3.79/1.71	NO
3.79/1.73	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.79/1.73	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.79/1.73	
3.79/1.73	
3.79/1.73	Termination w.r.t. Q of the given QTRS could be disproven:
3.79/1.73	
3.79/1.73	(0) QTRS
3.79/1.73	(1) NonTerminationProof [COMPLETE, 24 ms]
3.79/1.73	(2) NO
3.79/1.73	
3.79/1.73	
3.79/1.73	----------------------------------------
3.79/1.73	
3.79/1.73	(0)
3.79/1.73	Obligation:
3.79/1.73	Q restricted rewrite system:
3.79/1.73	The TRS R consists of the following rules:
3.79/1.73	
3.79/1.73	   a(a(a(a(x1)))) -> a(c(a(c(c(x1)))))
3.79/1.73	   c(c(c(x1))) -> a(a(a(x1)))
3.79/1.73	
3.79/1.73	Q is empty.
3.79/1.73	
3.79/1.73	----------------------------------------
3.79/1.73	
3.79/1.73	(1) NonTerminationProof (COMPLETE)
3.79/1.73	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.79/1.73	
3.79/1.73	Found the self-embedding DerivationStructure: 
3.79/1.73	"a a a a c a a a c a a c a -> a c a a a a c a a a c a a c a c c"
3.79/1.73	a a a a c a a a c a a c a -> a c a a a a c a a a c a a c a c c
3.79/1.73	by OverlapClosure OC 2"a a a a c -> a c a a a a
3.79/1.73	by OverlapClosure OC 2"a a a a -> a c a c c
3.79/1.73	by original rule (OC 1)""c c c -> a a a
3.79/1.73	by original rule (OC 1)"""a a a a c a a c a -> a c a a a c a a c a c c
3.79/1.73	by OverlapClosure OC 2"a a a a -> a c a c c
3.79/1.73	by original rule (OC 1)""c c c a a c a -> a a c a a c a c c
3.79/1.73	by OverlapClosure OC 2"c c c -> a a a
3.79/1.73	by original rule (OC 1)""a a a a c a -> a c a a c a c c
3.79/1.73	by OverlapClosure OC 2"a a a a -> a c a c c
3.79/1.73	by original rule (OC 1)""c c c a -> a c a c c
3.79/1.73	by OverlapClosure OC 2"c c c -> a a a
3.79/1.73	by original rule (OC 1)""a a a a -> a c a c c
3.79/1.73	by original rule (OC 1)"""""
3.79/1.73	
3.79/1.73	----------------------------------------
3.79/1.73	
3.79/1.73	(2)
3.79/1.73	NO
3.79/1.76	EOF