3.94/1.87	NO
3.94/1.87	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.94/1.87	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.94/1.87	
3.94/1.87	
3.94/1.87	Termination w.r.t. Q of the given QTRS could be disproven:
3.94/1.87	
3.94/1.87	(0) QTRS
3.94/1.87	(1) NonTerminationProof [COMPLETE, 40 ms]
3.94/1.87	(2) NO
3.94/1.87	
3.94/1.87	
3.94/1.87	----------------------------------------
3.94/1.87	
3.94/1.87	(0)
3.94/1.87	Obligation:
3.94/1.87	Q restricted rewrite system:
3.94/1.87	The TRS R consists of the following rules:
3.94/1.87	
3.94/1.87	   a(x1) -> x1
3.94/1.87	   a(b(x1)) -> b(b(a(a(c(a(x1))))))
3.94/1.87	   b(x1) -> x1
3.94/1.87	   c(c(x1)) -> x1
3.94/1.87	
3.94/1.87	Q is empty.
3.94/1.87	
3.94/1.87	----------------------------------------
3.94/1.87	
3.94/1.87	(1) NonTerminationProof (COMPLETE)
3.94/1.87	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.94/1.87	
3.94/1.87	Found the self-embedding DerivationStructure: 
3.94/1.87	"a b c b b -> a b c b b a a c a"
3.94/1.87	a b c b b -> a b c b b a a c a
3.94/1.87	by OverlapClosure OC 2"a b c b -> a b c a
3.94/1.87	by OverlapClosure OC 2"a b c -> a a
3.94/1.87	by OverlapClosure OC 3"a b c -> b a a
3.94/1.87	by OverlapClosure OC 3"a b c -> b b a a
3.94/1.87	by OverlapClosure OC 2"a b -> b b a a c
3.94/1.87	by OverlapClosure OC 2"a b -> b b a a c a
3.94/1.87	by original rule (OC 1)""a -> 
3.94/1.87	by original rule (OC 1)"""c c -> 
3.94/1.87	by original rule (OC 1)"""b -> 
3.94/1.87	by original rule (OC 1)"""b -> 
3.94/1.87	by original rule (OC 1)"""a b -> b c a
3.94/1.87	by OverlapClosure OC 3"a b -> b b c a
3.94/1.87	by OverlapClosure OC 3"a b -> b b a c a
3.94/1.87	by OverlapClosure OC 3"a b -> b b a a c a
3.94/1.87	by original rule (OC 1)""a -> 
3.94/1.87	by original rule (OC 1)"""a -> 
3.94/1.87	by original rule (OC 1)"""b -> 
3.94/1.87	by original rule (OC 1)""""a b -> b b a a c a
3.94/1.87	by original rule (OC 1)"
3.94/1.87	
3.94/1.87	----------------------------------------
3.94/1.87	
3.94/1.87	(2)
3.94/1.87	NO
4.13/1.90	EOF