7.69/3.51	YES
9.14/3.94	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.14/3.94	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.14/3.94	
9.14/3.94	
9.14/3.94	H-Termination with start terms of the given HASKELL could be proven:
9.14/3.94	
9.14/3.94	(0) HASKELL
9.14/3.94	(1) BR [EQUIVALENT, 0 ms]
9.14/3.94	(2) HASKELL
9.14/3.94	(3) COR [EQUIVALENT, 0 ms]
9.14/3.94	(4) HASKELL
9.14/3.94	(5) Narrow [EQUIVALENT, 20 ms]
9.14/3.94	(6) YES
9.14/3.94	
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(0)
9.14/3.94	Obligation:
9.14/3.94	mainModule Main 
9.14/3.94	module Main where {
9.14/3.94	import qualified Prelude;
9.14/3.94	}
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(1) BR (EQUIVALENT)
9.14/3.94	Replaced joker patterns by fresh variables and removed binding patterns.
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(2)
9.14/3.94	Obligation:
9.14/3.94	mainModule Main 
9.14/3.94	module Main where {
9.14/3.94	import qualified Prelude;
9.14/3.94	}
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(3) COR (EQUIVALENT)
9.14/3.94	Cond Reductions:
9.14/3.94	The following Function with conditions
9.14/3.94	"undefined |Falseundefined;
9.14/3.94	"
9.14/3.94	is transformed to
9.14/3.94	"undefined  = undefined1;
9.14/3.94	"
9.14/3.94	"undefined0 True = undefined;
9.14/3.94	"
9.14/3.94	"undefined1  = undefined0 False;
9.14/3.94	"
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(4)
9.14/3.94	Obligation:
9.14/3.94	mainModule Main 
9.14/3.94	module Main where {
9.14/3.94	import qualified Prelude;
9.14/3.94	}
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(5) Narrow (EQUIVALENT)
9.14/3.94	Haskell To QDPs
9.14/3.94	
9.14/3.94	digraph dp_graph {
9.14/3.94	node [outthreshold=100, inthreshold=100];1[label="(<=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.14/3.94	3[label="(<=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.14/3.94	4[label="(<=) vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];26[label="vx3/LT",fontsize=10,color="white",style="solid",shape="box"];4 -> 26[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	26 -> 5[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	27[label="vx3/EQ",fontsize=10,color="white",style="solid",shape="box"];4 -> 27[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	27 -> 6[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	28[label="vx3/GT",fontsize=10,color="white",style="solid",shape="box"];4 -> 28[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	28 -> 7[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	5[label="(<=) LT vx4",fontsize=16,color="burlywood",shape="box"];29[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];5 -> 29[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	29 -> 8[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	30[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];5 -> 30[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	30 -> 9[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	31[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];5 -> 31[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	31 -> 10[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	6[label="(<=) EQ vx4",fontsize=16,color="burlywood",shape="box"];32[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];6 -> 32[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	32 -> 11[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	33[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];6 -> 33[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	33 -> 12[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	34[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];6 -> 34[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	34 -> 13[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	7[label="(<=) GT vx4",fontsize=16,color="burlywood",shape="box"];35[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];7 -> 35[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	35 -> 14[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	36[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];7 -> 36[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	36 -> 15[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	37[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];7 -> 37[label="",style="solid", color="burlywood", weight=9];
9.14/3.94	37 -> 16[label="",style="solid", color="burlywood", weight=3];
9.14/3.94	8[label="(<=) LT LT",fontsize=16,color="black",shape="box"];8 -> 17[label="",style="solid", color="black", weight=3];
9.14/3.94	9[label="(<=) LT EQ",fontsize=16,color="black",shape="box"];9 -> 18[label="",style="solid", color="black", weight=3];
9.14/3.94	10[label="(<=) LT GT",fontsize=16,color="black",shape="box"];10 -> 19[label="",style="solid", color="black", weight=3];
9.14/3.94	11[label="(<=) EQ LT",fontsize=16,color="black",shape="box"];11 -> 20[label="",style="solid", color="black", weight=3];
9.14/3.94	12[label="(<=) EQ EQ",fontsize=16,color="black",shape="box"];12 -> 21[label="",style="solid", color="black", weight=3];
9.14/3.94	13[label="(<=) EQ GT",fontsize=16,color="black",shape="box"];13 -> 22[label="",style="solid", color="black", weight=3];
9.14/3.94	14[label="(<=) GT LT",fontsize=16,color="black",shape="box"];14 -> 23[label="",style="solid", color="black", weight=3];
9.14/3.94	15[label="(<=) GT EQ",fontsize=16,color="black",shape="box"];15 -> 24[label="",style="solid", color="black", weight=3];
9.14/3.94	16[label="(<=) GT GT",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3];
9.14/3.94	17[label="True",fontsize=16,color="green",shape="box"];18[label="True",fontsize=16,color="green",shape="box"];19[label="True",fontsize=16,color="green",shape="box"];20[label="False",fontsize=16,color="green",shape="box"];21[label="True",fontsize=16,color="green",shape="box"];22[label="True",fontsize=16,color="green",shape="box"];23[label="False",fontsize=16,color="green",shape="box"];24[label="False",fontsize=16,color="green",shape="box"];25[label="True",fontsize=16,color="green",shape="box"];}
9.14/3.94	
9.14/3.94	----------------------------------------
9.14/3.94	
9.14/3.94	(6)
9.14/3.94	YES
9.20/4.02	EOF