7.12/2.63	NO
7.44/2.66	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
7.44/2.66	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.44/2.66	
7.44/2.66	
7.44/2.66	Termination w.r.t. Q of the given QTRS could be disproven:
7.44/2.66	
7.44/2.66	(0) QTRS
7.44/2.66	(1) NonTerminationProof [COMPLETE, 381 ms]
7.44/2.66	(2) NO
7.44/2.66	
7.44/2.66	
7.44/2.66	----------------------------------------
7.44/2.66	
7.44/2.66	(0)
7.44/2.66	Obligation:
7.44/2.66	Q restricted rewrite system:
7.44/2.66	The TRS R consists of the following rules:
7.44/2.66	
7.44/2.66	   a(x1) -> x1
7.44/2.66	   a(b(x1)) -> b(c(b(a(x1))))
7.44/2.66	   b(x1) -> a(x1)
7.44/2.66	   c(c(x1)) -> x1
7.44/2.66	
7.44/2.66	Q is empty.
7.44/2.66	
7.44/2.66	----------------------------------------
7.44/2.66	
7.44/2.66	(1) NonTerminationProof (COMPLETE)
7.44/2.66	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.44/2.66	
7.44/2.66	Found the self-embedding DerivationStructure: 
7.44/2.66	"a b b c b -> a b b c b"
7.44/2.66	a b b c b -> a b b c b
7.44/2.66	by OverlapClosure OC 3"a b b c b -> b b b c b
7.44/2.66	by OverlapClosure OC 2"a b b c -> b b a
7.44/2.66	by OverlapClosure OC 3"a b b c -> b c c b a
7.44/2.66	by OverlapClosure OC 2"a b b -> b c c b a c
7.44/2.66	by OverlapClosure OC 3"a b b -> b c b c b a c
7.44/2.66	by OverlapClosure OC 3"a b b -> b c a b c
7.44/2.66	by OverlapClosure OC 3"a b b -> b c b b c
7.44/2.66	by OverlapClosure OC 2"a b -> b c b a
7.44/2.66	by original rule (OC 1)""a b -> b c
7.44/2.66	by OverlapClosure OC 2"a b -> b c b
7.44/2.66	by OverlapClosure OC 2"a b -> b c b a
7.44/2.66	by original rule (OC 1)""a -> 
7.44/2.66	by original rule (OC 1)"""b -> 
7.44/2.66	by OverlapClosure OC 2"b -> a
7.44/2.66	by original rule (OC 1)""a -> 
7.44/2.66	by original rule (OC 1)"""""b -> a
7.44/2.66	by original rule (OC 1)"""a b -> b c b a
7.44/2.66	by original rule (OC 1)"""b -> 
7.44/2.66	by OverlapClosure OC 2"b -> a
7.44/2.66	by original rule (OC 1)""a -> 
7.44/2.66	by original rule (OC 1)""""c c -> 
7.44/2.66	by original rule (OC 1)"""c c -> 
7.44/2.66	by original rule (OC 1)"""a b -> b c b
7.44/2.66	by OverlapClosure OC 2"a b -> b c b a
7.44/2.66	by original rule (OC 1)""a -> 
7.44/2.66	by original rule (OC 1)""""b -> a
7.44/2.66	by original rule (OC 1)"
7.44/2.66	
7.44/2.66	----------------------------------------
7.44/2.66	
7.44/2.66	(2)
7.44/2.66	NO
7.51/2.72	EOF