Runtime_Complexity_Full_Rewriting 2019-04-01 06.11 pair #433308008

details

property	value
status	complete
benchmark	PALINDROME_complete-noand_L.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	AProVE
configuration	complexity
runtime (wallclock)	1.64687 seconds
cpu usage	3.39115
user time	3.24841
system time	0.142739
max virtual memory	1.8275288E7
max residence set size	216336.0

stage attributes

key	value
starexec-result	WORST_CASE(NON_POLY, ?)

output

3.28/1.59	WORST_CASE(NON_POLY, ?)
3.28/1.60	proof of /export/starexec/sandbox/benchmark/theBenchmark.xml
3.28/1.60	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
3.28/1.60	
3.28/1.60	
3.28/1.60	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.28/1.60	
3.28/1.60	(0) CpxTRS
3.28/1.60	(1) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 0 ms]
3.28/1.60	(2) TRS for Loop Detection
3.28/1.60	(3) InfiniteLowerBoundProof [FINISHED, 0 ms]
3.28/1.60	(4) BOUNDS(INF, INF)
3.28/1.60	
3.28/1.60	
3.28/1.60	----------------------------------------
3.28/1.60	
3.28/1.60	(0)
3.28/1.60	Obligation:
3.28/1.60	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.28/1.60	
3.28/1.60	
3.28/1.60	The TRS R consists of the following rules:
3.28/1.60	
3.28/1.60	   __(__(X, Y), Z) -> __(X, __(Y, Z))
3.28/1.60	   __(X, nil) -> X
3.28/1.60	   __(nil, X) -> X
3.28/1.60	   U11(tt) -> U12(isPalListKind)
3.28/1.60	   U12(tt) -> U13(isNeList)
3.28/1.60	   U13(tt) -> tt
3.28/1.60	   U21(tt) -> U22(isPalListKind)
3.28/1.60	   U22(tt) -> U23(isPalListKind)
3.28/1.60	   U23(tt) -> U24(isPalListKind)
3.28/1.60	   U24(tt) -> U25(isList)
3.28/1.60	   U25(tt) -> U26(isList)
3.28/1.60	   U26(tt) -> tt
3.28/1.60	   U31(tt) -> U32(isPalListKind)
3.28/1.60	   U32(tt) -> U33(isQid)
3.28/1.60	   U33(tt) -> tt
3.28/1.60	   U41(tt) -> U42(isPalListKind)
3.28/1.60	   U42(tt) -> U43(isPalListKind)
3.28/1.60	   U43(tt) -> U44(isPalListKind)
3.28/1.60	   U44(tt) -> U45(isList)
3.28/1.60	   U45(tt) -> U46(isNeList)
3.28/1.60	   U46(tt) -> tt
3.28/1.60	   U51(tt) -> U52(isPalListKind)
3.28/1.60	   U52(tt) -> U53(isPalListKind)
3.28/1.60	   U53(tt) -> U54(isPalListKind)
3.28/1.60	   U54(tt) -> U55(isNeList)
3.28/1.60	   U55(tt) -> U56(isList)
3.28/1.60	   U56(tt) -> tt
3.28/1.60	   U61(tt) -> U62(isPalListKind)
3.28/1.60	   U62(tt) -> U63(isQid)
3.28/1.60	   U63(tt) -> tt
3.28/1.60	   U71(tt) -> U72(isPalListKind)
3.28/1.60	   U72(tt) -> U73(isPal)
3.28/1.60	   U73(tt) -> U74(isPalListKind)
3.28/1.60	   U74(tt) -> tt
3.28/1.60	   U81(tt) -> U82(isPalListKind)
3.28/1.60	   U82(tt) -> U83(isNePal)
3.28/1.60	   U83(tt) -> tt
3.28/1.60	   U91(tt) -> U92(isPalListKind)
3.28/1.60	   U92(tt) -> tt
3.28/1.60	   isList -> U11(isPalListKind)
3.28/1.60	   isList -> tt
3.28/1.60	   isList -> U21(isPalListKind)
3.28/1.60	   isNeList -> U31(isPalListKind)
3.28/1.60	   isNeList -> U41(isPalListKind)
3.28/1.60	   isNeList -> U51(isPalListKind)
3.28/1.60	   isNePal -> U61(isPalListKind)
3.28/1.60	   isNePal -> U71(isQid)
3.28/1.60	   isPal -> U81(isPalListKind)
3.28/1.60	   isPal -> tt
3.28/1.60	   isPalListKind -> tt
3.28/1.60	   isPalListKind -> U91(isPalListKind)
3.28/1.60	   isQid -> tt
3.28/1.60	
3.28/1.60	S is empty.
3.28/1.60	Rewrite Strategy: FULL
3.28/1.60	----------------------------------------
3.28/1.60	
3.28/1.60	(1) RelTrsToDecreasingLoopProblemProof (LOWER BOUND(ID))
3.28/1.60	Transformed a relative TRS into a decreasing-loop problem.
3.28/1.60	----------------------------------------
3.28/1.60	
3.28/1.60	(2)
3.28/1.60	Obligation:
3.28/1.60	Analyzing the following TRS for decreasing loops:
3.28/1.60	
3.28/1.60	The Runtime Complexity (full) of the given CpxTRS could be proven to be BOUNDS(INF, INF).
3.28/1.60	
3.28/1.60	
3.28/1.60	The TRS R consists of the following rules:
3.28/1.60	
3.28/1.60	   __(__(X, Y), Z) -> __(X, __(Y, Z))
3.28/1.60	   __(X, nil) -> X
3.28/1.60	   __(nil, X) -> X
3.28/1.60	   U11(tt) -> U12(isPalListKind)
3.28/1.60	   U12(tt) -> U13(isNeList)
3.28/1.60	   U13(tt) -> tt
3.28/1.60	   U21(tt) -> U22(isPalListKind)

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job log

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actions all output return to Runtime_Complexity_Full_Rewriting 2019-04-01 06.11