565.99/144.48 NO 566.45/144.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 566.45/144.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 566.45/144.57 566.45/144.57 566.45/144.57 Termination w.r.t. Q of the given QTRS could be disproven: 566.45/144.57 566.45/144.57 (0) QTRS 566.45/144.57 (1) NonTerminationProof [COMPLETE, 22.1 s] 566.45/144.57 (2) NO 566.45/144.57 566.45/144.57 566.45/144.57 ---------------------------------------- 566.45/144.57 566.45/144.57 (0) 566.45/144.57 Obligation: 566.45/144.57 Q restricted rewrite system: 566.45/144.57 The TRS R consists of the following rules: 566.45/144.57 566.45/144.57 a(a(a(x1))) -> a(b(c(c(c(x1))))) 566.45/144.57 c(b(x1)) -> b(a(x1)) 566.45/144.57 566.45/144.57 Q is empty. 566.45/144.57 566.45/144.57 ---------------------------------------- 566.45/144.57 566.45/144.57 (1) NonTerminationProof (COMPLETE) 566.45/144.57 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 566.45/144.57 566.45/144.57 Found the self-embedding DerivationStructure: 566.45/144.57 "a a a b a a b b a b -> a b b a b b a b c b a b b a a a b a a b b a b c c c" 566.45/144.57 a a a b a a b b a b -> a b b a b b a b c b a b b a a a b a a b b a b c c c 566.45/144.57 by OverlapClosure OC 2"a a a b a a b b a b -> a b b a b b a b c b a b b a a a b a a b b a a a 566.45/144.57 by OverlapClosure OC 2"a a a b a a b b -> a b b a b b a b c b a b b a a a b a a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b b -> a b b a b b a b c b a b b a a a c b a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b b -> a b b a b b a b c b a b b a a a c c b a 566.45/144.57 by OverlapClosure OC 2"a a a b a a b -> a b b a b b a b c b a b b a a a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c b a b c b a a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c b a b c c b a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c b a b c c c b c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c b a a a b c c c 566.45/144.57 by OverlapClosure OC 2"a a a b a a b -> a b b a b b a b c b a a a a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c c b a a a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a b c c c b a a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a a a b a a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a a a c b a a 566.45/144.57 by OverlapClosure OC 3"a a a b a a b -> a b b a b b a a a c c b a 566.45/144.57 by OverlapClosure OC 2"a a a b a a -> a b b a b b a a a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a -> a b b a b c b a a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a -> a b b a b c c b a c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a -> a b b a b c c c b c c c 566.45/144.57 by OverlapClosure OC 3"a a a b a a -> a b b a a a b c c c 566.45/144.57 by OverlapClosure OC 2"a a a b -> a b b a a a 566.45/144.57 by OverlapClosure OC 3"a a a b -> a b c b a a 566.45/144.57 by OverlapClosure OC 3"a a a b -> a b c c b a 566.45/144.57 by OverlapClosure OC 2"a a a -> a b c c c 566.45/144.57 by original rule (OC 1)""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)"""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)"""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""a a a b -> a b b a a a 566.45/144.57 by OverlapClosure OC 3"a a a b -> a b c b a a 566.45/144.57 by OverlapClosure OC 3"a a a b -> a b c c b a 566.45/144.57 by OverlapClosure OC 2"a a a -> a b c c c 566.45/144.57 by original rule (OC 1)""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)"""c b -> b a 566.45/144.57 by original rule (OC 1)""""a a a -> a b c c c 566.45/144.57 by original rule (OC 1)" 566.45/144.57 566.45/144.57 ---------------------------------------- 566.45/144.57 566.45/144.57 (2) 566.45/144.57 NO 566.67/144.63 EOF