2.33/1.25 NO 2.33/1.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.33/1.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.33/1.26 2.33/1.26 2.33/1.26 Outermost Termination of the given OTRS could be disproven: 2.33/1.26 2.33/1.26 (0) OTRS 2.33/1.26 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.33/1.26 (2) NO 2.33/1.26 2.33/1.26 2.33/1.26 ---------------------------------------- 2.33/1.26 2.33/1.26 (0) 2.33/1.26 Obligation: 2.33/1.26 Term rewrite system R: 2.33/1.26 The TRS R consists of the following rules: 2.33/1.26 2.33/1.26 if(false, X) -> Y 2.33/1.26 f(X) -> if(X, c) 2.33/1.26 if(true, X) -> X 2.33/1.26 2.33/1.26 2.33/1.26 2.33/1.26 Outermost Strategy. 2.33/1.26 2.33/1.26 ---------------------------------------- 2.33/1.26 2.33/1.26 (1) OutermostNonTerminationProof (COMPLETE) 2.33/1.26 Term rewrite system R: 2.33/1.26 The TRS R consists of the following rules: 2.33/1.26 2.33/1.26 if(false, X) -> Y 2.33/1.26 f(X) -> if(X, c) 2.33/1.26 if(true, X) -> X 2.33/1.26 2.33/1.26 2.33/1.26 2.33/1.26 Outermost Strategy. 2.33/1.26 2.33/1.26 ---------- Loop: ---------- 2.33/1.26 2.33/1.26 if(false, X) -> if(false, X) with rule if(false, X'') -> Y at position [] and matcher [X'' / X, Y / if(false, X)] 2.33/1.26 2.33/1.26 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.33/1.26 2.33/1.26 Context: [] 2.33/1.26 2.33/1.26 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.33/1.26 ---------------------------------------- 2.33/1.26 2.33/1.26 (2) 2.33/1.26 NO 2.33/1.29 EOF