Haskell 2019-04-01 06.52 pair #433316062

details

property	value
status	complete
benchmark	List_elemIndex_10.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.7196 seconds
cpu usage	18.0416
user time	17.5507
system time	0.490913
max virtual memory	1.8285568E7
max residence set size	1183056.0

stage attributes

key	value
starexec-result	YES

output

14.45/5.71	YES
17.23/6.48	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
17.23/6.48	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.23/6.48	
17.23/6.48	
17.23/6.48	H-Termination with start terms of the given HASKELL could be proven:
17.23/6.48	
17.23/6.48	(0) HASKELL
17.23/6.48	(1) LR [EQUIVALENT, 0 ms]
17.23/6.48	(2) HASKELL
17.23/6.48	(3) CR [EQUIVALENT, 0 ms]
17.23/6.48	(4) HASKELL
17.23/6.48	(5) IFR [EQUIVALENT, 0 ms]
17.23/6.48	(6) HASKELL
17.23/6.48	(7) BR [EQUIVALENT, 0 ms]
17.23/6.48	(8) HASKELL
17.23/6.48	(9) COR [EQUIVALENT, 10 ms]
17.23/6.48	(10) HASKELL
17.23/6.48	(11) NumRed [SOUND, 0 ms]
17.23/6.48	(12) HASKELL
17.23/6.48	(13) Narrow [SOUND, 0 ms]
17.23/6.48	(14) AND
17.23/6.48	    (15) QDP
17.23/6.48	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (17) YES
17.23/6.48	    (18) QDP
17.23/6.48	        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (20) YES
17.23/6.48	    (21) QDP
17.23/6.48	        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (23) YES
17.23/6.48	    (24) QDP
17.23/6.48	        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (26) YES
17.23/6.48	    (27) QDP
17.23/6.48	        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (29) YES
17.23/6.48	    (30) QDP
17.23/6.48	        (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.48	        (32) YES
17.23/6.48	
17.23/6.48	
17.23/6.48	----------------------------------------
17.23/6.48	
17.23/6.48	(0)
17.23/6.48	Obligation:
17.23/6.48	mainModule Main 
17.23/6.48	module Maybe where {
17.23/6.48	import qualified List;
17.23/6.48	import qualified Main;
17.23/6.48	import qualified Prelude;
17.23/6.48	listToMaybe :: [a]  ->  Maybe a;
17.23/6.48	listToMaybe [] = Nothing;
17.23/6.48	listToMaybe (a : _) = Just a;
17.23/6.48	
17.23/6.48	}
17.23/6.48	module List where {
17.23/6.48	import qualified Main;
17.23/6.48	import qualified Maybe;
17.23/6.48	import qualified Prelude;
17.23/6.48	elemIndex :: Eq a => a  ->  [a]  ->  Maybe Int;
17.23/6.48	elemIndex x = findIndex (== x);
17.23/6.48	
17.23/6.48	findIndex :: (a  ->  Bool)  ->  [a]  ->  Maybe Int;
17.23/6.48	findIndex p = Maybe.listToMaybe . findIndices p;
17.23/6.48	
17.23/6.48	findIndices :: (a  ->  Bool)  ->  [a]  ->  [Int];
17.23/6.48	findIndices p xs = concatMap (\vv1 ->case vv1 of { 
17.23/6.48	(x,i)->  if p x then i : [] else []; 
17.23/6.48	_-> []; 
17.23/6.48	 } ) (zip xs (enumFrom 0));
17.23/6.48	
17.23/6.48	}
17.23/6.48	module Main where {
17.23/6.48	import qualified List;
17.23/6.48	import qualified Maybe;
17.23/6.48	import qualified Prelude;
17.23/6.48	}
17.23/6.48	
17.23/6.48	----------------------------------------
17.23/6.48	
17.23/6.48	(1) LR (EQUIVALENT)
17.23/6.48	Lambda Reductions:
17.23/6.48	The following Lambda expression
17.23/6.48	"\ab->(a,b)"
17.23/6.48	is transformed to
17.23/6.48	"zip0 a b = (a,b);
17.23/6.48	"
17.23/6.48	The following Lambda expression
17.23/6.48	"\vv1->case vv1 of {
17.23/6.48	(x,i)  -> if p x then i : [] else [];
17.23/6.48	_  -> []}
17.23/6.48	"
17.23/6.48	is transformed to
17.23/6.48	"findIndices0 p vv1 = case vv1 of {
17.23/6.48	(x,i)  -> if p x then i : [] else [];
17.23/6.48	_  -> []}
17.23/6.48	;
17.23/6.48	"
17.23/6.48

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