Haskell 2019-04-01 06.52 pair #433316003

details

property	value
status	complete
benchmark	FiniteMap_maxFM_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n124.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.95375 seconds
cpu usage	11.6798
user time	11.3432
system time	0.336578
max virtual memory	1.8285568E7
max residence set size	722152.0

stage attributes

key	value
starexec-result	YES

output

9.55/4.37	YES
11.60/4.90	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
11.60/4.90	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.60/4.90	
11.60/4.90	
11.60/4.90	H-Termination with start terms of the given HASKELL could be proven:
11.60/4.90	
11.60/4.90	(0) HASKELL
11.60/4.90	(1) CR [EQUIVALENT, 0 ms]
11.60/4.90	(2) HASKELL
11.60/4.90	(3) BR [EQUIVALENT, 0 ms]
11.60/4.90	(4) HASKELL
11.60/4.90	(5) COR [EQUIVALENT, 0 ms]
11.60/4.90	(6) HASKELL
11.60/4.90	(7) Narrow [SOUND, 0 ms]
11.60/4.90	(8) QDP
11.60/4.90	(9) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.60/4.90	(10) YES
11.60/4.90	
11.60/4.90	
11.60/4.90	----------------------------------------
11.60/4.90	
11.60/4.90	(0)
11.60/4.90	Obligation:
11.60/4.90	mainModule Main 
11.60/4.90	module FiniteMap where {
11.60/4.90	import qualified Main;
11.60/4.90	import qualified Maybe;
11.60/4.90	import qualified Prelude;
11.60/4.90	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
11.60/4.90	
11.60/4.90	maxFM :: Ord b => FiniteMap b a  ->  Maybe b;
11.60/4.90	maxFM EmptyFM = Nothing;
11.60/4.90	maxFM (Branch key _ _ _ fm_r) = case maxFM fm_r of { 
11.60/4.90	Nothing-> Just key; 
11.60/4.90	Just key1-> Just key1; 
11.60/4.90	 } ;
11.60/4.90	
11.60/4.90	}
11.60/4.90	module Maybe where {
11.60/4.90	import qualified FiniteMap;
11.60/4.90	import qualified Main;
11.60/4.90	import qualified Prelude;
11.60/4.90	}
11.60/4.90	module Main where {
11.60/4.90	import qualified FiniteMap;
11.60/4.90	import qualified Maybe;
11.60/4.90	import qualified Prelude;
11.60/4.90	}
11.60/4.90	
11.60/4.90	----------------------------------------
11.60/4.90	
11.60/4.90	(1) CR (EQUIVALENT)
11.60/4.90	Case Reductions:
11.60/4.90	The following Case expression
11.60/4.90	"case maxFM fm_r of {
11.60/4.90	Nothing  -> Just key;
11.60/4.90	Just key1  -> Just key1}
11.60/4.90	"
11.60/4.90	is transformed to
11.60/4.90	"maxFM0 key Nothing = Just key;
11.60/4.90	maxFM0 key (Just key1) = Just key1;
11.60/4.90	"
11.60/4.90	
11.60/4.90	----------------------------------------
11.60/4.90	
11.60/4.90	(2)
11.60/4.90	Obligation:
11.60/4.90	mainModule Main 
11.60/4.90	module FiniteMap where {
11.60/4.90	import qualified Main;
11.60/4.90	import qualified Maybe;
11.60/4.90	import qualified Prelude;
11.60/4.90	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
11.60/4.90	
11.60/4.90	maxFM :: Ord b => FiniteMap b a  ->  Maybe b;
11.60/4.90	maxFM EmptyFM = Nothing;
11.60/4.90	maxFM (Branch key _ _ _ fm_r) = maxFM0 key (maxFM fm_r);
11.60/4.90	
11.60/4.90	maxFM0 key Nothing = Just key;
11.60/4.90	maxFM0 key (Just key1) = Just key1;
11.60/4.90	
11.60/4.90	}
11.60/4.90	module Maybe where {
11.60/4.90	import qualified FiniteMap;
11.60/4.90	import qualified Main;
11.60/4.90	import qualified Prelude;
11.60/4.90	}
11.60/4.90	module Main where {
11.60/4.90	import qualified FiniteMap;
11.60/4.90	import qualified Maybe;
11.60/4.90	import qualified Prelude;
11.60/4.90	}
11.60/4.90	
11.60/4.90	----------------------------------------
11.60/4.90	
11.60/4.90	(3) BR (EQUIVALENT)
11.60/4.90	Replaced joker patterns by fresh variables and removed binding patterns.
11.60/4.90	----------------------------------------
11.60/4.90

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