2.53/1.20 NO 2.53/1.20 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.53/1.20 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.53/1.20 2.53/1.20 2.53/1.20 Outermost Termination of the given OTRS could be disproven: 2.53/1.20 2.53/1.20 (0) OTRS 2.53/1.20 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.53/1.20 (2) NO 2.53/1.20 2.53/1.20 2.53/1.20 ---------------------------------------- 2.53/1.20 2.53/1.20 (0) 2.53/1.20 Obligation: 2.53/1.20 Term rewrite system R: 2.53/1.20 The TRS R consists of the following rules: 2.53/1.20 2.53/1.20 tail(cons(X)) -> XS 2.53/1.20 zeros -> cons(0) 2.53/1.20 2.53/1.20 2.53/1.20 2.53/1.20 Outermost Strategy. 2.53/1.20 2.53/1.20 ---------------------------------------- 2.53/1.20 2.53/1.20 (1) OutermostNonTerminationProof (COMPLETE) 2.53/1.20 Term rewrite system R: 2.53/1.20 The TRS R consists of the following rules: 2.53/1.20 2.53/1.20 tail(cons(X)) -> XS 2.53/1.20 zeros -> cons(0) 2.53/1.20 2.53/1.20 2.53/1.20 2.53/1.20 Outermost Strategy. 2.53/1.20 2.53/1.20 ---------- Loop: ---------- 2.53/1.20 2.53/1.20 tail(cons(X)) -> tail(cons(X)) with rule tail(cons(X'')) -> XS at position [] and matcher [X'' / X, XS / tail(cons(X))] 2.53/1.20 2.53/1.20 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.53/1.20 2.53/1.20 Context: [] 2.53/1.20 2.53/1.20 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.53/1.20 ---------------------------------------- 2.53/1.20 2.53/1.20 (2) 2.53/1.20 NO 2.77/1.24 EOF