7.91/3.45	YES
9.42/3.88	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.42/3.88	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.42/3.88	
9.42/3.88	
9.42/3.88	H-Termination with start terms of the given HASKELL could be proven:
9.42/3.88	
9.42/3.88	(0) HASKELL
9.42/3.88	(1) BR [EQUIVALENT, 0 ms]
9.42/3.88	(2) HASKELL
9.42/3.88	(3) COR [EQUIVALENT, 0 ms]
9.42/3.88	(4) HASKELL
9.42/3.88	(5) Narrow [EQUIVALENT, 0 ms]
9.42/3.88	(6) YES
9.42/3.88	
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(0)
9.42/3.88	Obligation:
9.42/3.88	mainModule Main 
9.42/3.88	module Main where {
9.42/3.88	import qualified Prelude;
9.42/3.88	data Float = Float MyInt MyInt ;
9.42/3.88	
9.42/3.88	data MyBool = MyTrue  | MyFalse ;
9.42/3.88	
9.42/3.88	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.42/3.88	
9.42/3.88	data Main.Nat = Succ Main.Nat  | Zero ;
9.42/3.88	
9.42/3.88	isIEEEFloat :: Float  ->  MyBool;
9.42/3.88	isIEEEFloat vv = MyFalse;
9.42/3.88	
9.42/3.88	}
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(1) BR (EQUIVALENT)
9.42/3.88	Replaced joker patterns by fresh variables and removed binding patterns.
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(2)
9.42/3.88	Obligation:
9.42/3.88	mainModule Main 
9.42/3.88	module Main where {
9.42/3.88	import qualified Prelude;
9.42/3.88	data Float = Float MyInt MyInt ;
9.42/3.88	
9.42/3.88	data MyBool = MyTrue  | MyFalse ;
9.42/3.88	
9.42/3.88	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.42/3.88	
9.42/3.88	data Main.Nat = Succ Main.Nat  | Zero ;
9.42/3.88	
9.42/3.88	isIEEEFloat :: Float  ->  MyBool;
9.42/3.88	isIEEEFloat vv = MyFalse;
9.42/3.88	
9.42/3.88	}
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(3) COR (EQUIVALENT)
9.42/3.88	Cond Reductions:
9.42/3.88	The following Function with conditions
9.42/3.88	"undefined |Falseundefined;
9.42/3.88	"
9.42/3.88	is transformed to
9.42/3.88	"undefined  = undefined1;
9.42/3.88	"
9.42/3.88	"undefined0 True = undefined;
9.42/3.88	"
9.42/3.88	"undefined1  = undefined0 False;
9.42/3.88	"
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(4)
9.42/3.88	Obligation:
9.42/3.88	mainModule Main 
9.42/3.88	module Main where {
9.42/3.88	import qualified Prelude;
9.42/3.88	data Float = Float MyInt MyInt ;
9.42/3.88	
9.42/3.88	data MyBool = MyTrue  | MyFalse ;
9.42/3.88	
9.42/3.88	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.42/3.88	
9.42/3.88	data Main.Nat = Succ Main.Nat  | Zero ;
9.42/3.88	
9.42/3.88	isIEEEFloat :: Float  ->  MyBool;
9.42/3.88	isIEEEFloat vv = MyFalse;
9.42/3.88	
9.42/3.88	}
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(5) Narrow (EQUIVALENT)
9.42/3.88	Haskell To QDPs
9.42/3.88	
9.42/3.88	digraph dp_graph {
9.42/3.88	node [outthreshold=100, inthreshold=100];1[label="isIEEEFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.42/3.88	3[label="isIEEEFloat vy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.42/3.88	4[label="MyFalse",fontsize=16,color="green",shape="box"];}
9.42/3.88	
9.42/3.88	----------------------------------------
9.42/3.88	
9.42/3.88	(6)
9.42/3.88	YES
9.42/3.90	EOF