2.67/1.33 NO 2.97/1.33 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 2.97/1.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.97/1.33 2.97/1.33 2.97/1.33 Outermost Termination of the given OTRS could be disproven: 2.97/1.33 2.97/1.33 (0) OTRS 2.97/1.33 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.97/1.33 (2) NO 2.97/1.33 2.97/1.33 2.97/1.33 ---------------------------------------- 2.97/1.33 2.97/1.33 (0) 2.97/1.33 Obligation: 2.97/1.33 Term rewrite system R: 2.97/1.33 The TRS R consists of the following rules: 2.97/1.33 2.97/1.33 f(x, y, f(z, u, v)) -> f(f(x, y, z), u, f(x, y, v)) 2.97/1.33 2.97/1.33 2.97/1.33 2.97/1.33 Outermost Strategy. 2.97/1.33 2.97/1.33 ---------------------------------------- 2.97/1.33 2.97/1.33 (1) OutermostNonTerminationProof (COMPLETE) 2.97/1.33 Term rewrite system R: 2.97/1.33 The TRS R consists of the following rules: 2.97/1.33 2.97/1.33 f(x, y, f(z, u, v)) -> f(f(x, y, z), u, f(x, y, v)) 2.97/1.33 2.97/1.33 2.97/1.33 2.97/1.33 Outermost Strategy. 2.97/1.33 2.97/1.33 ---------- Loop: ---------- 2.97/1.33 2.97/1.33 f(x, y, f(z, u, v)) -> f(f(x, y, z), u, f(x, y, v)) with rule f(x', y', f(z', u', v')) -> f(f(x', y', z'), u', f(x', y', v')) at position [] and matcher [x' / x, y' / y, z' / z, u' / u, v' / v] 2.97/1.33 2.97/1.33 Now an instance of the first term with Matcher [x / f(x, y, z), y / u, z / x, u / y] occurs in the last term at position []. 2.97/1.33 2.97/1.33 Context: [] 2.97/1.33 2.97/1.33 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.97/1.33 ---------------------------------------- 2.97/1.33 2.97/1.33 (2) 2.97/1.33 NO 2.97/1.37 EOF