Haskell 2019-04-01 06.52 pair #433316072

details

property	value
status	complete
benchmark	Prelude_subtract_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n140.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.0806 seconds
cpu usage	9.70251
user time	9.40659
system time	0.295919
max virtual memory	1.828352E7
max residence set size	609112.0

stage attributes

key	value
starexec-result	YES

output

7.91/3.55	YES
9.47/4.02	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.47/4.02	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.47/4.02	
9.47/4.02	
9.47/4.02	H-Termination with start terms of the given HASKELL could be proven:
9.47/4.02	
9.47/4.02	(0) HASKELL
9.47/4.02	(1) BR [EQUIVALENT, 0 ms]
9.47/4.02	(2) HASKELL
9.47/4.02	(3) COR [EQUIVALENT, 0 ms]
9.47/4.02	(4) HASKELL
9.47/4.02	(5) Narrow [SOUND, 0 ms]
9.47/4.02	(6) AND
9.47/4.02	    (7) QDP
9.47/4.02	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.47/4.02	        (9) YES
9.47/4.02	    (10) QDP
9.47/4.02	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.47/4.02	        (12) YES
9.47/4.02	
9.47/4.02	
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(0)
9.47/4.02	Obligation:
9.47/4.02	mainModule Main 
9.47/4.02	module Main where {
9.47/4.02	import qualified Prelude;
9.47/4.02	}
9.47/4.02	
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(1) BR (EQUIVALENT)
9.47/4.02	Replaced joker patterns by fresh variables and removed binding patterns.
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(2)
9.47/4.02	Obligation:
9.47/4.02	mainModule Main 
9.47/4.02	module Main where {
9.47/4.02	import qualified Prelude;
9.47/4.02	}
9.47/4.02	
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(3) COR (EQUIVALENT)
9.47/4.02	Cond Reductions:
9.47/4.02	The following Function with conditions
9.47/4.02	"undefined |Falseundefined;
9.47/4.02	"
9.47/4.02	is transformed to
9.47/4.02	"undefined  = undefined1;
9.47/4.02	"
9.47/4.02	"undefined0 True = undefined;
9.47/4.02	"
9.47/4.02	"undefined1  = undefined0 False;
9.47/4.02	"
9.47/4.02	
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(4)
9.47/4.02	Obligation:
9.47/4.02	mainModule Main 
9.47/4.02	module Main where {
9.47/4.02	import qualified Prelude;
9.47/4.02	}
9.47/4.02	
9.47/4.02	----------------------------------------
9.47/4.02	
9.47/4.02	(5) Narrow (SOUND)
9.47/4.02	Haskell To QDPs
9.47/4.02	
9.47/4.02	digraph dp_graph {
9.47/4.02	node [outthreshold=100, inthreshold=100];1[label="subtract",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.47/4.02	3[label="subtract vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.47/4.02	4[label="subtract vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.47/4.02	5[label="flip (-) vx3 vx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.47/4.02	6[label="(-) vx4 vx3",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.47/4.02	7[label="primMinusInt vx4 vx3",fontsize=16,color="burlywood",shape="box"];49[label="vx4/Pos vx40",fontsize=10,color="white",style="solid",shape="box"];7 -> 49[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	49 -> 8[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	50[label="vx4/Neg vx40",fontsize=10,color="white",style="solid",shape="box"];7 -> 50[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	50 -> 9[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	8[label="primMinusInt (Pos vx40) vx3",fontsize=16,color="burlywood",shape="box"];51[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];8 -> 51[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	51 -> 10[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	52[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];8 -> 52[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	52 -> 11[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	9[label="primMinusInt (Neg vx40) vx3",fontsize=16,color="burlywood",shape="box"];53[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];9 -> 53[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	53 -> 12[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	54[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];9 -> 54[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	54 -> 13[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	10[label="primMinusInt (Pos vx40) (Pos vx30)",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3];
9.47/4.02	11[label="primMinusInt (Pos vx40) (Neg vx30)",fontsize=16,color="black",shape="box"];11 -> 15[label="",style="solid", color="black", weight=3];
9.47/4.02	12[label="primMinusInt (Neg vx40) (Pos vx30)",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3];
9.47/4.02	13[label="primMinusInt (Neg vx40) (Neg vx30)",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3];
9.47/4.02	14[label="primMinusNat vx40 vx30",fontsize=16,color="burlywood",shape="triangle"];55[label="vx40/Succ vx400",fontsize=10,color="white",style="solid",shape="box"];14 -> 55[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	55 -> 18[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	56[label="vx40/Zero",fontsize=10,color="white",style="solid",shape="box"];14 -> 56[label="",style="solid", color="burlywood", weight=9];
9.47/4.02	56 -> 19[label="",style="solid", color="burlywood", weight=3];
9.47/4.02	15[label="Pos (primPlusNat vx40 vx30)",fontsize=16,color="green",shape="box"];15 -> 20[label="",style="dashed", color="green", weight=3];

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