124.64/32.52	NO
124.81/32.53	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
124.81/32.53	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
124.81/32.53	
124.81/32.53	
124.81/32.53	Termination w.r.t. Q of the given QTRS could be disproven:
124.81/32.53	
124.81/32.53	(0) QTRS
124.81/32.53	(1) NonTerminationProof [COMPLETE, 4798 ms]
124.81/32.53	(2) NO
124.81/32.53	
124.81/32.53	
124.81/32.53	----------------------------------------
124.81/32.53	
124.81/32.53	(0)
124.81/32.53	Obligation:
124.81/32.53	Q restricted rewrite system:
124.81/32.53	The TRS R consists of the following rules:
124.81/32.53	
124.81/32.53	   a(x1) -> b(x1)
124.81/32.53	   a(c(b(x1))) -> c(a(b(a(c(x1)))))
124.81/32.53	   b(c(x1)) -> x1
124.81/32.53	
124.81/32.53	Q is empty.
124.81/32.53	
124.81/32.53	----------------------------------------
124.81/32.53	
124.81/32.53	(1) NonTerminationProof (COMPLETE)
124.81/32.53	We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite.
124.81/32.53	
124.81/32.53	Found the self-embedding DerivationStructure: 
124.81/32.53	"a c b b b c c b b -> c c a b a c b b b c c b b"
124.81/32.53	a c b b b c c b b -> c c a b a c b b b c c b b
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b b -> c a c b b b b c c b b
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b b -> c a c b b b b c c a b
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b b -> c a c b b b a c c a b
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b b -> c a c b a b a c c a b
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b b -> c a c a a b a c c a b
124.81/32.53	by OverlapClosure OC 2"a c b b b c c b -> c a c a a b a c a c
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b -> c a c a b c a b a c a c
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b -> c a c a b a c b a c
124.81/32.53	by OverlapClosure OC 3"a c b b b c c b -> c a a c b b a c
124.81/32.53	by OverlapClosure OC 2"a c b b b c -> c a a a
124.81/32.53	by OverlapClosure OC 3"a c b b b c -> c a b c a a
124.81/32.53	by OverlapClosure OC 2"a c b b b -> c a b c a a b
124.81/32.53	by OverlapClosure OC 2"a c b -> c a b a c
124.81/32.53	by original rule (OC 1)""a c b b -> c a a b
124.81/32.53	by OverlapClosure OC 3"a c b b -> c a b c a b
124.81/32.53	by OverlapClosure OC 2"a c b -> c a b a c
124.81/32.53	by original rule (OC 1)""a c b -> c a b
124.81/32.53	by OverlapClosure OC 2"a c b -> c a b a c
124.81/32.53	by original rule (OC 1)""a c -> 
124.81/32.53	by OverlapClosure OC 2"a -> b
124.81/32.53	by original rule (OC 1)""b c -> 
124.81/32.53	by original rule (OC 1)"""""b c -> 
124.81/32.53	by original rule (OC 1)""""b c -> 
124.81/32.53	by original rule (OC 1)"""b c -> 
124.81/32.53	by original rule (OC 1)"""a c b -> c b b a c
124.81/32.53	by OverlapClosure OC 3"a c b -> c a b a c
124.81/32.53	by original rule (OC 1)""a -> b
124.81/32.53	by original rule (OC 1)""""a c b -> c a b a c
124.81/32.53	by original rule (OC 1)"""a c b -> c a b a c
124.81/32.53	by original rule (OC 1)"""b c -> 
124.81/32.53	by original rule (OC 1)"""a c b -> c a b
124.81/32.53	by OverlapClosure OC 2"a c b -> c a b a c
124.81/32.53	by original rule (OC 1)""a c -> 
124.81/32.53	by OverlapClosure OC 2"a -> b
124.81/32.53	by original rule (OC 1)""b c -> 
124.81/32.53	by original rule (OC 1)"""""a -> b
124.81/32.53	by original rule (OC 1)"""a -> b
124.81/32.53	by original rule (OC 1)"""a -> b
124.81/32.53	by original rule (OC 1)"""a -> b
124.81/32.53	by original rule (OC 1)"""a c b -> c a b a c
124.81/32.53	by original rule (OC 1)"
124.81/32.53	
124.81/32.53	----------------------------------------
124.81/32.53	
124.81/32.53	(2)
124.81/32.53	NO
124.88/32.59	EOF