3.54/1.80	NO
3.75/1.82	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.75/1.82	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.75/1.82	
3.75/1.82	
3.75/1.82	Termination w.r.t. Q of the given QTRS could be disproven:
3.75/1.82	
3.75/1.82	(0) QTRS
3.75/1.82	(1) NonTerminationProof [COMPLETE, 51 ms]
3.75/1.82	(2) NO
3.75/1.82	
3.75/1.82	
3.75/1.82	----------------------------------------
3.75/1.82	
3.75/1.82	(0)
3.75/1.82	Obligation:
3.75/1.82	Q restricted rewrite system:
3.75/1.82	The TRS R consists of the following rules:
3.75/1.82	
3.75/1.82	   a(x1) -> x1
3.75/1.82	   a(b(x1)) -> b(c(b(a(c(a(a(x1)))))))
3.75/1.82	   c(c(x1)) -> x1
3.75/1.82	
3.75/1.82	Q is empty.
3.75/1.82	
3.75/1.82	----------------------------------------
3.75/1.82	
3.75/1.82	(1) NonTerminationProof (COMPLETE)
3.75/1.82	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.75/1.82	
3.75/1.82	Found the self-embedding DerivationStructure: 
3.75/1.82	"a b c b b c b -> b c b b c b c a b c b b c b a c a a"
3.75/1.82	a b c b b c b -> b c b b c b c a b c b b c b a c a a
3.75/1.82	by OverlapClosure OC 2"a b c b b c -> b c b b c b c a b c b a
3.75/1.82	by OverlapClosure OC 2"a b c b b -> b c b b c b c a b c b a c
3.75/1.82	by OverlapClosure OC 2"a b c -> b c b a
3.75/1.82	by OverlapClosure OC 2"a b -> b c b a c
3.75/1.82	by OverlapClosure OC 2"a b -> b c b a c a
3.75/1.82	by OverlapClosure OC 2"a b -> b c b a c a a
3.75/1.82	by original rule (OC 1)""a -> 
3.75/1.82	by original rule (OC 1)"""a -> 
3.75/1.82	by original rule (OC 1)"""c c -> 
3.75/1.82	by original rule (OC 1)"""a b b -> b c b c a b c b a c
3.75/1.82	by OverlapClosure OC 2"a b -> b c b c a a
3.75/1.82	by OverlapClosure OC 3"a b -> b c b a c a a
3.75/1.82	by original rule (OC 1)""a -> 
3.75/1.82	by original rule (OC 1)"""a b -> b c b a c
3.75/1.82	by OverlapClosure OC 2"a b -> b c b a c a
3.75/1.82	by OverlapClosure OC 2"a b -> b c b a c a a
3.75/1.82	by original rule (OC 1)""a -> 
3.75/1.82	by original rule (OC 1)"""a -> 
3.75/1.82	by original rule (OC 1)"""""c c -> 
3.75/1.82	by original rule (OC 1)"""a b -> b c b a c a a
3.75/1.82	by original rule (OC 1)"
3.75/1.82	
3.75/1.82	----------------------------------------
3.75/1.82	
3.75/1.82	(2)
3.75/1.82	NO
3.80/1.86	EOF