17.12/5.23	NO
17.12/5.27	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
17.12/5.27	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.12/5.27	
17.12/5.27	
17.12/5.27	Termination w.r.t. Q of the given QTRS could be disproven:
17.12/5.27	
17.12/5.27	(0) QTRS
17.12/5.27	(1) NonTerminationProof [COMPLETE, 649 ms]
17.12/5.27	(2) NO
17.12/5.27	
17.12/5.27	
17.12/5.27	----------------------------------------
17.12/5.27	
17.12/5.27	(0)
17.12/5.27	Obligation:
17.12/5.27	Q restricted rewrite system:
17.12/5.27	The TRS R consists of the following rules:
17.12/5.27	
17.12/5.27	   a(x1) -> x1
17.12/5.27	   a(x1) -> b(c(x1))
17.12/5.27	   c(b(b(b(x1)))) -> b(a(b(a(x1))))
17.12/5.27	
17.12/5.27	Q is empty.
17.12/5.27	
17.12/5.27	----------------------------------------
17.12/5.27	
17.12/5.27	(1) NonTerminationProof (COMPLETE)
17.12/5.27	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
17.12/5.27	
17.12/5.27	Found the self-embedding DerivationStructure: 
17.12/5.27	"c b b b b b b b b b -> b b c b b b b b b b b b c c"
17.12/5.27	c b b b b b b b b b -> b b c b b b b b b b b b c c
17.12/5.27	by OverlapClosure OC 3"c b b b b b b b b b -> b b c b b b b b b b a b b c c
17.12/5.27	by OverlapClosure OC 2"c b b b -> b b c b a
17.12/5.27	by OverlapClosure OC 3"c b b b -> b a b a
17.12/5.27	by original rule (OC 1)""a -> b c
17.12/5.27	by original rule (OC 1)"""a b b b b b b -> b b b b b b a b b c c
17.12/5.27	by OverlapClosure OC 3"a b b b b b b -> b b b b a b b b c
17.12/5.27	by OverlapClosure OC 3"a b b b b b b -> b b a b b b b b c
17.12/5.27	by OverlapClosure OC 2"a -> b c
17.12/5.27	by original rule (OC 1)""c b b b b b b -> b a b b b b b c
17.12/5.27	by OverlapClosure OC 2"c b b b -> b a b a
17.12/5.27	by original rule (OC 1)""a b b b -> b b b b c
17.12/5.27	by OverlapClosure OC 2"a -> b c
17.12/5.27	by original rule (OC 1)""c b b b -> b b b c
17.12/5.27	by OverlapClosure OC 2"c b b b -> b b a
17.12/5.27	by OverlapClosure OC 3"c b b b -> b a b a
17.12/5.27	by original rule (OC 1)""a -> 
17.12/5.27	by original rule (OC 1)"""a -> b c
17.12/5.27	by original rule (OC 1)""""""a b b b -> b b a b
17.12/5.27	by OverlapClosure OC 2"a -> b c
17.12/5.27	by original rule (OC 1)""c b b b -> b a b
17.12/5.27	by OverlapClosure OC 2"c b b b -> b a b a
17.12/5.27	by original rule (OC 1)""a -> 
17.12/5.27	by original rule (OC 1)"""""a b b b -> b b a b b c
17.12/5.27	by OverlapClosure OC 2"a -> b c
17.12/5.27	by original rule (OC 1)""c b b b -> b a b b c
17.12/5.27	by OverlapClosure OC 2"c b b b -> b a b a
17.12/5.27	by original rule (OC 1)""a -> b c
17.12/5.27	by original rule (OC 1)""""""a -> 
17.12/5.27	by original rule (OC 1)"
17.12/5.27	
17.12/5.27	----------------------------------------
17.12/5.27	
17.12/5.27	(2)
17.12/5.27	NO
17.51/5.40	EOF