6.42/2.43	NO
7.48/2.64	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
7.48/2.64	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
7.48/2.64	
7.48/2.64	
7.48/2.64	Termination w.r.t. Q of the given QTRS could be disproven:
7.48/2.64	
7.48/2.64	(0) QTRS
7.48/2.64	(1) NonTerminationProof [COMPLETE, 400 ms]
7.48/2.64	(2) NO
7.48/2.64	
7.48/2.64	
7.48/2.64	----------------------------------------
7.48/2.64	
7.48/2.64	(0)
7.48/2.64	Obligation:
7.48/2.64	Q restricted rewrite system:
7.48/2.64	The TRS R consists of the following rules:
7.48/2.64	
7.48/2.64	   b(a(L(x1))) -> L(a(L(X(b(a(b(b(x1))))))))
7.48/2.64	   b(L(x1)) -> L(b(x1))
7.48/2.64	
7.48/2.64	Q is empty.
7.48/2.64	
7.48/2.64	----------------------------------------
7.48/2.64	
7.48/2.64	(1) NonTerminationProof (COMPLETE)
7.48/2.64	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
7.48/2.64	
7.48/2.64	Found the self-embedding DerivationStructure: 
7.48/2.64	"b a (b)^k L a L -> L a L X b a (b)^k+1 L a L X b a b b"
7.48/2.64	b a (b)^k L a L -> L a L X b a (b)^k+1 L a L X b a b b
7.48/2.64	by Overlap u with r (ol3)"b a (b)^k L -> L a L X b a (b)^k+1 b
7.48/2.64	by Operation expand"b a (b)^k L -> L a L X b a (b)^k+2
7.48/2.64	by Equivalent"b a (b)^k L -> L a L X b a b b (b)^k
7.48/2.64	by Overlap u with l (ol4)"(b)^k L -> L (b)^k
7.48/2.64	by Selfoverlapping OC am1"b L -> L b
7.48/2.64	by original rule (OC 1)"""b a L -> L a L X b a b b
7.48/2.64	by original rule (OC 1)"""""b a L -> L a L X b a b b
7.48/2.64	by original rule (OC 1)"
7.48/2.64	
7.48/2.64	----------------------------------------
7.48/2.64	
7.48/2.64	(2)
7.48/2.64	NO
7.66/2.74	EOF