7.61/3.51	YES
9.36/3.97	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.36/3.97	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.36/3.97	
9.36/3.97	
9.36/3.97	H-Termination with start terms of the given HASKELL could be proven:
9.36/3.97	
9.36/3.97	(0) HASKELL
9.36/3.97	(1) BR [EQUIVALENT, 0 ms]
9.36/3.97	(2) HASKELL
9.36/3.97	(3) COR [EQUIVALENT, 0 ms]
9.36/3.97	(4) HASKELL
9.36/3.97	(5) Narrow [EQUIVALENT, 0 ms]
9.36/3.97	(6) YES
9.36/3.97	
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(0)
9.36/3.97	Obligation:
9.36/3.97	mainModule Main 
9.36/3.97	module Main where {
9.36/3.97	import qualified Prelude;
9.36/3.97	data MyBool = MyTrue  | MyFalse ;
9.36/3.97	
9.36/3.97	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.36/3.97	asAs MyFalse x = MyFalse;
9.36/3.97	asAs MyTrue x = x;
9.36/3.97	
9.36/3.97	}
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(1) BR (EQUIVALENT)
9.36/3.97	Replaced joker patterns by fresh variables and removed binding patterns.
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(2)
9.36/3.97	Obligation:
9.36/3.97	mainModule Main 
9.36/3.97	module Main where {
9.36/3.97	import qualified Prelude;
9.36/3.97	data MyBool = MyTrue  | MyFalse ;
9.36/3.97	
9.36/3.97	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.36/3.97	asAs MyFalse x = MyFalse;
9.36/3.97	asAs MyTrue x = x;
9.36/3.97	
9.36/3.97	}
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(3) COR (EQUIVALENT)
9.36/3.97	Cond Reductions:
9.36/3.97	The following Function with conditions
9.36/3.97	"undefined |Falseundefined;
9.36/3.97	"
9.36/3.97	is transformed to
9.36/3.97	"undefined  = undefined1;
9.36/3.97	"
9.36/3.97	"undefined0 True = undefined;
9.36/3.97	"
9.36/3.97	"undefined1  = undefined0 False;
9.36/3.97	"
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(4)
9.36/3.97	Obligation:
9.36/3.97	mainModule Main 
9.36/3.97	module Main where {
9.36/3.97	import qualified Prelude;
9.36/3.97	data MyBool = MyTrue  | MyFalse ;
9.36/3.97	
9.36/3.97	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.36/3.97	asAs MyFalse x = MyFalse;
9.36/3.97	asAs MyTrue x = x;
9.36/3.97	
9.36/3.97	}
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(5) Narrow (EQUIVALENT)
9.36/3.97	Haskell To QDPs
9.36/3.97	
9.36/3.97	digraph dp_graph {
9.36/3.97	node [outthreshold=100, inthreshold=100];1[label="asAs",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.36/3.97	3[label="asAs vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.36/3.97	4[label="asAs vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];9[label="vx3/MyTrue",fontsize=10,color="white",style="solid",shape="box"];4 -> 9[label="",style="solid", color="burlywood", weight=9];
9.36/3.97	9 -> 5[label="",style="solid", color="burlywood", weight=3];
9.36/3.97	10[label="vx3/MyFalse",fontsize=10,color="white",style="solid",shape="box"];4 -> 10[label="",style="solid", color="burlywood", weight=9];
9.36/3.97	10 -> 6[label="",style="solid", color="burlywood", weight=3];
9.36/3.97	5[label="asAs MyTrue vx4",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
9.36/3.97	6[label="asAs MyFalse vx4",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
9.36/3.97	7[label="vx4",fontsize=16,color="green",shape="box"];8[label="MyFalse",fontsize=16,color="green",shape="box"];}
9.36/3.97	
9.36/3.97	----------------------------------------
9.36/3.97	
9.36/3.97	(6)
9.36/3.97	YES
9.36/4.00	EOF