/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.jar /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.jar
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


termination of the given Bare JBC problem could be proven:

(0) Bare JBC problem
(1) BareJBCToJBCProof [EQUIVALENT, 96 ms]
(2) JBC problem
(3) JBCToGraph [EQUIVALENT, 989 ms]
(4) JBCTerminationGraph
(5) TerminationGraphToSCCProof [SOUND, 6 ms]
(6) AND
    (7) JBCTerminationSCC
        (8) SCCToIRSProof [SOUND, 11 ms]
        (9) IRSwT
        (10) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (11) IRSwT
        (12) IRSwTTerminationDigraphProof [EQUIVALENT, 13 ms]
        (13) IRSwT
        (14) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (15) IRSwT
        (16) TempFilterProof [SOUND, 12 ms]
        (17) IntTRS
        (18) PolynomialOrderProcessor [EQUIVALENT, 1 ms]
        (19) YES
    (20) JBCTerminationSCC
        (21) SCCToIRSProof [SOUND, 1 ms]
        (22) IRSwT
        (23) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (24) IRSwT
        (25) IRSwTTerminationDigraphProof [EQUIVALENT, 17 ms]
        (26) IRSwT
        (27) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (28) IRSwT
        (29) TempFilterProof [SOUND, 23 ms]
        (30) IntTRS
        (31) PolynomialOrderProcessor [EQUIVALENT, 12 ms]
        (32) YES
    (33) JBCTerminationSCC
        (34) SCCToIRSProof [SOUND, 81 ms]
        (35) IRSwT
        (36) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (37) IRSwT
        (38) IRSwTTerminationDigraphProof [EQUIVALENT, 17 ms]
        (39) IRSwT
        (40) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (41) IRSwT
        (42) TempFilterProof [SOUND, 18 ms]
        (43) IntTRS
        (44) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (45) YES
    (46) JBCTerminationSCC
        (47) SCCToIRSProof [SOUND, 75 ms]
        (48) IRSwT
        (49) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (50) IRSwT
        (51) IRSwTTerminationDigraphProof [EQUIVALENT, 54 ms]
        (52) IRSwT
        (53) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (54) IRSwT
        (55) TempFilterProof [SOUND, 9 ms]
        (56) IntTRS
        (57) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (58) YES
    (59) JBCTerminationSCC
        (60) SCCToIRSProof [SOUND, 88 ms]
        (61) IRSwT
        (62) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (63) IRSwT
        (64) IRSwTTerminationDigraphProof [EQUIVALENT, 77 ms]
        (65) IRSwT
        (66) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (67) IRSwT
        (68) TempFilterProof [SOUND, 9 ms]
        (69) IntTRS
        (70) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (71) YES
    (72) JBCTerminationSCC
        (73) SCCToIRSProof [SOUND, 123 ms]
        (74) IRSwT
        (75) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
        (76) IRSwT
        (77) IRSwTTerminationDigraphProof [EQUIVALENT, 329 ms]
        (78) IRSwT
        (79) IntTRSCompressionProof [EQUIVALENT, 0 ms]
        (80) IRSwT
        (81) TempFilterProof [SOUND, 106 ms]
        (82) IntTRS
        (83) RankingReductionPairProof [EQUIVALENT, 36 ms]
        (84) IntTRS
        (85) PolynomialOrderProcessor [EQUIVALENT, 0 ms]
        (86) IntTRS
        (87) RankingReductionPairProof [EQUIVALENT, 0 ms]
        (88) YES


----------------------------------------

(0)
Obligation:
need to prove termination of the following program:
public class TaylorSeriesIte {
    
    public static int power(int a, int b) {
	int p = 1;
	for (int i = 1; i <= b; i++) p *= a;
	return p;
    }

    public static int fact(int n) {
	int p = 1;
	for (int i = 1; i <= n; i++) p *= i;
	return p;
    }

    public static int sin(int x, int n) {
	int s = x;
	for (int i = 3; i <= n; i += 2)
	    s += power(-1, i/2) * power(x, i) / fact(i);
	return s;
    }

    public static int cos(int x, int n) {
	int s = 1;
	for (int i = 2; i <= n; i += 2)
	    s += power(-1, i/2) * power(x, i) / fact(i);
	return s;
    }

    public static int exp(int x, int n) {
	int s = 0;
	for (int i = 0; i <= n; i++)
	    s += power(x, i) / fact(i);
	return s;	
    }

    public static void main(String args[]) {
	for (int i = 0; i < args.length; i++)
	    if (i % 2 == 0) sin(args.length, i);
	    else if (i % 3 == 0) cos(args.length, i);
	    else if (i % 5 == 0) exp(args.length, i);
	    else for (int j = 0; j < 100; j++);
    }
}


----------------------------------------

(1) BareJBCToJBCProof (EQUIVALENT)
initialized classpath
----------------------------------------

(2)
Obligation:
need to prove termination of the following program:
public class TaylorSeriesIte {
    
    public static int power(int a, int b) {
	int p = 1;
	for (int i = 1; i <= b; i++) p *= a;
	return p;
    }

    public static int fact(int n) {
	int p = 1;
	for (int i = 1; i <= n; i++) p *= i;
	return p;
    }

    public static int sin(int x, int n) {
	int s = x;
	for (int i = 3; i <= n; i += 2)
	    s += power(-1, i/2) * power(x, i) / fact(i);
	return s;
    }

    public static int cos(int x, int n) {
	int s = 1;
	for (int i = 2; i <= n; i += 2)
	    s += power(-1, i/2) * power(x, i) / fact(i);
	return s;
    }

    public static int exp(int x, int n) {
	int s = 0;
	for (int i = 0; i <= n; i++)
	    s += power(x, i) / fact(i);
	return s;	
    }

    public static void main(String args[]) {
	for (int i = 0; i < args.length; i++)
	    if (i % 2 == 0) sin(args.length, i);
	    else if (i % 3 == 0) cos(args.length, i);
	    else if (i % 5 == 0) exp(args.length, i);
	    else for (int j = 0; j < 100; j++);
    }
}


----------------------------------------

(3) JBCToGraph (EQUIVALENT)
Constructed TerminationGraph.
----------------------------------------

(4)
Obligation:
Termination Graph based on JBC Program:
TaylorSeriesIte.main([Ljava/lang/String;)V: Graph of 82 nodes with 1 SCC.



TaylorSeriesIte.sin(II)I: Graph of 42 nodes with 1 SCC.



TaylorSeriesIte.cos(II)I: Graph of 42 nodes with 1 SCC.



TaylorSeriesIte.exp(II)I: Graph of 35 nodes with 1 SCC.



TaylorSeriesIte.power(II)I: Graph of 22 nodes with 1 SCC.



TaylorSeriesIte.fact(I)I: Graph of 22 nodes with 1 SCC.





----------------------------------------

(5) TerminationGraphToSCCProof (SOUND)
Splitted TerminationGraph to 6 SCCss.
----------------------------------------

(6)
Complex Obligation (AND)

----------------------------------------

(7)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.fact(I)I
SCC calls the following helper methods: 
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(8) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 11 IRulesP rules:
f6328_0_fact_Load(EOS(STATIC_6328), i1040, i1042, i1042) -> f6332_0_fact_GT(EOS(STATIC_6332), i1040, i1042, i1042, i1040) :|: TRUE
f6332_0_fact_GT(EOS(STATIC_6332), i1040, i1042, i1042, i1040) -> f6337_0_fact_GT(EOS(STATIC_6337), i1040, i1042, i1042, i1040) :|: i1042 <= i1040
f6337_0_fact_GT(EOS(STATIC_6337), i1040, i1042, i1042, i1040) -> f6342_0_fact_Load(EOS(STATIC_6342), i1040, i1042) :|: i1042 <= i1040
f6342_0_fact_Load(EOS(STATIC_6342), i1040, i1042) -> f6346_0_fact_Load(EOS(STATIC_6346), i1040, i1042) :|: TRUE
f6346_0_fact_Load(EOS(STATIC_6346), i1040, i1042) -> f6348_0_fact_IntArithmetic(EOS(STATIC_6348), i1040, i1042, i1042) :|: TRUE
f6348_0_fact_IntArithmetic(EOS(STATIC_6348), i1040, i1042, i1042) -> f6349_0_fact_Store(EOS(STATIC_6349), i1040, i1042) :|: i1042 >= 1
f6349_0_fact_Store(EOS(STATIC_6349), i1040, i1042) -> f6351_0_fact_Inc(EOS(STATIC_6351), i1040, i1042) :|: TRUE
f6351_0_fact_Inc(EOS(STATIC_6351), i1040, i1042) -> f6354_0_fact_JMP(EOS(STATIC_6354), i1040, i1042 + 1) :|: TRUE
f6354_0_fact_JMP(EOS(STATIC_6354), i1040, i1083) -> f6357_0_fact_Load(EOS(STATIC_6357), i1040, i1083) :|: TRUE
f6357_0_fact_Load(EOS(STATIC_6357), i1040, i1083) -> f6324_0_fact_Load(EOS(STATIC_6324), i1040, i1083) :|: TRUE
f6324_0_fact_Load(EOS(STATIC_6324), i1040, i1042) -> f6328_0_fact_Load(EOS(STATIC_6328), i1040, i1042, i1042) :|: TRUE
Combined rules. Obtained 1 IRulesP rules:
f6328_0_fact_Load(EOS(STATIC_6328), i1040:0, i1042:0, i1042:0) -> f6328_0_fact_Load(EOS(STATIC_6328), i1040:0, i1042:0 + 1, i1042:0 + 1) :|: i1042:0 <= i1040:0 && i1042:0 > 0
Filtered constant ground arguments:
   f6328_0_fact_Load(x1, x2, x3, x4) -> f6328_0_fact_Load(x2, x3, x4)
   EOS(x1) -> EOS
Filtered duplicate arguments:
   f6328_0_fact_Load(x1, x2, x3) -> f6328_0_fact_Load(x1, x3)
Finished conversion. Obtained 1 rules.P rules:
f6328_0_fact_Load(i1040:0, i1042:0) -> f6328_0_fact_Load(i1040:0, i1042:0 + 1) :|: i1042:0 <= i1040:0 && i1042:0 > 0

----------------------------------------

(9)
Obligation:
Rules:
f6328_0_fact_Load(i1040:0, i1042:0) -> f6328_0_fact_Load(i1040:0, i1042:0 + 1) :|: i1042:0 <= i1040:0 && i1042:0 > 0

----------------------------------------

(10) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(11)
Obligation:
Rules:
f6328_0_fact_Load(i1040:0, i1042:0) -> f6328_0_fact_Load(i1040:0, arith) :|: i1042:0 <= i1040:0 && i1042:0 > 0 && arith = i1042:0 + 1

----------------------------------------

(12) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f6328_0_fact_Load(i1040:0, i1042:0) -> f6328_0_fact_Load(i1040:0, arith) :|: i1042:0 <= i1040:0 && i1042:0 > 0 && arith = i1042:0 + 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!
----------------------------------------

(13)
Obligation:

Termination digraph:
Nodes:
(1) f6328_0_fact_Load(i1040:0, i1042:0) -> f6328_0_fact_Load(i1040:0, arith) :|: i1042:0 <= i1040:0 && i1042:0 > 0 && arith = i1042:0 + 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!

----------------------------------------

(14) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(15)
Obligation:
Rules:
f6328_0_fact_Load(i1040:0:0, i1042:0:0) -> f6328_0_fact_Load(i1040:0:0, i1042:0:0 + 1) :|: i1042:0:0 <= i1040:0:0 && i1042:0:0 > 0

----------------------------------------

(16) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f6328_0_fact_Load(INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(17)
Obligation:
Rules:
f6328_0_fact_Load(i1040:0:0, i1042:0:0) -> f6328_0_fact_Load(i1040:0:0, c) :|: c = i1042:0:0 + 1 && (i1042:0:0 <= i1040:0:0 && i1042:0:0 > 0)

----------------------------------------

(18) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f6328_0_fact_Load(x, x1)] = x - x1

The following rules are decreasing:
f6328_0_fact_Load(i1040:0:0, i1042:0:0) -> f6328_0_fact_Load(i1040:0:0, c) :|: c = i1042:0:0 + 1 && (i1042:0:0 <= i1040:0:0 && i1042:0:0 > 0)
The following rules are bounded:
f6328_0_fact_Load(i1040:0:0, i1042:0:0) -> f6328_0_fact_Load(i1040:0:0, c) :|: c = i1042:0:0 + 1 && (i1042:0:0 <= i1040:0:0 && i1042:0:0 > 0)

----------------------------------------

(19)
YES

----------------------------------------

(20)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.power(II)I
SCC calls the following helper methods: 
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(21) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 11 IRulesP rules:
f6236_0_power_Load(EOS(STATIC_6236), i915, i917, i917) -> f6242_0_power_GT(EOS(STATIC_6242), i915, i917, i917, i915) :|: TRUE
f6242_0_power_GT(EOS(STATIC_6242), i915, i917, i917, i915) -> f6250_0_power_GT(EOS(STATIC_6250), i915, i917, i917, i915) :|: i917 <= i915
f6250_0_power_GT(EOS(STATIC_6250), i915, i917, i917, i915) -> f6256_0_power_Load(EOS(STATIC_6256), i915, i917) :|: i917 <= i915
f6256_0_power_Load(EOS(STATIC_6256), i915, i917) -> f6262_0_power_Load(EOS(STATIC_6262), i915, i917) :|: TRUE
f6262_0_power_Load(EOS(STATIC_6262), i915, i917) -> f6269_0_power_IntArithmetic(EOS(STATIC_6269), i915, i917) :|: TRUE
f6269_0_power_IntArithmetic(EOS(STATIC_6269), i915, i917) -> f6276_0_power_Store(EOS(STATIC_6276), i915, i917) :|: TRUE
f6276_0_power_Store(EOS(STATIC_6276), i915, i917) -> f6283_0_power_Inc(EOS(STATIC_6283), i915, i917) :|: TRUE
f6283_0_power_Inc(EOS(STATIC_6283), i915, i917) -> f6290_0_power_JMP(EOS(STATIC_6290), i915, i917 + 1) :|: TRUE
f6290_0_power_JMP(EOS(STATIC_6290), i915, i982) -> f6294_0_power_Load(EOS(STATIC_6294), i915, i982) :|: TRUE
f6294_0_power_Load(EOS(STATIC_6294), i915, i982) -> f6231_0_power_Load(EOS(STATIC_6231), i915, i982) :|: TRUE
f6231_0_power_Load(EOS(STATIC_6231), i915, i917) -> f6236_0_power_Load(EOS(STATIC_6236), i915, i917, i917) :|: TRUE
Combined rules. Obtained 1 IRulesP rules:
f6236_0_power_Load(EOS(STATIC_6236), i915:0, i917:0, i917:0) -> f6236_0_power_Load(EOS(STATIC_6236), i915:0, i917:0 + 1, i917:0 + 1) :|: i917:0 <= i915:0
Filtered constant ground arguments:
   f6236_0_power_Load(x1, x2, x3, x4) -> f6236_0_power_Load(x2, x3, x4)
   EOS(x1) -> EOS
Filtered duplicate arguments:
   f6236_0_power_Load(x1, x2, x3) -> f6236_0_power_Load(x1, x3)
Finished conversion. Obtained 1 rules.P rules:
f6236_0_power_Load(i915:0, i917:0) -> f6236_0_power_Load(i915:0, i917:0 + 1) :|: i917:0 <= i915:0

----------------------------------------

(22)
Obligation:
Rules:
f6236_0_power_Load(i915:0, i917:0) -> f6236_0_power_Load(i915:0, i917:0 + 1) :|: i917:0 <= i915:0

----------------------------------------

(23) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(24)
Obligation:
Rules:
f6236_0_power_Load(i915:0, i917:0) -> f6236_0_power_Load(i915:0, arith) :|: i917:0 <= i915:0 && arith = i917:0 + 1

----------------------------------------

(25) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f6236_0_power_Load(i915:0, i917:0) -> f6236_0_power_Load(i915:0, arith) :|: i917:0 <= i915:0 && arith = i917:0 + 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!
----------------------------------------

(26)
Obligation:

Termination digraph:
Nodes:
(1) f6236_0_power_Load(i915:0, i917:0) -> f6236_0_power_Load(i915:0, arith) :|: i917:0 <= i915:0 && arith = i917:0 + 1

Arcs:
(1) -> (1)

This digraph is fully evaluated!

----------------------------------------

(27) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(28)
Obligation:
Rules:
f6236_0_power_Load(i915:0:0, i917:0:0) -> f6236_0_power_Load(i915:0:0, i917:0:0 + 1) :|: i917:0:0 <= i915:0:0

----------------------------------------

(29) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f6236_0_power_Load(INTEGER, INTEGER)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(30)
Obligation:
Rules:
f6236_0_power_Load(i915:0:0, i917:0:0) -> f6236_0_power_Load(i915:0:0, c) :|: c = i917:0:0 + 1 && i917:0:0 <= i915:0:0

----------------------------------------

(31) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f6236_0_power_Load(x, x1)] = x - x1

The following rules are decreasing:
f6236_0_power_Load(i915:0:0, i917:0:0) -> f6236_0_power_Load(i915:0:0, c) :|: c = i917:0:0 + 1 && i917:0:0 <= i915:0:0
The following rules are bounded:
f6236_0_power_Load(i915:0:0, i917:0:0) -> f6236_0_power_Load(i915:0:0, c) :|: c = i917:0:0 + 1 && i917:0:0 <= i915:0:0

----------------------------------------

(32)
YES

----------------------------------------

(33)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.exp(II)I
SCC calls the following helper methods: TaylorSeriesIte.power(II)I, TaylorSeriesIte.fact(I)I
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(34) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 26 IRulesP rules:
f6088_0_exp_Load(EOS(STATIC_6088), i702, i67, i702, i67, i704, i704) -> f6089_0_exp_GT(EOS(STATIC_6089), i702, i67, i702, i67, i704, i704, i67) :|: TRUE
f6089_0_exp_GT(EOS(STATIC_6089), i702, i67, i702, i67, i704, i704, i67) -> f6092_0_exp_GT(EOS(STATIC_6092), i702, i67, i702, i67, i704, i704, i67) :|: i704 <= i67
f6092_0_exp_GT(EOS(STATIC_6092), i702, i67, i702, i67, i704, i704, i67) -> f6095_0_exp_Load(EOS(STATIC_6095), i702, i67, i702, i67, i704) :|: i704 <= i67
f6095_0_exp_Load(EOS(STATIC_6095), i702, i67, i702, i67, i704) -> f6098_0_exp_Load(EOS(STATIC_6098), i702, i67, i702, i67, i704) :|: TRUE
f6098_0_exp_Load(EOS(STATIC_6098), i702, i67, i702, i67, i704) -> f6101_0_exp_Load(EOS(STATIC_6101), i702, i67, i702, i67, i704, i702) :|: TRUE
f6101_0_exp_Load(EOS(STATIC_6101), i702, i67, i702, i67, i704, i702) -> f6103_0_exp_InvokeMethod(EOS(STATIC_6103), i702, i67, i702, i67, i704, i702, i704) :|: TRUE
f6103_0_exp_InvokeMethod(EOS(STATIC_6103), i702, i67, i702, i67, i704, i702, i704) -> f6106_0_power_ConstantStackPush(EOS(STATIC_6106), i702, i704, i702, i704) :|: i702 >= 1 && i67 < i702 && i704 <= i67
f6103_0_exp_InvokeMethod(EOS(STATIC_6103), i702, i67, i702, i67, i704, i702, i704) -> f6106_1_power_ConstantStackPush(EOS(STATIC_6106), i702, i67, i702, i67, i704, i702, i704) :|: i702 >= 1 && i67 < i702 && i704 <= i67
f6106_0_power_ConstantStackPush(EOS(STATIC_6106), i702, i704, i702, i704) -> f6511_0_power_ConstantStackPush(EOS(STATIC_6511), i702, i704, i702, i704) :|: TRUE
f6282_0_power_Return(EOS(STATIC_6282), i966, i67, i966, i67, i968, i964) -> f6163_0_power_Return(EOS(STATIC_6163), i966, i67, i966, i67, i968, i964) :|: TRUE
f6163_0_power_Return(EOS(STATIC_6163), i826, i67, i826, i67, i827, i825) -> f6168_0_exp_Load(EOS(STATIC_6168), i826, i67, i826, i67, i827, i825) :|: TRUE
f6168_0_exp_Load(EOS(STATIC_6168), i826, i67, i826, i67, i827, i825) -> f6173_0_exp_InvokeMethod(EOS(STATIC_6173), i826, i67, i826, i67, i827, i825, i827) :|: TRUE
f6173_0_exp_InvokeMethod(EOS(STATIC_6173), i826, i67, i826, i67, i827, i825, i827) -> f6179_0_fact_ConstantStackPush(EOS(STATIC_6179), i827, i827) :|: i826 >= 1 && i826 > i67 && i827 <= i67
f6173_0_exp_InvokeMethod(EOS(STATIC_6173), i826, i67, i826, i67, i827, i825, i827) -> f6179_1_fact_ConstantStackPush(EOS(STATIC_6179), i826, i67, i826, i67, i827, i825, i827) :|: i826 >= 1 && i826 > i67 && i827 <= i67
f6179_0_fact_ConstantStackPush(EOS(STATIC_6179), i827, i827) -> f6529_0_fact_ConstantStackPush(EOS(STATIC_6529), i827, i827) :|: TRUE
f6350_0_fact_Return(EOS(STATIC_6350), i826, i67, i826, i67, i1055, i825, i1053) -> f6316_0_fact_Return(EOS(STATIC_6316), i826, i67, i826, i67, i1055, i825, i1053) :|: TRUE
f6316_0_fact_Return(EOS(STATIC_6316), i826, i67, i826, i67, i1014, i825, i1013) -> f6318_0_exp_IntArithmetic(EOS(STATIC_6318), i826, i67, i826, i67, i1014, i825, i1013) :|: TRUE
f6318_0_exp_IntArithmetic(EOS(STATIC_6318), i826, i67, i826, i67, i1014, i825, i1013) -> f6322_0_exp_IntArithmetic(EOS(STATIC_6322), i826, i67, i826, i67, i1014) :|: i1038 = i825 / i1013 && i1013 >= 1
f6322_0_exp_IntArithmetic(EOS(STATIC_6322), i826, i67, i826, i67, i1014) -> f6327_0_exp_Store(EOS(STATIC_6327), i826, i67, i826, i67, i1014) :|: TRUE
f6327_0_exp_Store(EOS(STATIC_6327), i826, i67, i826, i67, i1014) -> f6331_0_exp_Inc(EOS(STATIC_6331), i826, i67, i826, i67, i1014) :|: TRUE
f6331_0_exp_Inc(EOS(STATIC_6331), i826, i67, i826, i67, i1014) -> f6335_0_exp_JMP(EOS(STATIC_6335), i826, i67, i826, i67, i1014 + 1) :|: TRUE
f6335_0_exp_JMP(EOS(STATIC_6335), i826, i67, i826, i67, i1048) -> f6340_0_exp_Load(EOS(STATIC_6340), i826, i67, i826, i67, i1048) :|: TRUE
f6340_0_exp_Load(EOS(STATIC_6340), i826, i67, i826, i67, i1048) -> f6087_0_exp_Load(EOS(STATIC_6087), i826, i67, i826, i67, i1048) :|: TRUE
f6087_0_exp_Load(EOS(STATIC_6087), i702, i67, i702, i67, i704) -> f6088_0_exp_Load(EOS(STATIC_6088), i702, i67, i702, i67, i704, i704) :|: TRUE
f6106_1_power_ConstantStackPush(EOS(STATIC_6106), i966, i67, i966, i67, i968, i966, i968) -> f6282_0_power_Return(EOS(STATIC_6282), i966, i67, i966, i67, i968, i964) :|: TRUE
f6179_1_fact_ConstantStackPush(EOS(STATIC_6179), i826, i67, i826, i67, i1055, i825, i1055) -> f6350_0_fact_Return(EOS(STATIC_6350), i826, i67, i826, i67, i1055, i825, i1053) :|: TRUE
Combined rules. Obtained 4 IRulesP rules:
f6350_0_fact_Return(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i1053:0 > 0 && i67:0 >= i1055:0 + 1 && i826:0 > i67:0 && i826:0 > 0
f6350_0_fact_Return'(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0 + 1, i964:0, i1053:1) :|: i1053:0 > 0 && i67:0 >= i1055:0 + 1 && i826:0 > i67:0 && i826:0 > 0 && i825:0 - i1053:0 * div < i1053:0 && i825:0 - i1053:0 * div + i1053:0 > 0
Removed following non-SCC rules:
f6350_0_fact_Return'(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6511_0_power_ConstantStackPush(EOS(STATIC_6511), i826:0, i1055:0 + 1, i826:0, i1055:0 + 1) :|: i1053:0 > 0 && i67:0 >= i1055:0 + 1 && i826:0 > i67:0 && i826:0 > 0 && i825:0 - i1053:0 * div < i1053:0 && i825:0 - i1053:0 * div + i1053:0 > 0
f6350_0_fact_Return'(EOS(STATIC_6350), i826:0, i67:0, i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6529_0_fact_ConstantStackPush(EOS(STATIC_6529), i1055:0 + 1, i1055:0 + 1) :|: i1053:0 > 0 && i67:0 >= i1055:0 + 1 && i826:0 > i67:0 && i826:0 > 0 && i825:0 - i1053:0 * div < i1053:0 && i825:0 - i1053:0 * div + i1053:0 > 0
Filtered constant ground arguments:
   f6350_0_fact_Return(x1, x2, x3, x4, x5, x6, x7, x8) -> f6350_0_fact_Return(x2, x3, x4, x5, x6, x7, x8)
   f6350_0_fact_Return'(x1, x2, x3, x4, x5, x6, x7, x8) -> f6350_0_fact_Return'(x2, x3, x4, x5, x6, x7, x8)
   EOS(x1) -> EOS
Filtered duplicate arguments:
   f6350_0_fact_Return(x1, x2, x3, x4, x5, x6, x7) -> f6350_0_fact_Return(x3, x4, x5, x6, x7)
   f6350_0_fact_Return'(x1, x2, x3, x4, x5, x6, x7) -> f6350_0_fact_Return'(x3, x4, x5, x6, x7)
Finished conversion. Obtained 2 rules.P rules:
f6350_0_fact_Return(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > 0 && i826:0 > i67:0
f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return(i826:0, i67:0, i1055:0 + 1, i964:0, i1053:1) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > i67:0 && i826:0 > 0 && i825:0 - i1053:0 * div + i1053:0 > 0 && i825:0 - i1053:0 * div < i1053:0

----------------------------------------

(35)
Obligation:
Rules:
f6350_0_fact_Return(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > 0 && i826:0 > i67:0
f6350_0_fact_Return'(x, x1, x2, x3, x4) -> f6350_0_fact_Return(x, x1, x2 + 1, x5, x6) :|: x1 >= x2 + 1 && x4 > 0 && x > x1 && x > 0 && x3 - x4 * x7 + x4 > 0 && x3 - x4 * x7 < x4

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(36) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(37)
Obligation:
Rules:
f6350_0_fact_Return(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > 0 && i826:0 > i67:0
f6350_0_fact_Return'(x, x1, x2, x3, x4) -> f6350_0_fact_Return(x, x1, arith, x5, x6) :|: x1 >= x2 + 1 && x4 > 0 && x > x1 && x > 0 && x3 - x4 * x7 + x4 > 0 && x3 - x4 * x7 < x4 && arith = x2 + 1

----------------------------------------

(38) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f6350_0_fact_Return(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > 0 && i826:0 > i67:0
(2) f6350_0_fact_Return'(x, x1, x2, x3, x4) -> f6350_0_fact_Return(x, x1, arith, x5, x6) :|: x1 >= x2 + 1 && x4 > 0 && x > x1 && x > 0 && x3 - x4 * x7 + x4 > 0 && x3 - x4 * x7 < x4 && arith = x2 + 1

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!
----------------------------------------

(39)
Obligation:

Termination digraph:
Nodes:
(1) f6350_0_fact_Return(i826:0, i67:0, i1055:0, i825:0, i1053:0) -> f6350_0_fact_Return'(i826:0, i67:0, i1055:0, i825:0, i1053:0) :|: i67:0 >= i1055:0 + 1 && i1053:0 > 0 && i826:0 > 0 && i826:0 > i67:0
(2) f6350_0_fact_Return'(x, x1, x2, x3, x4) -> f6350_0_fact_Return(x, x1, arith, x5, x6) :|: x1 >= x2 + 1 && x4 > 0 && x > x1 && x > 0 && x3 - x4 * x7 + x4 > 0 && x3 - x4 * x7 < x4 && arith = x2 + 1

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!

----------------------------------------

(40) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(41)
Obligation:
Rules:
f6350_0_fact_Return(i826:0:0, i67:0:0, i1055:0:0, i825:0:0, i1053:0:0) -> f6350_0_fact_Return(i826:0:0, i67:0:0, i1055:0:0 + 1, x5:0, x6:0) :|: i825:0:0 - i1053:0:0 * x7:0 < i1053:0:0 && i825:0:0 - i1053:0:0 * x7:0 + i1053:0:0 > 0 && i826:0:0 > 0 && i826:0:0 > i67:0:0 && i1053:0:0 > 0 && i67:0:0 >= i1055:0:0 + 1

----------------------------------------

(42) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f6350_0_fact_Return(INTEGER, INTEGER, INTEGER, VARIABLE, VARIABLE)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(43)
Obligation:
Rules:
f6350_0_fact_Return(i826:0:0, i67:0:0, i1055:0:0, i825:0:0, i1053:0:0) -> f6350_0_fact_Return(i826:0:0, i67:0:0, c, x5:0, x6:0) :|: c = i1055:0:0 + 1 && (i825:0:0 - i1053:0:0 * x7:0 < i1053:0:0 && i825:0:0 - i1053:0:0 * x7:0 + i1053:0:0 > 0 && i826:0:0 > 0 && i826:0:0 > i67:0:0 && i1053:0:0 > 0 && i67:0:0 >= i1055:0:0 + 1)

----------------------------------------

(44) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f6350_0_fact_Return ] = -1*f6350_0_fact_Return_3 + f6350_0_fact_Return_2

The following rules are decreasing:
f6350_0_fact_Return(i826:0:0, i67:0:0, i1055:0:0, i825:0:0, i1053:0:0) -> f6350_0_fact_Return(i826:0:0, i67:0:0, c, x5:0, x6:0) :|: c = i1055:0:0 + 1 && (i825:0:0 - i1053:0:0 * x7:0 < i1053:0:0 && i825:0:0 - i1053:0:0 * x7:0 + i1053:0:0 > 0 && i826:0:0 > 0 && i826:0:0 > i67:0:0 && i1053:0:0 > 0 && i67:0:0 >= i1055:0:0 + 1)

The following rules are bounded:
f6350_0_fact_Return(i826:0:0, i67:0:0, i1055:0:0, i825:0:0, i1053:0:0) -> f6350_0_fact_Return(i826:0:0, i67:0:0, c, x5:0, x6:0) :|: c = i1055:0:0 + 1 && (i825:0:0 - i1053:0:0 * x7:0 < i1053:0:0 && i825:0:0 - i1053:0:0 * x7:0 + i1053:0:0 > 0 && i826:0:0 > 0 && i826:0:0 > i67:0:0 && i1053:0:0 > 0 && i67:0:0 >= i1055:0:0 + 1)


----------------------------------------

(45)
YES

----------------------------------------

(46)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.cos(II)I
SCC calls the following helper methods: TaylorSeriesIte.power(II)I, TaylorSeriesIte.fact(I)I
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(47) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 34 IRulesP rules:
f6383_0_cos_Load(EOS(STATIC_6383), i1126, i1127, i1126, i1127, i1129, i1129) -> f6385_0_cos_GT(EOS(STATIC_6385), i1126, i1127, i1126, i1127, i1129, i1129, i1127) :|: TRUE
f6385_0_cos_GT(EOS(STATIC_6385), i1126, i1127, i1126, i1127, i1129, i1129, i1127) -> f6389_0_cos_GT(EOS(STATIC_6389), i1126, i1127, i1126, i1127, i1129, i1129, i1127) :|: i1129 <= i1127
f6389_0_cos_GT(EOS(STATIC_6389), i1126, i1127, i1126, i1127, i1129, i1129, i1127) -> f6393_0_cos_Load(EOS(STATIC_6393), i1126, i1127, i1126, i1127, i1129) :|: i1129 <= i1127
f6393_0_cos_Load(EOS(STATIC_6393), i1126, i1127, i1126, i1127, i1129) -> f6397_0_cos_ConstantStackPush(EOS(STATIC_6397), i1126, i1127, i1126, i1127, i1129) :|: TRUE
f6397_0_cos_ConstantStackPush(EOS(STATIC_6397), i1126, i1127, i1126, i1127, i1129) -> f6401_0_cos_Load(EOS(STATIC_6401), i1126, i1127, i1126, i1127, i1129, -1) :|: TRUE
f6401_0_cos_Load(EOS(STATIC_6401), i1126, i1127, i1126, i1127, i1129, matching1) -> f6403_0_cos_ConstantStackPush(EOS(STATIC_6403), i1126, i1127, i1126, i1127, i1129, -1, i1129) :|: TRUE && matching1 = -1
f6403_0_cos_ConstantStackPush(EOS(STATIC_6403), i1126, i1127, i1126, i1127, i1129, matching1, i1129) -> f6407_0_cos_IntArithmetic(EOS(STATIC_6407), i1126, i1127, i1126, i1127, i1129, -1, i1129, 2) :|: TRUE && matching1 = -1
f6407_0_cos_IntArithmetic(EOS(STATIC_6407), i1126, i1127, i1126, i1127, i1129, matching1, i1129, matching2) -> f6409_0_cos_InvokeMethod(EOS(STATIC_6409), i1126, i1127, i1126, i1127, i1129, -1, i1158) :|: i1158 = i1129 / 2 && i1129 > 1 && i1158 < i1129 && matching1 = -1 && matching2 = 2
f6409_0_cos_InvokeMethod(EOS(STATIC_6409), i1126, i1127, i1126, i1127, i1129, matching1, i1158) -> f6411_0_power_ConstantStackPush(EOS(STATIC_6411), -1, i1158, -1, i1158) :|: i1126 >= 1 && i1127 > 1 && i1158 >= 1 && i1129 > 1 && i1127 < i1126 && i1129 <= i1127 && matching1 = -1
f6409_0_cos_InvokeMethod(EOS(STATIC_6409), i1126, i1127, i1126, i1127, i1129, matching1, i1158) -> f6411_1_power_ConstantStackPush(EOS(STATIC_6411), i1126, i1127, i1126, i1127, i1129, -1, i1158) :|: i1126 >= 1 && i1127 > 1 && i1158 >= 1 && i1129 > 1 && i1127 < i1126 && i1129 <= i1127 && matching1 = -1
f6411_0_power_ConstantStackPush(EOS(STATIC_6411), matching1, i1158, matching2, i1158) -> f6663_0_power_ConstantStackPush(EOS(STATIC_6663), -1, i1158, -1, i1158) :|: TRUE && matching1 = -1 && matching2 = -1
f6415_0_power_Return(EOS(STATIC_6415), i1126, i1127, i1126, i1127, i1129, i1176) -> f6417_0_cos_Load(EOS(STATIC_6417), i1126, i1127, i1126, i1127, i1129, i1176) :|: TRUE
f6417_0_cos_Load(EOS(STATIC_6417), i1126, i1127, i1126, i1127, i1129, i1176) -> f6419_0_cos_Load(EOS(STATIC_6419), i1126, i1127, i1126, i1127, i1129, i1176, i1126) :|: TRUE
f6419_0_cos_Load(EOS(STATIC_6419), i1126, i1127, i1126, i1127, i1129, i1176, i1126) -> f6421_0_cos_InvokeMethod(EOS(STATIC_6421), i1126, i1127, i1126, i1127, i1129, i1176, i1126, i1129) :|: TRUE
f6421_0_cos_InvokeMethod(EOS(STATIC_6421), i1126, i1127, i1126, i1127, i1129, i1176, i1126, i1129) -> f6423_0_power_ConstantStackPush(EOS(STATIC_6423), i1126, i1129, i1126, i1129) :|: i1126 >= 1 && i1127 > 1 && i1129 > 1 && i1127 < i1126 && i1129 <= i1127
f6421_0_cos_InvokeMethod(EOS(STATIC_6421), i1126, i1127, i1126, i1127, i1129, i1176, i1126, i1129) -> f6423_1_power_ConstantStackPush(EOS(STATIC_6423), i1126, i1127, i1126, i1127, i1129, i1176, i1126, i1129) :|: i1126 >= 1 && i1127 > 1 && i1129 > 1 && i1127 < i1126 && i1129 <= i1127
f6423_0_power_ConstantStackPush(EOS(STATIC_6423), i1126, i1129, i1126, i1129) -> f6681_0_power_ConstantStackPush(EOS(STATIC_6681), i1126, i1129, i1126, i1129) :|: TRUE
f6427_0_power_Return(EOS(STATIC_6427), i1200, i1127, i1200, i1127, i1202, i1176, i1198) -> f6429_0_cos_IntArithmetic(EOS(STATIC_6429), i1200, i1127, i1200, i1127, i1202, i1176, i1198) :|: TRUE
f6429_0_cos_IntArithmetic(EOS(STATIC_6429), i1200, i1127, i1200, i1127, i1202, i1176, i1198) -> f6431_0_cos_Load(EOS(STATIC_6431), i1200, i1127, i1200, i1127, i1202) :|: TRUE
f6431_0_cos_Load(EOS(STATIC_6431), i1200, i1127, i1200, i1127, i1202) -> f6433_0_cos_InvokeMethod(EOS(STATIC_6433), i1200, i1127, i1200, i1127, i1202, i1202) :|: TRUE
f6433_0_cos_InvokeMethod(EOS(STATIC_6433), i1200, i1127, i1200, i1127, i1202, i1202) -> f6435_0_fact_ConstantStackPush(EOS(STATIC_6435), i1202, i1202) :|: i1200 >= 1 && i1127 > 1 && i1202 > 1 && i1127 < i1200 && i1202 <= i1127
f6433_0_cos_InvokeMethod(EOS(STATIC_6433), i1200, i1127, i1200, i1127, i1202, i1202) -> f6435_1_fact_ConstantStackPush(EOS(STATIC_6435), i1200, i1127, i1200, i1127, i1202, i1202) :|: i1200 >= 1 && i1127 > 1 && i1202 > 1 && i1127 < i1200 && i1202 <= i1127
f6435_0_fact_ConstantStackPush(EOS(STATIC_6435), i1202, i1202) -> f6699_0_fact_ConstantStackPush(EOS(STATIC_6699), i1202, i1202) :|: TRUE
f6439_0_fact_Return(EOS(STATIC_6439), i1200, i1127, i1200, i1127, i1218, i1216) -> f6441_0_cos_IntArithmetic(EOS(STATIC_6441), i1200, i1127, i1200, i1127, i1218, i1216) :|: TRUE
f6441_0_cos_IntArithmetic(EOS(STATIC_6441), i1200, i1127, i1200, i1127, i1218, i1216) -> f6443_0_cos_IntArithmetic(EOS(STATIC_6443), i1200, i1127, i1200, i1127, i1218) :|: i1220 = i1204 / i1216 && i1216 >= 1
f6443_0_cos_IntArithmetic(EOS(STATIC_6443), i1200, i1127, i1200, i1127, i1218) -> f6445_0_cos_Store(EOS(STATIC_6445), i1200, i1127, i1200, i1127, i1218) :|: TRUE
f6445_0_cos_Store(EOS(STATIC_6445), i1200, i1127, i1200, i1127, i1218) -> f6447_0_cos_Inc(EOS(STATIC_6447), i1200, i1127, i1200, i1127, i1218) :|: TRUE
f6447_0_cos_Inc(EOS(STATIC_6447), i1200, i1127, i1200, i1127, i1218) -> f6449_0_cos_JMP(EOS(STATIC_6449), i1200, i1127, i1200, i1127, i1218 + 2) :|: TRUE
f6449_0_cos_JMP(EOS(STATIC_6449), i1200, i1127, i1200, i1127, i1224) -> f6451_0_cos_Load(EOS(STATIC_6451), i1200, i1127, i1200, i1127, i1224) :|: TRUE
f6451_0_cos_Load(EOS(STATIC_6451), i1200, i1127, i1200, i1127, i1224) -> f6381_0_cos_Load(EOS(STATIC_6381), i1200, i1127, i1200, i1127, i1224) :|: TRUE
f6381_0_cos_Load(EOS(STATIC_6381), i1126, i1127, i1126, i1127, i1129) -> f6383_0_cos_Load(EOS(STATIC_6383), i1126, i1127, i1126, i1127, i1129, i1129) :|: TRUE
f6411_1_power_ConstantStackPush(EOS(STATIC_6411), i1126, i1127, i1126, i1127, i1129, matching1, i1158) -> f6415_0_power_Return(EOS(STATIC_6415), i1126, i1127, i1126, i1127, i1129, i1176) :|: TRUE && matching1 = -1
f6423_1_power_ConstantStackPush(EOS(STATIC_6423), i1200, i1127, i1200, i1127, i1202, i1176, i1200, i1202) -> f6427_0_power_Return(EOS(STATIC_6427), i1200, i1127, i1200, i1127, i1202, i1176, i1198) :|: TRUE
f6435_1_fact_ConstantStackPush(EOS(STATIC_6435), i1200, i1127, i1200, i1127, i1218, i1218) -> f6439_0_fact_Return(EOS(STATIC_6439), i1200, i1127, i1200, i1127, i1218, i1216) :|: TRUE
Combined rules. Obtained 5 IRulesP rules:
f6439_0_fact_Return(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) -> f6439_0_fact_Return'(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) :|: i1218:0 + 2 <= i1127:0 && i1127:0 > 1 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0
f6439_0_fact_Return'(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) -> f6439_0_fact_Return(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0 + 2, i1216:1) :|: i1218:0 + 2 <= i1127:0 && i1127:0 > 1 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0 && i1204:0 - i1216:0 * div + i1216:0 > 0 && i1216:0 > i1204:0 - i1216:0 * div && i1218:0 + 2 - 2 * div1 < 2 && i1218:0 + 2 - 2 * div1 > -2
Removed following non-SCC rules:
f6439_0_fact_Return'(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) -> f6699_0_fact_ConstantStackPush(EOS(STATIC_6699), i1218:0 + 2, i1218:0 + 2) :|: i1218:0 + 2 <= i1127:0 && i1127:0 > 1 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0 && i1204:0 - i1216:0 * div + i1216:0 > 0 && i1216:0 > i1204:0 - i1216:0 * div && i1218:0 + 2 - 2 * div1 < 2 && i1218:0 + 2 - 2 * div1 > -2
f6439_0_fact_Return'(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) -> f6681_0_power_ConstantStackPush(EOS(STATIC_6681), i1200:0, i1218:0 + 2, i1200:0, i1218:0 + 2) :|: i1218:0 + 2 <= i1127:0 && i1127:0 > 1 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0 && i1204:0 - i1216:0 * div + i1216:0 > 0 && i1216:0 > i1204:0 - i1216:0 * div && i1218:0 + 2 - 2 * div1 < 2 && i1218:0 + 2 - 2 * div1 > -2
f6439_0_fact_Return'(EOS(STATIC_6439), i1200:0, i1127:0, i1200:0, i1127:0, i1218:0, i1216:0) -> f6663_0_power_ConstantStackPush(EOS(STATIC_6663), -1, div1, -1, div1) :|: i1218:0 + 2 <= i1127:0 && i1127:0 > 1 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0 && i1204:0 - i1216:0 * div + i1216:0 > 0 && i1216:0 > i1204:0 - i1216:0 * div && i1218:0 + 2 - 2 * div1 < 2 && i1218:0 + 2 - 2 * div1 > -2
Filtered constant ground arguments:
   f6439_0_fact_Return(x1, x2, x3, x4, x5, x6, x7) -> f6439_0_fact_Return(x2, x3, x4, x5, x6, x7)
   f6439_0_fact_Return'(x1, x2, x3, x4, x5, x6, x7) -> f6439_0_fact_Return'(x2, x3, x4, x5, x6, x7)
   EOS(x1) -> EOS
Filtered duplicate arguments:
   f6439_0_fact_Return(x1, x2, x3, x4, x5, x6) -> f6439_0_fact_Return(x3, x4, x5, x6)
   f6439_0_fact_Return'(x1, x2, x3, x4, x5, x6) -> f6439_0_fact_Return'(x3, x4, x5, x6)
Finished conversion. Obtained 2 rules.P rules:
f6439_0_fact_Return(i1200:0, i1127:0, i1218:0, i1216:0) -> f6439_0_fact_Return'(i1200:0, i1127:0, i1218:0, i1216:0) :|: i1127:0 > 1 && i1218:0 + 2 <= i1127:0 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1200:0 > i1127:0 && i1218:0 + 2 > div1
f6439_0_fact_Return'(i1200:0, i1127:0, i1218:0, i1216:0) -> f6439_0_fact_Return(i1200:0, i1127:0, i1218:0 + 2, i1216:1) :|: i1127:0 > 1 && i1218:0 + 2 <= i1127:0 && i1200:0 > 0 && i1216:0 > 0 && div1 > 0 && i1218:0 > -1 && i1218:0 + 2 > div1 && i1200:0 > i1127:0 && i1204:0 - i1216:0 * div + i1216:0 > 0 && i1216:0 > i1204:0 - i1216:0 * div && i1218:0 + 2 - 2 * div1 > -2 && i1218:0 + 2 - 2 * div1 < 2

----------------------------------------

(48)
Obligation:
Rules:
f6439_0_fact_Return(x, x1, x2, x3) -> f6439_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
f6439_0_fact_Return'(x5, x6, x7, x8) -> f6439_0_fact_Return(x5, x6, x7 + 2, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2

----------------------------------------

(49) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(50)
Obligation:
Rules:
f6439_0_fact_Return(x, x1, x2, x3) -> f6439_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
f6439_0_fact_Return'(x5, x6, x7, x8) -> f6439_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

----------------------------------------

(51) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f6439_0_fact_Return(x, x1, x2, x3) -> f6439_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
(2) f6439_0_fact_Return'(x5, x6, x7, x8) -> f6439_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!
----------------------------------------

(52)
Obligation:

Termination digraph:
Nodes:
(1) f6439_0_fact_Return(x, x1, x2, x3) -> f6439_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
(2) f6439_0_fact_Return'(x5, x6, x7, x8) -> f6439_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!

----------------------------------------

(53) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(54)
Obligation:
Rules:
f6439_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6439_0_fact_Return(x:0, x1:0, x2:0 + 2, x9:0) :|: x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1

----------------------------------------

(55) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f6439_0_fact_Return(INTEGER, INTEGER, INTEGER, VARIABLE)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(56)
Obligation:
Rules:
f6439_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6439_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)

----------------------------------------

(57) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f6439_0_fact_Return(x, x1, x2, x3)] = -1 + x1 - x2

The following rules are decreasing:
f6439_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6439_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)
The following rules are bounded:
f6439_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6439_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)

----------------------------------------

(58)
YES

----------------------------------------

(59)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.sin(II)I
SCC calls the following helper methods: TaylorSeriesIte.power(II)I, TaylorSeriesIte.fact(I)I
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

----------------------------------------

(60) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 34 IRulesP rules:
f6382_0_sin_Load(EOS(STATIC_6382), i1112, i1113, i1112, i1113, i1115, i1115) -> f6384_0_sin_GT(EOS(STATIC_6384), i1112, i1113, i1112, i1113, i1115, i1115, i1113) :|: TRUE
f6384_0_sin_GT(EOS(STATIC_6384), i1112, i1113, i1112, i1113, i1115, i1115, i1113) -> f6387_0_sin_GT(EOS(STATIC_6387), i1112, i1113, i1112, i1113, i1115, i1115, i1113) :|: i1115 <= i1113
f6387_0_sin_GT(EOS(STATIC_6387), i1112, i1113, i1112, i1113, i1115, i1115, i1113) -> f6391_0_sin_Load(EOS(STATIC_6391), i1112, i1113, i1112, i1113, i1115) :|: i1115 <= i1113
f6391_0_sin_Load(EOS(STATIC_6391), i1112, i1113, i1112, i1113, i1115) -> f6395_0_sin_ConstantStackPush(EOS(STATIC_6395), i1112, i1113, i1112, i1113, i1115) :|: TRUE
f6395_0_sin_ConstantStackPush(EOS(STATIC_6395), i1112, i1113, i1112, i1113, i1115) -> f6399_0_sin_Load(EOS(STATIC_6399), i1112, i1113, i1112, i1113, i1115, -1) :|: TRUE
f6399_0_sin_Load(EOS(STATIC_6399), i1112, i1113, i1112, i1113, i1115, matching1) -> f6402_0_sin_ConstantStackPush(EOS(STATIC_6402), i1112, i1113, i1112, i1113, i1115, -1, i1115) :|: TRUE && matching1 = -1
f6402_0_sin_ConstantStackPush(EOS(STATIC_6402), i1112, i1113, i1112, i1113, i1115, matching1, i1115) -> f6405_0_sin_IntArithmetic(EOS(STATIC_6405), i1112, i1113, i1112, i1113, i1115, -1, i1115, 2) :|: TRUE && matching1 = -1
f6405_0_sin_IntArithmetic(EOS(STATIC_6405), i1112, i1113, i1112, i1113, i1115, matching1, i1115, matching2) -> f6408_0_sin_InvokeMethod(EOS(STATIC_6408), i1112, i1113, i1112, i1113, i1115, -1, i1157) :|: i1157 = i1115 / 2 && i1115 > 1 && i1157 < i1115 && matching1 = -1 && matching2 = 2
f6408_0_sin_InvokeMethod(EOS(STATIC_6408), i1112, i1113, i1112, i1113, i1115, matching1, i1157) -> f6410_0_power_ConstantStackPush(EOS(STATIC_6410), -1, i1157, -1, i1157) :|: i1112 >= 1 && i1113 > 1 && i1157 >= 1 && i1115 > 1 && i1113 < i1112 && i1115 <= i1113 && matching1 = -1
f6408_0_sin_InvokeMethod(EOS(STATIC_6408), i1112, i1113, i1112, i1113, i1115, matching1, i1157) -> f6410_1_power_ConstantStackPush(EOS(STATIC_6410), i1112, i1113, i1112, i1113, i1115, -1, i1157) :|: i1112 >= 1 && i1113 > 1 && i1157 >= 1 && i1115 > 1 && i1113 < i1112 && i1115 <= i1113 && matching1 = -1
f6410_0_power_ConstantStackPush(EOS(STATIC_6410), matching1, i1157, matching2, i1157) -> f6831_0_power_ConstantStackPush(EOS(STATIC_6831), -1, i1157, -1, i1157) :|: TRUE && matching1 = -1 && matching2 = -1
f6414_0_power_Return(EOS(STATIC_6414), i1112, i1113, i1112, i1113, i1115, i1166) -> f6416_0_sin_Load(EOS(STATIC_6416), i1112, i1113, i1112, i1113, i1115, i1166) :|: TRUE
f6416_0_sin_Load(EOS(STATIC_6416), i1112, i1113, i1112, i1113, i1115, i1166) -> f6418_0_sin_Load(EOS(STATIC_6418), i1112, i1113, i1112, i1113, i1115, i1166, i1112) :|: TRUE
f6418_0_sin_Load(EOS(STATIC_6418), i1112, i1113, i1112, i1113, i1115, i1166, i1112) -> f6420_0_sin_InvokeMethod(EOS(STATIC_6420), i1112, i1113, i1112, i1113, i1115, i1166, i1112, i1115) :|: TRUE
f6420_0_sin_InvokeMethod(EOS(STATIC_6420), i1112, i1113, i1112, i1113, i1115, i1166, i1112, i1115) -> f6422_0_power_ConstantStackPush(EOS(STATIC_6422), i1112, i1115, i1112, i1115) :|: i1112 >= 1 && i1113 > 1 && i1115 > 1 && i1113 < i1112 && i1115 <= i1113
f6420_0_sin_InvokeMethod(EOS(STATIC_6420), i1112, i1113, i1112, i1113, i1115, i1166, i1112, i1115) -> f6422_1_power_ConstantStackPush(EOS(STATIC_6422), i1112, i1113, i1112, i1113, i1115, i1166, i1112, i1115) :|: i1112 >= 1 && i1113 > 1 && i1115 > 1 && i1113 < i1112 && i1115 <= i1113
f6422_0_power_ConstantStackPush(EOS(STATIC_6422), i1112, i1115, i1112, i1115) -> f6849_0_power_ConstantStackPush(EOS(STATIC_6849), i1112, i1115, i1112, i1115) :|: TRUE
f6426_0_power_Return(EOS(STATIC_6426), i1188, i1113, i1188, i1113, i1190, i1166, i1186) -> f6428_0_sin_IntArithmetic(EOS(STATIC_6428), i1188, i1113, i1188, i1113, i1190, i1166, i1186) :|: TRUE
f6428_0_sin_IntArithmetic(EOS(STATIC_6428), i1188, i1113, i1188, i1113, i1190, i1166, i1186) -> f6430_0_sin_Load(EOS(STATIC_6430), i1188, i1113, i1188, i1113, i1190) :|: TRUE
f6430_0_sin_Load(EOS(STATIC_6430), i1188, i1113, i1188, i1113, i1190) -> f6432_0_sin_InvokeMethod(EOS(STATIC_6432), i1188, i1113, i1188, i1113, i1190, i1190) :|: TRUE
f6432_0_sin_InvokeMethod(EOS(STATIC_6432), i1188, i1113, i1188, i1113, i1190, i1190) -> f6434_0_fact_ConstantStackPush(EOS(STATIC_6434), i1190, i1190) :|: i1188 >= 1 && i1113 > 1 && i1190 > 1 && i1113 < i1188 && i1190 <= i1113
f6432_0_sin_InvokeMethod(EOS(STATIC_6432), i1188, i1113, i1188, i1113, i1190, i1190) -> f6434_1_fact_ConstantStackPush(EOS(STATIC_6434), i1188, i1113, i1188, i1113, i1190, i1190) :|: i1188 >= 1 && i1113 > 1 && i1190 > 1 && i1113 < i1188 && i1190 <= i1113
f6434_0_fact_ConstantStackPush(EOS(STATIC_6434), i1190, i1190) -> f6867_0_fact_ConstantStackPush(EOS(STATIC_6867), i1190, i1190) :|: TRUE
f6438_0_fact_Return(EOS(STATIC_6438), i1188, i1113, i1188, i1113, i1211, i1209) -> f6440_0_sin_IntArithmetic(EOS(STATIC_6440), i1188, i1113, i1188, i1113, i1211, i1209) :|: TRUE
f6440_0_sin_IntArithmetic(EOS(STATIC_6440), i1188, i1113, i1188, i1113, i1211, i1209) -> f6442_0_sin_IntArithmetic(EOS(STATIC_6442), i1188, i1113, i1188, i1113, i1211) :|: i1219 = i1203 / i1209 && i1209 >= 1
f6442_0_sin_IntArithmetic(EOS(STATIC_6442), i1188, i1113, i1188, i1113, i1211) -> f6444_0_sin_Store(EOS(STATIC_6444), i1188, i1113, i1188, i1113, i1211) :|: TRUE
f6444_0_sin_Store(EOS(STATIC_6444), i1188, i1113, i1188, i1113, i1211) -> f6446_0_sin_Inc(EOS(STATIC_6446), i1188, i1113, i1188, i1113, i1211) :|: TRUE
f6446_0_sin_Inc(EOS(STATIC_6446), i1188, i1113, i1188, i1113, i1211) -> f6448_0_sin_JMP(EOS(STATIC_6448), i1188, i1113, i1188, i1113, i1211 + 2) :|: TRUE
f6448_0_sin_JMP(EOS(STATIC_6448), i1188, i1113, i1188, i1113, i1223) -> f6450_0_sin_Load(EOS(STATIC_6450), i1188, i1113, i1188, i1113, i1223) :|: TRUE
f6450_0_sin_Load(EOS(STATIC_6450), i1188, i1113, i1188, i1113, i1223) -> f6379_0_sin_Load(EOS(STATIC_6379), i1188, i1113, i1188, i1113, i1223) :|: TRUE
f6379_0_sin_Load(EOS(STATIC_6379), i1112, i1113, i1112, i1113, i1115) -> f6382_0_sin_Load(EOS(STATIC_6382), i1112, i1113, i1112, i1113, i1115, i1115) :|: TRUE
f6410_1_power_ConstantStackPush(EOS(STATIC_6410), i1112, i1113, i1112, i1113, i1115, matching1, i1157) -> f6414_0_power_Return(EOS(STATIC_6414), i1112, i1113, i1112, i1113, i1115, i1166) :|: TRUE && matching1 = -1
f6422_1_power_ConstantStackPush(EOS(STATIC_6422), i1188, i1113, i1188, i1113, i1190, i1166, i1188, i1190) -> f6426_0_power_Return(EOS(STATIC_6426), i1188, i1113, i1188, i1113, i1190, i1166, i1186) :|: TRUE
f6434_1_fact_ConstantStackPush(EOS(STATIC_6434), i1188, i1113, i1188, i1113, i1211, i1211) -> f6438_0_fact_Return(EOS(STATIC_6438), i1188, i1113, i1188, i1113, i1211, i1209) :|: TRUE
Combined rules. Obtained 5 IRulesP rules:
f6438_0_fact_Return(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) -> f6438_0_fact_Return'(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) :|: i1211:0 + 2 <= i1113:0 && i1113:0 > 1 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0
f6438_0_fact_Return'(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) -> f6438_0_fact_Return(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0 + 2, i1209:1) :|: i1211:0 + 2 <= i1113:0 && i1113:0 > 1 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0 && i1203:0 - i1209:0 * div + i1209:0 > 0 && i1209:0 > i1203:0 - i1209:0 * div && i1211:0 + 2 - 2 * div1 < 2 && i1211:0 + 2 - 2 * div1 > -2
Removed following non-SCC rules:
f6438_0_fact_Return'(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) -> f6849_0_power_ConstantStackPush(EOS(STATIC_6849), i1188:0, i1211:0 + 2, i1188:0, i1211:0 + 2) :|: i1211:0 + 2 <= i1113:0 && i1113:0 > 1 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0 && i1203:0 - i1209:0 * div + i1209:0 > 0 && i1209:0 > i1203:0 - i1209:0 * div && i1211:0 + 2 - 2 * div1 < 2 && i1211:0 + 2 - 2 * div1 > -2
f6438_0_fact_Return'(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) -> f6831_0_power_ConstantStackPush(EOS(STATIC_6831), -1, div1, -1, div1) :|: i1211:0 + 2 <= i1113:0 && i1113:0 > 1 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0 && i1203:0 - i1209:0 * div + i1209:0 > 0 && i1209:0 > i1203:0 - i1209:0 * div && i1211:0 + 2 - 2 * div1 < 2 && i1211:0 + 2 - 2 * div1 > -2
f6438_0_fact_Return'(EOS(STATIC_6438), i1188:0, i1113:0, i1188:0, i1113:0, i1211:0, i1209:0) -> f6867_0_fact_ConstantStackPush(EOS(STATIC_6867), i1211:0 + 2, i1211:0 + 2) :|: i1211:0 + 2 <= i1113:0 && i1113:0 > 1 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0 && i1203:0 - i1209:0 * div + i1209:0 > 0 && i1209:0 > i1203:0 - i1209:0 * div && i1211:0 + 2 - 2 * div1 < 2 && i1211:0 + 2 - 2 * div1 > -2
Filtered constant ground arguments:
   f6438_0_fact_Return(x1, x2, x3, x4, x5, x6, x7) -> f6438_0_fact_Return(x2, x3, x4, x5, x6, x7)
   f6438_0_fact_Return'(x1, x2, x3, x4, x5, x6, x7) -> f6438_0_fact_Return'(x2, x3, x4, x5, x6, x7)
   EOS(x1) -> EOS
Filtered duplicate arguments:
   f6438_0_fact_Return(x1, x2, x3, x4, x5, x6) -> f6438_0_fact_Return(x3, x4, x5, x6)
   f6438_0_fact_Return'(x1, x2, x3, x4, x5, x6) -> f6438_0_fact_Return'(x3, x4, x5, x6)
Finished conversion. Obtained 2 rules.P rules:
f6438_0_fact_Return(i1188:0, i1113:0, i1211:0, i1209:0) -> f6438_0_fact_Return'(i1188:0, i1113:0, i1211:0, i1209:0) :|: i1113:0 > 1 && i1211:0 + 2 <= i1113:0 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1188:0 > i1113:0 && i1211:0 + 2 > div1
f6438_0_fact_Return'(i1188:0, i1113:0, i1211:0, i1209:0) -> f6438_0_fact_Return(i1188:0, i1113:0, i1211:0 + 2, i1209:1) :|: i1113:0 > 1 && i1211:0 + 2 <= i1113:0 && i1188:0 > 0 && i1209:0 > 0 && div1 > 0 && i1211:0 > -1 && i1211:0 + 2 > div1 && i1188:0 > i1113:0 && i1203:0 - i1209:0 * div + i1209:0 > 0 && i1209:0 > i1203:0 - i1209:0 * div && i1211:0 + 2 - 2 * div1 > -2 && i1211:0 + 2 - 2 * div1 < 2

----------------------------------------

(61)
Obligation:
Rules:
f6438_0_fact_Return(x, x1, x2, x3) -> f6438_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
f6438_0_fact_Return'(x5, x6, x7, x8) -> f6438_0_fact_Return(x5, x6, x7 + 2, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2

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(62) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(63)
Obligation:
Rules:
f6438_0_fact_Return(x, x1, x2, x3) -> f6438_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
f6438_0_fact_Return'(x5, x6, x7, x8) -> f6438_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

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(64) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f6438_0_fact_Return(x, x1, x2, x3) -> f6438_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
(2) f6438_0_fact_Return'(x5, x6, x7, x8) -> f6438_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!
----------------------------------------

(65)
Obligation:

Termination digraph:
Nodes:
(1) f6438_0_fact_Return(x, x1, x2, x3) -> f6438_0_fact_Return'(x, x1, x2, x3) :|: x1 > 1 && x2 + 2 <= x1 && x > 0 && x3 > 0 && x4 > 0 && x2 > -1 && x > x1 && x2 + 2 > x4
(2) f6438_0_fact_Return'(x5, x6, x7, x8) -> f6438_0_fact_Return(x5, x6, arith, x9) :|: x6 > 1 && x7 + 2 <= x6 && x5 > 0 && x8 > 0 && x10 > 0 && x7 > -1 && x7 + 2 > x10 && x5 > x6 && x11 - x8 * x12 + x8 > 0 && x8 > x11 - x8 * x12 && x7 + 2 - 2 * x10 > -2 && x7 + 2 - 2 * x10 < 2 && arith = x7 + 2

Arcs:
(1) -> (2)
(2) -> (1)

This digraph is fully evaluated!

----------------------------------------

(66) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(67)
Obligation:
Rules:
f6438_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6438_0_fact_Return(x:0, x1:0, x2:0 + 2, x9:0) :|: x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1

----------------------------------------

(68) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f6438_0_fact_Return(INTEGER, INTEGER, INTEGER, VARIABLE)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(69)
Obligation:
Rules:
f6438_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6438_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)

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(70) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f6438_0_fact_Return(x, x1, x2, x3)] = -1 + x1 - x2

The following rules are decreasing:
f6438_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6438_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)
The following rules are bounded:
f6438_0_fact_Return(x:0, x1:0, x2:0, x3:0) -> f6438_0_fact_Return(x:0, x1:0, c, x9:0) :|: c = x2:0 + 2 && (x4:0 < x2:0 + 2 && x2:0 + 2 - 2 * x10:0 < 2 && x2:0 + 2 - 2 * x10:0 > -2 && x4:0 > 0 && x3:0 > x11:0 - x3:0 * x12:0 && x11:0 - x3:0 * x12:0 + x3:0 > 0 && x:0 > x1:0 && x2:0 + 2 > x10:0 && x2:0 > -1 && x10:0 > 0 && x3:0 > 0 && x:0 > 0 && x2:0 + 2 <= x1:0 && x1:0 > 1)

----------------------------------------

(71)
YES

----------------------------------------

(72)
Obligation:
SCC of termination graph based on JBC Program.
SCC contains nodes from the following methods: TaylorSeriesIte.main([Ljava/lang/String;)V
SCC calls the following helper methods: TaylorSeriesIte.exp(II)I, TaylorSeriesIte.cos(II)I, TaylorSeriesIte.sin(II)I, TaylorSeriesIte.power(II)I, TaylorSeriesIte.fact(I)I
Performed SCC analyses:
*Used field analysis yielded the following read fields:

*Marker field analysis yielded the following relations that could be markers:

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(73) SCCToIRSProof (SOUND)
Transformed FIGraph SCCs to intTRSs. Log: 
Generated rules. Obtained 81 IRulesP rules:
f988_0_main_Load(EOS(STATIC_988), java.lang.Object(o12sub), java.lang.Object(o12sub), i91, i91) -> f1023_0_main_ArrayLength(EOS(STATIC_1023), java.lang.Object(o12sub), java.lang.Object(o12sub), i91, i91, java.lang.Object(o12sub)) :|: TRUE
f1023_0_main_ArrayLength(EOS(STATIC_1023), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, java.lang.Object(ARRAY(i101))) -> f1031_0_main_ArrayLength(EOS(STATIC_1031), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, java.lang.Object(ARRAY(i101))) :|: i101 >= 0
f1031_0_main_ArrayLength(EOS(STATIC_1031), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, java.lang.Object(ARRAY(i101))) -> f1041_0_main_GE(EOS(STATIC_1041), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, i101) :|: i101 >= 0
f1041_0_main_GE(EOS(STATIC_1041), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, i101) -> f1054_0_main_GE(EOS(STATIC_1054), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, i101) :|: i91 < i101
f1054_0_main_GE(EOS(STATIC_1054), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, i101) -> f1109_0_main_Load(EOS(STATIC_1109), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: i91 < i101
f1109_0_main_Load(EOS(STATIC_1109), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f1464_0_main_ConstantStackPush(EOS(STATIC_1464), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) :|: TRUE
f1464_0_main_ConstantStackPush(EOS(STATIC_1464), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) -> f1493_0_main_IntArithmetic(EOS(STATIC_1493), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, 2) :|: TRUE
f1493_0_main_IntArithmetic(EOS(STATIC_1493), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, matching1) -> f1815_0_main_NE(EOS(STATIC_1815), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91 % 2) :|: TRUE && matching1 = 2
f1815_0_main_NE(EOS(STATIC_1815), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1824_0_main_NE(EOS(STATIC_1824), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 1) :|: TRUE && matching1 = 1
f1815_0_main_NE(EOS(STATIC_1815), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1825_0_main_NE(EOS(STATIC_1825), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE && matching1 = 0
f1824_0_main_NE(EOS(STATIC_1824), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1833_0_main_Load(EOS(STATIC_1833), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: 1 > 0 && matching1 = 1
f1833_0_main_Load(EOS(STATIC_1833), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f1844_0_main_ConstantStackPush(EOS(STATIC_1844), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) :|: TRUE
f1844_0_main_ConstantStackPush(EOS(STATIC_1844), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) -> f1880_0_main_IntArithmetic(EOS(STATIC_1880), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, 3) :|: TRUE
f1880_0_main_IntArithmetic(EOS(STATIC_1880), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, matching1) -> f1892_0_main_NE(EOS(STATIC_1892), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91 % 3) :|: TRUE && matching1 = 3
f1892_0_main_NE(EOS(STATIC_1892), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i165) -> f1899_0_main_NE(EOS(STATIC_1899), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i165) :|: TRUE
f1892_0_main_NE(EOS(STATIC_1892), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1900_0_main_NE(EOS(STATIC_1900), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE && matching1 = 0
f1899_0_main_NE(EOS(STATIC_1899), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i165) -> f1963_0_main_Load(EOS(STATIC_1963), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: i165 > 0
f1963_0_main_Load(EOS(STATIC_1963), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f1980_0_main_ConstantStackPush(EOS(STATIC_1980), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) :|: TRUE
f1980_0_main_ConstantStackPush(EOS(STATIC_1980), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91) -> f1996_0_main_IntArithmetic(EOS(STATIC_1996), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, 5) :|: TRUE
f1996_0_main_IntArithmetic(EOS(STATIC_1996), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91, matching1) -> f2021_0_main_NE(EOS(STATIC_2021), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i91 % 5) :|: TRUE && matching1 = 5
f2021_0_main_NE(EOS(STATIC_2021), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i190) -> f2074_0_main_NE(EOS(STATIC_2074), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i190) :|: TRUE
f2021_0_main_NE(EOS(STATIC_2021), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f2075_0_main_NE(EOS(STATIC_2075), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE && matching1 = 0
f2074_0_main_NE(EOS(STATIC_2074), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i190) -> f2397_0_main_ConstantStackPush(EOS(STATIC_2397), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: i190 > 0
f2397_0_main_ConstantStackPush(EOS(STATIC_2397), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f2801_0_main_Store(EOS(STATIC_2801), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE
f2801_0_main_Store(EOS(STATIC_2801), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f3024_0_main_Load(EOS(STATIC_3024), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE && matching1 = 0
f3024_0_main_Load(EOS(STATIC_3024), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f3220_0_main_Load(EOS(STATIC_3220), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, 0) :|: TRUE && matching1 = 0
f3220_0_main_Load(EOS(STATIC_3220), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i250) -> f3446_0_main_Load(EOS(STATIC_3446), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i250) :|: TRUE
f3446_0_main_Load(EOS(STATIC_3446), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i282) -> f3744_0_main_Load(EOS(STATIC_3744), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i282) :|: TRUE
f3744_0_main_Load(EOS(STATIC_3744), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i320) -> f3868_0_main_ConstantStackPush(EOS(STATIC_3868), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i320, i320) :|: TRUE
f3868_0_main_ConstantStackPush(EOS(STATIC_3868), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i320, i320) -> f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i320, i320, 100) :|: TRUE
f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340, i340, matching1) -> f3931_0_main_GE(EOS(STATIC_3931), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340, i340, 100) :|: TRUE && matching1 = 100
f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i341, i341, matching1) -> f3932_0_main_GE(EOS(STATIC_3932), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i341, i341, 100) :|: TRUE && matching1 = 100
f3931_0_main_GE(EOS(STATIC_3931), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340, i340, matching1) -> f3936_0_main_Inc(EOS(STATIC_3936), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340) :|: i340 < 100 && matching1 = 100
f3936_0_main_Inc(EOS(STATIC_3936), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340) -> f4016_0_main_JMP(EOS(STATIC_4016), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i340 + 1) :|: TRUE
f4016_0_main_JMP(EOS(STATIC_4016), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i377) -> f4454_0_main_Load(EOS(STATIC_4454), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i377) :|: TRUE
f4454_0_main_Load(EOS(STATIC_4454), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i377) -> f3744_0_main_Load(EOS(STATIC_3744), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i377) :|: TRUE
f3932_0_main_GE(EOS(STATIC_3932), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i341, i341, matching1) -> f3939_0_main_Inc(EOS(STATIC_3939), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: i341 >= 100 && matching1 = 100
f3939_0_main_Inc(EOS(STATIC_3939), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f3861_0_main_Inc(EOS(STATIC_3861), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: TRUE
f3861_0_main_Inc(EOS(STATIC_3861), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i301) -> f3909_0_main_JMP(EOS(STATIC_3909), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i301 + 1) :|: TRUE
f3909_0_main_JMP(EOS(STATIC_3909), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i333) -> f3930_0_main_Load(EOS(STATIC_3930), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i333) :|: TRUE
f3930_0_main_Load(EOS(STATIC_3930), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i333) -> f976_0_main_Load(EOS(STATIC_976), java.lang.Object(ARRAY(i299)), java.lang.Object(ARRAY(i299)), i333) :|: TRUE
f976_0_main_Load(EOS(STATIC_976), java.lang.Object(o12sub), java.lang.Object(o12sub), i91) -> f988_0_main_Load(EOS(STATIC_988), java.lang.Object(o12sub), java.lang.Object(o12sub), i91, i91) :|: TRUE
f2075_0_main_NE(EOS(STATIC_2075), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f2398_0_main_Load(EOS(STATIC_2398), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: TRUE && matching1 = 0
f2398_0_main_Load(EOS(STATIC_2398), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f2829_0_main_ArrayLength(EOS(STATIC_2829), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) :|: TRUE
f2829_0_main_ArrayLength(EOS(STATIC_2829), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) -> f3025_0_main_Load(EOS(STATIC_3025), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) :|: i101 >= 0
f3025_0_main_Load(EOS(STATIC_3025), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) -> f3035_0_main_InvokeMethod(EOS(STATIC_3035), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: TRUE
f3035_0_main_InvokeMethod(EOS(STATIC_3035), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f3067_0_exp_ConstantStackPush(EOS(STATIC_3067), i101, i91, i101, i91) :|: i101 >= 1 && i91 < i101
f3035_0_main_InvokeMethod(EOS(STATIC_3035), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f3067_1_exp_ConstantStackPush(EOS(STATIC_3067), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: i101 >= 1 && i91 < i101
f3067_0_exp_ConstantStackPush(EOS(STATIC_3067), i101, i91, i101, i91) -> f7075_0_exp_ConstantStackPush(EOS(STATIC_7075), i101, i91, i101, i91) :|: TRUE
f6105_0_exp_Return(EOS(STATIC_6105), java.lang.Object(ARRAY(i724)), java.lang.Object(ARRAY(i724)), i726, i722) -> f5524_0_exp_Return(EOS(STATIC_5524), java.lang.Object(ARRAY(i724)), java.lang.Object(ARRAY(i724)), i726, i722) :|: TRUE
f5524_0_exp_Return(EOS(STATIC_5524), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568, i566) -> f5537_0_main_StackPop(EOS(STATIC_5537), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568, i566) :|: TRUE
f5537_0_main_StackPop(EOS(STATIC_5537), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568, i566) -> f5665_0_main_JMP(EOS(STATIC_5665), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568) :|: TRUE
f5665_0_main_JMP(EOS(STATIC_5665), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568) -> f5694_0_main_Inc(EOS(STATIC_5694), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568) :|: TRUE
f5694_0_main_Inc(EOS(STATIC_5694), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568) -> f3861_0_main_Inc(EOS(STATIC_3861), java.lang.Object(ARRAY(i567)), java.lang.Object(ARRAY(i567)), i568) :|: TRUE
f1900_0_main_NE(EOS(STATIC_1900), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1964_0_main_Load(EOS(STATIC_1964), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: TRUE && matching1 = 0
f1964_0_main_Load(EOS(STATIC_1964), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f1983_0_main_ArrayLength(EOS(STATIC_1983), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) :|: TRUE
f1983_0_main_ArrayLength(EOS(STATIC_1983), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) -> f1999_0_main_Load(EOS(STATIC_1999), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) :|: i101 >= 0
f1999_0_main_Load(EOS(STATIC_1999), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) -> f2023_0_main_InvokeMethod(EOS(STATIC_2023), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: TRUE
f2023_0_main_InvokeMethod(EOS(STATIC_2023), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f2077_0_cos_ConstantStackPush(EOS(STATIC_2077), i101, i91, i101, i91) :|: i101 >= 1 && i91 < i101
f2023_0_main_InvokeMethod(EOS(STATIC_2023), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f2077_1_cos_ConstantStackPush(EOS(STATIC_2077), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: i101 >= 1 && i91 < i101
f2077_0_cos_ConstantStackPush(EOS(STATIC_2077), i101, i91, i101, i91) -> f7105_0_cos_ConstantStackPush(EOS(STATIC_7105), i101, i91, i101, i91) :|: TRUE
f6406_0_cos_Return(EOS(STATIC_6406), java.lang.Object(ARRAY(i1148)), java.lang.Object(ARRAY(i1148)), i1150) -> f5899_0_cos_Return(EOS(STATIC_5899), java.lang.Object(ARRAY(i1148)), java.lang.Object(ARRAY(i1148)), i1150) :|: TRUE
f5899_0_cos_Return(EOS(STATIC_5899), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) -> f5913_0_main_StackPop(EOS(STATIC_5913), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) :|: TRUE
f5913_0_main_StackPop(EOS(STATIC_5913), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) -> f5928_0_main_JMP(EOS(STATIC_5928), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) :|: TRUE
f5928_0_main_JMP(EOS(STATIC_5928), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) -> f5975_0_main_Inc(EOS(STATIC_5975), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) :|: TRUE
f5975_0_main_Inc(EOS(STATIC_5975), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) -> f3861_0_main_Inc(EOS(STATIC_3861), java.lang.Object(ARRAY(i649)), java.lang.Object(ARRAY(i649)), i650) :|: TRUE
f1825_0_main_NE(EOS(STATIC_1825), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, matching1) -> f1837_0_main_Load(EOS(STATIC_1837), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) :|: TRUE && matching1 = 0
f1837_0_main_Load(EOS(STATIC_1837), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91) -> f1847_0_main_ArrayLength(EOS(STATIC_1847), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) :|: TRUE
f1847_0_main_ArrayLength(EOS(STATIC_1847), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, java.lang.Object(ARRAY(i101))) -> f1882_0_main_Load(EOS(STATIC_1882), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) :|: i101 >= 0
f1882_0_main_Load(EOS(STATIC_1882), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101) -> f1893_0_main_InvokeMethod(EOS(STATIC_1893), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: TRUE
f1893_0_main_InvokeMethod(EOS(STATIC_1893), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f1903_0_sin_Load(EOS(STATIC_1903), i101, i91, i101, i91) :|: i101 >= 1 && i91 < i101
f1893_0_main_InvokeMethod(EOS(STATIC_1893), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) -> f1903_1_sin_Load(EOS(STATIC_1903), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i91, i101, i91) :|: i101 >= 1 && i91 < i101
f1903_0_sin_Load(EOS(STATIC_1903), i101, i91, i101, i91) -> f7135_0_sin_Load(EOS(STATIC_7135), i101, i91, i101, i91) :|: TRUE
f6404_0_sin_Return(EOS(STATIC_6404), java.lang.Object(ARRAY(i1141)), java.lang.Object(ARRAY(i1141)), i1143, i1139) -> f5870_0_sin_Return(EOS(STATIC_5870), java.lang.Object(ARRAY(i1141)), java.lang.Object(ARRAY(i1141)), i1143, i1139) :|: TRUE
f5870_0_sin_Return(EOS(STATIC_5870), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645, i643) -> f5908_0_main_StackPop(EOS(STATIC_5908), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645, i643) :|: TRUE
f5908_0_main_StackPop(EOS(STATIC_5908), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645, i643) -> f5924_0_main_JMP(EOS(STATIC_5924), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645) :|: TRUE
f5924_0_main_JMP(EOS(STATIC_5924), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645) -> f5961_0_main_Inc(EOS(STATIC_5961), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645) :|: TRUE
f5961_0_main_Inc(EOS(STATIC_5961), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645) -> f3861_0_main_Inc(EOS(STATIC_3861), java.lang.Object(ARRAY(i644)), java.lang.Object(ARRAY(i644)), i645) :|: TRUE
f3067_1_exp_ConstantStackPush(EOS(STATIC_3067), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i726, i724, i726) -> f6105_0_exp_Return(EOS(STATIC_6105), java.lang.Object(ARRAY(i724)), java.lang.Object(ARRAY(i724)), i726, i722) :|: TRUE
f2077_1_cos_ConstantStackPush(EOS(STATIC_2077), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i1150, i1148, i1150) -> f6406_0_cos_Return(EOS(STATIC_6406), java.lang.Object(ARRAY(i1148)), java.lang.Object(ARRAY(i1148)), i1150) :|: TRUE
f1903_1_sin_Load(EOS(STATIC_1903), java.lang.Object(ARRAY(i101)), java.lang.Object(ARRAY(i101)), i1143, i1141, i1143) -> f6404_0_sin_Return(EOS(STATIC_6404), java.lang.Object(ARRAY(i1141)), java.lang.Object(ARRAY(i1141)), i1143, i1139) :|: TRUE
Combined rules. Obtained 13 IRulesP rules:
f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i341:0, 100) -> f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i91:0 + 1) :|: i341:0 > 99
f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) :|: i101:0 > -1 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 5 * div2 > 0 && i91:0 - 3 * div1 > 0
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, 0, 0, 100) :|: i91:0 - 3 * div1 > 0 && i91:0 - 5 * div2 > 0 && i101:0 > -1 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 5 * div2 < 5 && i91:0 - 3 * div1 < 3
f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 0
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i91:0 + 1) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 0 && i91:0 - 2 * div < 2 && i91:0 - 2 * div > -2
f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i340:0, i340:0, 100) -> f3925_0_main_GE(EOS(STATIC_3925), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i340:0 + 1, i340:0 + 1, 100) :|: i340:0 < 100
f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 = 0
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i91:0 + 1) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 3 * div1 > -3
f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 > 0 && i91:0 - 5 * div2 = 0
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f988_0_main_Load(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i91:0 + 1) :|: i91:0 - 3 * div1 > 0 && i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 5 * div2 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 5 * div2 < 5 && i91:0 - 5 * div2 > -5
Removed following non-SCC rules:
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f7135_0_sin_Load(EOS(STATIC_7135), i101:0, i91:0, i101:0, i91:0) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 0 && i91:0 - 2 * div < 2 && i91:0 - 2 * div > -2
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f7105_0_cos_ConstantStackPush(EOS(STATIC_7105), i101:0, i91:0, i101:0, i91:0) :|: i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 3 * div1 > -3
f988_0_main_Load'(EOS(STATIC_988), java.lang.Object(ARRAY(i101:0)), java.lang.Object(ARRAY(i101:0)), i91:0, i91:0) -> f7075_0_exp_ConstantStackPush(EOS(STATIC_7075), i101:0, i91:0, i101:0, i91:0) :|: i91:0 - 3 * div1 > 0 && i101:0 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 5 * div2 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 5 * div2 < 5 && i91:0 - 5 * div2 > -5
Filtered constant ground arguments:
   f3925_0_main_GE(x1, x2, x3, x4, x5, x6, x7) -> f3925_0_main_GE(x2, x3, x4, x5, x6)
   f988_0_main_Load(x1, x2, x3, x4, x5) -> f988_0_main_Load(x2, x3, x4, x5)
   f988_0_main_Load'(x1, x2, x3, x4, x5) -> f988_0_main_Load'(x2, x3, x4, x5)
Filtered duplicate arguments:
   f3925_0_main_GE(x1, x2, x3, x4, x5) -> f3925_0_main_GE(x2, x3, x5)
   f988_0_main_Load(x1, x2, x3, x4) -> f988_0_main_Load(x2, x4)
   f988_0_main_Load'(x1, x2, x3, x4) -> f988_0_main_Load'(x2, x4)
Finished conversion. Obtained 10 rules.P rules:
f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i101:0) :|: i341:0 > 99
f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) :|: i91:0 < i101:0 && i101:0 > -1 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 > 0 && i91:0 - 5 * div2 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, 0, i101:0) :|: i91:0 - 5 * div2 > 0 && i91:0 - 3 * div1 > 0 && i101:0 > -1 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 5 * div2 < 5
f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) :|: i91:0 < i101:0 && i91:0 - 2 * div = 0 && i101:0 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i101:0) :|: i91:0 < i101:0 && i101:0 > 0 && i91:0 - 2 * div = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2
f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i340:0, i101:0) -> f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i340:0 + 1, i101:0) :|: i340:0 < 100
f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) :|: i91:0 < i101:0 && i101:0 > 0 && i91:0 - 3 * div1 = 0 && i91:0 - 2 * div = 1
f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i101:0) :|: i91:0 < i101:0 && i101:0 > 0 && i91:0 - 2 * div = 1 && i91:0 - 3 * div1 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 > -3 && i91:0 - 3 * div1 < 3
f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) :|: i91:0 < i101:0 && i101:0 > 0 && i91:0 - 2 * div = 1 && i91:0 - 5 * div2 = 0 && i91:0 - 3 * div1 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(i101:0)), i91:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i101:0) :|: i101:0 > 0 && i91:0 - 3 * div1 > 0 && i91:0 < i101:0 && i91:0 - 2 * div = 1 && i91:0 - 5 * div2 = 0 && i91:0 - 2 * div > -2 && i91:0 - 2 * div < 2 && i91:0 - 3 * div1 < 3 && i91:0 - 5 * div2 > -5 && i91:0 - 5 * div2 < 5

----------------------------------------

(74)
Obligation:
Rules:
f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), i91:0 + 1, i101:0) :|: i341:0 > 99
f988_0_main_Load(java.lang.Object(ARRAY(x)), x1, x) -> f988_0_main_Load'(java.lang.Object(ARRAY(x)), x1, x) :|: x1 < x && x > -1 && x1 - 2 * x2 = 1 && x1 - 3 * x3 > 0 && x1 - 5 * x4 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x5)), x6, x5) -> f3925_0_main_GE(java.lang.Object(ARRAY(x5)), x6, 0, x5) :|: x6 - 5 * x7 > 0 && x6 - 3 * x8 > 0 && x5 > -1 && x6 < x5 && x6 - 2 * x9 = 1 && x6 - 2 * x9 > -2 && x6 - 2 * x9 < 2 && x6 - 3 * x8 < 3 && x6 - 5 * x7 < 5
f988_0_main_Load(java.lang.Object(ARRAY(x10)), x11, x10) -> f988_0_main_Load'(java.lang.Object(ARRAY(x10)), x11, x10) :|: x11 < x10 && x11 - 2 * x12 = 0 && x10 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x13)), x14, x13) -> f988_0_main_Load(java.lang.Object(ARRAY(x13)), x14 + 1, x13) :|: x14 < x13 && x13 > 0 && x14 - 2 * x15 = 0 && x14 - 2 * x15 > -2 && x14 - 2 * x15 < 2
f3925_0_main_GE(java.lang.Object(ARRAY(x16)), x17, x18, x16) -> f3925_0_main_GE(java.lang.Object(ARRAY(x16)), x17, x18 + 1, x16) :|: x18 < 100
f988_0_main_Load(java.lang.Object(ARRAY(x19)), x20, x19) -> f988_0_main_Load'(java.lang.Object(ARRAY(x19)), x20, x19) :|: x20 < x19 && x19 > 0 && x20 - 3 * x21 = 0 && x20 - 2 * x22 = 1
f988_0_main_Load'(java.lang.Object(ARRAY(x23)), x24, x23) -> f988_0_main_Load(java.lang.Object(ARRAY(x23)), x24 + 1, x23) :|: x24 < x23 && x23 > 0 && x24 - 2 * x25 = 1 && x24 - 3 * x26 = 0 && x24 - 2 * x25 > -2 && x24 - 2 * x25 < 2 && x24 - 3 * x26 > -3 && x24 - 3 * x26 < 3
f988_0_main_Load(java.lang.Object(ARRAY(x27)), x28, x27) -> f988_0_main_Load'(java.lang.Object(ARRAY(x27)), x28, x27) :|: x28 < x27 && x27 > 0 && x28 - 2 * x29 = 1 && x28 - 5 * x30 = 0 && x28 - 3 * x31 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x32)), x33, x32) -> f988_0_main_Load(java.lang.Object(ARRAY(x32)), x33 + 1, x32) :|: x32 > 0 && x33 - 3 * x34 > 0 && x33 < x32 && x33 - 2 * x35 = 1 && x33 - 5 * x36 = 0 && x33 - 2 * x35 > -2 && x33 - 2 * x35 < 2 && x33 - 3 * x34 < 3 && x33 - 5 * x36 > -5 && x33 - 5 * x36 < 5

----------------------------------------

(75) IRSFormatTransformerProof (EQUIVALENT)
Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
----------------------------------------

(76)
Obligation:
Rules:
f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), arith, i101:0) :|: i341:0 > 99 && arith = i91:0 + 1
f988_0_main_Load(java.lang.Object(ARRAY(x)), x1, x) -> f988_0_main_Load'(java.lang.Object(ARRAY(x)), x1, x) :|: x1 < x && x > -1 && x1 - 2 * x2 = 1 && x1 - 3 * x3 > 0 && x1 - 5 * x4 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x5)), x6, x5) -> f3925_0_main_GE(java.lang.Object(ARRAY(x5)), x6, 0, x5) :|: x6 - 5 * x7 > 0 && x6 - 3 * x8 > 0 && x5 > -1 && x6 < x5 && x6 - 2 * x9 = 1 && x6 - 2 * x9 > -2 && x6 - 2 * x9 < 2 && x6 - 3 * x8 < 3 && x6 - 5 * x7 < 5
f988_0_main_Load(java.lang.Object(ARRAY(x10)), x11, x10) -> f988_0_main_Load'(java.lang.Object(ARRAY(x10)), x11, x10) :|: x11 < x10 && x11 - 2 * x12 = 0 && x10 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x37)), x38, x37) -> f988_0_main_Load(java.lang.Object(ARRAY(x37)), x39, x37) :|: x38 < x37 && x37 > 0 && x38 - 2 * x40 = 0 && x38 - 2 * x40 > -2 && x38 - 2 * x40 < 2 && x39 = x38 + 1
f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x43, x41) -> f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x44, x41) :|: x43 < 100 && x44 = x43 + 1
f988_0_main_Load(java.lang.Object(ARRAY(x19)), x20, x19) -> f988_0_main_Load'(java.lang.Object(ARRAY(x19)), x20, x19) :|: x20 < x19 && x19 > 0 && x20 - 3 * x21 = 0 && x20 - 2 * x22 = 1
f988_0_main_Load'(java.lang.Object(ARRAY(x45)), x46, x45) -> f988_0_main_Load(java.lang.Object(ARRAY(x45)), x47, x45) :|: x46 < x45 && x45 > 0 && x46 - 2 * x48 = 1 && x46 - 3 * x49 = 0 && x46 - 2 * x48 > -2 && x46 - 2 * x48 < 2 && x46 - 3 * x49 > -3 && x46 - 3 * x49 < 3 && x47 = x46 + 1
f988_0_main_Load(java.lang.Object(ARRAY(x27)), x28, x27) -> f988_0_main_Load'(java.lang.Object(ARRAY(x27)), x28, x27) :|: x28 < x27 && x27 > 0 && x28 - 2 * x29 = 1 && x28 - 5 * x30 = 0 && x28 - 3 * x31 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x50)), x51, x50) -> f988_0_main_Load(java.lang.Object(ARRAY(x50)), x52, x50) :|: x50 > 0 && x51 - 3 * x53 > 0 && x51 < x50 && x51 - 2 * x54 = 1 && x51 - 5 * x55 = 0 && x51 - 2 * x54 > -2 && x51 - 2 * x54 < 2 && x51 - 3 * x53 < 3 && x51 - 5 * x55 > -5 && x51 - 5 * x55 < 5 && x52 = x51 + 1

----------------------------------------

(77) IRSwTTerminationDigraphProof (EQUIVALENT)
Constructed termination digraph!
Nodes:
(1) f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), arith, i101:0) :|: i341:0 > 99 && arith = i91:0 + 1
(2) f988_0_main_Load(java.lang.Object(ARRAY(x)), x1, x) -> f988_0_main_Load'(java.lang.Object(ARRAY(x)), x1, x) :|: x1 < x && x > -1 && x1 - 2 * x2 = 1 && x1 - 3 * x3 > 0 && x1 - 5 * x4 > 0
(3) f988_0_main_Load'(java.lang.Object(ARRAY(x5)), x6, x5) -> f3925_0_main_GE(java.lang.Object(ARRAY(x5)), x6, 0, x5) :|: x6 - 5 * x7 > 0 && x6 - 3 * x8 > 0 && x5 > -1 && x6 < x5 && x6 - 2 * x9 = 1 && x6 - 2 * x9 > -2 && x6 - 2 * x9 < 2 && x6 - 3 * x8 < 3 && x6 - 5 * x7 < 5
(4) f988_0_main_Load(java.lang.Object(ARRAY(x10)), x11, x10) -> f988_0_main_Load'(java.lang.Object(ARRAY(x10)), x11, x10) :|: x11 < x10 && x11 - 2 * x12 = 0 && x10 > 0
(5) f988_0_main_Load'(java.lang.Object(ARRAY(x37)), x38, x37) -> f988_0_main_Load(java.lang.Object(ARRAY(x37)), x39, x37) :|: x38 < x37 && x37 > 0 && x38 - 2 * x40 = 0 && x38 - 2 * x40 > -2 && x38 - 2 * x40 < 2 && x39 = x38 + 1
(6) f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x43, x41) -> f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x44, x41) :|: x43 < 100 && x44 = x43 + 1
(7) f988_0_main_Load(java.lang.Object(ARRAY(x19)), x20, x19) -> f988_0_main_Load'(java.lang.Object(ARRAY(x19)), x20, x19) :|: x20 < x19 && x19 > 0 && x20 - 3 * x21 = 0 && x20 - 2 * x22 = 1
(8) f988_0_main_Load'(java.lang.Object(ARRAY(x45)), x46, x45) -> f988_0_main_Load(java.lang.Object(ARRAY(x45)), x47, x45) :|: x46 < x45 && x45 > 0 && x46 - 2 * x48 = 1 && x46 - 3 * x49 = 0 && x46 - 2 * x48 > -2 && x46 - 2 * x48 < 2 && x46 - 3 * x49 > -3 && x46 - 3 * x49 < 3 && x47 = x46 + 1
(9) f988_0_main_Load(java.lang.Object(ARRAY(x27)), x28, x27) -> f988_0_main_Load'(java.lang.Object(ARRAY(x27)), x28, x27) :|: x28 < x27 && x27 > 0 && x28 - 2 * x29 = 1 && x28 - 5 * x30 = 0 && x28 - 3 * x31 > 0
(10) f988_0_main_Load'(java.lang.Object(ARRAY(x50)), x51, x50) -> f988_0_main_Load(java.lang.Object(ARRAY(x50)), x52, x50) :|: x50 > 0 && x51 - 3 * x53 > 0 && x51 < x50 && x51 - 2 * x54 = 1 && x51 - 5 * x55 = 0 && x51 - 2 * x54 > -2 && x51 - 2 * x54 < 2 && x51 - 3 * x53 < 3 && x51 - 5 * x55 > -5 && x51 - 5 * x55 < 5 && x52 = x51 + 1

Arcs:
(1) -> (2), (4), (7), (9)
(2) -> (3), (8), (10)
(3) -> (6)
(4) -> (5)
(5) -> (2), (7), (9)
(6) -> (1), (6)
(7) -> (8)
(8) -> (4)
(9) -> (8), (10)
(10) -> (4)

This digraph is fully evaluated!
----------------------------------------

(78)
Obligation:

Termination digraph:
Nodes:
(1) f3925_0_main_GE(java.lang.Object(ARRAY(i101:0)), i91:0, i341:0, i101:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0)), arith, i101:0) :|: i341:0 > 99 && arith = i91:0 + 1
(2) f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x43, x41) -> f3925_0_main_GE(java.lang.Object(ARRAY(x41)), x42, x44, x41) :|: x43 < 100 && x44 = x43 + 1
(3) f988_0_main_Load'(java.lang.Object(ARRAY(x5)), x6, x5) -> f3925_0_main_GE(java.lang.Object(ARRAY(x5)), x6, 0, x5) :|: x6 - 5 * x7 > 0 && x6 - 3 * x8 > 0 && x5 > -1 && x6 < x5 && x6 - 2 * x9 = 1 && x6 - 2 * x9 > -2 && x6 - 2 * x9 < 2 && x6 - 3 * x8 < 3 && x6 - 5 * x7 < 5
(4) f988_0_main_Load(java.lang.Object(ARRAY(x)), x1, x) -> f988_0_main_Load'(java.lang.Object(ARRAY(x)), x1, x) :|: x1 < x && x > -1 && x1 - 2 * x2 = 1 && x1 - 3 * x3 > 0 && x1 - 5 * x4 > 0
(5) f988_0_main_Load'(java.lang.Object(ARRAY(x37)), x38, x37) -> f988_0_main_Load(java.lang.Object(ARRAY(x37)), x39, x37) :|: x38 < x37 && x37 > 0 && x38 - 2 * x40 = 0 && x38 - 2 * x40 > -2 && x38 - 2 * x40 < 2 && x39 = x38 + 1
(6) f988_0_main_Load(java.lang.Object(ARRAY(x10)), x11, x10) -> f988_0_main_Load'(java.lang.Object(ARRAY(x10)), x11, x10) :|: x11 < x10 && x11 - 2 * x12 = 0 && x10 > 0
(7) f988_0_main_Load'(java.lang.Object(ARRAY(x50)), x51, x50) -> f988_0_main_Load(java.lang.Object(ARRAY(x50)), x52, x50) :|: x50 > 0 && x51 - 3 * x53 > 0 && x51 < x50 && x51 - 2 * x54 = 1 && x51 - 5 * x55 = 0 && x51 - 2 * x54 > -2 && x51 - 2 * x54 < 2 && x51 - 3 * x53 < 3 && x51 - 5 * x55 > -5 && x51 - 5 * x55 < 5 && x52 = x51 + 1
(8) f988_0_main_Load'(java.lang.Object(ARRAY(x45)), x46, x45) -> f988_0_main_Load(java.lang.Object(ARRAY(x45)), x47, x45) :|: x46 < x45 && x45 > 0 && x46 - 2 * x48 = 1 && x46 - 3 * x49 = 0 && x46 - 2 * x48 > -2 && x46 - 2 * x48 < 2 && x46 - 3 * x49 > -3 && x46 - 3 * x49 < 3 && x47 = x46 + 1
(9) f988_0_main_Load(java.lang.Object(ARRAY(x27)), x28, x27) -> f988_0_main_Load'(java.lang.Object(ARRAY(x27)), x28, x27) :|: x28 < x27 && x27 > 0 && x28 - 2 * x29 = 1 && x28 - 5 * x30 = 0 && x28 - 3 * x31 > 0
(10) f988_0_main_Load(java.lang.Object(ARRAY(x19)), x20, x19) -> f988_0_main_Load'(java.lang.Object(ARRAY(x19)), x20, x19) :|: x20 < x19 && x19 > 0 && x20 - 3 * x21 = 0 && x20 - 2 * x22 = 1

Arcs:
(1) -> (4), (6), (9), (10)
(2) -> (1), (2)
(3) -> (2)
(4) -> (3), (7), (8)
(5) -> (4), (9), (10)
(6) -> (5)
(7) -> (6)
(8) -> (6)
(9) -> (7), (8)
(10) -> (8)

This digraph is fully evaluated!

----------------------------------------

(79) IntTRSCompressionProof (EQUIVALENT)
Compressed rules.
----------------------------------------

(80)
Obligation:
Rules:
f988_0_main_Load(java.lang.Object(ARRAY(x10:0)), x11:0, x10:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(x10:0)), x11:0, x10:0) :|: x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0
f988_0_main_Load(java.lang.Object(ARRAY(x19:0)), x20:0, x19:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(x19:0)), x20:0, x19:0) :|: x20:0 - 3 * x21:0 = 0 && x20:0 - 2 * x22:0 = 1 && x19:0 > 0 && x20:0 < x19:0
f988_0_main_Load'(java.lang.Object(ARRAY(x5:0)), x6:0, x5:0) -> f3925_0_main_GE(java.lang.Object(ARRAY(x5:0)), x6:0, 0, x5:0) :|: x6:0 - 3 * x8:0 < 3 && x6:0 - 5 * x7:0 < 5 && x6:0 - 2 * x9:0 < 2 && x6:0 - 2 * x9:0 > -2 && x6:0 - 2 * x9:0 = 1 && x6:0 < x5:0 && x5:0 > -1 && x6:0 - 3 * x8:0 > 0 && x6:0 - 5 * x7:0 > 0
f988_0_main_Load'(java.lang.Object(ARRAY(x37:0)), x38:0, x37:0) -> f988_0_main_Load(java.lang.Object(ARRAY(x37:0)), x38:0 + 1, x37:0) :|: x38:0 - 2 * x40:0 > -2 && x38:0 - 2 * x40:0 < 2 && x38:0 - 2 * x40:0 = 0 && x37:0 > 0 && x38:0 < x37:0
f3925_0_main_GE(java.lang.Object(ARRAY(x41:0)), x42:0, x43:0, x41:0) -> f3925_0_main_GE(java.lang.Object(ARRAY(x41:0)), x42:0, x43:0 + 1, x41:0) :|: x43:0 < 100
f988_0_main_Load(java.lang.Object(ARRAY(x27:0)), x28:0, x27:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(x27:0)), x28:0, x27:0) :|: x28:0 - 5 * x30:0 = 0 && x28:0 - 3 * x31:0 > 0 && x28:0 - 2 * x29:0 = 1 && x27:0 > 0 && x28:0 < x27:0
f3925_0_main_GE(java.lang.Object(ARRAY(i101:0:0)), i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(java.lang.Object(ARRAY(i101:0:0)), i91:0:0 + 1, i101:0:0) :|: i341:0:0 > 99
f988_0_main_Load'(java.lang.Object(ARRAY(x45:0)), x46:0, x45:0) -> f988_0_main_Load(java.lang.Object(ARRAY(x45:0)), x46:0 + 1, x45:0) :|: x46:0 - 3 * x49:0 > -3 && x46:0 - 3 * x49:0 < 3 && x46:0 - 2 * x48:0 < 2 && x46:0 - 2 * x48:0 > -2 && x46:0 - 3 * x49:0 = 0 && x46:0 - 2 * x48:0 = 1 && x45:0 > 0 && x46:0 < x45:0
f988_0_main_Load(java.lang.Object(ARRAY(x:0)), x1:0, x:0) -> f988_0_main_Load'(java.lang.Object(ARRAY(x:0)), x1:0, x:0) :|: x1:0 - 3 * x3:0 > 0 && x1:0 - 5 * x4:0 > 0 && x1:0 - 2 * x2:0 = 1 && x:0 > -1 && x:0 > x1:0
f988_0_main_Load'(java.lang.Object(ARRAY(x50:0)), x51:0, x50:0) -> f988_0_main_Load(java.lang.Object(ARRAY(x50:0)), x51:0 + 1, x50:0) :|: x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0

----------------------------------------

(81) TempFilterProof (SOUND)
Used the following sort dictionary for filtering: 
f988_0_main_Load(VARIABLE, INTEGER, VARIABLE)
java.lang.Object(VARIABLE)
ARRAY(VARIABLE)
f988_0_main_Load'(VARIABLE, INTEGER, INTEGER)
f3925_0_main_GE(VARIABLE, VARIABLE, VARIABLE, VARIABLE)
Replaced non-predefined constructor symbols by 0.
----------------------------------------

(82)
Obligation:
Rules:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f988_0_main_Load(c2, x20:0, x19:0) -> f988_0_main_Load'(c3, x20:0, x19:0) :|: c3 = 0 && c2 = 0 && (x20:0 - 3 * x21:0 = 0 && x20:0 - 2 * x22:0 = 1 && x19:0 > 0 && x20:0 < x19:0)
f988_0_main_Load'(c4, x6:0, x5:0) -> f3925_0_main_GE(c5, x6:0, c6, x5:0) :|: c6 = 0 && (c5 = 0 && c4 = 0) && (x6:0 - 3 * x8:0 < 3 && x6:0 - 5 * x7:0 < 5 && x6:0 - 2 * x9:0 < 2 && x6:0 - 2 * x9:0 > -2 && x6:0 - 2 * x9:0 = 1 && x6:0 < x5:0 && x5:0 > -1 && x6:0 - 3 * x8:0 > 0 && x6:0 - 5 * x7:0 > 0)
f988_0_main_Load'(c7, x38:0, x37:0) -> f988_0_main_Load(c8, c9, x37:0) :|: c9 = x38:0 + 1 && (c8 = 0 && c7 = 0) && (x38:0 - 2 * x40:0 > -2 && x38:0 - 2 * x40:0 < 2 && x38:0 - 2 * x40:0 = 0 && x37:0 > 0 && x38:0 < x37:0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f988_0_main_Load(c13, x28:0, x27:0) -> f988_0_main_Load'(c14, x28:0, x27:0) :|: c14 = 0 && c13 = 0 && (x28:0 - 5 * x30:0 = 0 && x28:0 - 3 * x31:0 > 0 && x28:0 - 2 * x29:0 = 1 && x27:0 > 0 && x28:0 < x27:0)
f3925_0_main_GE(c15, i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(c16, c17, i101:0:0) :|: c17 = i91:0:0 + 1 && (c16 = 0 && c15 = 0) && i341:0:0 > 99
f988_0_main_Load'(c18, x46:0, x45:0) -> f988_0_main_Load(c19, c20, x45:0) :|: c20 = x46:0 + 1 && (c19 = 0 && c18 = 0) && (x46:0 - 3 * x49:0 > -3 && x46:0 - 3 * x49:0 < 3 && x46:0 - 2 * x48:0 < 2 && x46:0 - 2 * x48:0 > -2 && x46:0 - 3 * x49:0 = 0 && x46:0 - 2 * x48:0 = 1 && x45:0 > 0 && x46:0 < x45:0)
f988_0_main_Load(c21, x1:0, x:0) -> f988_0_main_Load'(c22, x1:0, x:0) :|: c22 = 0 && c21 = 0 && (x1:0 - 3 * x3:0 > 0 && x1:0 - 5 * x4:0 > 0 && x1:0 - 2 * x2:0 = 1 && x:0 > -1 && x:0 > x1:0)
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

----------------------------------------

(83) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f988_0_main_Load ] = -3*f988_0_main_Load_2 + 3*f988_0_main_Load_3 + 2
[ f988_0_main_Load' ] = -3*f988_0_main_Load'_2 + 3*f988_0_main_Load'_3 + 1
[ f3925_0_main_GE ] = -3*f3925_0_main_GE_2 + 3*f3925_0_main_GE_4

The following rules are decreasing:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f988_0_main_Load(c2, x20:0, x19:0) -> f988_0_main_Load'(c3, x20:0, x19:0) :|: c3 = 0 && c2 = 0 && (x20:0 - 3 * x21:0 = 0 && x20:0 - 2 * x22:0 = 1 && x19:0 > 0 && x20:0 < x19:0)
f988_0_main_Load'(c4, x6:0, x5:0) -> f3925_0_main_GE(c5, x6:0, c6, x5:0) :|: c6 = 0 && (c5 = 0 && c4 = 0) && (x6:0 - 3 * x8:0 < 3 && x6:0 - 5 * x7:0 < 5 && x6:0 - 2 * x9:0 < 2 && x6:0 - 2 * x9:0 > -2 && x6:0 - 2 * x9:0 = 1 && x6:0 < x5:0 && x5:0 > -1 && x6:0 - 3 * x8:0 > 0 && x6:0 - 5 * x7:0 > 0)
f988_0_main_Load'(c7, x38:0, x37:0) -> f988_0_main_Load(c8, c9, x37:0) :|: c9 = x38:0 + 1 && (c8 = 0 && c7 = 0) && (x38:0 - 2 * x40:0 > -2 && x38:0 - 2 * x40:0 < 2 && x38:0 - 2 * x40:0 = 0 && x37:0 > 0 && x38:0 < x37:0)
f988_0_main_Load(c13, x28:0, x27:0) -> f988_0_main_Load'(c14, x28:0, x27:0) :|: c14 = 0 && c13 = 0 && (x28:0 - 5 * x30:0 = 0 && x28:0 - 3 * x31:0 > 0 && x28:0 - 2 * x29:0 = 1 && x27:0 > 0 && x28:0 < x27:0)
f3925_0_main_GE(c15, i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(c16, c17, i101:0:0) :|: c17 = i91:0:0 + 1 && (c16 = 0 && c15 = 0) && i341:0:0 > 99
f988_0_main_Load'(c18, x46:0, x45:0) -> f988_0_main_Load(c19, c20, x45:0) :|: c20 = x46:0 + 1 && (c19 = 0 && c18 = 0) && (x46:0 - 3 * x49:0 > -3 && x46:0 - 3 * x49:0 < 3 && x46:0 - 2 * x48:0 < 2 && x46:0 - 2 * x48:0 > -2 && x46:0 - 3 * x49:0 = 0 && x46:0 - 2 * x48:0 = 1 && x45:0 > 0 && x46:0 < x45:0)
f988_0_main_Load(c21, x1:0, x:0) -> f988_0_main_Load'(c22, x1:0, x:0) :|: c22 = 0 && c21 = 0 && (x1:0 - 3 * x3:0 > 0 && x1:0 - 5 * x4:0 > 0 && x1:0 - 2 * x2:0 = 1 && x:0 > -1 && x:0 > x1:0)
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

The following rules are bounded:
f988_0_main_Load(c2, x20:0, x19:0) -> f988_0_main_Load'(c3, x20:0, x19:0) :|: c3 = 0 && c2 = 0 && (x20:0 - 3 * x21:0 = 0 && x20:0 - 2 * x22:0 = 1 && x19:0 > 0 && x20:0 < x19:0)
f988_0_main_Load'(c4, x6:0, x5:0) -> f3925_0_main_GE(c5, x6:0, c6, x5:0) :|: c6 = 0 && (c5 = 0 && c4 = 0) && (x6:0 - 3 * x8:0 < 3 && x6:0 - 5 * x7:0 < 5 && x6:0 - 2 * x9:0 < 2 && x6:0 - 2 * x9:0 > -2 && x6:0 - 2 * x9:0 = 1 && x6:0 < x5:0 && x5:0 > -1 && x6:0 - 3 * x8:0 > 0 && x6:0 - 5 * x7:0 > 0)
f988_0_main_Load'(c7, x38:0, x37:0) -> f988_0_main_Load(c8, c9, x37:0) :|: c9 = x38:0 + 1 && (c8 = 0 && c7 = 0) && (x38:0 - 2 * x40:0 > -2 && x38:0 - 2 * x40:0 < 2 && x38:0 - 2 * x40:0 = 0 && x37:0 > 0 && x38:0 < x37:0)
f988_0_main_Load(c13, x28:0, x27:0) -> f988_0_main_Load'(c14, x28:0, x27:0) :|: c14 = 0 && c13 = 0 && (x28:0 - 5 * x30:0 = 0 && x28:0 - 3 * x31:0 > 0 && x28:0 - 2 * x29:0 = 1 && x27:0 > 0 && x28:0 < x27:0)
f988_0_main_Load'(c18, x46:0, x45:0) -> f988_0_main_Load(c19, c20, x45:0) :|: c20 = x46:0 + 1 && (c19 = 0 && c18 = 0) && (x46:0 - 3 * x49:0 > -3 && x46:0 - 3 * x49:0 < 3 && x46:0 - 2 * x48:0 < 2 && x46:0 - 2 * x48:0 > -2 && x46:0 - 3 * x49:0 = 0 && x46:0 - 2 * x48:0 = 1 && x45:0 > 0 && x46:0 < x45:0)
f988_0_main_Load(c21, x1:0, x:0) -> f988_0_main_Load'(c22, x1:0, x:0) :|: c22 = 0 && c21 = 0 && (x1:0 - 3 * x3:0 > 0 && x1:0 - 5 * x4:0 > 0 && x1:0 - 2 * x2:0 = 1 && x:0 > -1 && x:0 > x1:0)


----------------------------------------

(84)
Obligation:
Rules:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f3925_0_main_GE(c15, i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(c16, c17, i101:0:0) :|: c17 = i91:0:0 + 1 && (c16 = 0 && c15 = 0) && i341:0:0 > 99
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

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(85) PolynomialOrderProcessor (EQUIVALENT)
Found the following polynomial interpretation:
[f988_0_main_Load(x, x1, x2)] = c*x
[f988_0_main_Load'(x3, x4, x5)] = c3*x3
[f3925_0_main_GE(x6, x7, x8, x9)] = 1 + c6*x6

The following rules are decreasing:
f3925_0_main_GE(c15, i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(c16, c17, i101:0:0) :|: c17 = i91:0:0 + 1 && (c16 = 0 && c15 = 0) && i341:0:0 > 99
The following rules are bounded:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f3925_0_main_GE(c15, i91:0:0, i341:0:0, i101:0:0) -> f988_0_main_Load(c16, c17, i101:0:0) :|: c17 = i91:0:0 + 1 && (c16 = 0 && c15 = 0) && i341:0:0 > 99
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

----------------------------------------

(86)
Obligation:
Rules:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

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(87) RankingReductionPairProof (EQUIVALENT)
Interpretation:
[ f988_0_main_Load ] = -2*f988_0_main_Load_2 + 2*f988_0_main_Load_3
[ f988_0_main_Load' ] = -2*f988_0_main_Load'_2 + 2*f988_0_main_Load'_3 + -1
[ f3925_0_main_GE ] = -1*f3925_0_main_GE_3

The following rules are decreasing:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)

The following rules are bounded:
f988_0_main_Load(c, x11:0, x10:0) -> f988_0_main_Load'(c1, x11:0, x10:0) :|: c1 = 0 && c = 0 && (x11:0 < x10:0 && x11:0 - 2 * x12:0 = 0 && x10:0 > 0)
f3925_0_main_GE(c10, x42:0, x43:0, x41:0) -> f3925_0_main_GE(c11, x42:0, c12, x41:0) :|: c12 = x43:0 + 1 && (c11 = 0 && c10 = 0) && x43:0 < 100
f988_0_main_Load'(c23, x51:0, x50:0) -> f988_0_main_Load(c24, c25, x50:0) :|: c25 = x51:0 + 1 && (c24 = 0 && c23 = 0) && (x51:0 - 5 * x55:0 > -5 && x51:0 - 5 * x55:0 < 5 && x51:0 - 3 * x53:0 < 3 && x51:0 - 2 * x54:0 < 2 && x51:0 - 2 * x54:0 > -2 && x51:0 - 5 * x55:0 = 0 && x51:0 - 2 * x54:0 = 1 && x51:0 < x50:0 && x51:0 - 3 * x53:0 > 0 && x50:0 > 0)


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(88)
YES