Haskell 2019-04-01 06.52 pair #433316259

details

property	value
status	complete
benchmark	FiniteMap_fmToList_LE_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n083.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	8.50259 seconds
cpu usage	23.0851
user time	22.4302
system time	0.654927
max virtual memory	1.828844E7
max residence set size	2021604.0

stage attributes

key	value
starexec-result	YES

output

19.51/7.49	YES
22.78/8.37	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
22.78/8.37	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
22.78/8.37	
22.78/8.37	
22.78/8.37	H-Termination with start terms of the given HASKELL could be proven:
22.78/8.37	
22.78/8.37	(0) HASKELL
22.78/8.37	(1) LR [EQUIVALENT, 0 ms]
22.78/8.37	(2) HASKELL
22.78/8.37	(3) CR [EQUIVALENT, 0 ms]
22.78/8.37	(4) HASKELL
22.78/8.37	(5) IFR [EQUIVALENT, 0 ms]
22.78/8.37	(6) HASKELL
22.78/8.37	(7) BR [EQUIVALENT, 8 ms]
22.78/8.37	(8) HASKELL
22.78/8.37	(9) COR [EQUIVALENT, 0 ms]
22.78/8.37	(10) HASKELL
22.78/8.37	(11) LetRed [EQUIVALENT, 12 ms]
22.78/8.37	(12) HASKELL
22.78/8.37	(13) NumRed [SOUND, 0 ms]
22.78/8.37	(14) HASKELL
22.78/8.37	(15) Narrow [SOUND, 0 ms]
22.78/8.37	(16) AND
22.78/8.37	    (17) QDP
22.78/8.37	        (18) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (19) YES
22.78/8.37	    (20) QDP
22.78/8.37	        (21) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (22) YES
22.78/8.37	    (23) QDP
22.78/8.37	        (24) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (25) YES
22.78/8.37	    (26) QDP
22.78/8.37	        (27) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (28) YES
22.78/8.37	    (29) QDP
22.78/8.37	        (30) QDPSizeChangeProof [EQUIVALENT, 2 ms]
22.78/8.37	        (31) YES
22.78/8.37	    (32) QDP
22.78/8.37	        (33) DependencyGraphProof [EQUIVALENT, 0 ms]
22.78/8.37	        (34) QDP
22.78/8.37	        (35) QDPSizeChangeProof [EQUIVALENT, 152 ms]
22.78/8.37	        (36) YES
22.78/8.37	    (37) QDP
22.78/8.37	        (38) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (39) YES
22.78/8.37	    (40) QDP
22.78/8.37	        (41) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.78/8.37	        (42) YES
22.78/8.37	
22.78/8.37	
22.78/8.37	----------------------------------------
22.78/8.37	
22.78/8.37	(0)
22.78/8.37	Obligation:
22.78/8.37	mainModule Main 
22.78/8.37	module FiniteMap where {
22.78/8.37	import qualified Main;
22.78/8.37	import qualified Maybe;
22.78/8.37	import qualified Prelude;
22.78/8.37	data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a) ;
22.78/8.37	
22.78/8.37	instance (Eq a, Eq b) => Eq FiniteMap b a where { 
22.78/8.37	(==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2;
22.78/8.37	}
22.78/8.37	fmToList :: FiniteMap b a  ->  [(b,a)];
22.78/8.37	fmToList fm = foldFM (\key elt rest ->(key,elt) : rest) [] fm;
22.78/8.37	
22.78/8.37	fmToList_LE :: Ord b => FiniteMap b a  ->  b  ->  [(b,a)];
22.78/8.37	fmToList_LE fm fr = foldFM_LE (\key elt rest ->(key,elt) : rest) [] fr fm;
22.78/8.37	
22.78/8.37	foldFM :: (b  ->  c  ->  a  ->  a)  ->  a  ->  FiniteMap b c  ->  a;
22.78/8.37	foldFM k z EmptyFM = z;
22.78/8.37	foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l;
22.78/8.37	
22.78/8.37	foldFM_LE :: Ord c => (c  ->  a  ->  b  ->  b)  ->  b  ->  c  ->  FiniteMap c a  ->  b;
22.78/8.37	foldFM_LE k z fr EmptyFM = z;
22.78/8.37	foldFM_LE k z fr (Branch key elt _ fm_l fm_r)  | key <= fr = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r
22.78/8.37	 | otherwise = foldFM_LE k z fr fm_l;
22.78/8.37	
22.78/8.37	sizeFM :: FiniteMap a b  ->  Int;
22.78/8.37	sizeFM EmptyFM = 0;
22.78/8.37	sizeFM (Branch _ _ size _ _) = size;
22.78/8.37	
22.78/8.37	}
22.78/8.37	module Maybe where {
22.78/8.37	import qualified FiniteMap;
22.78/8.37	import qualified Main;
22.78/8.37	import qualified Prelude;
22.78/8.37	}
22.78/8.37	module Main where {
22.78/8.37	import qualified FiniteMap;
22.78/8.37	import qualified Maybe;
22.78/8.37	import qualified Prelude;
22.78/8.37	}
22.78/8.37	
22.78/8.37	----------------------------------------
22.78/8.37	
22.78/8.37	(1) LR (EQUIVALENT)

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actions all output return to Haskell 2019-04-01 06.52