Haskell 2019-04-01 06.52 pair #433316603

details

property	value
status	complete
benchmark	Prelude_properFraction_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n008.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.43004 seconds
cpu usage	11.2345
user time	10.9275
system time	0.307013
max virtual memory	1.8285568E7
max residence set size	611932.0

stage attributes

key	value
starexec-result	YES

output

9.05/3.80	YES
11.00/4.39	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
11.00/4.39	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.00/4.39	
11.00/4.39	
11.00/4.39	H-Termination with start terms of the given HASKELL could be proven:
11.00/4.39	
11.00/4.39	(0) HASKELL
11.00/4.39	(1) IFR [EQUIVALENT, 0 ms]
11.00/4.39	(2) HASKELL
11.00/4.39	(3) BR [EQUIVALENT, 0 ms]
11.00/4.39	(4) HASKELL
11.00/4.39	(5) COR [EQUIVALENT, 0 ms]
11.00/4.39	(6) HASKELL
11.00/4.39	(7) NumRed [SOUND, 0 ms]
11.00/4.39	(8) HASKELL
11.00/4.39	(9) Narrow [SOUND, 0 ms]
11.00/4.39	(10) AND
11.00/4.39	    (11) QDP
11.00/4.39	        (12) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.00/4.39	        (13) YES
11.00/4.39	    (14) QDP
11.00/4.39	        (15) DependencyGraphProof [EQUIVALENT, 0 ms]
11.00/4.39	        (16) AND
11.00/4.39	            (17) QDP
11.00/4.39	                (18) MRRProof [EQUIVALENT, 7 ms]
11.00/4.39	                (19) QDP
11.00/4.39	                (20) PisEmptyProof [EQUIVALENT, 0 ms]
11.00/4.39	                (21) YES
11.00/4.39	            (22) QDP
11.00/4.39	                (23) QDPSizeChangeProof [EQUIVALENT, 11 ms]
11.00/4.39	                (24) YES
11.00/4.39	    (25) QDP
11.00/4.39	        (26) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.00/4.39	        (27) YES
11.00/4.39	    (28) QDP
11.00/4.39	        (29) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.00/4.39	        (30) YES
11.00/4.39	    (31) QDP
11.00/4.39	        (32) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.00/4.39	        (33) YES
11.00/4.39	
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(0)
11.00/4.39	Obligation:
11.00/4.39	mainModule Main 
11.00/4.39	module Main where {
11.00/4.39	import qualified Prelude;
11.00/4.39	}
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(1) IFR (EQUIVALENT)
11.00/4.39	If Reductions:
11.00/4.39	The following If expression
11.00/4.39	"if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
11.00/4.39	is transformed to
11.00/4.39	"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
11.00/4.39	primDivNatS0 x y False = Zero;
11.00/4.39	"
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(2)
11.00/4.39	Obligation:
11.00/4.39	mainModule Main 
11.00/4.39	module Main where {
11.00/4.39	import qualified Prelude;
11.00/4.39	}
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(3) BR (EQUIVALENT)
11.00/4.39	Replaced joker patterns by fresh variables and removed binding patterns.
11.00/4.39	
11.00/4.39	Binding Reductions:
11.00/4.39	The bind variable of the following binding Pattern
11.00/4.39	"frac@(Float vy vz)"
11.00/4.39	is replaced by the following term
11.00/4.39	"Float vy vz"
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(4)
11.00/4.39	Obligation:
11.00/4.39	mainModule Main 
11.00/4.39	module Main where {
11.00/4.39	import qualified Prelude;
11.00/4.39	}
11.00/4.39	
11.00/4.39	----------------------------------------
11.00/4.39	
11.00/4.39	(5) COR (EQUIVALENT)
11.00/4.39	Cond Reductions:
11.00/4.39	The following Function with conditions
11.00/4.39	"undefined |Falseundefined;
11.00/4.39	"
11.00/4.39	is transformed to

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