7.77/3.47	YES
9.46/4.10	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
9.46/4.10	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.46/4.10	
9.46/4.10	
9.46/4.10	H-Termination with start terms of the given HASKELL could be proven:
9.46/4.10	
9.46/4.10	(0) HASKELL
9.46/4.10	(1) BR [EQUIVALENT, 0 ms]
9.46/4.10	(2) HASKELL
9.46/4.10	(3) COR [EQUIVALENT, 0 ms]
9.46/4.10	(4) HASKELL
9.46/4.10	(5) Narrow [EQUIVALENT, 17 ms]
9.46/4.10	(6) YES
9.46/4.10	
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(0)
9.46/4.10	Obligation:
9.46/4.10	mainModule Main 
9.46/4.10	module Main where {
9.46/4.10	import qualified Prelude;
9.46/4.10	}
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(1) BR (EQUIVALENT)
9.46/4.10	Replaced joker patterns by fresh variables and removed binding patterns.
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(2)
9.46/4.10	Obligation:
9.46/4.10	mainModule Main 
9.46/4.10	module Main where {
9.46/4.10	import qualified Prelude;
9.46/4.10	}
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(3) COR (EQUIVALENT)
9.46/4.10	Cond Reductions:
9.46/4.10	The following Function with conditions
9.46/4.10	"undefined |Falseundefined;
9.46/4.10	"
9.46/4.10	is transformed to
9.46/4.10	"undefined  = undefined1;
9.46/4.10	"
9.46/4.10	"undefined0 True = undefined;
9.46/4.10	"
9.46/4.10	"undefined1  = undefined0 False;
9.46/4.10	"
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(4)
9.46/4.10	Obligation:
9.46/4.10	mainModule Main 
9.46/4.10	module Main where {
9.46/4.10	import qualified Prelude;
9.46/4.10	}
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(5) Narrow (EQUIVALENT)
9.46/4.10	Haskell To QDPs
9.46/4.10	
9.46/4.10	digraph dp_graph {
9.46/4.10	node [outthreshold=100, inthreshold=100];1[label="(/=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.46/4.10	3[label="(/=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.46/4.10	4[label="(/=) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.46/4.10	5[label="not (vx3 == vx4)",fontsize=16,color="burlywood",shape="box"];18[label="vx3/False",fontsize=10,color="white",style="solid",shape="box"];5 -> 18[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	18 -> 6[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	19[label="vx3/True",fontsize=10,color="white",style="solid",shape="box"];5 -> 19[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	19 -> 7[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	6[label="not (False == vx4)",fontsize=16,color="burlywood",shape="box"];20[label="vx4/False",fontsize=10,color="white",style="solid",shape="box"];6 -> 20[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	20 -> 8[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	21[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];6 -> 21[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	21 -> 9[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	7[label="not (True == vx4)",fontsize=16,color="burlywood",shape="box"];22[label="vx4/False",fontsize=10,color="white",style="solid",shape="box"];7 -> 22[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	22 -> 10[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	23[label="vx4/True",fontsize=10,color="white",style="solid",shape="box"];7 -> 23[label="",style="solid", color="burlywood", weight=9];
9.46/4.10	23 -> 11[label="",style="solid", color="burlywood", weight=3];
9.46/4.10	8[label="not (False == False)",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3];
9.46/4.10	9[label="not (False == True)",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3];
9.46/4.10	10[label="not (True == False)",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3];
9.46/4.10	11[label="not (True == True)",fontsize=16,color="black",shape="box"];11 -> 15[label="",style="solid", color="black", weight=3];
9.46/4.10	12[label="not True",fontsize=16,color="black",shape="triangle"];12 -> 16[label="",style="solid", color="black", weight=3];
9.46/4.10	13[label="not False",fontsize=16,color="black",shape="triangle"];13 -> 17[label="",style="solid", color="black", weight=3];
9.46/4.10	14 -> 13[label="",style="dashed", color="red", weight=0];
9.46/4.10	14[label="not False",fontsize=16,color="magenta"];15 -> 12[label="",style="dashed", color="red", weight=0];
9.46/4.10	15[label="not True",fontsize=16,color="magenta"];16[label="False",fontsize=16,color="green",shape="box"];17[label="True",fontsize=16,color="green",shape="box"];}
9.46/4.10	
9.46/4.10	----------------------------------------
9.46/4.10	
9.46/4.10	(6)
9.46/4.10	YES
9.72/4.14	EOF