7.80/3.65	YES
9.50/4.11	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.50/4.11	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.50/4.11	
9.50/4.11	
9.50/4.11	H-Termination with start terms of the given HASKELL could be proven:
9.50/4.11	
9.50/4.11	(0) HASKELL
9.50/4.11	(1) BR [EQUIVALENT, 0 ms]
9.50/4.11	(2) HASKELL
9.50/4.11	(3) COR [EQUIVALENT, 0 ms]
9.50/4.11	(4) HASKELL
9.50/4.11	(5) Narrow [EQUIVALENT, 24 ms]
9.50/4.11	(6) YES
9.50/4.11	
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(0)
9.50/4.11	Obligation:
9.50/4.11	mainModule Main 
9.50/4.11	module Main where {
9.50/4.11	import qualified Prelude;
9.50/4.11	}
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(1) BR (EQUIVALENT)
9.50/4.11	Replaced joker patterns by fresh variables and removed binding patterns.
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(2)
9.50/4.11	Obligation:
9.50/4.11	mainModule Main 
9.50/4.11	module Main where {
9.50/4.11	import qualified Prelude;
9.50/4.11	}
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(3) COR (EQUIVALENT)
9.50/4.11	Cond Reductions:
9.50/4.11	The following Function with conditions
9.50/4.11	"undefined |Falseundefined;
9.50/4.11	"
9.50/4.11	is transformed to
9.50/4.11	"undefined  = undefined1;
9.50/4.11	"
9.50/4.11	"undefined0 True = undefined;
9.50/4.11	"
9.50/4.11	"undefined1  = undefined0 False;
9.50/4.11	"
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(4)
9.50/4.11	Obligation:
9.50/4.11	mainModule Main 
9.50/4.11	module Main where {
9.50/4.11	import qualified Prelude;
9.50/4.11	}
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(5) Narrow (EQUIVALENT)
9.50/4.11	Haskell To QDPs
9.50/4.11	
9.50/4.11	digraph dp_graph {
9.50/4.11	node [outthreshold=100, inthreshold=100];1[label="pred",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.50/4.11	3[label="pred vx3",fontsize=16,color="burlywood",shape="triangle"];14[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];3 -> 14[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	14 -> 4[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	15[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];3 -> 15[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	15 -> 5[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	4[label="pred (Pos vx30)",fontsize=16,color="burlywood",shape="box"];16[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];4 -> 16[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	16 -> 6[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	17[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];4 -> 17[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	17 -> 7[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	5[label="pred (Neg vx30)",fontsize=16,color="burlywood",shape="box"];18[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];5 -> 18[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	18 -> 8[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	19[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];5 -> 19[label="",style="solid", color="burlywood", weight=9];
9.50/4.11	19 -> 9[label="",style="solid", color="burlywood", weight=3];
9.50/4.11	6[label="pred (Pos (Succ vx300))",fontsize=16,color="black",shape="box"];6 -> 10[label="",style="solid", color="black", weight=3];
9.50/4.11	7[label="pred (Pos Zero)",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3];
9.50/4.11	8[label="pred (Neg (Succ vx300))",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3];
9.50/4.11	9[label="pred (Neg Zero)",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3];
9.50/4.11	10[label="Pos vx300",fontsize=16,color="green",shape="box"];11[label="Neg (Succ Zero)",fontsize=16,color="green",shape="box"];12[label="Neg (Succ (Succ vx300))",fontsize=16,color="green",shape="box"];13[label="Neg (Succ Zero)",fontsize=16,color="green",shape="box"];}
9.50/4.11	
9.50/4.11	----------------------------------------
9.50/4.11	
9.50/4.11	(6)
9.50/4.11	YES
9.50/4.16	EOF