7.45/3.51	YES
8.72/3.94	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.72/3.94	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.72/3.94	
8.72/3.94	
8.72/3.94	H-Termination with start terms of the given HASKELL could be proven:
8.72/3.94	
8.72/3.94	(0) HASKELL
8.72/3.94	(1) BR [EQUIVALENT, 0 ms]
8.72/3.94	(2) HASKELL
8.72/3.94	(3) COR [EQUIVALENT, 0 ms]
8.72/3.94	(4) HASKELL
8.72/3.94	(5) Narrow [EQUIVALENT, 0 ms]
8.72/3.94	(6) YES
8.72/3.94	
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(0)
8.72/3.94	Obligation:
8.72/3.94	mainModule Main 
8.72/3.94	module Main where {
8.72/3.94	import qualified Prelude;
8.72/3.94	data List a = Cons a (List a)  | Nil ;
8.72/3.94	
8.72/3.94	data Tup0 = Tup0 ;
8.72/3.94	
8.72/3.94	enumFromThenTup0 :: Tup0  ->  Tup0  ->  List Tup0;
8.72/3.94	enumFromThenTup0 Tup0 Tup0 = Cons Tup0 Nil;
8.72/3.94	
8.72/3.94	}
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(1) BR (EQUIVALENT)
8.72/3.94	Replaced joker patterns by fresh variables and removed binding patterns.
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(2)
8.72/3.94	Obligation:
8.72/3.94	mainModule Main 
8.72/3.94	module Main where {
8.72/3.94	import qualified Prelude;
8.72/3.94	data List a = Cons a (List a)  | Nil ;
8.72/3.94	
8.72/3.94	data Tup0 = Tup0 ;
8.72/3.94	
8.72/3.94	enumFromThenTup0 :: Tup0  ->  Tup0  ->  List Tup0;
8.72/3.94	enumFromThenTup0 Tup0 Tup0 = Cons Tup0 Nil;
8.72/3.94	
8.72/3.94	}
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(3) COR (EQUIVALENT)
8.72/3.94	Cond Reductions:
8.72/3.94	The following Function with conditions
8.72/3.94	"undefined |Falseundefined;
8.72/3.94	"
8.72/3.94	is transformed to
8.72/3.94	"undefined  = undefined1;
8.72/3.94	"
8.72/3.94	"undefined0 True = undefined;
8.72/3.94	"
8.72/3.94	"undefined1  = undefined0 False;
8.72/3.94	"
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(4)
8.72/3.94	Obligation:
8.72/3.94	mainModule Main 
8.72/3.94	module Main where {
8.72/3.94	import qualified Prelude;
8.72/3.94	data List a = Cons a (List a)  | Nil ;
8.72/3.94	
8.72/3.94	data Tup0 = Tup0 ;
8.72/3.94	
8.72/3.94	enumFromThenTup0 :: Tup0  ->  Tup0  ->  List Tup0;
8.72/3.94	enumFromThenTup0 Tup0 Tup0 = Cons Tup0 Nil;
8.72/3.94	
8.72/3.94	}
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(5) Narrow (EQUIVALENT)
8.72/3.94	Haskell To QDPs
8.72/3.94	
8.72/3.94	digraph dp_graph {
8.72/3.94	node [outthreshold=100, inthreshold=100];1[label="enumFromThenTup0",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.72/3.94	3[label="enumFromThenTup0 vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
8.72/3.94	4[label="enumFromThenTup0 vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];8[label="vx3/Tup0",fontsize=10,color="white",style="solid",shape="box"];4 -> 8[label="",style="solid", color="burlywood", weight=9];
8.72/3.94	8 -> 5[label="",style="solid", color="burlywood", weight=3];
8.72/3.94	5[label="enumFromThenTup0 Tup0 vx4",fontsize=16,color="burlywood",shape="box"];9[label="vx4/Tup0",fontsize=10,color="white",style="solid",shape="box"];5 -> 9[label="",style="solid", color="burlywood", weight=9];
8.72/3.94	9 -> 6[label="",style="solid", color="burlywood", weight=3];
8.72/3.94	6[label="enumFromThenTup0 Tup0 Tup0",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
8.72/3.94	7[label="Cons Tup0 Nil",fontsize=16,color="green",shape="box"];}
8.72/3.94	
8.72/3.94	----------------------------------------
8.72/3.94	
8.72/3.94	(6)
8.72/3.94	YES
9.03/4.01	EOF