7.40/3.50	YES
8.98/3.94	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
8.98/3.94	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.98/3.94	
8.98/3.94	
8.98/3.94	H-Termination with start terms of the given HASKELL could be proven:
8.98/3.94	
8.98/3.94	(0) HASKELL
8.98/3.94	(1) BR [EQUIVALENT, 0 ms]
8.98/3.94	(2) HASKELL
8.98/3.94	(3) COR [EQUIVALENT, 0 ms]
8.98/3.94	(4) HASKELL
8.98/3.94	(5) Narrow [EQUIVALENT, 0 ms]
8.98/3.94	(6) YES
8.98/3.94	
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(0)
8.98/3.94	Obligation:
8.98/3.94	mainModule Main 
8.98/3.94	module Main where {
8.98/3.94	import qualified Prelude;
8.98/3.94	}
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(1) BR (EQUIVALENT)
8.98/3.94	Replaced joker patterns by fresh variables and removed binding patterns.
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(2)
8.98/3.94	Obligation:
8.98/3.94	mainModule Main 
8.98/3.94	module Main where {
8.98/3.94	import qualified Prelude;
8.98/3.94	}
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(3) COR (EQUIVALENT)
8.98/3.94	Cond Reductions:
8.98/3.94	The following Function with conditions
8.98/3.94	"undefined |Falseundefined;
8.98/3.94	"
8.98/3.94	is transformed to
8.98/3.94	"undefined  = undefined1;
8.98/3.94	"
8.98/3.94	"undefined0 True = undefined;
8.98/3.94	"
8.98/3.94	"undefined1  = undefined0 False;
8.98/3.94	"
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(4)
8.98/3.94	Obligation:
8.98/3.94	mainModule Main 
8.98/3.94	module Main where {
8.98/3.94	import qualified Prelude;
8.98/3.94	}
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(5) Narrow (EQUIVALENT)
8.98/3.94	Haskell To QDPs
8.98/3.94	
8.98/3.94	digraph dp_graph {
8.98/3.94	node [outthreshold=100, inthreshold=100];1[label="numerator",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.98/3.94	3[label="numerator vx3",fontsize=16,color="burlywood",shape="triangle"];6[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];3 -> 6[label="",style="solid", color="burlywood", weight=9];
8.98/3.94	6 -> 4[label="",style="solid", color="burlywood", weight=3];
8.98/3.94	4[label="numerator (vx30 :% vx31)",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
8.98/3.94	5[label="vx30",fontsize=16,color="green",shape="box"];}
8.98/3.94	
8.98/3.94	----------------------------------------
8.98/3.94	
8.98/3.94	(6)
8.98/3.94	YES
9.27/5.71	EOF