3.44/1.66	NO
3.44/1.68	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
3.44/1.68	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.44/1.68	
3.44/1.68	
3.44/1.68	Termination w.r.t. Q of the given QTRS could be disproven:
3.44/1.68	
3.44/1.68	(0) QTRS
3.44/1.68	(1) NonTerminationProof [COMPLETE, 0 ms]
3.44/1.68	(2) NO
3.44/1.68	
3.44/1.68	
3.44/1.68	----------------------------------------
3.44/1.68	
3.44/1.68	(0)
3.44/1.68	Obligation:
3.44/1.68	Q restricted rewrite system:
3.44/1.68	The TRS R consists of the following rules:
3.44/1.68	
3.44/1.68	   a(x1) -> x1
3.44/1.68	   a(b(x1)) -> b(a(a(c(a(a(x1))))))
3.44/1.68	   c(c(x1)) -> b(x1)
3.44/1.68	
3.44/1.68	Q is empty.
3.44/1.68	
3.44/1.68	----------------------------------------
3.44/1.68	
3.44/1.68	(1) NonTerminationProof (COMPLETE)
3.44/1.68	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
3.44/1.68	
3.44/1.68	Found the self-embedding DerivationStructure: 
3.44/1.68	"a b c -> b a b c"
3.44/1.68	a b c -> b a b c
3.44/1.68	by OverlapClosure OC 3"a b c -> b a b a c
3.44/1.68	by OverlapClosure OC 2"a b c -> b a a b
3.44/1.68	by OverlapClosure OC 2"a b -> b a a c
3.44/1.68	by OverlapClosure OC 2"a b -> b a a c a
3.44/1.68	by OverlapClosure OC 2"a b -> b a a c a a
3.44/1.68	by original rule (OC 1)""a -> 
3.44/1.68	by original rule (OC 1)"""a -> 
3.44/1.68	by original rule (OC 1)"""c c -> b
3.44/1.68	by original rule (OC 1)"""a b -> b a c
3.44/1.68	by OverlapClosure OC 3"a b -> b a a c
3.44/1.68	by OverlapClosure OC 2"a b -> b a a c a
3.44/1.68	by OverlapClosure OC 2"a b -> b a a c a a
3.44/1.68	by original rule (OC 1)""a -> 
3.44/1.68	by original rule (OC 1)"""a -> 
3.44/1.68	by original rule (OC 1)"""a -> 
3.44/1.68	by original rule (OC 1)""""a -> 
3.44/1.68	by original rule (OC 1)"
3.44/1.68	
3.44/1.68	----------------------------------------
3.44/1.68	
3.44/1.68	(2)
3.44/1.68	NO
3.54/1.72	EOF