2.41/1.27 NO 2.41/1.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.41/1.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.41/1.27 2.41/1.27 2.41/1.27 Outermost Termination of the given OTRS could be disproven: 2.41/1.27 2.41/1.27 (0) OTRS 2.41/1.27 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.41/1.27 (2) NO 2.41/1.27 2.41/1.27 2.41/1.27 ---------------------------------------- 2.41/1.27 2.41/1.27 (0) 2.41/1.27 Obligation: 2.41/1.27 Term rewrite system R: 2.41/1.27 The TRS R consists of the following rules: 2.41/1.27 2.41/1.27 and(tt) -> X 2.41/1.27 plus(N, 0) -> N 2.41/1.27 plus(N, s(M)) -> s(plus(N, M)) 2.41/1.27 2.41/1.27 2.41/1.27 2.41/1.27 Outermost Strategy. 2.41/1.27 2.41/1.27 ---------------------------------------- 2.41/1.27 2.41/1.27 (1) OutermostNonTerminationProof (COMPLETE) 2.41/1.27 Term rewrite system R: 2.41/1.27 The TRS R consists of the following rules: 2.41/1.27 2.41/1.27 and(tt) -> X 2.41/1.27 plus(N, 0) -> N 2.41/1.27 plus(N, s(M)) -> s(plus(N, M)) 2.41/1.27 2.41/1.27 2.41/1.27 2.41/1.27 Outermost Strategy. 2.41/1.27 2.41/1.27 ---------- Loop: ---------- 2.41/1.27 2.41/1.27 and(tt) -> and(tt) with rule and(tt) -> X at position [] and matcher [X / and(tt)] 2.41/1.27 2.41/1.27 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.41/1.27 2.41/1.27 Context: [] 2.41/1.27 2.41/1.27 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.41/1.27 ---------------------------------------- 2.41/1.27 2.41/1.27 (2) 2.41/1.27 NO 2.54/1.65 EOF