2.80/1.49	NO
3.19/1.50	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.19/1.50	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.19/1.50	
3.19/1.50	
3.19/1.50	Outermost Termination of the given OTRS could be disproven:
3.19/1.50	
3.19/1.50	(0) OTRS
3.19/1.50	(1) OutermostNonTerminationProof [COMPLETE, 46 ms]
3.19/1.50	(2) NO
3.19/1.50	
3.19/1.50	
3.19/1.50	----------------------------------------
3.19/1.50	
3.19/1.50	(0)
3.19/1.50	Obligation:
3.19/1.50	Term rewrite system R:
3.19/1.50	The TRS R consists of the following rules:
3.19/1.50	
3.19/1.50	   __(__(X, Y), Z) -> __(X, __(Y, Z))
3.19/1.50	   __(X, nil) -> X
3.19/1.50	   __(nil, X) -> X
3.19/1.50	   U11(tt) -> U12(isPalListKind)
3.19/1.50	   U12(tt) -> U13(isNeList)
3.19/1.50	   U13(tt) -> tt
3.19/1.50	   U21(tt) -> U22(isPalListKind)
3.19/1.50	   U22(tt) -> U23(isPalListKind)
3.19/1.50	   U23(tt) -> U24(isPalListKind)
3.19/1.50	   U24(tt) -> U25(isList)
3.19/1.50	   U25(tt) -> U26(isList)
3.19/1.50	   U26(tt) -> tt
3.19/1.50	   U31(tt) -> U32(isPalListKind)
3.19/1.50	   U32(tt) -> U33(isQid)
3.19/1.50	   U33(tt) -> tt
3.19/1.50	   U41(tt) -> U42(isPalListKind)
3.19/1.50	   U42(tt) -> U43(isPalListKind)
3.19/1.50	   U43(tt) -> U44(isPalListKind)
3.19/1.50	   U44(tt) -> U45(isList)
3.19/1.50	   U45(tt) -> U46(isNeList)
3.19/1.50	   U46(tt) -> tt
3.19/1.50	   U51(tt) -> U52(isPalListKind)
3.19/1.50	   U52(tt) -> U53(isPalListKind)
3.19/1.50	   U53(tt) -> U54(isPalListKind)
3.19/1.50	   U54(tt) -> U55(isNeList)
3.19/1.50	   U55(tt) -> U56(isList)
3.19/1.50	   U56(tt) -> tt
3.19/1.50	   U61(tt) -> U62(isPalListKind)
3.19/1.50	   U62(tt) -> U63(isQid)
3.19/1.50	   U63(tt) -> tt
3.19/1.50	   U71(tt) -> U72(isPalListKind)
3.19/1.50	   U72(tt) -> U73(isPal)
3.19/1.50	   U73(tt) -> U74(isPalListKind)
3.19/1.50	   U74(tt) -> tt
3.19/1.50	   U81(tt) -> U82(isPalListKind)
3.19/1.50	   U82(tt) -> U83(isNePal)
3.19/1.50	   U83(tt) -> tt
3.19/1.50	   U91(tt) -> U92(isPalListKind)
3.19/1.50	   U92(tt) -> tt
3.19/1.50	   isList -> U11(isPalListKind)
3.19/1.50	   isList -> tt
3.19/1.50	   isList -> U21(isPalListKind)
3.19/1.50	   isNeList -> U31(isPalListKind)
3.19/1.50	   isNeList -> U41(isPalListKind)
3.19/1.50	   isNeList -> U51(isPalListKind)
3.19/1.50	   isNePal -> U61(isPalListKind)
3.19/1.50	   isNePal -> U71(isQid)
3.19/1.50	   isPal -> U81(isPalListKind)
3.19/1.50	   isPal -> tt
3.19/1.50	   isPalListKind -> tt
3.19/1.50	   isPalListKind -> U91(isPalListKind)
3.19/1.50	   isQid -> tt
3.19/1.50	
3.19/1.50	
3.19/1.50	
3.19/1.50	Outermost Strategy.
3.19/1.50	
3.19/1.50	----------------------------------------
3.19/1.50	
3.19/1.50	(1) OutermostNonTerminationProof (COMPLETE)
3.19/1.50	Term rewrite system R:
3.19/1.50	The TRS R consists of the following rules:
3.19/1.50	
3.19/1.50	   __(__(X, Y), Z) -> __(X, __(Y, Z))
3.19/1.50	   __(X, nil) -> X
3.19/1.50	   __(nil, X) -> X
3.19/1.50	   U11(tt) -> U12(isPalListKind)
3.19/1.50	   U12(tt) -> U13(isNeList)
3.19/1.50	   U13(tt) -> tt
3.19/1.50	   U21(tt) -> U22(isPalListKind)
3.19/1.50	   U22(tt) -> U23(isPalListKind)
3.19/1.50	   U23(tt) -> U24(isPalListKind)
3.19/1.50	   U24(tt) -> U25(isList)
3.19/1.50	   U25(tt) -> U26(isList)
3.19/1.50	   U26(tt) -> tt
3.19/1.50	   U31(tt) -> U32(isPalListKind)
3.19/1.50	   U32(tt) -> U33(isQid)
3.19/1.50	   U33(tt) -> tt
3.19/1.50	   U41(tt) -> U42(isPalListKind)
3.19/1.50	   U42(tt) -> U43(isPalListKind)
3.19/1.50	   U43(tt) -> U44(isPalListKind)
3.19/1.50	   U44(tt) -> U45(isList)
3.19/1.50	   U45(tt) -> U46(isNeList)
3.19/1.50	   U46(tt) -> tt
3.19/1.50	   U51(tt) -> U52(isPalListKind)
3.19/1.50	   U52(tt) -> U53(isPalListKind)
3.19/1.50	   U53(tt) -> U54(isPalListKind)
3.19/1.50	   U54(tt) -> U55(isNeList)
3.19/1.50	   U55(tt) -> U56(isList)
3.19/1.50	   U56(tt) -> tt
3.19/1.50	   U61(tt) -> U62(isPalListKind)
3.19/1.50	   U62(tt) -> U63(isQid)
3.19/1.50	   U63(tt) -> tt
3.19/1.50	   U71(tt) -> U72(isPalListKind)
3.19/1.50	   U72(tt) -> U73(isPal)
3.19/1.50	   U73(tt) -> U74(isPalListKind)
3.19/1.50	   U74(tt) -> tt
3.19/1.50	   U81(tt) -> U82(isPalListKind)
3.19/1.50	   U82(tt) -> U83(isNePal)
3.19/1.50	   U83(tt) -> tt
3.19/1.50	   U91(tt) -> U92(isPalListKind)
3.19/1.50	   U92(tt) -> tt
3.19/1.50	   isList -> U11(isPalListKind)
3.19/1.50	   isList -> tt
3.19/1.50	   isList -> U21(isPalListKind)
3.19/1.50	   isNeList -> U31(isPalListKind)
3.19/1.50	   isNeList -> U41(isPalListKind)
3.19/1.50	   isNeList -> U51(isPalListKind)
3.19/1.50	   isNePal -> U61(isPalListKind)
3.19/1.50	   isNePal -> U71(isQid)
3.19/1.50	   isPal -> U81(isPalListKind)
3.19/1.50	   isPal -> tt
3.19/1.50	   isPalListKind -> tt
3.19/1.50	   isPalListKind -> U91(isPalListKind)
3.19/1.50	   isQid -> tt
3.19/1.50	
3.19/1.50	
3.19/1.50	
3.19/1.50	Outermost Strategy.
3.19/1.50	
3.19/1.50	---------- Loop: ----------
3.19/1.50	
3.19/1.50	isPalListKind -> U91(isPalListKind) with rule isPalListKind -> U91(isPalListKind) at position [] and matcher [ ]
3.19/1.50	
3.19/1.50	Now an instance of the first term with Matcher [ ] occurs in the last term at position [0].
3.19/1.50	
3.19/1.50	Context: U91([])
3.19/1.50	
3.19/1.50	We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop.
3.19/1.50	----------------------------------------
3.19/1.50	
3.19/1.50	(2)
3.19/1.50	NO
3.26/1.54	EOF