3.28/1.57	NO
3.28/1.59	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.28/1.59	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.28/1.59	
3.28/1.59	
3.28/1.59	Termination w.r.t. Q of the given QTRS could be disproven:
3.28/1.59	
3.28/1.59	(0) QTRS
3.28/1.59	(1) NonTerminationProof [COMPLETE, 0 ms]
3.28/1.59	(2) NO
3.28/1.59	
3.28/1.59	
3.28/1.59	----------------------------------------
3.28/1.59	
3.28/1.59	(0)
3.28/1.59	Obligation:
3.28/1.59	Q restricted rewrite system:
3.28/1.59	The TRS R consists of the following rules:
3.28/1.59	
3.28/1.59	   a(x1) -> x1
3.28/1.59	   a(b(x1)) -> b(a(a(c(b(x1)))))
3.28/1.59	   b(x1) -> a(x1)
3.28/1.59	   c(c(x1)) -> x1
3.28/1.59	
3.28/1.59	Q is empty.
3.28/1.59	
3.28/1.59	----------------------------------------
3.28/1.59	
3.28/1.59	(1) NonTerminationProof (COMPLETE)
3.28/1.59	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.28/1.59	
3.28/1.59	Found the self-embedding DerivationStructure: 
3.28/1.59	"a b c b -> b a b c b"
3.28/1.59	a b c b -> b a b c b
3.28/1.59	by OverlapClosure OC 3"a b c b -> b a b a c b
3.28/1.59	by OverlapClosure OC 2"a b c -> b a a
3.28/1.59	by OverlapClosure OC 2"a b -> b a a c
3.28/1.59	by OverlapClosure OC 2"a b -> b a a c b
3.28/1.59	by original rule (OC 1)""b -> 
3.28/1.59	by OverlapClosure OC 2"b -> a
3.28/1.59	by original rule (OC 1)""a -> 
3.28/1.59	by original rule (OC 1)""""c c -> 
3.28/1.59	by original rule (OC 1)"""a b -> b a c b
3.28/1.59	by OverlapClosure OC 3"a b -> b a a c b
3.28/1.59	by original rule (OC 1)""a -> 
3.28/1.59	by original rule (OC 1)""""a -> 
3.28/1.59	by original rule (OC 1)"
3.28/1.59	
3.28/1.59	----------------------------------------
3.28/1.59	
3.28/1.59	(2)
3.28/1.59	NO
3.28/1.63	EOF