7.56/3.41	YES
8.99/3.86	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.99/3.86	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.99/3.86	
8.99/3.86	
8.99/3.86	H-Termination with start terms of the given HASKELL could be proven:
8.99/3.86	
8.99/3.86	(0) HASKELL
8.99/3.86	(1) BR [EQUIVALENT, 0 ms]
8.99/3.86	(2) HASKELL
8.99/3.86	(3) COR [EQUIVALENT, 0 ms]
8.99/3.86	(4) HASKELL
8.99/3.86	(5) Narrow [EQUIVALENT, 0 ms]
8.99/3.86	(6) YES
8.99/3.86	
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(0)
8.99/3.86	Obligation:
8.99/3.86	mainModule Main 
8.99/3.86	module Main where {
8.99/3.86	import qualified Prelude;
8.99/3.86	data Tup2 b a = Tup2 b a ;
8.99/3.86	
8.99/3.86	snd :: Tup2 a b  ->  b;
8.99/3.86	snd (Tup2 vv y) = y;
8.99/3.86	
8.99/3.86	}
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(1) BR (EQUIVALENT)
8.99/3.86	Replaced joker patterns by fresh variables and removed binding patterns.
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(2)
8.99/3.86	Obligation:
8.99/3.86	mainModule Main 
8.99/3.86	module Main where {
8.99/3.86	import qualified Prelude;
8.99/3.86	data Tup2 a b = Tup2 a b ;
8.99/3.86	
8.99/3.86	snd :: Tup2 b a  ->  a;
8.99/3.86	snd (Tup2 vv y) = y;
8.99/3.86	
8.99/3.86	}
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(3) COR (EQUIVALENT)
8.99/3.86	Cond Reductions:
8.99/3.86	The following Function with conditions
8.99/3.86	"undefined |Falseundefined;
8.99/3.86	"
8.99/3.86	is transformed to
8.99/3.86	"undefined  = undefined1;
8.99/3.86	"
8.99/3.86	"undefined0 True = undefined;
8.99/3.86	"
8.99/3.86	"undefined1  = undefined0 False;
8.99/3.86	"
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(4)
8.99/3.86	Obligation:
8.99/3.86	mainModule Main 
8.99/3.86	module Main where {
8.99/3.86	import qualified Prelude;
8.99/3.86	data Tup2 a b = Tup2 a b ;
8.99/3.86	
8.99/3.86	snd :: Tup2 b a  ->  a;
8.99/3.86	snd (Tup2 vv y) = y;
8.99/3.86	
8.99/3.86	}
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(5) Narrow (EQUIVALENT)
8.99/3.86	Haskell To QDPs
8.99/3.86	
8.99/3.86	digraph dp_graph {
8.99/3.86	node [outthreshold=100, inthreshold=100];1[label="snd",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.99/3.86	3[label="snd vy3",fontsize=16,color="burlywood",shape="triangle"];6[label="vy3/Tup2 vy30 vy31",fontsize=10,color="white",style="solid",shape="box"];3 -> 6[label="",style="solid", color="burlywood", weight=9];
8.99/3.86	6 -> 4[label="",style="solid", color="burlywood", weight=3];
8.99/3.86	4[label="snd (Tup2 vy30 vy31)",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
8.99/3.86	5[label="vy31",fontsize=16,color="green",shape="box"];}
8.99/3.86	
8.99/3.86	----------------------------------------
8.99/3.86	
8.99/3.86	(6)
8.99/3.86	YES
9.29/3.90	EOF