4.15/1.86	NO
4.15/1.89	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
4.15/1.89	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.15/1.89	
4.15/1.89	
4.15/1.89	Termination w.r.t. Q of the given QTRS could be disproven:
4.15/1.89	
4.15/1.89	(0) QTRS
4.15/1.89	(1) NonTerminationProof [COMPLETE, 66 ms]
4.15/1.89	(2) NO
4.15/1.89	
4.15/1.89	
4.15/1.89	----------------------------------------
4.15/1.89	
4.15/1.89	(0)
4.15/1.89	Obligation:
4.15/1.89	Q restricted rewrite system:
4.15/1.89	The TRS R consists of the following rules:
4.15/1.89	
4.15/1.89	   a(x1) -> x1
4.15/1.89	   a(b(x1)) -> b(b(c(a(x1))))
4.15/1.89	   b(x1) -> x1
4.15/1.89	   b(c(c(x1))) -> a(x1)
4.15/1.89	
4.15/1.89	Q is empty.
4.15/1.89	
4.15/1.89	----------------------------------------
4.15/1.89	
4.15/1.89	(1) NonTerminationProof (COMPLETE)
4.15/1.89	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
4.15/1.89	
4.15/1.89	Found the self-embedding DerivationStructure: 
4.15/1.89	"a b b b c b b -> a b b b c b b c a"
4.15/1.89	a b b b c b b -> a b b b c b b c a
4.15/1.89	by OverlapClosure OC 2"a b b b c b -> a b b b c a
4.15/1.89	by OverlapClosure OC 2"a b b b c -> a b a
4.15/1.89	by OverlapClosure OC 2"a b b b -> a b b c
4.15/1.89	by OverlapClosure OC 2"a b b -> a a
4.15/1.89	by OverlapClosure OC 3"a b b -> b c c a
4.15/1.89	by OverlapClosure OC 2"a b -> b c a
4.15/1.89	by OverlapClosure OC 3"a b -> b b c a
4.15/1.89	by original rule (OC 1)""b -> 
4.15/1.89	by original rule (OC 1)"""a b -> c a
4.15/1.89	by OverlapClosure OC 3"a b -> b c a
4.15/1.89	by OverlapClosure OC 3"a b -> b b c a
4.15/1.89	by original rule (OC 1)""b -> 
4.15/1.89	by original rule (OC 1)"""b -> 
4.15/1.89	by original rule (OC 1)""""b c c -> a
4.15/1.89	by original rule (OC 1)"""a b -> b b c
4.15/1.89	by OverlapClosure OC 2"a b -> b b c a
4.15/1.89	by original rule (OC 1)""a -> 
4.15/1.89	by original rule (OC 1)""""b c c -> a
4.15/1.89	by original rule (OC 1)"""a b -> b b c a
4.15/1.89	by original rule (OC 1)"""a b -> b b c a
4.15/1.89	by original rule (OC 1)"
4.15/1.89	
4.15/1.89	----------------------------------------
4.15/1.89	
4.15/1.89	(2)
4.15/1.89	NO
4.45/1.91	EOF