4.79/2.02 NO 5.36/2.16 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 5.36/2.16 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.36/2.16 5.36/2.16 5.36/2.16 Termination w.r.t. Q of the given QTRS could be disproven: 5.36/2.16 5.36/2.16 (0) QTRS 5.36/2.16 (1) NonTerminationProof [COMPLETE, 174 ms] 5.36/2.16 (2) NO 5.36/2.16 5.36/2.16 5.36/2.16 ---------------------------------------- 5.36/2.16 5.36/2.16 (0) 5.36/2.16 Obligation: 5.36/2.16 Q restricted rewrite system: 5.36/2.16 The TRS R consists of the following rules: 5.36/2.16 5.36/2.16 a(x1) -> x1 5.36/2.16 a(b(x1)) -> b(a(c(b(a(x1))))) 5.36/2.16 b(x1) -> x1 5.36/2.16 c(c(x1)) -> x1 5.36/2.16 5.36/2.16 Q is empty. 5.36/2.16 5.36/2.16 ---------------------------------------- 5.36/2.16 5.36/2.16 (1) NonTerminationProof (COMPLETE) 5.36/2.16 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 5.36/2.16 5.36/2.16 Found the self-embedding DerivationStructure: 5.36/2.16 "a b b b c b -> a b b b c b" 5.36/2.16 a b b b c b -> a b b b c b 5.36/2.16 by OverlapClosure OC 3"a b b b c b -> a b b b a c b 5.36/2.16 by OverlapClosure OC 2"a b b b c -> a b b a 5.36/2.16 by OverlapClosure OC 3"a b b b c -> b a b b a 5.36/2.16 by OverlapClosure OC 2"a b b b -> b a b b a c 5.36/2.16 by OverlapClosure OC 2"a b b b -> b a b b a c b 5.36/2.16 by OverlapClosure OC 2"a b b -> b a b a 5.36/2.16 by OverlapClosure OC 3"a b b -> b a c c b a 5.36/2.16 by OverlapClosure OC 3"a b b -> b a c b c b a 5.36/2.16 by OverlapClosure OC 2"a b -> b a c a 5.36/2.16 by OverlapClosure OC 3"a b -> b a c b a 5.36/2.16 by original rule (OC 1)""b -> 5.36/2.16 by original rule (OC 1)"""a b -> b c b a 5.36/2.16 by OverlapClosure OC 3"a b -> b a c b a 5.36/2.16 by original rule (OC 1)""a -> 5.36/2.16 by original rule (OC 1)""""b -> 5.36/2.16 by original rule (OC 1)"""c c -> 5.36/2.16 by original rule (OC 1)"""a b -> b a c b 5.36/2.16 by OverlapClosure OC 2"a b -> b a c b a 5.36/2.16 by original rule (OC 1)""a -> 5.36/2.16 by original rule (OC 1)""""b -> 5.36/2.16 by original rule (OC 1)"""c c -> 5.36/2.16 by original rule (OC 1)"""b -> 5.36/2.16 by original rule (OC 1)"""a b -> b a c b 5.36/2.16 by OverlapClosure OC 2"a b -> b a c b a 5.36/2.16 by original rule (OC 1)""a -> 5.36/2.16 by original rule (OC 1)""""a -> 5.36/2.16 by original rule (OC 1)" 5.36/2.16 5.36/2.16 ---------------------------------------- 5.36/2.16 5.36/2.16 (2) 5.36/2.16 NO 5.36/2.21 EOF