Haskell 2019-04-01 06.52 pair #433316695

details

property	value
status	complete
benchmark	List_delete_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n005.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.98902 seconds
cpu usage	12.6041
user time	12.2469
system time	0.357178
max virtual memory	1.828352E7
max residence set size	691224.0

stage attributes

key	value
starexec-result	YES

output

10.17/4.34	YES
12.42/4.90	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
12.42/4.90	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
12.42/4.90	
12.42/4.90	
12.42/4.90	H-Termination with start terms of the given HASKELL could be proven:
12.42/4.90	
12.42/4.90	(0) HASKELL
12.42/4.90	(1) IFR [EQUIVALENT, 0 ms]
12.42/4.90	(2) HASKELL
12.42/4.90	(3) BR [EQUIVALENT, 0 ms]
12.42/4.90	(4) HASKELL
12.42/4.90	(5) COR [EQUIVALENT, 26 ms]
12.42/4.90	(6) HASKELL
12.42/4.90	(7) Narrow [EQUIVALENT, 0 ms]
12.42/4.90	(8) YES
12.42/4.90	
12.42/4.90	
12.42/4.90	----------------------------------------
12.42/4.90	
12.42/4.90	(0)
12.42/4.90	Obligation:
12.42/4.90	mainModule Main 
12.42/4.90	module Maybe where {
12.42/4.90	import qualified List;
12.42/4.90	import qualified Main;
12.42/4.90	import qualified Prelude;
12.42/4.90	}
12.42/4.90	module List where {
12.42/4.90	import qualified Main;
12.42/4.90	import qualified Maybe;
12.42/4.90	import qualified Prelude;
12.42/4.90	delete :: Eq a => a  ->  [a]  ->  [a];
12.42/4.90	delete = deleteBy (==);
12.42/4.90	
12.42/4.90	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
12.42/4.90	deleteBy _ _ [] = [];
12.42/4.90	deleteBy eq x (y : ys) =  if x `eq` y then ys else y : deleteBy eq x ys;
12.42/4.90	
12.42/4.90	}
12.42/4.90	module Main where {
12.42/4.90	import qualified List;
12.42/4.90	import qualified Maybe;
12.42/4.90	import qualified Prelude;
12.42/4.90	}
12.42/4.90	
12.42/4.90	----------------------------------------
12.42/4.90	
12.42/4.90	(1) IFR (EQUIVALENT)
12.42/4.90	If Reductions:
12.42/4.90	The following If expression
12.42/4.90	"if eq x y then ys else y : deleteBy eq x ys"
12.42/4.90	is transformed to
12.42/4.90	"deleteBy0 ys y eq x True = ys;
12.42/4.90	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
12.42/4.90	"
12.42/4.90	
12.42/4.90	----------------------------------------
12.42/4.90	
12.42/4.90	(2)
12.42/4.90	Obligation:
12.42/4.90	mainModule Main 
12.42/4.90	module Maybe where {
12.42/4.90	import qualified List;
12.42/4.90	import qualified Main;
12.42/4.90	import qualified Prelude;
12.42/4.90	}
12.42/4.90	module List where {
12.42/4.90	import qualified Main;
12.42/4.90	import qualified Maybe;
12.42/4.90	import qualified Prelude;
12.42/4.90	delete :: Eq a => a  ->  [a]  ->  [a];
12.42/4.90	delete = deleteBy (==);
12.42/4.90	
12.42/4.90	deleteBy :: (a  ->  a  ->  Bool)  ->  a  ->  [a]  ->  [a];
12.42/4.90	deleteBy _ _ [] = [];
12.42/4.90	deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y);
12.42/4.90	
12.42/4.90	deleteBy0 ys y eq x True = ys;
12.42/4.90	deleteBy0 ys y eq x False = y : deleteBy eq x ys;
12.42/4.90	
12.42/4.90	}
12.42/4.90	module Main where {
12.42/4.90	import qualified List;
12.42/4.90	import qualified Maybe;
12.42/4.90	import qualified Prelude;
12.42/4.90	}
12.42/4.90	
12.42/4.90	----------------------------------------
12.42/4.90	
12.42/4.90	(3) BR (EQUIVALENT)
12.42/4.90	Replaced joker patterns by fresh variables and removed binding patterns.
12.42/4.90	----------------------------------------
12.42/4.90	
12.42/4.90	(4)
12.42/4.90	Obligation:
12.42/4.90	mainModule Main 
12.42/4.90	module Maybe where {
12.42/4.90	import qualified List;
12.42/4.90	import qualified Main;

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