11.40/3.74	NO
11.96/3.80	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
11.96/3.80	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.96/3.80	
11.96/3.80	
11.96/3.80	Termination w.r.t. Q of the given QTRS could be disproven:
11.96/3.80	
11.96/3.80	(0) QTRS
11.96/3.80	(1) NonTerminationProof [COMPLETE, 681 ms]
11.96/3.80	(2) NO
11.96/3.80	
11.96/3.80	
11.96/3.80	----------------------------------------
11.96/3.80	
11.96/3.80	(0)
11.96/3.80	Obligation:
11.96/3.80	Q restricted rewrite system:
11.96/3.80	The TRS R consists of the following rules:
11.96/3.80	
11.96/3.80	   a(x1) -> x1
11.96/3.80	   a(x1) -> b(x1)
11.96/3.80	   b(b(c(x1))) -> a(c(c(c(a(b(x1))))))
11.96/3.80	
11.96/3.80	Q is empty.
11.96/3.80	
11.96/3.80	----------------------------------------
11.96/3.80	
11.96/3.80	(1) NonTerminationProof (COMPLETE)
11.96/3.80	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
11.96/3.80	
11.96/3.80	Found the self-embedding DerivationStructure: 
11.96/3.80	"a b c b c c -> c c c c c c a c c c a b c b c c c b"
11.96/3.80	a b c b c c -> c c c c c c a c c c a b c b c c c b
11.96/3.80	by OverlapClosure OC 3"a b c b c c -> c c c c c c b b c c b c c c b
11.96/3.80	by OverlapClosure OC 3"a b c b c c -> c c c c c c b b c c a c c c b
11.96/3.80	by OverlapClosure OC 3"a b c b c c -> c c c c c c a b c c a c c c b
11.96/3.80	by OverlapClosure OC 2"a -> b
11.96/3.80	by original rule (OC 1)""b b c b c c -> c c c c c c a b c c a c c c b
11.96/3.80	by OverlapClosure OC 3"b b c b c c -> c c c c c c a b c c a c c c a b
11.96/3.80	by OverlapClosure OC 2"b b c b c -> c c c c c c a b c c b b
11.96/3.80	by OverlapClosure OC 3"b b c b c -> c c c c c c a b c c a b
11.96/3.80	by OverlapClosure OC 3"b b c b c -> c c c a c c c a b c c a b
11.96/3.80	by OverlapClosure OC 3"b b c b c -> c c c b b c c c a b
11.96/3.80	by OverlapClosure OC 3"b b c b c -> c c c b a c c c a b
11.96/3.80	by OverlapClosure OC 2"b b c -> c c c b b
11.96/3.80	by OverlapClosure OC 3"b b c -> c c c a b
11.96/3.80	by OverlapClosure OC 3"b b c -> a c c c a b
11.96/3.80	by original rule (OC 1)""a -> 
11.96/3.80	by original rule (OC 1)"""a -> b
11.96/3.80	by original rule (OC 1)"""b b c -> a c c c a b
11.96/3.80	by original rule (OC 1)"""a -> b
11.96/3.80	by original rule (OC 1)"""b b c -> a c c c a b
11.96/3.80	by original rule (OC 1)"""a -> 
11.96/3.80	by original rule (OC 1)"""a -> b
11.96/3.80	by original rule (OC 1)"""b b c -> a c c c a b
11.96/3.80	by original rule (OC 1)"""a -> 
11.96/3.80	by original rule (OC 1)""""a -> b
11.96/3.80	by original rule (OC 1)"""a -> b
11.96/3.80	by original rule (OC 1)"""b b c -> a c c c a b
11.96/3.80	by original rule (OC 1)"
11.96/3.80	
11.96/3.80	----------------------------------------
11.96/3.80	
11.96/3.80	(2)
11.96/3.80	NO
12.19/3.88	EOF