Haskell 2019-04-01 06.52 pair #433315892

details

property	value
status	complete
benchmark	Monad_mapAndUnzipM_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n122.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.56177 seconds
cpu usage	11.4942
user time	11.2275
system time	0.266685
max virtual memory	1.828548E7
max residence set size	630612.0

stage attributes

key	value
starexec-result	YES

output

9.05/3.92	YES
11.38/4.52	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
11.38/4.52	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.38/4.52	
11.38/4.52	
11.38/4.52	H-Termination with start terms of the given HASKELL could be proven:
11.38/4.52	
11.38/4.52	(0) HASKELL
11.38/4.52	(1) LR [EQUIVALENT, 0 ms]
11.38/4.52	(2) HASKELL
11.38/4.52	(3) IPR [EQUIVALENT, 0 ms]
11.38/4.52	(4) HASKELL
11.38/4.52	(5) BR [EQUIVALENT, 0 ms]
11.38/4.52	(6) HASKELL
11.38/4.52	(7) COR [EQUIVALENT, 0 ms]
11.38/4.52	(8) HASKELL
11.38/4.52	(9) Narrow [SOUND, 0 ms]
11.38/4.52	(10) AND
11.38/4.52	    (11) QDP
11.38/4.52	        (12) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.38/4.52	        (13) YES
11.38/4.52	    (14) QDP
11.38/4.52	        (15) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.38/4.52	        (16) YES
11.38/4.52	
11.38/4.52	
11.38/4.52	----------------------------------------
11.38/4.52	
11.38/4.52	(0)
11.38/4.52	Obligation:
11.38/4.52	mainModule Main 
11.38/4.52	module Maybe where {
11.38/4.52	import qualified Main;
11.38/4.52	import qualified Monad;
11.38/4.52	import qualified Prelude;
11.38/4.52	}
11.38/4.52	module Main where {
11.38/4.52	import qualified Maybe;
11.38/4.52	import qualified Monad;
11.38/4.52	import qualified Prelude;
11.38/4.52	}
11.38/4.52	module Monad where {
11.38/4.52	import qualified Main;
11.38/4.52	import qualified Maybe;
11.38/4.52	import qualified Prelude;
11.38/4.52	mapAndUnzipM :: Monad c => (b  ->  c (a,d))  ->  [b]  ->  c ([a],[d]);
11.38/4.52	mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;
11.38/4.52	
11.38/4.52	}
11.38/4.52	
11.38/4.52	----------------------------------------
11.38/4.52	
11.38/4.52	(1) LR (EQUIVALENT)
11.38/4.52	Lambda Reductions:
11.38/4.52	The following Lambda expression
11.38/4.52	"\(a,b)~(as,bs)->(a : as,b : bs)"
11.38/4.52	is transformed to
11.38/4.52	"unzip0 (a,b) ~(as,bs) = (a : as,b : bs);
11.38/4.52	"
11.38/4.52	The following Lambda expression
11.38/4.52	"\xs->return (x : xs)"
11.38/4.52	is transformed to
11.38/4.52	"sequence0 x xs = return (x : xs);
11.38/4.52	"
11.38/4.52	The following Lambda expression
11.38/4.52	"\x->sequence cs >>= sequence0 x"
11.38/4.52	is transformed to
11.38/4.52	"sequence1 cs x = sequence cs >>= sequence0 x;
11.38/4.52	"
11.38/4.52	
11.38/4.52	----------------------------------------
11.38/4.52	
11.38/4.52	(2)
11.38/4.52	Obligation:
11.38/4.52	mainModule Main 
11.38/4.52	module Maybe where {
11.38/4.52	import qualified Main;
11.38/4.52	import qualified Monad;
11.38/4.52	import qualified Prelude;
11.38/4.52	}
11.38/4.52	module Main where {
11.38/4.52	import qualified Maybe;
11.38/4.52	import qualified Monad;
11.38/4.52	import qualified Prelude;
11.38/4.52	}
11.38/4.52	module Monad where {
11.38/4.52	import qualified Main;
11.38/4.52	import qualified Maybe;
11.38/4.52	import qualified Prelude;
11.38/4.52	mapAndUnzipM :: Monad b => (a  ->  b (d,c))  ->  [a]  ->  b ([d],[c]);
11.38/4.52	mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;
11.38/4.52	
11.38/4.52	}
11.38/4.52	
11.38/4.52	----------------------------------------
11.38/4.52	
11.38/4.52	(3) IPR (EQUIVALENT)
11.38/4.52	IrrPat Reductions:
11.38/4.52	The variables of the following irrefutable Pattern
11.38/4.52	"~(as,bs)"

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