2.42/1.34 NO 2.42/1.35 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 2.42/1.35 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.42/1.35 2.42/1.35 2.42/1.35 Outermost Termination of the given OTRS could be disproven: 2.42/1.35 2.42/1.35 (0) OTRS 2.42/1.35 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.42/1.35 (2) NO 2.42/1.35 2.42/1.35 2.42/1.35 ---------------------------------------- 2.42/1.35 2.42/1.35 (0) 2.42/1.35 Obligation: 2.42/1.35 Term rewrite system R: 2.42/1.35 The TRS R consists of the following rules: 2.42/1.35 2.42/1.35 2nd(cons(X)) -> Y 2.42/1.35 from(X) -> cons(X) 2.42/1.35 2.42/1.35 2.42/1.35 2.42/1.35 Outermost Strategy. 2.42/1.35 2.42/1.35 ---------------------------------------- 2.42/1.35 2.42/1.35 (1) OutermostNonTerminationProof (COMPLETE) 2.42/1.35 Term rewrite system R: 2.42/1.35 The TRS R consists of the following rules: 2.42/1.35 2.42/1.35 2nd(cons(X)) -> Y 2.42/1.35 from(X) -> cons(X) 2.42/1.35 2.42/1.35 2.42/1.35 2.42/1.35 Outermost Strategy. 2.42/1.35 2.42/1.35 ---------- Loop: ---------- 2.42/1.35 2.42/1.35 2nd(cons(X)) -> 2nd(cons(X)) with rule 2nd(cons(X'')) -> Y at position [] and matcher [X'' / X, Y / 2nd(cons(X))] 2.42/1.35 2.42/1.35 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.42/1.35 2.42/1.35 Context: [] 2.42/1.35 2.42/1.35 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.42/1.35 ---------------------------------------- 2.42/1.35 2.42/1.35 (2) 2.42/1.35 NO 2.51/1.38 EOF