38.13/10.53	NO
38.13/10.53	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
38.13/10.53	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
38.13/10.53	
38.13/10.53	
38.13/10.53	Termination w.r.t. Q of the given QTRS could be disproven:
38.13/10.53	
38.13/10.53	(0) QTRS
38.13/10.53	(1) NonTerminationProof [COMPLETE, 2140 ms]
38.13/10.53	(2) NO
38.13/10.53	
38.13/10.53	
38.13/10.53	----------------------------------------
38.13/10.53	
38.13/10.53	(0)
38.13/10.53	Obligation:
38.13/10.53	Q restricted rewrite system:
38.13/10.53	The TRS R consists of the following rules:
38.13/10.53	
38.13/10.53	   a(x1) -> x1
38.13/10.53	   a(b(x1)) -> c(a(x1))
38.13/10.53	   c(c(x1)) -> b(b(c(b(a(x1)))))
38.13/10.53	
38.13/10.53	Q is empty.
38.13/10.53	
38.13/10.53	----------------------------------------
38.13/10.53	
38.13/10.53	(1) NonTerminationProof (COMPLETE)
38.13/10.53	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
38.13/10.53	
38.13/10.53	Found the self-embedding DerivationStructure: 
38.13/10.53	"a b b b c b b b c -> b b c b c b b c b a b b b c b b b c b"
38.13/10.53	a b b b c b b b c -> b b c b c b b c b a b b b c b b b c b
38.13/10.53	by OverlapClosure OC 3"a b b b c b b b c -> b b c b c b b c b a b b b c b a b b c b
38.13/10.53	by OverlapClosure OC 2"a b b b c -> b b c b c b b c b a b a
38.13/10.53	by OverlapClosure OC 3"a b b b c -> b b c b c c c b a
38.13/10.53	by OverlapClosure OC 3"a b b b c -> b b c b c a b c b a
38.13/10.53	by OverlapClosure OC 3"a b b b c -> b b c b a b b c b a
38.13/10.53	by OverlapClosure OC 2"a b b -> b b c b a a
38.13/10.53	by OverlapClosure OC 3"a b b -> c c a
38.13/10.53	by OverlapClosure OC 2"a b -> c a
38.13/10.53	by original rule (OC 1)""a b -> c a
38.13/10.53	by original rule (OC 1)"""c c -> b b c b a
38.13/10.53	by original rule (OC 1)"""a b c -> b b c b a
38.13/10.53	by OverlapClosure OC 2"a b -> c
38.13/10.53	by OverlapClosure OC 2"a b -> c a
38.13/10.53	by original rule (OC 1)""a -> 
38.13/10.53	by original rule (OC 1)"""c c -> b b c b a
38.13/10.53	by original rule (OC 1)""""a b -> c a
38.13/10.53	by original rule (OC 1)"""a b -> c
38.13/10.53	by OverlapClosure OC 2"a b -> c a
38.13/10.53	by original rule (OC 1)""a -> 
38.13/10.53	by original rule (OC 1)""""c c -> b b c b a
38.13/10.53	by original rule (OC 1)"""a b b b c -> b b c b a b b c b
38.13/10.53	by OverlapClosure OC 2"a b b -> b b c b a a
38.13/10.53	by OverlapClosure OC 3"a b b -> c c a
38.13/10.53	by OverlapClosure OC 2"a b -> c a
38.13/10.53	by original rule (OC 1)""a b -> c a
38.13/10.53	by original rule (OC 1)"""c c -> b b c b a
38.13/10.53	by original rule (OC 1)"""a b c -> b b c b
38.13/10.53	by OverlapClosure OC 2"a b -> c
38.13/10.53	by OverlapClosure OC 2"a b -> c a
38.13/10.53	by original rule (OC 1)""a -> 
38.13/10.53	by original rule (OC 1)"""c c -> b b c b
38.13/10.53	by OverlapClosure OC 2"c c -> b b c b a
38.13/10.53	by original rule (OC 1)""a -> 
38.13/10.53	by original rule (OC 1)""""""a -> 
38.13/10.53	by original rule (OC 1)"
38.13/10.53	
38.13/10.53	----------------------------------------
38.13/10.53	
38.13/10.53	(2)
38.13/10.53	NO
38.40/10.72	EOF