139.37/37.07	NO
139.61/37.13	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
139.61/37.13	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
139.61/37.13	
139.61/37.13	
139.61/37.13	Termination w.r.t. Q of the given QTRS could be disproven:
139.61/37.13	
139.61/37.13	(0) QTRS
139.61/37.13	(1) NonTerminationProof [COMPLETE, 7947 ms]
139.61/37.13	(2) NO
139.61/37.13	
139.61/37.13	
139.61/37.13	----------------------------------------
139.61/37.13	
139.61/37.13	(0)
139.61/37.13	Obligation:
139.61/37.13	Q restricted rewrite system:
139.61/37.13	The TRS R consists of the following rules:
139.61/37.13	
139.61/37.13	   a(a(b(x1))) -> b(b(c(a(c(x1)))))
139.61/37.13	   a(c(x1)) -> a(a(x1))
139.61/37.13	
139.61/37.13	Q is empty.
139.61/37.13	
139.61/37.13	----------------------------------------
139.61/37.13	
139.61/37.13	(1) NonTerminationProof (COMPLETE)
139.61/37.13	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
139.61/37.13	
139.61/37.13	Found the self-embedding DerivationStructure: 
139.61/37.13	"a c c a b b c b b -> b b c b b c a b b c b b c a c c a b b c b b c a c"
139.61/37.13	a c c a b b c b b -> b b c b b c a b b c b b c a c c a b b c b b c a c
139.61/37.13	by OverlapClosure OC 2"a c c a b b -> b b c b b c a b b c b b c a c c a a
139.61/37.13	by OverlapClosure OC 3"a c c a b b -> b b c b b c a b b c a c b c a a
139.61/37.13	by OverlapClosure OC 3"a c c a b b -> b b c b b c a a c b b c a a
139.61/37.13	by OverlapClosure OC 2"a c c a b -> b b c b b c a a c a c
139.61/37.13	by OverlapClosure OC 3"a c c a b -> b b c a c b c a c
139.61/37.13	by OverlapClosure OC 3"a c c a b -> a a b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a c a b -> a b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""""a a b -> b b c a c
139.61/37.13	by original rule (OC 1)"""a c b -> b b c a a
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a a
139.61/37.13	by OverlapClosure OC 2"a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""a c -> a a
139.61/37.13	by original rule (OC 1)"""""a c b -> b b c a a
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a a
139.61/37.13	by OverlapClosure OC 2"a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""a c -> a a
139.61/37.13	by original rule (OC 1)"""""a c b -> b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""""a c b -> b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""""a c b b -> b b c b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b b -> b b c b b c a c
139.61/37.13	by OverlapClosure OC 2"a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""a c b -> b b c a c
139.61/37.13	by OverlapClosure OC 2"a c -> a a
139.61/37.13	by original rule (OC 1)""a a b -> b b c a c
139.61/37.13	by original rule (OC 1)""""
139.61/37.13	
139.61/37.13	----------------------------------------
139.61/37.13	
139.61/37.13	(2)
139.61/37.13	NO
140.15/37.19	EOF