19.68/5.88	NO
23.31/7.45	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
23.31/7.45	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
23.31/7.45	
23.31/7.45	
23.31/7.45	Termination w.r.t. Q of the given QTRS could be disproven:
23.31/7.45	
23.31/7.45	(0) QTRS
23.31/7.45	(1) NonTerminationProof [COMPLETE, 1256 ms]
23.31/7.45	(2) NO
23.31/7.45	
23.31/7.45	
23.31/7.45	----------------------------------------
23.31/7.45	
23.31/7.45	(0)
23.31/7.45	Obligation:
23.31/7.45	Q restricted rewrite system:
23.31/7.45	The TRS R consists of the following rules:
23.31/7.45	
23.31/7.45	   a(a(a(x1))) -> b(x1)
23.31/7.45	   b(c(x1)) -> c(c(a(a(a(a(x1))))))
23.31/7.45	
23.31/7.45	Q is empty.
23.31/7.45	
23.31/7.45	----------------------------------------
23.31/7.45	
23.31/7.45	(1) NonTerminationProof (COMPLETE)
23.31/7.45	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
23.31/7.45	
23.31/7.45	Found the self-embedding DerivationStructure: 
23.31/7.45	"b c a a c c a c c -> c c c c a c c a a c c a b c a a c c a c c b a"
23.31/7.45	b c a a c c a c c -> c c c c a c c a a c c a b c a a c c a c c b a
23.31/7.45	by OverlapClosure OC 2"b c a a c c a c -> c c c c a c c a a c c a b c a a c c a b
23.31/7.45	by OverlapClosure OC 2"b c a a c c a -> c c c c a c c a a c c a b c a a b
23.31/7.45	by OverlapClosure OC 3"b c a a c c a -> c c c c a c c a a b c c a a b
23.31/7.45	by OverlapClosure OC 2"b c a a c -> c c c c a c c a a b b
23.31/7.45	by OverlapClosure OC 3"b c a a c -> c c c c a b c a b
23.31/7.45	by OverlapClosure OC 3"b c a a c -> c c b c c a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c b a
23.31/7.45	by OverlapClosure OC 3"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)"""a a a c -> c c a b
23.31/7.45	by OverlapClosure OC 2"a a a c -> c c a a a a
23.31/7.45	by OverlapClosure OC 2"a a a -> b
23.31/7.45	by original rule (OC 1)""b c -> c c a a a a
23.31/7.45	by original rule (OC 1)"""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c -> c c a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c a -> c c a a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c a -> c c a a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c -> c c a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c -> c c a b
23.31/7.45	by OverlapClosure OC 2"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""""b c -> c c b a
23.31/7.45	by OverlapClosure OC 3"b c -> c c a a a a
23.31/7.45	by original rule (OC 1)""a a a -> b
23.31/7.45	by original rule (OC 1)""
23.31/7.45	
23.31/7.45	----------------------------------------
23.31/7.45	
23.31/7.45	(2)
23.31/7.45	NO
24.43/8.62	EOF