2.48/1.24 NO 2.48/1.25 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.48/1.25 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.48/1.25 2.48/1.25 2.48/1.25 Outermost Termination of the given OTRS could be disproven: 2.48/1.25 2.48/1.25 (0) OTRS 2.48/1.25 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.48/1.25 (2) NO 2.48/1.25 2.48/1.25 2.48/1.25 ---------------------------------------- 2.48/1.25 2.48/1.25 (0) 2.48/1.25 Obligation: 2.48/1.25 Term rewrite system R: 2.48/1.25 The TRS R consists of the following rules: 2.48/1.25 2.48/1.25 if(true) -> X 2.48/1.25 if(false) -> Y 2.48/1.25 minus -> 0 2.48/1.25 minus -> minus 2.48/1.25 geq -> true 2.48/1.25 geq -> false 2.48/1.25 geq -> geq 2.48/1.25 div(0) -> 0 2.48/1.25 div(s(X)) -> if(geq) 2.48/1.25 2.48/1.25 2.48/1.25 2.48/1.25 Outermost Strategy. 2.48/1.25 2.48/1.25 ---------------------------------------- 2.48/1.25 2.48/1.25 (1) OutermostNonTerminationProof (COMPLETE) 2.48/1.25 Term rewrite system R: 2.48/1.25 The TRS R consists of the following rules: 2.48/1.25 2.48/1.25 if(true) -> X 2.48/1.25 if(false) -> Y 2.48/1.25 minus -> 0 2.48/1.25 minus -> minus 2.48/1.25 geq -> true 2.48/1.25 geq -> false 2.48/1.25 geq -> geq 2.48/1.25 div(0) -> 0 2.48/1.25 div(s(X)) -> if(geq) 2.48/1.25 2.48/1.25 2.48/1.25 2.48/1.25 Outermost Strategy. 2.48/1.25 2.48/1.25 ---------- Loop: ---------- 2.48/1.25 2.48/1.25 if(true) -> if(true) with rule if(true) -> X at position [] and matcher [X / if(true)] 2.48/1.25 2.48/1.25 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.48/1.25 2.48/1.25 Context: [] 2.48/1.25 2.48/1.25 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.48/1.25 ---------------------------------------- 2.48/1.25 2.48/1.25 (2) 2.48/1.25 NO 2.48/1.27 EOF