Haskell 2019-04-01 06.52 pair #433317082

details

property	value
status	complete
benchmark	Monad_replicateM_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n160.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.83264 seconds
cpu usage	12.1889
user time	11.8384
system time	0.350474
max virtual memory	1.8285568E7
max residence set size	661996.0

stage attributes

key	value
starexec-result	YES

output

9.60/4.09	YES
11.87/4.74	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
11.87/4.74	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.87/4.74	
11.87/4.74	
11.87/4.74	H-Termination with start terms of the given HASKELL could be proven:
11.87/4.74	
11.87/4.74	(0) HASKELL
11.87/4.74	(1) LR [EQUIVALENT, 0 ms]
11.87/4.74	(2) HASKELL
11.87/4.74	(3) BR [EQUIVALENT, 0 ms]
11.87/4.74	(4) HASKELL
11.87/4.74	(5) COR [EQUIVALENT, 0 ms]
11.87/4.74	(6) HASKELL
11.87/4.74	(7) LetRed [EQUIVALENT, 0 ms]
11.87/4.74	(8) HASKELL
11.87/4.74	(9) NumRed [SOUND, 0 ms]
11.87/4.74	(10) HASKELL
11.87/4.74	(11) Narrow [SOUND, 0 ms]
11.87/4.74	(12) AND
11.87/4.74	    (13) QDP
11.87/4.74	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.87/4.74	        (15) YES
11.87/4.74	    (16) QDP
11.87/4.74	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.87/4.74	        (18) YES
11.87/4.74	    (19) QDP
11.87/4.74	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.87/4.74	        (21) YES
11.87/4.74	
11.87/4.74	
11.87/4.74	----------------------------------------
11.87/4.74	
11.87/4.74	(0)
11.87/4.74	Obligation:
11.87/4.74	mainModule Main 
11.87/4.74	module Maybe where {
11.87/4.74	import qualified Main;
11.87/4.74	import qualified Monad;
11.87/4.74	import qualified Prelude;
11.87/4.74	}
11.87/4.74	module Main where {
11.87/4.74	import qualified Maybe;
11.87/4.74	import qualified Monad;
11.87/4.74	import qualified Prelude;
11.87/4.74	}
11.87/4.74	module Monad where {
11.87/4.74	import qualified Main;
11.87/4.74	import qualified Maybe;
11.87/4.74	import qualified Prelude;
11.87/4.74	replicateM :: Monad a => Int  ->  a b  ->  a [b];
11.87/4.74	replicateM n x = sequence (replicate n x);
11.87/4.74	
11.87/4.74	}
11.87/4.74	
11.87/4.74	----------------------------------------
11.87/4.74	
11.87/4.74	(1) LR (EQUIVALENT)
11.87/4.74	Lambda Reductions:
11.87/4.74	The following Lambda expression
11.87/4.74	"\xs->return (x : xs)"
11.87/4.74	is transformed to
11.87/4.74	"sequence0 x xs = return (x : xs);
11.87/4.74	"
11.87/4.74	The following Lambda expression
11.87/4.74	"\x->sequence cs >>= sequence0 x"
11.87/4.74	is transformed to
11.87/4.74	"sequence1 cs x = sequence cs >>= sequence0 x;
11.87/4.74	"
11.87/4.74	
11.87/4.74	----------------------------------------
11.87/4.74	
11.87/4.74	(2)
11.87/4.74	Obligation:
11.87/4.74	mainModule Main 
11.87/4.74	module Maybe where {
11.87/4.74	import qualified Main;
11.87/4.74	import qualified Monad;
11.87/4.74	import qualified Prelude;
11.87/4.74	}
11.87/4.74	module Main where {
11.87/4.74	import qualified Maybe;
11.87/4.74	import qualified Monad;
11.87/4.74	import qualified Prelude;
11.87/4.74	}
11.87/4.74	module Monad where {
11.87/4.74	import qualified Main;
11.87/4.74	import qualified Maybe;
11.87/4.74	import qualified Prelude;
11.87/4.74	replicateM :: Monad a => Int  ->  a b  ->  a [b];
11.87/4.74	replicateM n x = sequence (replicate n x);
11.87/4.74	
11.87/4.74	}
11.87/4.74	
11.87/4.74	----------------------------------------
11.87/4.74	
11.87/4.74	(3) BR (EQUIVALENT)
11.87/4.74	Replaced joker patterns by fresh variables and removed binding patterns.
11.87/4.74	----------------------------------------
11.87/4.74

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