7.69/3.54	YES
9.09/3.98	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.09/3.98	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.09/3.98	
9.09/3.98	
9.09/3.98	H-Termination with start terms of the given HASKELL could be proven:
9.09/3.98	
9.09/3.98	(0) HASKELL
9.09/3.98	(1) BR [EQUIVALENT, 0 ms]
9.09/3.98	(2) HASKELL
9.09/3.98	(3) COR [EQUIVALENT, 0 ms]
9.09/3.98	(4) HASKELL
9.09/3.98	(5) Narrow [EQUIVALENT, 0 ms]
9.09/3.98	(6) YES
9.09/3.98	
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(0)
9.09/3.98	Obligation:
9.09/3.98	mainModule Main 
9.09/3.98	module Main where {
9.09/3.98	import qualified Prelude;
9.09/3.98	data MyBool = MyTrue  | MyFalse ;
9.09/3.98	
9.09/3.98	data Tup0 = Tup0 ;
9.09/3.98	
9.09/3.98	data Tup2 a b = Tup2 a b ;
9.09/3.98	
9.09/3.98	inRangeTup0 :: Tup2 Tup0 Tup0  ->  Tup0  ->  MyBool;
9.09/3.98	inRangeTup0 (Tup2 Tup0 Tup0) Tup0 = MyTrue;
9.09/3.98	
9.09/3.98	}
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(1) BR (EQUIVALENT)
9.09/3.98	Replaced joker patterns by fresh variables and removed binding patterns.
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(2)
9.09/3.98	Obligation:
9.09/3.98	mainModule Main 
9.09/3.98	module Main where {
9.09/3.98	import qualified Prelude;
9.09/3.98	data MyBool = MyTrue  | MyFalse ;
9.09/3.98	
9.09/3.98	data Tup0 = Tup0 ;
9.09/3.98	
9.09/3.98	data Tup2 b a = Tup2 b a ;
9.09/3.98	
9.09/3.98	inRangeTup0 :: Tup2 Tup0 Tup0  ->  Tup0  ->  MyBool;
9.09/3.98	inRangeTup0 (Tup2 Tup0 Tup0) Tup0 = MyTrue;
9.09/3.98	
9.09/3.98	}
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(3) COR (EQUIVALENT)
9.09/3.98	Cond Reductions:
9.09/3.98	The following Function with conditions
9.09/3.98	"undefined |Falseundefined;
9.09/3.98	"
9.09/3.98	is transformed to
9.09/3.98	"undefined  = undefined1;
9.09/3.98	"
9.09/3.98	"undefined0 True = undefined;
9.09/3.98	"
9.09/3.98	"undefined1  = undefined0 False;
9.09/3.98	"
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(4)
9.09/3.98	Obligation:
9.09/3.98	mainModule Main 
9.09/3.98	module Main where {
9.09/3.98	import qualified Prelude;
9.09/3.98	data MyBool = MyTrue  | MyFalse ;
9.09/3.98	
9.09/3.98	data Tup0 = Tup0 ;
9.09/3.98	
9.09/3.98	data Tup2 a b = Tup2 a b ;
9.09/3.98	
9.09/3.98	inRangeTup0 :: Tup2 Tup0 Tup0  ->  Tup0  ->  MyBool;
9.09/3.98	inRangeTup0 (Tup2 Tup0 Tup0) Tup0 = MyTrue;
9.09/3.98	
9.09/3.98	}
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(5) Narrow (EQUIVALENT)
9.09/3.98	Haskell To QDPs
9.09/3.98	
9.09/3.98	digraph dp_graph {
9.09/3.98	node [outthreshold=100, inthreshold=100];1[label="inRangeTup0",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.09/3.98	3[label="inRangeTup0 vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.09/3.98	4[label="inRangeTup0 vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];10[label="vx3/Tup2 vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];4 -> 10[label="",style="solid", color="burlywood", weight=9];
9.09/3.98	10 -> 5[label="",style="solid", color="burlywood", weight=3];
9.09/3.98	5[label="inRangeTup0 (Tup2 vx30 vx31) vx4",fontsize=16,color="burlywood",shape="box"];11[label="vx30/Tup0",fontsize=10,color="white",style="solid",shape="box"];5 -> 11[label="",style="solid", color="burlywood", weight=9];
9.09/3.98	11 -> 6[label="",style="solid", color="burlywood", weight=3];
9.09/3.98	6[label="inRangeTup0 (Tup2 Tup0 vx31) vx4",fontsize=16,color="burlywood",shape="box"];12[label="vx31/Tup0",fontsize=10,color="white",style="solid",shape="box"];6 -> 12[label="",style="solid", color="burlywood", weight=9];
9.09/3.98	12 -> 7[label="",style="solid", color="burlywood", weight=3];
9.09/3.98	7[label="inRangeTup0 (Tup2 Tup0 Tup0) vx4",fontsize=16,color="burlywood",shape="box"];13[label="vx4/Tup0",fontsize=10,color="white",style="solid",shape="box"];7 -> 13[label="",style="solid", color="burlywood", weight=9];
9.09/3.98	13 -> 8[label="",style="solid", color="burlywood", weight=3];
9.09/3.98	8[label="inRangeTup0 (Tup2 Tup0 Tup0) Tup0",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9.09/3.98	9[label="MyTrue",fontsize=16,color="green",shape="box"];}
9.09/3.98	
9.09/3.98	----------------------------------------
9.09/3.98	
9.09/3.98	(6)
9.09/3.98	YES
9.30/7.65	EOF