2.59/1.26 NO 2.59/1.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.59/1.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.59/1.27 2.59/1.27 2.59/1.27 Outermost Termination of the given OTRS could be disproven: 2.59/1.27 2.59/1.27 (0) OTRS 2.59/1.27 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.59/1.27 (2) NO 2.59/1.27 2.59/1.27 2.59/1.27 ---------------------------------------- 2.59/1.27 2.59/1.27 (0) 2.59/1.27 Obligation: 2.59/1.27 Term rewrite system R: 2.59/1.27 The TRS R consists of the following rules: 2.59/1.27 2.59/1.27 f(a, b, X) -> f(X, X, X) 2.59/1.27 c -> a 2.59/1.27 c -> b 2.59/1.27 2.59/1.27 2.59/1.27 2.59/1.27 Outermost Strategy. 2.59/1.27 2.59/1.27 ---------------------------------------- 2.59/1.27 2.59/1.27 (1) OutermostNonTerminationProof (COMPLETE) 2.59/1.27 Term rewrite system R: 2.59/1.27 The TRS R consists of the following rules: 2.59/1.27 2.59/1.27 f(a, b, X) -> f(X, X, X) 2.59/1.27 c -> a 2.59/1.27 c -> b 2.59/1.27 2.59/1.27 2.59/1.27 2.59/1.27 Outermost Strategy. 2.59/1.27 2.59/1.27 ---------- Loop: ---------- 2.59/1.27 2.59/1.27 f(c, c, c) -> f(c, b, c) with rule c -> b at position [1] and matcher [ ] 2.59/1.27 2.59/1.27 f(c, b, c) -> f(a, b, c) with rule c -> a at position [0] and matcher [ ] 2.59/1.27 2.59/1.27 f(a, b, c) -> f(c, c, c) with rule f(a, b, X) -> f(X, X, X) at position [] and matcher [X / c] 2.59/1.27 2.59/1.27 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.59/1.27 2.59/1.27 Context: [] 2.59/1.27 2.59/1.27 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.59/1.27 ---------------------------------------- 2.59/1.27 2.59/1.27 (2) 2.59/1.27 NO 2.59/1.29 EOF