2.75/1.28 NO 2.75/1.29 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.75/1.29 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.75/1.29 2.75/1.29 2.75/1.29 Outermost Termination of the given OTRS could be disproven: 2.75/1.29 2.75/1.29 (0) OTRS 2.75/1.29 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.75/1.29 (2) NO 2.75/1.29 2.75/1.29 2.75/1.29 ---------------------------------------- 2.75/1.29 2.75/1.29 (0) 2.75/1.29 Obligation: 2.75/1.29 Term rewrite system R: 2.75/1.29 The TRS R consists of the following rules: 2.75/1.29 2.75/1.29 eq -> true 2.75/1.29 eq -> eq 2.75/1.29 eq -> false 2.75/1.29 inf(X) -> cons 2.75/1.29 take(0, X) -> nil 2.75/1.29 take(s, cons) -> cons 2.75/1.29 length(nil) -> 0 2.75/1.29 length(cons) -> s 2.75/1.29 2.75/1.29 2.75/1.29 2.75/1.29 Outermost Strategy. 2.75/1.29 2.75/1.29 ---------------------------------------- 2.75/1.29 2.75/1.29 (1) OutermostNonTerminationProof (COMPLETE) 2.75/1.29 Term rewrite system R: 2.75/1.29 The TRS R consists of the following rules: 2.75/1.29 2.75/1.29 eq -> true 2.75/1.29 eq -> eq 2.75/1.29 eq -> false 2.75/1.29 inf(X) -> cons 2.75/1.29 take(0, X) -> nil 2.75/1.29 take(s, cons) -> cons 2.75/1.29 length(nil) -> 0 2.75/1.29 length(cons) -> s 2.75/1.29 2.75/1.29 2.75/1.29 2.75/1.29 Outermost Strategy. 2.75/1.29 2.75/1.29 ---------- Loop: ---------- 2.75/1.29 2.75/1.29 eq -> eq with rule eq -> eq at position [] and matcher [ ] 2.75/1.29 2.75/1.29 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.75/1.29 2.75/1.29 Context: [] 2.75/1.29 2.75/1.29 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.75/1.29 ---------------------------------------- 2.75/1.29 2.75/1.29 (2) 2.75/1.29 NO 2.75/1.31 EOF