2.37/1.17 NO 2.37/1.18 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.37/1.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.37/1.18 2.37/1.18 2.37/1.18 Outermost Termination of the given OTRS could be disproven: 2.37/1.18 2.37/1.18 (0) OTRS 2.37/1.18 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.37/1.18 (2) NO 2.37/1.18 2.37/1.18 2.37/1.18 ---------------------------------------- 2.37/1.18 2.37/1.18 (0) 2.37/1.18 Obligation: 2.37/1.18 Term rewrite system R: 2.37/1.18 The TRS R consists of the following rules: 2.37/1.18 2.37/1.18 f(x) -> f(g(x)) 2.37/1.18 2.37/1.18 2.37/1.18 2.37/1.18 Outermost Strategy. 2.37/1.18 2.37/1.18 ---------------------------------------- 2.37/1.18 2.37/1.18 (1) OutermostNonTerminationProof (COMPLETE) 2.37/1.18 Term rewrite system R: 2.37/1.18 The TRS R consists of the following rules: 2.37/1.18 2.37/1.18 f(x) -> f(g(x)) 2.37/1.18 2.37/1.18 2.37/1.18 2.37/1.18 Outermost Strategy. 2.37/1.18 2.37/1.18 ---------- Loop: ---------- 2.37/1.18 2.37/1.18 f(x) -> f(g(x)) with rule f(x') -> f(g(x')) at position [] and matcher [x' / x] 2.37/1.18 2.37/1.18 Now an instance of the first term with Matcher [x / g(x)] occurs in the last term at position []. 2.37/1.18 2.37/1.18 Context: [] 2.37/1.18 2.37/1.18 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.37/1.18 ---------------------------------------- 2.37/1.18 2.37/1.18 (2) 2.37/1.18 NO 2.56/1.21 EOF