27.49/7.89	NO
27.49/7.92	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
27.49/7.92	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
27.49/7.92	
27.49/7.92	
27.49/7.92	Termination w.r.t. Q of the given QTRS could be disproven:
27.49/7.92	
27.49/7.92	(0) QTRS
27.49/7.92	(1) NonTerminationProof [COMPLETE, 1394 ms]
27.49/7.92	(2) NO
27.49/7.92	
27.49/7.92	
27.49/7.92	----------------------------------------
27.49/7.92	
27.49/7.92	(0)
27.49/7.92	Obligation:
27.49/7.92	Q restricted rewrite system:
27.49/7.92	The TRS R consists of the following rules:
27.49/7.92	
27.49/7.92	   a(x1) -> x1
27.49/7.92	   a(x1) -> b(x1)
27.49/7.92	   a(b(c(x1))) -> c(c(b(a(a(x1)))))
27.49/7.92	   c(x1) -> x1
27.49/7.92	
27.49/7.92	Q is empty.
27.49/7.92	
27.49/7.92	----------------------------------------
27.49/7.92	
27.49/7.92	(1) NonTerminationProof (COMPLETE)
27.49/7.92	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
27.49/7.92	
27.49/7.92	Found the self-embedding DerivationStructure: 
27.49/7.92	"a b c b c c b c c -> b a b c b c c b c c b a a"
27.49/7.92	a b c b c c b c c -> b a b c b c c b c c b a a
27.49/7.92	by OverlapClosure OC 2"a b c b c c b c -> b a b c b c c b a b
27.49/7.92	by OverlapClosure OC 2"a b c b c c b c -> b a b c b c c b a a
27.49/7.92	by OverlapClosure OC 2"a b c b c c -> b a b c b a
27.49/7.92	by OverlapClosure OC 2"a b c -> b a a
27.49/7.92	by OverlapClosure OC 3"a b c -> c b a a
27.49/7.92	by OverlapClosure OC 3"a b c -> c c b a a
27.49/7.92	by original rule (OC 1)""c -> 
27.49/7.92	by original rule (OC 1)"""c -> 
27.49/7.92	by original rule (OC 1)"""a b c c -> b c b a
27.49/7.92	by OverlapClosure OC 3"a b c c -> b c c b a
27.49/7.92	by OverlapClosure OC 2"a b c c -> b c c b a a
27.49/7.92	by OverlapClosure OC 2"a b c -> b a b
27.49/7.92	by OverlapClosure OC 3"a b c -> c b a b
27.49/7.92	by OverlapClosure OC 2"a b c -> c b a a
27.49/7.92	by OverlapClosure OC 3"a b c -> c c b a a
27.49/7.92	by original rule (OC 1)""c -> 
27.49/7.92	by original rule (OC 1)"""a -> b
27.49/7.92	by original rule (OC 1)"""c -> 
27.49/7.92	by original rule (OC 1)"""a b c -> c c b a a
27.49/7.92	by original rule (OC 1)"""a -> 
27.49/7.92	by original rule (OC 1)"""c -> 
27.49/7.92	by original rule (OC 1)""""a b c -> c c b a a
27.49/7.92	by original rule (OC 1)"""a -> b
27.49/7.92	by original rule (OC 1)"""a b c -> c c b a a
27.49/7.92	by original rule (OC 1)"
27.49/7.92	
27.49/7.92	----------------------------------------
27.49/7.92	
27.49/7.92	(2)
27.49/7.92	NO
27.84/7.97	EOF