532.85/136.87 NO 533.17/136.90 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 533.17/136.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 533.17/136.90 533.17/136.90 533.17/136.90 Termination w.r.t. Q of the given QTRS could be disproven: 533.17/136.90 533.17/136.90 (0) QTRS 533.17/136.90 (1) NonTerminationProof [COMPLETE, 21.5 s] 533.17/136.90 (2) NO 533.17/136.90 533.17/136.90 533.17/136.90 ---------------------------------------- 533.17/136.90 533.17/136.90 (0) 533.17/136.90 Obligation: 533.17/136.90 Q restricted rewrite system: 533.17/136.90 The TRS R consists of the following rules: 533.17/136.90 533.17/136.90 a(x1) -> b(x1) 533.17/136.90 b(a(b(c(x1)))) -> b(c(c(a(a(a(x1)))))) 533.17/136.90 533.17/136.90 Q is empty. 533.17/136.90 533.17/136.90 ---------------------------------------- 533.17/136.90 533.17/136.90 (1) NonTerminationProof (COMPLETE) 533.17/136.90 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 533.17/136.90 533.17/136.90 Found the self-embedding DerivationStructure: 533.17/136.90 "b a b c a b c c b c c -> b c c b c c b c c a b c c b a b c a b c c b c c a a a" 533.17/136.90 b a b c a b c c b c c -> b c c b c c b c c a b c c b a b c a b c c b c c a a a 533.17/136.90 by OverlapClosure OC 2"b a b c a b c c b c -> b c c b c c b c c a b c c b a b c a b c c b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c c b c -> b c c b c c b c c a b c c b a b c a b c c a a b 533.17/136.90 by OverlapClosure OC 2"b a b c a b c c b c -> b c c b c c b c c a b c c b a b c a b c c a a a 533.17/136.90 by OverlapClosure OC 2"b a b c a b c c -> b c c b c c b c c a b c c b a b c a b a 533.17/136.90 by OverlapClosure OC 3"b a b c a b c c -> b c c b c c b c c a b c c b a a c a b a 533.17/136.90 by OverlapClosure OC 3"b a b c a b c c -> b c c b c c b c c a b c c a a a c a b a 533.17/136.90 by OverlapClosure OC 3"b a b c a b c c -> b c c b c c b c c a b a b c c a b a 533.17/136.90 by OverlapClosure OC 3"b a b c a b c c -> b c c b c c b c c a b a b c c a a a 533.17/136.90 by OverlapClosure OC 2"b a b c a b c -> b c c b c c b c c a b a b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c -> b c c b c c b c c a a a b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c -> b c c b c c b a b c b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c -> b c c b c c b a a c b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c -> b c c b c c a a a c b a b 533.17/136.90 by OverlapClosure OC 3"b a b c a b c -> b c c b a b c c b a b 533.17/136.90 by OverlapClosure OC 2"b a b c -> b c c b a a 533.17/136.90 by OverlapClosure OC 3"b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)""a -> b 533.17/136.90 by original rule (OC 1)"""a a b c -> b c c b a b 533.17/136.90 by OverlapClosure OC 2"a -> b 533.17/136.90 by original rule (OC 1)""b a b c -> b c c b a b 533.17/136.90 by OverlapClosure OC 3"b a b c -> b c c a a b 533.17/136.90 by OverlapClosure OC 2"b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)""a -> b 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""a -> b 533.17/136.90 by original rule (OC 1)"""b a b c -> b c c a a a 533.17/136.90 by original rule (OC 1)" 533.17/136.90 533.17/136.90 ---------------------------------------- 533.17/136.90 533.17/136.90 (2) 533.17/136.90 NO 533.17/136.94 EOF