7.82/3.60	YES
10.01/4.13	proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
10.01/4.13	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.01/4.13	
10.01/4.13	
10.01/4.13	H-Termination with start terms of the given HASKELL could be proven:
10.01/4.13	
10.01/4.13	(0) HASKELL
10.01/4.13	(1) BR [EQUIVALENT, 0 ms]
10.01/4.13	(2) HASKELL
10.01/4.13	(3) COR [EQUIVALENT, 0 ms]
10.01/4.13	(4) HASKELL
10.01/4.13	(5) NumRed [SOUND, 0 ms]
10.01/4.13	(6) HASKELL
10.01/4.13	(7) Narrow [EQUIVALENT, 21 ms]
10.01/4.13	(8) YES
10.01/4.13	
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(0)
10.01/4.13	Obligation:
10.01/4.13	mainModule Main 
10.01/4.13	module Main where {
10.01/4.13	import qualified Prelude;
10.01/4.13	}
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(1) BR (EQUIVALENT)
10.01/4.13	Replaced joker patterns by fresh variables and removed binding patterns.
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(2)
10.01/4.13	Obligation:
10.01/4.13	mainModule Main 
10.01/4.13	module Main where {
10.01/4.13	import qualified Prelude;
10.01/4.13	}
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(3) COR (EQUIVALENT)
10.01/4.13	Cond Reductions:
10.01/4.13	The following Function with conditions
10.01/4.13	"undefined |Falseundefined;
10.01/4.13	"
10.01/4.13	is transformed to
10.01/4.13	"undefined  = undefined1;
10.01/4.13	"
10.01/4.13	"undefined0 True = undefined;
10.01/4.13	"
10.01/4.13	"undefined1  = undefined0 False;
10.01/4.13	"
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(4)
10.01/4.13	Obligation:
10.01/4.13	mainModule Main 
10.01/4.13	module Main where {
10.01/4.13	import qualified Prelude;
10.01/4.13	}
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(5) NumRed (SOUND)
10.01/4.13	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(6)
10.01/4.13	Obligation:
10.01/4.13	mainModule Main 
10.01/4.13	module Main where {
10.01/4.13	import qualified Prelude;
10.01/4.13	}
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(7) Narrow (EQUIVALENT)
10.01/4.13	Haskell To QDPs
10.01/4.13	
10.01/4.13	digraph dp_graph {
10.01/4.13	node [outthreshold=100, inthreshold=100];1[label="fromEnum",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.01/4.13	3[label="fromEnum vx3",fontsize=16,color="burlywood",shape="triangle"];10[label="vx3/LT",fontsize=10,color="white",style="solid",shape="box"];3 -> 10[label="",style="solid", color="burlywood", weight=9];
10.01/4.13	10 -> 4[label="",style="solid", color="burlywood", weight=3];
10.01/4.13	11[label="vx3/EQ",fontsize=10,color="white",style="solid",shape="box"];3 -> 11[label="",style="solid", color="burlywood", weight=9];
10.01/4.13	11 -> 5[label="",style="solid", color="burlywood", weight=3];
10.01/4.13	12[label="vx3/GT",fontsize=10,color="white",style="solid",shape="box"];3 -> 12[label="",style="solid", color="burlywood", weight=9];
10.01/4.13	12 -> 6[label="",style="solid", color="burlywood", weight=3];
10.01/4.13	4[label="fromEnum LT",fontsize=16,color="black",shape="box"];4 -> 7[label="",style="solid", color="black", weight=3];
10.01/4.13	5[label="fromEnum EQ",fontsize=16,color="black",shape="box"];5 -> 8[label="",style="solid", color="black", weight=3];
10.01/4.13	6[label="fromEnum GT",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3];
10.01/4.13	7[label="Pos Zero",fontsize=16,color="green",shape="box"];8[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];9[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];}
10.01/4.13	
10.01/4.13	----------------------------------------
10.01/4.13	
10.01/4.13	(8)
10.01/4.13	YES
10.07/5.78	EOF