7.46/2.80	NO
7.84/2.88	proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml
7.84/2.88	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.84/2.88	
7.84/2.88	
7.84/2.88	Termination w.r.t. Q of the given QTRS could be disproven:
7.84/2.88	
7.84/2.88	(0) QTRS
7.84/2.88	(1) NonTerminationProof [COMPLETE, 710 ms]
7.84/2.88	(2) NO
7.84/2.88	
7.84/2.88	
7.84/2.88	----------------------------------------
7.84/2.88	
7.84/2.88	(0)
7.84/2.88	Obligation:
7.84/2.88	Q restricted rewrite system:
7.84/2.88	The TRS R consists of the following rules:
7.84/2.88	
7.84/2.88	   a(a(a(x1))) -> c(c(b(x1)))
7.84/2.88	   b(b(b(x1))) -> c(c(c(x1)))
7.84/2.88	   c(c(c(x1))) -> a(b(b(x1)))
7.84/2.88	
7.84/2.88	Q is empty.
7.84/2.88	
7.84/2.88	----------------------------------------
7.84/2.88	
7.84/2.88	(1) NonTerminationProof (COMPLETE)
7.84/2.88	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.84/2.88	
7.84/2.88	Found the self-embedding DerivationStructure: 
7.84/2.88	"a a a b b b b -> a a a b b b b"
7.84/2.88	a a a b b b b -> a a a b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> a a c c c b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> a a b b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> a b b b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> c c c b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> c a a a b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> c a a b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> c a b b b b b
7.84/2.88	by OverlapClosure OC 3"a a a b b b b -> c c c c b b b
7.84/2.88	by OverlapClosure OC 2"a a a -> c c b
7.84/2.88	by original rule (OC 1)""b b b b b -> c c b b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c b b -> c c b b b
7.84/2.88	by OverlapClosure OC 3"c c c b b -> a a a b b
7.84/2.88	by OverlapClosure OC 2"c c c -> a b b
7.84/2.88	by original rule (OC 1)""b b b b -> a a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c -> a b b
7.84/2.88	by original rule (OC 1)"""b b b -> a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c -> a b b
7.84/2.88	by original rule (OC 1)"""""a a a -> c c b
7.84/2.88	by original rule (OC 1)"""""c c c -> a b b
7.84/2.88	by original rule (OC 1)"""b b b -> a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c -> a b b
7.84/2.88	by original rule (OC 1)""""b b b -> a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c -> a b b
7.84/2.88	by original rule (OC 1)""""a a a -> c c b
7.84/2.88	by original rule (OC 1)"""c c c -> a b b
7.84/2.88	by original rule (OC 1)"""b b b -> a b b
7.84/2.88	by OverlapClosure OC 2"b b b -> c c c
7.84/2.88	by original rule (OC 1)""c c c -> a b b
7.84/2.88	by original rule (OC 1)""""b b b -> c c c
7.84/2.88	by original rule (OC 1)"""c c c -> a b b
7.84/2.88	by original rule (OC 1)"
7.84/2.88	
7.84/2.88	----------------------------------------
7.84/2.88	
7.84/2.88	(2)
7.84/2.88	NO
8.15/2.96	EOF