256.60/66.04 NO 256.72/66.04 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 256.72/66.04 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 256.72/66.04 256.72/66.04 256.72/66.04 Termination w.r.t. Q of the given QTRS could be disproven: 256.72/66.04 256.72/66.04 (0) QTRS 256.72/66.04 (1) NonTerminationProof [COMPLETE, 10.1 s] 256.72/66.04 (2) NO 256.72/66.04 256.72/66.04 256.72/66.04 ---------------------------------------- 256.72/66.04 256.72/66.04 (0) 256.72/66.04 Obligation: 256.72/66.04 Q restricted rewrite system: 256.72/66.04 The TRS R consists of the following rules: 256.72/66.04 256.72/66.04 a(a(b(b(x1)))) -> b(b(b(a(a(a(x1)))))) 256.72/66.04 a(x1) -> x1 256.72/66.04 256.72/66.04 Q is empty. 256.72/66.04 256.72/66.04 ---------------------------------------- 256.72/66.04 256.72/66.04 (1) NonTerminationProof (COMPLETE) 256.72/66.04 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 256.72/66.04 256.72/66.04 Found the self-embedding DerivationStructure: 256.72/66.04 "a a b b a b b b b b b a b b b -> b b b b b b b b b a a b b a b b b b b b a b b b a a a" 256.72/66.04 a a b b a b b b b b b a b b b -> b b b b b b b b b a a b b a b b b b b b a b b b a a a 256.72/66.04 by OverlapClosure OC 2"a a b b a b b b b b b a b b -> b b b b b b b b b a a b b a b b b b b b a a a b 256.72/66.04 by OverlapClosure OC 3"a a b b a b b b b b b a b b -> b b b b b b b b b a a b b a b b b a a b b b 256.72/66.04 by OverlapClosure OC 2"a a b b a b b b b b b -> b b b b b b b b b a a b b a b b b a a a 256.72/66.04 by OverlapClosure OC 2"a a b b a b b b b -> b b b b b b b b b a a b b a a a 256.72/66.04 by OverlapClosure OC 3"a a b b a b b b b -> b b b b b b a a b b b b a a a 256.72/66.04 by OverlapClosure OC 3"a a b b a b b b b -> b b b b b b a a a b b b b a a a 256.72/66.04 by OverlapClosure OC 2"a a b b a b b -> b b b b b b a a a b a a 256.72/66.04 by OverlapClosure OC 3"a a b b a b b -> b b b a a b b b a a 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)""a a b b -> b b b a a 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)""a -> 256.72/66.04 by original rule (OC 1)""""a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)"""a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)"""a -> 256.72/66.04 by original rule (OC 1)"""a a b b -> b b b a a 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)""a -> 256.72/66.04 by original rule (OC 1)""""a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)"""a a b b -> b b b 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a a 256.72/66.04 by OverlapClosure OC 2"a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)""a -> 256.72/66.04 by original rule (OC 1)"""a -> 256.72/66.04 by original rule (OC 1)"""a -> 256.72/66.04 by original rule (OC 1)""""a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)"""a a b b -> b b b a a a 256.72/66.04 by original rule (OC 1)" 256.72/66.04 256.72/66.04 ---------------------------------------- 256.72/66.04 256.72/66.04 (2) 256.72/66.04 NO 256.76/66.21 EOF