3.21/1.55 NO 3.21/1.56 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.21/1.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.21/1.56 3.21/1.56 3.21/1.56 Termination w.r.t. Q of the given QTRS could be disproven: 3.21/1.56 3.21/1.56 (0) QTRS 3.21/1.56 (1) NonTerminationProof [COMPLETE, 0 ms] 3.21/1.56 (2) NO 3.21/1.56 3.21/1.56 3.21/1.56 ---------------------------------------- 3.21/1.56 3.21/1.56 (0) 3.21/1.56 Obligation: 3.21/1.56 Q restricted rewrite system: 3.21/1.56 The TRS R consists of the following rules: 3.21/1.56 3.21/1.56 a(x1) -> x1 3.21/1.56 a(b(x1)) -> b(a(c(b(a(a(x1)))))) 3.21/1.56 c(b(c(x1))) -> x1 3.21/1.56 3.21/1.56 Q is empty. 3.21/1.56 3.21/1.56 ---------------------------------------- 3.21/1.56 3.21/1.56 (1) NonTerminationProof (COMPLETE) 3.21/1.56 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 3.21/1.56 3.21/1.56 Found the self-embedding DerivationStructure: 3.21/1.56 "a b b c b -> b c b a b b c b a" 3.21/1.56 a b b c b -> b c b a b b c b a 3.21/1.56 by OverlapClosure OC 3"a b b c b -> b c b a b b a c b a 3.21/1.56 by OverlapClosure OC 2"a b b c -> b c b a b a 3.21/1.56 by OverlapClosure OC 2"a b b -> b c b a b a c b 3.21/1.56 by OverlapClosure OC 2"a b b -> b c b a b a c b a 3.21/1.56 by OverlapClosure OC 2"a b -> b c b a a 3.21/1.56 by OverlapClosure OC 3"a b -> b a c b a a 3.21/1.56 by original rule (OC 1)""a -> 3.21/1.56 by original rule (OC 1)"""a b -> b a c b a 3.21/1.56 by OverlapClosure OC 2"a b -> b a c b a a 3.21/1.56 by original rule (OC 1)""a -> 3.21/1.56 by original rule (OC 1)""""a -> 3.21/1.56 by original rule (OC 1)"""c b c -> 3.21/1.56 by original rule (OC 1)"""a b -> b a c b a 3.21/1.56 by OverlapClosure OC 2"a b -> b a c b a a 3.21/1.56 by original rule (OC 1)""a -> 3.21/1.56 by original rule (OC 1)""""a -> 3.21/1.56 by original rule (OC 1)" 3.21/1.56 3.21/1.56 ---------------------------------------- 3.21/1.56 3.21/1.56 (2) 3.21/1.56 NO 3.21/1.59 EOF