2.49/1.35 NO 2.49/1.35 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.49/1.35 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.49/1.35 2.49/1.35 2.49/1.35 Outermost Termination of the given OTRS could be disproven: 2.49/1.35 2.49/1.35 (0) OTRS 2.49/1.35 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.49/1.35 (2) NO 2.49/1.35 2.49/1.35 2.49/1.35 ---------------------------------------- 2.49/1.35 2.49/1.35 (0) 2.49/1.35 Obligation: 2.49/1.35 Term rewrite system R: 2.49/1.35 The TRS R consists of the following rules: 2.49/1.35 2.49/1.35 f(X) -> f(X) 2.49/1.35 c -> a 2.49/1.35 c -> b 2.49/1.35 2.49/1.35 2.49/1.35 2.49/1.35 Outermost Strategy. 2.49/1.35 2.49/1.35 ---------------------------------------- 2.49/1.35 2.49/1.35 (1) OutermostNonTerminationProof (COMPLETE) 2.49/1.35 Term rewrite system R: 2.49/1.35 The TRS R consists of the following rules: 2.49/1.35 2.49/1.35 f(X) -> f(X) 2.49/1.35 c -> a 2.49/1.35 c -> b 2.49/1.35 2.49/1.35 2.49/1.35 2.49/1.35 Outermost Strategy. 2.49/1.35 2.49/1.35 ---------- Loop: ---------- 2.49/1.35 2.49/1.35 f(X) -> f(X) with rule f(X') -> f(X') at position [] and matcher [X' / X] 2.49/1.35 2.49/1.35 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.49/1.35 2.49/1.35 Context: [] 2.49/1.35 2.49/1.35 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.49/1.35 ---------------------------------------- 2.49/1.35 2.49/1.35 (2) 2.49/1.35 NO 2.59/1.38 EOF