3.67/1.76	NO
3.67/1.78	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.67/1.78	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.67/1.78	
3.67/1.78	
3.67/1.78	Termination w.r.t. Q of the given QTRS could be disproven:
3.67/1.78	
3.67/1.78	(0) QTRS
3.67/1.78	(1) NonTerminationProof [COMPLETE, 6 ms]
3.67/1.78	(2) NO
3.67/1.78	
3.67/1.78	
3.67/1.78	----------------------------------------
3.67/1.78	
3.67/1.78	(0)
3.67/1.78	Obligation:
3.67/1.78	Q restricted rewrite system:
3.67/1.78	The TRS R consists of the following rules:
3.67/1.78	
3.67/1.78	   a(x1) -> x1
3.67/1.78	   a(a(a(x1))) -> b(x1)
3.67/1.78	   b(c(x1)) -> a(c(c(b(x1))))
3.67/1.78	   c(x1) -> x1
3.67/1.78	
3.67/1.78	Q is empty.
3.67/1.78	
3.67/1.78	----------------------------------------
3.67/1.78	
3.67/1.78	(1) NonTerminationProof (COMPLETE)
3.67/1.78	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.67/1.78	
3.67/1.78	Found the self-embedding DerivationStructure: 
3.67/1.78	"b c c c c -> b c c c c b"
3.67/1.78	b c c c c -> b c c c c b
3.67/1.78	by OverlapClosure OC 3"b c c c c -> b c c a c c b
3.67/1.78	by OverlapClosure OC 2"b c c c -> b c c b
3.67/1.78	by OverlapClosure OC 3"b c c c -> a a a c c b
3.67/1.78	by OverlapClosure OC 3"b c c c -> a c a a c c b
3.67/1.78	by OverlapClosure OC 2"b c -> a c b
3.67/1.78	by OverlapClosure OC 3"b c -> a c c b
3.67/1.78	by original rule (OC 1)""c -> 
3.67/1.78	by original rule (OC 1)"""b c c -> a a c c b
3.67/1.78	by OverlapClosure OC 3"b c c -> a c a c c b
3.67/1.78	by OverlapClosure OC 2"b c -> a c b
3.67/1.78	by OverlapClosure OC 3"b c -> a c c b
3.67/1.78	by original rule (OC 1)""c -> 
3.67/1.78	by original rule (OC 1)"""b c -> a c c b
3.67/1.78	by original rule (OC 1)"""c -> 
3.67/1.78	by original rule (OC 1)""""c -> 
3.67/1.78	by original rule (OC 1)"""a a a -> b
3.67/1.78	by original rule (OC 1)"""b c -> a c c b
3.67/1.78	by original rule (OC 1)"""a -> 
3.67/1.78	by original rule (OC 1)"
3.67/1.78	
3.67/1.78	----------------------------------------
3.67/1.78	
3.67/1.78	(2)
3.67/1.78	NO
3.67/1.80	EOF