7.51/3.47	YES
9.10/3.91	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.10/3.91	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.10/3.91	
9.10/3.91	
9.10/3.91	H-Termination with start terms of the given HASKELL could be proven:
9.10/3.91	
9.10/3.91	(0) HASKELL
9.10/3.91	(1) BR [EQUIVALENT, 0 ms]
9.10/3.91	(2) HASKELL
9.10/3.91	(3) COR [EQUIVALENT, 0 ms]
9.10/3.91	(4) HASKELL
9.10/3.91	(5) Narrow [EQUIVALENT, 0 ms]
9.10/3.91	(6) YES
9.10/3.91	
9.10/3.91	
9.10/3.91	----------------------------------------
9.10/3.91	
9.10/3.91	(0)
9.10/3.91	Obligation:
9.10/3.91	mainModule Main 
9.10/3.91	module Main where {
9.10/3.91	import qualified Prelude;
9.10/3.91	data Ordering = LT  | EQ  | GT ;
9.10/3.91	
9.10/3.91	minBoundOrdering :: Ordering;
9.10/3.91	minBoundOrdering = LT;
9.10/3.91	
9.10/3.91	}
9.10/3.91	
9.10/3.91	----------------------------------------
9.10/3.91	
9.10/3.91	(1) BR (EQUIVALENT)
9.10/3.91	Replaced joker patterns by fresh variables and removed binding patterns.
9.10/3.91	----------------------------------------
9.10/3.91	
9.10/3.91	(2)
9.10/3.91	Obligation:
9.10/3.91	mainModule Main 
9.10/3.91	module Main where {
9.10/3.91	import qualified Prelude;
9.10/3.91	data Ordering = LT  | EQ  | GT ;
9.10/3.91	
9.10/3.91	minBoundOrdering :: Ordering;
9.10/3.91	minBoundOrdering = LT;
9.10/3.91	
9.10/3.91	}
9.10/3.91	
9.10/3.91	----------------------------------------
9.10/3.91	
9.10/3.91	(3) COR (EQUIVALENT)
9.10/3.91	Cond Reductions:
9.10/3.91	The following Function with conditions
9.10/3.92	"undefined |Falseundefined;
9.10/3.92	"
9.10/3.92	is transformed to
9.10/3.92	"undefined  = undefined1;
9.10/3.92	"
9.10/3.92	"undefined0 True = undefined;
9.10/3.92	"
9.10/3.92	"undefined1  = undefined0 False;
9.10/3.92	"
9.10/3.92	
9.10/3.92	----------------------------------------
9.10/3.92	
9.10/3.92	(4)
9.10/3.92	Obligation:
9.10/3.92	mainModule Main 
9.10/3.92	module Main where {
9.10/3.92	import qualified Prelude;
9.10/3.92	data Ordering = LT  | EQ  | GT ;
9.10/3.92	
9.10/3.92	minBoundOrdering :: Ordering;
9.10/3.92	minBoundOrdering = LT;
9.10/3.92	
9.10/3.92	}
9.10/3.92	
9.10/3.92	----------------------------------------
9.10/3.92	
9.10/3.92	(5) Narrow (EQUIVALENT)
9.10/3.92	Haskell To QDPs
9.10/3.92	
9.10/3.92	digraph dp_graph {
9.10/3.92	node [outthreshold=100, inthreshold=100];1[label="minBoundOrdering",fontsize=16,color="black",shape="box"];1 -> 3[label="",style="solid", color="black", weight=3];
9.10/3.92	3[label="LT",fontsize=16,color="green",shape="box"];}
9.10/3.92	
9.10/3.92	----------------------------------------
9.10/3.92	
9.10/3.92	(6)
9.10/3.92	YES
9.10/3.95	EOF