Haskell 2019-04-01 06.52 pair #433316944

details

property	value
status	complete
benchmark	FiniteMap_fmToList_GE_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n052.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.22387 seconds
cpu usage	12.4562
user time	12.1003
system time	0.355893
max virtual memory	1.8285568E7
max residence set size	732260.0

stage attributes

key	value
starexec-result	YES

output

10.22/4.56	YES
12.18/5.16	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
12.18/5.16	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.18/5.16	
12.18/5.16	
12.18/5.16	H-Termination with start terms of the given HASKELL could be proven:
12.18/5.16	
12.18/5.16	(0) HASKELL
12.18/5.16	(1) LR [EQUIVALENT, 0 ms]
12.18/5.16	(2) HASKELL
12.18/5.16	(3) BR [EQUIVALENT, 0 ms]
12.18/5.16	(4) HASKELL
12.18/5.16	(5) COR [EQUIVALENT, 0 ms]
12.18/5.16	(6) HASKELL
12.18/5.16	(7) Narrow [SOUND, 0 ms]
12.18/5.16	(8) AND
12.18/5.16	    (9) QDP
12.18/5.16	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.18/5.16	        (11) YES
12.18/5.16	    (12) QDP
12.18/5.16	        (13) TransformationProof [EQUIVALENT, 0 ms]
12.18/5.16	        (14) QDP
12.18/5.16	        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
12.18/5.16	        (16) YES
12.18/5.16	
12.18/5.16	
12.18/5.16	----------------------------------------
12.18/5.16	
12.18/5.16	(0)
12.18/5.16	Obligation:
12.18/5.16	mainModule Main 
12.18/5.16	module FiniteMap where {
12.18/5.16	import qualified Main;
12.18/5.16	import qualified Maybe;
12.18/5.16	import qualified Prelude;
12.18/5.16	data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b) ;
12.18/5.16	
12.18/5.16	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
12.18/5.16	}
12.18/5.16	fmToList_GE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)];
12.18/5.16	fmToList_GE fm fr = foldFM_GE (\key elt rest ->(key,elt) : rest) [] fr fm;
12.18/5.16	
12.18/5.16	foldFM_GE :: Ord a => (a  ->  b  ->  c  ->  c)  ->  c  ->  a  ->  FiniteMap a b  ->  c;
12.18/5.16	foldFM_GE k z fr EmptyFM = z;
12.18/5.16	foldFM_GE k z fr (Branch key elt _ fm_l fm_r)  | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l
12.18/5.16	 | otherwise = foldFM_GE k z fr fm_r;
12.18/5.16	
12.18/5.16	}
12.18/5.16	module Maybe where {
12.18/5.16	import qualified FiniteMap;
12.18/5.16	import qualified Main;
12.18/5.16	import qualified Prelude;
12.18/5.16	}
12.18/5.16	module Main where {
12.18/5.16	import qualified FiniteMap;
12.18/5.16	import qualified Maybe;
12.18/5.16	import qualified Prelude;
12.18/5.16	}
12.18/5.16	
12.18/5.16	----------------------------------------
12.18/5.16	
12.18/5.16	(1) LR (EQUIVALENT)
12.18/5.16	Lambda Reductions:
12.18/5.16	The following Lambda expression
12.18/5.16	"\keyeltrest->(key,elt) : rest"
12.18/5.16	is transformed to
12.18/5.16	"fmToList_GE0 key elt rest = (key,elt) : rest;
12.18/5.16	"
12.18/5.16	
12.18/5.16	----------------------------------------
12.18/5.16	
12.18/5.16	(2)
12.18/5.16	Obligation:
12.18/5.16	mainModule Main 
12.18/5.16	module FiniteMap where {
12.18/5.16	import qualified Main;
12.18/5.16	import qualified Maybe;
12.18/5.16	import qualified Prelude;
12.18/5.16	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
12.18/5.16	
12.18/5.16	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
12.18/5.16	}
12.18/5.16	fmToList_GE :: Ord a => FiniteMap a b  ->  a  ->  [(a,b)];
12.18/5.16	fmToList_GE fm fr = foldFM_GE fmToList_GE0 [] fr fm;
12.18/5.16	
12.18/5.16	fmToList_GE0 key elt rest = (key,elt) : rest;
12.18/5.16	
12.18/5.16	foldFM_GE :: Ord b => (b  ->  a  ->  c  ->  c)  ->  c  ->  b  ->  FiniteMap b a  ->  c;
12.18/5.16	foldFM_GE k z fr EmptyFM = z;
12.18/5.16	foldFM_GE k z fr (Branch key elt _ fm_l fm_r)  | key >= fr = foldFM_GE k (k key elt (foldFM_GE k z fr fm_r)) fr fm_l
12.18/5.16	 | otherwise = foldFM_GE k z fr fm_r;
12.18/5.16	
12.18/5.16	}
12.18/5.16	module Maybe where {
12.18/5.16	import qualified FiniteMap;
12.18/5.16	import qualified Main;
12.18/5.16	import qualified Prelude;
12.18/5.16	}
12.18/5.16	module Main where {
12.18/5.16	import qualified FiniteMap;

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