2.48/1.25 NO 2.48/1.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.48/1.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.48/1.26 2.48/1.26 2.48/1.26 Outermost Termination of the given OTRS could be disproven: 2.48/1.26 2.48/1.26 (0) OTRS 2.48/1.26 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.48/1.26 (2) NO 2.48/1.26 2.48/1.26 2.48/1.26 ---------------------------------------- 2.48/1.26 2.48/1.26 (0) 2.48/1.26 Obligation: 2.48/1.26 Term rewrite system R: 2.48/1.26 The TRS R consists of the following rules: 2.48/1.26 2.48/1.26 f(X) -> f(a) 2.48/1.26 b -> a 2.48/1.26 2.48/1.26 2.48/1.26 2.48/1.26 Outermost Strategy. 2.48/1.26 2.48/1.26 ---------------------------------------- 2.48/1.26 2.48/1.26 (1) OutermostNonTerminationProof (COMPLETE) 2.48/1.26 Term rewrite system R: 2.48/1.26 The TRS R consists of the following rules: 2.48/1.26 2.48/1.26 f(X) -> f(a) 2.48/1.26 b -> a 2.48/1.26 2.48/1.26 2.48/1.26 2.48/1.26 Outermost Strategy. 2.48/1.26 2.48/1.26 ---------- Loop: ---------- 2.48/1.26 2.48/1.26 f(X) -> f(a) with rule f(X') -> f(a) at position [] and matcher [X' / X] 2.48/1.26 2.48/1.26 Now an instance of the first term with Matcher [X / a] occurs in the last term at position []. 2.48/1.26 2.48/1.26 Context: [] 2.48/1.26 2.48/1.26 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.48/1.26 ---------------------------------------- 2.48/1.26 2.48/1.26 (2) 2.48/1.26 NO 2.64/1.29 EOF