36.24/10.04	NO
38.36/11.74	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
38.36/11.74	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
38.36/11.74	
38.36/11.74	
38.36/11.74	Termination w.r.t. Q of the given QTRS could be disproven:
38.36/11.74	
38.36/11.74	(0) QTRS
38.36/11.74	(1) NonTerminationProof [COMPLETE, 2116 ms]
38.36/11.74	(2) NO
38.36/11.74	
38.36/11.74	
38.36/11.74	----------------------------------------
38.36/11.74	
38.36/11.74	(0)
38.36/11.74	Obligation:
38.36/11.74	Q restricted rewrite system:
38.36/11.74	The TRS R consists of the following rules:
38.36/11.74	
38.36/11.74	   a(x1) -> x1
38.36/11.74	   a(b(x1)) -> b(c(a(x1)))
38.36/11.74	   c(a(c(x1))) -> b(a(a(x1)))
38.36/11.74	
38.36/11.74	Q is empty.
38.36/11.74	
38.36/11.74	----------------------------------------
38.36/11.74	
38.36/11.74	(1) NonTerminationProof (COMPLETE)
38.36/11.74	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
38.36/11.74	
38.36/11.74	Found the self-embedding DerivationStructure: 
38.36/11.74	"a b c b b c b c -> b b b b a b c b b c b c a"
38.36/11.74	a b c b b c b c -> b b b b a b c b b c b c a
38.36/11.74	by OverlapClosure OC 2"a b c b b c b c -> b b b b a b c b b c a b
38.36/11.74	by OverlapClosure OC 3"a b c b b c b c -> b b b b a b c b a b b
38.36/11.74	by OverlapClosure OC 2"a b c b b c -> b b b b a b c b a a
38.36/11.74	by OverlapClosure OC 3"a b c b b c -> b b b b a b c a b a a
38.36/11.74	by OverlapClosure OC 2"a b c b b -> b b b b a b c a c a
38.36/11.74	by OverlapClosure OC 3"a b c b b -> b b b b a a b c a
38.36/11.74	by OverlapClosure OC 2"a b c b -> b b b b a a a
38.36/11.74	by OverlapClosure OC 3"a b c b -> b b b c a c a
38.36/11.74	by OverlapClosure OC 3"a b c b -> b b a b c a
38.36/11.74	by OverlapClosure OC 2"a b c -> b b a a
38.36/11.74	by OverlapClosure OC 2"a b -> b c a
38.36/11.74	by original rule (OC 1)""c a c -> b a a
38.36/11.74	by original rule (OC 1)"""a b -> b c a
38.36/11.74	by original rule (OC 1)"""a b -> b c a
38.36/11.74	by original rule (OC 1)"""c a c -> b a a
38.36/11.74	by original rule (OC 1)"""a b -> b c a
38.36/11.74	by original rule (OC 1)"""a b -> b c a
38.36/11.74	by original rule (OC 1)"""c a c -> b a a
38.36/11.74	by original rule (OC 1)"""a -> 
38.36/11.74	by original rule (OC 1)"""a b c -> b b
38.36/11.74	by OverlapClosure OC 2"a b c -> b b a
38.36/11.74	by OverlapClosure OC 2"a b c -> b b a a
38.36/11.74	by OverlapClosure OC 2"a b -> b c a
38.36/11.74	by original rule (OC 1)""c a c -> b a a
38.36/11.74	by original rule (OC 1)"""a -> 
38.36/11.74	by original rule (OC 1)"""a -> 
38.36/11.74	by original rule (OC 1)""""a b -> b c a
38.36/11.74	by original rule (OC 1)"""a b -> b c a
38.36/11.74	by original rule (OC 1)"
38.36/11.74	
38.36/11.74	----------------------------------------
38.36/11.74	
38.36/11.74	(2)
38.36/11.74	NO
38.39/12.13	EOF