7.63/3.53	YES
9.51/4.05	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.51/4.05	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.51/4.05	
9.51/4.05	
9.51/4.05	H-Termination with start terms of the given HASKELL could be proven:
9.51/4.05	
9.51/4.05	(0) HASKELL
9.51/4.05	(1) BR [EQUIVALENT, 0 ms]
9.51/4.05	(2) HASKELL
9.51/4.05	(3) COR [EQUIVALENT, 0 ms]
9.51/4.05	(4) HASKELL
9.51/4.05	(5) NumRed [SOUND, 0 ms]
9.51/4.05	(6) HASKELL
9.51/4.05	(7) Narrow [EQUIVALENT, 22 ms]
9.51/4.05	(8) YES
9.51/4.05	
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(0)
9.51/4.05	Obligation:
9.51/4.05	mainModule Main 
9.51/4.05	module Main where {
9.51/4.05	import qualified Prelude;
9.51/4.05	}
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(1) BR (EQUIVALENT)
9.51/4.05	Replaced joker patterns by fresh variables and removed binding patterns.
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(2)
9.51/4.05	Obligation:
9.51/4.05	mainModule Main 
9.51/4.05	module Main where {
9.51/4.05	import qualified Prelude;
9.51/4.05	}
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(3) COR (EQUIVALENT)
9.51/4.05	Cond Reductions:
9.51/4.05	The following Function with conditions
9.51/4.05	"undefined |Falseundefined;
9.51/4.05	"
9.51/4.05	is transformed to
9.51/4.05	"undefined  = undefined1;
9.51/4.05	"
9.51/4.05	"undefined0 True = undefined;
9.51/4.05	"
9.51/4.05	"undefined1  = undefined0 False;
9.51/4.05	"
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(4)
9.51/4.05	Obligation:
9.51/4.05	mainModule Main 
9.51/4.05	module Main where {
9.51/4.05	import qualified Prelude;
9.51/4.05	}
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(5) NumRed (SOUND)
9.51/4.05	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(6)
9.51/4.05	Obligation:
9.51/4.05	mainModule Main 
9.51/4.05	module Main where {
9.51/4.05	import qualified Prelude;
9.51/4.05	}
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(7) Narrow (EQUIVALENT)
9.51/4.05	Haskell To QDPs
9.51/4.05	
9.51/4.05	digraph dp_graph {
9.51/4.05	node [outthreshold=100, inthreshold=100];1[label="fromEnum",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.51/4.05	3[label="fromEnum vx3",fontsize=16,color="burlywood",shape="triangle"];6[label="vx3/()",fontsize=10,color="white",style="solid",shape="box"];3 -> 6[label="",style="solid", color="burlywood", weight=9];
9.51/4.05	6 -> 4[label="",style="solid", color="burlywood", weight=3];
9.51/4.05	4[label="fromEnum ()",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.51/4.05	5[label="Pos Zero",fontsize=16,color="green",shape="box"];}
9.51/4.05	
9.51/4.05	----------------------------------------
9.51/4.05	
9.51/4.05	(8)
9.51/4.05	YES
9.66/4.10	EOF