272.36/246.22	MAYBE
274.45/246.90	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
274.45/246.90	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
274.45/246.90	
274.45/246.90	
274.45/246.90	H-Termination with start terms of the given HASKELL could not be shown:
274.45/246.90	
274.45/246.90	(0) HASKELL
274.45/246.90	(1) LR [EQUIVALENT, 0 ms]
274.45/246.90	(2) HASKELL
274.45/246.90	(3) CR [EQUIVALENT, 0 ms]
274.45/246.90	(4) HASKELL
274.45/246.90	(5) IFR [EQUIVALENT, 0 ms]
274.45/246.90	(6) HASKELL
274.45/246.90	(7) BR [EQUIVALENT, 0 ms]
274.45/246.90	(8) HASKELL
274.45/246.90	(9) COR [EQUIVALENT, 0 ms]
274.45/246.90	(10) HASKELL
274.45/246.90	(11) LetRed [EQUIVALENT, 0 ms]
274.45/246.90	(12) HASKELL
274.45/246.90	(13) NumRed [SOUND, 33 ms]
274.45/246.90	(14) HASKELL
274.45/246.90	
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(0)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(1) LR (EQUIVALENT)
274.45/246.90	Lambda Reductions:
274.45/246.90	The following Lambda expression
274.45/246.90	"\_->q"
274.45/246.90	is transformed to
274.45/246.90	"gtGt0 q _ = q;
274.45/246.90	"
274.45/246.90	The following Lambda expression
274.45/246.90	"\ab->(a,b)"
274.45/246.90	is transformed to
274.45/246.90	"zip0 a b = (a,b);
274.45/246.90	"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(2)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(3) CR (EQUIVALENT)
274.45/246.90	Case Reductions:
274.45/246.90	The following Case expression
274.45/246.90	"case loc of {
274.45/246.90	[]  -> id;
274.45/246.90	_  -> (showString ('\10' : 'A' : 'c' : 't' : 'i' : 'o' : 'n' : ':' : '\32' : [])) . showString loc}
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showsPrec0 loc [] = id;
274.45/246.90	showsPrec0 loc _ = (showString ('\10' : 'A' : 'c' : 't' : 'i' : 'o' : 'n' : ':' : '\32' : [])) . showString loc;
274.45/246.90	"
274.45/246.90	The following Case expression
274.45/246.90	"case descr of {
274.45/246.90	[]  -> id;
274.45/246.90	_  -> (showString ('\10' : 'R' : 'e' : 'a' : 's' : 'o' : 'n' : ':' : '\32' : [])) . showString descr}
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showsPrec1 descr [] = id;
274.45/246.90	showsPrec1 descr _ = (showString ('\10' : 'R' : 'e' : 'a' : 's' : 'o' : 'n' : ':' : '\32' : [])) . showString descr;
274.45/246.90	"
274.45/246.90	The following Case expression
274.45/246.90	"case mbFile of {
274.45/246.90	Nothing  -> id;
274.45/246.90	Just name  -> (showString ('\10' : 'R' : 'e' : 's' : 'o' : 'u' : 'r' : 'c' : 'e' : ':' : '\32' : [])) . showString name}
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showsPrec2 Nothing = id;
274.45/246.90	showsPrec2 (Just name) = (showString ('\10' : 'R' : 'e' : 's' : 'o' : 'u' : 'r' : 'c' : 'e' : ':' : '\32' : [])) . showString name;
274.45/246.90	"
274.45/246.90	The following Case expression
274.45/246.90	"case x of {
274.45/246.90	IOError_UserError  -> 'U' : 'E' : [];
274.45/246.90	IOError_IllegalError  -> 'I' : 'O' : [];
274.45/246.90	IOError_PermDenied  -> 'P' : 'D' : [];
274.45/246.90	IOError_AlreadyExists  -> 'A' : 'E' : [];
274.45/246.90	IOError_AlreadyInUse  -> 'R' : 'B' : [];
274.45/246.90	IOError_DoesNotExist  -> 'D' : 'N' : 'E' : [];
274.45/246.90	IOError_FullError  -> 'R' : 'E' : [];
274.45/246.90	IOError_EOF  -> 'E' : 'O' : 'F' : [];
274.45/246.90	IOError_WriteError  -> 'W' : 'E' : []}
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"show0 IOError_UserError = 'U' : 'E' : [];
274.45/246.90	show0 IOError_IllegalError = 'I' : 'O' : [];
274.45/246.90	show0 IOError_PermDenied = 'P' : 'D' : [];
274.45/246.90	show0 IOError_AlreadyExists = 'A' : 'E' : [];
274.45/246.90	show0 IOError_AlreadyInUse = 'R' : 'B' : [];
274.45/246.90	show0 IOError_DoesNotExist = 'D' : 'N' : 'E' : [];
274.45/246.90	show0 IOError_FullError = 'R' : 'E' : [];
274.45/246.90	show0 IOError_EOF = 'E' : 'O' : 'F' : [];
274.45/246.90	show0 IOError_WriteError = 'W' : 'E' : [];
274.45/246.90	"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(4)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(5) IFR (EQUIVALENT)
274.45/246.90	If Reductions:
274.45/246.90	The following If expression
274.45/246.90	"if b then (showChar '(') . p . showChar ')' else p"
274.45/246.90	is transformed to
274.45/246.90	"showParen0 p True = (showChar '(') . p . showChar ')';
274.45/246.90	showParen0 p False = p;
274.45/246.90	"
274.45/246.90	The following If expression
274.45/246.90	"if primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
274.45/246.90	is transformed to
274.45/246.90	"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
274.45/246.90	primDivNatS0 x y False = Zero;
274.45/246.90	"
274.45/246.90	The following If expression
274.45/246.90	"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
274.45/246.90	is transformed to
274.45/246.90	"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
274.45/246.90	primModNatS0 x y False = Succ x;
274.45/246.90	"
274.45/246.90	The following If expression
274.45/246.90	"if primGEqNatS x y then primModNatP (primMinusNatS x y) (Succ y) else primMinusNatS y x"
274.45/246.90	is transformed to
274.45/246.90	"primModNatP0 x y True = primModNatP (primMinusNatS x y) (Succ y);
274.45/246.90	primModNatP0 x y False = primMinusNatS y x;
274.45/246.90	"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(6)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(7) BR (EQUIVALENT)
274.45/246.90	Replaced joker patterns by fresh variables and removed binding patterns.
274.45/246.90	
274.45/246.90	Binding Reductions:
274.45/246.90	The bind variable of the following binding Pattern
274.45/246.90	"s@(wz : xu)"
274.45/246.90	is replaced by the following term
274.45/246.90	"wz : xu"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(8)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(9) COR (EQUIVALENT)
274.45/246.90	Cond Reductions:
274.45/246.90	The following Function with conditions
274.45/246.90	"showl [] = showChar '"';
274.45/246.90	showl ('"' : cs) = (showString ('\' : '"' : [])) . showl cs;
274.45/246.90	showl (c : cs) = (showLitChar c) . showl cs;
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showl [] = showl3 [];
274.45/246.90	showl (zz : cs) = showl2 (zz : cs);
274.45/246.90	showl (c : cs) = showl0 (c : cs);
274.45/246.90	"
274.45/246.90	"showl0 (c : cs) = (showLitChar c) . showl cs;
274.45/246.90	"
274.45/246.90	"showl1 True (zz : cs) = (showString ('\' : '"' : [])) . showl cs;
274.45/246.90	showl1 vuu vuv = showl0 vuv;
274.45/246.90	"
274.45/246.90	"showl2 (zz : cs) = showl1 (zz == '"') (zz : cs);
274.45/246.90	showl2 vuw = showl0 vuw;
274.45/246.90	"
274.45/246.90	"showl3 [] = showChar '"';
274.45/246.90	showl3 vuy = showl2 vuy;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"showsPrec p ''' = showString (''' : '\' : ''' : ''' : []);
274.45/246.90	showsPrec p c = (showChar ''') . (showLitChar c) . showChar ''';
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showsPrec p vuz = showsPrec5 p vuz;
274.45/246.90	showsPrec p c = showsPrec3 p c;
274.45/246.90	"
274.45/246.90	"showsPrec3 p c = (showChar ''') . (showLitChar c) . showChar ''';
274.45/246.90	"
274.45/246.90	"showsPrec4 True p vuz = showString (''' : '\' : ''' : ''' : []);
274.45/246.90	showsPrec4 vvu vvv vvw = showsPrec3 vvv vvw;
274.45/246.90	"
274.45/246.90	"showsPrec5 p vuz = showsPrec4 (vuz == ''') p vuz;
274.45/246.90	showsPrec5 vvx vvy = showsPrec3 vvx vvy;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"randomSelect (x : []) = x;
274.45/246.90	randomSelect (x : xs)|terminatorrandomSelect xs|otherwisex;
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"randomSelect (x : []) = randomSelect3 (x : []);
274.45/246.90	randomSelect (x : xs) = randomSelect2 (x : xs);
274.45/246.90	"
274.45/246.90	"randomSelect0 x xs True = x;
274.45/246.90	"
274.45/246.90	"randomSelect1 x xs True = randomSelect xs;
274.45/246.90	randomSelect1 x xs False = randomSelect0 x xs otherwise;
274.45/246.90	"
274.45/246.90	"randomSelect2 (x : xs) = randomSelect1 x xs terminator;
274.45/246.90	"
274.45/246.90	"randomSelect3 (x : []) = x;
274.45/246.90	randomSelect3 vww = randomSelect2 vww;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"takeWhile p [] = [];
274.45/246.90	takeWhile p (x : xs)|p xx : takeWhile p xs|otherwise[];
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"takeWhile p [] = takeWhile3 p [];
274.45/246.90	takeWhile p (x : xs) = takeWhile2 p (x : xs);
274.45/246.90	"
274.45/246.90	"takeWhile0 p x xs True = [];
274.45/246.90	"
274.45/246.90	"takeWhile1 p x xs True = x : takeWhile p xs;
274.45/246.90	takeWhile1 p x xs False = takeWhile0 p x xs otherwise;
274.45/246.90	"
274.45/246.90	"takeWhile2 p (x : xs) = takeWhile1 p x xs (p x);
274.45/246.90	"
274.45/246.90	"takeWhile3 p [] = [];
274.45/246.90	takeWhile3 vwz vxu = takeWhile2 vwz vxu;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"!! (x : vy) 0 = x;
274.45/246.90	!! (vz : xs) n|n > 0xs !! (n - 1);
274.45/246.90	!! (wu : wv) ww = error [];
274.45/246.90	!! [] wx = error [];
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"!! (x : vy) vyx = emEm5 (x : vy) vyx;
274.45/246.90	!! (vz : xs) n = emEm3 (vz : xs) n;
274.45/246.90	!! (wu : wv) ww = emEm1 (wu : wv) ww;
274.45/246.90	!! [] wx = emEm0 [] wx;
274.45/246.90	"
274.45/246.90	"emEm0 [] wx = error [];
274.45/246.90	"
274.45/246.90	"emEm1 (wu : wv) ww = error [];
274.45/246.90	emEm1 vxx vxy = emEm0 vxx vxy;
274.45/246.90	"
274.45/246.90	"emEm2 vz xs n True = xs !! (n - 1);
274.45/246.90	emEm2 vz xs n False = emEm1 (vz : xs) n;
274.45/246.90	"
274.45/246.90	"emEm3 (vz : xs) n = emEm2 vz xs n (n > 0);
274.45/246.90	emEm3 vyu vyv = emEm1 vyu vyv;
274.45/246.90	"
274.45/246.90	"emEm4 True (x : vy) vyx = x;
274.45/246.90	emEm4 vyy vyz vzu = emEm3 vyz vzu;
274.45/246.90	"
274.45/246.90	"emEm5 (x : vy) vyx = emEm4 (vyx == 0) (x : vy) vyx;
274.45/246.90	emEm5 vzv vzw = emEm3 vzv vzw;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"showLitChar c|c > '\127'(showChar '\') . protectEsc isDigit (shows (fromEnum c));
274.45/246.90	showLitChar '\127' = showString ('\' : 'D' : 'E' : 'L' : []);
274.45/246.90	showLitChar '\' = showString ('\' : '\' : []);
274.45/246.90	showLitChar c|c >= '\32'showChar c;
274.45/246.90	showLitChar '\7' = showString ('\' : 'a' : []);
274.45/246.90	showLitChar '\8' = showString ('\' : 'b' : []);
274.45/246.90	showLitChar '\12' = showString ('\' : 'f' : []);
274.45/246.90	showLitChar '\10' = showString ('\' : 'n' : []);
274.45/246.90	showLitChar '\13' = showString ('\' : 'r' : []);
274.45/246.90	showLitChar '\9' = showString ('\' : 't' : []);
274.45/246.90	showLitChar '\11' = showString ('\' : 'v' : []);
274.45/246.90	showLitChar '\14' = protectEsc ('H' ==) (showString ('\' : 'S' : 'O' : []));
274.45/246.90	showLitChar c = showString ('\' : snd (asciiTab !! (fromEnum c)));
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"showLitChar c = showLitChar24 c;
274.45/246.90	showLitChar wzy = showLitChar22 wzy;
274.45/246.90	showLitChar wzu = showLitChar20 wzu;
274.45/246.90	showLitChar c = showLitChar18 c;
274.45/246.90	showLitChar wyv = showLitChar16 wyv;
274.45/246.90	showLitChar wxx = showLitChar14 wxx;
274.45/246.90	showLitChar wwz = showLitChar12 wwz;
274.45/246.90	showLitChar wwv = showLitChar10 wwv;
274.45/246.90	showLitChar wvx = showLitChar8 wvx;
274.45/246.90	showLitChar wuz = showLitChar6 wuz;
274.45/246.90	showLitChar wuv = showLitChar4 wuv;
274.45/246.90	showLitChar vzx = showLitChar2 vzx;
274.45/246.90	showLitChar c = showLitChar0 c;
274.45/246.90	"
274.45/246.90	"showLitChar0 c = showString ('\' : snd (asciiTab !! (fromEnum c)));
274.45/246.90	"
274.45/246.90	"showLitChar1 True vzx = protectEsc ('H' ==) (showString ('\' : 'S' : 'O' : []));
274.45/246.90	showLitChar1 vzy vzz = showLitChar0 vzz;
274.45/246.90	"
274.45/246.90	"showLitChar2 vzx = showLitChar1 (vzx == '\14') vzx;
274.45/246.90	showLitChar2 wuu = showLitChar0 wuu;
274.45/246.90	"
274.45/246.90	"showLitChar3 True wuv = showString ('\' : 'v' : []);
274.45/246.90	showLitChar3 wuw wux = showLitChar2 wux;
274.45/246.90	"
274.45/246.90	"showLitChar4 wuv = showLitChar3 (wuv == '\11') wuv;
274.45/246.90	showLitChar4 wuy = showLitChar2 wuy;
274.45/246.90	"
274.45/246.90	"showLitChar5 True wuz = showString ('\' : 't' : []);
274.45/246.90	showLitChar5 wvu wvv = showLitChar4 wvv;
274.45/246.90	"
274.45/246.90	"showLitChar6 wuz = showLitChar5 (wuz == '\9') wuz;
274.45/246.90	showLitChar6 wvw = showLitChar4 wvw;
274.45/246.90	"
274.45/246.90	"showLitChar7 True wvx = showString ('\' : 'r' : []);
274.45/246.90	showLitChar7 wvy wvz = showLitChar6 wvz;
274.45/246.90	"
274.45/246.90	"showLitChar8 wvx = showLitChar7 (wvx == '\13') wvx;
274.45/246.90	showLitChar8 wwu = showLitChar6 wwu;
274.45/246.90	"
274.45/246.90	"showLitChar9 True wwv = showString ('\' : 'n' : []);
274.45/246.90	showLitChar9 www wwx = showLitChar8 wwx;
274.45/246.90	"
274.45/246.90	"showLitChar10 wwv = showLitChar9 (wwv == '\10') wwv;
274.45/246.90	showLitChar10 wwy = showLitChar8 wwy;
274.45/246.90	"
274.45/246.90	"showLitChar11 True wwz = showString ('\' : 'f' : []);
274.45/246.90	showLitChar11 wxu wxv = showLitChar10 wxv;
274.45/246.90	"
274.45/246.90	"showLitChar12 wwz = showLitChar11 (wwz == '\12') wwz;
274.45/246.90	showLitChar12 wxw = showLitChar10 wxw;
274.45/246.90	"
274.45/246.90	"showLitChar13 True wxx = showString ('\' : 'b' : []);
274.45/246.90	showLitChar13 wxy wxz = showLitChar12 wxz;
274.45/246.90	"
274.45/246.90	"showLitChar14 wxx = showLitChar13 (wxx == '\8') wxx;
274.45/246.90	showLitChar14 wyu = showLitChar12 wyu;
274.45/246.90	"
274.45/246.90	"showLitChar15 True wyv = showString ('\' : 'a' : []);
274.45/246.90	showLitChar15 wyw wyx = showLitChar14 wyx;
274.45/246.90	"
274.45/246.90	"showLitChar16 wyv = showLitChar15 (wyv == '\7') wyv;
274.45/246.90	showLitChar16 wyy = showLitChar14 wyy;
274.45/246.90	"
274.45/246.90	"showLitChar17 c True = showChar c;
274.45/246.90	showLitChar17 c False = showLitChar16 c;
274.45/246.90	"
274.45/246.90	"showLitChar18 c = showLitChar17 c (c >= '\32');
274.45/246.90	showLitChar18 wyz = showLitChar16 wyz;
274.45/246.90	"
274.45/246.90	"showLitChar19 True wzu = showString ('\' : '\' : []);
274.45/246.90	showLitChar19 wzv wzw = showLitChar18 wzw;
274.45/246.90	"
274.45/246.90	"showLitChar20 wzu = showLitChar19 (wzu == '\') wzu;
274.45/246.90	showLitChar20 wzx = showLitChar18 wzx;
274.45/246.90	"
274.45/246.90	"showLitChar21 True wzy = showString ('\' : 'D' : 'E' : 'L' : []);
274.45/246.90	showLitChar21 wzz xuu = showLitChar20 xuu;
274.45/246.90	"
274.45/246.90	"showLitChar22 wzy = showLitChar21 (wzy == '\127') wzy;
274.45/246.90	showLitChar22 xuv = showLitChar20 xuv;
274.45/246.90	"
274.45/246.90	"showLitChar23 c True = (showChar '\') . protectEsc isDigit (shows (fromEnum c));
274.45/246.90	showLitChar23 c False = showLitChar22 c;
274.45/246.90	"
274.45/246.90	"showLitChar24 c = showLitChar23 c (c > '\127');
274.45/246.90	showLitChar24 xuw = showLitChar22 xuw;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"cont (wz : xu)|p wz('\' : '&' : []) ++ wz : xu;
274.45/246.90	cont s = s;
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"cont (wz : xu) = cont2 (wz : xu);
274.45/246.90	cont s = cont0 s;
274.45/246.90	"
274.45/246.90	"cont0 s = s;
274.45/246.90	"
274.45/246.90	"cont1 wz xu True = ('\' : '&' : []) ++ wz : xu;
274.45/246.90	cont1 wz xu False = cont0 (wz : xu);
274.45/246.90	"
274.45/246.90	"cont2 (wz : xu) = cont1 wz xu (p wz);
274.45/246.90	cont2 xuy = cont0 xuy;
274.45/246.90	"
274.45/246.90	The following Function with conditions
274.45/246.90	"undefined |Falseundefined;
274.45/246.90	"
274.45/246.90	is transformed to
274.45/246.90	"undefined  = undefined1;
274.45/246.90	"
274.45/246.90	"undefined0 True = undefined;
274.45/246.90	"
274.45/246.90	"undefined1  = undefined0 False;
274.45/246.90	"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(10)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(11) LetRed (EQUIVALENT)
274.45/246.90	Let/Where Reductions:
274.45/246.90	The bindings of the following Let/Where expression
274.45/246.90	"(showChar '[') . (shows x) . showl xs where {
274.45/246.90	showl [] = showChar ']';
274.45/246.90	showl (x : xs) = (showChar ',') . (shows x) . showl xs;
274.45/246.90	} 
274.45/246.90	"
274.45/246.90	are unpacked to the following functions on top level
274.45/246.90	"showListShowl [] = showChar ']';
274.45/246.90	showListShowl (x : xs) = (showChar ',') . (shows x) . showListShowl xs;
274.45/246.90	"
274.45/246.90	The bindings of the following Let/Where expression
274.45/246.90	"(showChar '"') . showl cs where {
274.45/246.90	showl [] = showl3 [];
274.45/246.90	showl (zz : cs) = showl2 (zz : cs);
274.45/246.90	showl (c : cs) = showl0 (c : cs);
274.45/246.90	;
274.45/246.90	showl0 (c : cs) = (showLitChar c) . showl cs;
274.45/246.90	;
274.45/246.90	showl1 True (zz : cs) = (showString ('\' : '"' : [])) . showl cs;
274.45/246.90	showl1 vuu vuv = showl0 vuv;
274.45/246.90	;
274.45/246.90	showl2 (zz : cs) = showl1 (zz == '"') (zz : cs);
274.45/246.90	showl2 vuw = showl0 vuw;
274.45/246.90	;
274.45/246.90	showl3 [] = showChar '"';
274.45/246.90	showl3 vuy = showl2 vuy;
274.45/246.90	} 
274.45/246.90	"
274.45/246.90	are unpacked to the following functions on top level
274.45/246.90	"showListShowl0 [] = showListShowl3 [];
274.45/246.90	showListShowl0 (zz : cs) = showListShowl2 (zz : cs);
274.45/246.90	showListShowl0 (c : cs) = showListShowl00 (c : cs);
274.45/246.90	"
274.45/246.90	"showListShowl2 (zz : cs) = showListShowl1 (zz == '"') (zz : cs);
274.45/246.90	showListShowl2 vuw = showListShowl00 vuw;
274.45/246.90	"
274.45/246.90	"showListShowl00 (c : cs) = (showLitChar c) . showListShowl0 cs;
274.45/246.90	"
274.45/246.90	"showListShowl1 True (zz : cs) = (showString ('\' : '"' : [])) . showListShowl0 cs;
274.45/246.90	showListShowl1 vuu vuv = showListShowl00 vuv;
274.45/246.90	"
274.45/246.90	"showListShowl3 [] = showChar '"';
274.45/246.90	showListShowl3 vuy = showListShowl2 vuy;
274.45/246.90	"
274.45/246.90	The bindings of the following Let/Where expression
274.45/246.90	"f . cont where {
274.45/246.90	cont (wz : xu) = cont2 (wz : xu);
274.45/246.90	cont s = cont0 s;
274.45/246.90	;
274.45/246.90	cont0 s = s;
274.45/246.90	;
274.45/246.90	cont1 wz xu True = ('\' : '&' : []) ++ wz : xu;
274.45/246.90	cont1 wz xu False = cont0 (wz : xu);
274.45/246.90	;
274.45/246.90	cont2 (wz : xu) = cont1 wz xu (p wz);
274.45/246.90	cont2 xuy = cont0 xuy;
274.45/246.90	} 
274.45/246.90	"
274.45/246.90	are unpacked to the following functions on top level
274.45/246.90	"protectEscCont xuz (wz : xu) = protectEscCont2 xuz (wz : xu);
274.45/246.90	protectEscCont xuz s = protectEscCont0 xuz s;
274.45/246.90	"
274.45/246.90	"protectEscCont0 xuz s = s;
274.45/246.90	"
274.45/246.90	"protectEscCont2 xuz (wz : xu) = protectEscCont1 xuz wz xu (xuz wz);
274.45/246.90	protectEscCont2 xuz xuy = protectEscCont0 xuz xuy;
274.45/246.90	"
274.45/246.90	"protectEscCont1 xuz wz xu True = ('\' : '&' : []) ++ wz : xu;
274.45/246.90	protectEscCont1 xuz wz xu False = protectEscCont0 xuz (wz : xu);
274.45/246.90	"
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(12)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.45/246.90	
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(13) NumRed (SOUND)
274.45/246.90	Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
274.45/246.90	----------------------------------------
274.45/246.90	
274.45/246.90	(14)
274.45/246.90	Obligation:
274.45/246.90	mainModule Main 
274.45/246.90	module Main where {
274.45/246.90	import qualified Prelude;
274.45/246.90	}
274.79/246.95	EOF