3.32/1.56 NO 3.32/1.57 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.32/1.57 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.32/1.57 3.32/1.57 3.32/1.57 Termination w.r.t. Q of the given QTRS could be disproven: 3.32/1.57 3.32/1.57 (0) QTRS 3.32/1.57 (1) NonTerminationProof [COMPLETE, 0 ms] 3.32/1.57 (2) NO 3.32/1.57 3.32/1.57 3.32/1.57 ---------------------------------------- 3.32/1.57 3.32/1.57 (0) 3.32/1.57 Obligation: 3.32/1.57 Q restricted rewrite system: 3.32/1.57 The TRS R consists of the following rules: 3.32/1.57 3.32/1.57 b(b(b(x1))) -> a(a(x1)) 3.32/1.57 a(a(x1)) -> b(a(b(x1))) 3.32/1.57 3.32/1.57 Q is empty. 3.32/1.57 3.32/1.57 ---------------------------------------- 3.32/1.57 3.32/1.57 (1) NonTerminationProof (COMPLETE) 3.32/1.57 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 3.32/1.57 3.32/1.57 Found the self-embedding DerivationStructure: 3.32/1.57 "a a b b a b b a -> b a a b b a b b a b" 3.32/1.57 a a b b a b b a -> b a a b b a b b a b 3.32/1.57 by OverlapClosure OC 2"a a b b a b b -> b a a b b a b a 3.32/1.57 by OverlapClosure OC 2"a a -> b a b 3.32/1.57 by original rule (OC 1)""b b b a b b -> a b b a b a 3.32/1.57 by OverlapClosure OC 2"b b b -> a a 3.32/1.57 by original rule (OC 1)""a a b b -> b b a b a 3.32/1.57 by OverlapClosure OC 3"a a b b -> b a a a 3.32/1.57 by OverlapClosure OC 2"a a -> b a b 3.32/1.57 by original rule (OC 1)""b b b -> a a 3.32/1.57 by original rule (OC 1)"""a a -> b a b 3.32/1.57 by original rule (OC 1)"""""a a -> b a b 3.32/1.57 by original rule (OC 1)" 3.32/1.57 3.32/1.57 ---------------------------------------- 3.32/1.57 3.32/1.57 (2) 3.32/1.57 NO 3.41/1.87 EOF