14.30/4.53	NO
14.30/4.55	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
14.30/4.55	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
14.30/4.55	
14.30/4.55	
14.30/4.55	Termination w.r.t. Q of the given QTRS could be disproven:
14.30/4.55	
14.30/4.55	(0) QTRS
14.30/4.55	(1) NonTerminationProof [COMPLETE, 1148 ms]
14.30/4.55	(2) NO
14.30/4.55	
14.30/4.55	
14.30/4.55	----------------------------------------
14.30/4.55	
14.30/4.55	(0)
14.30/4.55	Obligation:
14.30/4.55	Q restricted rewrite system:
14.30/4.55	The TRS R consists of the following rules:
14.30/4.55	
14.30/4.55	   a(x1) -> b(x1)
14.30/4.55	   a(x1) -> b(b(c(x1)))
14.30/4.55	   c(a(b(x1))) -> a(c(a(x1)))
14.30/4.55	
14.30/4.55	Q is empty.
14.30/4.55	
14.30/4.55	----------------------------------------
14.30/4.55	
14.30/4.55	(1) NonTerminationProof (COMPLETE)
14.30/4.55	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
14.30/4.55	
14.30/4.55	Found the self-embedding DerivationStructure: 
14.30/4.55	"c a b b b b b -> b b c a b b b b b c c a c c a"
14.30/4.55	c a b b b b b -> b b c a b b b b b c c a c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b b b -> b b c a b b a b b c c a c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b b b -> b b c a b b a a c a c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b b b -> a a b b a a c a c c a
14.30/4.55	by OverlapClosure OC 2"c a b -> a c a
14.30/4.55	by original rule (OC 1)""c a b b b b -> a b b a a c a c c a
14.30/4.55	by OverlapClosure OC 2"c a b -> a c a
14.30/4.55	by original rule (OC 1)""c a b b b -> b b a a c a c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b -> b b a c a b c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b -> a a b b c c a
14.30/4.55	by OverlapClosure OC 3"c a b b b -> a a a c a
14.30/4.55	by OverlapClosure OC 2"c a b -> a c a
14.30/4.55	by original rule (OC 1)""c a b b -> a a c a
14.30/4.55	by OverlapClosure OC 2"c a b -> a c a
14.30/4.55	by original rule (OC 1)""c a b -> a c a
14.30/4.55	by original rule (OC 1)""""a -> b b c
14.30/4.55	by original rule (OC 1)"""a a b -> b b a c a
14.30/4.55	by OverlapClosure OC 2"a -> b b c
14.30/4.55	by original rule (OC 1)""c a b -> a c a
14.30/4.55	by original rule (OC 1)""""c a b -> a c a
14.30/4.55	by original rule (OC 1)"""""a -> b b c
14.30/4.55	by original rule (OC 1)"""a -> b b c
14.30/4.55	by original rule (OC 1)"""a -> b
14.30/4.55	by original rule (OC 1)"
14.30/4.55	
14.30/4.55	----------------------------------------
14.30/4.55	
14.30/4.55	(2)
14.30/4.55	NO
14.64/4.67	EOF