9.38/3.94	YES
11.52/4.52	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
11.52/4.52	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
11.52/4.52	
11.52/4.52	
11.52/4.52	H-Termination with start terms of the given HASKELL could be proven:
11.52/4.52	
11.52/4.52	(0) HASKELL
11.52/4.52	(1) LR [EQUIVALENT, 0 ms]
11.52/4.52	(2) HASKELL
11.52/4.52	(3) BR [EQUIVALENT, 0 ms]
11.52/4.52	(4) HASKELL
11.52/4.52	(5) COR [EQUIVALENT, 0 ms]
11.52/4.52	(6) HASKELL
11.52/4.52	(7) Narrow [SOUND, 0 ms]
11.52/4.52	(8) AND
11.52/4.52	    (9) QDP
11.52/4.52	        (10) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.52/4.52	        (11) YES
11.52/4.52	    (12) QDP
11.52/4.52	        (13) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.52/4.52	        (14) YES
11.52/4.52	    (15) QDP
11.52/4.52	        (16) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.52/4.52	        (17) YES
11.52/4.52	    (18) QDP
11.52/4.52	        (19) QDPSizeChangeProof [EQUIVALENT, 0 ms]
11.52/4.52	        (20) YES
11.52/4.52	
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(0)
11.52/4.52	Obligation:
11.52/4.52	mainModule Main 
11.52/4.52	module Maybe where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Main where {
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Monad where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Prelude;
11.52/4.52	liftM3 :: Monad c => (e  ->  b  ->  a  ->  d)  ->  c e  ->  c b  ->  c a  ->  c d;
11.52/4.52	liftM3 f m1 m2 m3 = m1 >>= (\x1 ->m2 >>= (\x2 ->m3 >>= (\x3 ->return (f x1 x2 x3))));
11.52/4.52	
11.52/4.52	}
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(1) LR (EQUIVALENT)
11.52/4.52	Lambda Reductions:
11.52/4.52	The following Lambda expression
11.52/4.52	"\x3->return (f x1 x2 x3)"
11.52/4.52	is transformed to
11.52/4.52	"liftM30 f x1 x2 x3 = return (f x1 x2 x3);
11.52/4.52	"
11.52/4.52	The following Lambda expression
11.52/4.52	"\x2->m3 >>= liftM30 f x1 x2"
11.52/4.52	is transformed to
11.52/4.52	"liftM31 m3 f x1 x2 = m3 >>= liftM30 f x1 x2;
11.52/4.52	"
11.52/4.52	The following Lambda expression
11.52/4.52	"\x1->m2 >>= liftM31 m3 f x1"
11.52/4.52	is transformed to
11.52/4.52	"liftM32 m2 m3 f x1 = m2 >>= liftM31 m3 f x1;
11.52/4.52	"
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(2)
11.52/4.52	Obligation:
11.52/4.52	mainModule Main 
11.52/4.52	module Maybe where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Main where {
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Monad where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Prelude;
11.52/4.52	liftM3 :: Monad e => (b  ->  d  ->  c  ->  a)  ->  e b  ->  e d  ->  e c  ->  e a;
11.52/4.52	liftM3 f m1 m2 m3 = m1 >>= liftM32 m2 m3 f;
11.52/4.52	
11.52/4.52	liftM30 f x1 x2 x3 = return (f x1 x2 x3);
11.52/4.52	
11.52/4.52	liftM31 m3 f x1 x2 = m3 >>= liftM30 f x1 x2;
11.52/4.52	
11.52/4.52	liftM32 m2 m3 f x1 = m2 >>= liftM31 m3 f x1;
11.52/4.52	
11.52/4.52	}
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(3) BR (EQUIVALENT)
11.52/4.52	Replaced joker patterns by fresh variables and removed binding patterns.
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(4)
11.52/4.52	Obligation:
11.52/4.52	mainModule Main 
11.52/4.52	module Maybe where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Main where {
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Monad where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Prelude;
11.52/4.52	liftM3 :: Monad b => (a  ->  d  ->  c  ->  e)  ->  b a  ->  b d  ->  b c  ->  b e;
11.52/4.52	liftM3 f m1 m2 m3 = m1 >>= liftM32 m2 m3 f;
11.52/4.52	
11.52/4.52	liftM30 f x1 x2 x3 = return (f x1 x2 x3);
11.52/4.52	
11.52/4.52	liftM31 m3 f x1 x2 = m3 >>= liftM30 f x1 x2;
11.52/4.52	
11.52/4.52	liftM32 m2 m3 f x1 = m2 >>= liftM31 m3 f x1;
11.52/4.52	
11.52/4.52	}
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(5) COR (EQUIVALENT)
11.52/4.52	Cond Reductions:
11.52/4.52	The following Function with conditions
11.52/4.52	"undefined |Falseundefined;
11.52/4.52	"
11.52/4.52	is transformed to
11.52/4.52	"undefined  = undefined1;
11.52/4.52	"
11.52/4.52	"undefined0 True = undefined;
11.52/4.52	"
11.52/4.52	"undefined1  = undefined0 False;
11.52/4.52	"
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(6)
11.52/4.52	Obligation:
11.52/4.52	mainModule Main 
11.52/4.52	module Maybe where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Main where {
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Monad;
11.52/4.52	import qualified Prelude;
11.52/4.52	}
11.52/4.52	module Monad where {
11.52/4.52	import qualified Main;
11.52/4.52	import qualified Maybe;
11.52/4.52	import qualified Prelude;
11.52/4.52	liftM3 :: Monad c => (b  ->  a  ->  d  ->  e)  ->  c b  ->  c a  ->  c d  ->  c e;
11.52/4.52	liftM3 f m1 m2 m3 = m1 >>= liftM32 m2 m3 f;
11.52/4.52	
11.52/4.52	liftM30 f x1 x2 x3 = return (f x1 x2 x3);
11.52/4.52	
11.52/4.52	liftM31 m3 f x1 x2 = m3 >>= liftM30 f x1 x2;
11.52/4.52	
11.52/4.52	liftM32 m2 m3 f x1 = m2 >>= liftM31 m3 f x1;
11.52/4.52	
11.52/4.52	}
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(7) Narrow (SOUND)
11.52/4.52	Haskell To QDPs
11.52/4.52	
11.52/4.52	digraph dp_graph {
11.52/4.52	node [outthreshold=100, inthreshold=100];1[label="Monad.liftM3",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
11.52/4.52	3[label="Monad.liftM3 vy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
11.52/4.52	4[label="Monad.liftM3 vy3 vy4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3];
11.52/4.52	5[label="Monad.liftM3 vy3 vy4 vy5",fontsize=16,color="grey",shape="box"];5 -> 6[label="",style="dashed", color="grey", weight=3];
11.52/4.52	6[label="Monad.liftM3 vy3 vy4 vy5 vy6",fontsize=16,color="black",shape="triangle"];6 -> 7[label="",style="solid", color="black", weight=3];
11.52/4.52	7[label="vy4 >>= Monad.liftM32 vy5 vy6 vy3",fontsize=16,color="burlywood",shape="triangle"];67[label="vy4/vy40 : vy41",fontsize=10,color="white",style="solid",shape="box"];7 -> 67[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	67 -> 8[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	68[label="vy4/[]",fontsize=10,color="white",style="solid",shape="box"];7 -> 68[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	68 -> 9[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	8[label="vy40 : vy41 >>= Monad.liftM32 vy5 vy6 vy3",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
11.52/4.52	9[label="[] >>= Monad.liftM32 vy5 vy6 vy3",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
11.52/4.52	10 -> 27[label="",style="dashed", color="red", weight=0];
11.52/4.52	10[label="Monad.liftM32 vy5 vy6 vy3 vy40 ++ (vy41 >>= Monad.liftM32 vy5 vy6 vy3)",fontsize=16,color="magenta"];10 -> 28[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	10 -> 29[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	11[label="[]",fontsize=16,color="green",shape="box"];28[label="Monad.liftM32 vy5 vy6 vy3 vy40",fontsize=16,color="black",shape="box"];28 -> 38[label="",style="solid", color="black", weight=3];
11.52/4.52	29 -> 7[label="",style="dashed", color="red", weight=0];
11.52/4.52	29[label="vy41 >>= Monad.liftM32 vy5 vy6 vy3",fontsize=16,color="magenta"];29 -> 39[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	27[label="vy8 ++ vy7",fontsize=16,color="burlywood",shape="triangle"];69[label="vy8/vy80 : vy81",fontsize=10,color="white",style="solid",shape="box"];27 -> 69[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	69 -> 40[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	70[label="vy8/[]",fontsize=10,color="white",style="solid",shape="box"];27 -> 70[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	70 -> 41[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	38[label="vy5 >>= Monad.liftM31 vy6 vy3 vy40",fontsize=16,color="burlywood",shape="triangle"];71[label="vy5/vy50 : vy51",fontsize=10,color="white",style="solid",shape="box"];38 -> 71[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	71 -> 42[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	72[label="vy5/[]",fontsize=10,color="white",style="solid",shape="box"];38 -> 72[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	72 -> 43[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	39[label="vy41",fontsize=16,color="green",shape="box"];40[label="(vy80 : vy81) ++ vy7",fontsize=16,color="black",shape="box"];40 -> 44[label="",style="solid", color="black", weight=3];
11.52/4.52	41[label="[] ++ vy7",fontsize=16,color="black",shape="box"];41 -> 45[label="",style="solid", color="black", weight=3];
11.52/4.52	42[label="vy50 : vy51 >>= Monad.liftM31 vy6 vy3 vy40",fontsize=16,color="black",shape="box"];42 -> 46[label="",style="solid", color="black", weight=3];
11.52/4.52	43[label="[] >>= Monad.liftM31 vy6 vy3 vy40",fontsize=16,color="black",shape="box"];43 -> 47[label="",style="solid", color="black", weight=3];
11.52/4.52	44[label="vy80 : vy81 ++ vy7",fontsize=16,color="green",shape="box"];44 -> 48[label="",style="dashed", color="green", weight=3];
11.52/4.52	45[label="vy7",fontsize=16,color="green",shape="box"];46 -> 27[label="",style="dashed", color="red", weight=0];
11.52/4.52	46[label="Monad.liftM31 vy6 vy3 vy40 vy50 ++ (vy51 >>= Monad.liftM31 vy6 vy3 vy40)",fontsize=16,color="magenta"];46 -> 49[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	46 -> 50[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	47[label="[]",fontsize=16,color="green",shape="box"];48 -> 27[label="",style="dashed", color="red", weight=0];
11.52/4.52	48[label="vy81 ++ vy7",fontsize=16,color="magenta"];48 -> 51[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	49[label="Monad.liftM31 vy6 vy3 vy40 vy50",fontsize=16,color="black",shape="box"];49 -> 52[label="",style="solid", color="black", weight=3];
11.52/4.52	50 -> 38[label="",style="dashed", color="red", weight=0];
11.52/4.52	50[label="vy51 >>= Monad.liftM31 vy6 vy3 vy40",fontsize=16,color="magenta"];50 -> 53[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	51[label="vy81",fontsize=16,color="green",shape="box"];52[label="vy6 >>= Monad.liftM30 vy3 vy40 vy50",fontsize=16,color="burlywood",shape="triangle"];73[label="vy6/vy60 : vy61",fontsize=10,color="white",style="solid",shape="box"];52 -> 73[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	73 -> 54[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	74[label="vy6/[]",fontsize=10,color="white",style="solid",shape="box"];52 -> 74[label="",style="solid", color="burlywood", weight=9];
11.52/4.52	74 -> 55[label="",style="solid", color="burlywood", weight=3];
11.52/4.52	53[label="vy51",fontsize=16,color="green",shape="box"];54[label="vy60 : vy61 >>= Monad.liftM30 vy3 vy40 vy50",fontsize=16,color="black",shape="box"];54 -> 56[label="",style="solid", color="black", weight=3];
11.52/4.52	55[label="[] >>= Monad.liftM30 vy3 vy40 vy50",fontsize=16,color="black",shape="box"];55 -> 57[label="",style="solid", color="black", weight=3];
11.52/4.52	56 -> 27[label="",style="dashed", color="red", weight=0];
11.52/4.52	56[label="Monad.liftM30 vy3 vy40 vy50 vy60 ++ (vy61 >>= Monad.liftM30 vy3 vy40 vy50)",fontsize=16,color="magenta"];56 -> 58[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	56 -> 59[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	57[label="[]",fontsize=16,color="green",shape="box"];58[label="Monad.liftM30 vy3 vy40 vy50 vy60",fontsize=16,color="black",shape="box"];58 -> 60[label="",style="solid", color="black", weight=3];
11.52/4.52	59 -> 52[label="",style="dashed", color="red", weight=0];
11.52/4.52	59[label="vy61 >>= Monad.liftM30 vy3 vy40 vy50",fontsize=16,color="magenta"];59 -> 61[label="",style="dashed", color="magenta", weight=3];
11.52/4.52	60[label="return (vy3 vy40 vy50 vy60)",fontsize=16,color="black",shape="box"];60 -> 62[label="",style="solid", color="black", weight=3];
11.52/4.52	61[label="vy61",fontsize=16,color="green",shape="box"];62[label="vy3 vy40 vy50 vy60 : []",fontsize=16,color="green",shape="box"];62 -> 63[label="",style="dashed", color="green", weight=3];
11.52/4.52	63[label="vy3 vy40 vy50 vy60",fontsize=16,color="green",shape="box"];63 -> 64[label="",style="dashed", color="green", weight=3];
11.52/4.52	63 -> 65[label="",style="dashed", color="green", weight=3];
11.52/4.52	63 -> 66[label="",style="dashed", color="green", weight=3];
11.52/4.52	64[label="vy40",fontsize=16,color="green",shape="box"];65[label="vy50",fontsize=16,color="green",shape="box"];66[label="vy60",fontsize=16,color="green",shape="box"];}
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(8)
11.52/4.52	Complex Obligation (AND)
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(9)
11.52/4.52	Obligation:
11.52/4.52	Q DP problem:
11.52/4.52	The TRS P consists of the following rules:
11.52/4.52	
11.52/4.52	   new_gtGtEs(:(vy60, vy61), vy3, vy40, vy50, h, ba, bb, bc) -> new_gtGtEs(vy61, vy3, vy40, vy50, h, ba, bb, bc)
11.52/4.52	
11.52/4.52	R is empty.
11.52/4.52	Q is empty.
11.52/4.52	We have to consider all minimal (P,Q,R)-chains.
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(10) QDPSizeChangeProof (EQUIVALENT)
11.52/4.52	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
11.52/4.52	
11.52/4.52	From the DPs we obtained the following set of size-change graphs:
11.52/4.52	*new_gtGtEs(:(vy60, vy61), vy3, vy40, vy50, h, ba, bb, bc) -> new_gtGtEs(vy61, vy3, vy40, vy50, h, ba, bb, bc)
11.52/4.52	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8
11.52/4.52	
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(11)
11.52/4.52	YES
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(12)
11.52/4.52	Obligation:
11.52/4.52	Q DP problem:
11.52/4.52	The TRS P consists of the following rules:
11.52/4.52	
11.52/4.52	   new_gtGtEs1(:(vy40, vy41), vy5, vy6, vy3, h, ba, bb, bc) -> new_gtGtEs1(vy41, vy5, vy6, vy3, h, ba, bb, bc)
11.52/4.52	
11.52/4.52	R is empty.
11.52/4.52	Q is empty.
11.52/4.52	We have to consider all minimal (P,Q,R)-chains.
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(13) QDPSizeChangeProof (EQUIVALENT)
11.52/4.52	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
11.52/4.52	
11.52/4.52	From the DPs we obtained the following set of size-change graphs:
11.52/4.52	*new_gtGtEs1(:(vy40, vy41), vy5, vy6, vy3, h, ba, bb, bc) -> new_gtGtEs1(vy41, vy5, vy6, vy3, h, ba, bb, bc)
11.52/4.52	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8
11.52/4.52	
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(14)
11.52/4.52	YES
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(15)
11.52/4.52	Obligation:
11.52/4.52	Q DP problem:
11.52/4.52	The TRS P consists of the following rules:
11.52/4.52	
11.52/4.52	   new_gtGtEs0(:(vy50, vy51), vy6, vy3, vy40, h, ba, bb, bc) -> new_gtGtEs0(vy51, vy6, vy3, vy40, h, ba, bb, bc)
11.52/4.52	
11.52/4.52	R is empty.
11.52/4.52	Q is empty.
11.52/4.52	We have to consider all minimal (P,Q,R)-chains.
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(16) QDPSizeChangeProof (EQUIVALENT)
11.52/4.52	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
11.52/4.52	
11.52/4.52	From the DPs we obtained the following set of size-change graphs:
11.52/4.52	*new_gtGtEs0(:(vy50, vy51), vy6, vy3, vy40, h, ba, bb, bc) -> new_gtGtEs0(vy51, vy6, vy3, vy40, h, ba, bb, bc)
11.52/4.52	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8
11.52/4.52	
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(17)
11.52/4.52	YES
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(18)
11.52/4.52	Obligation:
11.52/4.52	Q DP problem:
11.52/4.52	The TRS P consists of the following rules:
11.52/4.52	
11.52/4.52	   new_psPs(:(vy80, vy81), vy7, h) -> new_psPs(vy81, vy7, h)
11.52/4.52	
11.52/4.52	R is empty.
11.52/4.52	Q is empty.
11.52/4.52	We have to consider all minimal (P,Q,R)-chains.
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(19) QDPSizeChangeProof (EQUIVALENT)
11.52/4.52	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
11.52/4.52	
11.52/4.52	From the DPs we obtained the following set of size-change graphs:
11.52/4.52	*new_psPs(:(vy80, vy81), vy7, h) -> new_psPs(vy81, vy7, h)
11.52/4.52	The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
11.52/4.52	
11.52/4.52	
11.52/4.52	----------------------------------------
11.52/4.52	
11.52/4.52	(20)
11.52/4.52	YES
11.79/4.56	EOF