7.63/3.43	YES
9.23/3.89	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.23/3.89	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.23/3.89	
9.23/3.89	
9.23/3.89	H-Termination with start terms of the given HASKELL could be proven:
9.23/3.89	
9.23/3.89	(0) HASKELL
9.23/3.89	(1) BR [EQUIVALENT, 0 ms]
9.23/3.89	(2) HASKELL
9.23/3.89	(3) COR [EQUIVALENT, 0 ms]
9.23/3.89	(4) HASKELL
9.23/3.89	(5) Narrow [EQUIVALENT, 0 ms]
9.23/3.89	(6) YES
9.23/3.89	
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(0)
9.23/3.89	Obligation:
9.23/3.89	mainModule Main 
9.23/3.89	module Main where {
9.23/3.89	import qualified Prelude;
9.23/3.89	data Main.Char = Char MyInt ;
9.23/3.89	
9.23/3.89	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.23/3.89	
9.23/3.89	data Main.Nat = Succ Main.Nat  | Zero ;
9.23/3.89	
9.23/3.89	fromEnumChar :: Main.Char  ->  MyInt;
9.23/3.89	fromEnumChar = primCharToInt;
9.23/3.89	
9.23/3.89	ord :: Main.Char  ->  MyInt;
9.23/3.89	ord = fromEnumChar;
9.23/3.89	
9.23/3.89	primCharToInt :: Main.Char  ->  MyInt;
9.23/3.89	primCharToInt (Main.Char x) = x;
9.23/3.89	
9.23/3.89	}
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(1) BR (EQUIVALENT)
9.23/3.89	Replaced joker patterns by fresh variables and removed binding patterns.
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(2)
9.23/3.89	Obligation:
9.23/3.89	mainModule Main 
9.23/3.89	module Main where {
9.23/3.89	import qualified Prelude;
9.23/3.89	data Main.Char = Char MyInt ;
9.23/3.89	
9.23/3.89	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.23/3.89	
9.23/3.89	data Main.Nat = Succ Main.Nat  | Zero ;
9.23/3.89	
9.23/3.89	fromEnumChar :: Main.Char  ->  MyInt;
9.23/3.89	fromEnumChar = primCharToInt;
9.23/3.89	
9.23/3.89	ord :: Main.Char  ->  MyInt;
9.23/3.89	ord = fromEnumChar;
9.23/3.89	
9.23/3.89	primCharToInt :: Main.Char  ->  MyInt;
9.23/3.89	primCharToInt (Main.Char x) = x;
9.23/3.89	
9.23/3.89	}
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(3) COR (EQUIVALENT)
9.23/3.89	Cond Reductions:
9.23/3.89	The following Function with conditions
9.23/3.89	"undefined |Falseundefined;
9.23/3.89	"
9.23/3.89	is transformed to
9.23/3.89	"undefined  = undefined1;
9.23/3.89	"
9.23/3.89	"undefined0 True = undefined;
9.23/3.89	"
9.23/3.89	"undefined1  = undefined0 False;
9.23/3.89	"
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(4)
9.23/3.89	Obligation:
9.23/3.89	mainModule Main 
9.23/3.89	module Main where {
9.23/3.89	import qualified Prelude;
9.23/3.89	data Main.Char = Char MyInt ;
9.23/3.89	
9.23/3.89	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.23/3.89	
9.23/3.89	data Main.Nat = Succ Main.Nat  | Zero ;
9.23/3.89	
9.23/3.89	fromEnumChar :: Main.Char  ->  MyInt;
9.23/3.89	fromEnumChar = primCharToInt;
9.23/3.89	
9.23/3.89	ord :: Main.Char  ->  MyInt;
9.23/3.89	ord = fromEnumChar;
9.23/3.89	
9.23/3.89	primCharToInt :: Main.Char  ->  MyInt;
9.23/3.89	primCharToInt (Main.Char x) = x;
9.23/3.89	
9.23/3.89	}
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(5) Narrow (EQUIVALENT)
9.23/3.89	Haskell To QDPs
9.23/3.89	
9.23/3.89	digraph dp_graph {
9.23/3.89	node [outthreshold=100, inthreshold=100];1[label="ord",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.23/3.89	3[label="ord vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.23/3.89	4[label="fromEnumChar vx3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.23/3.89	5[label="primCharToInt vx3",fontsize=16,color="burlywood",shape="box"];8[label="vx3/Char vx30",fontsize=10,color="white",style="solid",shape="box"];5 -> 8[label="",style="solid", color="burlywood", weight=9];
9.23/3.89	8 -> 6[label="",style="solid", color="burlywood", weight=3];
9.23/3.89	6[label="primCharToInt (Char vx30)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.23/3.89	7[label="vx30",fontsize=16,color="green",shape="box"];}
9.23/3.89	
9.23/3.89	----------------------------------------
9.23/3.89	
9.23/3.89	(6)
9.23/3.89	YES
9.42/3.93	EOF