7.65/3.66	YES
9.00/4.11	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.00/4.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.00/4.11	
9.00/4.11	
9.00/4.11	H-Termination with start terms of the given HASKELL could be proven:
9.00/4.11	
9.00/4.11	(0) HASKELL
9.00/4.11	(1) BR [EQUIVALENT, 0 ms]
9.00/4.11	(2) HASKELL
9.00/4.11	(3) COR [EQUIVALENT, 0 ms]
9.00/4.11	(4) HASKELL
9.00/4.11	(5) Narrow [EQUIVALENT, 0 ms]
9.00/4.11	(6) YES
9.00/4.11	
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(0)
9.00/4.11	Obligation:
9.00/4.11	mainModule Main 
9.00/4.11	module Main where {
9.00/4.11	import qualified Prelude;
9.00/4.11	data Main.Char = Char MyInt ;
9.00/4.11	
9.00/4.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.00/4.11	
9.00/4.11	data Main.Nat = Succ Main.Nat  | Zero ;
9.00/4.11	
9.00/4.11	chr :: MyInt  ->  Main.Char;
9.00/4.11	chr = toEnumChar;
9.00/4.11	
9.00/4.11	primIntToChar :: MyInt  ->  Main.Char;
9.00/4.11	primIntToChar x = Main.Char x;
9.00/4.11	
9.00/4.11	toEnumChar :: MyInt  ->  Main.Char;
9.00/4.11	toEnumChar = primIntToChar;
9.00/4.11	
9.00/4.11	}
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(1) BR (EQUIVALENT)
9.00/4.11	Replaced joker patterns by fresh variables and removed binding patterns.
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(2)
9.00/4.11	Obligation:
9.00/4.11	mainModule Main 
9.00/4.11	module Main where {
9.00/4.11	import qualified Prelude;
9.00/4.11	data Main.Char = Char MyInt ;
9.00/4.11	
9.00/4.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.00/4.11	
9.00/4.11	data Main.Nat = Succ Main.Nat  | Zero ;
9.00/4.11	
9.00/4.11	chr :: MyInt  ->  Main.Char;
9.00/4.11	chr = toEnumChar;
9.00/4.11	
9.00/4.11	primIntToChar :: MyInt  ->  Main.Char;
9.00/4.11	primIntToChar x = Main.Char x;
9.00/4.11	
9.00/4.11	toEnumChar :: MyInt  ->  Main.Char;
9.00/4.11	toEnumChar = primIntToChar;
9.00/4.11	
9.00/4.11	}
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(3) COR (EQUIVALENT)
9.00/4.11	Cond Reductions:
9.00/4.11	The following Function with conditions
9.00/4.11	"undefined |Falseundefined;
9.00/4.11	"
9.00/4.11	is transformed to
9.00/4.11	"undefined  = undefined1;
9.00/4.11	"
9.00/4.11	"undefined0 True = undefined;
9.00/4.11	"
9.00/4.11	"undefined1  = undefined0 False;
9.00/4.11	"
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(4)
9.00/4.11	Obligation:
9.00/4.11	mainModule Main 
9.00/4.11	module Main where {
9.00/4.11	import qualified Prelude;
9.00/4.11	data Main.Char = Char MyInt ;
9.00/4.11	
9.00/4.11	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.00/4.11	
9.00/4.11	data Main.Nat = Succ Main.Nat  | Zero ;
9.00/4.11	
9.00/4.11	chr :: MyInt  ->  Main.Char;
9.00/4.11	chr = toEnumChar;
9.00/4.11	
9.00/4.11	primIntToChar :: MyInt  ->  Main.Char;
9.00/4.11	primIntToChar x = Main.Char x;
9.00/4.11	
9.00/4.11	toEnumChar :: MyInt  ->  Main.Char;
9.00/4.11	toEnumChar = primIntToChar;
9.00/4.11	
9.00/4.11	}
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(5) Narrow (EQUIVALENT)
9.00/4.11	Haskell To QDPs
9.00/4.11	
9.00/4.11	digraph dp_graph {
9.00/4.11	node [outthreshold=100, inthreshold=100];1[label="chr",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.00/4.11	3[label="chr vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.00/4.11	4[label="toEnumChar vx3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.00/4.11	5[label="primIntToChar vx3",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.00/4.11	6[label="Char vx3",fontsize=16,color="green",shape="box"];}
9.00/4.11	
9.00/4.11	----------------------------------------
9.00/4.11	
9.00/4.11	(6)
9.00/4.11	YES
9.20/4.16	EOF