6.54/2.43	NO
7.25/2.65	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
7.25/2.65	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.25/2.65	
7.25/2.65	
7.25/2.65	Termination w.r.t. Q of the given QTRS could be disproven:
7.25/2.65	
7.25/2.65	(0) QTRS
7.25/2.65	(1) NonTerminationProof [COMPLETE, 339 ms]
7.25/2.65	(2) NO
7.25/2.65	
7.25/2.65	
7.25/2.65	----------------------------------------
7.25/2.65	
7.25/2.65	(0)
7.25/2.65	Obligation:
7.25/2.65	Q restricted rewrite system:
7.25/2.65	The TRS R consists of the following rules:
7.25/2.65	
7.25/2.65	   a(x1) -> x1
7.25/2.65	   a(x1) -> b(x1)
7.25/2.65	   b(b(c(x1))) -> c(c(a(a(a(x1)))))
7.25/2.65	   c(x1) -> x1
7.25/2.65	
7.25/2.65	Q is empty.
7.25/2.65	
7.25/2.65	----------------------------------------
7.25/2.65	
7.25/2.65	(1) NonTerminationProof (COMPLETE)
7.25/2.65	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.25/2.65	
7.25/2.65	Found the self-embedding DerivationStructure: 
7.25/2.65	"a b c b c c -> a b c b c c a a a"
7.25/2.65	a b c b c c -> a b c b c c a a a
7.25/2.65	by OverlapClosure OC 2"a b c b c -> a b c b b b
7.25/2.65	by OverlapClosure OC 3"a b c b c -> a b c b a b
7.25/2.65	by OverlapClosure OC 3"a b c b c -> a b c a a b
7.25/2.65	by OverlapClosure OC 3"a b c b c -> a a c a a b
7.25/2.65	by OverlapClosure OC 2"a b c b c -> a a c a a a
7.25/2.65	by OverlapClosure OC 2"a -> b
7.25/2.65	by original rule (OC 1)""b b c b c -> a a c a a a
7.25/2.65	by OverlapClosure OC 2"b b c -> a a a
7.25/2.65	by OverlapClosure OC 3"b b c -> c a a a
7.25/2.65	by OverlapClosure OC 3"b b c -> c c a a a
7.25/2.65	by original rule (OC 1)""c -> 
7.25/2.65	by original rule (OC 1)"""c -> 
7.25/2.65	by original rule (OC 1)"""a b c -> c a a a
7.25/2.65	by OverlapClosure OC 2"a -> b
7.25/2.65	by original rule (OC 1)""b b c -> c a a a
7.25/2.65	by OverlapClosure OC 3"b b c -> c c a a a
7.25/2.65	by original rule (OC 1)""c -> 
7.25/2.65	by original rule (OC 1)""""""a -> b
7.25/2.65	by original rule (OC 1)"""a -> b
7.25/2.65	by original rule (OC 1)"""a -> b
7.25/2.65	by original rule (OC 1)"""a -> b
7.25/2.65	by original rule (OC 1)"""b b c -> c c a a a
7.25/2.65	by original rule (OC 1)"
7.25/2.65	
7.25/2.65	----------------------------------------
7.25/2.65	
7.25/2.65	(2)
7.25/2.65	NO
7.49/2.70	EOF