7.47/3.44	YES
8.89/3.87	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.89/3.87	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.89/3.87	
8.89/3.87	
8.89/3.87	H-Termination with start terms of the given HASKELL could be proven:
8.89/3.87	
8.89/3.87	(0) HASKELL
8.89/3.87	(1) BR [EQUIVALENT, 0 ms]
8.89/3.87	(2) HASKELL
8.89/3.87	(3) COR [EQUIVALENT, 0 ms]
8.89/3.87	(4) HASKELL
8.89/3.87	(5) Narrow [EQUIVALENT, 0 ms]
8.89/3.87	(6) YES
8.89/3.87	
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(0)
8.89/3.87	Obligation:
8.89/3.87	mainModule Main 
8.89/3.87	module Main where {
8.89/3.87	import qualified Prelude;
8.89/3.87	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.89/3.87	
8.89/3.87	data Main.Nat = Succ Main.Nat  | Zero ;
8.89/3.87	
8.89/3.87	id :: a  ->  a;
8.89/3.87	id x = x;
8.89/3.87	
8.89/3.87	toEnumMyInt :: MyInt  ->  MyInt;
8.89/3.87	toEnumMyInt = id;
8.89/3.87	
8.89/3.87	}
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(1) BR (EQUIVALENT)
8.89/3.87	Replaced joker patterns by fresh variables and removed binding patterns.
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(2)
8.89/3.87	Obligation:
8.89/3.87	mainModule Main 
8.89/3.87	module Main where {
8.89/3.87	import qualified Prelude;
8.89/3.87	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.89/3.87	
8.89/3.87	data Main.Nat = Succ Main.Nat  | Zero ;
8.89/3.87	
8.89/3.87	id :: a  ->  a;
8.89/3.87	id x = x;
8.89/3.87	
8.89/3.87	toEnumMyInt :: MyInt  ->  MyInt;
8.89/3.87	toEnumMyInt = id;
8.89/3.87	
8.89/3.87	}
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(3) COR (EQUIVALENT)
8.89/3.87	Cond Reductions:
8.89/3.87	The following Function with conditions
8.89/3.87	"undefined |Falseundefined;
8.89/3.87	"
8.89/3.87	is transformed to
8.89/3.87	"undefined  = undefined1;
8.89/3.87	"
8.89/3.87	"undefined0 True = undefined;
8.89/3.87	"
8.89/3.87	"undefined1  = undefined0 False;
8.89/3.87	"
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(4)
8.89/3.87	Obligation:
8.89/3.87	mainModule Main 
8.89/3.87	module Main where {
8.89/3.87	import qualified Prelude;
8.89/3.87	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
8.89/3.87	
8.89/3.87	data Main.Nat = Succ Main.Nat  | Zero ;
8.89/3.87	
8.89/3.87	id :: a  ->  a;
8.89/3.87	id x = x;
8.89/3.87	
8.89/3.87	toEnumMyInt :: MyInt  ->  MyInt;
8.89/3.87	toEnumMyInt = id;
8.89/3.87	
8.89/3.87	}
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(5) Narrow (EQUIVALENT)
8.89/3.87	Haskell To QDPs
8.89/3.87	
8.89/3.87	digraph dp_graph {
8.89/3.87	node [outthreshold=100, inthreshold=100];1[label="toEnumMyInt",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.89/3.87	3[label="toEnumMyInt vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
8.89/3.87	4[label="id vx3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
8.89/3.87	5[label="vx3",fontsize=16,color="green",shape="box"];}
8.89/3.87	
8.89/3.87	----------------------------------------
8.89/3.87	
8.89/3.87	(6)
8.89/3.87	YES
8.89/3.92	EOF