7.94/3.05	YES
7.94/3.06	proof of /export/starexec/sandbox2/benchmark/theBenchmark.jar
7.94/3.06	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.94/3.06	
7.94/3.06	
7.94/3.06	termination of the given Bare JBC problem could be proven:
7.94/3.06	
7.94/3.06	(0) Bare JBC problem
7.94/3.06	(1) BareJBCToJBCProof [EQUIVALENT, 94 ms]
7.94/3.06	(2) JBC problem
7.94/3.06	(3) JBCToGraph [EQUIVALENT, 334 ms]
7.94/3.06	(4) JBCTerminationGraph
7.94/3.06	(5) TerminationGraphToSCCProof [SOUND, 0 ms]
7.94/3.06	(6) AND
7.94/3.06	    (7) JBCTerminationSCC
7.94/3.06	        (8) SCCToIRSProof [SOUND, 104 ms]
7.94/3.06	        (9) IRSwT
7.94/3.06	        (10) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
7.94/3.06	        (11) IRSwT
7.94/3.06	        (12) IRSwTTerminationDigraphProof [EQUIVALENT, 0 ms]
7.94/3.06	        (13) IRSwT
7.94/3.06	        (14) IntTRSCompressionProof [EQUIVALENT, 0 ms]
7.94/3.06	        (15) IRSwT
7.94/3.06	        (16) TempFilterProof [SOUND, 12 ms]
7.94/3.06	        (17) IntTRS
7.94/3.06	        (18) RankingReductionPairProof [EQUIVALENT, 6 ms]
7.94/3.06	        (19) YES
7.94/3.06	    (20) JBCTerminationSCC
7.94/3.06	        (21) SCCToIRSProof [SOUND, 63 ms]
7.94/3.06	        (22) IRSwT
7.94/3.06	        (23) IRSFormatTransformerProof [EQUIVALENT, 0 ms]
7.94/3.06	        (24) IRSwT
7.94/3.06	        (25) IRSwTTerminationDigraphProof [EQUIVALENT, 18 ms]
7.94/3.06	        (26) IRSwT
7.94/3.06	        (27) IntTRSCompressionProof [EQUIVALENT, 0 ms]
7.94/3.06	        (28) IRSwT
7.94/3.06	        (29) TempFilterProof [SOUND, 37 ms]
7.94/3.06	        (30) IntTRS
7.94/3.06	        (31) RankingReductionPairProof [EQUIVALENT, 19 ms]
7.94/3.06	        (32) YES
7.94/3.06	
7.94/3.06	
7.94/3.06	----------------------------------------
7.94/3.06	
7.94/3.06	(0)
7.94/3.06	Obligation:
7.94/3.06	need to prove termination of the following program:
7.94/3.06	public class List2 {
7.94/3.06		private List2 next;
7.94/3.06		private int mark;
7.94/3.06	
7.94/3.06		static void visit(List2 c) {
7.94/3.06			int expectedMark = c.mark;
7.94/3.06			while (c != null && c.mark == expectedMark) {
7.94/3.06				c.mark = expectedMark + 1;
7.94/3.06				c = c.next;
7.94/3.06			}
7.94/3.06		}
7.94/3.06	
7.94/3.06		public static void main(String[] args) {
7.94/3.06			//Create cyclic list:
7.94/3.06			int length = args.length;
7.94/3.06			List2 cur = new List2();
7.94/3.06			List2 last = cur;
7.94/3.06			while (length-- > 0) {
7.94/3.06				List2 n = new List2();
7.94/3.06				n.next = cur;
7.94/3.06				cur = n;
7.94/3.06			}
7.94/3.06			last.next = cur;
7.94/3.06	
7.94/3.06			visit(cur);		
7.94/3.06		}
7.94/3.06	}
7.94/3.06	
7.94/3.06	
7.94/3.06	
7.94/3.06	
7.94/3.06	----------------------------------------
7.94/3.06	
7.94/3.06	(1) BareJBCToJBCProof (EQUIVALENT)
7.94/3.06	initialized classpath
7.94/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(2)
8.22/3.06	Obligation:
8.22/3.06	need to prove termination of the following program:
8.22/3.06	public class List2 {
8.22/3.06		private List2 next;
8.22/3.06		private int mark;
8.22/3.06	
8.22/3.06		static void visit(List2 c) {
8.22/3.06			int expectedMark = c.mark;
8.22/3.06			while (c != null && c.mark == expectedMark) {
8.22/3.06				c.mark = expectedMark + 1;
8.22/3.06				c = c.next;
8.22/3.06			}
8.22/3.06		}
8.22/3.06	
8.22/3.06		public static void main(String[] args) {
8.22/3.06			//Create cyclic list:
8.22/3.06			int length = args.length;
8.22/3.06			List2 cur = new List2();
8.22/3.06			List2 last = cur;
8.22/3.06			while (length-- > 0) {
8.22/3.06				List2 n = new List2();
8.22/3.06				n.next = cur;
8.22/3.06				cur = n;
8.22/3.06			}
8.22/3.06			last.next = cur;
8.22/3.06	
8.22/3.06			visit(cur);		
8.22/3.06		}
8.22/3.06	}
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(3) JBCToGraph (EQUIVALENT)
8.22/3.06	Constructed TerminationGraph.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(4)
8.22/3.06	Obligation:
8.22/3.06	Termination Graph based on JBC Program:
8.22/3.06	List2.main([Ljava/lang/String;)V: Graph of 56 nodes with 1 SCC.
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	List2.visit(LList2;)V: Graph of 29 nodes with 1 SCC.
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(5) TerminationGraphToSCCProof (SOUND)
8.22/3.06	Splitted TerminationGraph to 2 SCCss.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(6)
8.22/3.06	Complex Obligation (AND)
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(7)
8.22/3.06	Obligation:
8.22/3.06	SCC of termination graph based on JBC Program.
8.22/3.06	SCC contains nodes from the following methods: List2.visit(LList2;)V
8.22/3.06	SCC calls the following helper methods: 
8.22/3.06	Performed SCC analyses:
8.22/3.06	*Used field analysis yielded the following read fields:
8.22/3.06	*List2: [mark, next]
8.22/3.06	*Marker field analysis yielded the following relations that could be markers:
8.22/3.06	*List2.mark = iconst_0 (Introduced counter i107)
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(8) SCCToIRSProof (SOUND)
8.22/3.06	Transformed FIGraph SCCs to intTRSs. Log: 
8.22/3.06	Generated rules. Obtained 19 IRulesP rules:
8.22/3.06	f693_0_visit_NULL(EOS(STATIC_693), java.lang.Object(o67sub0), matching1, java.lang.Object(o67sub0), i107) -> f867_0_visit_NULL(EOS(STATIC_867), java.lang.Object(o67sub0), 0, java.lang.Object(o67sub0), i107) :|: TRUE && matching1 = 0
8.22/3.06	f867_0_visit_NULL(EOS(STATIC_867), java.lang.Object(o67sub0), matching1, java.lang.Object(o67sub0), i107) -> f872_0_visit_Load(EOS(STATIC_872), java.lang.Object(o67sub0), 0, i107) :|: TRUE && matching1 = 0
8.22/3.06	f872_0_visit_Load(EOS(STATIC_872), java.lang.Object(o67sub0), matching1, i107) -> f918_0_visit_FieldAccess(EOS(STATIC_918), java.lang.Object(o67sub0), 0, java.lang.Object(o67sub0), i107) :|: TRUE && matching1 = 0
8.22/3.06	f918_0_visit_FieldAccess(EOS(STATIC_918), java.lang.Object(List2(EOC, i75, o751620716951)), matching1, java.lang.Object(List2(EOC, i75, o751620716951)), i107) -> f924_0_visit_FieldAccess(EOS(STATIC_924), java.lang.Object(List2(EOC, i75, o751620716951)), 0, java.lang.Object(List2(EOC, i75, o751620716951)), i107) :|: TRUE && matching1 = 0
8.22/3.06	f924_0_visit_FieldAccess(EOS(STATIC_924), java.lang.Object(List2(EOC, i75, o751620716951)), matching1, java.lang.Object(List2(EOC, i75, o751620716951)), i107) -> f928_0_visit_Load(EOS(STATIC_928), java.lang.Object(List2(EOC, i75, o751620716951)), 0, i75, i107) :|: TRUE && matching1 = 0
8.22/3.06	f928_0_visit_Load(EOS(STATIC_928), java.lang.Object(List2(EOC, i75, o751620716951)), matching1, i75, i107) -> f933_0_visit_NE(EOS(STATIC_933), java.lang.Object(List2(EOC, i75, o751620716951)), 0, i75, 0, i107) :|: TRUE && matching1 = 0
8.22/3.06	f933_0_visit_NE(EOS(STATIC_933), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, matching3, matching4, i107) -> f950_0_visit_NE(EOS(STATIC_950), java.lang.Object(List2(EOC, 0, o751620716951)), 0, 0, 0, i107) :|: i75 = 0 && matching1 = 0 && matching2 = 0 && matching3 = 0 && matching4 = 0
8.22/3.06	f950_0_visit_NE(EOS(STATIC_950), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, matching3, matching4, i107) -> f965_0_visit_Load(EOS(STATIC_965), java.lang.Object(List2(EOC, 0, o751620716951)), 0, i107) :|: TRUE && matching1 = 0 && matching2 = 0 && matching3 = 0 && matching4 = 0
8.22/3.06	f965_0_visit_Load(EOS(STATIC_965), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, i107) -> f970_0_visit_Load(EOS(STATIC_970), java.lang.Object(List2(EOC, 0, o751620716951)), 0, java.lang.Object(List2(EOC, 0, o751620716951)), i107) :|: TRUE && matching1 = 0 && matching2 = 0
8.22/3.06	f970_0_visit_Load(EOS(STATIC_970), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, java.lang.Object(List2(EOC, matching3, o751620716951)), i107) -> f976_0_visit_ConstantStackPush(EOS(STATIC_976), java.lang.Object(List2(EOC, 0, o751620716951)), 0, java.lang.Object(List2(EOC, 0, o751620716951)), 0, i107) :|: TRUE && matching1 = 0 && matching2 = 0 && matching3 = 0
8.22/3.06	f976_0_visit_ConstantStackPush(EOS(STATIC_976), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, java.lang.Object(List2(EOC, matching3, o751620716951)), matching4, i107) -> f982_0_visit_IntArithmetic(EOS(STATIC_982), java.lang.Object(List2(EOC, 0, o751620716951)), 0, java.lang.Object(List2(EOC, 0, o751620716951)), 0, 1, i107) :|: TRUE && matching1 = 0 && matching2 = 0 && matching3 = 0 && matching4 = 0
8.22/3.06	f982_0_visit_IntArithmetic(EOS(STATIC_982), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, java.lang.Object(List2(EOC, matching3, o751620716951)), matching4, matching5, i107) -> f1000_0_visit_FieldAccess(EOS(STATIC_1000), java.lang.Object(List2(EOC, 0, o751620716951)), 0, java.lang.Object(List2(EOC, 0, o751620716951)), 1, i107) :|: TRUE && matching1 = 0 && matching2 = 0 && matching3 = 0 && matching4 = 0 && matching5 = 1
8.22/3.06	f1000_0_visit_FieldAccess(EOS(STATIC_1000), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, java.lang.Object(List2(EOC, matching3, o751620716951)), matching4, i107) -> f1016_0_visit_Load(EOS(STATIC_1016), java.lang.Object(List2(EOC, 1, o75put1620716951)), 0, i107 + -1) :|: i107 >= 0 && matching1 = 0 && matching2 = 0 && matching3 = 0 && matching4 = 1
8.22/3.06	f1016_0_visit_Load(EOS(STATIC_1016), java.lang.Object(List2(EOC, matching1, o751620716951)), matching2, i107) -> f1020_0_visit_FieldAccess(EOS(STATIC_1020), 0, java.lang.Object(List2(EOC, 1, o751620716951)), i107) :|: TRUE && matching1 = 1 && matching2 = 0
8.22/3.06	f1020_0_visit_FieldAccess(EOS(STATIC_1020), matching1, java.lang.Object(List2(EOC, matching2, o751620716951)), i107) -> f1024_0_visit_Store(EOS(STATIC_1024), 0, o750, i107) :|: TRUE && matching1 = 0 && matching2 = 1
8.22/3.06	f1024_0_visit_Store(EOS(STATIC_1024), matching1, o750, i107) -> f1026_0_visit_JMP(EOS(STATIC_1026), o750, 0, i107) :|: TRUE && matching1 = 0
8.22/3.06	f1026_0_visit_JMP(EOS(STATIC_1026), o750, matching1, i107) -> f1028_0_visit_Load(EOS(STATIC_1028), o750, 0, i107) :|: TRUE && matching1 = 0
8.22/3.06	f1028_0_visit_Load(EOS(STATIC_1028), o750, matching1, i107) -> f679_0_visit_Load(EOS(STATIC_679), o750, 0, i107) :|: TRUE && matching1 = 0
8.22/3.06	f679_0_visit_Load(EOS(STATIC_679), o580, matching1, i107) -> f693_0_visit_NULL(EOS(STATIC_693), o580, 0, o580, i107) :|: TRUE && matching1 = 0
8.22/3.06	Combined rules. Obtained 1 IRulesP rules:
8.22/3.06	f693_0_visit_NULL(EOS(STATIC_693), java.lang.Object(List2(EOC, 0, o751620716951:0)), 0, java.lang.Object(List2(EOC, 0, o751620716951:0)), i107:0) -> f693_0_visit_NULL(EOS(STATIC_693), o750:0, 0, o750:0, i107:0 - 1) :|: i107:0 > -1
8.22/3.06	Filtered constant ground arguments:
8.22/3.06	   f693_0_visit_NULL(x1, x2, x3, x4, x5) -> f693_0_visit_NULL(x2, x4, x5)
8.22/3.06	   EOS(x1) -> EOS
8.22/3.06	   List2(x1, x2, x3) -> List2(x3)
8.22/3.06	Filtered duplicate arguments:
8.22/3.06	   f693_0_visit_NULL(x1, x2, x3) -> f693_0_visit_NULL(x2, x3)
8.22/3.06	Finished conversion. Obtained 1 rules.P rules:
8.22/3.06	f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0)), i107:0) -> f693_0_visit_NULL(o750:0, i107:0 - 1) :|: i107:0 > -1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(9)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0)), i107:0) -> f693_0_visit_NULL(o750:0, i107:0 - 1) :|: i107:0 > -1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(10) IRSFormatTransformerProof (EQUIVALENT)
8.22/3.06	Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(11)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0)), i107:0) -> f693_0_visit_NULL(o750:0, arith) :|: i107:0 > -1 && arith = i107:0 - 1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(12) IRSwTTerminationDigraphProof (EQUIVALENT)
8.22/3.06	Constructed termination digraph!
8.22/3.06	Nodes:
8.22/3.06	(1) f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0)), i107:0) -> f693_0_visit_NULL(o750:0, arith) :|: i107:0 > -1 && arith = i107:0 - 1
8.22/3.06	
8.22/3.06	Arcs:
8.22/3.06	(1) -> (1)
8.22/3.06	
8.22/3.06	This digraph is fully evaluated!
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(13)
8.22/3.06	Obligation:
8.22/3.06	
8.22/3.06	Termination digraph:
8.22/3.06	Nodes:
8.22/3.06	(1) f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0)), i107:0) -> f693_0_visit_NULL(o750:0, arith) :|: i107:0 > -1 && arith = i107:0 - 1
8.22/3.06	
8.22/3.06	Arcs:
8.22/3.06	(1) -> (1)
8.22/3.06	
8.22/3.06	This digraph is fully evaluated!
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(14) IntTRSCompressionProof (EQUIVALENT)
8.22/3.06	Compressed rules.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(15)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f693_0_visit_NULL(java.lang.Object(List2(o751620716951:0:0)), i107:0:0) -> f693_0_visit_NULL(o750:0:0, i107:0:0 - 1) :|: i107:0:0 > -1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(16) TempFilterProof (SOUND)
8.22/3.06	Used the following sort dictionary for filtering: 
8.22/3.06	f693_0_visit_NULL(VARIABLE, INTEGER)
8.22/3.06	java.lang.Object(VARIABLE)
8.22/3.06	List2(VARIABLE)
8.22/3.06	Replaced non-predefined constructor symbols by 0.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(17)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f693_0_visit_NULL(c, i107:0:0) -> f693_0_visit_NULL(o750:0:0, c1) :|: c1 = i107:0:0 - 1 && c = 0 && i107:0:0 > -1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(18) RankingReductionPairProof (EQUIVALENT)
8.22/3.06	Interpretation:
8.22/3.06	[ f693_0_visit_NULL ] = f693_0_visit_NULL_2
8.22/3.06	
8.22/3.06	The following rules are decreasing:
8.22/3.06	f693_0_visit_NULL(c, i107:0:0) -> f693_0_visit_NULL(o750:0:0, c1) :|: c1 = i107:0:0 - 1 && c = 0 && i107:0:0 > -1
8.22/3.06	
8.22/3.06	The following rules are bounded:
8.22/3.06	f693_0_visit_NULL(c, i107:0:0) -> f693_0_visit_NULL(o750:0:0, c1) :|: c1 = i107:0:0 - 1 && c = 0 && i107:0:0 > -1
8.22/3.06	
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(19)
8.22/3.06	YES
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(20)
8.22/3.06	Obligation:
8.22/3.06	SCC of termination graph based on JBC Program.
8.22/3.06	SCC contains nodes from the following methods: List2.main([Ljava/lang/String;)V
8.22/3.06	SCC calls the following helper methods: 
8.22/3.06	Performed SCC analyses:
8.22/3.06	*Used field analysis yielded the following read fields:
8.22/3.06	
8.22/3.06	*Marker field analysis yielded the following relations that could be markers:
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(21) SCCToIRSProof (SOUND)
8.22/3.06	Transformed FIGraph SCCs to intTRSs. Log: 
8.22/3.06	Generated rules. Obtained 18 IRulesP rules:
8.22/3.06	f922_0_main_Inc(EOS(STATIC_922), i70, i70) -> f927_0_main_LE(EOS(STATIC_927), i70 + -1, i70) :|: TRUE
8.22/3.06	f927_0_main_LE(EOS(STATIC_927), i76, i79) -> f932_0_main_LE(EOS(STATIC_932), i76, i79) :|: TRUE
8.22/3.06	f932_0_main_LE(EOS(STATIC_932), i76, i79) -> f937_0_main_New(EOS(STATIC_937), i76) :|: i79 > 0
8.22/3.06	f937_0_main_New(EOS(STATIC_937), i76) -> f956_0_main_Duplicate(EOS(STATIC_956), i76) :|: TRUE
8.22/3.06	f956_0_main_Duplicate(EOS(STATIC_956), i76) -> f967_0_main_InvokeMethod(EOS(STATIC_967), i76) :|: TRUE
8.22/3.06	f967_0_main_InvokeMethod(EOS(STATIC_967), i76) -> f975_0__init__Load(EOS(STATIC_975), i76) :|: TRUE
8.22/3.06	f975_0__init__Load(EOS(STATIC_975), i76) -> f999_0__init__InvokeMethod(EOS(STATIC_999), i76) :|: TRUE
8.22/3.06	f999_0__init__InvokeMethod(EOS(STATIC_999), i76) -> f1015_0__init__Return(EOS(STATIC_1015), i76) :|: TRUE
8.22/3.06	f1015_0__init__Return(EOS(STATIC_1015), i76) -> f1019_0_main_Store(EOS(STATIC_1019), i76) :|: TRUE
8.22/3.06	f1019_0_main_Store(EOS(STATIC_1019), i76) -> f1023_0_main_Load(EOS(STATIC_1023), i76) :|: TRUE
8.22/3.06	f1023_0_main_Load(EOS(STATIC_1023), i76) -> f1025_0_main_Load(EOS(STATIC_1025), i76) :|: TRUE
8.22/3.06	f1025_0_main_Load(EOS(STATIC_1025), i76) -> f1027_0_main_FieldAccess(EOS(STATIC_1027), i76) :|: TRUE
8.22/3.06	f1027_0_main_FieldAccess(EOS(STATIC_1027), i76) -> f1125_0_main_Load(EOS(STATIC_1125), i76) :|: TRUE
8.22/3.06	f1125_0_main_Load(EOS(STATIC_1125), i76) -> f1617_0_main_Store(EOS(STATIC_1617), i76) :|: TRUE
8.22/3.06	f1617_0_main_Store(EOS(STATIC_1617), i76) -> f1621_0_main_JMP(EOS(STATIC_1621), i76) :|: TRUE
8.22/3.06	f1621_0_main_JMP(EOS(STATIC_1621), i76) -> f1648_0_main_Load(EOS(STATIC_1648), i76) :|: TRUE
8.22/3.06	f1648_0_main_Load(EOS(STATIC_1648), i76) -> f912_0_main_Load(EOS(STATIC_912), i76) :|: TRUE
8.22/3.06	f912_0_main_Load(EOS(STATIC_912), i70) -> f922_0_main_Inc(EOS(STATIC_922), i70, i70) :|: TRUE
8.22/3.06	Combined rules. Obtained 1 IRulesP rules:
8.22/3.06	f922_0_main_Inc(EOS(STATIC_922), i70:0, i70:0) -> f922_0_main_Inc(EOS(STATIC_922), i70:0 - 1, i70:0 - 1) :|: i70:0 > 0
8.22/3.06	Filtered constant ground arguments:
8.22/3.06	   f922_0_main_Inc(x1, x2, x3) -> f922_0_main_Inc(x2, x3)
8.22/3.06	   EOS(x1) -> EOS
8.22/3.06	Filtered duplicate arguments:
8.22/3.06	   f922_0_main_Inc(x1, x2) -> f922_0_main_Inc(x2)
8.22/3.06	Finished conversion. Obtained 1 rules.P rules:
8.22/3.06	f922_0_main_Inc(i70:0) -> f922_0_main_Inc(i70:0 - 1) :|: i70:0 > 0
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(22)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f922_0_main_Inc(i70:0) -> f922_0_main_Inc(i70:0 - 1) :|: i70:0 > 0
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(23) IRSFormatTransformerProof (EQUIVALENT)
8.22/3.06	Reformatted IRS to match normalized format (transformed away non-linear left-hand sides, !=, / and %).
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(24)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f922_0_main_Inc(i70:0) -> f922_0_main_Inc(arith) :|: i70:0 > 0 && arith = i70:0 - 1
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(25) IRSwTTerminationDigraphProof (EQUIVALENT)
8.22/3.06	Constructed termination digraph!
8.22/3.06	Nodes:
8.22/3.06	(1) f922_0_main_Inc(i70:0) -> f922_0_main_Inc(arith) :|: i70:0 > 0 && arith = i70:0 - 1
8.22/3.06	
8.22/3.06	Arcs:
8.22/3.06	(1) -> (1)
8.22/3.06	
8.22/3.06	This digraph is fully evaluated!
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(26)
8.22/3.06	Obligation:
8.22/3.06	
8.22/3.06	Termination digraph:
8.22/3.06	Nodes:
8.22/3.06	(1) f922_0_main_Inc(i70:0) -> f922_0_main_Inc(arith) :|: i70:0 > 0 && arith = i70:0 - 1
8.22/3.06	
8.22/3.06	Arcs:
8.22/3.06	(1) -> (1)
8.22/3.06	
8.22/3.06	This digraph is fully evaluated!
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(27) IntTRSCompressionProof (EQUIVALENT)
8.22/3.06	Compressed rules.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(28)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f922_0_main_Inc(i70:0:0) -> f922_0_main_Inc(i70:0:0 - 1) :|: i70:0:0 > 0
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(29) TempFilterProof (SOUND)
8.22/3.06	Used the following sort dictionary for filtering: 
8.22/3.06	f922_0_main_Inc(INTEGER)
8.22/3.06	Replaced non-predefined constructor symbols by 0.
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(30)
8.22/3.06	Obligation:
8.22/3.06	Rules:
8.22/3.06	f922_0_main_Inc(i70:0:0) -> f922_0_main_Inc(c) :|: c = i70:0:0 - 1 && i70:0:0 > 0
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(31) RankingReductionPairProof (EQUIVALENT)
8.22/3.06	Interpretation:
8.22/3.06	[ f922_0_main_Inc ] = f922_0_main_Inc_1
8.22/3.06	
8.22/3.06	The following rules are decreasing:
8.22/3.06	f922_0_main_Inc(i70:0:0) -> f922_0_main_Inc(c) :|: c = i70:0:0 - 1 && i70:0:0 > 0
8.22/3.06	
8.22/3.06	The following rules are bounded:
8.22/3.06	f922_0_main_Inc(i70:0:0) -> f922_0_main_Inc(c) :|: c = i70:0:0 - 1 && i70:0:0 > 0
8.22/3.06	
8.22/3.06	
8.22/3.06	----------------------------------------
8.22/3.06	
8.22/3.06	(32)
8.22/3.06	YES
9.02/5.52	EOF