5.19/2.16	NO
5.65/2.22	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
5.65/2.22	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.65/2.22	
5.65/2.22	
5.65/2.22	Termination w.r.t. Q of the given QTRS could be disproven:
5.65/2.22	
5.65/2.22	(0) QTRS
5.65/2.22	(1) NonTerminationProof [COMPLETE, 135 ms]
5.65/2.22	(2) NO
5.65/2.22	
5.65/2.22	
5.65/2.22	----------------------------------------
5.65/2.22	
5.65/2.22	(0)
5.65/2.22	Obligation:
5.65/2.22	Q restricted rewrite system:
5.65/2.22	The TRS R consists of the following rules:
5.65/2.22	
5.65/2.22	   a(x1) -> x1
5.65/2.22	   a(x1) -> b(x1)
5.65/2.22	   b(a(c(x1))) -> c(c(a(b(a(x1)))))
5.65/2.22	   c(x1) -> x1
5.65/2.22	
5.65/2.22	Q is empty.
5.65/2.22	
5.65/2.22	----------------------------------------
5.65/2.22	
5.65/2.22	(1) NonTerminationProof (COMPLETE)
5.65/2.22	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
5.65/2.22	
5.65/2.22	Found the self-embedding DerivationStructure: 
5.65/2.22	"b a c c c c -> c b a c c c c a b a"
5.65/2.22	b a c c c c -> c b a c c c c a b a
5.65/2.22	by OverlapClosure OC 2"b a c c c -> c b a c c b a
5.65/2.22	by OverlapClosure OC 3"b a c c c -> c b a c c a b a
5.65/2.22	by OverlapClosure OC 2"b a c c -> c b a b a
5.65/2.22	by OverlapClosure OC 3"b a c c -> c b c a b a
5.65/2.22	by OverlapClosure OC 3"b a c c -> c a c a b a
5.65/2.22	by OverlapClosure OC 3"b a c c -> c a c c a b a
5.65/2.22	by OverlapClosure OC 2"b a c -> c a b a
5.65/2.22	by OverlapClosure OC 3"b a c -> c c a b a
5.65/2.22	by original rule (OC 1)""c -> 
5.65/2.22	by original rule (OC 1)"""b a c -> c c a b a
5.65/2.22	by original rule (OC 1)"""c -> 
5.65/2.22	by original rule (OC 1)"""a -> b
5.65/2.22	by original rule (OC 1)"""c -> 
5.65/2.22	by original rule (OC 1)"""b a c -> c c a b a
5.65/2.22	by original rule (OC 1)"""a -> 
5.65/2.22	by original rule (OC 1)"""b a c -> c c a b a
5.65/2.22	by original rule (OC 1)"
5.65/2.22	
5.65/2.22	----------------------------------------
5.65/2.22	
5.65/2.22	(2)
5.65/2.22	NO
5.65/2.27	EOF