4.06/1.73	NO
4.20/1.77	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
4.20/1.77	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
4.20/1.77	
4.20/1.77	
4.20/1.77	Termination w.r.t. Q of the given QTRS could be disproven:
4.20/1.77	
4.20/1.77	(0) QTRS
4.20/1.77	(1) NonTerminationProof [COMPLETE, 77 ms]
4.20/1.77	(2) NO
4.20/1.77	
4.20/1.77	
4.20/1.77	----------------------------------------
4.20/1.77	
4.20/1.77	(0)
4.20/1.77	Obligation:
4.20/1.77	Q restricted rewrite system:
4.20/1.77	The TRS R consists of the following rules:
4.20/1.77	
4.20/1.77	   a(x1) -> x1
4.20/1.77	   a(b(x1)) -> b(a(c(b(c(x1)))))
4.20/1.77	   b(x1) -> a(x1)
4.20/1.77	   c(c(x1)) -> x1
4.20/1.77	
4.20/1.77	Q is empty.
4.20/1.77	
4.20/1.77	----------------------------------------
4.20/1.77	
4.20/1.77	(1) NonTerminationProof (COMPLETE)
4.20/1.77	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
4.20/1.77	
4.20/1.77	Found the self-embedding DerivationStructure: 
4.20/1.77	"a b c b -> a b c b c c"
4.20/1.77	a b c b -> a b c b c c
4.20/1.77	by OverlapClosure OC 3"a b c b -> a a b c
4.20/1.77	by OverlapClosure OC 3"a b c b -> a a c c b c
4.20/1.77	by OverlapClosure OC 2"a b c -> a a c b
4.20/1.77	by OverlapClosure OC 2"a b -> a a c b c
4.20/1.77	by OverlapClosure OC 3"a b -> b a c b c
4.20/1.77	by original rule (OC 1)""b -> a
4.20/1.77	by original rule (OC 1)"""c c -> 
4.20/1.77	by original rule (OC 1)"""b b -> c b c
4.20/1.77	by OverlapClosure OC 2"b -> a
4.20/1.77	by original rule (OC 1)""a b -> c b c
4.20/1.77	by OverlapClosure OC 3"a b -> b c b c
4.20/1.77	by OverlapClosure OC 3"a b -> b a c b c
4.20/1.77	by original rule (OC 1)""a -> 
4.20/1.77	by original rule (OC 1)"""b -> 
4.20/1.77	by OverlapClosure OC 2"b -> a
4.20/1.77	by original rule (OC 1)""a -> 
4.20/1.77	by original rule (OC 1)""""""c c -> 
4.20/1.77	by original rule (OC 1)"""a b -> b c b c
4.20/1.77	by OverlapClosure OC 3"a b -> b a c b c
4.20/1.77	by original rule (OC 1)""a -> 
4.20/1.77	by original rule (OC 1)""
4.20/1.77	
4.20/1.77	----------------------------------------
4.20/1.77	
4.20/1.77	(2)
4.20/1.77	NO
4.20/1.79	EOF