5.39/2.13	NO
5.39/2.17	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
5.39/2.17	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
5.39/2.17	
5.39/2.17	
5.39/2.17	Termination w.r.t. Q of the given QTRS could be disproven:
5.39/2.17	
5.39/2.17	(0) QTRS
5.39/2.17	(1) NonTerminationProof [COMPLETE, 296 ms]
5.39/2.17	(2) NO
5.39/2.17	
5.39/2.17	
5.39/2.17	----------------------------------------
5.39/2.17	
5.39/2.17	(0)
5.39/2.17	Obligation:
5.39/2.17	Q restricted rewrite system:
5.39/2.17	The TRS R consists of the following rules:
5.39/2.17	
5.39/2.17	   a(x1) -> x1
5.39/2.17	   a(a(a(x1))) -> b(x1)
5.39/2.17	   b(c(x1)) -> c(c(a(b(x1))))
5.39/2.17	   c(x1) -> x1
5.39/2.17	
5.39/2.17	Q is empty.
5.39/2.17	
5.39/2.17	----------------------------------------
5.39/2.17	
5.39/2.17	(1) NonTerminationProof (COMPLETE)
5.39/2.17	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
5.39/2.17	
5.39/2.17	Found the self-embedding DerivationStructure: 
5.39/2.17	"b c c c c c c -> b c c c c c c a b"
5.39/2.17	b c c c c c c -> b c c c c c c a b
5.39/2.17	by OverlapClosure OC 2"b c c c c c -> b c c c c b
5.39/2.17	by OverlapClosure OC 2"b c c c -> b b
5.39/2.17	by OverlapClosure OC 3"b c c c -> a a a b
5.39/2.17	by OverlapClosure OC 2"b c -> a b
5.39/2.17	by OverlapClosure OC 3"b c -> c a b
5.39/2.17	by OverlapClosure OC 3"b c -> c c a b
5.39/2.17	by original rule (OC 1)""c -> 
5.39/2.17	by original rule (OC 1)"""c -> 
5.39/2.17	by original rule (OC 1)"""b c c -> a a b
5.39/2.17	by OverlapClosure OC 2"b c -> a b
5.39/2.17	by OverlapClosure OC 3"b c -> c a b
5.39/2.17	by OverlapClosure OC 3"b c -> c c a b
5.39/2.17	by original rule (OC 1)""c -> 
5.39/2.17	by original rule (OC 1)"""c -> 
5.39/2.17	by original rule (OC 1)"""b c -> a b
5.39/2.17	by OverlapClosure OC 3"b c -> c a b
5.39/2.17	by OverlapClosure OC 3"b c -> c c a b
5.39/2.17	by original rule (OC 1)""c -> 
5.39/2.17	by original rule (OC 1)"""c -> 
5.39/2.17	by original rule (OC 1)"""""a a a -> b
5.39/2.17	by original rule (OC 1)"""b c c -> c c c c b
5.39/2.17	by OverlapClosure OC 2"b c -> c c b
5.39/2.17	by OverlapClosure OC 3"b c -> c c a b
5.39/2.17	by original rule (OC 1)""a -> 
5.39/2.17	by original rule (OC 1)"""b c -> c c b
5.39/2.17	by OverlapClosure OC 3"b c -> c c a b
5.39/2.17	by original rule (OC 1)""a -> 
5.39/2.17	by original rule (OC 1)"""""b c -> c c a b
5.39/2.17	by original rule (OC 1)"
5.39/2.17	
5.39/2.17	----------------------------------------
5.39/2.17	
5.39/2.17	(2)
5.39/2.17	NO
5.83/2.30	EOF