Haskell 2019-04-01 06.52 pair #433317297

details

property	value
status	complete
benchmark	pred_6.hs
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n153.star.cs.uiowa.edu
space	basic_haskell

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	4.06135 seconds
cpu usage	9.18584
user time	8.87466
system time	0.311177
max virtual memory	1.828352E7
max residence set size	578296.0

stage attributes

key	value
starexec-result	YES

output

7.19/3.53	YES
8.88/4.02	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.88/4.02	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.88/4.02	
8.88/4.02	
8.88/4.02	H-Termination with start terms of the given HASKELL could be proven:
8.88/4.02	
8.88/4.02	(0) HASKELL
8.88/4.02	(1) BR [EQUIVALENT, 0 ms]
8.88/4.02	(2) HASKELL
8.88/4.02	(3) COR [EQUIVALENT, 0 ms]
8.88/4.02	(4) HASKELL
8.88/4.02	(5) Narrow [EQUIVALENT, 0 ms]
8.88/4.02	(6) YES
8.88/4.02	
8.88/4.02	
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(0)
8.88/4.02	Obligation:
8.88/4.02	mainModule Main 
8.88/4.02	module Main where {
8.88/4.02	import qualified Prelude;
8.88/4.02	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.88/4.02	
8.88/4.02	data Main.Nat = Succ Main.Nat  | Zero ;
8.88/4.02	
8.88/4.02	predMyInt :: MyInt  ->  MyInt;
8.88/4.02	predMyInt (Main.Pos Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Neg Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Pos (Main.Succ x)) = Main.Pos x;
8.88/4.02	predMyInt (Main.Neg (Main.Succ x)) = Main.Neg (Main.Succ (Main.Succ x));
8.88/4.02	
8.88/4.02	}
8.88/4.02	
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(1) BR (EQUIVALENT)
8.88/4.02	Replaced joker patterns by fresh variables and removed binding patterns.
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(2)
8.88/4.02	Obligation:
8.88/4.02	mainModule Main 
8.88/4.02	module Main where {
8.88/4.02	import qualified Prelude;
8.88/4.02	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.88/4.02	
8.88/4.02	data Main.Nat = Succ Main.Nat  | Zero ;
8.88/4.02	
8.88/4.02	predMyInt :: MyInt  ->  MyInt;
8.88/4.02	predMyInt (Main.Pos Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Neg Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Pos (Main.Succ x)) = Main.Pos x;
8.88/4.02	predMyInt (Main.Neg (Main.Succ x)) = Main.Neg (Main.Succ (Main.Succ x));
8.88/4.02	
8.88/4.02	}
8.88/4.02	
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(3) COR (EQUIVALENT)
8.88/4.02	Cond Reductions:
8.88/4.02	The following Function with conditions
8.88/4.02	"undefined |Falseundefined;
8.88/4.02	"
8.88/4.02	is transformed to
8.88/4.02	"undefined  = undefined1;
8.88/4.02	"
8.88/4.02	"undefined0 True = undefined;
8.88/4.02	"
8.88/4.02	"undefined1  = undefined0 False;
8.88/4.02	"
8.88/4.02	
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(4)
8.88/4.02	Obligation:
8.88/4.02	mainModule Main 
8.88/4.02	module Main where {
8.88/4.02	import qualified Prelude;
8.88/4.02	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.88/4.02	
8.88/4.02	data Main.Nat = Succ Main.Nat  | Zero ;
8.88/4.02	
8.88/4.02	predMyInt :: MyInt  ->  MyInt;
8.88/4.02	predMyInt (Main.Pos Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Neg Main.Zero) = Main.Neg (Main.Succ Main.Zero);
8.88/4.02	predMyInt (Main.Pos (Main.Succ x)) = Main.Pos x;
8.88/4.02	predMyInt (Main.Neg (Main.Succ x)) = Main.Neg (Main.Succ (Main.Succ x));
8.88/4.02	
8.88/4.02	}
8.88/4.02	
8.88/4.02	----------------------------------------
8.88/4.02	
8.88/4.02	(5) Narrow (EQUIVALENT)
8.88/4.02	Haskell To QDPs
8.88/4.02	
8.88/4.02	digraph dp_graph {
8.88/4.02	node [outthreshold=100, inthreshold=100];1[label="predMyInt",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.88/4.02	3[label="predMyInt vx3",fontsize=16,color="burlywood",shape="triangle"];14[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];3 -> 14[label="",style="solid", color="burlywood", weight=9];

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