25.79/7.39	NO
27.41/8.14	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
27.41/8.14	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
27.41/8.14	
27.41/8.14	
27.41/8.14	Termination w.r.t. Q of the given QTRS could be disproven:
27.41/8.14	
27.41/8.14	(0) QTRS
27.41/8.14	(1) NonTerminationProof [COMPLETE, 1276 ms]
27.41/8.14	(2) NO
27.41/8.14	
27.41/8.14	
27.41/8.14	----------------------------------------
27.41/8.14	
27.41/8.14	(0)
27.41/8.14	Obligation:
27.41/8.14	Q restricted rewrite system:
27.41/8.14	The TRS R consists of the following rules:
27.41/8.14	
27.41/8.14	   a(x1) -> x1
27.41/8.14	   a(b(x1)) -> b(c(a(a(a(x1)))))
27.41/8.14	   a(c(c(x1))) -> b(x1)
27.41/8.14	
27.41/8.14	Q is empty.
27.41/8.14	
27.41/8.14	----------------------------------------
27.41/8.14	
27.41/8.14	(1) NonTerminationProof (COMPLETE)
27.41/8.14	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
27.41/8.14	
27.41/8.14	Found the self-embedding DerivationStructure: 
27.41/8.14	"a b b c c -> b c b c a a b b c c"
27.41/8.14	a b b c c -> b c b c a a b b c c
27.41/8.14	by OverlapClosure OC 3"a b b c c -> b c b c a a a c c b c c
27.41/8.14	by OverlapClosure OC 3"a b b c c -> b c a b c c b c c
27.41/8.14	by OverlapClosure OC 3"a b b c c -> b c a a b c b c c
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a a
27.41/8.14	by original rule (OC 1)""a b c c -> b c b c c
27.41/8.14	by OverlapClosure OC 3"a b c c -> b c a b c
27.41/8.14	by OverlapClosure OC 2"a b c c -> b c a a b
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a a
27.41/8.14	by original rule (OC 1)""a c c -> b
27.41/8.14	by original rule (OC 1)"""a b -> b c
27.41/8.14	by OverlapClosure OC 2"a b -> b c a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a a
27.41/8.14	by original rule (OC 1)""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)""""a b -> b c
27.41/8.14	by OverlapClosure OC 2"a b -> b c a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a a
27.41/8.14	by original rule (OC 1)""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)"""""a b -> b c
27.41/8.14	by OverlapClosure OC 2"a b -> b c a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a
27.41/8.14	by OverlapClosure OC 2"a b -> b c a a a
27.41/8.14	by original rule (OC 1)""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)"""a -> 
27.41/8.14	by original rule (OC 1)""""a b -> b c a a a
27.41/8.14	by original rule (OC 1)"""a c c -> b
27.41/8.14	by original rule (OC 1)"
27.41/8.14	
27.41/8.14	----------------------------------------
27.41/8.14	
27.41/8.14	(2)
27.41/8.14	NO
27.47/9.83	EOF