3.11/1.54 NO 3.11/1.55 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.11/1.55 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.11/1.55 3.11/1.55 3.11/1.55 Termination w.r.t. Q of the given QTRS could be disproven: 3.11/1.55 3.11/1.55 (0) QTRS 3.11/1.55 (1) NonTerminationProof [COMPLETE, 0 ms] 3.11/1.55 (2) NO 3.11/1.55 3.11/1.55 3.11/1.55 ---------------------------------------- 3.11/1.55 3.11/1.55 (0) 3.11/1.55 Obligation: 3.11/1.55 Q restricted rewrite system: 3.11/1.55 The TRS R consists of the following rules: 3.11/1.55 3.11/1.55 a(a(a(x1))) -> a(b(b(x1))) 3.11/1.55 b(a(b(x1))) -> a(b(a(x1))) 3.11/1.55 3.11/1.55 Q is empty. 3.11/1.55 3.11/1.55 ---------------------------------------- 3.11/1.55 3.11/1.55 (1) NonTerminationProof (COMPLETE) 3.11/1.55 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 3.11/1.55 3.11/1.55 Found the self-embedding DerivationStructure: 3.11/1.55 "a a a a b a -> a a a a b a" 3.11/1.55 a a a a b a -> a a a a b a 3.11/1.55 by OverlapClosure OC 2"a a a a b a -> a a a b a b 3.11/1.55 by OverlapClosure OC 3"a a a a b a -> a a b a b b 3.11/1.55 by OverlapClosure OC 2"a a a a b -> a a b a a 3.11/1.55 by OverlapClosure OC 3"a a a a b -> a b a b a 3.11/1.55 by OverlapClosure OC 2"a a a -> a b b 3.11/1.55 by original rule (OC 1)""b a b -> a b a 3.11/1.55 by original rule (OC 1)"""b a b -> a b a 3.11/1.55 by original rule (OC 1)"""a a a -> a b b 3.11/1.55 by original rule (OC 1)"""b a b -> a b a 3.11/1.55 by original rule (OC 1)"""b a b -> a b a 3.11/1.55 by original rule (OC 1)" 3.11/1.55 3.11/1.55 ---------------------------------------- 3.11/1.55 3.11/1.55 (2) 3.11/1.55 NO 3.24/1.59 EOF