7.71/2.85 NO 7.98/2.94 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 7.98/2.94 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.98/2.94 7.98/2.94 7.98/2.94 Termination w.r.t. Q of the given QTRS could be disproven: 7.98/2.94 7.98/2.94 (0) QTRS 7.98/2.94 (1) NonTerminationProof [COMPLETE, 529 ms] 7.98/2.94 (2) NO 7.98/2.94 7.98/2.94 7.98/2.94 ---------------------------------------- 7.98/2.94 7.98/2.94 (0) 7.98/2.94 Obligation: 7.98/2.94 Q restricted rewrite system: 7.98/2.94 The TRS R consists of the following rules: 7.98/2.94 7.98/2.94 a(x1) -> b(x1) 7.98/2.94 a(b(c(x1))) -> c(c(a(a(x1)))) 7.98/2.94 c(c(x1)) -> b(x1) 7.98/2.94 7.98/2.94 Q is empty. 7.98/2.94 7.98/2.94 ---------------------------------------- 7.98/2.94 7.98/2.94 (1) NonTerminationProof (COMPLETE) 7.98/2.94 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 7.98/2.94 7.98/2.94 Found the self-embedding DerivationStructure: 7.98/2.94 "a b c b c c c c c -> b a b c b c c c c c a a" 7.98/2.94 a b c b c c c c c -> b a b c b c c c c c a a 7.98/2.94 by OverlapClosure OC 2"a b c b c c c c -> b a b c b c c c a b 7.98/2.94 by OverlapClosure OC 2"a b c -> b a a 7.98/2.94 by OverlapClosure OC 3"a b c -> c c a a 7.98/2.94 by original rule (OC 1)""c c -> b 7.98/2.94 by original rule (OC 1)"""a b c c c c -> b c b c c c a b 7.98/2.94 by OverlapClosure OC 2"a b c c c c -> b c b c c c a a 7.98/2.94 by OverlapClosure OC 2"a b c c c -> b c b c a b 7.98/2.94 by OverlapClosure OC 2"a b c c c -> b c b c a a 7.98/2.94 by OverlapClosure OC 3"a b c c c -> b c c c c a a 7.98/2.94 by OverlapClosure OC 2"a b c c -> b c c a b 7.98/2.94 by OverlapClosure OC 2"a b c c -> b c c a a 7.98/2.94 by OverlapClosure OC 2"a b c -> b a b 7.98/2.94 by OverlapClosure OC 2"a b c -> b a a 7.98/2.94 by OverlapClosure OC 3"a b c -> c c a a 7.98/2.94 by original rule (OC 1)""c c -> b 7.98/2.94 by original rule (OC 1)"""a -> b 7.98/2.94 by original rule (OC 1)"""a b c -> c c a a 7.98/2.94 by original rule (OC 1)"""a -> b 7.98/2.94 by original rule (OC 1)"""a b c -> c c a a 7.98/2.94 by original rule (OC 1)"""c c -> b 7.98/2.94 by original rule (OC 1)"""a -> b 7.98/2.94 by original rule (OC 1)"""a b c -> c c a a 7.98/2.94 by original rule (OC 1)"""a -> b 7.98/2.94 by original rule (OC 1)""""a b c -> c c a a 7.98/2.94 by original rule (OC 1)" 7.98/2.94 7.98/2.94 ---------------------------------------- 7.98/2.94 7.98/2.94 (2) 7.98/2.94 NO 8.29/3.03 EOF