5.11/2.00	NO
5.54/2.12	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
5.54/2.12	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.54/2.12	
5.54/2.12	
5.54/2.12	Termination w.r.t. Q of the given QTRS could be disproven:
5.54/2.12	
5.54/2.12	(0) QTRS
5.54/2.12	(1) NonTerminationProof [COMPLETE, 191 ms]
5.54/2.12	(2) NO
5.54/2.12	
5.54/2.12	
5.54/2.12	----------------------------------------
5.54/2.12	
5.54/2.12	(0)
5.54/2.12	Obligation:
5.54/2.12	Q restricted rewrite system:
5.54/2.12	The TRS R consists of the following rules:
5.54/2.12	
5.54/2.12	   a(x1) -> x1
5.54/2.12	   a(a(a(x1))) -> b(x1)
5.54/2.12	   b(c(x1)) -> c(a(c(b(x1))))
5.54/2.12	   c(x1) -> x1
5.54/2.12	
5.54/2.12	Q is empty.
5.54/2.12	
5.54/2.12	----------------------------------------
5.54/2.12	
5.54/2.12	(1) NonTerminationProof (COMPLETE)
5.54/2.12	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
5.54/2.12	
5.54/2.12	Found the self-embedding DerivationStructure: 
5.54/2.12	"b c c c c c -> b c c c c c b"
5.54/2.12	b c c c c c -> b c c c c c b
5.54/2.12	by OverlapClosure OC 3"b c c c c c -> b c c c c a c b
5.54/2.12	by OverlapClosure OC 2"b c c c -> b c b
5.54/2.12	by OverlapClosure OC 3"b c c c -> a a a c b
5.54/2.12	by OverlapClosure OC 3"b c c c -> a c a a c b
5.54/2.12	by OverlapClosure OC 2"b c -> a c b
5.54/2.12	by OverlapClosure OC 3"b c -> c a c b
5.54/2.12	by original rule (OC 1)""c -> 
5.54/2.12	by original rule (OC 1)"""b c c -> a a c b
5.54/2.12	by OverlapClosure OC 3"b c c -> a c a c b
5.54/2.12	by OverlapClosure OC 2"b c -> a c b
5.54/2.12	by OverlapClosure OC 3"b c -> c a c b
5.54/2.12	by original rule (OC 1)""c -> 
5.54/2.12	by original rule (OC 1)"""b c -> a c b
5.54/2.12	by OverlapClosure OC 3"b c -> c a c b
5.54/2.12	by original rule (OC 1)""c -> 
5.54/2.12	by original rule (OC 1)""""c -> 
5.54/2.12	by original rule (OC 1)""""c -> 
5.54/2.12	by original rule (OC 1)"""a a a -> b
5.54/2.12	by original rule (OC 1)"""b c c -> c c c a c b
5.54/2.12	by OverlapClosure OC 2"b c -> c c b
5.54/2.12	by OverlapClosure OC 3"b c -> c a c b
5.54/2.12	by original rule (OC 1)""a -> 
5.54/2.12	by original rule (OC 1)"""b c -> c a c b
5.54/2.12	by original rule (OC 1)""""a -> 
5.54/2.12	by original rule (OC 1)"
5.54/2.12	
5.54/2.12	----------------------------------------
5.54/2.12	
5.54/2.12	(2)
5.54/2.12	NO
5.54/2.17	EOF