1038.84/265.22	NO
1039.48/265.31	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
1039.48/265.31	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
1039.48/265.31	
1039.48/265.31	
1039.48/265.31	Termination w.r.t. Q of the given QTRS could be disproven:
1039.48/265.31	
1039.48/265.31	(0) QTRS
1039.48/265.31	(1) NonTerminationProof [COMPLETE, 41.4 s]
1039.48/265.31	(2) NO
1039.48/265.31	
1039.48/265.31	
1039.48/265.31	----------------------------------------
1039.48/265.31	
1039.48/265.31	(0)
1039.48/265.31	Obligation:
1039.48/265.31	Q restricted rewrite system:
1039.48/265.31	The TRS R consists of the following rules:
1039.48/265.31	
1039.48/265.31	   a(a(x1)) -> a(b(x1))
1039.48/265.31	   b(b(c(x1))) -> c(c(a(a(a(x1)))))
1039.48/265.31	
1039.48/265.31	Q is empty.
1039.48/265.31	
1039.48/265.31	----------------------------------------
1039.48/265.31	
1039.48/265.31	(1) NonTerminationProof (COMPLETE)
1039.48/265.31	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
1039.48/265.31	
1039.48/265.31	Found the self-embedding DerivationStructure: 
1039.48/265.31	"b b c a b c c a c c -> c c a c c a c c a a c c a b b c a b c c a c c a a a"
1039.48/265.31	b b c a b c c a c c -> c c a c c a c c a a c c a b b c a b c c a c c a a a
1039.48/265.31	by OverlapClosure OC 2"b b c a b c c a c -> c c a c c a c c a a c c a b b c a b c c a b b
1039.48/265.31	by OverlapClosure OC 2"b b c a b c c a -> c c a c c a c c a a c c a b b c a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c c a -> c c a c c a c c a a c c a a b c a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c c a -> c c a c c a c c a a c c a a a c a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c c a -> c c a c c a c c a a b b c c a b b b
1039.48/265.31	by OverlapClosure OC 2"b b c a b c -> c c a c c a c c a a b b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a c c a c c a a a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a c c a c c a a a a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a c c a b b c a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a c c a a b c a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a c c a a a c a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a b c -> c c a b b c c a b b
1039.48/265.31	by OverlapClosure OC 2"b b c a -> c c a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a -> c c a a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a -> c c a a a b
1039.48/265.31	by OverlapClosure OC 2"b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""b b c -> c c a b b
1039.48/265.31	by OverlapClosure OC 3"b b c -> c c a a b
1039.48/265.31	by OverlapClosure OC 2"b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)""""b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""b b c a -> c c a b b b
1039.48/265.31	by OverlapClosure OC 3"b b c a -> c c a a b b
1039.48/265.31	by OverlapClosure OC 3"b b c a -> c c a a a b
1039.48/265.31	by OverlapClosure OC 2"b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)""""b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)"""b b c -> c c a b b
1039.48/265.31	by OverlapClosure OC 3"b b c -> c c a a b
1039.48/265.31	by OverlapClosure OC 2"b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)""a a -> a b
1039.48/265.31	by original rule (OC 1)"""a a -> a b
1039.48/265.31	by original rule (OC 1)""""b b c -> c c a a a
1039.48/265.31	by original rule (OC 1)"
1039.48/265.31	
1039.48/265.31	----------------------------------------
1039.48/265.31	
1039.48/265.31	(2)
1039.48/265.31	NO
1039.50/265.38	EOF