8.15/3.51	YES
9.57/3.94	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.57/3.94	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.57/3.94	
9.57/3.94	
9.57/3.94	H-Termination with start terms of the given HASKELL could be proven:
9.57/3.94	
9.57/3.94	(0) HASKELL
9.57/3.94	(1) BR [EQUIVALENT, 0 ms]
9.57/3.94	(2) HASKELL
9.57/3.94	(3) COR [EQUIVALENT, 0 ms]
9.57/3.94	(4) HASKELL
9.57/3.94	(5) Narrow [EQUIVALENT, 0 ms]
9.57/3.94	(6) YES
9.57/3.94	
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(0)
9.57/3.94	Obligation:
9.57/3.94	mainModule Main 
9.57/3.94	module Main where {
9.57/3.94	import qualified Prelude;
9.57/3.94	data Float = Float MyInt MyInt ;
9.57/3.94	
9.57/3.94	data MyBool = MyTrue  | MyFalse ;
9.57/3.94	
9.57/3.94	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.57/3.94	
9.57/3.94	data Main.Nat = Succ Main.Nat  | Zero ;
9.57/3.94	
9.57/3.94	isNaNFloat :: Float  ->  MyBool;
9.57/3.94	isNaNFloat vv = MyFalse;
9.57/3.94	
9.57/3.94	}
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(1) BR (EQUIVALENT)
9.57/3.94	Replaced joker patterns by fresh variables and removed binding patterns.
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(2)
9.57/3.94	Obligation:
9.57/3.94	mainModule Main 
9.57/3.94	module Main where {
9.57/3.94	import qualified Prelude;
9.57/3.94	data Float = Float MyInt MyInt ;
9.57/3.94	
9.57/3.94	data MyBool = MyTrue  | MyFalse ;
9.57/3.94	
9.57/3.94	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.57/3.94	
9.57/3.94	data Main.Nat = Succ Main.Nat  | Zero ;
9.57/3.94	
9.57/3.94	isNaNFloat :: Float  ->  MyBool;
9.57/3.94	isNaNFloat vv = MyFalse;
9.57/3.94	
9.57/3.94	}
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(3) COR (EQUIVALENT)
9.57/3.94	Cond Reductions:
9.57/3.94	The following Function with conditions
9.57/3.94	"undefined |Falseundefined;
9.57/3.94	"
9.57/3.94	is transformed to
9.57/3.94	"undefined  = undefined1;
9.57/3.94	"
9.57/3.94	"undefined0 True = undefined;
9.57/3.94	"
9.57/3.94	"undefined1  = undefined0 False;
9.57/3.94	"
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(4)
9.57/3.94	Obligation:
9.57/3.94	mainModule Main 
9.57/3.94	module Main where {
9.57/3.94	import qualified Prelude;
9.57/3.94	data Float = Float MyInt MyInt ;
9.57/3.94	
9.57/3.94	data MyBool = MyTrue  | MyFalse ;
9.57/3.94	
9.57/3.94	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.57/3.94	
9.57/3.94	data Main.Nat = Succ Main.Nat  | Zero ;
9.57/3.94	
9.57/3.94	isNaNFloat :: Float  ->  MyBool;
9.57/3.94	isNaNFloat vv = MyFalse;
9.57/3.94	
9.57/3.94	}
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(5) Narrow (EQUIVALENT)
9.57/3.94	Haskell To QDPs
9.57/3.94	
9.57/3.94	digraph dp_graph {
9.57/3.94	node [outthreshold=100, inthreshold=100];1[label="isNaNFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.57/3.94	3[label="isNaNFloat vy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.57/3.94	4[label="MyFalse",fontsize=16,color="green",shape="box"];}
9.57/3.94	
9.57/3.94	----------------------------------------
9.57/3.94	
9.57/3.94	(6)
9.57/3.94	YES
9.70/4.01	EOF