2.46/1.24 NO 2.46/1.25 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.46/1.25 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.46/1.25 2.46/1.25 2.46/1.25 Outermost Termination of the given OTRS could be disproven: 2.46/1.25 2.46/1.25 (0) OTRS 2.46/1.25 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.46/1.25 (2) NO 2.46/1.25 2.46/1.25 2.46/1.25 ---------------------------------------- 2.46/1.25 2.46/1.25 (0) 2.46/1.25 Obligation: 2.46/1.25 Term rewrite system R: 2.46/1.25 The TRS R consists of the following rules: 2.46/1.25 2.46/1.25 g(X) -> h(X) 2.46/1.25 c -> d 2.46/1.25 h(d) -> g(c) 2.46/1.25 2.46/1.25 2.46/1.25 2.46/1.25 Outermost Strategy. 2.46/1.25 2.46/1.25 ---------------------------------------- 2.46/1.25 2.46/1.25 (1) OutermostNonTerminationProof (COMPLETE) 2.46/1.25 Term rewrite system R: 2.46/1.25 The TRS R consists of the following rules: 2.46/1.25 2.46/1.25 g(X) -> h(X) 2.46/1.25 c -> d 2.46/1.25 h(d) -> g(c) 2.46/1.25 2.46/1.25 2.46/1.25 2.46/1.25 Outermost Strategy. 2.46/1.25 2.46/1.25 ---------- Loop: ---------- 2.46/1.25 2.46/1.25 h(c) -> h(d) with rule c -> d at position [0] and matcher [ ] 2.46/1.25 2.46/1.25 h(d) -> g(c) with rule h(d) -> g(c) at position [] and matcher [ ] 2.46/1.25 2.46/1.25 g(c) -> h(c) with rule g(X) -> h(X) at position [] and matcher [X / c] 2.46/1.25 2.46/1.25 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.46/1.25 2.46/1.25 Context: [] 2.46/1.25 2.46/1.25 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.46/1.25 ---------------------------------------- 2.46/1.25 2.46/1.25 (2) 2.46/1.25 NO 2.71/1.28 EOF