3.42/1.60 NO 3.42/1.61 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.42/1.61 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.42/1.61 3.42/1.61 3.42/1.61 Termination w.r.t. Q of the given QTRS could be disproven: 3.42/1.61 3.42/1.61 (0) QTRS 3.42/1.61 (1) NonTerminationProof [COMPLETE, 0 ms] 3.42/1.61 (2) NO 3.42/1.61 3.42/1.61 3.42/1.61 ---------------------------------------- 3.42/1.61 3.42/1.61 (0) 3.42/1.61 Obligation: 3.42/1.61 Q restricted rewrite system: 3.42/1.61 The TRS R consists of the following rules: 3.42/1.61 3.42/1.61 a(b(a(x1))) -> b(b(b(x1))) 3.42/1.61 b(a(b(x1))) -> a(b(a(x1))) 3.42/1.61 3.42/1.61 Q is empty. 3.42/1.61 3.42/1.61 ---------------------------------------- 3.42/1.61 3.42/1.61 (1) NonTerminationProof (COMPLETE) 3.42/1.61 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 3.42/1.61 3.42/1.61 Found the self-embedding DerivationStructure: 3.42/1.61 "a b a a b b -> a b a a b b" 3.42/1.61 a b a a b b -> a b a a b b 3.42/1.61 by OverlapClosure OC 3"a b a a b b -> b a b a b b 3.42/1.61 by OverlapClosure OC 3"a b a a b b -> b b a b b b 3.42/1.61 by OverlapClosure OC 2"a b a -> b b b 3.42/1.61 by original rule (OC 1)""b a b b -> a b b b 3.42/1.61 by OverlapClosure OC 2"b a b -> a b a 3.42/1.61 by original rule (OC 1)""b a b -> b b b 3.42/1.61 by OverlapClosure OC 2"b a b -> a b a 3.42/1.61 by original rule (OC 1)""a b a -> b b b 3.42/1.61 by original rule (OC 1)"""""b a b -> a b a 3.42/1.61 by original rule (OC 1)"""b a b -> a b a 3.42/1.61 by original rule (OC 1)" 3.42/1.61 3.42/1.61 ---------------------------------------- 3.42/1.61 3.42/1.61 (2) 3.42/1.61 NO 3.80/1.95 EOF