7.66/3.56	YES
9.30/4.03	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.30/4.03	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.30/4.03	
9.30/4.03	
9.30/4.03	H-Termination with start terms of the given HASKELL could be proven:
9.30/4.03	
9.30/4.03	(0) HASKELL
9.30/4.03	(1) BR [EQUIVALENT, 0 ms]
9.30/4.03	(2) HASKELL
9.30/4.03	(3) COR [EQUIVALENT, 0 ms]
9.30/4.03	(4) HASKELL
9.30/4.03	(5) Narrow [EQUIVALENT, 0 ms]
9.30/4.03	(6) YES
9.30/4.03	
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(0)
9.30/4.03	Obligation:
9.30/4.03	mainModule Main 
9.30/4.03	module Maybe where {
9.30/4.03	import qualified Main;
9.30/4.03	import qualified Prelude;
9.30/4.03	isJust :: Maybe a  ->  Bool;
9.30/4.03	isJust Nothing = False;
9.30/4.03	isJust _ = True;
9.30/4.03	
9.30/4.03	}
9.30/4.03	module Main where {
9.30/4.03	import qualified Maybe;
9.30/4.03	import qualified Prelude;
9.30/4.03	}
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(1) BR (EQUIVALENT)
9.30/4.03	Replaced joker patterns by fresh variables and removed binding patterns.
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(2)
9.30/4.03	Obligation:
9.30/4.03	mainModule Main 
9.30/4.03	module Maybe where {
9.30/4.03	import qualified Main;
9.30/4.03	import qualified Prelude;
9.30/4.03	isJust :: Maybe a  ->  Bool;
9.30/4.03	isJust Nothing = False;
9.30/4.03	isJust vy = True;
9.30/4.03	
9.30/4.03	}
9.30/4.03	module Main where {
9.30/4.03	import qualified Maybe;
9.30/4.03	import qualified Prelude;
9.30/4.03	}
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(3) COR (EQUIVALENT)
9.30/4.03	Cond Reductions:
9.30/4.03	The following Function with conditions
9.30/4.03	"undefined |Falseundefined;
9.30/4.03	"
9.30/4.03	is transformed to
9.30/4.03	"undefined  = undefined1;
9.30/4.03	"
9.30/4.03	"undefined0 True = undefined;
9.30/4.03	"
9.30/4.03	"undefined1  = undefined0 False;
9.30/4.03	"
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(4)
9.30/4.03	Obligation:
9.30/4.03	mainModule Main 
9.30/4.03	module Maybe where {
9.30/4.03	import qualified Main;
9.30/4.03	import qualified Prelude;
9.30/4.03	isJust :: Maybe a  ->  Bool;
9.30/4.03	isJust Nothing = False;
9.30/4.03	isJust vy = True;
9.30/4.03	
9.30/4.03	}
9.30/4.03	module Main where {
9.30/4.03	import qualified Maybe;
9.30/4.03	import qualified Prelude;
9.30/4.03	}
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(5) Narrow (EQUIVALENT)
9.30/4.03	Haskell To QDPs
9.30/4.03	
9.30/4.03	digraph dp_graph {
9.30/4.03	node [outthreshold=100, inthreshold=100];1[label="Maybe.isJust",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.30/4.03	3[label="Maybe.isJust vz3",fontsize=16,color="burlywood",shape="triangle"];8[label="vz3/Nothing",fontsize=10,color="white",style="solid",shape="box"];3 -> 8[label="",style="solid", color="burlywood", weight=9];
9.30/4.03	8 -> 4[label="",style="solid", color="burlywood", weight=3];
9.30/4.03	9[label="vz3/Just vz30",fontsize=10,color="white",style="solid",shape="box"];3 -> 9[label="",style="solid", color="burlywood", weight=9];
9.30/4.03	9 -> 5[label="",style="solid", color="burlywood", weight=3];
9.30/4.03	4[label="Maybe.isJust Nothing",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3];
9.30/4.03	5[label="Maybe.isJust (Just vz30)",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
9.30/4.03	6[label="False",fontsize=16,color="green",shape="box"];7[label="True",fontsize=16,color="green",shape="box"];}
9.30/4.03	
9.30/4.03	----------------------------------------
9.30/4.03	
9.30/4.03	(6)
9.30/4.03	YES
9.30/4.07	EOF