2.64/1.28 NO 2.88/1.28 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.88/1.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.88/1.28 2.88/1.28 2.88/1.28 Outermost Termination of the given OTRS could be disproven: 2.88/1.28 2.88/1.28 (0) OTRS 2.88/1.28 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.88/1.28 (2) NO 2.88/1.28 2.88/1.28 2.88/1.28 ---------------------------------------- 2.88/1.28 2.88/1.28 (0) 2.88/1.28 Obligation: 2.88/1.28 Term rewrite system R: 2.88/1.28 The TRS R consists of the following rules: 2.88/1.28 2.88/1.28 f(X, g(X)) -> f(1, g(X)) 2.88/1.28 g(1) -> g(0) 2.88/1.28 2.88/1.28 2.88/1.28 2.88/1.28 Outermost Strategy. 2.88/1.28 2.88/1.28 ---------------------------------------- 2.88/1.28 2.88/1.28 (1) OutermostNonTerminationProof (COMPLETE) 2.88/1.28 Term rewrite system R: 2.88/1.28 The TRS R consists of the following rules: 2.88/1.28 2.88/1.28 f(X, g(X)) -> f(1, g(X)) 2.88/1.28 g(1) -> g(0) 2.88/1.28 2.88/1.28 2.88/1.28 2.88/1.28 Outermost Strategy. 2.88/1.28 2.88/1.28 ---------- Loop: ---------- 2.88/1.28 2.88/1.28 f(1, g(1)) -> f(1, g(1)) with rule f(X, g(X)) -> f(1, g(X)) at position [] and matcher [X / 1] 2.88/1.28 2.88/1.28 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.88/1.28 2.88/1.28 Context: [] 2.88/1.28 2.88/1.28 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.88/1.28 ---------------------------------------- 2.88/1.28 2.88/1.28 (2) 2.88/1.28 NO 2.88/1.31 EOF