4.31/1.83	NO
4.31/1.85	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
4.31/1.85	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.31/1.85	
4.31/1.85	
4.31/1.85	Termination w.r.t. Q of the given QTRS could be disproven:
4.31/1.85	
4.31/1.85	(0) QTRS
4.31/1.85	(1) NonTerminationProof [COMPLETE, 86 ms]
4.31/1.85	(2) NO
4.31/1.85	
4.31/1.85	
4.31/1.85	----------------------------------------
4.31/1.85	
4.31/1.85	(0)
4.31/1.85	Obligation:
4.31/1.85	Q restricted rewrite system:
4.31/1.85	The TRS R consists of the following rules:
4.31/1.85	
4.31/1.85	   a(x1) -> x1
4.31/1.85	   a(b(x1)) -> b(c(b(a(a(x1)))))
4.31/1.85	   b(x1) -> a(x1)
4.31/1.85	   c(c(x1)) -> x1
4.31/1.85	
4.31/1.85	Q is empty.
4.31/1.85	
4.31/1.85	----------------------------------------
4.31/1.85	
4.31/1.85	(1) NonTerminationProof (COMPLETE)
4.31/1.85	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
4.31/1.85	
4.31/1.85	Found the self-embedding DerivationStructure: 
4.31/1.85	"a b b -> b c a b b"
4.31/1.85	a b b -> b c a b b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c a b c c b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c a b c b c b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c a b c b a c b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c b b c b a c b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c b b c b a a c b
4.31/1.85	by OverlapClosure OC 3"a b b -> b c b a b c b
4.31/1.85	by OverlapClosure OC 2"a b -> b c b a a
4.31/1.85	by original rule (OC 1)""a b -> b c b
4.31/1.85	by OverlapClosure OC 2"a b -> b c b a
4.31/1.85	by OverlapClosure OC 2"a b -> b c b a a
4.31/1.85	by original rule (OC 1)""a -> 
4.31/1.85	by original rule (OC 1)"""a -> 
4.31/1.85	by original rule (OC 1)""""a b -> b c b a a
4.31/1.85	by original rule (OC 1)"""a -> 
4.31/1.85	by original rule (OC 1)"""b -> a
4.31/1.85	by original rule (OC 1)"""a -> 
4.31/1.85	by original rule (OC 1)"""b -> 
4.31/1.85	by OverlapClosure OC 2"b -> a
4.31/1.85	by original rule (OC 1)""a -> 
4.31/1.85	by original rule (OC 1)""""c c -> 
4.31/1.85	by original rule (OC 1)"
4.31/1.85	
4.31/1.85	----------------------------------------
4.31/1.85	
4.31/1.85	(2)
4.31/1.85	NO
4.31/1.89	EOF