7.72/3.46	YES
9.36/3.92	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.36/3.92	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.36/3.92	
9.36/3.92	
9.36/3.92	H-Termination with start terms of the given HASKELL could be proven:
9.36/3.92	
9.36/3.92	(0) HASKELL
9.36/3.92	(1) BR [EQUIVALENT, 0 ms]
9.36/3.92	(2) HASKELL
9.36/3.92	(3) COR [EQUIVALENT, 0 ms]
9.36/3.92	(4) HASKELL
9.36/3.92	(5) Narrow [EQUIVALENT, 33 ms]
9.36/3.92	(6) YES
9.36/3.92	
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(0)
9.36/3.92	Obligation:
9.36/3.92	mainModule Main 
9.36/3.92	module Main where {
9.36/3.92	import qualified Prelude;
9.36/3.92	}
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(1) BR (EQUIVALENT)
9.36/3.92	Replaced joker patterns by fresh variables and removed binding patterns.
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(2)
9.36/3.92	Obligation:
9.36/3.92	mainModule Main 
9.36/3.92	module Main where {
9.36/3.92	import qualified Prelude;
9.36/3.92	}
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(3) COR (EQUIVALENT)
9.36/3.92	Cond Reductions:
9.36/3.92	The following Function with conditions
9.36/3.92	"undefined |Falseundefined;
9.36/3.92	"
9.36/3.92	is transformed to
9.36/3.92	"undefined  = undefined1;
9.36/3.92	"
9.36/3.92	"undefined0 True = undefined;
9.36/3.92	"
9.36/3.92	"undefined1  = undefined0 False;
9.36/3.92	"
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(4)
9.36/3.92	Obligation:
9.36/3.92	mainModule Main 
9.36/3.92	module Main where {
9.36/3.92	import qualified Prelude;
9.36/3.92	}
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(5) Narrow (EQUIVALENT)
9.36/3.92	Haskell To QDPs
9.36/3.92	
9.36/3.92	digraph dp_graph {
9.36/3.92	node [outthreshold=100, inthreshold=100];1[label="fmap",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.36/3.92	3[label="fmap vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.36/3.92	4[label="fmap vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.36/3.92	5[label="vx4 >>= return . vx3",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
9.36/3.92	6[label="primbindIO vx4 (return . vx3)",fontsize=16,color="burlywood",shape="box"];20[label="vx4/IO vx40",fontsize=10,color="white",style="solid",shape="box"];6 -> 20[label="",style="solid", color="burlywood", weight=9];
9.36/3.92	20 -> 7[label="",style="solid", color="burlywood", weight=3];
9.36/3.92	21[label="vx4/AProVE_IO vx40",fontsize=10,color="white",style="solid",shape="box"];6 -> 21[label="",style="solid", color="burlywood", weight=9];
9.36/3.92	21 -> 8[label="",style="solid", color="burlywood", weight=3];
9.36/3.92	22[label="vx4/AProVE_Exception vx40",fontsize=10,color="white",style="solid",shape="box"];6 -> 22[label="",style="solid", color="burlywood", weight=9];
9.36/3.92	22 -> 9[label="",style="solid", color="burlywood", weight=3];
9.36/3.92	23[label="vx4/AProVE_Error vx40",fontsize=10,color="white",style="solid",shape="box"];6 -> 23[label="",style="solid", color="burlywood", weight=9];
9.36/3.92	23 -> 10[label="",style="solid", color="burlywood", weight=3];
9.36/3.92	7[label="primbindIO (IO vx40) (return . vx3)",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3];
9.36/3.92	8[label="primbindIO (AProVE_IO vx40) (return . vx3)",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3];
9.36/3.92	9[label="primbindIO (AProVE_Exception vx40) (return . vx3)",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3];
9.36/3.92	10[label="primbindIO (AProVE_Error vx40) (return . vx3)",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3];
9.36/3.92	11[label="error []",fontsize=16,color="red",shape="box"];12[label="return . vx3",fontsize=16,color="black",shape="box"];12 -> 15[label="",style="solid", color="black", weight=3];
9.36/3.92	13[label="AProVE_Exception vx40",fontsize=16,color="green",shape="box"];14[label="AProVE_Error vx40",fontsize=16,color="green",shape="box"];15[label="return (vx3 vx40)",fontsize=16,color="black",shape="box"];15 -> 16[label="",style="solid", color="black", weight=3];
9.36/3.92	16[label="primretIO (vx3 vx40)",fontsize=16,color="black",shape="box"];16 -> 17[label="",style="solid", color="black", weight=3];
9.36/3.92	17[label="AProVE_IO (vx3 vx40)",fontsize=16,color="green",shape="box"];17 -> 18[label="",style="dashed", color="green", weight=3];
9.36/3.92	18[label="vx3 vx40",fontsize=16,color="green",shape="box"];18 -> 19[label="",style="dashed", color="green", weight=3];
9.36/3.92	19[label="vx40",fontsize=16,color="green",shape="box"];}
9.36/3.92	
9.36/3.92	----------------------------------------
9.36/3.92	
9.36/3.92	(6)
9.36/3.92	YES
9.36/3.96	EOF