7.67/3.44	YES
9.49/3.94	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.49/3.94	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.49/3.94	
9.49/3.94	
9.49/3.94	H-Termination with start terms of the given HASKELL could be proven:
9.49/3.94	
9.49/3.94	(0) HASKELL
9.49/3.94	(1) BR [EQUIVALENT, 0 ms]
9.49/3.94	(2) HASKELL
9.49/3.94	(3) COR [EQUIVALENT, 0 ms]
9.49/3.94	(4) HASKELL
9.49/3.94	(5) NumRed [SOUND, 0 ms]
9.49/3.94	(6) HASKELL
9.49/3.94	(7) Narrow [EQUIVALENT, 25 ms]
9.49/3.94	(8) YES
9.49/3.94	
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(0)
9.49/3.94	Obligation:
9.49/3.94	mainModule Main 
9.49/3.94	module Main where {
9.49/3.94	import qualified Prelude;
9.49/3.94	}
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(1) BR (EQUIVALENT)
9.49/3.94	Replaced joker patterns by fresh variables and removed binding patterns.
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(2)
9.49/3.94	Obligation:
9.49/3.94	mainModule Main 
9.49/3.94	module Main where {
9.49/3.94	import qualified Prelude;
9.49/3.94	}
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(3) COR (EQUIVALENT)
9.49/3.94	Cond Reductions:
9.49/3.94	The following Function with conditions
9.49/3.94	"undefined |Falseundefined;
9.49/3.94	"
9.49/3.94	is transformed to
9.49/3.94	"undefined  = undefined1;
9.49/3.94	"
9.49/3.94	"undefined0 True = undefined;
9.49/3.94	"
9.49/3.94	"undefined1  = undefined0 False;
9.49/3.94	"
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(4)
9.49/3.94	Obligation:
9.49/3.94	mainModule Main 
9.49/3.94	module Main where {
9.49/3.94	import qualified Prelude;
9.49/3.94	}
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(5) NumRed (SOUND)
9.49/3.94	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(6)
9.49/3.94	Obligation:
9.49/3.94	mainModule Main 
9.49/3.94	module Main where {
9.49/3.94	import qualified Prelude;
9.49/3.94	}
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(7) Narrow (EQUIVALENT)
9.49/3.94	Haskell To QDPs
9.49/3.94	
9.49/3.94	digraph dp_graph {
9.49/3.94	node [outthreshold=100, inthreshold=100];1[label="floatDigits",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.49/3.94	3[label="floatDigits vy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
9.49/3.94	4[label="primFloatDigits",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
9.49/3.94	5[label="Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))))))))))))))",fontsize=16,color="green",shape="box"];}
9.49/3.94	
9.49/3.94	----------------------------------------
9.49/3.94	
9.49/3.94	(8)
9.49/3.94	YES
9.49/3.98	EOF