3.21/1.57 NO 3.21/1.60 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.21/1.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.21/1.60 3.21/1.60 3.21/1.60 Termination w.r.t. Q of the given QTRS could be disproven: 3.21/1.60 3.21/1.60 (0) QTRS 3.21/1.60 (1) NonTerminationProof [COMPLETE, 0 ms] 3.21/1.60 (2) NO 3.21/1.60 3.21/1.60 3.21/1.60 ---------------------------------------- 3.21/1.60 3.21/1.60 (0) 3.21/1.60 Obligation: 3.21/1.60 Q restricted rewrite system: 3.21/1.60 The TRS R consists of the following rules: 3.21/1.60 3.21/1.60 a(x1) -> x1 3.21/1.60 a(b(x1)) -> a(a(c(b(b(a(x1)))))) 3.21/1.60 b(x1) -> x1 3.21/1.60 c(c(x1)) -> x1 3.21/1.60 3.21/1.60 Q is empty. 3.21/1.60 3.21/1.60 ---------------------------------------- 3.21/1.60 3.21/1.60 (1) NonTerminationProof (COMPLETE) 3.21/1.60 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 3.21/1.60 3.21/1.60 Found the self-embedding DerivationStructure: 3.21/1.60 "a b b -> a a b b a" 3.21/1.60 a b b -> a a b b a 3.21/1.60 by OverlapClosure OC 3"a b b -> a a c c b b a 3.21/1.60 by OverlapClosure OC 2"a b -> a a c a 3.21/1.60 by OverlapClosure OC 3"a b -> a a c b a 3.21/1.60 by OverlapClosure OC 3"a b -> a a c b b a 3.21/1.60 by original rule (OC 1)""b -> 3.21/1.60 by original rule (OC 1)"""b -> 3.21/1.60 by original rule (OC 1)"""a b -> c b b a 3.21/1.60 by OverlapClosure OC 3"a b -> a c b b a 3.21/1.60 by OverlapClosure OC 3"a b -> a a c b b a 3.21/1.60 by original rule (OC 1)""a -> 3.21/1.60 by original rule (OC 1)"""a -> 3.21/1.60 by original rule (OC 1)""""c c -> 3.21/1.60 by original rule (OC 1)" 3.21/1.60 3.21/1.60 ---------------------------------------- 3.21/1.60 3.21/1.60 (2) 3.21/1.60 NO 3.48/1.64 EOF