70.41/18.74	NO
70.41/18.77	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
70.41/18.77	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
70.41/18.77	
70.41/18.77	
70.41/18.77	Termination w.r.t. Q of the given QTRS could be disproven:
70.41/18.77	
70.41/18.77	(0) QTRS
70.41/18.77	(1) NonTerminationProof [COMPLETE, 2991 ms]
70.41/18.77	(2) NO
70.41/18.77	
70.41/18.77	
70.41/18.77	----------------------------------------
70.41/18.77	
70.41/18.77	(0)
70.41/18.77	Obligation:
70.41/18.77	Q restricted rewrite system:
70.41/18.77	The TRS R consists of the following rules:
70.41/18.77	
70.41/18.77	   a(x1) -> b(x1)
70.41/18.77	   a(b(c(x1))) -> c(c(b(a(a(x1)))))
70.41/18.77	   c(c(x1)) -> x1
70.41/18.77	
70.41/18.77	Q is empty.
70.41/18.77	
70.41/18.77	----------------------------------------
70.41/18.77	
70.41/18.77	(1) NonTerminationProof (COMPLETE)
70.41/18.77	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
70.41/18.77	
70.41/18.77	Found the self-embedding DerivationStructure: 
70.41/18.77	"a b c b c c b c c -> b b a b c b c c b c c b a a b a a"
70.41/18.77	a b c b c c b c c -> b b a b c b c c b c c b a a b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c b c c -> b b a b c b c c b a b c b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c b c c -> b b a b c b c c b a a c b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c b c c -> b b a b c b a b c c b a a
70.41/18.77	by OverlapClosure OC 2"a b c b c c b c -> b b a b c b a b a b
70.41/18.77	by OverlapClosure OC 2"a b c b c c -> b b a b c b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c -> b c c b a b c b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c -> b c c b a a c b a a
70.41/18.77	by OverlapClosure OC 3"a b c b c c -> b a b c c b a a
70.41/18.77	by OverlapClosure OC 2"a b c b c -> b a b a b
70.41/18.77	by OverlapClosure OC 2"a b c -> b a a
70.41/18.77	by OverlapClosure OC 3"a b c -> c c b a a
70.41/18.77	by original rule (OC 1)""c c -> 
70.41/18.77	by original rule (OC 1)"""a b c -> b a b
70.41/18.77	by OverlapClosure OC 3"a b c -> c c b a b
70.41/18.77	by OverlapClosure OC 2"a b c -> c c b a a
70.41/18.77	by original rule (OC 1)""a -> b
70.41/18.77	by original rule (OC 1)"""c c -> 
70.41/18.77	by original rule (OC 1)""""a b c -> c c b a a
70.41/18.77	by original rule (OC 1)"""a b c -> c c b a a
70.41/18.77	by original rule (OC 1)"""a -> b
70.41/18.77	by original rule (OC 1)"""c c -> 
70.41/18.77	by original rule (OC 1)"""a b c -> b a b
70.41/18.77	by OverlapClosure OC 3"a b c -> c c b a b
70.41/18.77	by OverlapClosure OC 2"a b c -> c c b a a
70.41/18.77	by original rule (OC 1)""a -> b
70.41/18.77	by original rule (OC 1)"""c c -> 
70.41/18.77	by original rule (OC 1)""""a b c -> c c b a a
70.41/18.77	by original rule (OC 1)"""a b c -> c c b a a
70.41/18.77	by original rule (OC 1)"""a -> b
70.41/18.77	by original rule (OC 1)"""a b c -> c c b a a
70.41/18.77	by original rule (OC 1)"
70.41/18.77	
70.41/18.77	----------------------------------------
70.41/18.77	
70.41/18.77	(2)
70.41/18.77	NO
70.88/18.82	EOF