7.92/3.51	YES
9.79/4.05	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.79/4.05	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.79/4.05	
9.79/4.05	
9.79/4.05	H-Termination with start terms of the given HASKELL could be proven:
9.79/4.05	
9.79/4.05	(0) HASKELL
9.79/4.05	(1) BR [EQUIVALENT, 0 ms]
9.79/4.05	(2) HASKELL
9.79/4.05	(3) COR [EQUIVALENT, 0 ms]
9.79/4.05	(4) HASKELL
9.79/4.05	(5) NumRed [SOUND, 0 ms]
9.79/4.05	(6) HASKELL
9.79/4.05	(7) Narrow [EQUIVALENT, 9 ms]
9.79/4.05	(8) YES
9.79/4.05	
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(0)
9.79/4.05	Obligation:
9.79/4.05	mainModule Main 
9.79/4.05	module Main where {
9.79/4.05	import qualified Prelude;
9.79/4.05	}
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(1) BR (EQUIVALENT)
9.79/4.05	Replaced joker patterns by fresh variables and removed binding patterns.
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(2)
9.79/4.05	Obligation:
9.79/4.05	mainModule Main 
9.79/4.05	module Main where {
9.79/4.05	import qualified Prelude;
9.79/4.05	}
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(3) COR (EQUIVALENT)
9.79/4.05	Cond Reductions:
9.79/4.05	The following Function with conditions
9.79/4.05	"undefined |Falseundefined;
9.79/4.05	"
9.79/4.05	is transformed to
9.79/4.05	"undefined  = undefined1;
9.79/4.05	"
9.79/4.05	"undefined0 True = undefined;
9.79/4.05	"
9.79/4.05	"undefined1  = undefined0 False;
9.79/4.05	"
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(4)
9.79/4.05	Obligation:
9.79/4.05	mainModule Main 
9.79/4.05	module Main where {
9.79/4.05	import qualified Prelude;
9.79/4.05	}
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(5) NumRed (SOUND)
9.79/4.05	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(6)
9.79/4.05	Obligation:
9.79/4.05	mainModule Main 
9.79/4.05	module Main where {
9.79/4.05	import qualified Prelude;
9.79/4.05	}
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(7) Narrow (EQUIVALENT)
9.79/4.05	Haskell To QDPs
9.79/4.05	
9.79/4.05	digraph dp_graph {
9.79/4.05	node [outthreshold=100, inthreshold=100];1[label="pred",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.79/4.05	3[label="pred vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.79/4.05	4[label="toEnum . (subtract (Pos (Succ Zero))) . fromEnum",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.79/4.05	5[label="toEnum ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.79/4.05	6[label="primIntToChar ((subtract (Pos (Succ Zero))) . fromEnum)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.79/4.05	7[label="primIntToChar (subtract (Pos (Succ Zero)) (fromEnum vx3))",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
9.79/4.05	8[label="primIntToChar (flip (-) (Pos (Succ Zero)) (fromEnum vx3))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9.79/4.05	9[label="primIntToChar ((-) fromEnum vx3 Pos (Succ Zero))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
9.79/4.05	10[label="primIntToChar (primMinusInt (fromEnum vx3) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
9.79/4.05	11[label="primIntToChar (primMinusInt (primCharToInt vx3) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];26[label="vx3/Char vx30",fontsize=10,color="white",style="solid",shape="box"];11 -> 26[label="",style="solid", color="burlywood", weight=9];
9.79/4.05	26 -> 12[label="",style="solid", color="burlywood", weight=3];
9.79/4.05	12[label="primIntToChar (primMinusInt (primCharToInt (Char vx30)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3];
9.79/4.05	13[label="primIntToChar (primMinusInt (Pos vx30) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3];
9.79/4.05	14[label="primIntToChar (primMinusNat vx30 (Succ Zero))",fontsize=16,color="burlywood",shape="box"];27[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];14 -> 27[label="",style="solid", color="burlywood", weight=9];
9.79/4.05	27 -> 15[label="",style="solid", color="burlywood", weight=3];
9.79/4.05	28[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];14 -> 28[label="",style="solid", color="burlywood", weight=9];
9.79/4.05	28 -> 16[label="",style="solid", color="burlywood", weight=3];
9.79/4.05	15[label="primIntToChar (primMinusNat (Succ vx300) (Succ Zero))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3];
9.79/4.05	16[label="primIntToChar (primMinusNat Zero (Succ Zero))",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3];
9.79/4.05	17[label="primIntToChar (primMinusNat vx300 Zero)",fontsize=16,color="burlywood",shape="box"];29[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];17 -> 29[label="",style="solid", color="burlywood", weight=9];
9.79/4.05	29 -> 19[label="",style="solid", color="burlywood", weight=3];
9.79/4.05	30[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];17 -> 30[label="",style="solid", color="burlywood", weight=9];
9.79/4.05	30 -> 20[label="",style="solid", color="burlywood", weight=3];
9.79/4.05	18[label="primIntToChar (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];18 -> 21[label="",style="solid", color="black", weight=3];
9.79/4.05	19[label="primIntToChar (primMinusNat (Succ vx3000) Zero)",fontsize=16,color="black",shape="box"];19 -> 22[label="",style="solid", color="black", weight=3];
9.79/4.05	20[label="primIntToChar (primMinusNat Zero Zero)",fontsize=16,color="black",shape="box"];20 -> 23[label="",style="solid", color="black", weight=3];
9.79/4.05	21[label="error []",fontsize=16,color="red",shape="box"];22[label="primIntToChar (Pos (Succ vx3000))",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3];
9.79/4.05	23[label="primIntToChar (Pos Zero)",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3];
9.79/4.05	24[label="Char (Succ vx3000)",fontsize=16,color="green",shape="box"];25[label="Char Zero",fontsize=16,color="green",shape="box"];}
9.79/4.05	
9.79/4.05	----------------------------------------
9.79/4.05	
9.79/4.05	(8)
9.79/4.05	YES
9.79/4.09	EOF