Haskell 2019-04-01 06.52 pair #433316228

details
property	value
status	complete
benchmark	Prelude_LTEQ_3.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n136.star.cs.uiowa.edu
space	full_haskell
run statistics
property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.05294 seconds
cpu usage	9.78975
user time	9.4394
system time	0.350353
max virtual memory	1.828352E7
max residence set size	610548.0
stage attributes
key	value
starexec-result	YES
output
7.75/3.50	YES
9.69/3.99	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.69/3.99	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.69/3.99	
9.69/3.99	
9.69/3.99	H-Termination with start terms of the given HASKELL could be proven:
9.69/3.99	
9.69/3.99	(0) HASKELL
9.69/3.99	(1) BR [EQUIVALENT, 0 ms]
9.69/3.99	(2) HASKELL
9.69/3.99	(3) COR [EQUIVALENT, 0 ms]
9.69/3.99	(4) HASKELL
9.69/3.99	(5) Narrow [SOUND, 0 ms]
9.69/3.99	(6) QDP
9.69/3.99	(7) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.69/3.99	(8) YES
9.69/3.99	
9.69/3.99	
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(0)
9.69/3.99	Obligation:
9.69/3.99	mainModule Main 
9.69/3.99	module Main where {
9.69/3.99	import qualified Prelude;
9.69/3.99	}
9.69/3.99	
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(1) BR (EQUIVALENT)
9.69/3.99	Replaced joker patterns by fresh variables and removed binding patterns.
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(2)
9.69/3.99	Obligation:
9.69/3.99	mainModule Main 
9.69/3.99	module Main where {
9.69/3.99	import qualified Prelude;
9.69/3.99	}
9.69/3.99	
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(3) COR (EQUIVALENT)
9.69/3.99	Cond Reductions:
9.69/3.99	The following Function with conditions
9.69/3.99	"undefined |Falseundefined;
9.69/3.99	"
9.69/3.99	is transformed to
9.69/3.99	"undefined  = undefined1;
9.69/3.99	"
9.69/3.99	"undefined0 True = undefined;
9.69/3.99	"
9.69/3.99	"undefined1  = undefined0 False;
9.69/3.99	"
9.69/3.99	
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(4)
9.69/3.99	Obligation:
9.69/3.99	mainModule Main 
9.69/3.99	module Main where {
9.69/3.99	import qualified Prelude;
9.69/3.99	}
9.69/3.99	
9.69/3.99	----------------------------------------
9.69/3.99	
9.69/3.99	(5) Narrow (SOUND)
9.69/3.99	Haskell To QDPs
9.69/3.99	
9.69/3.99	digraph dp_graph {
9.69/3.99	node [outthreshold=100, inthreshold=100];1[label="(<=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.69/3.99	3[label="(<=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.69/3.99	4[label="(<=) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.69/3.99	5[label="compare vx3 vx4 /= GT",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.69/3.99	6[label="not (compare vx3 vx4 == GT)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.69/3.99	7[label="not (primCmpChar vx3 vx4 == GT)",fontsize=16,color="burlywood",shape="box"];28[label="vx3/Char vx30",fontsize=10,color="white",style="solid",shape="box"];7 -> 28[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	28 -> 8[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	8[label="not (primCmpChar (Char vx30) vx4 == GT)",fontsize=16,color="burlywood",shape="box"];29[label="vx4/Char vx40",fontsize=10,color="white",style="solid",shape="box"];8 -> 29[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	29 -> 9[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	9[label="not (primCmpChar (Char vx30) (Char vx40) == GT)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
9.69/3.99	10[label="not (primCmpNat vx30 vx40 == GT)",fontsize=16,color="burlywood",shape="triangle"];30[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 30[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	30 -> 11[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	31[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];10 -> 31[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	31 -> 12[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	11[label="not (primCmpNat (Succ vx300) vx40 == GT)",fontsize=16,color="burlywood",shape="box"];32[label="vx40/Succ vx400",fontsize=10,color="white",style="solid",shape="box"];11 -> 32[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	32 -> 13[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	33[label="vx40/Zero",fontsize=10,color="white",style="solid",shape="box"];11 -> 33[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	33 -> 14[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	12[label="not (primCmpNat Zero vx40 == GT)",fontsize=16,color="burlywood",shape="box"];34[label="vx40/Succ vx400",fontsize=10,color="white",style="solid",shape="box"];12 -> 34[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	34 -> 15[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	35[label="vx40/Zero",fontsize=10,color="white",style="solid",shape="box"];12 -> 35[label="",style="solid", color="burlywood", weight=9];
9.69/3.99	35 -> 16[label="",style="solid", color="burlywood", weight=3];
9.69/3.99	13[label="not (primCmpNat (Succ vx300) (Succ vx400) == GT)",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3];
9.69/3.99	14[label="not (primCmpNat (Succ vx300) Zero == GT)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
9.69/3.99	15[label="not (primCmpNat Zero (Succ vx400) == GT)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
9.69/3.99	16[label="not (primCmpNat Zero Zero == GT)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
9.69/3.99	17 -> 10[label="",style="dashed", color="red", weight=0];
9.69/3.99	17[label="not (primCmpNat vx300 vx400 == GT)",fontsize=16,color="magenta"];17 -> 21[label="",style="dashed", color="magenta", weight=3];
9.69/3.99	17 -> 22[label="",style="dashed", color="magenta", weight=3];
9.69/3.99	18[label="not (GT == GT)",fontsize=16,color="black",shape="box"];18 -> 23[label="",style="solid", color="black", weight=3];
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