87.72/23.13	NO
87.72/23.14	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
87.72/23.14	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
87.72/23.14	
87.72/23.14	
87.72/23.14	Termination w.r.t. Q of the given QTRS could be disproven:
87.72/23.14	
87.72/23.14	(0) QTRS
87.72/23.14	(1) NonTerminationProof [COMPLETE, 3677 ms]
87.72/23.14	(2) NO
87.72/23.14	
87.72/23.14	
87.72/23.14	----------------------------------------
87.72/23.14	
87.72/23.14	(0)
87.72/23.14	Obligation:
87.72/23.14	Q restricted rewrite system:
87.72/23.14	The TRS R consists of the following rules:
87.72/23.14	
87.72/23.14	   a(a(x1)) -> b(x1)
87.72/23.14	   b(a(c(x1))) -> c(c(a(a(a(a(x1))))))
87.72/23.14	
87.72/23.14	Q is empty.
87.72/23.14	
87.72/23.14	----------------------------------------
87.72/23.14	
87.72/23.14	(1) NonTerminationProof (COMPLETE)
87.72/23.14	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
87.72/23.14	
87.72/23.14	Found the self-embedding DerivationStructure: 
87.72/23.14	"b a c a a c c a c c -> c c c c a c c b c c a b a c a a c c a c c a a a a"
87.72/23.14	b a c a a c c a c c -> c c c c a c c b c c a b a c a a c c a c c a a a a
87.72/23.14	by OverlapClosure OC 2"b a c a a c c a c -> c c c c a c c b c c a b a c a a c c a b a
87.72/23.14	by OverlapClosure OC 2"b a c a a c c -> c c c c a c c b c c a b a c a a b
87.72/23.14	by OverlapClosure OC 3"b a c a a c c -> c c c c a c c b c c a a a a c a a b
87.72/23.14	by OverlapClosure OC 3"b a c a a c c -> c c c c a c c b b a c c a a b
87.72/23.14	by OverlapClosure OC 2"b a c a a c -> c c c c a c c b b a b a
87.72/23.14	by OverlapClosure OC 3"b a c a a c -> c c c c a b a c a b a
87.72/23.14	by OverlapClosure OC 3"b a c a a c -> c c c c a a a a c a b a
87.72/23.14	by OverlapClosure OC 3"b a c a a c -> c c b a c c a b a
87.72/23.14	by OverlapClosure OC 2"b a c -> c c b a a
87.72/23.14	by OverlapClosure OC 3"b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)""a a -> b
87.72/23.14	by original rule (OC 1)"""a a a c -> c c a b a
87.72/23.14	by OverlapClosure OC 3"a a a c -> c c a a a a
87.72/23.14	by OverlapClosure OC 2"a a -> b
87.72/23.14	by original rule (OC 1)""b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)"""a a -> b
87.72/23.14	by original rule (OC 1)""""b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)"""a a -> b
87.72/23.14	by original rule (OC 1)"""b a c -> c c b b
87.72/23.14	by OverlapClosure OC 3"b a c -> c c a a b
87.72/23.14	by OverlapClosure OC 2"b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)""a a -> b
87.72/23.14	by original rule (OC 1)"""a a -> b
87.72/23.14	by original rule (OC 1)""""b a c -> c c a a b
87.72/23.14	by OverlapClosure OC 2"b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)""a a -> b
87.72/23.14	by original rule (OC 1)""""b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)"""a a -> b
87.72/23.14	by original rule (OC 1)"""b a c -> c c a b a
87.72/23.14	by OverlapClosure OC 3"b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)""a a -> b
87.72/23.14	by original rule (OC 1)""""b a c -> c c a a a a
87.72/23.14	by original rule (OC 1)"
87.72/23.14	
87.72/23.14	----------------------------------------
87.72/23.14	
87.72/23.14	(2)
87.72/23.14	NO
88.00/23.18	EOF