7.50/3.45	YES
9.49/3.93	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.49/3.93	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.49/3.93	
9.49/3.93	
9.49/3.93	H-Termination with start terms of the given HASKELL could be proven:
9.49/3.93	
9.49/3.93	(0) HASKELL
9.49/3.93	(1) BR [EQUIVALENT, 0 ms]
9.49/3.93	(2) HASKELL
9.49/3.93	(3) COR [EQUIVALENT, 0 ms]
9.49/3.93	(4) HASKELL
9.49/3.93	(5) Narrow [EQUIVALENT, 0 ms]
9.49/3.93	(6) YES
9.49/3.93	
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(0)
9.49/3.93	Obligation:
9.49/3.93	mainModule Main 
9.49/3.93	module Main where {
9.49/3.93	import qualified Prelude;
9.49/3.93	}
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(1) BR (EQUIVALENT)
9.49/3.93	Replaced joker patterns by fresh variables and removed binding patterns.
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(2)
9.49/3.93	Obligation:
9.49/3.93	mainModule Main 
9.49/3.93	module Main where {
9.49/3.93	import qualified Prelude;
9.49/3.93	}
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(3) COR (EQUIVALENT)
9.49/3.93	Cond Reductions:
9.49/3.93	The following Function with conditions
9.49/3.93	"undefined |Falseundefined;
9.49/3.93	"
9.49/3.93	is transformed to
9.49/3.93	"undefined  = undefined1;
9.49/3.93	"
9.49/3.93	"undefined0 True = undefined;
9.49/3.93	"
9.49/3.93	"undefined1  = undefined0 False;
9.49/3.93	"
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(4)
9.49/3.93	Obligation:
9.49/3.93	mainModule Main 
9.49/3.93	module Main where {
9.49/3.93	import qualified Prelude;
9.49/3.93	}
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(5) Narrow (EQUIVALENT)
9.49/3.93	Haskell To QDPs
9.49/3.93	
9.49/3.93	digraph dp_graph {
9.49/3.93	node [outthreshold=100, inthreshold=100];1[label="return",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.49/3.93	3[label="return vx3",fontsize=16,color="blue",shape="box"];11[label="return :: a -> [] a",fontsize=10,color="white",style="solid",shape="box"];3 -> 11[label="",style="solid", color="blue", weight=9];
9.49/3.93	11 -> 4[label="",style="solid", color="blue", weight=3];
9.49/3.93	12[label="return :: a -> IO a",fontsize=10,color="white",style="solid",shape="box"];3 -> 12[label="",style="solid", color="blue", weight=9];
9.49/3.93	12 -> 5[label="",style="solid", color="blue", weight=3];
9.49/3.93	13[label="return :: a -> Maybe a",fontsize=10,color="white",style="solid",shape="box"];3 -> 13[label="",style="solid", color="blue", weight=9];
9.49/3.93	13 -> 6[label="",style="solid", color="blue", weight=3];
9.49/3.93	4[label="return vx3",fontsize=16,color="black",shape="box"];4 -> 7[label="",style="solid", color="black", weight=3];
9.49/3.93	5[label="return vx3",fontsize=16,color="black",shape="box"];5 -> 8[label="",style="solid", color="black", weight=3];
9.49/3.93	6[label="return vx3",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3];
9.49/3.93	7[label="vx3 : []",fontsize=16,color="green",shape="box"];8[label="primretIO vx3",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9.49/3.93	9[label="Just vx3",fontsize=16,color="green",shape="box"];10[label="AProVE_IO vx3",fontsize=16,color="green",shape="box"];}
9.49/3.93	
9.49/3.93	----------------------------------------
9.49/3.93	
9.49/3.93	(6)
9.49/3.93	YES
9.49/3.97	EOF