8.02/3.60	YES
9.73/4.10	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.73/4.10	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.73/4.10	
9.73/4.10	
9.73/4.10	H-Termination with start terms of the given HASKELL could be proven:
9.73/4.10	
9.73/4.10	(0) HASKELL
9.73/4.10	(1) BR [EQUIVALENT, 0 ms]
9.73/4.10	(2) HASKELL
9.73/4.10	(3) COR [EQUIVALENT, 0 ms]
9.73/4.10	(4) HASKELL
9.73/4.10	(5) NumRed [SOUND, 0 ms]
9.73/4.10	(6) HASKELL
9.73/4.10	(7) Narrow [EQUIVALENT, 24 ms]
9.73/4.10	(8) YES
9.73/4.10	
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(0)
9.73/4.10	Obligation:
9.73/4.10	mainModule Main 
9.73/4.10	module Main where {
9.73/4.10	import qualified Prelude;
9.73/4.10	}
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(1) BR (EQUIVALENT)
9.73/4.10	Replaced joker patterns by fresh variables and removed binding patterns.
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(2)
9.73/4.10	Obligation:
9.73/4.10	mainModule Main 
9.73/4.10	module Main where {
9.73/4.10	import qualified Prelude;
9.73/4.10	}
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(3) COR (EQUIVALENT)
9.73/4.10	Cond Reductions:
9.73/4.10	The following Function with conditions
9.73/4.10	"undefined |Falseundefined;
9.73/4.10	"
9.73/4.10	is transformed to
9.73/4.10	"undefined  = undefined1;
9.73/4.10	"
9.73/4.10	"undefined0 True = undefined;
9.73/4.10	"
9.73/4.10	"undefined1  = undefined0 False;
9.73/4.10	"
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(4)
9.73/4.10	Obligation:
9.73/4.10	mainModule Main 
9.73/4.10	module Main where {
9.73/4.10	import qualified Prelude;
9.73/4.10	}
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(5) NumRed (SOUND)
9.73/4.10	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(6)
9.73/4.10	Obligation:
9.73/4.10	mainModule Main 
9.73/4.10	module Main where {
9.73/4.10	import qualified Prelude;
9.73/4.10	}
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(7) Narrow (EQUIVALENT)
9.73/4.10	Haskell To QDPs
9.73/4.10	
9.73/4.10	digraph dp_graph {
9.73/4.10	node [outthreshold=100, inthreshold=100];1[label="fromEnum",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.73/4.10	3[label="fromEnum vx3",fontsize=16,color="burlywood",shape="triangle"];8[label="vx3/False",fontsize=10,color="white",style="solid",shape="box"];3 -> 8[label="",style="solid", color="burlywood", weight=9];
9.73/4.10	8 -> 4[label="",style="solid", color="burlywood", weight=3];
9.73/4.10	9[label="vx3/True",fontsize=10,color="white",style="solid",shape="box"];3 -> 9[label="",style="solid", color="burlywood", weight=9];
9.73/4.10	9 -> 5[label="",style="solid", color="burlywood", weight=3];
9.73/4.10	4[label="fromEnum False",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3];
9.73/4.10	5[label="fromEnum True",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
9.73/4.10	6[label="Pos Zero",fontsize=16,color="green",shape="box"];7[label="Pos (Succ Zero)",fontsize=16,color="green",shape="box"];}
9.73/4.10	
9.73/4.10	----------------------------------------
9.73/4.10	
9.73/4.10	(8)
9.73/4.10	YES
9.94/4.14	EOF