Haskell 2019-04-01 06.52 pair #433316495

details

property	value
status	complete
benchmark	List_delete_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n059.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	6.77033 seconds
cpu usage	17.3783
user time	16.9159
system time	0.462463
max virtual memory	1.8285568E7
max residence set size	1064980.0

stage attributes

key	value
starexec-result	YES

output

13.98/5.68	YES
17.23/6.71	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
17.23/6.71	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
17.23/6.71	
17.23/6.71	
17.23/6.71	H-Termination with start terms of the given HASKELL could be proven:
17.23/6.71	
17.23/6.71	(0) HASKELL
17.23/6.71	(1) IFR [EQUIVALENT, 0 ms]
17.23/6.71	(2) HASKELL
17.23/6.71	(3) BR [EQUIVALENT, 0 ms]
17.23/6.71	(4) HASKELL
17.23/6.71	(5) COR [EQUIVALENT, 10 ms]
17.23/6.71	(6) HASKELL
17.23/6.71	(7) Narrow [SOUND, 0 ms]
17.23/6.71	(8) AND
17.23/6.71	    (9) QDP
17.23/6.71	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	        (11) YES
17.23/6.71	    (12) QDP
17.23/6.71	        (13) DependencyGraphProof [EQUIVALENT, 0 ms]
17.23/6.71	        (14) AND
17.23/6.71	            (15) QDP
17.23/6.71	                (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	                (17) YES
17.23/6.71	            (18) QDP
17.23/6.71	                (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	                (20) YES
17.23/6.71	    (21) QDP
17.23/6.71	        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	        (23) YES
17.23/6.71	    (24) QDP
17.23/6.71	        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	        (26) YES
17.23/6.71	    (27) QDP
17.23/6.71	        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
17.23/6.71	        (29) YES
17.23/6.71	
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(0)
17.23/6.71	Obligation:
17.23/6.71	mainModule Main 
17.23/6.71	module Maybe where {
17.23/6.71	import qualified List;
17.23/6.71	import qualified Main;
17.23/6.71	import qualified Prelude;
17.23/6.71	}
17.23/6.71	module List where {
17.23/6.71	import qualified Main;
17.23/6.71	import qualified Maybe;
17.23/6.71	import qualified Prelude;
17.23/6.71	delete :: Eq a => a  ->  [a]  ->  [a];
17.23/6.71	delete = deleteBy (==);
17.23/6.71	
17.23/6.71	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.23/6.71	deleteBy _ _ [] = [];
17.23/6.71	deleteBy eq x (y : ys) =  if x `eq` y then ys else y : deleteBy eq x ys;
17.23/6.71	
17.23/6.71	}
17.23/6.71	module Main where {
17.23/6.71	import qualified List;
17.23/6.71	import qualified Maybe;
17.23/6.71	import qualified Prelude;
17.23/6.71	}
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(1) IFR (EQUIVALENT)
17.23/6.71	If Reductions:
17.23/6.71	The following If expression
17.23/6.71	"if eq x y then ys else y : deleteBy eq x ys"
17.23/6.71	is transformed to
17.23/6.71	"deleteBy0 ys y eq x True = ys;
17.23/6.71	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
17.23/6.71	"
17.23/6.71	
17.23/6.71	----------------------------------------
17.23/6.71	
17.23/6.71	(2)
17.23/6.71	Obligation:
17.23/6.71	mainModule Main 
17.23/6.71	module Maybe where {
17.23/6.71	import qualified List;
17.23/6.71	import qualified Main;
17.23/6.71	import qualified Prelude;
17.23/6.71	}
17.23/6.71	module List where {
17.23/6.71	import qualified Main;
17.23/6.71	import qualified Maybe;
17.23/6.71	import qualified Prelude;
17.23/6.71	delete :: Eq a => a  ->  [a]  ->  [a];
17.23/6.71	delete = deleteBy (==);
17.23/6.71	
17.23/6.71	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
17.23/6.71	deleteBy _ _ [] = [];
17.23/6.71	deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y);
17.23/6.71	
17.23/6.71	deleteBy0 ys y eq x True = ys;

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