Haskell 2019-04-01 06.52 pair #433316611

details

property	value
status	complete
benchmark	Prelude_LT_4.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n092.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	11.9607 seconds
cpu usage	23.2782
user time	22.1141
system time	1.16414
max virtual memory	1.8288384E7
max residence set size	3949904.0

stage attributes

key	value
starexec-result	YES

output

20.37/9.57	YES
22.94/10.34	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
22.94/10.34	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
22.94/10.34	
22.94/10.34	
22.94/10.34	H-Termination with start terms of the given HASKELL could be proven:
22.94/10.34	
22.94/10.34	(0) HASKELL
22.94/10.34	(1) CR [EQUIVALENT, 0 ms]
22.94/10.34	(2) HASKELL
22.94/10.34	(3) IFR [EQUIVALENT, 0 ms]
22.94/10.34	(4) HASKELL
22.94/10.34	(5) BR [EQUIVALENT, 0 ms]
22.94/10.34	(6) HASKELL
22.94/10.34	(7) COR [EQUIVALENT, 0 ms]
22.94/10.34	(8) HASKELL
22.94/10.34	(9) LetRed [EQUIVALENT, 0 ms]
22.94/10.34	(10) HASKELL
22.94/10.34	(11) NumRed [SOUND, 0 ms]
22.94/10.34	(12) HASKELL
22.94/10.34	(13) Narrow [SOUND, 0 ms]
22.94/10.34	(14) AND
22.94/10.34	    (15) QDP
22.94/10.34	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.94/10.34	        (17) YES
22.94/10.34	    (18) QDP
22.94/10.34	        (19) QDPSizeChangeProof [EQUIVALENT, 227 ms]
22.94/10.34	        (20) YES
22.94/10.34	    (21) QDP
22.94/10.34	        (22) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.94/10.34	        (23) YES
22.94/10.34	    (24) QDP
22.94/10.34	        (25) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.94/10.34	        (26) YES
22.94/10.34	    (27) QDP
22.94/10.34	        (28) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.94/10.34	        (29) YES
22.94/10.34	    (30) QDP
22.94/10.34	        (31) QDPSizeChangeProof [EQUIVALENT, 0 ms]
22.94/10.34	        (32) YES
22.94/10.34	
22.94/10.34	
22.94/10.34	----------------------------------------
22.94/10.34	
22.94/10.34	(0)
22.94/10.34	Obligation:
22.94/10.34	mainModule Main 
22.94/10.34	module Main where {
22.94/10.34	import qualified Prelude;
22.94/10.34	}
22.94/10.34	
22.94/10.34	----------------------------------------
22.94/10.34	
22.94/10.34	(1) CR (EQUIVALENT)
22.94/10.34	Case Reductions:
22.94/10.34	The following Case expression
22.94/10.34	"case compare x y of {
22.94/10.34	EQ  -> o;
22.94/10.34	LT  -> LT;
22.94/10.34	GT  -> GT}
22.94/10.34	"
22.94/10.34	is transformed to
22.94/10.34	"primCompAux0 o EQ = o;
22.94/10.34	primCompAux0 o LT = LT;
22.94/10.34	primCompAux0 o GT = GT;
22.94/10.34	"
22.94/10.34	
22.94/10.34	----------------------------------------
22.94/10.34	
22.94/10.34	(2)
22.94/10.34	Obligation:
22.94/10.34	mainModule Main 
22.94/10.34	module Main where {
22.94/10.34	import qualified Prelude;
22.94/10.34	}
22.94/10.34	
22.94/10.34	----------------------------------------
22.94/10.34	
22.94/10.34	(3) IFR (EQUIVALENT)
22.94/10.34	If Reductions:
22.94/10.34	The following If expression
22.94/10.34	"if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
22.94/10.34	is transformed to
22.94/10.34	"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
22.94/10.34	primDivNatS0 x y False = Zero;
22.94/10.34	"
22.94/10.34	The following If expression
22.94/10.34	"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
22.94/10.34	is transformed to
22.94/10.34	"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
22.94/10.34	primModNatS0 x y False = Succ x;
22.94/10.34	"
22.94/10.34	
22.94/10.34	----------------------------------------
22.94/10.34	
22.94/10.34	(4)
22.94/10.34	Obligation:
22.94/10.34	mainModule Main 
22.94/10.34	module Main where {
22.94/10.34	import qualified Prelude;

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