612.91/156.50 NO 613.43/156.59 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 613.43/156.59 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 613.43/156.59 613.43/156.59 613.43/156.59 Termination w.r.t. Q of the given QTRS could be disproven: 613.43/156.59 613.43/156.59 (0) QTRS 613.43/156.59 (1) NonTerminationProof [COMPLETE, 23.8 s] 613.43/156.59 (2) NO 613.43/156.59 613.43/156.59 613.43/156.59 ---------------------------------------- 613.43/156.59 613.43/156.59 (0) 613.43/156.59 Obligation: 613.43/156.59 Q restricted rewrite system: 613.43/156.59 The TRS R consists of the following rules: 613.43/156.59 613.43/156.59 a(b(x1)) -> x1 613.43/156.59 a(c(x1)) -> c(c(c(b(x1)))) 613.43/156.59 b(c(x1)) -> a(b(x1)) 613.43/156.59 613.43/156.59 Q is empty. 613.43/156.59 613.43/156.59 ---------------------------------------- 613.43/156.59 613.43/156.59 (1) NonTerminationProof (COMPLETE) 613.43/156.59 We used the non-termination processor [OPPELT08] to show that the SRS problem is infinite. 613.43/156.59 613.43/156.59 Found the self-embedding DerivationStructure: 613.43/156.59 "b c c c c c c c c -> c c c b c c c c c c c c b b b" 613.43/156.59 b c c c c c c c c -> c c c b c c c c c c c c b b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c c -> a c c c c c c c c c b b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c c -> a c c c c c c a c b b 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""b c c c c c c c -> c c c c c c a c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c c c c a b c c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c c c c b c c c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a c c c c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a c c c b c c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a a c c c b b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a a a c b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a a a b c c b 613.43/156.59 by OverlapClosure OC 3"b c c c c c c c -> c c c a a b c c c b 613.43/156.59 by OverlapClosure OC 2"b c c c c c c -> c c c a a b a 613.43/156.59 by OverlapClosure OC 2"b c c c c -> c c c a a b b 613.43/156.59 by OverlapClosure OC 3"b c c c c -> c c c a b c b 613.43/156.59 by OverlapClosure OC 3"b c c c c -> c c c b c c b 613.43/156.59 by OverlapClosure OC 3"b c c c c -> a c c c b 613.43/156.59 by OverlapClosure OC 2"b c c c -> a a 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""b c c -> a 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""b c -> 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""a b -> 613.43/156.59 by original rule (OC 1)"""""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""b c -> a b 613.43/156.59 by original rule (OC 1)"""b c -> a b 613.43/156.59 by original rule (OC 1)"""b c c -> a 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""b c -> 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""a b -> 613.43/156.59 by original rule (OC 1)"""""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""b c -> a b 613.43/156.59 by original rule (OC 1)"""b c -> 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""a b -> 613.43/156.59 by original rule (OC 1)""""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""b c -> 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""a b -> 613.43/156.59 by original rule (OC 1)""""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""b c -> a b 613.43/156.59 by original rule (OC 1)"""b c -> 613.43/156.59 by OverlapClosure OC 2"b c -> a b 613.43/156.59 by original rule (OC 1)""a b -> 613.43/156.59 by original rule (OC 1)"""""a c -> c c c b 613.43/156.59 by original rule (OC 1)"""a c -> c c c b 613.43/156.59 by original rule (OC 1)" 613.43/156.59 613.43/156.59 ---------------------------------------- 613.43/156.59 613.43/156.59 (2) 613.43/156.59 NO 613.77/156.66 EOF