2.35/1.29 NO 2.35/1.30 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.35/1.30 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.35/1.30 2.35/1.30 2.35/1.30 Outermost Termination of the given OTRS could be disproven: 2.35/1.30 2.35/1.30 (0) OTRS 2.35/1.30 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.35/1.30 (2) NO 2.35/1.30 2.35/1.30 2.35/1.30 ---------------------------------------- 2.35/1.30 2.35/1.30 (0) 2.35/1.30 Obligation: 2.35/1.30 Term rewrite system R: 2.35/1.30 The TRS R consists of the following rules: 2.35/1.30 2.35/1.30 and(tt) -> X 2.35/1.30 length(cons(N)) -> s(length(L)) 2.35/1.30 zeros -> cons(0) 2.35/1.30 length(nil) -> 0 2.35/1.30 2.35/1.30 2.35/1.30 2.35/1.30 Outermost Strategy. 2.35/1.30 2.35/1.30 ---------------------------------------- 2.35/1.30 2.35/1.30 (1) OutermostNonTerminationProof (COMPLETE) 2.35/1.30 Term rewrite system R: 2.35/1.30 The TRS R consists of the following rules: 2.35/1.30 2.35/1.30 and(tt) -> X 2.35/1.30 length(cons(N)) -> s(length(L)) 2.35/1.30 zeros -> cons(0) 2.35/1.30 length(nil) -> 0 2.35/1.30 2.35/1.30 2.35/1.30 2.35/1.30 Outermost Strategy. 2.35/1.30 2.35/1.30 ---------- Loop: ---------- 2.35/1.30 2.35/1.30 and(tt) -> and(tt) with rule and(tt) -> X at position [] and matcher [X / and(tt)] 2.35/1.30 2.35/1.30 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.35/1.30 2.35/1.30 Context: [] 2.35/1.30 2.35/1.30 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.35/1.30 ---------------------------------------- 2.35/1.30 2.35/1.30 (2) 2.35/1.30 NO 2.54/1.32 EOF