61.67/16.54 NO 61.92/16.56 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 61.92/16.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 61.92/16.56 61.92/16.56 61.92/16.56 Termination w.r.t. Q of the given QTRS could be disproven: 61.92/16.56 61.92/16.56 (0) QTRS 61.92/16.56 (1) NonTerminationProof [COMPLETE, 3047 ms] 61.92/16.56 (2) NO 61.92/16.56 61.92/16.56 61.92/16.56 ---------------------------------------- 61.92/16.56 61.92/16.56 (0) 61.92/16.56 Obligation: 61.92/16.56 Q restricted rewrite system: 61.92/16.56 The TRS R consists of the following rules: 61.92/16.56 61.92/16.56 a(x1) -> b(x1) 61.92/16.56 a(a(b(c(x1)))) -> b(c(c(a(a(a(x1)))))) 61.92/16.56 61.92/16.56 Q is empty. 61.92/16.56 61.92/16.56 ---------------------------------------- 61.92/16.56 61.92/16.56 (1) NonTerminationProof (COMPLETE) 61.92/16.56 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 61.92/16.56 61.92/16.56 Found the self-embedding DerivationStructure: 61.92/16.56 "a a b c a b c c b c c -> b c c b c c b c c a b c c a a b c a b c c b c c a a a" 61.92/16.56 a a b c a b c c b c c -> b c c b c c b c c a b c c a a b c a b c c b c c a a a 61.92/16.56 by OverlapClosure OC 2"a a b c a b c c b c -> b c c b c c b c c a b c c a a b c a b c c a a b 61.92/16.56 by OverlapClosure OC 2"a a b c a b c c b c -> b c c b c c b c c a b c c a a b c a b c c a a a 61.92/16.56 by OverlapClosure OC 2"a a b c a b c c -> b c c b c c b c c a b c c a a b c a a a 61.92/16.56 by OverlapClosure OC 3"a 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 a a 61.92/16.56 by OverlapClosure OC 3"a a b c a b c c -> b c c b c c b c c a a a b c c a a a 61.92/16.56 by OverlapClosure OC 2"a a b c a b c -> b c c b c c b c c a a a a a b 61.92/16.56 by OverlapClosure OC 3"a a b c a b c -> b c c b c c a a b c a a b 61.92/16.56 by OverlapClosure OC 3"a a b c a b c -> b c c b c c a a a c a a b 61.92/16.56 by OverlapClosure OC 3"a a b c a b c -> b c c a a b c c a a b 61.92/16.56 by OverlapClosure OC 2"a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)""a a b c -> b c c a a b 61.92/16.56 by OverlapClosure OC 2"a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)""a -> b 61.92/16.56 by original rule (OC 1)""""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)"""a -> b 61.92/16.56 by original rule (OC 1)"""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)"""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)"""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)"""a -> b 61.92/16.56 by original rule (OC 1)"""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)"""a -> b 61.92/16.56 by original rule (OC 1)"""a a b c -> b c c a a a 61.92/16.56 by original rule (OC 1)" 61.92/16.56 61.92/16.56 ---------------------------------------- 61.92/16.56 61.92/16.56 (2) 61.92/16.56 NO 62.16/16.66 EOF