove_NE1(x1, x3, x4, x5)
3654_0_safeMove_NE(x1, x2, x3, x4, x5) → 3654_0_safeMove_NE(x2, x3, x4, x5)
Cond_3654_0_safeMove_NE(x1, x2, x3, x4, x5, x6) → Cond_3654_0_safeMove_NE(x1, x3, x4, x5)
3634_0_wrongPos_Return(x1, x2) → 3634_0_wrongPos_Return
3626_0_wrongPos_Return(x1, x2) → 3626_0_wrongPos_Return
Cond_3326_0_safeMove_Load(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3326_0_safeMove_Load(x1, x3, x4, x5, x6, x7, x8)
Cond_3429_0_wrongPos_Load3(x1, x2, x3, x4, x5, x6) → Cond_3429_0_wrongPos_Load3(x1, x3, x4, x5, x6)
Cond_3429_0_wrongPos_Load2(x1, x2, x3, x4, x5, x6) → Cond_3429_0_wrongPos_Load2(x1, x3, x4, x5, x6)
Cond_3429_0_wrongPos_Load1(x1, x2, x3, x4, x5, x6) → Cond_3429_0_wrongPos_Load1(x1, x3, x4, x5, x6)
Cond_3429_0_wrongPos_Load(x1, x2, x3, x4, x5, x6) → Cond_3429_0_wrongPos_Load(x1, x3, x4, x5, x6)

Filtered duplicate args:

Cond_3326_0_safeMove_Load(x1, x2, x3, x4, x5, x6, x7) → Cond_3326_0_safeMove_Load(x1, x2, x3, x4, x6, x7)
3429_1_safeMove_InvokeMethod(x1, x2, x3, x4, x5, x6, x7, x8) → 3429_1_safeMove_InvokeMethod(x1, x5, x6, x7, x8)

Filtered unneeded arguments:

Cond_3326_0_safeMove_Load(x1, x2, x3, x4, x5, x6) → Cond_3326_0_safeMove_Load(x1, x2, x3, x5, x6)
3429_1_safeMove_InvokeMethod(x1, x2, x3, x4, x5) → 3429_1_safeMove_InvokeMethod(x1, x2, x3, x4)

Combined rules. Obtained 6 conditional rules for P and 5 conditional rules for R.

P rules:
3326_0_safeMove_Load(x0, x1, x2, x3) → 3429_1_safeMove_InvokeMethod(3429_0_wrongPos_Load(x0, x1, x3, x4), x0, x1, x3) | &&(<(x3, x0), >(x2, 0))
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_safeMove_NE(x1, x2, x3, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return, x1, x2, x3) → 3654_0_safeMove_NE(x1, x2, x3, 1)
3654_0_safeMove_NE(x0, x1, x2, 1) → 3326_0_safeMove_Load(x0, x1, 0, +(x2, 1)) | >(x2, -1)
3654_0_safeMove_NE(x0, x1, x2, 0) → 3326_0_safeMove_Load(x0, x1, 1, +(x2, 1)) | >(x2, -1)
3326_0_safeMove_Load(x0, x1, 0, x3) → 3326_0_safeMove_Load(x0, x1, 0, +(x3, 1)) | &&(>(x3, -1), <(x3, x0))
R rules:
3429_0_wrongPos_Load(x0, x1, x2, x3) → 3626_0_wrongPos_Return | &&(&&(&&(!(=(x1, x3)), !(=(x0, x2))), !(=(-(x0, x2), -(x3, x1)))), !(=(-(x0, x2), -(x1, x3))))
3429_0_wrongPos_Load(x0, x1, x0, x2) → 3634_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x2, x1) → 3634_0_wrongPos_Return | !(=(x0, x2))
3429_0_wrongPos_Load(x0, x0, x1, x1) → 3634_0_wrongPos_Return | !(=(x0, x1))
3429_0_wrongPos_Load(x0, x1, x1, x0) → 3634_0_wrongPos_Return | &&(&&(!(=(x1, x0)), !(=(x0, x1))), !(=(-(x0, x1), -(x1, x0))))

Finished conversion. Obtained 10 rules for P and 9 rules for R. System has predefined symbols.

P rules:
3326_0_SAFEMOVE_LOAD(x0, x1, x2, x3) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3, x0), >(x2, 0)), x0, x1, x2, x3, x4)
COND_3326_0_SAFEMOVE_LOAD(TRUE, x0, x1, x2, x3, x4) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0, x1, x3, x4), x0, x1, x3)
3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 0)
3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 1)
3654_0_SAFEMOVE_NE(x0, x1, x2, 1) → COND_3654_0_SAFEMOVE_NE(>(x2, -1), x0, x1, x2, 1)
COND_3654_0_SAFEMOVE_NE(TRUE, x0, x1, x2, 1) → 3326_0_SAFEMOVE_LOAD(x0, x1, 0, +(x2, 1))
3654_0_SAFEMOVE_NE(x0, x1, x2, 0) → COND_3654_0_SAFEMOVE_NE1(>(x2, -1), x0, x1, x2, 0)
COND_3654_0_SAFEMOVE_NE1(TRUE, x0, x1, x2, 0) → 3326_0_SAFEMOVE_LOAD(x0, x1, 1, +(x2, 1))
3326_0_SAFEMOVE_LOAD(x0, x1, 0, x3) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3, -1), <(x3, x0)), x0, x1, 0, x3)
R rules:
3429_0_wrongPos_Load(x0, x1, x2, x3) → Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x1, x3)), !(=(x0, x2))), !(=(-(x0, x2), -(x3, x1)))), !(=(-(x0, x2), -(x1, x3)))), x0, x1, x2, x3)
Cond_3429_0_wrongPos_Load(TRUE, x0, x1, x2, x3) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x0, x2) → 3626_0_wrongPos_Return
Cond_3429_0_wrongPos_Load1(TRUE, x0, x1, x2, x1) → 3626_0_wrongPos_Return
Cond_3429_0_wrongPos_Load1(TRUE, x0, x0, x1, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x1, x0) → Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x1, x0)), !(=(x0, x1))), !(=(-(x0, x1), -(x1, x0)))), x0, x1, x1, x0)
Cond_3429_0_wrongPos_Load3(TRUE, x0, x1, x1, x0) → 3626_0_wrongPos_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:

Boolean, Integer

The ITRS R consists of the following rules:
3429_0_wrongPos_Load(x0, x1, x2, x3) → Cond_3429_0_wrongPos_Load(!(x1 = x3) && !(x0 = x2) && !(x0 - x2 = x3 - x1) && !(x0 - x2 = x1 - x3), x0, x1, x2, x3)
Cond_3429_0_wrongPos_Load(TRUE, x0, x1, x2, x3) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x0, x2) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x2, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x2), x0, x1, x2, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x1, x2, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x0, x1, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x1), x0, x0, x1, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x0, x1, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x1, x0) → Cond_3429_0_wrongPos_Load3(!(x1 = x0) && !(x0 = x1) && !(x0 - x1 = x1 - x0), x0, x1, x1, x0)
Cond_3429_0_wrongPos_Load3(TRUE, x0, x1, x1, x0) → 3626_0_wrongPos_Return

The integer pair graph contains the following rules and edges:
(0): 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(x3[0] < x0[0] && x2[0] > 0, x0[0], x1[0], x2[0], x3[0], x4[0])
(1): COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])
(2): 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)
(3): 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)
(4): 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(x2[4] > -1, x0[4], x1[4], x2[4], 1)
(5): COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, x2[5] + 1)
(6): 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(x2[6] > -1, x0[6], x1[6], x2[6], 0)
(7): COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, x2[7] + 1)
(8): 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(x3[8] > -1 && x3[8] < x0[8], x0[8], x1[8], 0, x3[8])
(9): COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9]) → 3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, x3[9] + 1)

(0) -> (1), if (x3[0] < x0[0] && x2[0] > 0x0[0]* x0[1]x1[0]* x1[1]x2[0]* x2[1]x3[0]* x3[1]x4[0]* x4[1])

(1) -> (2), if (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]) →* 3626_0_wrongPos_Returnx0[1]* x1[2]x1[1]* x2[2]x3[1]* x3[2])

(1) -> (3), if (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]) →* 3626_0_wrongPos_Returnx0[1]* x1[3]x1[1]* x2[3]x3[1]* x3[3])

(2) -> (4), if (x1[2]* x0[4]x2[2]* x1[4]x3[2]* x2[4]0* 1)

(2) -> (6), if (x1[2]* x0[6]x2[2]* x1[6]x3[2]* x2[6])

(3) -> (4), if (x1[3]* x0[4]x2[3]* x1[4]x3[3]* x2[4])

(3) -> (6), if (x1[3]* x0[6]x2[3]* x1[6]x3[3]* x2[6]1* 0)

(4) -> (5), if (x2[4] > -1x0[4]* x0[5]x1[4]* x1[5]x2[4]* x2[5])

(5) -> (0), if (x0[5]* x0[0]x1[5]* x1[0]0* x2[0]x2[5] + 1* x3[0])

(5) -> (8), if (x0[5]* x0[8]x1[5]* x1[8]x2[5] + 1* x3[8])

(6) -> (7), if (x2[6] > -1x0[6]* x0[7]x1[6]* x1[7]x2[6]* x2[7])

(7) -> (0), if (x0[7]* x0[0]x1[7]* x1[0]1* x2[0]x2[7] + 1* x3[0])

(7) -> (8), if (x0[7]* x0[8]x1[7]* x1[8]1* 0x2[7] + 1* x3[8])

(8) -> (9), if (x3[8] > -1 && x3[8] < x0[8]x0[8]* x0[9]x1[8]* x1[9]x3[8]* x3[9])

(9) -> (0), if (x0[9]* x0[0]x1[9]* x1[0]0* x2[0]x3[9] + 1* x3[0])

(9) -> (8), if (x0[9]* x0[8]x1[9]* x1[8]x3[9] + 1* x3[8])

The set Q consists of the following terms:

### (8) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: false Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpDefaultShapeHeuristic@35ac2d6e 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 3326_0_SAFEMOVE_LOAD(x0, x1, x2, x3) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3, x0), >(x2, 0)), x0, x1, x2, x3, x4) the following chains were created:
• We consider the chain COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]), COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]) which results in the following constraint:

(1)    (x0[5]=x0[0]x1[5]=x1[0]0=x2[0]+(x2[5], 1)=x3[0]&&(<(x3[0], x0[0]), >(x2[0], 0))=TRUEx0[0]=x0[1]x1[0]=x1[1]x2[0]=x2[1]x3[0]=x3[1]x4[0]=x4[1]3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥))

We solved constraint (1) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD), (IDP_BOOLEAN).
• We consider the chain COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]), COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]) which results in the following constraint:

(2)    (x0[7]=x0[0]x1[7]=x1[0]1=x2[0]+(x2[7], 1)=x3[0]&&(<(x3[0], x0[0]), >(x2[0], 0))=TRUEx0[0]=x0[1]x1[0]=x1[1]x2[0]=x2[1]x3[0]=x3[1]x4[0]=x4[1]3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥))

We simplified constraint (2) using rules (III), (IV), (IDP_CONSTANT_FOLD), (DELETE_TRIVIAL_REDUCESTO), (IDP_BOOLEAN) which results in the following new constraint:

(3)    (<(+(x2[7], 1), x0[0])=TRUE3326_0_SAFEMOVE_LOAD(x0[0], x1[7], 1, +(x2[7], 1))≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[0], x1[7], 1, +(x2[7], 1))≥COND_3326_0_SAFEMOVE_LOAD(&&(<(+(x2[7], 1), x0[0]), >(1, 0)), x0[0], x1[7], 1, +(x2[7], 1), x4[0])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥))

We simplified constraint (3) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(4)    (x0[0] + [-2] + [-1]x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧[(-1)Bound*bni_72] + [(-1)bni_72]x2[7] + [bni_72]x0[0] ≥ 0∧[(-1)bso_73] ≥ 0)

We simplified constraint (4) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(5)    (x0[0] + [-2] + [-1]x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧[(-1)Bound*bni_72] + [(-1)bni_72]x2[7] + [bni_72]x0[0] ≥ 0∧[(-1)bso_73] ≥ 0)

We simplified constraint (5) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(6)    (x0[0] + [-2] + [-1]x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧[(-1)Bound*bni_72] + [(-1)bni_72]x2[7] + [bni_72]x0[0] ≥ 0∧[(-1)bso_73] ≥ 0)

We simplified constraint (6) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(7)    (x0[0] + [-2] + [-1]x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72] + [(-1)bni_72]x2[7] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)

We simplified constraint (7) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(8)    (x0[0] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72 + (2)bni_72] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)

We simplified constraint (8) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

(9)    (x0[0] ≥ 0∧x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72 + (2)bni_72] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)

(10)    (x0[0] ≥ 0∧x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72 + (2)bni_72] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)

• We consider the chain COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9]) → 3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]), COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]) which results in the following constraint:

(11)    (x0[9]=x0[0]x1[9]=x1[0]0=x2[0]+(x3[9], 1)=x3[0]&&(<(x3[0], x0[0]), >(x2[0], 0))=TRUEx0[0]=x0[1]x1[0]=x1[1]x2[0]=x2[1]x3[0]=x3[1]x4[0]=x4[1]3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0])≥COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥))

We solved constraint (11) using rules (I), (II), (III), (IV), (IDP_CONSTANT_FOLD), (IDP_BOOLEAN).

For Pair COND_3326_0_SAFEMOVE_LOAD(TRUE, x0, x1, x2, x3, x4) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0, x1, x3, x4), x0, x1, x3) the following chains were created:
• We consider the chain 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]), COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0) which results in the following constraint:

(12)    (&&(<(x3[0], x0[0]), >(x2[0], 0))=TRUEx0[0]=x0[1]x1[0]=x1[1]x2[0]=x2[1]x3[0]=x3[1]x4[0]=x4[1]3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[2]x1[1]=x2[2]x3[1]=x3[2]COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1])≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (12) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:

(13)    (3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1])=3626_0_wrongPos_Return<(x3[0], x0[0])=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x0[0], x1[1], x2[0], x3[0], x4[1])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[0], x1[1], x2[0], x3[0], x4[1])≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1]), x0[0], x1[1], x3[0])∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (13) using rule (V) (with possible (I) afterwards) using induction on 3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1])=3626_0_wrongPos_Return which results in the following new constraints:

(14)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x2, x0)), !(=(x3, x1))), !(=(-(x3, x1), -(x0, x2)))), !(=(-(x3, x1), -(x2, x0)))), x3, x2, x1, x0)=3626_0_wrongPos_Return<(x1, x3)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x3, x2, x2[0], x1, x0)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x3, x2, x2[0], x1, x0)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x3, x2, x1, x0), x3, x2, x1)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(15)    (3626_0_wrongPos_Return=3626_0_wrongPos_Return<(x5, x5)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x5, x6, x2[0], x5, x4)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x5, x6, x2[0], x5, x4)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x5, x6, x5, x4), x5, x6, x5)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(16)    (Cond_3429_0_wrongPos_Load1(!(=(x9, x8)), x9, x7, x8, x7)=3626_0_wrongPos_Return<(x8, x9)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x9, x7, x2[0], x8, x7)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x9, x7, x2[0], x8, x7)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x9, x7, x8, x7), x9, x7, x8)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(17)    (Cond_3429_0_wrongPos_Load1(!(=(x11, x10)), x11, x11, x10, x10)=3626_0_wrongPos_Return<(x10, x11)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x11, x11, x2[0], x10, x10)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x11, x11, x2[0], x10, x10)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x11, x11, x10, x10), x11, x11, x10)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(18)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x13, x12)), !(=(x12, x13))), !(=(-(x12, x13), -(x13, x12)))), x12, x13, x13, x12)=3626_0_wrongPos_Return<(x13, x12)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x12, x13, x2[0], x13, x12)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x12, x13, x2[0], x13, x12)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x12, x13, x13, x12), x12, x13, x13)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (14) using rules (III), (VII) which results in the following new constraint:

(19)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x2, x0)), !(=(x3, x1))), !(=(-(x3, x1), -(x0, x2)))), !(=(-(x3, x1), -(x2, x0)))), x3, x2, x1, x0)=3626_0_wrongPos_Return<(x1, x3)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x3, x2, x2[0], x1, x0)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x3, x2, x2[0], x1, x0)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x3, x2, x1, x0), x3, x2, x1)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (15) using rules (I), (II) which results in the following new constraint:

(20)    (<(x5, x5)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x5, x6, x2[0], x5, x4)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x5, x6, x2[0], x5, x4)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x5, x6, x5, x4), x5, x6, x5)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (16) using rules (III), (VII) which results in the following new constraint:

(21)    (Cond_3429_0_wrongPos_Load1(!(=(x9, x8)), x9, x16, x8, x16)=3626_0_wrongPos_Return<(x8, x9)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x9, x16, x2[0], x8, x16)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x9, x16, x2[0], x8, x16)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x9, x16, x8, x16), x9, x16, x8)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (17) using rules (III), (VII) which results in the following new constraint:

(22)    (Cond_3429_0_wrongPos_Load1(!(=(x18, x19)), x18, x18, x19, x19)=3626_0_wrongPos_Return<(x19, x18)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x18, x18, x2[0], x19, x19)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x18, x18, x2[0], x19, x19)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x18, x18, x19, x19), x18, x18, x19)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (18) using rules (III), (VII) which results in the following new constraint:

(23)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x21, x22)), !(=(x22, x21))), !(=(-(x22, x21), -(x21, x22)))), x22, x21, x21, x22)=3626_0_wrongPos_Return<(x21, x22)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x22, x21, x2[0], x21, x22)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x22, x21, x2[0], x21, x22)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x22, x21, x21, x22), x22, x21, x21)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(24)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (19) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(25)    (x3 + [-1] + [-1]x1 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x1 + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (21) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(26)    (x9 + [-1] + [-1]x8 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x8 + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(27)    (x18 + [-1] + [-1]x19 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x19 + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(28)    (x22 + [-1] + [-1]x21 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x22 + [(-1)bni_74]x21 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(29)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(30)    (x3 + [-1] + [-1]x1 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x1 + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (26) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(31)    (x9 + [-1] + [-1]x8 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x8 + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(32)    (x18 + [-1] + [-1]x19 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x19 + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(33)    (x22 + [-1] + [-1]x21 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x22 + [(-1)bni_74]x21 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(34)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(35)    (x3 + [-1] + [-1]x1 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x1 + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(36)    (x9 + [-1] + [-1]x8 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x8 + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (32) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(37)    (x18 + [-1] + [-1]x19 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x19 + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (33) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(38)    (x22 + [-1] + [-1]x21 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x22 + [(-1)bni_74]x21 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(39)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(40)    (x3 + [-1] + [-1]x1 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74] + [(-1)bni_74]x1 + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(41)    (x9 + [-1] + [-1]x8 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74] + [(-1)bni_74]x8 + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(42)    (x18 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (38) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(43)    (x22 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We solved constraint (39) using rule (IDP_SMT_SPLIT).We simplified constraint (40) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(44)    (x3 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (44) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(45)    (x3 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (45) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

(46)    (x3 ≥ 0∧x2[0] ≥ 0∧x1 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(47)    (x3 ≥ 0∧x2[0] ≥ 0∧x1 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(48)    (x9 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(49)    (x9 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(50)    (x9 ≥ 0∧x2[0] ≥ 0∧x8 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(51)    (x9 ≥ 0∧x2[0] ≥ 0∧x8 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(52)    (x18 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(53)    (x18 ≥ 0∧x2[0] ≥ 0∧x19 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(54)    (x18 ≥ 0∧x2[0] ≥ 0∧x19 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(55)    (x22 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(56)    (x22 ≥ 0∧x2[0] ≥ 0∧x21 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(57)    (x22 ≥ 0∧x2[0] ≥ 0∧x21 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

• We consider the chain 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]), COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1) which results in the following constraint:

(58)    (&&(<(x3[0], x0[0]), >(x2[0], 0))=TRUEx0[0]=x0[1]x1[0]=x1[1]x2[0]=x2[1]x3[0]=x3[1]x4[0]=x4[1]3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[3]x1[1]=x2[3]x3[1]=x3[3]COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1])≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (58) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:

(59)    (3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1])=3626_0_wrongPos_Return<(x3[0], x0[0])=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x0[0], x1[1], x2[0], x3[0], x4[1])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[0], x1[1], x2[0], x3[0], x4[1])≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1]), x0[0], x1[1], x3[0])∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (59) using rule (V) (with possible (I) afterwards) using induction on 3429_0_wrongPos_Load(x0[0], x1[1], x3[0], x4[1])=3626_0_wrongPos_Return which results in the following new constraints:

(60)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x25, x23)), !(=(x26, x24))), !(=(-(x26, x24), -(x23, x25)))), !(=(-(x26, x24), -(x25, x23)))), x26, x25, x24, x23)=3626_0_wrongPos_Return<(x24, x26)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x26, x25, x2[0], x24, x23)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x26, x25, x2[0], x24, x23)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x26, x25, x24, x23), x26, x25, x24)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(61)    (3626_0_wrongPos_Return=3626_0_wrongPos_Return<(x28, x28)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x28, x29, x2[0], x28, x27)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x28, x29, x2[0], x28, x27)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x28, x29, x28, x27), x28, x29, x28)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(62)    (Cond_3429_0_wrongPos_Load1(!(=(x32, x31)), x32, x30, x31, x30)=3626_0_wrongPos_Return<(x31, x32)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x32, x30, x2[0], x31, x30)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x32, x30, x2[0], x31, x30)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x32, x30, x31, x30), x32, x30, x31)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(63)    (Cond_3429_0_wrongPos_Load1(!(=(x34, x33)), x34, x34, x33, x33)=3626_0_wrongPos_Return<(x33, x34)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x34, x34, x2[0], x33, x33)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x34, x34, x2[0], x33, x33)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x34, x34, x33, x33), x34, x34, x33)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

(64)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x36, x35)), !(=(x35, x36))), !(=(-(x35, x36), -(x36, x35)))), x35, x36, x36, x35)=3626_0_wrongPos_Return<(x36, x35)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x35, x36, x2[0], x36, x35)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x35, x36, x2[0], x36, x35)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x35, x36, x36, x35), x35, x36, x36)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (60) using rules (III), (VII) which results in the following new constraint:

(65)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x25, x23)), !(=(x26, x24))), !(=(-(x26, x24), -(x23, x25)))), !(=(-(x26, x24), -(x25, x23)))), x26, x25, x24, x23)=3626_0_wrongPos_Return<(x24, x26)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x26, x25, x2[0], x24, x23)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x26, x25, x2[0], x24, x23)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x26, x25, x24, x23), x26, x25, x24)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (61) using rules (I), (II) which results in the following new constraint:

(66)    (<(x28, x28)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x28, x29, x2[0], x28, x27)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x28, x29, x2[0], x28, x27)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x28, x29, x28, x27), x28, x29, x28)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (62) using rules (III), (VII) which results in the following new constraint:

(67)    (Cond_3429_0_wrongPos_Load1(!(=(x32, x31)), x32, x39, x31, x39)=3626_0_wrongPos_Return<(x31, x32)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x32, x39, x2[0], x31, x39)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x32, x39, x2[0], x31, x39)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x32, x39, x31, x39), x32, x39, x31)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

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

(68)    (Cond_3429_0_wrongPos_Load1(!(=(x41, x42)), x41, x41, x42, x42)=3626_0_wrongPos_Return<(x42, x41)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x41, x41, x2[0], x42, x42)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x41, x41, x2[0], x42, x42)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x41, x41, x42, x42), x41, x41, x42)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

We simplified constraint (64) using rules (III), (VII) which results in the following new constraint:

(69)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x44, x45)), !(=(x45, x44))), !(=(-(x45, x44), -(x44, x45)))), x45, x44, x44, x45)=3626_0_wrongPos_Return<(x44, x45)=TRUE>(x2[0], 0)=TRUECOND_3326_0_SAFEMOVE_LOAD(TRUE, x45, x44, x2[0], x44, x45)≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD(TRUE, x45, x44, x2[0], x44, x45)≥3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x45, x44, x44, x45), x45, x44, x44)∧(UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥))

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

(70)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(71)    (x26 + [-1] + [-1]x24 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x24 + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(72)    (x32 + [-1] + [-1]x31 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x31 + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (68) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(73)    (x41 + [-1] + [-1]x42 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x42 + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (69) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(74)    (x45 + [-1] + [-1]x44 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x45 + [(-1)bni_74]x44 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (70) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(75)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (71) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(76)    (x26 + [-1] + [-1]x24 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x24 + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (72) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(77)    (x32 + [-1] + [-1]x31 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x31 + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (73) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(78)    (x41 + [-1] + [-1]x42 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x42 + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (74) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(79)    (x45 + [-1] + [-1]x44 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x45 + [(-1)bni_74]x44 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (75) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(80)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (76) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(81)    (x26 + [-1] + [-1]x24 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x24 + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (77) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(82)    (x32 + [-1] + [-1]x31 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x31 + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (78) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(83)    (x41 + [-1] + [-1]x42 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [(-1)bni_74]x42 + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (79) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(84)    (x45 + [-1] + [-1]x44 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74] + [bni_74]x45 + [(-1)bni_74]x44 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (80) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(85)    ([-1] ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧0 = 0∧[(-1)Bound*bni_74] + [bni_74]x2[0] ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (81) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(86)    (x26 + [-1] + [-1]x24 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74] + [(-1)bni_74]x24 + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(87)    (x32 + [-1] + [-1]x31 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74] + [(-1)bni_74]x31 + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(88)    (x41 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(89)    (x45 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[(-1)bso_75] + x2[0] ≥ 0)

We solved constraint (85) using rule (IDP_SMT_SPLIT).We simplified constraint (86) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(90)    (x26 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(91)    (x26 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(92)    (x26 ≥ 0∧x2[0] ≥ 0∧x24 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(93)    (x26 ≥ 0∧x2[0] ≥ 0∧x24 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (87) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(94)    (x32 ≥ 0∧x2[0] + [-1] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[(-1)bso_75] + x2[0] ≥ 0)

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

(95)    (x32 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(96)    (x32 ≥ 0∧x2[0] ≥ 0∧x31 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(97)    (x32 ≥ 0∧x2[0] ≥ 0∧x31 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(98)    (x41 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

We simplified constraint (98) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

(99)    (x41 ≥ 0∧x2[0] ≥ 0∧x42 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(100)    (x41 ≥ 0∧x2[0] ≥ 0∧x42 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(101)    (x45 ≥ 0∧x2[0] ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

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

(102)    (x45 ≥ 0∧x2[0] ≥ 0∧x44 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

(103)    (x45 ≥ 0∧x2[0] ≥ 0∧x44 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

For Pair 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 0) the following chains were created:
• We consider the chain COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0), 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1) which results in the following constraint:

(104)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[2]x1[1]=x2[2]x3[1]=x3[2]x1[2]=x0[4]x2[2]=x1[4]x3[2]=x2[4]0=13429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2])≥3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We solved constraint (104) using rules (I), (II).
• We consider the chain COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0), 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0) which results in the following constraint:

(105)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[2]x1[1]=x2[2]x3[1]=x3[2]x1[2]=x0[6]x2[2]=x1[6]x3[2]=x2[6]3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2])≥3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

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

(106)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x0[1], x1[1], x3[1])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x0[1], x1[1], x3[1])≥3654_0_SAFEMOVE_NE(x0[1], x1[1], x3[1], 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We simplified constraint (106) using rule (V) (with possible (I) afterwards) using induction on 3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Return which results in the following new constraints:

(107)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x48, x46)), !(=(x49, x47))), !(=(-(x49, x47), -(x46, x48)))), !(=(-(x49, x47), -(x48, x46)))), x49, x48, x47, x46)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x49, x48, x47)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x49, x48, x47)≥3654_0_SAFEMOVE_NE(x49, x48, x47, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

(108)    (3626_0_wrongPos_Return=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x51, x52, x51)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x51, x52, x51)≥3654_0_SAFEMOVE_NE(x51, x52, x51, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

(109)    (Cond_3429_0_wrongPos_Load1(!(=(x55, x54)), x55, x53, x54, x53)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x55, x53, x54)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x55, x53, x54)≥3654_0_SAFEMOVE_NE(x55, x53, x54, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

(110)    (Cond_3429_0_wrongPos_Load1(!(=(x57, x56)), x57, x57, x56, x56)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x57, x57, x56)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x57, x57, x56)≥3654_0_SAFEMOVE_NE(x57, x57, x56, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

(111)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x59, x58)), !(=(x58, x59))), !(=(-(x58, x59), -(x59, x58)))), x58, x59, x59, x58)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x58, x59, x59)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x58, x59, x59)≥3654_0_SAFEMOVE_NE(x58, x59, x59, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We simplified constraint (107) using rules (III), (VII) which results in the following new constraint:

(112)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x48, x46)), !(=(x49, x47))), !(=(-(x49, x47), -(x46, x48)))), !(=(-(x49, x47), -(x48, x46)))), x49, x48, x47, x46)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x49, x48, x47)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x49, x48, x47)≥3654_0_SAFEMOVE_NE(x49, x48, x47, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We simplified constraint (108) using rules (I), (II) which results in the following new constraint:

(113)    (3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x51, x52, x51)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x51, x52, x51)≥3654_0_SAFEMOVE_NE(x51, x52, x51, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We simplified constraint (109) using rules (III), (VII) which results in the following new constraint:

(114)    (Cond_3429_0_wrongPos_Load1(!(=(x55, x54)), x55, x62, x54, x62)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x55, x62, x54)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x55, x62, x54)≥3654_0_SAFEMOVE_NE(x55, x62, x54, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

We simplified constraint (110) using rules (III), (VII) which results in the following new constraint:

(115)    (Cond_3429_0_wrongPos_Load1(!(=(x64, x65)), x64, x64, x65, x65)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x64, x64, x65)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x64, x64, x65)≥3654_0_SAFEMOVE_NE(x64, x64, x65, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

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

(116)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x67, x68)), !(=(x68, x67))), !(=(-(x68, x67), -(x67, x68)))), x68, x67, x67, x68)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x68, x67, x67)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x68, x67, x67)≥3654_0_SAFEMOVE_NE(x68, x67, x67, 0)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥))

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

(117)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧[bni_76] = 0∧[(-1)bso_77] ≥ 0)

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

(118)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(119)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(120)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (116) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(121)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (117) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(122)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧[bni_76] = 0∧[(-1)bso_77] ≥ 0)

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

(123)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(124)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(125)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(126)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (122) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(127)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧[bni_76] = 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (123) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(128)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(129)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(130)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(131)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 ≥ 0∧[(-1)bso_77] ≥ 0)

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

(132)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧[bni_76] = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (128) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(133)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (129) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(134)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (130) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(135)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

We simplified constraint (131) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(136)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

For Pair 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 1) the following chains were created:
• We consider the chain COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1), 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1) which results in the following constraint:

(137)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[3]x1[1]=x2[3]x3[1]=x3[3]x1[3]=x0[4]x2[3]=x1[4]x3[3]=x2[4]3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3])≥3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (137) using rules (III), (IV) which results in the following new constraint:

(138)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x0[1], x1[1], x3[1])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x0[1], x1[1], x3[1])≥3654_0_SAFEMOVE_NE(x0[1], x1[1], x3[1], 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (138) using rule (V) (with possible (I) afterwards) using induction on 3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Return which results in the following new constraints:

(139)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x71, x69)), !(=(x72, x70))), !(=(-(x72, x70), -(x69, x71)))), !(=(-(x72, x70), -(x71, x69)))), x72, x71, x70, x69)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x72, x71, x70)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x72, x71, x70)≥3654_0_SAFEMOVE_NE(x72, x71, x70, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

(140)    (3626_0_wrongPos_Return=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x74, x75, x74)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x74, x75, x74)≥3654_0_SAFEMOVE_NE(x74, x75, x74, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

(141)    (Cond_3429_0_wrongPos_Load1(!(=(x78, x77)), x78, x76, x77, x76)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x78, x76, x77)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x78, x76, x77)≥3654_0_SAFEMOVE_NE(x78, x76, x77, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

(142)    (Cond_3429_0_wrongPos_Load1(!(=(x80, x79)), x80, x80, x79, x79)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x80, x80, x79)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x80, x80, x79)≥3654_0_SAFEMOVE_NE(x80, x80, x79, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

(143)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x82, x81)), !(=(x81, x82))), !(=(-(x81, x82), -(x82, x81)))), x81, x82, x82, x81)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x81, x82, x82)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x81, x82, x82)≥3654_0_SAFEMOVE_NE(x81, x82, x82, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (139) using rules (III), (VII) which results in the following new constraint:

(144)    (Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x71, x69)), !(=(x72, x70))), !(=(-(x72, x70), -(x69, x71)))), !(=(-(x72, x70), -(x71, x69)))), x72, x71, x70, x69)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x72, x71, x70)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x72, x71, x70)≥3654_0_SAFEMOVE_NE(x72, x71, x70, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (140) using rules (I), (II) which results in the following new constraint:

(145)    (3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x74, x75, x74)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x74, x75, x74)≥3654_0_SAFEMOVE_NE(x74, x75, x74, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (141) using rules (III), (VII) which results in the following new constraint:

(146)    (Cond_3429_0_wrongPos_Load1(!(=(x78, x77)), x78, x85, x77, x85)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x78, x85, x77)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x78, x85, x77)≥3654_0_SAFEMOVE_NE(x78, x85, x77, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (142) using rules (III), (VII) which results in the following new constraint:

(147)    (Cond_3429_0_wrongPos_Load1(!(=(x87, x88)), x87, x87, x88, x88)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x87, x87, x88)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x87, x87, x88)≥3654_0_SAFEMOVE_NE(x87, x87, x88, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (143) using rules (III), (VII) which results in the following new constraint:

(148)    (Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x90, x91)), !(=(x91, x90))), !(=(-(x91, x90), -(x90, x91)))), x91, x90, x90, x91)=3626_0_wrongPos_Return3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x91, x90, x90)≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x91, x90, x90)≥3654_0_SAFEMOVE_NE(x91, x90, x90, 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We simplified constraint (145) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(149)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧[bni_78] = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (144) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(150)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (146) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(151)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (147) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(152)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (148) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(153)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (149) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(154)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧[bni_78] = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (150) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(155)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (151) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(156)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (152) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(157)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (153) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(158)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (154) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(159)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧[bni_78] = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (155) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(160)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (156) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(161)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (157) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(162)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (158) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(163)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 ≥ 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (159) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(164)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧[bni_78] = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (160) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(165)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (161) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(166)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (162) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(167)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

We simplified constraint (163) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(168)    ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

• We consider the chain COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1]), 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1), 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0) which results in the following constraint:

(169)    (3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1])=3626_0_wrongPos_Returnx0[1]=x1[3]x1[1]=x2[3]x3[1]=x3[3]x1[3]=x0[6]x2[3]=x1[6]x3[3]=x2[6]1=03429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3])≥NonInfC∧3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3])≥3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)∧(UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥))

We solved constraint (169) using rules (I), (II).

For Pair 3654_0_SAFEMOVE_NE(x0, x1, x2, 1) → COND_3654_0_SAFEMOVE_NE(>(x2, -1), x0, x1, x2, 1) the following chains were created:
• We consider the chain 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1), COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1)) which results in the following constraint:

(170)    (>(x2[4], -1)=TRUEx0[4]=x0[5]x1[4]=x1[5]x2[4]=x2[5]3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1)≥NonInfC∧3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1)≥COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)∧(UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥))

We simplified constraint (170) using rule (IV) which results in the following new constraint:

(171)    (>(x2[4], -1)=TRUE3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1)≥NonInfC∧3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1)≥COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)∧(UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥))

We simplified constraint (171) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(172)    (x2[4] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥)∧[(-1)bni_80 + (-1)Bound*bni_80] + [(-1)bni_80]x2[4] + [bni_80]x0[4] ≥ 0∧[1 + (-1)bso_81] ≥ 0)

We simplified constraint (172) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(173)    (x2[4] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥)∧[(-1)bni_80 + (-1)Bound*bni_80] + [(-1)bni_80]x2[4] + [bni_80]x0[4] ≥ 0∧[1 + (-1)bso_81] ≥ 0)

We simplified constraint (173) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(174)    (x2[4] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥)∧[(-1)bni_80 + (-1)Bound*bni_80] + [(-1)bni_80]x2[4] + [bni_80]x0[4] ≥ 0∧[1 + (-1)bso_81] ≥ 0)

We simplified constraint (174) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(175)    (x2[4] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥)∧0 = 0∧[bni_80] = 0∧[(-1)bni_80 + (-1)Bound*bni_80] + [(-1)bni_80]x2[4] ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_81] ≥ 0)

For Pair COND_3654_0_SAFEMOVE_NE(TRUE, x0, x1, x2, 1) → 3326_0_SAFEMOVE_LOAD(x0, x1, 0, +(x2, 1)) the following chains were created:
• We consider the chain 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1), COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]) which results in the following constraint:

(176)    (>(x2[4], -1)=TRUEx0[4]=x0[5]x1[4]=x1[5]x2[4]=x2[5]x0[5]=x0[0]x1[5]=x1[0]0=x2[0]+(x2[5], 1)=x3[0]COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1)≥NonInfC∧COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1)≥3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥))

We simplified constraint (176) using rules (III), (IV) which results in the following new constraint:

(177)    (>(x2[4], -1)=TRUECOND_3654_0_SAFEMOVE_NE(TRUE, x0[4], x1[4], x2[4], 1)≥NonInfC∧COND_3654_0_SAFEMOVE_NE(TRUE, x0[4], x1[4], x2[4], 1)≥3326_0_SAFEMOVE_LOAD(x0[4], x1[4], 0, +(x2[4], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥))

We simplified constraint (177) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(178)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (178) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(179)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (179) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(180)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (180) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(181)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧0 = 0∧[bni_82] = 0∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_83] ≥ 0)

• We consider the chain 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1), COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1)), 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]) which results in the following constraint:

(182)    (>(x2[4], -1)=TRUEx0[4]=x0[5]x1[4]=x1[5]x2[4]=x2[5]x0[5]=x0[8]x1[5]=x1[8]+(x2[5], 1)=x3[8]COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1)≥NonInfC∧COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1)≥3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥))

We simplified constraint (182) using rules (III), (IV) which results in the following new constraint:

(183)    (>(x2[4], -1)=TRUECOND_3654_0_SAFEMOVE_NE(TRUE, x0[4], x1[4], x2[4], 1)≥NonInfC∧COND_3654_0_SAFEMOVE_NE(TRUE, x0[4], x1[4], x2[4], 1)≥3326_0_SAFEMOVE_LOAD(x0[4], x1[4], 0, +(x2[4], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥))

We simplified constraint (183) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(184)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (184) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(185)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (185) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(186)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] + [bni_82]x0[4] ≥ 0∧[(-1)bso_83] ≥ 0)

We simplified constraint (186) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(187)    (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧0 = 0∧[bni_82] = 0∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_83] ≥ 0)

For Pair 3654_0_SAFEMOVE_NE(x0, x1, x2, 0) → COND_3654_0_SAFEMOVE_NE1(>(x2, -1), x0, x1, x2, 0) the following chains were created:
• We consider the chain 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0), COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1)) which results in the following constraint:

(188)    (>(x2[6], -1)=TRUEx0[6]=x0[7]x1[6]=x1[7]x2[6]=x2[7]3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0)≥NonInfC∧3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0)≥COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)∧(UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥))

We simplified constraint (188) using rule (IV) which results in the following new constraint:

(189)    (>(x2[6], -1)=TRUE3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0)≥NonInfC∧3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0)≥COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)∧(UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥))

We simplified constraint (189) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(190)    (x2[6] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥)∧[(-1)Bound*bni_84] + [(-1)bni_84]x2[6] + [bni_84]x0[6] ≥ 0∧[(-1)bso_85] ≥ 0)

We simplified constraint (190) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(191)    (x2[6] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥)∧[(-1)Bound*bni_84] + [(-1)bni_84]x2[6] + [bni_84]x0[6] ≥ 0∧[(-1)bso_85] ≥ 0)

We simplified constraint (191) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(192)    (x2[6] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥)∧[(-1)Bound*bni_84] + [(-1)bni_84]x2[6] + [bni_84]x0[6] ≥ 0∧[(-1)bso_85] ≥ 0)

We simplified constraint (192) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(193)    (x2[6] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥)∧0 = 0∧[bni_84] = 0∧[(-1)Bound*bni_84] + [(-1)bni_84]x2[6] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_85] ≥ 0)

For Pair COND_3654_0_SAFEMOVE_NE1(TRUE, x0, x1, x2, 0) → 3326_0_SAFEMOVE_LOAD(x0, x1, 1, +(x2, 1)) the following chains were created:
• We consider the chain 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0), COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]) which results in the following constraint:

(194)    (>(x2[6], -1)=TRUEx0[6]=x0[7]x1[6]=x1[7]x2[6]=x2[7]x0[7]=x0[0]x1[7]=x1[0]1=x2[0]+(x2[7], 1)=x3[0]COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0)≥NonInfC∧COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0)≥3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥))

We simplified constraint (194) using rules (III), (IV) which results in the following new constraint:

(195)    (>(x2[6], -1)=TRUECOND_3654_0_SAFEMOVE_NE1(TRUE, x0[6], x1[6], x2[6], 0)≥NonInfC∧COND_3654_0_SAFEMOVE_NE1(TRUE, x0[6], x1[6], x2[6], 0)≥3326_0_SAFEMOVE_LOAD(x0[6], x1[6], 1, +(x2[6], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥))

We simplified constraint (195) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(196)    (x2[6] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥)∧[(-1)Bound*bni_86] + [(-1)bni_86]x2[6] + [bni_86]x0[6] ≥ 0∧[(-1)bso_87] ≥ 0)

We simplified constraint (196) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(197)    (x2[6] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥)∧[(-1)Bound*bni_86] + [(-1)bni_86]x2[6] + [bni_86]x0[6] ≥ 0∧[(-1)bso_87] ≥ 0)

We simplified constraint (197) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(198)    (x2[6] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥)∧[(-1)Bound*bni_86] + [(-1)bni_86]x2[6] + [bni_86]x0[6] ≥ 0∧[(-1)bso_87] ≥ 0)

We simplified constraint (198) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(199)    (x2[6] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥)∧0 = 0∧[bni_86] = 0∧[(-1)Bound*bni_86] + [(-1)bni_86]x2[6] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_87] ≥ 0)

• We consider the chain 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0), COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1)), 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]) which results in the following constraint:

(200)    (>(x2[6], -1)=TRUEx0[6]=x0[7]x1[6]=x1[7]x2[6]=x2[7]x0[7]=x0[8]x1[7]=x1[8]1=0+(x2[7], 1)=x3[8]COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0)≥NonInfC∧COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0)≥3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥))

We solved constraint (200) using rules (I), (II).

For Pair 3326_0_SAFEMOVE_LOAD(x0, x1, 0, x3) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3, -1), <(x3, x0)), x0, x1, 0, x3) the following chains were created:
• We consider the chain 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]), COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9]) → 3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1)) which results in the following constraint:

(201)    (&&(>(x3[8], -1), <(x3[8], x0[8]))=TRUEx0[8]=x0[9]x1[8]=x1[9]x3[8]=x3[9]3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8])≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8])≥COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥))

We simplified constraint (201) using rules (IV), (IDP_BOOLEAN) which results in the following new constraint:

(202)    (>(x3[8], -1)=TRUE<(x3[8], x0[8])=TRUE3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8])≥NonInfC∧3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8])≥COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])∧(UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥))

We simplified constraint (202) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(203)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧[(-1)bni_88 + (-1)Bound*bni_88] + [(-1)bni_88]x3[8] + [bni_88]x0[8] ≥ 0∧[(-1)bso_89] ≥ 0)

We simplified constraint (203) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(204)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧[(-1)bni_88 + (-1)Bound*bni_88] + [(-1)bni_88]x3[8] + [bni_88]x0[8] ≥ 0∧[(-1)bso_89] ≥ 0)

We simplified constraint (204) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(205)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧[(-1)bni_88 + (-1)Bound*bni_88] + [(-1)bni_88]x3[8] + [bni_88]x0[8] ≥ 0∧[(-1)bso_89] ≥ 0)

We simplified constraint (205) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(206)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧0 = 0∧[(-1)bni_88 + (-1)Bound*bni_88] + [(-1)bni_88]x3[8] + [bni_88]x0[8] ≥ 0∧0 = 0∧[(-1)bso_89] ≥ 0)

We simplified constraint (206) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(207)    (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧0 = 0∧[(-1)Bound*bni_88] + [bni_88]x0[8] ≥ 0∧0 = 0∧[(-1)bso_89] ≥ 0)

For Pair COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0, x1, 0, x3) → 3326_0_SAFEMOVE_LOAD(x0, x1, 0, +(x3, 1)) the following chains were created:
• We consider the chain 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]), COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9]) → 3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1)), 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0]) which results in the following constraint:

(208)    (&&(>(x3[8], -1), <(x3[8], x0[8]))=TRUEx0[8]=x0[9]x1[8]=x1[9]x3[8]=x3[9]x0[9]=x0[0]x1[9]=x1[0]0=x2[0]+(x3[9], 1)=x3[0]COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9])≥3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥))

We simplified constraint (208) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:

We simplified constraint (209) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(210)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (210) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(211)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (211) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(212)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (212) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(213)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (213) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(214)    (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)Bound*bni_90] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)

• We consider the chain 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]), COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9]) → 3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1)), 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8]) which results in the following constraint:

(215)    (&&(>(x3[8], -1), <(x3[8], x0[8]))=TRUEx0[8]=x0[9]x1[8]=x1[9]x3[8]=x3[9]x0[9]=x0[8]1x1[9]=x1[8]1+(x3[9], 1)=x3[8]1COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9])≥NonInfC∧COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0[9], x1[9], 0, x3[9])≥3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))∧(UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥))

We simplified constraint (215) using rules (III), (IV), (IDP_BOOLEAN) which results in the following new constraint:

We simplified constraint (216) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(217)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (217) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(218)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (218) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(219)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (219) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(220)    (x3[8] ≥ 0∧x0[8] + [-1] + [-1]x3[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)bni_90 + (-1)Bound*bni_90] + [(-1)bni_90]x3[8] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)

We simplified constraint (220) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(221)    (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)Bound*bni_90] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)

To summarize, we get the following constraints P for the following pairs.
• 3326_0_SAFEMOVE_LOAD(x0, x1, x2, x3) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3, x0), >(x2, 0)), x0, x1, x2, x3, x4)
• (x0[0] ≥ 0∧x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72 + (2)bni_72] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)
• (x0[0] ≥ 0∧x2[7] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])), ≥)∧0 = 0∧[(-1)Bound*bni_72 + (2)bni_72] + [bni_72]x0[0] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_73] ≥ 0)

• COND_3326_0_SAFEMOVE_LOAD(TRUE, x0, x1, x2, x3, x4) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0, x1, x3, x4), x0, x1, x3)
• (x3 ≥ 0∧x2[0] ≥ 0∧x1 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x3 ≥ 0∧x2[0] ≥ 0∧x1 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x3 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x9 ≥ 0∧x2[0] ≥ 0∧x8 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x9 ≥ 0∧x2[0] ≥ 0∧x8 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x9 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x18 ≥ 0∧x2[0] ≥ 0∧x19 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x18 ≥ 0∧x2[0] ≥ 0∧x19 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x18 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x22 ≥ 0∧x2[0] ≥ 0∧x21 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x22 ≥ 0∧x2[0] ≥ 0∧x21 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x22 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x26 ≥ 0∧x2[0] ≥ 0∧x24 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x26 ≥ 0∧x2[0] ≥ 0∧x24 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x26 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x32 ≥ 0∧x2[0] ≥ 0∧x31 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x32 ≥ 0∧x2[0] ≥ 0∧x31 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧0 = 0∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x32 ≥ 0∧0 = 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x41 ≥ 0∧x2[0] ≥ 0∧x42 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x41 ≥ 0∧x2[0] ≥ 0∧x42 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x2[0] + [bni_74]x41 ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x45 ≥ 0∧x2[0] ≥ 0∧x44 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)
• (x45 ≥ 0∧x2[0] ≥ 0∧x44 ≥ 0 ⇒ (UIncreasing(3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])), ≥)∧[(-1)Bound*bni_74 + (2)bni_74] + [bni_74]x45 + [bni_74]x2[0] ≥ 0∧[1 + (-1)bso_75] + x2[0] ≥ 0)

• 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧[bni_76] = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_77] ≥ 0)

• 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1, x2, x3) → 3654_0_SAFEMOVE_NE(x1, x2, x3, 1)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧[bni_78] = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)
• ((UIncreasing(3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)), ≥)∧0 = 0∧0 = 0∧0 ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_79] ≥ 0)

• 3654_0_SAFEMOVE_NE(x0, x1, x2, 1) → COND_3654_0_SAFEMOVE_NE(>(x2, -1), x0, x1, x2, 1)
• (x2[4] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)), ≥)∧0 = 0∧[bni_80] = 0∧[(-1)bni_80 + (-1)Bound*bni_80] + [(-1)bni_80]x2[4] ≥ 0∧0 = 0∧0 = 0∧[1 + (-1)bso_81] ≥ 0)

• COND_3654_0_SAFEMOVE_NE(TRUE, x0, x1, x2, 1) → 3326_0_SAFEMOVE_LOAD(x0, x1, 0, +(x2, 1))
• (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧0 = 0∧[bni_82] = 0∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_83] ≥ 0)
• (x2[4] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))), ≥)∧0 = 0∧[bni_82] = 0∧[(-2)bni_82 + (-1)Bound*bni_82] + [(-1)bni_82]x2[4] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_83] ≥ 0)

• 3654_0_SAFEMOVE_NE(x0, x1, x2, 0) → COND_3654_0_SAFEMOVE_NE1(>(x2, -1), x0, x1, x2, 0)
• (x2[6] ≥ 0 ⇒ (UIncreasing(COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)), ≥)∧0 = 0∧[bni_84] = 0∧[(-1)Bound*bni_84] + [(-1)bni_84]x2[6] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_85] ≥ 0)

• COND_3654_0_SAFEMOVE_NE1(TRUE, x0, x1, x2, 0) → 3326_0_SAFEMOVE_LOAD(x0, x1, 1, +(x2, 1))
• (x2[6] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))), ≥)∧0 = 0∧[bni_86] = 0∧[(-1)Bound*bni_86] + [(-1)bni_86]x2[6] ≥ 0∧0 = 0∧0 = 0∧[(-1)bso_87] ≥ 0)

• 3326_0_SAFEMOVE_LOAD(x0, x1, 0, x3) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3, -1), <(x3, x0)), x0, x1, 0, x3)
• (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])), ≥)∧0 = 0∧[(-1)Bound*bni_88] + [bni_88]x0[8] ≥ 0∧0 = 0∧[(-1)bso_89] ≥ 0)

• COND_3326_0_SAFEMOVE_LOAD1(TRUE, x0, x1, 0, x3) → 3326_0_SAFEMOVE_LOAD(x0, x1, 0, +(x3, 1))
• (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)Bound*bni_90] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)
• (x3[8] ≥ 0∧x0[8] ≥ 0 ⇒ (UIncreasing(3326_0_SAFEMOVE_LOAD(x0[9], x1[9], 0, +(x3[9], 1))), ≥)∧0 = 0∧[(-1)Bound*bni_90] + [bni_90]x0[8] ≥ 0∧0 = 0∧[1 + (-1)bso_91] ≥ 0)

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

POL(TRUE) = 0
POL(FALSE) = [3]
POL(3429_0_wrongPos_Load(x1, x2, x3, x4)) = [-1]
POL(Cond_3429_0_wrongPos_Load(x1, x2, x3, x4, x5)) = [-1]
POL(&&(x1, x2)) = [-1]
POL(!(x1)) = [-1]
POL(=(x1, x2)) = [-1]
POL(-(x1, x2)) = x1 + [-1]x2
POL(3626_0_wrongPos_Return) = [-1]
POL(Cond_3429_0_wrongPos_Load1(x1, x2, x3, x4, x5)) = [-1]
POL(Cond_3429_0_wrongPos_Load3(x1, x2, x3, x4, x5)) = [-1] + [-1]x4 + x3
POL(3326_0_SAFEMOVE_LOAD(x1, x2, x3, x4)) = [-1] + [-1]x4 + [2]x3 + x1
POL(COND_3326_0_SAFEMOVE_LOAD(x1, x2, x3, x4, x5, x6)) = [-1]x5 + x4 + x2
POL(<(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(0) = 0
POL(3429_1_SAFEMOVE_INVOKEMETHOD(x1, x2, x3, x4)) = [-1] + [-1]x4 + x2 + [-1]x1
POL(3654_0_SAFEMOVE_NE(x1, x2, x3, x4)) = [-1]x4 + [-1]x3 + x1
POL(1) = [1]
POL(COND_3654_0_SAFEMOVE_NE(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x4 + x2
POL(-1) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(COND_3654_0_SAFEMOVE_NE1(x1, x2, x3, x4, x5)) = [-1]x5 + [-1]x4 + x2
POL(COND_3326_0_SAFEMOVE_LOAD1(x1, x2, x3, x4, x5)) = [-1] + [-1]x5 + [-1]x4 + x2

The following pairs are in P>:

COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])
3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)
3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(>(x2[4], -1), x0[4], x1[4], x2[4], 1)

The following pairs are in Pbound:

3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])
COND_3326_0_SAFEMOVE_LOAD(TRUE, x0[1], x1[1], x2[1], x3[1], x4[1]) → 3429_1_SAFEMOVE_INVOKEMETHOD(3429_0_wrongPos_Load(x0[1], x1[1], x3[1], x4[1]), x0[1], x1[1], x3[1])
3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])

The following pairs are in P:

3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(&&(<(x3[0], x0[0]), >(x2[0], 0)), x0[0], x1[0], x2[0], x3[0], x4[0])
3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)
COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, +(x2[5], 1))
3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(>(x2[6], -1), x0[6], x1[6], x2[6], 0)
COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, +(x2[7], 1))
3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(&&(>(x3[8], -1), <(x3[8], x0[8])), x0[8], x1[8], 0, x3[8])

At least the following rules have been oriented under context sensitive arithmetic replacement:

FALSE1&&(FALSE, FALSE)1
3429_0_wrongPos_Load(x0, x1, x2, x3)1Cond_3429_0_wrongPos_Load(&&(&&(&&(!(=(x1, x3)), !(=(x0, x2))), !(=(-(x0, x2), -(x3, x1)))), !(=(-(x0, x2), -(x1, x3)))), x0, x1, x2, x3)1
3429_0_wrongPos_Load(x0, x1, x1, x0)1Cond_3429_0_wrongPos_Load3(&&(&&(!(=(x1, x0)), !(=(x0, x1))), !(=(-(x0, x1), -(x1, x0)))), x0, x1, x1, x0)1
FALSE1!(TRUE)1
TRUE1!(FALSE)1

### (10) Obligation:

IDP problem:
The following function symbols are pre-defined:
 != ~ Neq: (Integer, Integer) -> Boolean * ~ Mul: (Integer, Integer) -> Integer >= ~ Ge: (Integer, Integer) -> Boolean -1 ~ UnaryMinus: (Integer) -> Integer | ~ Bwor: (Integer, Integer) -> Integer / ~ Div: (Integer, Integer) -> Integer = ~ Eq: (Integer, Integer) -> Boolean ~ Bwxor: (Integer, Integer) -> Integer || ~ Lor: (Boolean, Boolean) -> Boolean ! ~ Lnot: (Boolean) -> Boolean < ~ Lt: (Integer, Integer) -> Boolean - ~ Sub: (Integer, Integer) -> Integer <= ~ Le: (Integer, Integer) -> Boolean > ~ Gt: (Integer, Integer) -> Boolean ~ ~ Bwnot: (Integer) -> Integer % ~ Mod: (Integer, Integer) -> Integer & ~ Bwand: (Integer, Integer) -> Integer + ~ Add: (Integer, Integer) -> Integer && ~ Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Boolean, Integer

The ITRS R consists of the following rules:
3429_0_wrongPos_Load(x0, x1, x2, x3) → Cond_3429_0_wrongPos_Load(!(x1 = x3) && !(x0 = x2) && !(x0 - x2 = x3 - x1) && !(x0 - x2 = x1 - x3), x0, x1, x2, x3)
Cond_3429_0_wrongPos_Load(TRUE, x0, x1, x2, x3) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x0, x2) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x2, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x2), x0, x1, x2, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x1, x2, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x0, x1, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x1), x0, x0, x1, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x0, x1, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x1, x0) → Cond_3429_0_wrongPos_Load3(!(x1 = x0) && !(x0 = x1) && !(x0 - x1 = x1 - x0), x0, x1, x1, x0)
Cond_3429_0_wrongPos_Load3(TRUE, x0, x1, x1, x0) → 3626_0_wrongPos_Return

The integer pair graph contains the following rules and edges:
(0): 3326_0_SAFEMOVE_LOAD(x0[0], x1[0], x2[0], x3[0]) → COND_3326_0_SAFEMOVE_LOAD(x3[0] < x0[0] && x2[0] > 0, x0[0], x1[0], x2[0], x3[0], x4[0])
(2): 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)
(5): COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, x2[5] + 1)
(6): 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(x2[6] > -1, x0[6], x1[6], x2[6], 0)
(7): COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, x2[7] + 1)
(8): 3326_0_SAFEMOVE_LOAD(x0[8], x1[8], 0, x3[8]) → COND_3326_0_SAFEMOVE_LOAD1(x3[8] > -1 && x3[8] < x0[8], x0[8], x1[8], 0, x3[8])

(5) -> (0), if (x0[5]* x0[0]x1[5]* x1[0]0* x2[0]x2[5] + 1* x3[0])

(7) -> (0), if (x0[7]* x0[0]x1[7]* x1[0]1* x2[0]x2[7] + 1* x3[0])

(2) -> (6), if (x1[2]* x0[6]x2[2]* x1[6]x3[2]* x2[6])

(6) -> (7), if (x2[6] > -1x0[6]* x0[7]x1[6]* x1[7]x2[6]* x2[7])

(5) -> (8), if (x0[5]* x0[8]x1[5]* x1[8]x2[5] + 1* x3[8])

(7) -> (8), if (x0[7]* x0[8]x1[7]* x1[8]1* 0x2[7] + 1* x3[8])

The set Q consists of the following terms:

### (11) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 6 less nodes.

### (13) Obligation:

IDP problem:
The following function symbols are pre-defined:
 != ~ Neq: (Integer, Integer) -> Boolean * ~ Mul: (Integer, Integer) -> Integer >= ~ Ge: (Integer, Integer) -> Boolean -1 ~ UnaryMinus: (Integer) -> Integer | ~ Bwor: (Integer, Integer) -> Integer / ~ Div: (Integer, Integer) -> Integer = ~ Eq: (Integer, Integer) -> Boolean ~ Bwxor: (Integer, Integer) -> Integer || ~ Lor: (Boolean, Boolean) -> Boolean ! ~ Lnot: (Boolean) -> Boolean < ~ Lt: (Integer, Integer) -> Boolean - ~ Sub: (Integer, Integer) -> Integer <= ~ Le: (Integer, Integer) -> Boolean > ~ Gt: (Integer, Integer) -> Boolean ~ ~ Bwnot: (Integer) -> Integer % ~ Mod: (Integer, Integer) -> Integer & ~ Bwand: (Integer, Integer) -> Integer + ~ Add: (Integer, Integer) -> Integer && ~ Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Boolean, Integer

The ITRS R consists of the following rules:
3429_0_wrongPos_Load(x0, x1, x2, x3) → Cond_3429_0_wrongPos_Load(!(x1 = x3) && !(x0 = x2) && !(x0 - x2 = x3 - x1) && !(x0 - x2 = x1 - x3), x0, x1, x2, x3)
Cond_3429_0_wrongPos_Load(TRUE, x0, x1, x2, x3) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x0, x2) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x2, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x2), x0, x1, x2, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x1, x2, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x0, x1, x1) → Cond_3429_0_wrongPos_Load1(!(x0 = x1), x0, x0, x1, x1)
Cond_3429_0_wrongPos_Load1(TRUE, x0, x0, x1, x1) → 3626_0_wrongPos_Return
3429_0_wrongPos_Load(x0, x1, x1, x0) → Cond_3429_0_wrongPos_Load3(!(x1 = x0) && !(x0 = x1) && !(x0 - x1 = x1 - x0), x0, x1, x1, x0)
Cond_3429_0_wrongPos_Load3(TRUE, x0, x1, x1, x0) → 3626_0_wrongPos_Return

The integer pair graph contains the following rules and edges:
(2): 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[2], x2[2], x3[2]) → 3654_0_SAFEMOVE_NE(x1[2], x2[2], x3[2], 0)
(3): 3429_1_SAFEMOVE_INVOKEMETHOD(3626_0_wrongPos_Return, x1[3], x2[3], x3[3]) → 3654_0_SAFEMOVE_NE(x1[3], x2[3], x3[3], 1)
(4): 3654_0_SAFEMOVE_NE(x0[4], x1[4], x2[4], 1) → COND_3654_0_SAFEMOVE_NE(x2[4] > -1, x0[4], x1[4], x2[4], 1)
(5): COND_3654_0_SAFEMOVE_NE(TRUE, x0[5], x1[5], x2[5], 1) → 3326_0_SAFEMOVE_LOAD(x0[5], x1[5], 0, x2[5] + 1)
(6): 3654_0_SAFEMOVE_NE(x0[6], x1[6], x2[6], 0) → COND_3654_0_SAFEMOVE_NE1(x2[6] > -1, x0[6], x1[6], x2[6], 0)
(7): COND_3654_0_SAFEMOVE_NE1(TRUE, x0[7], x1[7], x2[7], 0) → 3326_0_SAFEMOVE_LOAD(x0[7], x1[7], 1, x2[7] + 1)

(2) -> (4), if (x1[2]* x0[4]x2[2]* x1[4]x3[2]* x2[4]0* 1)

(3) -> (4), if (x1[3]* x0[4]x2[3]* x1[4]x3[3]* x2[4])

(4) -> (5), if (x2[4] > -1x0[4]* x0[5]x1[4]* x1[5]x2[4]* x2[5])

(2) -> (6), if (x1[2]* x0[6]x2[2]* x1[6]x3[2]* x2[6])

(3) -> (6), if (x1[3]* x0[6]x2[3]* x1[6]x3[3]* x2[6]1* 0)

(6) -> (7), if (x2[6] > -1x0[6]* x0[7]x1[6]* x1[7]x2[6]* x2[7])

The set Q consists of the following terms:

### (14) IDependencyGraphProof (EQUIVALENT transformation)

The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 0 SCCs with 6 less nodes.

### (16) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Queen.displayChessboard()V
SCC calls the following helper methods:
Performed SCC analyses: UsedFieldsAnalysis

### (17) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 32 rules for P and 0 rules for R.

P rules:
2629_0_displayChessboard_FieldAccess(EOS(STATIC_2629(i661)), i662, i662) → 2638_0_displayChessboard_GE(EOS(STATIC_2638(i661)), i662, i662, i661)
2638_0_displayChessboard_GE(EOS(STATIC_2638(i661)), i662, i662, i661) → 2648_0_displayChessboard_GE(EOS(STATIC_2648(i661)), i662, i662, i661)
2648_0_displayChessboard_GE(EOS(STATIC_2648(i661)), i662, i662, i661) → 2659_0_displayChessboard_ConstantStackPush(EOS(STATIC_2659(i661)), i662) | <(i662, i661)
2659_0_displayChessboard_ConstantStackPush(EOS(STATIC_2659(i661)), i662) → 2671_0_displayChessboard_Store(EOS(STATIC_2671(i661)), i662, 0)
2671_0_displayChessboard_Store(EOS(STATIC_2671(i661)), i662, matching1) → 2688_0_displayChessboard_Load(EOS(STATIC_2688(i661)), i662, 0) | =(matching1, 0)
3141_0_displayChessboard_Load(EOS(STATIC_3141(i728)), i662, i825) → 3148_0_displayChessboard_FieldAccess(EOS(STATIC_3148(i728)), i662, i825, i825)
3148_0_displayChessboard_FieldAccess(EOS(STATIC_3148(i728)), i662, i825, i825) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728)
3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728) → 3165_0_displayChessboard_GE(EOS(STATIC_3165(i728)), i662, i825, i825, i728)
3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728) → 3166_0_displayChessboard_GE(EOS(STATIC_3166(i728)), i662, i825, i825, i728)
3165_0_displayChessboard_GE(EOS(STATIC_3165(i728)), i662, i825, i825, i728) → 3172_0_displayChessboard_Inc(EOS(STATIC_3172(i728)), i662) | >=(i825, i728)
3172_0_displayChessboard_Inc(EOS(STATIC_3172(i728)), i662) → 3179_0_displayChessboard_JMP(EOS(STATIC_3179(i728)), +(i662, 1)) | >=(i662, 0)
2621_0_displayChessboard_Load(EOS(STATIC_2621(i661)), i662) → 2629_0_displayChessboard_FieldAccess(EOS(STATIC_2629(i661)), i662, i662)
3166_0_displayChessboard_GE(EOS(STATIC_3166(i728)), i662, i825, i825, i728) → 3174_0_displayChessboard_FieldAccess(EOS(STATIC_3174(i728)), i662, i825) | <(i825, i728)
3174_0_displayChessboard_FieldAccess(EOS(STATIC_3174(i728)), i662, i825) → 3180_0_displayChessboard_Load(EOS(STATIC_3180(i728)), i662, i825, java.lang.Object(ARRAY(i728)))
3180_0_displayChessboard_Load(EOS(STATIC_3180(i728)), i662, i825, java.lang.Object(ARRAY(i728))) → 3188_0_displayChessboard_ArrayAccess(EOS(STATIC_3188(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3188_0_displayChessboard_ArrayAccess(EOS(STATIC_3188(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3196_0_displayChessboard_ArrayAccess(EOS(STATIC_3196(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3196_0_displayChessboard_ArrayAccess(EOS(STATIC_3196(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3205_0_displayChessboard_Load(EOS(STATIC_3205(i728)), i662, i825, i845) | <(i662, i728)
3205_0_displayChessboard_Load(EOS(STATIC_3205(i728)), i662, i825, i845) → 3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i845, i825)
3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i825, i825) → 3225_0_displayChessboard_EQ(EOS(STATIC_3225(i728)), i662, i825, i825, i825)
3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i845, i825) → 3226_0_displayChessboard_EQ(EOS(STATIC_3226(i728)), i662, i825, i845, i825)
3225_0_displayChessboard_EQ(EOS(STATIC_3225(i728)), i662, i825, i825, i825) → 3235_0_displayChessboard_Inc(EOS(STATIC_3235(i728)), i662, i825)
3235_0_displayChessboard_Inc(EOS(STATIC_3235(i728)), i662, i825) → 3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825)
3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825) → 3245_0_displayChessboard_JMP(EOS(STATIC_3245(i728)), i662, +(i825, 1)) | >=(i825, 0)
3245_0_displayChessboard_JMP(EOS(STATIC_3245(i728)), i662, i859) → 3257_0_displayChessboard_Load(EOS(STATIC_3257(i728)), i662, i859)
3226_0_displayChessboard_EQ(EOS(STATIC_3226(i728)), i662, i825, i845, i825) → 3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825) | !(=(i845, i825))
R rules:

Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.

P rules:
3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, x2, x2, x0) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), +(x1, 1), 0, 0, x0) | &&(&&(>=(x2, x0), >(+(x1, 1), 0)), >(x0, +(x1, 1)))
3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, x2, x2, x0) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, +(x2, 1), +(x2, 1), x0) | &&(&&(>(+(x2, 1), 0), <(x2, x0)), <(x1, x0))
R rules:

Filtered duplicate args:

3160_0_displayChessboard_GE(x1, x2, x3, x4, x5) → 3160_0_displayChessboard_GE(x1, x2, x4)
Cond_3160_0_displayChessboard_GE(x1, x2, x3, x4, x5, x6) → Cond_3160_0_displayChessboard_GE(x1, x2, x3, x5)
Cond_3160_0_displayChessboard_GE1(x1, x2, x3, x4, x5, x6) → Cond_3160_0_displayChessboard_GE1(x1, x2, x3, x5)

Filtered unneeded arguments:

Cond_3160_0_displayChessboard_GE(x1, x2, x3, x4) → Cond_3160_0_displayChessboard_GE(x1, x2, x3)

Combined rules. Obtained 2 conditional rules for P and 0 conditional rules for R.

P rules:
3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, x2) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), +(x1, 1), 0) | &&(&&(>=(x2, x0), >(x1, -1)), >(x0, +(x1, 1)))
3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, x2) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(x0)), x1, +(x2, 1)) | &&(&&(>(x2, -1), <(x2, x0)), <(x1, x0))
R rules:

Finished conversion. Obtained 4 rules for P and 0 rules for R. System has predefined symbols.

P rules:
3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2, x0), >(x1, -1)), >(x0, +(x1, 1))), EOS(STATIC_3160(x0)), x1, x2)
COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), +(x1, 1), 0)
3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2, -1), <(x2, x0)), <(x1, x0)), EOS(STATIC_3160(x0)), x1, x2)
COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, +(x2, 1))
R rules:

### (18) Obligation:

IDP problem:
The following function symbols are pre-defined:
 != ~ Neq: (Integer, Integer) -> Boolean * ~ Mul: (Integer, Integer) -> Integer >= ~ Ge: (Integer, Integer) -> Boolean -1 ~ UnaryMinus: (Integer) -> Integer | ~ Bwor: (Integer, Integer) -> Integer / ~ Div: (Integer, Integer) -> Integer = ~ Eq: (Integer, Integer) -> Boolean ~ Bwxor: (Integer, Integer) -> Integer || ~ Lor: (Boolean, Boolean) -> Boolean ! ~ Lnot: (Boolean) -> Boolean < ~ Lt: (Integer, Integer) -> Boolean - ~ Sub: (Integer, Integer) -> Integer <= ~ Le: (Integer, Integer) -> Boolean > ~ Gt: (Integer, Integer) -> Boolean ~ ~ Bwnot: (Integer) -> Integer % ~ Mod: (Integer, Integer) -> Integer & ~ Bwand: (Integer, Integer) -> Integer + ~ Add: (Integer, Integer) -> Integer && ~ Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Boolean, Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0]) → COND_3160_0_DISPLAYCHESSBOARD_GE(x2[0] >= x0[0] && x1[0] > -1 && x0[0] > x1[0] + 1, EOS(STATIC_3160(x0[0])), x1[0], x2[0])
(1): COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), x1[1] + 1, 0)
(2): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2], EOS(STATIC_3160(x0[2])), x1[2], x2[2])
(3): COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], x2[3] + 1)

(0) -> (1), if (x2[0] >= x0[0] && x1[0] > -1 && x0[0] > x1[0] + 1EOS(STATIC_3160(x0[0])) →* EOS(STATIC_3160(x0[1]))∧x1[0]* x1[1]x2[0]* x2[1])

(1) -> (0), if (EOS(STATIC_3160(x0[1])) →* EOS(STATIC_3160(x0[0]))∧x1[1] + 1* x1[0]0* x2[0])

(1) -> (2), if (EOS(STATIC_3160(x0[1])) →* EOS(STATIC_3160(x0[2]))∧x1[1] + 1* x1[2]0* x2[2])

(2) -> (3), if (x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2]EOS(STATIC_3160(x0[2])) →* EOS(STATIC_3160(x0[3]))∧x1[2]* x1[3]x2[2]* x2[3])

(3) -> (0), if (EOS(STATIC_3160(x0[3])) →* EOS(STATIC_3160(x0[0]))∧x1[3]* x1[0]x2[3] + 1* x2[0])

(3) -> (2), if (EOS(STATIC_3160(x0[3])) →* EOS(STATIC_3160(x0[2]))∧x1[3]* x1[2]x2[3] + 1* x2[2])

The set Q is empty.

### (19) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: false Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpCand1ShapeHeuristic@3adaac49 Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 0 Max Right Steps: 0

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

For Pair 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2, x0), >(x1, -1)), >(x0, +(x1, 1))), EOS(STATIC_3160(x0)), x1, x2) the following chains were created:
• We consider the chain 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0]) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0]), COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0) which results in the following constraint:

(1)    (&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1)))=TRUEEOS(STATIC_3160(x0[0]))=EOS(STATIC_3160(x0[1]))∧x1[0]=x1[1]x2[0]=x2[1]3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0])≥COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥))

We simplified constraint (1) using rules (I), (II), (IV), (IDP_BOOLEAN) which results in the following new constraint:

(2)    (>(x0[0], +(x1[0], 1))=TRUE>=(x2[0], x0[0])=TRUE>(x1[0], -1)=TRUE3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0])≥COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(3)    (x0[0] + [-2] + [-1]x1[0] ≥ 0∧x2[0] + [-1]x0[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[(-1)bni_13 + (-1)Bound*bni_13] + [(-1)bni_13]x1[0] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(4)    (x0[0] + [-2] + [-1]x1[0] ≥ 0∧x2[0] + [-1]x0[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[(-1)bni_13 + (-1)Bound*bni_13] + [(-1)bni_13]x1[0] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(5)    (x0[0] + [-2] + [-1]x1[0] ≥ 0∧x2[0] + [-1]x0[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[(-1)bni_13 + (-1)Bound*bni_13] + [(-1)bni_13]x1[0] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

We simplified constraint (5) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(6)    (x0[0] ≥ 0∧x2[0] + [-2] + [-1]x1[0] + [-1]x0[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[bni_13 + (-1)Bound*bni_13] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

We simplified constraint (6) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(7)    (x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[bni_13 + (-1)Bound*bni_13] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

For Pair COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), +(x1, 1), 0) the following chains were created:
• We consider the chain COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0) which results in the following constraint:

(8)    (COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1])≥NonInfC∧COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1])≥3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)∧(UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥))

We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(9)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥)∧[bni_15] = 0∧[1 + (-1)bso_16] ≥ 0)

We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(10)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥)∧[bni_15] = 0∧[1 + (-1)bso_16] ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(11)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥)∧[bni_15] = 0∧[1 + (-1)bso_16] ≥ 0)

We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(12)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥)∧[bni_15] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_16] ≥ 0)

For Pair 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2, -1), <(x2, x0)), <(x1, x0)), EOS(STATIC_3160(x0)), x1, x2) the following chains were created:
• We consider the chain 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2]), COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1)) which results in the following constraint:

(13)    (&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2]))=TRUEEOS(STATIC_3160(x0[2]))=EOS(STATIC_3160(x0[3]))∧x1[2]=x1[3]x2[2]=x2[3]3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥))

We simplified constraint (13) using rules (I), (II), (IV), (IDP_BOOLEAN) which results in the following new constraint:

(14)    (<(x1[2], x0[2])=TRUE>(x2[2], -1)=TRUE<(x2[2], x0[2])=TRUE3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥))

We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(15)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_17 + (-1)Bound*bni_17] + [(-1)bni_17]x1[2] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(16)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_17 + (-1)Bound*bni_17] + [(-1)bni_17]x1[2] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(17)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_17 + (-1)Bound*bni_17] + [(-1)bni_17]x1[2] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

We simplified constraint (17) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(18)    (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

We simplified constraint (18) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

(19)    (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

(20)    (x0[2] ≥ 0∧x2[2] ≥ 0∧[-1]x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

We simplified constraint (20) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(21)    (x1[2] + x2[2] + x0[2] ≥ 0∧x2[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x2[2] + [bni_17]x1[2] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

For Pair COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, +(x2, 1)) the following chains were created:
• We consider the chain COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1)) which results in the following constraint:

(22)    (COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3])≥NonInfC∧COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3])≥3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))∧(UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥))

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

(23)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_19] = 0∧[(-1)bso_20] ≥ 0)

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

(24)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_19] = 0∧[(-1)bso_20] ≥ 0)

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

(25)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_19] = 0∧[(-1)bso_20] ≥ 0)

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

(26)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_19] = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_20] ≥ 0)

To summarize, we get the following constraints P for the following pairs.
• 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2, x0), >(x1, -1)), >(x0, +(x1, 1))), EOS(STATIC_3160(x0)), x1, x2)
• (x0[0] ≥ 0∧x2[0] ≥ 0∧x1[0] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])), ≥)∧[bni_13 + (-1)Bound*bni_13] + [bni_13]x0[0] ≥ 0∧[(-1)bso_14] ≥ 0)

• COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), +(x1, 1), 0)
• ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)), ≥)∧[bni_15] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_16] ≥ 0)

• 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, x2) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2, -1), <(x2, x0)), <(x1, x0)), EOS(STATIC_3160(x0)), x1, x2)
• (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)
• (x1[2] + x2[2] + x0[2] ≥ 0∧x2[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)Bound*bni_17] + [bni_17]x2[2] + [bni_17]x1[2] + [bni_17]x0[2] ≥ 0∧[(-1)bso_18] ≥ 0)

• COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0)), x1, x2) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0)), x1, +(x2, 1))
• ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_19] = 0∧0 = 0∧0 = 0∧0 = 0∧[(-1)bso_20] ≥ 0)

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

POL(TRUE) = 0
POL(FALSE) = 0
POL(3160_0_DISPLAYCHESSBOARD_GE(x1, x2, x3)) = [-1] + [-1]x2 + x1
POL(EOS(x1)) = x1
POL(STATIC_3160(x1)) = x1
POL(COND_3160_0_DISPLAYCHESSBOARD_GE(x1, x2, x3, x4)) = [-1] + [-1]x3 + x2
POL(&&(x1, x2)) = [-1]
POL(>=(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(-1) = [-1]
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
POL(0) = 0
POL(COND_3160_0_DISPLAYCHESSBOARD_GE1(x1, x2, x3, x4)) = [-1] + [-1]x3 + x2
POL(<(x1, x2)) = [-1]

The following pairs are in P>:

COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), +(x1[1], 1), 0)

The following pairs are in Pbound:

3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0]) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])
3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])

The following pairs are in P:

3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0]) → COND_3160_0_DISPLAYCHESSBOARD_GE(&&(&&(>=(x2[0], x0[0]), >(x1[0], -1)), >(x0[0], +(x1[0], 1))), EOS(STATIC_3160(x0[0])), x1[0], x2[0])
3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])
COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))

There are no usable rules.

### (21) 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:

Boolean, Integer

R is empty.

The integer pair graph contains the following rules and edges:
(0): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[0])), x1[0], x2[0]) → COND_3160_0_DISPLAYCHESSBOARD_GE(x2[0] >= x0[0] && x1[0] > -1 && x0[0] > x1[0] + 1, EOS(STATIC_3160(x0[0])), x1[0], x2[0])
(2): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2], EOS(STATIC_3160(x0[2])), x1[2], x2[2])
(3): COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], x2[3] + 1)

(3) -> (0), if (EOS(STATIC_3160(x0[3])) →* EOS(STATIC_3160(x0[0]))∧x1[3]* x1[0]x2[3] + 1* x2[0])

(3) -> (2), if (EOS(STATIC_3160(x0[3])) →* EOS(STATIC_3160(x0[2]))∧x1[3]* x1[2]x2[3] + 1* x2[2])

(2) -> (3), if (x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2]EOS(STATIC_3160(x0[2])) →* EOS(STATIC_3160(x0[3]))∧x1[2]* x1[3]x2[2]* x2[3])

The set Q is empty.

### (22) IDependencyGraphProof (EQUIVALENT transformation)

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

### (23) 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, Boolean

R is empty.

The integer pair graph contains the following rules and edges:
(3): COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], x2[3] + 1)
(2): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2], EOS(STATIC_3160(x0[2])), x1[2], x2[2])

(3) -> (2), if (EOS(STATIC_3160(x0[3])) →* EOS(STATIC_3160(x0[2]))∧x1[3]* x1[2]x2[3] + 1* x2[2])

(2) -> (3), if (x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2]EOS(STATIC_3160(x0[2])) →* EOS(STATIC_3160(x0[3]))∧x1[2]* x1[3]x2[2]* x2[3])

The set Q is empty.

### (24) IDPNonInfProof (SOUND transformation)

Used the following options for this NonInfProof:
IDPGPoloSolver: Range: [(-1,2)] IsNat: false Interpretation Shape Heuristic: aprove.DPFramework.IDPProblem.Processors.nonInf.poly.IdpCand1ShapeHeuristic@3adaac49 Constraint Generator: NonInfConstraintGenerator: PathGenerator: MetricPathGenerator: Max Left Steps: 0 Max Right Steps: 0

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

For Pair COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1)) the following chains were created:
• We consider the chain COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1)) which results in the following constraint:

(1)    (COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3])≥NonInfC∧COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3])≥3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))∧(UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥))

We simplified constraint (1) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(2)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_10] = 0∧[1 + (-1)bso_11] ≥ 0)

We simplified constraint (2) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(3)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_10] = 0∧[1 + (-1)bso_11] ≥ 0)

We simplified constraint (3) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(4)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_10] = 0∧[1 + (-1)bso_11] ≥ 0)

We simplified constraint (4) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(5)    ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_10] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_11] ≥ 0)

For Pair 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2]) the following chains were created:
• We consider the chain 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2]), COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1)) which results in the following constraint:

(6)    (&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2]))=TRUEEOS(STATIC_3160(x0[2]))=EOS(STATIC_3160(x0[3]))∧x1[2]=x1[3]x2[2]=x2[3]3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥))

We simplified constraint (6) using rules (I), (II), (IV), (IDP_BOOLEAN) which results in the following new constraint:

(7)    (<(x1[2], x0[2])=TRUE>(x2[2], -1)=TRUE<(x2[2], x0[2])=TRUE3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥NonInfC∧3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2])≥COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])∧(UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥))

We simplified constraint (7) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(8)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [(-1)bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

We simplified constraint (8) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(9)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [(-1)bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

We simplified constraint (9) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(10)    (x0[2] + [-1] + [-1]x1[2] ≥ 0∧x2[2] ≥ 0∧x0[2] + [-1] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[(-1)bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [(-1)bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

We simplified constraint (10) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(11)    (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

We simplified constraint (11) using rule (IDP_SMT_SPLIT) which results in the following new constraints:

(12)    (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

(13)    (x0[2] ≥ 0∧x2[2] ≥ 0∧[-1]x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [(-1)bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

We simplified constraint (13) using rule (IDP_SMT_SPLIT) which results in the following new constraint:

(14)    (x1[2] + x2[2] + x0[2] ≥ 0∧x2[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [bni_12]x2[2] + [bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

To summarize, we get the following constraints P for the following pairs.
• COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))
• ((UIncreasing(3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))), ≥)∧[bni_10] = 0∧0 = 0∧0 = 0∧0 = 0∧[1 + (-1)bso_11] ≥ 0)

• 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])
• (x0[2] ≥ 0∧x2[2] ≥ 0∧x1[2] + x0[2] + [-1]x2[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [(-1)bni_12]x2[2] + [bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)
• (x1[2] + x2[2] + x0[2] ≥ 0∧x2[2] ≥ 0∧x0[2] ≥ 0∧x1[2] ≥ 0 ⇒ (UIncreasing(COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])), ≥)∧[bni_12 + (-1)Bound*bni_12] + [bni_12]x2[2] + [bni_12]x1[2] + [(2)bni_12]x0[2] ≥ 0∧[(-1)bso_13] ≥ 0)

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

POL(TRUE) = 0
POL(FALSE) = 0
POL(COND_3160_0_DISPLAYCHESSBOARD_GE1(x1, x2, x3, x4)) = [-1] + [-1]x3 + [2]x2 + [-1]x4
POL(EOS(x1)) = x1
POL(STATIC_3160(x1)) = x1
POL(3160_0_DISPLAYCHESSBOARD_GE(x1, x2, x3)) = [-1] + [-1]x3 + [-1]x2 + [2]x1
POL(+(x1, x2)) = x1 + x2
POL(1) = [1]
POL(&&(x1, x2)) = [-1]
POL(>(x1, x2)) = [-1]
POL(-1) = [-1]
POL(<(x1, x2)) = [-1]

The following pairs are in P>:

COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], +(x2[3], 1))

The following pairs are in Pbound:

3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])

The following pairs are in P:

3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(&&(&&(>(x2[2], -1), <(x2[2], x0[2])), <(x1[2], x0[2])), EOS(STATIC_3160(x0[2])), x1[2], x2[2])

There are no usable rules.

### (26) 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:

Boolean, Integer

R is empty.

The integer pair graph contains the following rules and edges:
(2): 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[2])), x1[2], x2[2]) → COND_3160_0_DISPLAYCHESSBOARD_GE1(x2[2] > -1 && x2[2] < x0[2] && x1[2] < x0[2], EOS(STATIC_3160(x0[2])), x1[2], x2[2])

The set Q is empty.

### (27) IDependencyGraphProof (EQUIVALENT transformation)

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

### (29) Obligation:

IDP problem:
The following function symbols are pre-defined:
 != ~ Neq: (Integer, Integer) -> Boolean * ~ Mul: (Integer, Integer) -> Integer >= ~ Ge: (Integer, Integer) -> Boolean -1 ~ UnaryMinus: (Integer) -> Integer | ~ Bwor: (Integer, Integer) -> Integer / ~ Div: (Integer, Integer) -> Integer = ~ Eq: (Integer, Integer) -> Boolean ~ Bwxor: (Integer, Integer) -> Integer || ~ Lor: (Boolean, Boolean) -> Boolean ! ~ Lnot: (Boolean) -> Boolean < ~ Lt: (Integer, Integer) -> Boolean - ~ Sub: (Integer, Integer) -> Integer <= ~ Le: (Integer, Integer) -> Boolean > ~ Gt: (Integer, Integer) -> Boolean ~ ~ Bwnot: (Integer) -> Integer % ~ Mod: (Integer, Integer) -> Integer & ~ Bwand: (Integer, Integer) -> Integer + ~ Add: (Integer, Integer) -> Integer && ~ Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(3): COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], x2[3] + 1)

The set Q is empty.

### (30) IDependencyGraphProof (EQUIVALENT transformation)

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

### (32) Obligation:

IDP problem:
The following function symbols are pre-defined:
 != ~ Neq: (Integer, Integer) -> Boolean * ~ Mul: (Integer, Integer) -> Integer >= ~ Ge: (Integer, Integer) -> Boolean -1 ~ UnaryMinus: (Integer) -> Integer | ~ Bwor: (Integer, Integer) -> Integer / ~ Div: (Integer, Integer) -> Integer = ~ Eq: (Integer, Integer) -> Boolean ~ Bwxor: (Integer, Integer) -> Integer || ~ Lor: (Boolean, Boolean) -> Boolean ! ~ Lnot: (Boolean) -> Boolean < ~ Lt: (Integer, Integer) -> Boolean - ~ Sub: (Integer, Integer) -> Integer <= ~ Le: (Integer, Integer) -> Boolean > ~ Gt: (Integer, Integer) -> Boolean ~ ~ Bwnot: (Integer) -> Integer % ~ Mod: (Integer, Integer) -> Integer & ~ Bwand: (Integer, Integer) -> Integer + ~ Add: (Integer, Integer) -> Integer && ~ Land: (Boolean, Boolean) -> Boolean

The following domains are used:

Integer

R is empty.

The integer pair graph contains the following rules and edges:
(1): COND_3160_0_DISPLAYCHESSBOARD_GE(TRUE, EOS(STATIC_3160(x0[1])), x1[1], x2[1]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[1])), x1[1] + 1, 0)
(3): COND_3160_0_DISPLAYCHESSBOARD_GE1(TRUE, EOS(STATIC_3160(x0[3])), x1[3], x2[3]) → 3160_0_DISPLAYCHESSBOARD_GE(EOS(STATIC_3160(x0[3])), x1[3], x2[3] + 1)

The set Q is empty.

### (33) IDependencyGraphProof (EQUIVALENT transformation)

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

### (35) Obligation:

SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: Queen.search(I)Z
SCC calls the following helper methods: Queen.safeMove(II)Z, Queen.search(I)Z, Queen.wrongPos(IIII)Z, Queen.displayChessboard()V
Performed SCC analyses: UsedFieldsAnalysis

### (36) SCCToIDPv1Proof (SOUND transformation)

Transformed FIGraph SCCs to IDPs. Log:

Generated 49 rules for P and 260 rules for R.

P rules:
3269_0_search_Store(EOS(STATIC_3269(i867)), i866, matching1) → 3274_0_search_Load(EOS(STATIC_3274(i867)), i866, 0) | =(matching1, 0)
3274_0_search_Load(EOS(STATIC_3274(i867)), i866, matching1) → 3279_0_search_FieldAccess(EOS(STATIC_3279(i867)), i866, 0, i866) | =(matching1, 0)
3279_0_search_FieldAccess(EOS(STATIC_3279(i867)), i866, matching1, i866) → 3283_0_search_LT(EOS(STATIC_3283(i867)), i866, 0, i866, i867) | =(matching1, 0)
3283_0_search_LT(EOS(STATIC_3283(i867)), i866, matching1, i866, i867) → 3290_0_search_LT(EOS(STATIC_3290(i867)), i866, 0, i866, i867) | =(matching1, 0)
3290_0_search_LT(EOS(STATIC_3290(i867)), i866, matching1, i866, i867) → 3295_0_search_ConstantStackPush(EOS(STATIC_3295(i867)), i866, 0) | &&(<(i866, i867), =(matching1, 0))
3295_0_search_ConstantStackPush(EOS(STATIC_3295(i867)), i866, matching1) → 3301_0_search_Store(EOS(STATIC_3301(i867)), i866, 0, 0) | =(matching1, 0)
3301_0_search_Store(EOS(STATIC_3301(i867)), i866, matching1, matching2) → 3307_0_search_Load(EOS(STATIC_3307(i867)), i866, 0, 0) | &&(=(matching1, 0), =(matching2, 0))
3307_0_search_Load(EOS(STATIC_3307(i867)), i866, matching1, matching2) → 3443_0_search_Load(EOS(STATIC_3443(i867)), i866, 0, 0) | &&(=(matching1, 0), =(matching2, 0))
3443_0_search_Load(EOS(STATIC_3443(i916)), i915, matching1, i918) → 3572_0_search_Load(EOS(STATIC_3572(i916)), i915, 0, i918) | =(matching1, 0)
3572_0_search_Load(EOS(STATIC_3572(i985)), i984, matching1, i987) → 3694_0_search_Load(EOS(STATIC_3694(i985)), i984, 0, i987) | =(matching1, 0)
3694_0_search_Load(EOS(STATIC_3694(i1089)), i1088, matching1, i1091) → 3759_0_search_Load(EOS(STATIC_3759(i1089)), i1088, 0, i1091) | =(matching1, 0)
3759_0_search_Load(EOS(STATIC_3759(i1145)), i1144, matching1, i1147) → 3873_0_search_Load(EOS(STATIC_3873(i1145)), i1144, 0, i1147) | =(matching1, 0)
3873_0_search_Load(EOS(STATIC_3873(i1236)), i1235, matching1, i1238) → 3876_0_search_NE(EOS(STATIC_3876(i1236)), i1235, 0, i1238, 0) | =(matching1, 0)
3876_0_search_NE(EOS(STATIC_3876(i1236)), i1235, matching1, i1238, matching2) → 3880_0_search_Load(EOS(STATIC_3880(i1236)), i1235, 0, i1238) | &&(=(matching1, 0), =(matching2, 0))
3880_0_search_Load(EOS(STATIC_3880(i1236)), i1235, matching1, i1238) → 3882_0_search_FieldAccess(EOS(STATIC_3882(i1236)), i1235, 0, i1238, i1238) | =(matching1, 0)
3882_0_search_FieldAccess(EOS(STATIC_3882(i1236)), i1235, matching1, i1238, i1238) → 3884_0_search_GE(EOS(STATIC_3884(i1236)), i1235, 0, i1238, i1238, i1236) | =(matching1, 0)
3884_0_search_GE(EOS(STATIC_3884(i1236)), i1235, matching1, i1238, i1238, i1236) → 3886_0_search_GE(EOS(STATIC_3886(i1236)), i1235, 0, i1238, i1238, i1236) | =(matching1, 0)
3886_0_search_GE(EOS(STATIC_3886(i1236)), i1235, matching1, i1238, i1238, i1236) → 3888_0_search_Load(EOS(STATIC_3888(i1236)), i1235, 0, i1238) | &&(<(i1238, i1236), =(matching1, 0))
3888_0_search_Load(EOS(STATIC_3888(i1236)), i1235, matching1, i1238) → 3891_0_search_Load(EOS(STATIC_3891(i1236)), i1235, 0, i1238, i1235) | =(matching1, 0)
3891_0_search_Load(EOS(STATIC_3891(i1236)), i1235, matching1, i1238, i1235) → 3894_0_search_InvokeMethod(EOS(STATIC_3894(i1236)), i1235, 0, i1238, i1235, i1238) | =(matching1, 0)
3894_0_search_InvokeMethod(EOS(STATIC_3894(i1236)), i1235, matching1, i1238, i1235, i1238) → 3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(i1236)), i1235, i1238), i1235, 0, i1238, i1235, i1238) | =(matching1, 0)
3896_1_search_InvokeMethod(3356_0_safeMove_Return(EOS(STATIC_3356(i1259)), i870), i1256, matching1, i1257, i1256, i1257) → 3907_0_safeMove_Return(EOS(STATIC_3907(i1259)), i1256, 0, i1257, i1256, i1257, i870) | =(matching1, 0)
3907_0_safeMove_Return(EOS(STATIC_3907(i1259)), i1256, matching1, i1257, i1256, i1257, i870) → 3909_0_search_EQ(EOS(STATIC_3909(i1259)), i1256, 0, i1257, i870) | =(matching1, 0)
3909_0_search_EQ(EOS(STATIC_3909(i1259)), i1256, matching1, i1257, i1270) → 3912_0_search_EQ(EOS(STATIC_3912(i1259)), i1256, 0, i1257, i1270) | =(matching1, 0)
3909_0_search_EQ(EOS(STATIC_3909(i1259)), i1256, matching1, i1257, matching2) → 3913_0_search_EQ(EOS(STATIC_3913(i1259)), i1256, 0, i1257, 0) | &&(=(matching1, 0), =(matching2, 0))
3912_0_search_EQ(EOS(STATIC_3912(i1259)), i1256, matching1, i1257, i1270) → 3915_0_search_FieldAccess(EOS(STATIC_3915(i1259)), i1256, i1257) | &&(>(i1270, 0), =(matching1, 0))
3915_0_search_FieldAccess(EOS(STATIC_3915(i1259)), i1256, i1257) → 3919_0_search_Load(EOS(STATIC_3919(i1259)), i1256, i1257, java.lang.Object(ARRAY(i1259)))
3928_0_search_Load(EOS(STATIC_3928(i1259)), i1256, i1257, java.lang.Object(ARRAY(i1259)), i1256) → 3934_0_search_ArrayAccess(EOS(STATIC_3934(i1259)), i1256, i1257, java.lang.Object(ARRAY(i1259)), i1256, i1257)
3934_0_search_ArrayAccess(EOS(STATIC_3934(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3938_0_search_ArrayAccess(EOS(STATIC_3938(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3938_0_search_ArrayAccess(EOS(STATIC_3938(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3941_0_search_ArrayAccess(EOS(STATIC_3941(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3941_0_search_ArrayAccess(EOS(STATIC_3941(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3943_0_search_Load(EOS(STATIC_3943(i1259)), i1293, i1257) | <(i1293, i1259)
3943_0_search_Load(EOS(STATIC_3943(i1259)), i1293, i1257) → 3947_0_search_ConstantStackPush(EOS(STATIC_3947(i1259)), i1293, i1257, i1293)
3947_0_search_ConstantStackPush(EOS(STATIC_3947(i1259)), i1293, i1257, i1293) → 3950_0_search_IntArithmetic(EOS(STATIC_3950(i1259)), i1293, i1257, i1293, 1)
3950_0_search_IntArithmetic(EOS(STATIC_3950(i1259)), i1293, i1257, i1293, matching1) → 3953_0_search_InvokeMethod(EOS(STATIC_3953(i1259)), i1293, i1257, +(i1293, 1)) | &&(>=(i1293, 0), =(matching1, 1))
3953_0_search_InvokeMethod(EOS(STATIC_3953(i1259)), i1293, i1257, i1294) → 3956_1_search_InvokeMethod(3956_0_search_ConstantStackPush(EOS(STATIC_3956(i1259)), i1294), i1293, i1257, i1294)
3956_0_search_ConstantStackPush(EOS(STATIC_3956(i1259)), i1294) → 3959_0_search_ConstantStackPush(EOS(STATIC_3959(i1259)), i1294)
3956_1_search_InvokeMethod(3890_0_search_Return(EOS(STATIC_3890(i1303)), matching1), i1293, i1257, i1302) → 3973_0_search_Return(EOS(STATIC_3973(i1303)), i1293, i1257, i1302, 0) | =(matching1, 0)
3959_0_search_ConstantStackPush(EOS(STATIC_3959(i1259)), i1294) → 3266_0_search_ConstantStackPush(EOS(STATIC_3266(i1259)), i1294)
3266_0_search_ConstantStackPush(EOS(STATIC_3266(i867)), i866) → 3269_0_search_Store(EOS(STATIC_3269(i867)), i866, 0)
3973_0_search_Return(EOS(STATIC_3973(i1303)), i1293, i1257, i1302, matching1) → 3978_0_search_Store(EOS(STATIC_3978(i1303)), i1293, i1257, 0) | =(matching1, 0)
3978_0_search_Store(EOS(STATIC_3978(i1303)), i1293, i1257, matching1) → 3986_0_search_Inc(EOS(STATIC_3986(i1303)), i1293, 0, i1257) | =(matching1, 0)
3986_0_search_Inc(EOS(STATIC_3986(i1303)), i1293, matching1, i1257) → 3990_0_search_JMP(EOS(STATIC_3990(i1303)), i1293, 0, +(i1257, 1)) | =(matching1, 0)
3990_0_search_JMP(EOS(STATIC_3990(i1303)), i1293, matching1, i1315) → 3997_0_search_Load(EOS(STATIC_3997(i1303)), i1293, 0, i1315) | =(matching1, 0)
3997_0_search_Load(EOS(STATIC_3997(i1303)), i1293, matching1, i1315) → 3873_0_search_Load(EOS(STATIC_3873(i1303)), i1293, 0, i1315) | =(matching1, 0)
3913_0_search_EQ(EOS(STATIC_3913(i1259)), i1256, matching1, i1257, matching2) → 3917_0_search_Inc(EOS(STATIC_3917(i1259)), i1256, 0, i1257) | &&(=(matching1, 0), =(matching2, 0))
3917_0_search_Inc(EOS(STATIC_3917(i1259)), i1256, matching1, i1257) → 3921_0_search_JMP(EOS(STATIC_3921(i1259)), i1256, 0, +(i1257, 1)) | =(matching1, 0)
3921_0_search_JMP(EOS(STATIC_3921(i1259)), i1256, matching1, i1272) → 3930_0_search_Load(EOS(STATIC_3930(i1259)), i1256, 0, i1272) | =(matching1, 0)
3930_0_search_Load(EOS(STATIC_3930(i1259)), i1256, matching1, i1272) → 3873_0_search_Load(EOS(STATIC_3873(i1259)), i1256, 0, i1272) | =(matching1, 0)
R rules:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(i1236)), i1235, i1238) → 3900_0_safeMove_ConstantStackPush(EOS(STATIC_3900(i1236)), i1235, i1238)
3900_0_safeMove_ConstantStackPush(EOS(STATIC_3900(i1236)), i1235, i1238) → 2715_0_safeMove_ConstantStackPush(EOS(STATIC_2715(i1236)), i1235, i1238)
3308_0_displayChessboard_ConstantStackPush(EOS(STATIC_3308(i867))) → 2113_0_displayChessboard_ConstantStackPush(EOS(STATIC_2113(i867)))
2715_0_safeMove_ConstantStackPush(EOS(STATIC_2715(i709)), i707, i708) → 2722_0_safeMove_Store(EOS(STATIC_2722(i709)), i707, i708, 1)
2722_0_safeMove_Store(EOS(STATIC_2722(i709)), i707, i708, matching1) → 2731_0_safeMove_ConstantStackPush(EOS(STATIC_2731(i709)), i707, i708, 1) | =(matching1, 1)
2731_0_safeMove_ConstantStackPush(EOS(STATIC_2731(i709)), i707, i708, matching1) → 2739_0_safeMove_Store(EOS(STATIC_2739(i709)), i707, i708, 1, 0) | =(matching1, 1)
2739_0_safeMove_Store(EOS(STATIC_2739(i709)), i707, i708, matching1, matching2) → 2746_0_safeMove_Load(EOS(STATIC_2746(i709)), i707, i708, 1, 0) | &&(=(matching1, 1), =(matching2, 0))
2746_0_safeMove_Load(EOS(STATIC_2746(i709)), i707, i708, matching1, matching2) → 3037_0_safeMove_Load(EOS(STATIC_3037(i709)), i707, i708, 1, 0) | &&(=(matching1, 1), =(matching2, 0))
3320_0_safeMove_Load(EOS(STATIC_3320(i790)), i788, i789, i870, i871) → 3326_0_safeMove_Load(EOS(STATIC_3326(i790)), i788, i789, i870, i871, i871)
3326_0_safeMove_Load(EOS(STATIC_3326(i790)), i788, i789, i870, i871, i871) → 3332_0_safeMove_GE(EOS(STATIC_3332(i790)), i788, i789, i870, i871, i871, i788)
3332_0_safeMove_GE(EOS(STATIC_3332(i790)), i788, i789, i870, i871, i871, i788) → 3340_0_safeMove_GE(EOS(STATIC_3340(i790)), i788, i789, i870, i871, i871, i788)
3332_0_safeMove_GE(EOS(STATIC_3332(i790)), i788, i789, i870, i871, i871, i788) → 3341_0_safeMove_GE(EOS(STATIC_3341(i790)), i788, i789, i870, i871, i871, i788)
3340_0_safeMove_GE(EOS(STATIC_3340(i790)), i788, i789, i870, i871, i871, i788) → 3348_0_safeMove_Load(EOS(STATIC_3348(i790)), i870) | >=(i871, i788)
3341_0_safeMove_GE(EOS(STATIC_3341(i790)), i788, i789, i870, i871, i871, i788) → 3349_0_safeMove_Load(EOS(STATIC_3349(i790)), i788, i789, i870, i871) | <(i871, i788)
3349_0_safeMove_Load(EOS(STATIC_3349(i790)), i788, i789, i870, i871) → 3357_0_safeMove_EQ(EOS(STATIC_3357(i790)), i788, i789, i871, i870)
3357_0_safeMove_EQ(EOS(STATIC_3357(i790)), i788, i789, i871, i885) → 3365_0_safeMove_EQ(EOS(STATIC_3365(i790)), i788, i789, i871, i885)
3357_0_safeMove_EQ(EOS(STATIC_3357(i790)), i788, i789, i871, matching1) → 3366_0_safeMove_EQ(EOS(STATIC_3366(i790)), i788, i789, i871, 0) | =(matching1, 0)
3365_0_safeMove_EQ(EOS(STATIC_3365(i790)), i788, i789, i871, i885) → 3373_0_safeMove_Load(EOS(STATIC_3373(i790)), i788, i789, i871) | >(i885, 0)
3366_0_safeMove_EQ(EOS(STATIC_3366(i790)), i788, i789, i871, matching1) → 3374_0_safeMove_ConstantStackPush(EOS(STATIC_3374(i790)), i788, i789, i871) | =(matching1, 0)
3374_0_safeMove_ConstantStackPush(EOS(STATIC_3374(i790)), i788, i789, i871) → 3553_0_safeMove_ConstantStackPush(EOS(STATIC_3553(i790)), i788, i789, i871)
3382_0_safeMove_Load(EOS(STATIC_3382(i790)), i788, i789, i871, i788) → 3390_0_safeMove_Load(EOS(STATIC_3390(i790)), i788, i789, i871, i788, i789)
3390_0_safeMove_Load(EOS(STATIC_3390(i790)), i788, i789, i871, i788, i789) → 3396_0_safeMove_FieldAccess(EOS(STATIC_3396(i790)), i788, i789, i871, i788, i789, i871)
3396_0_safeMove_FieldAccess(EOS(STATIC_3396(i790)), i788, i789, i871, i788, i789, i871) → 3404_0_safeMove_Load(EOS(STATIC_3404(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)))
3404_0_safeMove_Load(EOS(STATIC_3404(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790))) → 3411_0_safeMove_ArrayAccess(EOS(STATIC_3411(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3411_0_safeMove_ArrayAccess(EOS(STATIC_3411(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3416_0_safeMove_ArrayAccess(EOS(STATIC_3416(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3411_0_safeMove_ArrayAccess(EOS(STATIC_3411(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3417_0_safeMove_ArrayAccess(EOS(STATIC_3417(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3416_0_safeMove_ArrayAccess(EOS(STATIC_3416(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3422_0_safeMove_InvokeMethod(EOS(STATIC_3422(i790)), i788, i789, i871, i788, i789, i871) | <(i871, i790)
3417_0_safeMove_ArrayAccess(EOS(STATIC_3417(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3423_0_<init>_Load(EOS(STATIC_3423(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) | >=(i871, i790)
3422_0_safeMove_InvokeMethod(EOS(STATIC_3422(i790)), i788, i789, i871, i788, i789, i871) → 3429_1_safeMove_InvokeMethod(3429_0_wrongPos_Load(EOS(STATIC_3429(i790)), i788, i789, i871), i788, i789, i871, i788, i789, i871)
3423_0_<init>_Load(EOS(STATIC_3423(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3435_0_<init>_InvokeMethod(EOS(STATIC_3435(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626(i1026)), matching1), i1021, i1022, i1023, i1021, i1022, i1023) → 3645_0_wrongPos_Return(EOS(STATIC_3645(i1026)), i1021, i1022, i1023, i1021, i1022, i1023, 0) | =(matching1, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(i1051)), matching1), i1046, i1047, i1048, i1046, i1047, i1048) → 3656_0_wrongPos_Return(EOS(STATIC_3656(i1051)), i1046, i1047, i1048, i1046, i1047, i1048, 1) | =(matching1, 1)
3435_0_<init>_InvokeMethod(EOS(STATIC_3435(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3444_0_<init>_Load(EOS(STATIC_3444(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3444_0_<init>_Load(EOS(STATIC_3444(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3455_0_<init>_InvokeMethod(EOS(STATIC_3455(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3455_0_<init>_InvokeMethod(EOS(STATIC_3455(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3460_0_<init>_Load(EOS(STATIC_3460(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3460_0_<init>_Load(EOS(STATIC_3460(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3470_0_<init>_InvokeMethod(EOS(STATIC_3470(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3470_0_<init>_InvokeMethod(EOS(STATIC_3470(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3477_0_<init>_Load(EOS(STATIC_3477(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3477_0_<init>_Load(EOS(STATIC_3477(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3490_0_<init>_InvokeMethod(EOS(STATIC_3490(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3490_0_<init>_InvokeMethod(EOS(STATIC_3490(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3500_0_<init>_Load(EOS(STATIC_3500(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3500_0_<init>_Load(EOS(STATIC_3500(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3514_0_<init>_InvokeMethod(EOS(STATIC_3514(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3514_0_<init>_InvokeMethod(EOS(STATIC_3514(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3522_0_<init>_Load(EOS(STATIC_3522(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3522_0_<init>_Load(EOS(STATIC_3522(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3530_0_<init>_Load(EOS(STATIC_3530(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3530_0_<init>_Load(EOS(STATIC_3530(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3539_0_<init>_FieldAccess(EOS(STATIC_3539(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3536_0_wrongPos_Return(EOS(STATIC_3536(i970)), i968, i969, i972, i968, i969, i972, matching1) → 3646_0_wrongPos_Return(EOS(STATIC_3646(i970)), i968, i969, i972, i968, i969, i972, 1) | =(matching1, 1)
3539_0_<init>_FieldAccess(EOS(STATIC_3539(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3548_0_<init>_Load(EOS(STATIC_3548(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3548_0_<init>_Load(EOS(STATIC_3548(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3557_0_<init>_InvokeMethod(EOS(STATIC_3557(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3553_0_safeMove_ConstantStackPush(EOS(STATIC_3553(i970)), i968, i969, i972) → 3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666(i970)), i968, i969, i972)
3557_0_<init>_InvokeMethod(EOS(STATIC_3557(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3567_0_<init>_StackPop(EOS(STATIC_3567(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3567_0_<init>_StackPop(EOS(STATIC_3567(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3578_0_<init>_Return(EOS(STATIC_3578(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3578_0_<init>_Return(EOS(STATIC_3578(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3585_0_<init>_Return(EOS(STATIC_3585(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3585_0_<init>_Return(EOS(STATIC_3585(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3592_0_<init>_Return(EOS(STATIC_3592(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3592_0_<init>_Return(EOS(STATIC_3592(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3598_0_<init>_Return(EOS(STATIC_3598(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3598_0_<init>_Return(EOS(STATIC_3598(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3604_0_<init>_Return(EOS(STATIC_3604(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3604_0_<init>_Return(EOS(STATIC_3604(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871) → 3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(i790)), i788, i789, i871, i788, i789, i871, java.lang.Object(ARRAY(i790)), i871)
3645_0_wrongPos_Return(EOS(STATIC_3645(i1026)), i1021, i1022, i1023, i1021, i1022, i1023, matching1) → 3646_0_wrongPos_Return(EOS(STATIC_3646(i1026)), i1021, i1022, i1023, i1021, i1022, i1023, 0) | =(matching1, 0)
3646_0_wrongPos_Return(EOS(STATIC_3646(i1030)), i1028, i1029, i1033, i1028, i1029, i1033, i1032) → 3654_0_safeMove_NE(EOS(STATIC_3654(i1030)), i1028, i1029, i1033, i1032)
3654_0_safeMove_NE(EOS(STATIC_3654(i1030)), i1028, i1029, i1033, matching1) → 3660_0_safeMove_NE(EOS(STATIC_3660(i1030)), i1028, i1029, i1033, 1) | =(matching1, 1)
3654_0_safeMove_NE(EOS(STATIC_3654(i1030)), i1028, i1029, i1033, matching1) → 3661_0_safeMove_NE(EOS(STATIC_3661(i1030)), i1028, i1029, i1033, 0) | =(matching1, 0)
3656_0_wrongPos_Return(EOS(STATIC_3656(i1051)), i1046, i1047, i1048, i1046, i1047, i1048, matching1) → 3646_0_wrongPos_Return(EOS(STATIC_3646(i1051)), i1046, i1047, i1048, i1046, i1047, i1048, 1) | =(matching1, 1)
3660_0_safeMove_NE(EOS(STATIC_3660(i1030)), i1028, i1029, i1033, matching1) → 3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666(i1030)), i1028, i1029, i1033) | &&(>(1, 0), =(matching1, 1))
3661_0_safeMove_NE(EOS(STATIC_3661(i1030)), i1028, i1029, i1033, matching1) → 3668_0_safeMove_ConstantStackPush(EOS(STATIC_3668(i1030)), i1028, i1029, i1033) | =(matching1, 0)
3666_0_safeMove_ConstantStackPush(EOS(STATIC_3666(i1030)), i1028, i1029, i1033) → 3673_0_safeMove_Store(EOS(STATIC_3673(i1030)), i1028, i1029, i1033, 0)
3668_0_safeMove_ConstantStackPush(EOS(STATIC_3668(i1030)), i1028, i1029, i1033) → 3674_0_safeMove_JMP(EOS(STATIC_3674(i1030)), i1028, i1029, i1033, 1)
3673_0_safeMove_Store(EOS(STATIC_3673(i1030)), i1028, i1029, i1033, matching1) → 3680_0_safeMove_Inc(EOS(STATIC_3680(i1030)), i1028, i1029, 0, i1033) | =(matching1, 0)
3674_0_safeMove_JMP(EOS(STATIC_3674(i1030)), i1028, i1029, i1033, matching1) → 3682_0_safeMove_Store(EOS(STATIC_3682(i1030)), i1028, i1029, i1033, 1) | =(matching1, 1)
3680_0_safeMove_Inc(EOS(STATIC_3680(i1030)), i1028, i1029, matching1, i1033) → 3687_0_safeMove_JMP(EOS(STATIC_3687(i1030)), i1028, i1029, 0, +(i1033, 1)) | &&(>=(i1033, 0), =(matching1, 0))
3682_0_safeMove_Store(EOS(STATIC_3682(i1030)), i1028, i1029, i1033, matching1) → 3689_0_safeMove_Inc(EOS(STATIC_3689(i1030)), i1028, i1029, 1, i1033) | =(matching1, 1)
3687_0_safeMove_JMP(EOS(STATIC_3687(i1030)), i1028, i1029, matching1, i1087) → 3701_0_safeMove_Load(EOS(STATIC_3701(i1030)), i1028, i1029, 0, i1087) | =(matching1, 0)
3689_0_safeMove_Inc(EOS(STATIC_3689(i1030)), i1028, i1029, matching1, i1033) → 3702_0_safeMove_JMP(EOS(STATIC_3702(i1030)), i1028, i1029, 1, +(i1033, 1)) | &&(>=(i1033, 0), =(matching1, 1))
3701_0_safeMove_Load(EOS(STATIC_3701(i1030)), i1028, i1029, matching1, i1087) → 3320_0_safeMove_Load(EOS(STATIC_3320(i1030)), i1028, i1029, 0, i1087) | =(matching1, 0)
3702_0_safeMove_JMP(EOS(STATIC_3702(i1030)), i1028, i1029, matching1, i1107) → 3707_0_safeMove_Load(EOS(STATIC_3707(i1030)), i1028, i1029, 1, i1107) | =(matching1, 1)
3707_0_safeMove_Load(EOS(STATIC_3707(i1030)), i1028, i1029, matching1, i1107) → 3320_0_safeMove_Load(EOS(STATIC_3320(i1030)), i1028, i1029, 1, i1107) | =(matching1, 1)
3283_0_search_LT(EOS(STATIC_3283(i867)), i866, matching1, i866, i867) → 3291_0_search_LT(EOS(STATIC_3291(i867)), i866, 0, i866, i867) | =(matching1, 0)
3291_0_search_LT(EOS(STATIC_3291(i867)), i866, matching1, i866, i867) → 3297_0_search_InvokeMethod(EOS(STATIC_3297(i867)), 0) | &&(>=(i866, i867), =(matching1, 0))
3297_0_search_InvokeMethod(EOS(STATIC_3297(i867)), matching1) → 3302_1_search_InvokeMethod(3302_0_displayChessboard_ConstantStackPush(EOS(STATIC_3302(i867))), 0) | =(matching1, 0)
3302_0_displayChessboard_ConstantStackPush(EOS(STATIC_3302(i867))) → 3308_0_displayChessboard_ConstantStackPush(EOS(STATIC_3308(i867)))
3302_1_search_InvokeMethod(2658_0_displayChessboard_Return(EOS(STATIC_2658(i877))), matching1) → 3330_0_displayChessboard_Return(EOS(STATIC_3330(i877)), 0) | =(matching1, 0)
3302_1_search_InvokeMethod(3399_0_displayChessboard_ArrayAccess(EOS(STATIC_3399(i906)), i662, i825, java.lang.Object(ARRAY(i906)), i662), matching1) → 3418_0_displayChessboard_ArrayAccess(EOS(STATIC_3418(i906)), 0, i662, i825, java.lang.Object(ARRAY(i906)), i662) | =(matching1, 0)
3330_0_displayChessboard_Return(EOS(STATIC_3330(i877)), matching1) → 3339_0_search_FieldAccess(EOS(STATIC_3339(i877)), 0) | =(matching1, 0)
3339_0_search_FieldAccess(EOS(STATIC_3339(i877)), matching1) → 3346_0_search_ConstantStackPush(EOS(STATIC_3346(i877)), 0) | =(matching1, 0)
3346_0_search_ConstantStackPush(EOS(STATIC_3346(i877)), matching1) → 3355_0_search_IntArithmetic(EOS(STATIC_3355(i877)), 0) | =(matching1, 0)
3355_0_search_IntArithmetic(EOS(STATIC_3355(i877)), matching1) → 3363_0_search_FieldAccess(EOS(STATIC_3363(i877)), 0) | =(matching1, 0)
3363_0_search_FieldAccess(EOS(STATIC_3363(i877)), matching1) → 3372_0_search_JMP(EOS(STATIC_3372(i877)), 0) | =(matching1, 0)
3372_0_search_JMP(EOS(STATIC_3372(i877)), matching1) → 3380_0_search_Load(EOS(STATIC_3380(i877)), 0) | =(matching1, 0)
3418_0_displayChessboard_ArrayAccess(EOS(STATIC_3418(i906)), matching1, i662, i825, java.lang.Object(ARRAY(i906)), i662) → 3425_0_search_InvokeMethod(EOS(STATIC_3425(i906)), 0) | =(matching1, 0)
3884_0_search_GE(EOS(STATIC_3884(i1236)), i1235, matching1, i1238, i1238, i1236) → 3885_0_search_GE(EOS(STATIC_3885(i1236)), i1235, 0, i1238, i1238, i1236) | =(matching1, 0)
3885_0_search_GE(EOS(STATIC_3885(i1236)), i1235, matching1, i1238, i1238, i1236) → 3887_0_search_Load(EOS(STATIC_3887(i1236)), 0) | &&(>=(i1238, i1236), =(matching1, 0))
3887_0_search_Load(EOS(STATIC_3887(i1236)), matching1) → 3890_0_search_Return(EOS(STATIC_3890(i1236)), 0) | =(matching1, 0)
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(i1264)), i1261, i1262, i871, i1261, i1262, i871, java.lang.Object(ARRAY(i1264)), i871), i1261, matching1, i1262, i1261, i1262) → 3908_0_safeMove_ArrayAccess(EOS(STATIC_3908(i1264)), i1261, 0, i1262, i1261, i1262, i1261, i1262, i871, i1261, i1262, i871, java.lang.Object(ARRAY(i1264)), i871) | =(matching1, 0)
3908_0_safeMove_ArrayAccess(EOS(STATIC_3908(i1264)), i1261, matching1, i1262, i1261, i1262, i1261, i1262, i871, i1261, i1262, i871, java.lang.Object(ARRAY(i1264)), i871) → 3911_0_search_InvokeMethod(EOS(STATIC_3911(i1264)), i1261, 0, i1262, i1261, i1262) | =(matching1, 0)
3934_0_search_ArrayAccess(EOS(STATIC_3934(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3937_0_search_ArrayAccess(EOS(STATIC_3937(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3937_0_search_ArrayAccess(EOS(STATIC_3937(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3939_0_<init>_Load(EOS(STATIC_3939(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) | <=(i1292, -1)
3938_0_search_ArrayAccess(EOS(STATIC_3938(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3942_0_search_ArrayAccess(EOS(STATIC_3942(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3939_0_<init>_Load(EOS(STATIC_3939(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3946_0_<init>_InvokeMethod(EOS(STATIC_3946(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3942_0_search_ArrayAccess(EOS(STATIC_3942(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3945_0_<init>_Load(EOS(STATIC_3945(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) | >=(i1293, i1259)
3945_0_<init>_Load(EOS(STATIC_3945(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3951_0_<init>_InvokeMethod(EOS(STATIC_3951(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3946_0_<init>_InvokeMethod(EOS(STATIC_3946(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3949_0_<init>_Load(EOS(STATIC_3949(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3949_0_<init>_Load(EOS(STATIC_3949(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3955_0_<init>_InvokeMethod(EOS(STATIC_3955(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3951_0_<init>_InvokeMethod(EOS(STATIC_3951(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3954_0_<init>_Load(EOS(STATIC_3954(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3954_0_<init>_Load(EOS(STATIC_3954(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3960_0_<init>_InvokeMethod(EOS(STATIC_3960(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3955_0_<init>_InvokeMethod(EOS(STATIC_3955(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3958_0_<init>_Load(EOS(STATIC_3958(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3425(i1300)), matching1), i1293, i1257, i1298) → 3971_0_search_InvokeMethod(EOS(STATIC_3971(i1300)), i1293, i1257, i1298, 0) | =(matching1, 0)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3911(i1307)), i1304, matching1, i1262, i1304, i1262), i1293, i1257, i1304) → 3974_0_search_InvokeMethod(EOS(STATIC_3974(i1307)), i1293, i1257, i1304, i1304, 0, i1262, i1304, i1262) | =(matching1, 0)
3956_1_search_InvokeMethod(3981_0_search_InvokeMethod(EOS(STATIC_3981(i1320)), i1319, i1318, i1304), i1293, i1257, i1319) → 4002_0_search_InvokeMethod(EOS(STATIC_4002(i1320)), i1293, i1257, i1319, i1319, i1318, i1304)
3956_1_search_InvokeMethod(4010_0_search_InvokeMethod(EOS(STATIC_4010(i1343)), i1342, i1341, i1319), i1293, i1257, i1342) → 4028_0_search_InvokeMethod(EOS(STATIC_4028(i1343)), i1293, i1257, i1342, i1342, i1341, i1319)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_4064(i1364)), i1363, i1360, java.lang.Object(ARRAY(i1364)), i1363, i1360), i1293, i1257, i1363) → 4075_0_search_ArrayAccess(EOS(STATIC_4075(i1364)), i1293, i1257, i1363, i1363, i1360, java.lang.Object(ARRAY(i1364)), i1363, i1360)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_4081(i1380)), i1379, i1378, i1363), i1293, i1257, i1379) → 4092_0_search_InvokeMethod(EOS(STATIC_4092(i1380)), i1293, i1257, i1379, i1379, i1378, i1363)
3958_0_<init>_Load(EOS(STATIC_3958(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3963_0_<init>_InvokeMethod(EOS(STATIC_3963(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3960_0_<init>_InvokeMethod(EOS(STATIC_3960(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3962_0_<init>_Load(EOS(STATIC_3962(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3962_0_<init>_Load(EOS(STATIC_3962(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3975_0_<init>_InvokeMethod(EOS(STATIC_3975(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3963_0_<init>_InvokeMethod(EOS(STATIC_3963(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3970_0_<init>_Load(EOS(STATIC_3970(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3970_0_<init>_Load(EOS(STATIC_3970(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3984_0_<init>_InvokeMethod(EOS(STATIC_3984(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3971_0_search_InvokeMethod(EOS(STATIC_3971(i1300)), i1293, i1257, i1298, matching1) → 3977_0_search_InvokeMethod(EOS(STATIC_3977(i1300)), i1293, i1257, i1298) | =(matching1, 0)
3974_0_search_InvokeMethod(EOS(STATIC_3974(i1307)), i1293, i1257, i1304, i1304, matching1, i1262, i1304, i1262) → 3981_0_search_InvokeMethod(EOS(STATIC_3981(i1307)), i1293, i1257, i1304) | =(matching1, 0)
3975_0_<init>_InvokeMethod(EOS(STATIC_3975(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3983_0_<init>_Load(EOS(STATIC_3983(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3977_0_search_InvokeMethod(EOS(STATIC_3977(i1300)), i1293, i1257, i1298) → 3981_0_search_InvokeMethod(EOS(STATIC_3981(i1300)), i1293, i1257, i1298)
3981_0_search_InvokeMethod(EOS(STATIC_3981(i1307)), i1293, i1257, i1304) → 4010_0_search_InvokeMethod(EOS(STATIC_4010(i1307)), i1293, i1257, i1304)
3983_0_<init>_Load(EOS(STATIC_3983(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 3995_0_<init>_InvokeMethod(EOS(STATIC_3995(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
3984_0_<init>_InvokeMethod(EOS(STATIC_3984(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 3988_0_<init>_Load(EOS(STATIC_3988(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3988_0_<init>_Load(EOS(STATIC_3988(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4004_0_<init>_InvokeMethod(EOS(STATIC_4004(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
3995_0_<init>_InvokeMethod(EOS(STATIC_3995(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4003_0_<init>_Load(EOS(STATIC_4003(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4002_0_search_InvokeMethod(EOS(STATIC_4002(i1320)), i1293, i1257, i1319, i1319, i1318, i1304) → 4010_0_search_InvokeMethod(EOS(STATIC_4010(i1320)), i1293, i1257, i1319)
4003_0_<init>_Load(EOS(STATIC_4003(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4016_0_<init>_InvokeMethod(EOS(STATIC_4016(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4004_0_<init>_InvokeMethod(EOS(STATIC_4004(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4012_0_<init>_Load(EOS(STATIC_4012(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4010_0_search_InvokeMethod(EOS(STATIC_4010(i1320)), i1293, i1257, i1319) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(i1320)), i1293, i1257, i1319)
4012_0_<init>_Load(EOS(STATIC_4012(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4017_0_<init>_Load(EOS(STATIC_4017(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4016_0_<init>_InvokeMethod(EOS(STATIC_4016(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4023_0_<init>_Load(EOS(STATIC_4023(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4017_0_<init>_Load(EOS(STATIC_4017(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4024_0_<init>_FieldAccess(EOS(STATIC_4024(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4023_0_<init>_Load(EOS(STATIC_4023(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4030_0_<init>_Load(EOS(STATIC_4030(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4024_0_<init>_FieldAccess(EOS(STATIC_4024(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4033_0_<init>_Load(EOS(STATIC_4033(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4028_0_search_InvokeMethod(EOS(STATIC_4028(i1343)), i1293, i1257, i1342, i1342, i1341, i1319) → 4002_0_search_InvokeMethod(EOS(STATIC_4002(i1343)), i1293, i1257, i1342, i1342, i1341, i1319)
4030_0_<init>_Load(EOS(STATIC_4030(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4034_0_<init>_FieldAccess(EOS(STATIC_4034(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4033_0_<init>_Load(EOS(STATIC_4033(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4036_0_<init>_InvokeMethod(EOS(STATIC_4036(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4034_0_<init>_FieldAccess(EOS(STATIC_4034(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4041_0_<init>_Load(EOS(STATIC_4041(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4036_0_<init>_InvokeMethod(EOS(STATIC_4036(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4042_0_<init>_StackPop(EOS(STATIC_4042(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4041_0_<init>_Load(EOS(STATIC_4041(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4044_0_<init>_InvokeMethod(EOS(STATIC_4044(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4042_0_<init>_StackPop(EOS(STATIC_4042(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4045_0_<init>_Return(EOS(STATIC_4045(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4044_0_<init>_InvokeMethod(EOS(STATIC_4044(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4047_0_<init>_StackPop(EOS(STATIC_4047(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4045_0_<init>_Return(EOS(STATIC_4045(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4048_0_<init>_Return(EOS(STATIC_4048(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4047_0_<init>_StackPop(EOS(STATIC_4047(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4050_0_<init>_Return(EOS(STATIC_4050(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4048_0_<init>_Return(EOS(STATIC_4048(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4051_0_<init>_Return(EOS(STATIC_4051(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4050_0_<init>_Return(EOS(STATIC_4050(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4053_0_<init>_Return(EOS(STATIC_4053(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4051_0_<init>_Return(EOS(STATIC_4051(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4054_0_<init>_Return(EOS(STATIC_4054(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4053_0_<init>_Return(EOS(STATIC_4053(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4055_0_<init>_Return(EOS(STATIC_4055(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4054_0_<init>_Return(EOS(STATIC_4054(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4057_0_<init>_Return(EOS(STATIC_4057(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4055_0_<init>_Return(EOS(STATIC_4055(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4058_0_<init>_Return(EOS(STATIC_4058(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4057_0_<init>_Return(EOS(STATIC_4057(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257) → 4060_0_search_ArrayAccess(EOS(STATIC_4060(i1259)), i1292, i1257, java.lang.Object(ARRAY(i1259)), i1292, i1257)
4058_0_<init>_Return(EOS(STATIC_4058(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4061_0_<init>_Return(EOS(STATIC_4061(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4061_0_<init>_Return(EOS(STATIC_4061(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257) → 4064_0_search_ArrayAccess(EOS(STATIC_4064(i1259)), i1293, i1257, java.lang.Object(ARRAY(i1259)), i1293, i1257)
4075_0_search_ArrayAccess(EOS(STATIC_4075(i1364)), i1293, i1257, i1363, i1363, i1360, java.lang.Object(ARRAY(i1364)), i1363, i1360) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(i1364)), i1293, i1257, i1363)
4092_0_search_InvokeMethod(EOS(STATIC_4092(i1380)), i1293, i1257, i1379, i1379, i1378, i1363) → 4002_0_search_InvokeMethod(EOS(STATIC_4002(i1380)), i1293, i1257, i1379, i1379, i1378, i1363)
3449_0_wrongPos_Load(EOS(STATIC_3449(i930)), i926, i927, i928, i929) → 3453_0_wrongPos_Load(EOS(STATIC_3453(i930)), i926, i927, i928, i929, i926)
3453_0_wrongPos_Load(EOS(STATIC_3453(i930)), i926, i927, i928, i929, i926) → 3459_0_wrongPos_EQ(EOS(STATIC_3459(i930)), i926, i927, i928, i929, i926, i928)
3459_0_wrongPos_EQ(EOS(STATIC_3459(i930)), i928, i927, i928, i929, i928, i928) → 3462_0_wrongPos_EQ(EOS(STATIC_3462(i930)), i928, i927, i928, i929, i928, i928)
3459_0_wrongPos_EQ(EOS(STATIC_3459(i930)), i926, i927, i928, i929, i926, i928) → 3463_0_wrongPos_EQ(EOS(STATIC_3463(i930)), i926, i927, i928, i929, i926, i928)
3462_0_wrongPos_EQ(EOS(STATIC_3462(i930)), i928, i927, i928, i929, i928, i928) → 3467_0_wrongPos_ConstantStackPush(EOS(STATIC_3467(i930)))
3463_0_wrongPos_EQ(EOS(STATIC_3463(i930)), i926, i927, i928, i929, i926, i928) → 3469_0_wrongPos_Load(EOS(STATIC_3469(i930)), i926, i927, i928, i929) | !(=(i926, i928))
3467_0_wrongPos_ConstantStackPush(EOS(STATIC_3467(i930))) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564(i930)))
3469_0_wrongPos_Load(EOS(STATIC_3469(i930)), i926, i927, i928, i929) → 3475_0_wrongPos_Load(EOS(STATIC_3475(i930)), i926, i927, i928, i929, i927)
3475_0_wrongPos_Load(EOS(STATIC_3475(i930)), i926, i927, i928, i929, i927) → 3482_0_wrongPos_EQ(EOS(STATIC_3482(i930)), i926, i927, i928, i929, i927, i929)
3482_0_wrongPos_EQ(EOS(STATIC_3482(i930)), i926, i929, i928, i929, i929, i929) → 3488_0_wrongPos_EQ(EOS(STATIC_3488(i930)), i926, i929, i928, i929, i929, i929)
3482_0_wrongPos_EQ(EOS(STATIC_3482(i930)), i926, i927, i928, i929, i927, i929) → 3489_0_wrongPos_EQ(EOS(STATIC_3489(i930)), i926, i927, i928, i929, i927, i929)
3488_0_wrongPos_EQ(EOS(STATIC_3488(i930)), i926, i929, i928, i929, i929, i929) → 3498_0_wrongPos_ConstantStackPush(EOS(STATIC_3498(i930)))
3489_0_wrongPos_EQ(EOS(STATIC_3489(i930)), i926, i927, i928, i929, i927, i929) → 3499_0_wrongPos_Load(EOS(STATIC_3499(i930)), i926, i927, i928, i929) | !(=(i927, i929))
3498_0_wrongPos_ConstantStackPush(EOS(STATIC_3498(i930))) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564(i930)))
3499_0_wrongPos_Load(EOS(STATIC_3499(i930)), i926, i927, i928, i929) → 3508_0_wrongPos_Load(EOS(STATIC_3508(i930)), i926, i927, i928, i929, i926)
3508_0_wrongPos_Load(EOS(STATIC_3508(i930)), i926, i927, i928, i929, i926) → 3513_0_wrongPos_IntArithmetic(EOS(STATIC_3513(i930)), i926, i927, i928, i929, i926, i928)
3513_0_wrongPos_IntArithmetic(EOS(STATIC_3513(i930)), i926, i927, i928, i929, i926, i928) → 3521_0_wrongPos_Load(EOS(STATIC_3521(i930)), i926, i927, i928, i929, -(i926, i928))
3521_0_wrongPos_Load(EOS(STATIC_3521(i930)), i926, i927, i928, i929, i959) → 3528_0_wrongPos_Load(EOS(STATIC_3528(i930)), i926, i927, i928, i929, i959, i927)
3528_0_wrongPos_Load(EOS(STATIC_3528(i930)), i926, i927, i928, i929, i959, i927) → 3538_0_wrongPos_IntArithmetic(EOS(STATIC_3538(i930)), i926, i927, i928, i929, i959, i927, i929)
3538_0_wrongPos_IntArithmetic(EOS(STATIC_3538(i930)), i926, i927, i928, i929, i959, i927, i929) → 3545_0_wrongPos_EQ(EOS(STATIC_3545(i930)), i926, i927, i928, i929, i959, -(i927, i929))
3545_0_wrongPos_EQ(EOS(STATIC_3545(i930)), i926, i927, i928, i929, i975, i975) → 3555_0_wrongPos_EQ(EOS(STATIC_3555(i930)), i926, i927, i928, i929, i975, i975)
3545_0_wrongPos_EQ(EOS(STATIC_3545(i930)), i926, i927, i928, i929, i959, i975) → 3556_0_wrongPos_EQ(EOS(STATIC_3556(i930)), i926, i927, i928, i929, i959, i975)
3555_0_wrongPos_EQ(EOS(STATIC_3555(i930)), i926, i927, i928, i929, i975, i975) → 3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564(i930)))
3556_0_wrongPos_EQ(EOS(STATIC_3556(i930)), i926, i927, i928, i929, i959, i975) → 3565_0_wrongPos_Load(EOS(STATIC_3565(i930)), i926, i927, i928, i929) | !(=(i959, i975))
3564_0_wrongPos_ConstantStackPush(EOS(STATIC_3564(i930))) → 3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622(i930)))
3577_0_wrongPos_Load(EOS(STATIC_3577(i930)), i927, i928, i929, i926) → 3583_0_wrongPos_IntArithmetic(EOS(STATIC_3583(i930)), i927, i929, i926, i928)
3583_0_wrongPos_IntArithmetic(EOS(STATIC_3583(i930)), i927, i929, i926, i928) → 3591_0_wrongPos_Load(EOS(STATIC_3591(i930)), i927, i929, -(i926, i928))
3597_0_wrongPos_Load(EOS(STATIC_3597(i930)), i927, i1002, i929) → 3603_0_wrongPos_IntArithmetic(EOS(STATIC_3603(i930)), i1002, i929, i927)
3603_0_wrongPos_IntArithmetic(EOS(STATIC_3603(i930)), i1002, i929, i927) → 3608_0_wrongPos_NE(EOS(STATIC_3608(i930)), i1002, -(i929, i927))
3608_0_wrongPos_NE(EOS(STATIC_3608(i930)), i1002, i1016) → 3614_0_wrongPos_NE(EOS(STATIC_3614(i930)), i1002, i1016)
3608_0_wrongPos_NE(EOS(STATIC_3608(i930)), i1016, i1016) → 3615_0_wrongPos_NE(EOS(STATIC_3615(i930)), i1016, i1016)
3614_0_wrongPos_NE(EOS(STATIC_3614(i930)), i1002, i1016) → 3620_0_wrongPos_ConstantStackPush(EOS(STATIC_3620(i930))) | !(=(i1002, i1016))
3615_0_wrongPos_NE(EOS(STATIC_3615(i930)), i1016, i1016) → 3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622(i930)))
3620_0_wrongPos_ConstantStackPush(EOS(STATIC_3620(i930))) → 3626_0_wrongPos_Return(EOS(STATIC_3626(i930)), 0)
3622_0_wrongPos_ConstantStackPush(EOS(STATIC_3622(i930))) → 3627_0_wrongPos_JMP(EOS(STATIC_3627(i930)), 1)
3627_0_wrongPos_JMP(EOS(STATIC_3627(i930)), matching1) → 3634_0_wrongPos_Return(EOS(STATIC_3634(i930)), 1) | =(matching1, 1)
2113_0_displayChessboard_ConstantStackPush(EOS(STATIC_2113(i481))) → 2125_0_displayChessboard_Store(EOS(STATIC_2125(i481)), 0)
2125_0_displayChessboard_Store(EOS(STATIC_2125(i481)), matching1) → 2134_0_displayChessboard_Load(EOS(STATIC_2134(i481)), 0) | =(matching1, 0)
2621_0_displayChessboard_Load(EOS(STATIC_2621(i661)), i662) → 2629_0_displayChessboard_FieldAccess(EOS(STATIC_2629(i661)), i662, i662)
2629_0_displayChessboard_FieldAccess(EOS(STATIC_2629(i661)), i662, i662) → 2638_0_displayChessboard_GE(EOS(STATIC_2638(i661)), i662, i662, i661)
2638_0_displayChessboard_GE(EOS(STATIC_2638(i661)), i662, i662, i661) → 2647_0_displayChessboard_GE(EOS(STATIC_2647(i661)), i662, i662, i661)
2638_0_displayChessboard_GE(EOS(STATIC_2638(i661)), i662, i662, i661) → 2648_0_displayChessboard_GE(EOS(STATIC_2648(i661)), i662, i662, i661)
2647_0_displayChessboard_GE(EOS(STATIC_2647(i661)), i662, i662, i661) → 2658_0_displayChessboard_Return(EOS(STATIC_2658(i661))) | >=(i662, i661)
2648_0_displayChessboard_GE(EOS(STATIC_2648(i661)), i662, i662, i661) → 2659_0_displayChessboard_ConstantStackPush(EOS(STATIC_2659(i661)), i662) | <(i662, i661)
2659_0_displayChessboard_ConstantStackPush(EOS(STATIC_2659(i661)), i662) → 2671_0_displayChessboard_Store(EOS(STATIC_2671(i661)), i662, 0)
2671_0_displayChessboard_Store(EOS(STATIC_2671(i661)), i662, matching1) → 2688_0_displayChessboard_Load(EOS(STATIC_2688(i661)), i662, 0) | =(matching1, 0)
3141_0_displayChessboard_Load(EOS(STATIC_3141(i728)), i662, i825) → 3148_0_displayChessboard_FieldAccess(EOS(STATIC_3148(i728)), i662, i825, i825)
3148_0_displayChessboard_FieldAccess(EOS(STATIC_3148(i728)), i662, i825, i825) → 3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728)
3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728) → 3165_0_displayChessboard_GE(EOS(STATIC_3165(i728)), i662, i825, i825, i728)
3160_0_displayChessboard_GE(EOS(STATIC_3160(i728)), i662, i825, i825, i728) → 3166_0_displayChessboard_GE(EOS(STATIC_3166(i728)), i662, i825, i825, i728)
3165_0_displayChessboard_GE(EOS(STATIC_3165(i728)), i662, i825, i825, i728) → 3172_0_displayChessboard_Inc(EOS(STATIC_3172(i728)), i662) | >=(i825, i728)
3166_0_displayChessboard_GE(EOS(STATIC_3166(i728)), i662, i825, i825, i728) → 3174_0_displayChessboard_FieldAccess(EOS(STATIC_3174(i728)), i662, i825) | <(i825, i728)
3172_0_displayChessboard_Inc(EOS(STATIC_3172(i728)), i662) → 3179_0_displayChessboard_JMP(EOS(STATIC_3179(i728)), +(i662, 1)) | >=(i662, 0)
3174_0_displayChessboard_FieldAccess(EOS(STATIC_3174(i728)), i662, i825) → 3180_0_displayChessboard_Load(EOS(STATIC_3180(i728)), i662, i825, java.lang.Object(ARRAY(i728)))
3180_0_displayChessboard_Load(EOS(STATIC_3180(i728)), i662, i825, java.lang.Object(ARRAY(i728))) → 3188_0_displayChessboard_ArrayAccess(EOS(STATIC_3188(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3188_0_displayChessboard_ArrayAccess(EOS(STATIC_3188(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3196_0_displayChessboard_ArrayAccess(EOS(STATIC_3196(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3188_0_displayChessboard_ArrayAccess(EOS(STATIC_3188(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3197_0_displayChessboard_ArrayAccess(EOS(STATIC_3197(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3196_0_displayChessboard_ArrayAccess(EOS(STATIC_3196(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3205_0_displayChessboard_Load(EOS(STATIC_3205(i728)), i662, i825, i845) | <(i662, i728)
3197_0_displayChessboard_ArrayAccess(EOS(STATIC_3197(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3207_0_<init>_Load(EOS(STATIC_3207(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) | >=(i662, i728)
3205_0_displayChessboard_Load(EOS(STATIC_3205(i728)), i662, i825, i845) → 3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i845, i825)
3207_0_<init>_Load(EOS(STATIC_3207(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3228_0_<init>_InvokeMethod(EOS(STATIC_3228(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i825, i825) → 3225_0_displayChessboard_EQ(EOS(STATIC_3225(i728)), i662, i825, i825, i825)
3216_0_displayChessboard_EQ(EOS(STATIC_3216(i728)), i662, i825, i845, i825) → 3226_0_displayChessboard_EQ(EOS(STATIC_3226(i728)), i662, i825, i845, i825)
3225_0_displayChessboard_EQ(EOS(STATIC_3225(i728)), i662, i825, i825, i825) → 3235_0_displayChessboard_Inc(EOS(STATIC_3235(i728)), i662, i825)
3226_0_displayChessboard_EQ(EOS(STATIC_3226(i728)), i662, i825, i845, i825) → 3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825) | !(=(i845, i825))
3228_0_<init>_InvokeMethod(EOS(STATIC_3228(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3238_0_<init>_Load(EOS(STATIC_3238(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3235_0_displayChessboard_Inc(EOS(STATIC_3235(i728)), i662, i825) → 3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825)
3236_0_displayChessboard_Inc(EOS(STATIC_3236(i728)), i662, i825) → 3245_0_displayChessboard_JMP(EOS(STATIC_3245(i728)), i662, +(i825, 1)) | >=(i825, 0)
3238_0_<init>_Load(EOS(STATIC_3238(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3258_0_<init>_InvokeMethod(EOS(STATIC_3258(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3245_0_displayChessboard_JMP(EOS(STATIC_3245(i728)), i662, i859) → 3257_0_displayChessboard_Load(EOS(STATIC_3257(i728)), i662, i859)
3258_0_<init>_InvokeMethod(EOS(STATIC_3258(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3262_0_<init>_Load(EOS(STATIC_3262(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3262_0_<init>_Load(EOS(STATIC_3262(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3273_0_<init>_InvokeMethod(EOS(STATIC_3273(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3273_0_<init>_InvokeMethod(EOS(STATIC_3273(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3278_0_<init>_Load(EOS(STATIC_3278(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3278_0_<init>_Load(EOS(STATIC_3278(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3288_0_<init>_InvokeMethod(EOS(STATIC_3288(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3288_0_<init>_InvokeMethod(EOS(STATIC_3288(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3294_0_<init>_Load(EOS(STATIC_3294(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3294_0_<init>_Load(EOS(STATIC_3294(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3306_0_<init>_InvokeMethod(EOS(STATIC_3306(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3306_0_<init>_InvokeMethod(EOS(STATIC_3306(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3312_0_<init>_Load(EOS(STATIC_3312(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3321_0_<init>_Load(EOS(STATIC_3321(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3328_0_<init>_FieldAccess(EOS(STATIC_3328(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3328_0_<init>_FieldAccess(EOS(STATIC_3328(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3336_0_<init>_Load(EOS(STATIC_3336(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3336_0_<init>_Load(EOS(STATIC_3336(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3343_0_<init>_InvokeMethod(EOS(STATIC_3343(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3343_0_<init>_InvokeMethod(EOS(STATIC_3343(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3351_0_<init>_StackPop(EOS(STATIC_3351(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3351_0_<init>_StackPop(EOS(STATIC_3351(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3359_0_<init>_Return(EOS(STATIC_3359(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3359_0_<init>_Return(EOS(STATIC_3359(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3368_0_<init>_Return(EOS(STATIC_3368(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3368_0_<init>_Return(EOS(STATIC_3368(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3376_0_<init>_Return(EOS(STATIC_3376(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3376_0_<init>_Return(EOS(STATIC_3376(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3384_0_<init>_Return(EOS(STATIC_3384(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3384_0_<init>_Return(EOS(STATIC_3384(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3393_0_<init>_Return(EOS(STATIC_3393(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)
3393_0_<init>_Return(EOS(STATIC_3393(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662) → 3399_0_displayChessboard_ArrayAccess(EOS(STATIC_3399(i728)), i662, i825, java.lang.Object(ARRAY(i728)), i662)

Combined rules. Obtained 3 conditional rules for P and 20 conditional rules for R.

P rules:
3896_1_search_InvokeMethod(3356_0_safeMove_Return(EOS(STATIC_3356(x0)), x1), x2, 0, x4, x2, x4) → 3956_1_search_InvokeMethod(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0, 0, +(x2, 1), 0), x2, x4, +(x2, 1)) | &&(&&(&&(>(+(x2, 1), 0), >(x1, 0)), >(x0, 0)), >(x0, +(x2, 1)))
3956_1_search_InvokeMethod(3890_0_search_Return(EOS(STATIC_3890(x0)), 0), x2, x3, x4) → 3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x3, 1)), x2, 0, +(x3, 1), x2, +(x3, 1)) | >(x0, +(x3, 1))
3896_1_search_InvokeMethod(3356_0_safeMove_Return(EOS(STATIC_3356(x0)), 0), x2, 0, x4, x2, x4) → 3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x4, 1)), x2, 0, +(x4, 1), x2, +(x4, 1)) | >(x0, +(x4, 1))
R rules:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x1, x2) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, 1, 0, 0, x1)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x4, x4, x1) → 3356_0_safeMove_Return(EOS(STATIC_3356(x0)), x3) | >=(x4, x1)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x4, x4, x1) → 3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(x0)), x1, x2, x4, x1, x2, x4, java.lang.Object(ARRAY(x0)), x4) | &&(&&(>=(x4, x0), <(x4, x1)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, 0, x4, x4, x1) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, 0, +(x4, 1), +(x4, 1), x1) | &&(>(+(x4, 1), 0), <(x4, x1))
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(x0)), x1, x2, x3, x1, x2, x3, java.lang.Object(ARRAY(x0)), x3), x1, 0, x2, x1, x2) → 3911_0_search_InvokeMethod(EOS(STATIC_3911(x0)), x1, 0, x2, x1, x2)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_4064(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x1, x2), x3, x4, x1) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x3, x4, x1)
3956_1_search_InvokeMethod(3981_0_search_InvokeMethod(EOS(STATIC_3981(x0)), x1, x2, x3), x4, x5, x1) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(4010_0_search_InvokeMethod(EOS(STATIC_4010(x0)), x1, x2, x3), x4, x5, x1) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x1, x2, x3), x4, x5, x1) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3911(x0)), x1, 0, x3, x1, x3), x4, x5, x1) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3425(x0)), 0), x2, x3, x4) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x2, x3, x4)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x4, x4, x1) → 3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626(x0)), 0), x1, x2, x4, x1, x2, x4) | &&(&&(<(x4, x1), <(x4, x0)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x1, x1, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0)), 1), x1, x2, x1, x1, x2, x1) | &&(&&(>(x3, 0), <(x1, x1)), <(x1, x0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x4, x4, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0)), 1), x1, x2, x4, x1, x2, x4) | &&(&&(<(x4, x1), <(x4, x0)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x1, x2, x3, x3, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0)), 1), x1, x1, x3, x1, x1, x3) | &&(&&(<(x3, x1), <(x3, x0)), >(x2, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x2, x2, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0)), 1), x1, x2, x2, x1, x2, x2) | &&(&&(&&(>(x3, 0), <(x2, x1)), <(x2, x0)), !(=(-(x1, x2), -(x2, x1))))
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626(x0)), 0), x2, x3, x4, x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x2, x3, x4, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0)), 1), x2, x3, x4, x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x2, x3, x4, 1)
3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x1, x2, x3, 1) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, 0, +(x3, 1), +(x3, 1), x1) | >(+(x3, 1), 0)
3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x1, x2, x3, 0) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, 1, +(x3, 1), +(x3, 1), x1) | >(+(x3, 1), 0)

Filtered ground terms:

3896_1_search_InvokeMethod(x1, x2, x3, x4, x5, x6) → 3896_1_search_InvokeMethod(x1, x2, x4, x5, x6)
Cond_3896_1_search_InvokeMethod1(x1, x2, x3, x4, x5, x6, x7) → Cond_3896_1_search_InvokeMethod1(x1, x2, x3, x5, x6, x7)
3890_0_search_Return(x1, x2) → 3890_0_search_Return(x1)
Cond_3896_1_search_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → Cond_3896_1_search_InvokeMethod(x1, x2, x3, x5, x6, x7)
Cond_3654_0_safeMove_NE1(x1, x2, x3, x4, x5, x6) → Cond_3654_0_safeMove_NE1(x1, x2, x3, x4, x5)
Cond_3654_0_safeMove_NE(x1, x2, x3, x4, x5, x6) → Cond_3654_0_safeMove_NE(x1, x2, x3, x4, x5)
3634_0_wrongPos_Return(x1, x2) → 3634_0_wrongPos_Return(x1)
3626_0_wrongPos_Return(x1, x2) → 3626_0_wrongPos_Return(x1)
3425_0_search_InvokeMethod(x1, x2) → 3425_0_search_InvokeMethod(x1)
3911_0_search_InvokeMethod(x1, x2, x3, x4, x5, x6) → 3911_0_search_InvokeMethod(x1, x2, x4, x5, x6)
Cond_3332_0_safeMove_GE2(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE2(x1, x2, x3, x4, x6, x7, x8)

Filtered duplicate args:

3896_1_search_InvokeMethod(x1, x2, x3, x4, x5) → 3896_1_search_InvokeMethod(x1, x4, x5)
Cond_3896_1_search_InvokeMethod(x1, x2, x3, x4, x5, x6) → Cond_3896_1_search_InvokeMethod(x1, x2, x5, x6)
Cond_3896_1_search_InvokeMethod1(x1, x2, x3, x4, x5, x6) → Cond_3896_1_search_InvokeMethod1(x1, x2, x5, x6)
3332_0_safeMove_GE(x1, x2, x3, x4, x5, x6, x7) → 3332_0_safeMove_GE(x1, x3, x4, x6, x7)
Cond_3332_0_safeMove_GE(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE(x1, x2, x4, x5, x7, x8)
Cond_3332_0_safeMove_GE1(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE1(x1, x2, x4, x5, x7, x8)
3610_0_safeMove_ArrayAccess(x1, x2, x3, x4, x5, x6, x7, x8, x9) → 3610_0_safeMove_ArrayAccess(x1, x5, x6, x8, x9)
Cond_3332_0_safeMove_GE2(x1, x2, x3, x4, x5, x6, x7) → Cond_3332_0_safeMove_GE2(x1, x2, x4, x6, x7)
3911_0_search_InvokeMethod(x1, x2, x3, x4, x5) → 3911_0_search_InvokeMethod(x1, x4, x5)
4064_0_search_ArrayAccess(x1, x2, x3, x4, x5, x6) → 4064_0_search_ArrayAccess(x1, x4, x5, x6)
Cond_3332_0_safeMove_GE3(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE3(x1, x2, x4, x5, x7, x8)
3429_1_safeMove_InvokeMethod(x1, x2, x3, x4, x5, x6, x7) → 3429_1_safeMove_InvokeMethod(x1, x5, x6, x7)
Cond_3332_0_safeMove_GE4(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE4(x1, x2, x4, x5, x8)
Cond_3332_0_safeMove_GE5(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE5(x1, x2, x4, x5, x7, x8)
Cond_3332_0_safeMove_GE6(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE6(x1, x2, x5, x7, x8)
Cond_3332_0_safeMove_GE7(x1, x2, x3, x4, x5, x6, x7, x8) → Cond_3332_0_safeMove_GE7(x1, x2, x5, x7, x8)

Filtered unneeded arguments:

3956_1_search_InvokeMethod(x1, x2, x3, x4) → 3956_1_search_InvokeMethod(x1, x2, x3)
Cond_3956_1_search_InvokeMethod(x1, x2, x3, x4, x5) → Cond_3956_1_search_InvokeMethod(x1, x2, x3, x4)
Cond_3332_0_safeMove_GE(x1, x2, x3, x4, x5, x6) → Cond_3332_0_safeMove_GE(x1, x2, x4)
Cond_3332_0_safeMove_GE1(x1, x2, x3, x4, x5, x6) → Cond_3332_0_safeMove_GE1(x1)
Cond_3332_0_safeMove_GE3(x1, x2, x3, x4, x5, x6) → Cond_3332_0_safeMove_GE3(x1, x2, x3, x5, x6)
Cond_3332_0_safeMove_GE4(x1, x2, x3, x4, x5) → Cond_3332_0_safeMove_GE4(x1, x2, x3, x5)
Cond_3332_0_safeMove_GE5(x1, x2, x3, x4, x5, x6) → Cond_3332_0_safeMove_GE5(x1, x2, x3, x5, x6)
Cond_3332_0_safeMove_GE6(x1, x2, x3, x4, x5) → Cond_3332_0_safeMove_GE6(x1, x2, x4, x5)
Cond_3332_0_safeMove_GE7(x1, x2, x3, x4, x5) → Cond_3332_0_safeMove_GE7(x1, x2, x4, x5)

Combined rules. Obtained 3 conditional rules for P and 20 conditional rules for R.

P rules:
3896_1_search_InvokeMethod(3356_0_safeMove_Return(EOS(STATIC_3356(x0)), x1), x2, x4) → 3956_1_search_InvokeMethod(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0), x2, x4) | &&(&&(&&(>(x2, -1), >(x1, 0)), >(x0, 0)), >(x0, +(x2, 1)))
3956_1_search_InvokeMethod(3890_0_search_Return(EOS(STATIC_3890(x0))), x2, x3) → 3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x3, 1)), x2, +(x3, 1)) | >(x0, +(x3, 1))
3896_1_search_InvokeMethod(3356_0_safeMove_Return(EOS(STATIC_3356(x0)), 0), x2, x4) → 3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x4, 1)), x2, +(x4, 1)) | >(x0, +(x4, 1))
R rules:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x1, x2) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, 1, 0, x1)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x4, x1) → 3356_0_safeMove_Return(EOS(STATIC_3356(x0)), x3) | >=(x4, x1)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x4, x1) → 3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x4) | &&(&&(>=(x4, x0), <(x4, x1)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, 0, x4, x1) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, 0, +(x4, 1), x1) | &&(>(x4, -1), <(x4, x1))
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3610(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x3), x1, x2) → 3911_0_search_InvokeMethod(EOS(STATIC_3911(x0)), x1, x2)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_4064(x0)), java.lang.Object(ARRAY(x0)), x1, x2), x3, x4) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x3, x4, x1)
3956_1_search_InvokeMethod(3981_0_search_InvokeMethod(EOS(STATIC_3981(x0)), x1, x2, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(4010_0_search_InvokeMethod(EOS(STATIC_4010(x0)), x1, x2, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x1, x2, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3911(x0)), x1, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3425(x0))), x2, x3) → 4081_0_search_InvokeMethod(EOS(STATIC_4081(x0)), x2, x3, x4)
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x4, x1) → 3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626(x0))), x1, x2, x4) | &&(&&(<(x4, x1), <(x4, x0)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x1, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0))), x1, x2, x1) | &&(&&(>(x3, 0), <(x1, x1)), <(x1, x0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x4, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0))), x1, x2, x4) | &&(&&(<(x4, x1), <(x4, x0)), >(x3, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x1, x2, x3, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0))), x1, x1, x3) | &&(&&(<(x3, x1), <(x3, x0)), >(x2, 0))
3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, x3, x2, x1) → 3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0))), x1, x2, x2) | &&(&&(&&(>(x3, 0), <(x2, x1)), <(x2, x0)), !(=(-(x1, x2), -(x2, x1))))
3429_1_safeMove_InvokeMethod(3626_0_wrongPos_Return(EOS(STATIC_3626(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x2, x3, x4, 0)
3429_1_safeMove_InvokeMethod(3634_0_wrongPos_Return(EOS(STATIC_3634(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x2, x3, x4, 1)
3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x1, x2, x3, 1) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, 0, +(x3, 1), x1) | >(x3, -1)
3654_0_safeMove_NE(EOS(STATIC_3654(x0)), x1, x2, x3, 0) → 3332_0_safeMove_GE(EOS(STATIC_3332(x0)), x2, 1, +(x3, 1), x1) | >(x3, -1)

Performed bisimulation on rules. Used the following equivalence classes: {[3425_0_search_InvokeMethod_1, 3626_0_wrongPos_Return_1, 3634_0_wrongPos_Return_1, 3890_0_search_Return_1]=3425_0_search_InvokeMethod_1, [STATIC_3896_1, STATIC_3332_1, STATIC_3356_1, STATIC_3610_1, STATIC_3911_1, STATIC_4064_1, STATIC_4081_1, STATIC_3981_1, STATIC_4010_1, STATIC_3425_1, STATIC_3626_1, STATIC_3634_1, STATIC_3654_1, STATIC_3890_1]=STATIC_3896_1, [Cond_3332_0_safeMove_GE3_6, Cond_3332_0_safeMove_GE5_6, Cond_3332_0_safeMove_GE6_6]=Cond_3332_0_safeMove_GE3_6, [4081_0_search_InvokeMethod_4, 3981_0_search_InvokeMethod_4, 4010_0_search_InvokeMethod_4]=4081_0_search_InvokeMethod_4}

Finished conversion. Obtained 7 rules for P and 26 rules for R. System has predefined symbols.

P rules:
3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2, -1), >(x1, 0)), >(x0, 0)), >(x0, +(x2, 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4)
COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → 3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0), x2, x4)
COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0)
3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → COND_3956_1_SEARCH_INVOKEMETHOD(>(x0, +(x3, 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3)
COND_3956_1_SEARCH_INVOKEMETHOD(TRUE, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x3, 1)), x2, +(x3, 1))
3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0)), 0), x2, x4) → COND_3896_1_SEARCH_INVOKEMETHOD1(>(x0, +(x4, 1)), 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), 0), x2, x4)
COND_3896_1_SEARCH_INVOKEMETHOD1(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), 0), x2, x4) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x4, 1)), x2, +(x4, 1))
R rules:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x1, x2) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 1, 0, x1)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE(>=(x4, x1), EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x3)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE1(&&(&&(>=(x4, x0), <(x4, x1)), >(x3, 0)), EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE1(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3610_0_safeMove_ArrayAccess(EOS(STATIC_3896(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, x4, x1) → Cond_3332_0_safeMove_GE2(&&(>(x4, -1), <(x4, x1)), EOS(STATIC_3896(x0)), x2, 0, x4, x1)
Cond_3332_0_safeMove_GE2(TRUE, EOS(STATIC_3896(x0)), x2, 0, x4, x1) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, +(x4, 1), x1)
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3896(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x3), x1, x2) → 3911_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_3896(x0)), java.lang.Object(ARRAY(x0)), x1, x2), x3, x4) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x3, x4, x1)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x2, x3, x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE3(&&(&&(<(x4, x1), <(x4, x0)), >(x3, 0)), EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE3(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x1, x1) → Cond_3332_0_safeMove_GE4(&&(&&(>(x3, 0), <(x1, x1)), <(x1, x0)), EOS(STATIC_3896(x0)), x2, x3, x1, x1)
Cond_3332_0_safeMove_GE4(TRUE, EOS(STATIC_3896(x0)), x2, x3, x1, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x1)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x1, x2, x3, x1) → Cond_3332_0_safeMove_GE3(&&(&&(<(x3, x1), <(x3, x0)), >(x2, 0)), EOS(STATIC_3896(x0)), x1, x2, x3, x1)
Cond_3332_0_safeMove_GE3(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x1, x3)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x2, x1) → Cond_3332_0_safeMove_GE7(&&(&&(&&(>(x3, 0), <(x2, x1)), <(x2, x0)), !(=(-(x1, x2), -(x2, x1)))), EOS(STATIC_3896(x0)), x2, x3, x2, x1)
Cond_3332_0_safeMove_GE7(TRUE, EOS(STATIC_3896(x0)), x2, x3, x2, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x2)
3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x2, x3, x4, 0)
3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x2, x3, x4, 1)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 1) → Cond_3654_0_safeMove_NE(>(x3, -1), EOS(STATIC_3896(x0)), x1, x2, x3, 1)
Cond_3654_0_safeMove_NE(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 1) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, +(x3, 1), x1)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 0) → Cond_3654_0_safeMove_NE1(>(x3, -1), EOS(STATIC_3896(x0)), x1, x2, x3, 0)
Cond_3654_0_safeMove_NE1(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 0) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 1, +(x3, 1), x1)

### (37) 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, Boolean

The ITRS R consists of the following rules:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x1, x2) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 1, 0, x1)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE(x4 >= x1, EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x3)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE1(x4 >= x0 && x4 < x1 && x3 > 0, EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE1(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3610_0_safeMove_ArrayAccess(EOS(STATIC_3896(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, x4, x1) → Cond_3332_0_safeMove_GE2(x4 > -1 && x4 < x1, EOS(STATIC_3896(x0)), x2, 0, x4, x1)
Cond_3332_0_safeMove_GE2(TRUE, EOS(STATIC_3896(x0)), x2, 0, x4, x1) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, x4 + 1, x1)
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3896(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x3), x1, x2) → 3911_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_3896(x0)), java.lang.Object(ARRAY(x0)), x1, x2), x3, x4) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x3, x4, x1)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x3), x4, x5) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x4, x5, x1)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → 4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x2, x3, x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x4, x1) → Cond_3332_0_safeMove_GE3(x4 < x1 && x4 < x0 && x3 > 0, EOS(STATIC_3896(x0)), x2, x3, x4, x1)
Cond_3332_0_safeMove_GE3(TRUE, EOS(STATIC_3896(x0)), x2, x3, x4, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x4)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x1, x1) → Cond_3332_0_safeMove_GE4(x3 > 0 && x1 < x1 && x1 < x0, EOS(STATIC_3896(x0)), x2, x3, x1, x1)
Cond_3332_0_safeMove_GE4(TRUE, EOS(STATIC_3896(x0)), x2, x3, x1, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x1)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x1, x2, x3, x1) → Cond_3332_0_safeMove_GE3(x3 < x1 && x3 < x0 && x2 > 0, EOS(STATIC_3896(x0)), x1, x2, x3, x1)
Cond_3332_0_safeMove_GE3(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x1, x3)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, x3, x2, x1) → Cond_3332_0_safeMove_GE7(x3 > 0 && x2 < x1 && x2 < x0 && !(x1 - x2 = x2 - x1), EOS(STATIC_3896(x0)), x2, x3, x2, x1)
Cond_3332_0_safeMove_GE7(TRUE, EOS(STATIC_3896(x0)), x2, x3, x2, x1) → 3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x2)
3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x2, x3, x4, 0)
3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3, x4) → 3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x2, x3, x4, 1)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 1) → Cond_3654_0_safeMove_NE(x3 > -1, EOS(STATIC_3896(x0)), x1, x2, x3, 1)
Cond_3654_0_safeMove_NE(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 1) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 0, x3 + 1, x1)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 0) → Cond_3654_0_safeMove_NE1(x3 > -1, EOS(STATIC_3896(x0)), x1, x2, x3, 0)
Cond_3654_0_safeMove_NE1(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 0) → 3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x2, 1, x3 + 1, x1)

The integer pair graph contains the following rules and edges:
(0): 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(x2[0] > -1 && x1[0] > 0 && x0[0] > 0 && x0[0] > x2[0] + 1, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])
(1): COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1]), x2[1], x4[1]) → 3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), x2[1] + 1, 0), x2[1] + 1, 0), x2[1], x4[1])
(2): COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), x2[2] + 1, 0), x2[2] + 1, 0)
(3): 3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]) → COND_3956_1_SEARCH_INVOKEMETHOD(x0[3] > x3[3] + 1, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])
(4): COND_3956_1_SEARCH_INVOKEMETHOD(TRUE, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[4]))), x2[4], x3[4]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[4])), x2[4], x3[4] + 1), x2[4], x3[4] + 1)
(5): 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0), x2[5], x4[5]) → COND_3896_1_SEARCH_INVOKEMETHOD1(x0[5] > x4[5] + 1, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0), x2[5], x4[5])
(6): COND_3896_1_SEARCH_INVOKEMETHOD1(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[6])), 0), x2[6], x4[6]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[6])), x2[6], x4[6] + 1), x2[6], x4[6] + 1)

(0) -> (1), if (x2[0] > -1 && x1[0] > 0 && x0[0] > 0 && x0[0] > x2[0] + 13356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1])∧x2[0]* x2[1]x4[0]* x4[1])

(0) -> (2), if (x2[0] > -1 && x1[0] > 0 && x0[0] > 0 && x0[0] > x2[0] + 13356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2])∧x2[0]* x2[2]x4[0]* x4[2])

(1) -> (3), if (3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), x2[1] + 1, 0), x2[1] + 1, 0) →* 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3])))∧x2[1]* x2[3]x4[1]* x3[3])

(2) -> (0), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), x2[2] + 1, 0) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])∧x2[2] + 1* x2[0]0* x4[0])

(2) -> (5), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), x2[2] + 1, 0) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0)∧x2[2] + 1* x2[5]0* x4[5])

(3) -> (4), if (x0[3] > x3[3] + 13425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))) →* 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[4])))∧x2[3]* x2[4]x3[3]* x3[4])

(4) -> (0), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[4])), x2[4], x3[4] + 1) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])∧x2[4]* x2[0]x3[4] + 1* x4[0])

(4) -> (5), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[4])), x2[4], x3[4] + 1) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0)∧x2[4]* x2[5]x3[4] + 1* x4[5])

(5) -> (6), if (x0[5] > x4[5] + 13356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[6])), 0)∧x2[5]* x2[6]x4[5]* x4[6])

(6) -> (0), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[6])), x2[6], x4[6] + 1) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])∧x2[6]* x2[0]x4[6] + 1* x4[0])

(6) -> (5), if (3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[6])), x2[6], x4[6] + 1) →* 3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0)∧x2[6]* x2[5]x4[6] + 1* x4[5])

The set Q consists of the following terms:
3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x1, x2)
3332_0_safeMove_GE(EOS(STATIC_3896(x0)), x1, x2, x3, x4)
Cond_3332_0_safeMove_GE(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x4)
Cond_3332_0_safeMove_GE1(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x4)
Cond_3332_0_safeMove_GE2(TRUE, EOS(STATIC_3896(x0)), x1, 0, x2, x3)
3896_1_search_InvokeMethod(3610_0_safeMove_ArrayAccess(EOS(STATIC_3896(x0)), x1, x2, java.lang.Object(ARRAY(x0)), x3), x1, x2)
3956_1_search_InvokeMethod(4064_0_search_ArrayAccess(EOS(STATIC_3896(x0)), java.lang.Object(ARRAY(x0)), x1, x2), x3, x4)
3956_1_search_InvokeMethod(4081_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2, x3), x4, x5)
3956_1_search_InvokeMethod(3911_0_search_InvokeMethod(EOS(STATIC_3896(x0)), x1, x2), x3, x4)
3956_1_search_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2)
Cond_3332_0_safeMove_GE3(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x4)
Cond_3332_0_safeMove_GE4(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, x3)
Cond_3332_0_safeMove_GE7(TRUE, EOS(STATIC_3896(x0)), x1, x2, x1, x3)
3429_1_safeMove_InvokeMethod(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x1, x2, x3)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 1)
Cond_3654_0_safeMove_NE(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 1)
3654_0_safeMove_NE(EOS(STATIC_3896(x0)), x1, x2, x3, 0)
Cond_3654_0_safeMove_NE1(TRUE, EOS(STATIC_3896(x0)), x1, x2, x3, 0)

### (38) 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@2d999d9a 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 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2, -1), >(x1, 0)), >(x0, 0)), >(x0, +(x2, 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) the following chains were created:
• We consider the chain 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]), COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1]), x2[1], x4[1]) → 3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1]) which results in the following constraint:

(1)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])=3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1])∧x2[0]=x2[1]x4[0]=x4[1]3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])∧(UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥))

We simplified constraint (1) using rules (I), (II), (IV) which results in the following new constraint:

(2)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])∧(UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥))

We simplified constraint (2) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(3)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (3) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(4)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (4) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(5)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (5) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(6)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(2)bni_142] ≥ 0∧[bni_142] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_142 + (-1)Bound*bni_142] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_143] ≥ 0)

• We consider the chain 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]), COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0) which results in the following constraint:

(7)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])=3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2])∧x2[0]=x2[2]x4[0]=x4[2]3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])∧(UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥))

We simplified constraint (7) using rules (I), (II), (IV) which results in the following new constraint:

(8)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])∧(UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥))

We simplified constraint (8) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(9)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (9) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(10)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (10) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(11)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(-1)bni_142 + (-1)Bound*bni_142] + [(2)bni_142]x4[0] + [bni_142]x2[0] ≥ 0∧[(-1)bso_143] ≥ 0)

We simplified constraint (11) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(12)    (0 ≥ 0 ⇒ (UIncreasing(COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])), ≥)∧[(2)bni_142] ≥ 0∧[bni_142] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_142 + (-1)Bound*bni_142] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_143] ≥ 0)

For Pair COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → 3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0), x2, x4) the following chains were created:
• We consider the chain 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]), COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1]), x2[1], x4[1]) → 3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1]), 3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]) → COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]) which results in the following constraint:

(13)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])=3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1])∧x2[0]=x2[1]x4[0]=x4[1]3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0)=3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3])))∧x2[1]=x2[3]x4[1]=x3[3]COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1]), x2[1], x4[1])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[1])), x1[1]), x2[1], x4[1])≥3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])∧(UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥))

We simplified constraint (13) using rules (I), (II), (III), (IV) which results in the following new constraint:

(14)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0), +(x2[0], 1), 0)=3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))) ⇒ COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0), +(x2[0], 1), 0), x2[0], x4[0])∧(UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥))

We simplified constraint (14) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(15)    (0 ≥ 0 ⇒ (UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥)∧[(-1)bni_144 + (-1)Bound*bni_144] + [(2)bni_144]x4[0] + [bni_144]x2[0] ≥ 0∧[(-1)bso_145] + x4[0] ≥ 0)

We simplified constraint (15) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(16)    (0 ≥ 0 ⇒ (UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥)∧[(-1)bni_144 + (-1)Bound*bni_144] + [(2)bni_144]x4[0] + [bni_144]x2[0] ≥ 0∧[(-1)bso_145] + x4[0] ≥ 0)

We simplified constraint (16) using rule (POLY_REMOVE_MIN_MAX) which results in the following new constraint:

(17)    (0 ≥ 0 ⇒ (UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥)∧[(-1)bni_144 + (-1)Bound*bni_144] + [(2)bni_144]x4[0] + [bni_144]x2[0] ≥ 0∧[(-1)bso_145] + x4[0] ≥ 0)

We simplified constraint (17) using rule (IDP_UNRESTRICTED_VARS) which results in the following new constraint:

(18)    (0 ≥ 0 ⇒ (UIncreasing(3956_1_SEARCH_INVOKEMETHOD(3896_1_search_InvokeMethod(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[1])), +(x2[1], 1), 0), +(x2[1], 1), 0), x2[1], x4[1])), ≥)∧[(2)bni_144] ≥ 0∧[bni_144] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_144 + (-1)Bound*bni_144] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_145] ≥ 0)

For Pair COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0)), x1), x2, x4) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), +(x2, 1), 0), +(x2, 1), 0) the following chains were created:
• We consider the chain 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]), COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0), 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) which results in the following constraint:

(19)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])=3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2])∧x2[0]=x2[2]x4[0]=x4[2]3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0)=3356_0_safeMove_Return(EOS(STATIC_3896(x0[0]1)), x1[0]1)∧+(x2[2], 1)=x2[0]10=x4[0]1COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2])≥3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)∧(UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥))

We simplified constraint (19) using rules (I), (II), (III), (IV) which results in the following new constraint:

(20)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0)=3356_0_safeMove_Return(EOS(STATIC_3896(x0[0]1)), x1[0]1) ⇒ COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0), +(x2[0], 1), 0)∧(UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥))

We simplified constraint (20) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(21)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

We simplified constraint (21) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(22)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

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

(23)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

We simplified constraint (23) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

(24)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(2)bni_146] ≥ 0∧[bni_146] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_146 + (-1)Bound*bni_146] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_147] ≥ 0∧[1] ≥ 0)

• We consider the chain 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]) → COND_3896_1_SEARCH_INVOKEMETHOD(&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1))), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0]), COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0), 3896_1_SEARCH_INVOKEMETHOD(3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0), x2[5], x4[5]) → COND_3896_1_SEARCH_INVOKEMETHOD1(>(x0[5], +(x4[5], 1)), 3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0), x2[5], x4[5]) which results in the following constraint:

(25)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0])=3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2])∧x2[0]=x2[2]x4[0]=x4[2]3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0)=3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0)∧+(x2[2], 1)=x2[5]0=x4[5]COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[2])), x1[2]), x2[2], x4[2])≥3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)∧(UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥))

We simplified constraint (25) using rules (I), (II), (III), (IV) which results in the following new constraint:

(26)    (&&(&&(&&(>(x2[0], -1), >(x1[0], 0)), >(x0[0], 0)), >(x0[0], +(x2[0], 1)))=TRUE3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0)=3356_0_safeMove_Return(EOS(STATIC_3896(x0[5])), 0) ⇒ COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥NonInfC∧COND_3896_1_SEARCH_INVOKEMETHOD(TRUE, 3356_0_safeMove_Return(EOS(STATIC_3896(x0[0])), x1[0]), x2[0], x4[0])≥3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[0])), +(x2[0], 1), 0), +(x2[0], 1), 0)∧(UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥))

We simplified constraint (26) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(27)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

We simplified constraint (27) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(28)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

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

(29)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(-1)bni_146 + (-1)Bound*bni_146] + [(2)bni_146]x4[0] + [bni_146]x2[0] ≥ 0∧[(-1)bso_147] + [2]x4[0] + x2[0] ≥ 0)

We simplified constraint (29) using rules (IDP_UNRESTRICTED_VARS), (IDP_POLY_GCD) which results in the following new constraint:

(30)    (0 ≥ 0 ⇒ (UIncreasing(3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[2])), +(x2[2], 1), 0), +(x2[2], 1), 0)), ≥)∧[(2)bni_146] ≥ 0∧[bni_146] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bni_146 + (-1)Bound*bni_146] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_147] ≥ 0∧[1] ≥ 0)

For Pair 3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → COND_3956_1_SEARCH_INVOKEMETHOD(>(x0, +(x3, 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) the following chains were created:
• We consider the chain 3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]) → COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]), COND_3956_1_SEARCH_INVOKEMETHOD(TRUE, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[4]))), x2[4], x3[4]) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0[4])), x2[4], +(x3[4], 1)), x2[4], +(x3[4], 1)) which results in the following constraint:

(31)    (>(x0[3], +(x3[3], 1))=TRUE3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3])))=3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[4])))∧x2[3]=x2[4]x3[3]=x3[4]3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])≥NonInfC∧3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])≥COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])∧(UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥))

We simplified constraint (31) using rules (I), (II), (IV) which results in the following new constraint:

(32)    (>(x0[3], +(x3[3], 1))=TRUE3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])≥NonInfC∧3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])≥COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])∧(UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥))

We simplified constraint (32) using rule (POLY_CONSTRAINTS) which results in the following new constraint:

(33)    (0 ≥ 0 ⇒ (UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥)∧[bni_148 + (-1)Bound*bni_148] + [bni_148]x3[3] + [bni_148]x2[3] ≥ 0∧[(-1)bso_149] + x3[3] ≥ 0)

We simplified constraint (33) using rule (IDP_POLY_SIMPLIFY) which results in the following new constraint:

(34)    (0 ≥ 0 ⇒ (UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥)∧[bni_148 + (-1)Bound*bni_148] + [bni_148]x3[3] + [bni_148]x2[3] ≥ 0∧[(-1)bso_149] + x3[3] ≥ 0)

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

(35)    (0 ≥ 0 ⇒ (UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥)∧[bni_148 + (-1)Bound*bni_148] + [bni_148]x3[3] + [bni_148]x2[3] ≥ 0∧[(-1)bso_149] + x3[3] ≥ 0)

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

(36)    (0 ≥ 0 ⇒ (UIncreasing(COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3])), ≥)∧[bni_148] ≥ 0∧[bni_148] ≥ 0∧0 ≥ 0∧[bni_148 + (-1)Bound*bni_148] ≥ 0∧[1] ≥ 0∧0 ≥ 0∧0 ≥ 0∧[(-1)bso_149] ≥ 0)

For Pair COND_3956_1_SEARCH_INVOKEMETHOD(TRUE, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0))), x2, x3) → 3896_1_SEARCH_INVOKEMETHOD(3896_0_safeMove_ConstantStackPush(EOS(STATIC_3896(x0)), x2, +(x3, 1)), x2, +(x3, 1)) the following chains were created:
• We consider the chain 3956_1_SEARCH_INVOKEMETHOD(3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]) → COND_3956_1_SEARCH_INVOKEMETHOD(>(x0[3], +(x3[3], 1)), 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[3]))), x2[3], x3[3]), COND_3956_1_SEARCH_INVOKEMETHOD(TRUE, 3425_0_search_InvokeMethod(EOS(STATIC_3896(x0[4]))), x2[4],