Haskell 2019-04-01 06.52 pair #433315875

details

property	value
status	complete
benchmark	Prelude_pred_2.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n175.star.cs.uiowa.edu
space	full_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.12819 seconds
cpu usage	10.2099
user time	9.93041
system time	0.279535
max virtual memory	1.828352E7
max residence set size	554516.0

stage attributes

key	value
starexec-result	YES

output

8.23/3.57	YES
10.08/4.09	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
10.08/4.09	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.08/4.09	
10.08/4.09	
10.08/4.09	H-Termination with start terms of the given HASKELL could be proven:
10.08/4.09	
10.08/4.09	(0) HASKELL
10.08/4.09	(1) BR [EQUIVALENT, 0 ms]
10.08/4.09	(2) HASKELL
10.08/4.09	(3) COR [EQUIVALENT, 0 ms]
10.08/4.09	(4) HASKELL
10.08/4.09	(5) NumRed [SOUND, 0 ms]
10.08/4.09	(6) HASKELL
10.08/4.09	(7) Narrow [EQUIVALENT, 0 ms]
10.08/4.09	(8) YES
10.08/4.09	
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(0)
10.08/4.09	Obligation:
10.08/4.09	mainModule Main 
10.08/4.09	module Main where {
10.08/4.09	import qualified Prelude;
10.08/4.09	}
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(1) BR (EQUIVALENT)
10.08/4.09	Replaced joker patterns by fresh variables and removed binding patterns.
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(2)
10.08/4.09	Obligation:
10.08/4.09	mainModule Main 
10.08/4.09	module Main where {
10.08/4.09	import qualified Prelude;
10.08/4.09	}
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(3) COR (EQUIVALENT)
10.08/4.09	Cond Reductions:
10.08/4.09	The following Function with conditions
10.08/4.09	"toEnum 0 = ();
10.08/4.09	"
10.08/4.09	is transformed to
10.08/4.09	"toEnum vz = toEnum1 vz;
10.08/4.09	"
10.08/4.09	"toEnum0 True vz = ();
10.08/4.09	"
10.08/4.09	"toEnum1 vz = toEnum0 (vz == 0) vz;
10.08/4.09	"
10.08/4.09	The following Function with conditions
10.08/4.09	"undefined |Falseundefined;
10.08/4.09	"
10.08/4.09	is transformed to
10.08/4.09	"undefined  = undefined1;
10.08/4.09	"
10.08/4.09	"undefined0 True = undefined;
10.08/4.09	"
10.08/4.09	"undefined1  = undefined0 False;
10.08/4.09	"
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(4)
10.08/4.09	Obligation:
10.08/4.09	mainModule Main 
10.08/4.09	module Main where {
10.08/4.09	import qualified Prelude;
10.08/4.09	}
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(5) NumRed (SOUND)
10.08/4.09	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(6)
10.08/4.09	Obligation:
10.08/4.09	mainModule Main 
10.08/4.09	module Main where {
10.08/4.09	import qualified Prelude;
10.08/4.09	}
10.08/4.09	
10.08/4.09	----------------------------------------
10.08/4.09	
10.08/4.09	(7) Narrow (EQUIVALENT)
10.08/4.09	Haskell To QDPs
10.08/4.09	
10.08/4.09	digraph dp_graph {
10.08/4.09	node [outthreshold=100, inthreshold=100];1[label="pred",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.08/4.09	3[label="pred wu3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.08/4.09	4[label="toEnum . (subtract (Pos (Succ Zero))) . fromEnum",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
10.08/4.09	5[label="toEnum ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.08/4.09	6[label="toEnum1 ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.08/4.09	7[label="toEnum0 ((subtract (Pos (Succ Zero))) . fromEnum == Pos Zero) ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
10.08/4.09	8[label="toEnum0 (primEqInt ((subtract (Pos (Succ Zero))) . fromEnum) (Pos Zero)) ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];

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actions all output return to Haskell 2019-04-01 06.52