205.65/53.23	NO
206.02/53.29	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
206.02/53.29	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
206.02/53.29	
206.02/53.29	
206.02/53.29	Termination w.r.t. Q of the given QTRS could be disproven:
206.02/53.29	
206.02/53.29	(0) QTRS
206.02/53.29	(1) NonTerminationProof [COMPLETE, 8157 ms]
206.02/53.29	(2) NO
206.02/53.29	
206.02/53.29	
206.02/53.29	----------------------------------------
206.02/53.29	
206.02/53.29	(0)
206.02/53.29	Obligation:
206.02/53.29	Q restricted rewrite system:
206.02/53.29	The TRS R consists of the following rules:
206.02/53.29	
206.02/53.29	   a(b(x1)) -> x1
206.02/53.29	   a(c(x1)) -> c(b(c(b(x1))))
206.02/53.29	   b(c(x1)) -> a(a(x1))
206.02/53.29	
206.02/53.29	Q is empty.
206.02/53.29	
206.02/53.29	----------------------------------------
206.02/53.29	
206.02/53.29	(1) NonTerminationProof (COMPLETE)
206.02/53.29	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
206.02/53.29	
206.02/53.29	Found the self-embedding DerivationStructure: 
206.02/53.29	"a c c c b c -> c a c c c b c b b b"
206.02/53.29	a c c c b c -> c a c c c b c b b b
206.02/53.29	by OverlapClosure OC 3"a c c c b c -> c a c c a c b b
206.02/53.29	by OverlapClosure OC 3"a c c c b c -> c a c a c c b b
206.02/53.29	by OverlapClosure OC 3"a c c c b c -> c a c a a c b c b b
206.02/53.29	by OverlapClosure OC 3"a c c c b c -> c a c a a a c b
206.02/53.29	by OverlapClosure OC 3"a c c c b c -> c a c a a b c b c b
206.02/53.29	by OverlapClosure OC 2"a c c c b -> c a c a a b a
206.02/53.29	by OverlapClosure OC 3"a c c c b -> c a a c a
206.02/53.29	by OverlapClosure OC 2"a c -> c a a b
206.02/53.29	by OverlapClosure OC 3"a c -> c b c b
206.02/53.29	by original rule (OC 1)""b c -> a a
206.02/53.29	by original rule (OC 1)"""b c c b -> c a
206.02/53.29	by OverlapClosure OC 2"b c c b -> a c
206.02/53.29	by OverlapClosure OC 2"b c c -> a c b c b
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a c -> c b c b
206.02/53.29	by original rule (OC 1)"""b c b b -> 
206.02/53.29	by OverlapClosure OC 2"b c b -> a
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a b -> 
206.02/53.29	by original rule (OC 1)"""a b -> 
206.02/53.29	by original rule (OC 1)""""a c -> c a
206.02/53.29	by OverlapClosure OC 2"a c -> c b c b
206.02/53.29	by original rule (OC 1)""b c b -> a
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a b -> 
206.02/53.29	by original rule (OC 1)""""""a c -> c a a b
206.02/53.29	by OverlapClosure OC 3"a c -> c b c b
206.02/53.29	by original rule (OC 1)""b c -> a a
206.02/53.29	by original rule (OC 1)""""a c -> c b c b
206.02/53.29	by original rule (OC 1)"""b c b -> a
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a b -> 
206.02/53.29	by original rule (OC 1)""""a c -> c b c b
206.02/53.29	by original rule (OC 1)"""a c b -> c
206.02/53.29	by OverlapClosure OC 2"a c -> c b c b
206.02/53.29	by original rule (OC 1)""b c b b -> 
206.02/53.29	by OverlapClosure OC 2"b c b -> a
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a b -> 
206.02/53.29	by original rule (OC 1)"""a b -> 
206.02/53.29	by original rule (OC 1)"""""a c -> c a
206.02/53.29	by OverlapClosure OC 2"a c -> c b c b
206.02/53.29	by original rule (OC 1)""b c b -> a
206.02/53.29	by OverlapClosure OC 2"b c -> a a
206.02/53.29	by original rule (OC 1)""a b -> 
206.02/53.29	by original rule (OC 1)"""""a c -> c b c b
206.02/53.29	by original rule (OC 1)"
206.02/53.29	
206.02/53.29	----------------------------------------
206.02/53.29	
206.02/53.29	(2)
206.02/53.29	NO
206.39/53.34	EOF