7.54/3.41	YES
8.89/3.83	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.89/3.83	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.89/3.83	
8.89/3.83	
8.89/3.83	H-Termination with start terms of the given HASKELL could be proven:
8.89/3.83	
8.89/3.83	(0) HASKELL
8.89/3.83	(1) BR [EQUIVALENT, 0 ms]
8.89/3.83	(2) HASKELL
8.89/3.83	(3) COR [EQUIVALENT, 0 ms]
8.89/3.83	(4) HASKELL
8.89/3.83	(5) Narrow [EQUIVALENT, 0 ms]
8.89/3.83	(6) YES
8.89/3.83	
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(0)
8.89/3.83	Obligation:
8.89/3.83	mainModule Main 
8.89/3.83	module Main where {
8.89/3.83	import qualified Prelude;
8.89/3.83	}
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(1) BR (EQUIVALENT)
8.89/3.83	Replaced joker patterns by fresh variables and removed binding patterns.
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(2)
8.89/3.83	Obligation:
8.89/3.83	mainModule Main 
8.89/3.83	module Main where {
8.89/3.83	import qualified Prelude;
8.89/3.83	}
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(3) COR (EQUIVALENT)
8.89/3.83	Cond Reductions:
8.89/3.83	The following Function with conditions
8.89/3.83	"undefined |Falseundefined;
8.89/3.83	"
8.89/3.83	is transformed to
8.89/3.83	"undefined  = undefined1;
8.89/3.83	"
8.89/3.83	"undefined0 True = undefined;
8.89/3.83	"
8.89/3.83	"undefined1  = undefined0 False;
8.89/3.83	"
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(4)
8.89/3.83	Obligation:
8.89/3.83	mainModule Main 
8.89/3.83	module Main where {
8.89/3.83	import qualified Prelude;
8.89/3.83	}
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(5) Narrow (EQUIVALENT)
8.89/3.83	Haskell To QDPs
8.89/3.83	
8.89/3.83	digraph dp_graph {
8.89/3.83	node [outthreshold=100, inthreshold=100];1[label="recip",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.89/3.83	3[label="recip 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];
8.89/3.83	6 -> 4[label="",style="solid", color="burlywood", weight=3];
8.89/3.83	4[label="recip (vx30 :% vx31)",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
8.89/3.83	5[label="vx31 :% vx30",fontsize=16,color="green",shape="box"];}
8.89/3.83	
8.89/3.83	----------------------------------------
8.89/3.83	
8.89/3.83	(6)
8.89/3.83	YES
9.03/3.86	EOF