7.25/3.47	YES
8.66/3.88	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.66/3.88	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.66/3.88	
8.66/3.88	
8.66/3.88	H-Termination with start terms of the given HASKELL could be proven:
8.66/3.88	
8.66/3.88	(0) HASKELL
8.66/3.88	(1) BR [EQUIVALENT, 0 ms]
8.66/3.88	(2) HASKELL
8.66/3.88	(3) COR [EQUIVALENT, 0 ms]
8.66/3.88	(4) HASKELL
8.66/3.88	(5) Narrow [EQUIVALENT, 0 ms]
8.66/3.88	(6) YES
8.66/3.88	
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(0)
8.66/3.88	Obligation:
8.66/3.88	mainModule Main 
8.66/3.88	module Main where {
8.66/3.88	import qualified Prelude;
8.66/3.88	data MyBool = MyTrue  | MyFalse ;
8.66/3.88	
8.66/3.88	not :: MyBool  ->  MyBool;
8.66/3.88	not MyTrue = MyFalse;
8.66/3.88	not MyFalse = MyTrue;
8.66/3.88	
8.66/3.88	}
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(1) BR (EQUIVALENT)
8.66/3.88	Replaced joker patterns by fresh variables and removed binding patterns.
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(2)
8.66/3.88	Obligation:
8.66/3.88	mainModule Main 
8.66/3.88	module Main where {
8.66/3.88	import qualified Prelude;
8.66/3.88	data MyBool = MyTrue  | MyFalse ;
8.66/3.88	
8.66/3.88	not :: MyBool  ->  MyBool;
8.66/3.88	not MyTrue = MyFalse;
8.66/3.88	not MyFalse = MyTrue;
8.66/3.88	
8.66/3.88	}
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(3) COR (EQUIVALENT)
8.66/3.88	Cond Reductions:
8.66/3.88	The following Function with conditions
8.66/3.88	"undefined |Falseundefined;
8.66/3.88	"
8.66/3.88	is transformed to
8.66/3.88	"undefined  = undefined1;
8.66/3.88	"
8.66/3.88	"undefined0 True = undefined;
8.66/3.88	"
8.66/3.88	"undefined1  = undefined0 False;
8.66/3.88	"
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(4)
8.66/3.88	Obligation:
8.66/3.88	mainModule Main 
8.66/3.88	module Main where {
8.66/3.88	import qualified Prelude;
8.66/3.88	data MyBool = MyTrue  | MyFalse ;
8.66/3.88	
8.66/3.88	not :: MyBool  ->  MyBool;
8.66/3.88	not MyTrue = MyFalse;
8.66/3.88	not MyFalse = MyTrue;
8.66/3.88	
8.66/3.88	}
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(5) Narrow (EQUIVALENT)
8.66/3.88	Haskell To QDPs
8.66/3.88	
8.66/3.88	digraph dp_graph {
8.66/3.88	node [outthreshold=100, inthreshold=100];1[label="not",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.66/3.88	3[label="not vx3",fontsize=16,color="burlywood",shape="triangle"];8[label="vx3/MyTrue",fontsize=10,color="white",style="solid",shape="box"];3 -> 8[label="",style="solid", color="burlywood", weight=9];
8.66/3.88	8 -> 4[label="",style="solid", color="burlywood", weight=3];
8.66/3.88	9[label="vx3/MyFalse",fontsize=10,color="white",style="solid",shape="box"];3 -> 9[label="",style="solid", color="burlywood", weight=9];
8.66/3.88	9 -> 5[label="",style="solid", color="burlywood", weight=3];
8.66/3.88	4[label="not MyTrue",fontsize=16,color="black",shape="box"];4 -> 6[label="",style="solid", color="black", weight=3];
8.66/3.88	5[label="not MyFalse",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
8.66/3.88	6[label="MyFalse",fontsize=16,color="green",shape="box"];7[label="MyTrue",fontsize=16,color="green",shape="box"];}
8.66/3.88	
8.66/3.88	----------------------------------------
8.66/3.88	
8.66/3.88	(6)
8.66/3.88	YES
8.89/3.95	EOF