35.69/9.56	NO
35.69/9.57	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
35.69/9.57	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
35.69/9.57	
35.69/9.57	
35.69/9.57	Termination w.r.t. Q of the given QTRS could be disproven:
35.69/9.57	
35.69/9.57	(0) QTRS
35.69/9.57	(1) NonTerminationProof [COMPLETE, 2103 ms]
35.69/9.57	(2) NO
35.69/9.57	
35.69/9.57	
35.69/9.57	----------------------------------------
35.69/9.57	
35.69/9.57	(0)
35.69/9.57	Obligation:
35.69/9.57	Q restricted rewrite system:
35.69/9.57	The TRS R consists of the following rules:
35.69/9.57	
35.69/9.57	   a(a(x1)) -> b(x1)
35.69/9.57	   a(b(c(x1))) -> a(c(c(a(a(a(x1))))))
35.69/9.57	
35.69/9.57	Q is empty.
35.69/9.57	
35.69/9.57	----------------------------------------
35.69/9.57	
35.69/9.57	(1) NonTerminationProof (COMPLETE)
35.69/9.57	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
35.69/9.57	
35.69/9.57	Found the self-embedding DerivationStructure: 
35.69/9.57	"a b c c b c c a c c -> a c c a c c a c c a c c a a b c c b c c a c c a a a"
35.69/9.57	a b c c b c c a c c -> a c c a c c a c c a c c a a b c c b c c a c c a a a
35.69/9.57	by OverlapClosure OC 2"a b c c b c c a c -> a c c a c c a c c a c c a a b c c b c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a a -> b
35.69/9.57	by original rule (OC 1)"""a b c b c c a c -> a c c a c c a c c a a b c c b c c a b
35.69/9.57	by OverlapClosure OC 3"a b c b c c a c -> a c c a c c a c c a a a a c c b c c a b
35.69/9.57	by OverlapClosure OC 3"a b c b c c a c -> a c c a c c a b c a c c b c c a b
35.69/9.57	by OverlapClosure OC 2"a b c b c -> a c c a c c a b c a b
35.69/9.57	by OverlapClosure OC 3"a b c b c -> a c c a b c c a b
35.69/9.57	by OverlapClosure OC 3"a b c b c -> a c c a a a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a b c -> a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a a -> b
35.69/9.57	by original rule (OC 1)""""a a -> b
35.69/9.57	by original rule (OC 1)"""a b c -> a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a a -> b
35.69/9.57	by original rule (OC 1)""""a b c a c -> a c c b c c a b
35.69/9.57	by OverlapClosure OC 3"a b c a c -> a c c a a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c a -> a c c a a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a a -> b
35.69/9.57	by original rule (OC 1)"""a b c -> a c c a b
35.69/9.57	by OverlapClosure OC 2"a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)""a a -> b
35.69/9.57	by original rule (OC 1)""""a a -> b
35.69/9.57	by original rule (OC 1)""""a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)"""a a -> b
35.69/9.57	by original rule (OC 1)""""a b c -> a c c a a a
35.69/9.57	by original rule (OC 1)"
35.69/9.57	
35.69/9.57	----------------------------------------
35.69/9.57	
35.69/9.57	(2)
35.69/9.57	NO
35.88/9.60	EOF