7.48/3.44	YES
8.90/3.89	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
8.90/3.89	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
8.90/3.89	
8.90/3.89	
8.90/3.89	H-Termination with start terms of the given HASKELL could be proven:
8.90/3.89	
8.90/3.89	(0) HASKELL
8.90/3.89	(1) BR [EQUIVALENT, 0 ms]
8.90/3.89	(2) HASKELL
8.90/3.89	(3) COR [EQUIVALENT, 0 ms]
8.90/3.89	(4) HASKELL
8.90/3.89	(5) Narrow [EQUIVALENT, 0 ms]
8.90/3.89	(6) YES
8.90/3.89	
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(0)
8.90/3.89	Obligation:
8.90/3.89	mainModule Main 
8.90/3.89	module Main where {
8.90/3.89	import qualified Prelude;
8.90/3.89	data MyBool = MyTrue  | MyFalse ;
8.90/3.89	
8.90/3.89	pePe :: MyBool  ->  MyBool  ->  MyBool;
8.90/3.89	pePe MyFalse x = x;
8.90/3.89	pePe MyTrue x = MyTrue;
8.90/3.89	
8.90/3.89	}
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(1) BR (EQUIVALENT)
8.90/3.89	Replaced joker patterns by fresh variables and removed binding patterns.
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(2)
8.90/3.89	Obligation:
8.90/3.89	mainModule Main 
8.90/3.89	module Main where {
8.90/3.89	import qualified Prelude;
8.90/3.89	data MyBool = MyTrue  | MyFalse ;
8.90/3.89	
8.90/3.89	pePe :: MyBool  ->  MyBool  ->  MyBool;
8.90/3.89	pePe MyFalse x = x;
8.90/3.89	pePe MyTrue x = MyTrue;
8.90/3.89	
8.90/3.89	}
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(3) COR (EQUIVALENT)
8.90/3.89	Cond Reductions:
8.90/3.89	The following Function with conditions
8.90/3.89	"undefined |Falseundefined;
8.90/3.89	"
8.90/3.89	is transformed to
8.90/3.89	"undefined  = undefined1;
8.90/3.89	"
8.90/3.89	"undefined0 True = undefined;
8.90/3.89	"
8.90/3.89	"undefined1  = undefined0 False;
8.90/3.89	"
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(4)
8.90/3.89	Obligation:
8.90/3.89	mainModule Main 
8.90/3.89	module Main where {
8.90/3.89	import qualified Prelude;
8.90/3.89	data MyBool = MyTrue  | MyFalse ;
8.90/3.89	
8.90/3.89	pePe :: MyBool  ->  MyBool  ->  MyBool;
8.90/3.89	pePe MyFalse x = x;
8.90/3.89	pePe MyTrue x = MyTrue;
8.90/3.89	
8.90/3.89	}
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(5) Narrow (EQUIVALENT)
8.90/3.89	Haskell To QDPs
8.90/3.89	
8.90/3.89	digraph dp_graph {
8.90/3.89	node [outthreshold=100, inthreshold=100];1[label="pePe",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
8.90/3.89	3[label="pePe vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
8.90/3.89	4[label="pePe vx3 vx4",fontsize=16,color="burlywood",shape="triangle"];9[label="vx3/MyTrue",fontsize=10,color="white",style="solid",shape="box"];4 -> 9[label="",style="solid", color="burlywood", weight=9];
8.90/3.89	9 -> 5[label="",style="solid", color="burlywood", weight=3];
8.90/3.89	10[label="vx3/MyFalse",fontsize=10,color="white",style="solid",shape="box"];4 -> 10[label="",style="solid", color="burlywood", weight=9];
8.90/3.89	10 -> 6[label="",style="solid", color="burlywood", weight=3];
8.90/3.89	5[label="pePe MyTrue vx4",fontsize=16,color="black",shape="box"];5 -> 7[label="",style="solid", color="black", weight=3];
8.90/3.89	6[label="pePe MyFalse vx4",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
8.90/3.89	7[label="MyTrue",fontsize=16,color="green",shape="box"];8[label="vx4",fontsize=16,color="green",shape="box"];}
8.90/3.89	
8.90/3.89	----------------------------------------
8.90/3.89	
8.90/3.89	(6)
8.90/3.89	YES
9.10/3.92	EOF