108.17/28.35	NO
108.17/28.35	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
108.17/28.35	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
108.17/28.35	
108.17/28.35	
108.17/28.35	Termination w.r.t. Q of the given QTRS could be disproven:
108.17/28.35	
108.17/28.35	(0) QTRS
108.17/28.35	(1) NonTerminationProof [COMPLETE, 4244 ms]
108.17/28.35	(2) NO
108.17/28.35	
108.17/28.35	
108.17/28.35	----------------------------------------
108.17/28.35	
108.17/28.35	(0)
108.17/28.35	Obligation:
108.17/28.35	Q restricted rewrite system:
108.17/28.35	The TRS R consists of the following rules:
108.17/28.35	
108.17/28.35	   a(x1) -> x1
108.17/28.35	   a(a(x1)) -> b(b(c(x1)))
108.17/28.35	   b(x1) -> x1
108.17/28.35	   c(b(x1)) -> b(a(c(x1)))
108.17/28.35	
108.17/28.35	Q is empty.
108.17/28.35	
108.17/28.35	----------------------------------------
108.17/28.35	
108.17/28.35	(1) NonTerminationProof (COMPLETE)
108.17/28.35	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
108.17/28.35	
108.17/28.35	Found the self-embedding DerivationStructure: 
108.17/28.35	"c b b b b b b -> b c b b b b b b c c c"
108.17/28.35	c b b b b b b -> b c b b b b b b c c c
108.17/28.35	by OverlapClosure OC 2"c b b -> b c c
108.17/28.35	by OverlapClosure OC 3"c b b -> a a c
108.17/28.35	by OverlapClosure OC 2"c b -> a c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""b -> 
108.17/28.35	by original rule (OC 1)"""c b -> a c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""b -> 
108.17/28.35	by original rule (OC 1)""""a a -> b c
108.17/28.35	by OverlapClosure OC 3"a a -> b b c
108.17/28.35	by original rule (OC 1)""b -> 
108.17/28.35	by original rule (OC 1)""""c b b b b -> b b b b b b c c c
108.17/28.35	by OverlapClosure OC 3"c b b b b -> b b b b a a c c
108.17/28.35	by OverlapClosure OC 3"c b b b b -> b b b b a c b c
108.17/28.35	by OverlapClosure OC 2"c b b b -> b b b b a c c
108.17/28.35	by OverlapClosure OC 3"c b b b -> b b b c b c
108.17/28.35	by OverlapClosure OC 2"c b b -> b b b c c
108.17/28.35	by OverlapClosure OC 3"c b b -> b a a c
108.17/28.35	by OverlapClosure OC 2"c b -> b a c
108.17/28.35	by original rule (OC 1)""c b -> a c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""b -> 
108.17/28.35	by original rule (OC 1)""""a a -> b b c
108.17/28.35	by original rule (OC 1)"""c b -> b c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""a -> 
108.17/28.35	by original rule (OC 1)""""c b -> b a c
108.17/28.35	by original rule (OC 1)"""c b -> b c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""a -> 
108.17/28.35	by original rule (OC 1)""""c b -> a c
108.17/28.35	by OverlapClosure OC 3"c b -> b a c
108.17/28.35	by original rule (OC 1)""b -> 
108.17/28.35	by original rule (OC 1)""""a a -> b b c
108.17/28.35	by original rule (OC 1)""
108.17/28.35	
108.17/28.35	----------------------------------------
108.17/28.35	
108.17/28.35	(2)
108.17/28.35	NO
108.43/31.81	EOF