7.79/3.59	YES
9.34/4.03	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.34/4.03	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.34/4.03	
9.34/4.03	
9.34/4.03	H-Termination with start terms of the given HASKELL could be proven:
9.34/4.03	
9.34/4.03	(0) HASKELL
9.34/4.03	(1) BR [EQUIVALENT, 0 ms]
9.34/4.03	(2) HASKELL
9.34/4.03	(3) COR [EQUIVALENT, 0 ms]
9.34/4.03	(4) HASKELL
9.34/4.03	(5) Narrow [EQUIVALENT, 28 ms]
9.34/4.03	(6) YES
9.34/4.03	
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(0)
9.34/4.03	Obligation:
9.34/4.03	mainModule Main 
9.34/4.03	module Main where {
9.34/4.03	import qualified Prelude;
9.34/4.03	}
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(1) BR (EQUIVALENT)
9.34/4.03	Replaced joker patterns by fresh variables and removed binding patterns.
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(2)
9.34/4.03	Obligation:
9.34/4.03	mainModule Main 
9.34/4.03	module Main where {
9.34/4.03	import qualified Prelude;
9.34/4.03	}
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(3) COR (EQUIVALENT)
9.34/4.03	Cond Reductions:
9.34/4.03	The following Function with conditions
9.34/4.03	"undefined |Falseundefined;
9.34/4.03	"
9.34/4.03	is transformed to
9.34/4.03	"undefined  = undefined1;
9.34/4.03	"
9.34/4.03	"undefined0 True = undefined;
9.34/4.03	"
9.34/4.03	"undefined1  = undefined0 False;
9.34/4.03	"
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(4)
9.34/4.03	Obligation:
9.34/4.03	mainModule Main 
9.34/4.03	module Main where {
9.34/4.03	import qualified Prelude;
9.34/4.03	}
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(5) Narrow (EQUIVALENT)
9.34/4.03	Haskell To QDPs
9.34/4.03	
9.34/4.03	digraph dp_graph {
9.34/4.03	node [outthreshold=100, inthreshold=100];1[label="negate",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.34/4.03	3[label="negate vx3",fontsize=16,color="blue",shape="box"];35[label="negate :: Integer -> Integer",fontsize=10,color="white",style="solid",shape="box"];3 -> 35[label="",style="solid", color="blue", weight=9];
9.34/4.03	35 -> 4[label="",style="solid", color="blue", weight=3];
9.34/4.03	36[label="negate :: Double -> Double",fontsize=10,color="white",style="solid",shape="box"];3 -> 36[label="",style="solid", color="blue", weight=9];
9.34/4.03	36 -> 5[label="",style="solid", color="blue", weight=3];
9.34/4.03	37[label="negate :: (Ratio a) -> Ratio a",fontsize=10,color="white",style="solid",shape="box"];3 -> 37[label="",style="solid", color="blue", weight=9];
9.34/4.03	37 -> 6[label="",style="solid", color="blue", weight=3];
9.34/4.03	38[label="negate :: Float -> Float",fontsize=10,color="white",style="solid",shape="box"];3 -> 38[label="",style="solid", color="blue", weight=9];
9.34/4.03	38 -> 7[label="",style="solid", color="blue", weight=3];
9.34/4.03	39[label="negate :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];3 -> 39[label="",style="solid", color="blue", weight=9];
9.34/4.03	39 -> 8[label="",style="solid", color="blue", weight=3];
9.34/4.03	4[label="negate vx3",fontsize=16,color="burlywood",shape="triangle"];40[label="vx3/Integer vx30",fontsize=10,color="white",style="solid",shape="box"];4 -> 40[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	40 -> 9[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	5[label="negate vx3",fontsize=16,color="black",shape="box"];5 -> 10[label="",style="solid", color="black", weight=3];
9.34/4.03	6[label="negate vx3",fontsize=16,color="burlywood",shape="box"];41[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];6 -> 41[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	41 -> 11[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	7[label="negate vx3",fontsize=16,color="black",shape="box"];7 -> 12[label="",style="solid", color="black", weight=3];
9.34/4.03	8[label="negate vx3",fontsize=16,color="black",shape="triangle"];8 -> 13[label="",style="solid", color="black", weight=3];
9.34/4.03	9[label="negate Integer vx30",fontsize=16,color="black",shape="box"];9 -> 14[label="",style="solid", color="black", weight=3];
9.34/4.03	10[label="primNegDouble vx3",fontsize=16,color="burlywood",shape="box"];42[label="vx3/Double vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];10 -> 42[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	42 -> 15[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	11[label="negate vx30 :% vx31",fontsize=16,color="black",shape="box"];11 -> 16[label="",style="solid", color="black", weight=3];
9.34/4.03	12[label="primNegFloat vx3",fontsize=16,color="burlywood",shape="box"];43[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];12 -> 43[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	43 -> 17[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	13[label="primNegInt vx3",fontsize=16,color="burlywood",shape="triangle"];44[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];13 -> 44[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	44 -> 18[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	45[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];13 -> 45[label="",style="solid", color="burlywood", weight=9];
9.34/4.03	45 -> 19[label="",style="solid", color="burlywood", weight=3];
9.34/4.03	14[label="Integer (primNegInt vx30)",fontsize=16,color="green",shape="box"];14 -> 20[label="",style="dashed", color="green", weight=3];
9.34/4.03	15[label="primNegDouble (Double vx30 vx31)",fontsize=16,color="black",shape="box"];15 -> 21[label="",style="solid", color="black", weight=3];
9.34/4.03	16[label="(negate vx30) :% vx31",fontsize=16,color="green",shape="box"];16 -> 22[label="",style="dashed", color="green", weight=3];
9.34/4.03	17[label="primNegFloat (Float vx30 vx31)",fontsize=16,color="black",shape="box"];17 -> 23[label="",style="solid", color="black", weight=3];
9.34/4.03	18[label="primNegInt (Pos vx30)",fontsize=16,color="black",shape="box"];18 -> 24[label="",style="solid", color="black", weight=3];
9.34/4.03	19[label="primNegInt (Neg vx30)",fontsize=16,color="black",shape="box"];19 -> 25[label="",style="solid", color="black", weight=3];
9.34/4.03	20 -> 13[label="",style="dashed", color="red", weight=0];
9.34/4.03	20[label="primNegInt vx30",fontsize=16,color="magenta"];20 -> 26[label="",style="dashed", color="magenta", weight=3];
9.34/4.03	21[label="Double (`negate` vx30) vx31",fontsize=16,color="green",shape="box"];21 -> 27[label="",style="dashed", color="green", weight=3];
9.34/4.03	22[label="negate vx30",fontsize=16,color="blue",shape="box"];46[label="negate :: Integer -> Integer",fontsize=10,color="white",style="solid",shape="box"];22 -> 46[label="",style="solid", color="blue", weight=9];
9.34/4.03	46 -> 28[label="",style="solid", color="blue", weight=3];
9.34/4.03	47[label="negate :: Int -> Int",fontsize=10,color="white",style="solid",shape="box"];22 -> 47[label="",style="solid", color="blue", weight=9];
9.34/4.03	47 -> 29[label="",style="solid", color="blue", weight=3];
9.34/4.03	23[label="Float (`negate` vx30) vx31",fontsize=16,color="green",shape="box"];23 -> 30[label="",style="dashed", color="green", weight=3];
9.34/4.03	24[label="Neg vx30",fontsize=16,color="green",shape="box"];25[label="Pos vx30",fontsize=16,color="green",shape="box"];26[label="vx30",fontsize=16,color="green",shape="box"];27 -> 8[label="",style="dashed", color="red", weight=0];
9.34/4.03	27[label="`negate` vx30",fontsize=16,color="magenta"];27 -> 31[label="",style="dashed", color="magenta", weight=3];
9.34/4.03	28 -> 4[label="",style="dashed", color="red", weight=0];
9.34/4.03	28[label="negate vx30",fontsize=16,color="magenta"];28 -> 32[label="",style="dashed", color="magenta", weight=3];
9.34/4.03	29 -> 8[label="",style="dashed", color="red", weight=0];
9.34/4.03	29[label="negate vx30",fontsize=16,color="magenta"];29 -> 33[label="",style="dashed", color="magenta", weight=3];
9.34/4.03	30 -> 8[label="",style="dashed", color="red", weight=0];
9.34/4.03	30[label="`negate` vx30",fontsize=16,color="magenta"];30 -> 34[label="",style="dashed", color="magenta", weight=3];
9.34/4.03	31[label="vx30",fontsize=16,color="green",shape="box"];32[label="vx30",fontsize=16,color="green",shape="box"];33[label="vx30",fontsize=16,color="green",shape="box"];34[label="vx30",fontsize=16,color="green",shape="box"];}
9.34/4.03	
9.34/4.03	----------------------------------------
9.34/4.03	
9.34/4.03	(6)
9.34/4.03	YES
9.50/4.05	EOF