2.40/1.21 NO 2.40/1.21 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 2.40/1.21 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.40/1.21 2.40/1.21 2.40/1.21 Outermost Termination of the given OTRS could be disproven: 2.40/1.21 2.40/1.21 (0) OTRS 2.40/1.21 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.40/1.21 (2) NO 2.40/1.21 2.40/1.21 2.40/1.21 ---------------------------------------- 2.40/1.21 2.40/1.21 (0) 2.40/1.21 Obligation: 2.40/1.21 Term rewrite system R: 2.40/1.21 The TRS R consists of the following rules: 2.40/1.21 2.40/1.21 and(tt) -> X 2.40/1.21 __(__(X, Y), Z) -> __(X, __(Y, Z)) 2.40/1.21 __(X, nil) -> X 2.40/1.21 __(nil, X) -> X 2.40/1.21 isList -> isNeList 2.40/1.21 isList -> tt 2.40/1.21 isList -> and(isList) 2.40/1.21 isNeList -> isQid 2.40/1.21 isNeList -> and(isList) 2.40/1.21 isNeList -> and(isNeList) 2.40/1.21 isNePal -> isQid 2.40/1.21 isNePal -> and(isQid) 2.40/1.21 isPal -> isNePal 2.40/1.21 isPal -> tt 2.40/1.21 isQid -> tt 2.40/1.21 2.40/1.21 2.40/1.21 2.40/1.21 Outermost Strategy. 2.40/1.21 2.40/1.21 ---------------------------------------- 2.40/1.21 2.40/1.21 (1) OutermostNonTerminationProof (COMPLETE) 2.40/1.21 Term rewrite system R: 2.40/1.21 The TRS R consists of the following rules: 2.40/1.21 2.40/1.21 and(tt) -> X 2.40/1.21 __(__(X, Y), Z) -> __(X, __(Y, Z)) 2.40/1.21 __(X, nil) -> X 2.40/1.21 __(nil, X) -> X 2.40/1.21 isList -> isNeList 2.40/1.21 isList -> tt 2.40/1.21 isList -> and(isList) 2.40/1.21 isNeList -> isQid 2.40/1.21 isNeList -> and(isList) 2.40/1.21 isNeList -> and(isNeList) 2.40/1.21 isNePal -> isQid 2.40/1.21 isNePal -> and(isQid) 2.40/1.21 isPal -> isNePal 2.40/1.21 isPal -> tt 2.40/1.21 isQid -> tt 2.40/1.21 2.40/1.21 2.40/1.21 2.40/1.21 Outermost Strategy. 2.40/1.21 2.40/1.21 ---------- Loop: ---------- 2.40/1.21 2.40/1.21 and(tt) -> and(tt) with rule and(tt) -> X at position [] and matcher [X / and(tt)] 2.40/1.21 2.40/1.21 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.40/1.21 2.40/1.21 Context: [] 2.40/1.21 2.40/1.21 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.40/1.21 ---------------------------------------- 2.40/1.21 2.40/1.21 (2) 2.40/1.21 NO 2.46/1.24 EOF