7.28/2.68	NO
7.28/2.72	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
7.28/2.72	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.28/2.72	
7.28/2.72	
7.28/2.72	Termination w.r.t. Q of the given QTRS could be disproven:
7.28/2.72	
7.28/2.72	(0) QTRS
7.28/2.72	(1) NonTerminationProof [COMPLETE, 368 ms]
7.28/2.72	(2) NO
7.28/2.72	
7.28/2.72	
7.28/2.72	----------------------------------------
7.28/2.72	
7.28/2.72	(0)
7.28/2.72	Obligation:
7.28/2.72	Q restricted rewrite system:
7.28/2.72	The TRS R consists of the following rules:
7.28/2.72	
7.28/2.72	   a(x1) -> x1
7.28/2.72	   a(x1) -> b(x1)
7.28/2.72	   a(b(c(x1))) -> c(b(a(c(a(x1)))))
7.28/2.72	   c(x1) -> x1
7.28/2.72	
7.28/2.72	Q is empty.
7.28/2.72	
7.28/2.72	----------------------------------------
7.28/2.72	
7.28/2.72	(1) NonTerminationProof (COMPLETE)
7.28/2.72	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.28/2.72	
7.28/2.72	Found the self-embedding DerivationStructure: 
7.28/2.72	"a b c b c c b c -> b a b c b c c b c"
7.28/2.72	a b c b c c b c -> b a b c b c c b c
7.28/2.72	by OverlapClosure OC 3"a b c b c c b c -> b a b c b c c b a c
7.28/2.72	by OverlapClosure OC 2"a b c b c c -> b a b c b c a
7.28/2.72	by OverlapClosure OC 3"a b c b c c -> b a c b c b c a
7.28/2.72	by OverlapClosure OC 2"a b c -> b a c a
7.28/2.72	by OverlapClosure OC 3"a b c -> c b a c a
7.28/2.72	by original rule (OC 1)""c -> 
7.28/2.72	by original rule (OC 1)"""a b c c -> b c b c a
7.28/2.72	by OverlapClosure OC 2"a b c -> b a b
7.28/2.72	by OverlapClosure OC 3"a b c -> b a c b
7.28/2.72	by OverlapClosure OC 2"a b c -> b a c a
7.28/2.72	by OverlapClosure OC 3"a b c -> c b a c a
7.28/2.72	by original rule (OC 1)""c -> 
7.28/2.72	by original rule (OC 1)"""a -> b
7.28/2.72	by original rule (OC 1)"""c -> 
7.28/2.72	by original rule (OC 1)"""a b c -> c b c a
7.28/2.72	by OverlapClosure OC 3"a b c -> c b a c a
7.28/2.72	by original rule (OC 1)""a -> 
7.28/2.72	by original rule (OC 1)"""""c -> 
7.28/2.72	by original rule (OC 1)"""a b c -> c b a c
7.28/2.72	by OverlapClosure OC 2"a b c -> c b a c a
7.28/2.72	by original rule (OC 1)""a -> 
7.28/2.72	by original rule (OC 1)""""a -> 
7.28/2.72	by original rule (OC 1)"
7.28/2.72	
7.28/2.72	----------------------------------------
7.28/2.72	
7.28/2.72	(2)
7.28/2.72	NO
7.58/2.77	EOF