Haskell 2019-04-01 06.52 pair #433316296

details

property	value
status	complete
benchmark	List_intersect_9.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	7.20065 seconds
cpu usage	17.1518
user time	16.7092
system time	0.442611
max virtual memory	1.8285568E7
max residence set size	1097312.0

stage attributes

key	value
starexec-result	YES

output

14.48/5.58	YES
16.94/6.28	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
16.94/6.28	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
16.94/6.28	
16.94/6.28	
16.94/6.28	H-Termination with start terms of the given HASKELL could be proven:
16.94/6.28	
16.94/6.28	(0) HASKELL
16.94/6.28	(1) LR [EQUIVALENT, 0 ms]
16.94/6.28	(2) HASKELL
16.94/6.28	(3) CR [EQUIVALENT, 0 ms]
16.94/6.28	(4) HASKELL
16.94/6.28	(5) IFR [EQUIVALENT, 0 ms]
16.94/6.28	(6) HASKELL
16.94/6.28	(7) BR [EQUIVALENT, 0 ms]
16.94/6.28	(8) HASKELL
16.94/6.28	(9) COR [EQUIVALENT, 23 ms]
16.94/6.28	(10) HASKELL
16.94/6.28	(11) Narrow [SOUND, 0 ms]
16.94/6.28	(12) AND
16.94/6.28	    (13) QDP
16.94/6.28	        (14) DependencyGraphProof [EQUIVALENT, 0 ms]
16.94/6.28	        (15) AND
16.94/6.28	            (16) QDP
16.94/6.28	                (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.94/6.28	                (18) YES
16.94/6.28	            (19) QDP
16.94/6.28	                (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.94/6.28	                (21) YES
16.94/6.28	            (22) QDP
16.94/6.28	                (23) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.94/6.28	                (24) YES
16.94/6.28	            (25) QDP
16.94/6.28	                (26) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.94/6.28	                (27) YES
16.94/6.28	    (28) QDP
16.94/6.28	        (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
16.94/6.28	        (30) YES
16.94/6.28	
16.94/6.28	
16.94/6.28	----------------------------------------
16.94/6.28	
16.94/6.28	(0)
16.94/6.28	Obligation:
16.94/6.28	mainModule Main 
16.94/6.28	module Maybe where {
16.94/6.28	import qualified List;
16.94/6.28	import qualified Main;
16.94/6.28	import qualified Prelude;
16.94/6.28	}
16.94/6.28	module List where {
16.94/6.28	import qualified Main;
16.94/6.28	import qualified Maybe;
16.94/6.28	import qualified Prelude;
16.94/6.28	intersect :: Eq a => [a]  ->  [a]  ->  [a];
16.94/6.28	intersect = intersectBy (==);
16.94/6.28	
16.94/6.28	intersectBy :: (a  ->  a  ->  Bool)  ->  [a]  ->  [a]  ->  [a];
16.94/6.28	intersectBy eq xs ys = concatMap (\vv2 ->case vv2 of { 
16.94/6.28	x->  if any (eq x) ys then x : [] else []; 
16.94/6.28	_-> []; 
16.94/6.28	 } ) xs;
16.94/6.28	
16.94/6.28	}
16.94/6.28	module Main where {
16.94/6.28	import qualified List;
16.94/6.28	import qualified Maybe;
16.94/6.28	import qualified Prelude;
16.94/6.28	}
16.94/6.28	
16.94/6.28	----------------------------------------
16.94/6.28	
16.94/6.28	(1) LR (EQUIVALENT)
16.94/6.28	Lambda Reductions:
16.94/6.28	The following Lambda expression
16.94/6.28	"\vv2->case vv2 of {
16.94/6.28	x  -> if any (eq x) ys then x : [] else [];
16.94/6.28	_  -> []}
16.94/6.28	"
16.94/6.28	is transformed to
16.94/6.28	"intersectBy0 eq ys vv2 = case vv2 of {
16.94/6.28	x  -> if any (eq x) ys then x : [] else [];
16.94/6.28	_  -> []}
16.94/6.28	;
16.94/6.28	"
16.94/6.28	
16.94/6.28	----------------------------------------
16.94/6.28	
16.94/6.28	(2)
16.94/6.28	Obligation:
16.94/6.28	mainModule Main 
16.94/6.28	module Maybe where {
16.94/6.28	import qualified List;
16.94/6.28	import qualified Main;
16.94/6.28	import qualified Prelude;
16.94/6.28	}
16.94/6.28	module List where {
16.94/6.28	import qualified Main;
16.94/6.28	import qualified Maybe;
16.94/6.28	import qualified Prelude;

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