/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could not be shown:

(0) HASKELL
(1) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) CR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) IFR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) BR [EQUIVALENT, 0 ms]
(8) HASKELL
(9) COR [EQUIVALENT, 52 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 3 ms]
(12) HASKELL
(13) NumRed [SOUND, 46 ms]
(14) HASKELL


----------------------------------------

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\nd->n * radix + d"
is transformed to
"readInt0 radix n d = n * radix + d;
"
The following Lambda expression
"\vu77->case vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
"
is transformed to
"readInt1 radix digToInt vu77 = case vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
;
"
The following Lambda expression
"\vu54->case vu54 of {
(ch,''' : t)  -> if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
_  -> []}
"
is transformed to
"lex0 vu54 = case vu54 of {
(ch,''' : t)  -> if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
_  -> []}
;
"
The following Lambda expression
"\vu56->case vu56 of {
(str,u)  -> (ch ++ str,u) : [];
_  -> []}
"
is transformed to
"lexString0 ch vu56 = case vu56 of {
(str,u)  -> (ch ++ str,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu57->case vu57 of {
(ch,t)  -> concatMap (lexString0 ch) (lexString t);
_  -> []}
"
is transformed to
"lexString1 vu57 = case vu57 of {
(ch,t)  -> concatMap (lexString0 ch) (lexString t);
_  -> []}
;
"
The following Lambda expression
"\vu58->case vu58 of {
'\' : t  -> ([],t) : [];
_  -> []}
"
is transformed to
"lexStrItem0 vu58 = case vu58 of {
'\' : t  -> ([],t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu55->case vu55 of {
(str,t)  -> ('"' : str,t) : [];
_  -> []}
"
is transformed to
"lex1 vu55 = case vu55 of {
(str,t)  -> ('"' : str,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu63->case vu63 of {
(e,u)  -> ('.' : ds ++ e,u) : [];
_  -> []}
"
is transformed to
"lexFracExp0 ds vu63 = case vu63 of {
(e,u)  -> ('.' : ds ++ e,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu64->case vu64 of {
(ds,t)  -> concatMap (lexFracExp0 ds) (lexExp t);
_  -> []}
"
is transformed to
"lexFracExp1 vu64 = case vu64 of {
(ds,t)  -> concatMap (lexFracExp0 ds) (lexExp t);
_  -> []}
;
"
The following Lambda expression
"\vu65->case vu65 of {
(ds,u)  -> (e : c : ds,u) : [];
_  -> []}
"
is transformed to
"lexExp0 e c vu65 = case vu65 of {
(ds,u)  -> (e : c : ds,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu66->case vu66 of {
c : t  -> if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
_  -> []}
"
is transformed to
"lexExp1 e vu66 = case vu66 of {
c : t  -> if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
_  -> []}
;
"
The following Lambda expression
"\vu67->case vu67 of {
(ds,t)  -> (e : ds,t) : [];
_  -> []}
"
is transformed to
"lexExp2 e vu67 = case vu67 of {
(ds,t)  -> (e : ds,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu59->case vu59 of {
(sym,t)  -> (c : sym,t) : [];
_  -> []}
"
is transformed to
"lex2 c vu59 = case vu59 of {
(sym,t)  -> (c : sym,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu60->case vu60 of {
(nam,t)  -> (c : nam,t) : [];
_  -> []}
"
is transformed to
"lex3 c vu60 = case vu60 of {
(nam,t)  -> (c : nam,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu61->case vu61 of {
(fe,t)  -> (c : ds ++ fe,t) : [];
_  -> []}
"
is transformed to
"lex4 c ds vu61 = case vu61 of {
(fe,t)  -> (c : ds ++ fe,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu62->case vu62 of {
(ds,s)  -> concatMap (lex4 c ds) (lexFracExp s);
_  -> []}
"
is transformed to
"lex5 c vu62 = case vu62 of {
(ds,s)  -> concatMap (lex4 c ds) (lexFracExp s);
_  -> []}
;
"
The following Lambda expression
"\ab->(a,b)"
is transformed to
"zip0 a b = (a,b);
"
The following Lambda expression
"\vu68->case vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
"
is transformed to
"nonnull0 vu68 = case vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu48->case vu48 of {
(')' : [],u)  -> (x,u) : [];
_  -> []}
"
is transformed to
"mandatory0 x vu48 = case vu48 of {
(')' : [],u)  -> (x,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu49->case vu49 of {
(x,t)  -> concatMap (mandatory0 x) (lex t);
_  -> []}
"
is transformed to
"mandatory1 vu49 = case vu49 of {
(x,t)  -> concatMap (mandatory0 x) (lex t);
_  -> []}
;
"
The following Lambda expression
"\vu50->case vu50 of {
('(' : [],s)  -> concatMap mandatory1 (optional s);
_  -> []}
"
is transformed to
"mandatory2 vu50 = case vu50 of {
('(' : [],s)  -> concatMap mandatory1 (optional s);
_  -> []}
;
"
The following Lambda expression
"\vu80->case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
"
is transformed to
"read''0 s vu80 = case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
;
"
The following Lambda expression
"\vu81->case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
"
is transformed to
"read''1 readPos vu81 = case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
;
"
The following Lambda expression
"\vu78->case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
"
is transformed to
"read'0 vu78 = case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu79->case vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
"
is transformed to
"read'1 vu79 = case vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
;
"
The following Lambda expression
"\ex->if isEOFError ex then return '\10' else ioError ex"
is transformed to
"getRest0 ex = if isEOFError ex then return '\10' else ioError ex;
"
The following Lambda expression
"\cs->return (c : cs)"
is transformed to
"getRest1 c cs = return (c : cs);
"
The following Lambda expression
"\c->if c == '\10' then return [] else getRest >>= getRest1 c"
is transformed to
"getRest2 c = if c == '\10' then return [] else getRest >>= getRest1 c;
"
The following Lambda expression
"\ls->return (c : ls)"
is transformed to
"getLine0 c ls = return (c : ls);
"
The following Lambda expression
"\c->if c == '\10' then return [] else getRest >>= getLine0 c"
is transformed to
"getLine1 c = if c == '\10' then return [] else getRest >>= getLine0 c;
"
The following Lambda expression
"\d->fromEnum d - fromEnum_0"
is transformed to
"readDec0 d = fromEnum d - fromEnum_0;
"
The following Lambda expression
"\vu89->case vu89 of {
([],[])  -> x : [];
_  -> []}
"
is transformed to
"readIO0 x vu89 = case vu89 of {
([],[])  -> x : [];
_  -> []}
;
"
The following Lambda expression
"\vu90->case vu90 of {
(x,t)  -> concatMap (readIO0 x) (lex t);
_  -> []}
"
is transformed to
"readIO1 vu90 = case vu90 of {
(x,t)  -> concatMap (readIO0 x) (lex t);
_  -> []}
;
"
The following Lambda expression
"\r->return r"
is transformed to
"readLn0 r = return r;
"
The following Lambda expression
"\l->readIO l >>= readLn0"
is transformed to
"readLn1 l = readIO l >>= readLn0;
"
The following Lambda expression
"\vu69->case vu69 of {
([],s')  -> (mne,s') : [];
_  -> []}
"
is transformed to
"lexEsc0 mne vu69 = case vu69 of {
([],s')  -> (mne,s') : [];
_  -> []}
;
"
The following Lambda expression
"\vu70->case vu70 of {
(c,mne)  -> concatMap (lexEsc0 mne) (lexmatch mne s : []);
_  -> []}
"
is transformed to
"lexEsc1 s vu70 = case vu70 of {
(c,mne)  -> concatMap (lexEsc0 mne) (lexmatch mne s : []);
_  -> []}
;
"
The following Lambda expression
"\(_,zs)->zs"
is transformed to
"zs0 (_,zs) = zs;
"
The following Lambda expression
"\(ys,_)->ys"
is transformed to
"ys0 (ys,_) = ys;
"

----------------------------------------

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(3) CR (EQUIVALENT)
Case Reductions:
The following Case expression
"case vu90 of {
(x,t)  -> concatMap (readIO0 x) (lex t);
_  -> []}
"
is transformed to
"readIO10 (x,t) = concatMap (readIO0 x) (lex t);
readIO10 _ = [];
"
The following Case expression
"case vu89 of {
([],[])  -> x : [];
_  -> []}
"
is transformed to
"readIO00 x ([],[]) = x : [];
readIO00 x _ = [];
"
The following Case expression
"case vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
"
is transformed to
"readInt10 radix digToInt (ds,r) = (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
readInt10 radix digToInt _ = [];
"
The following Case expression
"case vu55 of {
(str,t)  -> ('"' : str,t) : [];
_  -> []}
"
is transformed to
"lex10 (str,t) = ('"' : str,t) : [];
lex10 _ = [];
"
The following Case expression
"case vu57 of {
(ch,t)  -> concatMap (lexString0 ch) (lexString t);
_  -> []}
"
is transformed to
"lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 _ = [];
"
The following Case expression
"case vu56 of {
(str,u)  -> (ch ++ str,u) : [];
_  -> []}
"
is transformed to
"lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch _ = [];
"
The following Case expression
"case vu58 of {
'\' : t  -> ([],t) : [];
_  -> []}
"
is transformed to
"lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 _ = [];
"
The following Case expression
"case vu59 of {
(sym,t)  -> (c : sym,t) : [];
_  -> []}
"
is transformed to
"lex20 c (sym,t) = (c : sym,t) : [];
lex20 c _ = [];
"
The following Case expression
"case vu67 of {
(ds,t)  -> (e : ds,t) : [];
_  -> []}
"
is transformed to
"lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e _ = [];
"
The following Case expression
"case vu65 of {
(ds,u)  -> (e : c : ds,u) : [];
_  -> []}
"
is transformed to
"lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c _ = [];
"
The following Case expression
"case vu62 of {
(ds,s)  -> concatMap (lex4 c ds) (lexFracExp s);
_  -> []}
"
is transformed to
"lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c _ = [];
"
The following Case expression
"case vu66 of {
c : t  -> if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
_  -> []}
"
is transformed to
"lexExp10 e (c : t) = if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
lexExp10 e _ = [];
"
The following Case expression
"case vu60 of {
(nam,t)  -> (c : nam,t) : [];
_  -> []}
"
is transformed to
"lex30 c (nam,t) = (c : nam,t) : [];
lex30 c _ = [];
"
The following Case expression
"case vu61 of {
(fe,t)  -> (c : ds ++ fe,t) : [];
_  -> []}
"
is transformed to
"lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds _ = [];
"
The following Case expression
"case vu63 of {
(e,u)  -> ('.' : ds ++ e,u) : [];
_  -> []}
"
is transformed to
"lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds _ = [];
"
The following Case expression
"case vu64 of {
(ds,t)  -> concatMap (lexFracExp0 ds) (lexExp t);
_  -> []}
"
is transformed to
"lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 _ = [];
"
The following Case expression
"case vu54 of {
(ch,''' : t)  -> if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
_  -> []}
"
is transformed to
"lex00 (ch,''' : t) = if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
lex00 _ = [];
"
The following Case expression
"case vu48 of {
(')' : [],u)  -> (x,u) : [];
_  -> []}
"
is transformed to
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x _ = [];
"
The following Case expression
"case vu49 of {
(x,t)  -> concatMap (mandatory0 x) (lex t);
_  -> []}
"
is transformed to
"mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 _ = [];
"
The following Case expression
"case vu50 of {
('(' : [],s)  -> concatMap mandatory1 (optional s);
_  -> []}
"
is transformed to
"mandatory20 ('(' : [],s) = concatMap mandatory1 (optional s);
mandatory20 _ = [];
"
The following Case expression
"case vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
"
is transformed to
"nonnull00 (cs@(_ : _),t) = (cs,t) : [];
nonnull00 _ = [];
"
The following Case expression
"case vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
"
is transformed to
"read'10 ('-' : [],s) = concatMap read'0 (read'' s);
read'10 _ = [];
"
The following Case expression
"case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
"
is transformed to
"read'00 (x,t) = (`negate` x,t) : [];
read'00 _ = [];
"
The following Case expression
"case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
"
is transformed to
"read''00 s (n,[]) = (n,s) : [];
read''00 s _ = [];
"
The following Case expression
"case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
"
is transformed to
"read''10 readPos (str,s) = concatMap (read''0 s) (readPos str);
read''10 readPos _ = [];
"
The following Case expression
"case concatMap readIO1 (reads s) of {
x : []  -> return x;
[]  -> ioError (userError ('N' : 'P' : []));
_  -> ioError (userError ('A' : 'P' : []))}
"
is transformed to
"readIO2 (x : []) = return x;
readIO2 [] = ioError (userError ('N' : 'P' : []));
readIO2 _ = ioError (userError ('A' : 'P' : []));
"
The following Case expression
"case concatMap (lexEsc1 s) table of {
pr : _  -> pr : [];
[]  -> []}
"
is transformed to
"lexEsc2 (pr : _) = pr : [];
lexEsc2 [] = [];
"
The following Case expression
"case vu69 of {
([],s')  -> (mne,s') : [];
_  -> []}
"
is transformed to
"lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne _ = [];
"
The following Case expression
"case vu70 of {
(c,mne)  -> concatMap (lexEsc0 mne) (lexmatch mne s : []);
_  -> []}
"
is transformed to
"lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s _ = [];
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(5) IFR (EQUIVALENT)
If Reductions:
The following If expression
"if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else []"
is transformed to
"lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
"
The following If expression
"if b then mandatory else optional"
is transformed to
"readParen0 True = mandatory;
readParen0 False = optional;
"
The following If expression
"if isEOFError ex then return '\10' else ioError ex"
is transformed to
"getRest00 ex True = return '\10';
getRest00 ex False = ioError ex;
"
The following If expression
"if c == '\10' then return [] else getRest >>= getLine0 c"
is transformed to
"getLine10 c True = return [];
getLine10 c False = getRest >>= getLine0 c;
"
The following If expression
"if c == '\10' then return [] else getRest >>= getRest1 c"
is transformed to
"getRest20 c True = return [];
getRest20 c False = getRest >>= getRest1 c;
"
The following If expression
"if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else []"
is transformed to
"lex000 ch t True = (''' : ch ++ ''' : [],t) : [];
lex000 ch t False = [];
"

----------------------------------------

(6)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(7) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.

Binding Reductions:
The bind variable of the following binding Pattern
"xs@(yw : yx)"
is replaced by the following term
"yw : yx"
The bind variable of the following binding Pattern
"xs@(zu : zv)"
is replaced by the following term
"zu : zv"
The bind variable of the following binding Pattern
"cs@(vuu : vuv)"
is replaced by the following term
"vuu : vuv"
The bind variable of the following binding Pattern
"s@(vxv : vxw)"
is replaced by the following term
"vxv : vxw"

----------------------------------------

(8)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(9) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"takeWhile p [] = [];
takeWhile p (x : xs)|p xx : takeWhile p xs|otherwise[];
"
is transformed to
"takeWhile p [] = takeWhile3 p [];
takeWhile p (x : xs) = takeWhile2 p (x : xs);
"
"takeWhile1 p x xs True = x : takeWhile p xs;
takeWhile1 p x xs False = takeWhile0 p x xs otherwise;
"
"takeWhile0 p x xs True = [];
"
"takeWhile2 p (x : xs) = takeWhile1 p x xs (p x);
"
"takeWhile3 p [] = [];
takeWhile3 vyx vyy = takeWhile2 vyx vyy;
"
The following Function with conditions
"lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
"
is transformed to
"lexString (vzu : s) = lexString4 (vzu : s);
lexString s = lexString2 s;
"
"lexString2 s = concatMap lexString1 (lexStrItem s);
"
"lexString3 True (vzu : s) = ('"' : [],s) : [];
lexString3 vzv vzw = lexString2 vzw;
"
"lexString4 (vzu : s) = lexString3 (vzu == '"') (vzu : s);
lexString4 vzx = lexString2 vzx;
"
The following Function with conditions
"lexStrItem ('\' : '&' : s) = ('\' : '&' : [],s) : [];
lexStrItem ('\' : c : s)|isSpace cconcatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem s = lexLitChar s;
"
is transformed to
"lexStrItem (wvv : wvz) = lexStrItem7 (wvv : wvz);
lexStrItem (vzz : wuw) = lexStrItem4 (vzz : wuw);
lexStrItem s = lexStrItem1 s;
"
"lexStrItem1 s = lexLitChar s;
"
"lexStrItem2 vzz c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 vzz c s False = lexStrItem1 (vzz : c : s);
"
"lexStrItem3 True (vzz : c : s) = lexStrItem2 vzz c s (isSpace c);
lexStrItem3 wux wuy = lexStrItem1 wuy;
"
"lexStrItem4 (vzz : wuw) = lexStrItem3 (vzz == '\') (vzz : wuw);
lexStrItem4 wuz = lexStrItem1 wuz;
"
"lexStrItem5 True (wvv : wvx : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwu wwv = lexStrItem4 wwv;
"
"lexStrItem6 True (wvv : wvx : s) = lexStrItem5 (wvx == '&') (wvv : wvx : s);
lexStrItem6 www wwx = lexStrItem4 wwx;
"
"lexStrItem7 (wvv : wvz) = lexStrItem6 (wvv == '\') (wvv : wvz);
lexStrItem7 wwy = lexStrItem4 wwy;
"
The following Function with conditions
"lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 wv = [];
"
is transformed to
"lexStrItem00 (wxu : t) = lexStrItem002 (wxu : t);
lexStrItem00 wv = lexStrItem000 wv;
"
"lexStrItem000 wv = [];
"
"lexStrItem001 True (wxu : t) = ([],t) : [];
lexStrItem001 wxv wxw = lexStrItem000 wxw;
"
"lexStrItem002 (wxu : t) = lexStrItem001 (wxu == '\') (wxu : t);
lexStrItem002 wxx = lexStrItem000 wxx;
"
The following Function with conditions
"lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
"
is transformed to
"lexExp (e : s) = lexExp5 (e : s);
lexExp s = lexExp3 s;
"
"lexExp3 s = ([],s) : [];
"
"lexExp4 e s True = concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp4 e s False = lexExp3 (e : s);
"
"lexExp5 (e : s) = lexExp4 e s (e `elem` 'e' : 'E' : []);
lexExp5 wxz = lexExp3 wxz;
"
The following Function with conditions
"lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
"
is transformed to
"lexFracExp (wyv : wyy) = lexFracExp5 (wyv : wyy);
lexFracExp s = lexFracExp2 s;
"
"lexFracExp2 s = lexExp s;
"
"lexFracExp3 wyv c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyv c cs False = lexFracExp2 (wyv : c : cs);
"
"lexFracExp4 True (wyv : c : cs) = lexFracExp3 wyv c cs (isDigit c);
lexFracExp4 wyz wzu = lexFracExp2 wzu;
"
"lexFracExp5 (wyv : wyy) = lexFracExp4 (wyv == '.') (wyv : wyy);
lexFracExp5 wzv = lexFracExp2 wzv;
"
The following Function with conditions
"lex [] = ([],[]) : [];
lex (c : s)|isSpace clex (dropWhile isSpace s);
lex (''' : s) = concatMap lex0 (lexLitChar s);
lex ('"' : s) = concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 ww = [];
;
lexStrItem ('\' : '&' : s) = ('\' : '&' : [],s) : [];
lexStrItem ('\' : c : s)|isSpace cconcatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem s = lexLitChar s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 wv = [];
;
lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vz = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wu = [];
} 
;
lex (c : s)|isSingle c(c : [],s) : []|isSym cconcatMap (lex2 c) (span isSym s : [])|isAlpha cconcatMap (lex3 c) (span isIdChar s : [])|isDigit cconcatMap (lex5 c) (span isDigit s : [])|otherwise[] where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c xy = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xz = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xw = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xx = [];
;
lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c wx = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e wz = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e wy = [];
;
lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xv = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xu = [];
} 
;
"
is transformed to
"lex [] = lex19 [];
lex (c : s) = lex18 (c : s);
lex (xux : s) = lex16 (xux : s);
lex (wzy : s) = lex14 (wzy : s);
lex (c : s) = lex12 (c : s);
"
"lex12 (c : s) = lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex11 c s True = (c : [],s) : [];
lex11 c s False = lex9 c s (isSym c);
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c xy = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xz = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xw = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xx = [];
;
lex6 c s True = [];
;
lex7 c s True = concatMap (lex5 c) (span isDigit s : []);
lex7 c s False = lex6 c s otherwise;
;
lex8 c s True = concatMap (lex3 c) (span isIdChar s : []);
lex8 c s False = lex7 c s (isDigit c);
;
lex9 c s True = concatMap (lex2 c) (span isSym s : []);
lex9 c s False = lex8 c s (isAlpha c);
;
lexExp (e : s) = lexExp5 (e : s);
lexExp s = lexExp3 s;
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c wx = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e wz = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e wy = [];
;
lexExp3 s = ([],s) : [];
;
lexExp4 e s True = concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp4 e s False = lexExp3 (e : s);
;
lexExp5 (e : s) = lexExp4 e s (e `elem` 'e' : 'E' : []);
lexExp5 wxz = lexExp3 wxz;
;
lexFracExp (wyv : wyy) = lexFracExp5 (wyv : wyy);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xv = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xu = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 wyv c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyv c cs False = lexFracExp2 (wyv : c : cs);
;
lexFracExp4 True (wyv : c : cs) = lexFracExp3 wyv c cs (isDigit c);
lexFracExp4 wyz wzu = lexFracExp2 wzu;
;
lexFracExp5 (wyv : wyy) = lexFracExp4 (wyv == '.') (wyv : wyy);
lexFracExp5 wzv = lexFracExp2 wzv;
} 
;
"
"lex13 True (wzy : s) = concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 ww = [];
;
lexStrItem (wvv : wvz) = lexStrItem7 (wvv : wvz);
lexStrItem (vzz : wuw) = lexStrItem4 (vzz : wuw);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (wxu : t) = lexStrItem002 (wxu : t);
lexStrItem00 wv = lexStrItem000 wv;
;
lexStrItem000 wv = [];
;
lexStrItem001 True (wxu : t) = ([],t) : [];
lexStrItem001 wxv wxw = lexStrItem000 wxw;
;
lexStrItem002 (wxu : t) = lexStrItem001 (wxu == '\') (wxu : t);
lexStrItem002 wxx = lexStrItem000 wxx;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 vzz c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 vzz c s False = lexStrItem1 (vzz : c : s);
;
lexStrItem3 True (vzz : c : s) = lexStrItem2 vzz c s (isSpace c);
lexStrItem3 wux wuy = lexStrItem1 wuy;
;
lexStrItem4 (vzz : wuw) = lexStrItem3 (vzz == '\') (vzz : wuw);
lexStrItem4 wuz = lexStrItem1 wuz;
;
lexStrItem5 True (wvv : wvx : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwu wwv = lexStrItem4 wwv;
;
lexStrItem6 True (wvv : wvx : s) = lexStrItem5 (wvx == '&') (wvv : wvx : s);
lexStrItem6 www wwx = lexStrItem4 wwx;
;
lexStrItem7 (wvv : wvz) = lexStrItem6 (wvv == '\') (wvv : wvz);
lexStrItem7 wwy = lexStrItem4 wwy;
;
lexString (vzu : s) = lexString4 (vzu : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vz = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wu = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (vzu : s) = ('"' : [],s) : [];
lexString3 vzv vzw = lexString2 vzw;
;
lexString4 (vzu : s) = lexString3 (vzu == '"') (vzu : s);
lexString4 vzx = lexString2 vzx;
} 
;
lex13 wzz xuu = lex12 xuu;
"
"lex14 (wzy : s) = lex13 (wzy == '"') (wzy : s);
lex14 xuv = lex12 xuv;
"
"lex15 True (xux : s) = concatMap lex0 (lexLitChar s);
lex15 xuy xuz = lex14 xuz;
"
"lex16 (xux : s) = lex15 (xux == ''') (xux : s);
lex16 xvu = lex14 xvu;
"
"lex17 c s True = lex (dropWhile isSpace s);
lex17 c s False = lex16 (c : s);
"
"lex18 (c : s) = lex17 c s (isSpace c);
lex18 xvw = lex16 xvw;
"
"lex19 [] = ([],[]) : [];
lex19 xvy = lex18 xvy;
"
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"
The following Function with conditions
"dropWhile p [] = [];
dropWhile p (yw : yx)|p ywdropWhile p yx|otherwiseyw : yx;
"
is transformed to
"dropWhile p [] = dropWhile3 p [];
dropWhile p (yw : yx) = dropWhile2 p (yw : yx);
"
"dropWhile0 p yw yx True = yw : yx;
"
"dropWhile1 p yw yx True = dropWhile p yx;
dropWhile1 p yw yx False = dropWhile0 p yw yx otherwise;
"
"dropWhile2 p (yw : yx) = dropWhile1 p yw yx (p yw);
"
"dropWhile3 p [] = [];
dropWhile3 xwv xww = dropWhile2 xwv xww;
"
The following Function with conditions
"lex00 (ch,''' : t) = lex000 ch t (ch /= ''' : []);
lex00 yz = [];
"
is transformed to
"lex00 (ch,xwz : t) = lex003 (ch,xwz : t);
lex00 yz = lex001 yz;
"
"lex001 yz = [];
"
"lex002 True (ch,xwz : t) = lex000 ch t (ch /= ''' : []);
lex002 xxu xxv = lex001 xxv;
"
"lex003 (ch,xwz : t) = lex002 (xwz == ''') (ch,xwz : t);
lex003 xxw = lex001 xxw;
"
The following Function with conditions
"span p [] = ([],[]);
span p (zu : zv)|p zu(zu : ys,zs)|otherwise([],zu : zv) where {
vu43  = span p zv;
;
ys  = ys0 vu43;
;
ys0 (ys,zx) = ys;
;
zs  = zs0 vu43;
;
zs0 (zw,zs) = zs;
} 
;
"
is transformed to
"span p [] = span3 p [];
span p (zu : zv) = span2 p (zu : zv);
"
"span2 p (zu : zv) = span1 p zu zv (p zu) where {
span0 p zu zv True = ([],zu : zv);
;
span1 p zu zv True = (zu : ys,zs);
span1 p zu zv False = span0 p zu zv otherwise;
;
vu43  = span p zv;
;
ys  = ys0 vu43;
;
ys0 (ys,zx) = ys;
;
zs  = zs0 vu43;
;
zs0 (zw,zs) = zs;
} 
;
"
"span3 p [] = ([],[]);
span3 xxz xyu = span2 xxz xyu;
"
The following Function with conditions
"getChar |terminatorreturn terminator|otherwiseaIOE IOError_EOF;
"
is transformed to
"getChar  = getChar2;
"
"getChar0 True = aIOE IOError_EOF;
"
"getChar1 True = return terminator;
getChar1 False = getChar0 otherwise;
"
"getChar2  = getChar1 terminator;
"
The following Function with conditions
"lexmatch (x : xs) (y : ys)|x == ylexmatch xs ys;
lexmatch xs ys = (xs,ys);
"
is transformed to
"lexmatch (x : xs) (y : ys) = lexmatch2 (x : xs) (y : ys);
lexmatch xs ys = lexmatch0 xs ys;
"
"lexmatch0 xs ys = (xs,ys);
"
"lexmatch1 x xs y ys True = lexmatch xs ys;
lexmatch1 x xs y ys False = lexmatch0 (x : xs) (y : ys);
"
"lexmatch2 (x : xs) (y : ys) = lexmatch1 x xs y ys (x == y);
lexmatch2 xyx xyy = lexmatch0 xyx xyy;
"
The following Function with conditions
"mandatory20 ('(' : [],s) = concatMap mandatory1 (optional s);
mandatory20 vvz = [];
"
is transformed to
"mandatory20 (xzv : xzw,s) = mandatory202 (xzv : xzw,s);
mandatory20 vvz = mandatory200 vvz;
"
"mandatory200 vvz = [];
"
"mandatory201 True (xzv : [],s) = concatMap mandatory1 (optional s);
mandatory201 xzx xzy = mandatory200 xzy;
"
"mandatory202 (xzv : xzw,s) = mandatory201 (xzv == '(') (xzv : xzw,s);
mandatory202 xzz = mandatory200 xzz;
"
The following Function with conditions
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x vwu = [];
"
is transformed to
"mandatory00 x (yuw : yux,u) = mandatory002 x (yuw : yux,u);
mandatory00 x vwu = mandatory000 x vwu;
"
"mandatory000 x vwu = [];
"
"mandatory001 True x (yuw : [],u) = (x,u) : [];
mandatory001 yuy yuz yvu = mandatory000 yuz yvu;
"
"mandatory002 x (yuw : yux,u) = mandatory001 (yuw == ')') x (yuw : yux,u);
mandatory002 yvv yvw = mandatory000 yvv yvw;
"
The following Function with conditions
"read'10 ('-' : [],s) = concatMap read'0 (read'' s);
read'10 vwy = [];
"
is transformed to
"read'10 (yvz : ywu,s) = read'102 (yvz : ywu,s);
read'10 vwy = read'100 vwy;
"
"read'100 vwy = [];
"
"read'101 True (yvz : [],s) = concatMap read'0 (read'' s);
read'101 ywv yww = read'100 yww;
"
"read'102 (yvz : ywu,s) = read'101 (yvz == '-') (yvz : ywu,s);
read'102 ywx = read'100 ywx;
"
The following Function with conditions
"lexEsc (c : s)|c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : [](c : [],s) : [];
lexEsc ('^' : c : s)|c >= '@' && c <= '_'('^' : c : [],s) : [];
lexEsc ('o' : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc ('x' : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc (vxv : vxw)|isDigit vxvspan isDigit (vxv : vxw) : []|isUpper vxvlexEsc2 (concatMap (lexEsc1 (vxv : vxw)) table);
lexEsc vxx = [];
"
is transformed to
"lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (yyz : yzw) = lexEsc14 (yyz : yzw);
lexEsc (yyu : s) = lexEsc11 (yyu : s);
lexEsc (yxv : s) = lexEsc8 (yxv : s);
lexEsc (vxv : vxw) = lexEsc6 (vxv : vxw);
lexEsc vxx = lexEsc3 vxx;
"
"lexEsc3 vxx = [];
"
"lexEsc4 vxv vxw True = lexEsc2 (concatMap (lexEsc1 (vxv : vxw)) table);
lexEsc4 vxv vxw False = lexEsc3 (vxv : vxw);
"
"lexEsc5 vxv vxw True = span isDigit (vxv : vxw) : [];
lexEsc5 vxv vxw False = lexEsc4 vxv vxw (isUpper vxv);
"
"lexEsc6 (vxv : vxw) = lexEsc5 vxv vxw (isDigit vxv);
lexEsc6 ywz = lexEsc3 ywz;
"
"lexEsc7 True (yxv : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 yxw yxx = lexEsc6 yxx;
"
"lexEsc8 (yxv : s) = lexEsc7 (yxv == 'x') (yxv : s);
lexEsc8 yxy = lexEsc6 yxy;
"
"lexEsc9 True (yyu : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yyv yyw = lexEsc8 yyw;
"
"lexEsc11 (yyu : s) = lexEsc9 (yyu == 'o') (yyu : s);
lexEsc11 yyx = lexEsc8 yyx;
"
"lexEsc12 yyz c s True = ('^' : c : [],s) : [];
lexEsc12 yyz c s False = lexEsc11 (yyz : c : s);
"
"lexEsc13 True (yyz : c : s) = lexEsc12 yyz c s (c >= '@' && c <= '_');
lexEsc13 yzx yzy = lexEsc11 yzy;
"
"lexEsc14 (yyz : yzw) = lexEsc13 (yyz == '^') (yyz : yzw);
lexEsc14 yzz = lexEsc11 yzz;
"
"lexEsc15 c s True = (c : [],s) : [];
lexEsc15 c s False = lexEsc14 (c : s);
"
"lexEsc16 (c : s) = lexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexEsc16 zuv = lexEsc14 zuv;
"
The following Function with conditions
"lexLitChar [] = [];
lexLitChar (c : s)|c /= '\'(c : [],s) : []|otherwisemap (prefix '\') (lexEsc s) where {
lexEsc (c : s)|c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : [](c : [],s) : [];
lexEsc ('^' : c : s)|c >= '@' && c <= '_'('^' : c : [],s) : [];
lexEsc ('o' : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc ('x' : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc (vxv : vxw)|isDigit vxvspan isDigit (vxv : vxw) : []|isUpper vxvlexEsc2 (concatMap (lexEsc1 (vxv : vxw)) table);
lexEsc vxx = [];
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vxz = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vyu = [];
;
lexEsc2 (pr : vxy) = pr : [];
lexEsc2 [] = [];
;
prefix c (t,s) = (c : t,s);
;
table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
} 
;
"
is transformed to
"lexLitChar [] = lexLitChar3 [];
lexLitChar (c : s) = lexLitChar2 (c : s);
"
"lexLitChar2 (c : s) = lexLitChar1 c s (c /= '\') where {
lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (yyz : yzw) = lexEsc14 (yyz : yzw);
lexEsc (yyu : s) = lexEsc11 (yyu : s);
lexEsc (yxv : s) = lexEsc8 (yxv : s);
lexEsc (vxv : vxw) = lexEsc6 (vxv : vxw);
lexEsc vxx = lexEsc3 vxx;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vxz = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vyu = [];
;
lexEsc11 (yyu : s) = lexEsc9 (yyu == 'o') (yyu : s);
lexEsc11 yyx = lexEsc8 yyx;
;
lexEsc12 yyz c s True = ('^' : c : [],s) : [];
lexEsc12 yyz c s False = lexEsc11 (yyz : c : s);
;
lexEsc13 True (yyz : c : s) = lexEsc12 yyz c s (c >= '@' && c <= '_');
lexEsc13 yzx yzy = lexEsc11 yzy;
;
lexEsc14 (yyz : yzw) = lexEsc13 (yyz == '^') (yyz : yzw);
lexEsc14 yzz = lexEsc11 yzz;
;
lexEsc15 c s True = (c : [],s) : [];
lexEsc15 c s False = lexEsc14 (c : s);
;
lexEsc16 (c : s) = lexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexEsc16 zuv = lexEsc14 zuv;
;
lexEsc2 (pr : vxy) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vxx = [];
;
lexEsc4 vxv vxw True = lexEsc2 (concatMap (lexEsc1 (vxv : vxw)) table);
lexEsc4 vxv vxw False = lexEsc3 (vxv : vxw);
;
lexEsc5 vxv vxw True = span isDigit (vxv : vxw) : [];
lexEsc5 vxv vxw False = lexEsc4 vxv vxw (isUpper vxv);
;
lexEsc6 (vxv : vxw) = lexEsc5 vxv vxw (isDigit vxv);
lexEsc6 ywz = lexEsc3 ywz;
;
lexEsc7 True (yxv : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 yxw yxx = lexEsc6 yxx;
;
lexEsc8 (yxv : s) = lexEsc7 (yxv == 'x') (yxv : s);
lexEsc8 yxy = lexEsc6 yxy;
;
lexEsc9 True (yyu : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yyv yyw = lexEsc8 yyw;
;
lexLitChar0 c s True = map (prefix '\') (lexEsc s);
;
lexLitChar1 c s True = (c : [],s) : [];
lexLitChar1 c s False = lexLitChar0 c s otherwise;
;
prefix c (t,s) = (c : t,s);
;
table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
} 
;
"
"lexLitChar3 [] = [];
lexLitChar3 zuy = lexLitChar2 zuy;
"

----------------------------------------

(10)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(11) LetRed (EQUIVALENT)
Let/Where Reductions:
The bindings of the following Let/Where expression
"lexLitChar1 c s (c /= '\') where {
lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (yyz : yzw) = lexEsc14 (yyz : yzw);
lexEsc (yyu : s) = lexEsc11 (yyu : s);
lexEsc (yxv : s) = lexEsc8 (yxv : s);
lexEsc (vxv : vxw) = lexEsc6 (vxv : vxw);
lexEsc vxx = lexEsc3 vxx;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vxz = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vyu = [];
;
lexEsc11 (yyu : s) = lexEsc9 (yyu == 'o') (yyu : s);
lexEsc11 yyx = lexEsc8 yyx;
;
lexEsc12 yyz c s True = ('^' : c : [],s) : [];
lexEsc12 yyz c s False = lexEsc11 (yyz : c : s);
;
lexEsc13 True (yyz : c : s) = lexEsc12 yyz c s (c >= '@' && c <= '_');
lexEsc13 yzx yzy = lexEsc11 yzy;
;
lexEsc14 (yyz : yzw) = lexEsc13 (yyz == '^') (yyz : yzw);
lexEsc14 yzz = lexEsc11 yzz;
;
lexEsc15 c s True = (c : [],s) : [];
lexEsc15 c s False = lexEsc14 (c : s);
;
lexEsc16 (c : s) = lexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexEsc16 zuv = lexEsc14 zuv;
;
lexEsc2 (pr : vxy) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vxx = [];
;
lexEsc4 vxv vxw True = lexEsc2 (concatMap (lexEsc1 (vxv : vxw)) table);
lexEsc4 vxv vxw False = lexEsc3 (vxv : vxw);
;
lexEsc5 vxv vxw True = span isDigit (vxv : vxw) : [];
lexEsc5 vxv vxw False = lexEsc4 vxv vxw (isUpper vxv);
;
lexEsc6 (vxv : vxw) = lexEsc5 vxv vxw (isDigit vxv);
lexEsc6 ywz = lexEsc3 ywz;
;
lexEsc7 True (yxv : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 yxw yxx = lexEsc6 yxx;
;
lexEsc8 (yxv : s) = lexEsc7 (yxv == 'x') (yxv : s);
lexEsc8 yxy = lexEsc6 yxy;
;
lexEsc9 True (yyu : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yyv yyw = lexEsc8 yyw;
;
lexLitChar0 c s True = map (prefix '\') (lexEsc s);
;
lexLitChar1 c s True = (c : [],s) : [];
lexLitChar1 c s False = lexLitChar0 c s otherwise;
;
prefix c (t,s) = (c : t,s);
;
table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
} 
"
are unpacked to the following functions on top level
"lexLitChar2LexEsc00 mne ([],s') = (mne,s') : [];
lexLitChar2LexEsc00 mne vxz = [];
"
"lexLitChar2LexEsc4 vxv vxw True = lexLitChar2LexEsc2 (concatMap (lexLitChar2LexEsc1 (vxv : vxw)) lexLitChar2Table);
lexLitChar2LexEsc4 vxv vxw False = lexLitChar2LexEsc3 (vxv : vxw);
"
"lexLitChar2LexEsc0 mne vu69 = lexLitChar2LexEsc00 mne vu69;
"
"lexLitChar2LexEsc9 True (yyu : s) = lexLitChar2Prefix 'o' (span isOctDigit s) : [];
lexLitChar2LexEsc9 yyv yyw = lexLitChar2LexEsc8 yyw;
"
"lexLitChar2Table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
"
"lexLitChar2LexEsc (c : s) = lexLitChar2LexEsc16 (c : s);
lexLitChar2LexEsc (yyz : yzw) = lexLitChar2LexEsc14 (yyz : yzw);
lexLitChar2LexEsc (yyu : s) = lexLitChar2LexEsc11 (yyu : s);
lexLitChar2LexEsc (yxv : s) = lexLitChar2LexEsc8 (yxv : s);
lexLitChar2LexEsc (vxv : vxw) = lexLitChar2LexEsc6 (vxv : vxw);
lexLitChar2LexEsc vxx = lexLitChar2LexEsc3 vxx;
"
"lexLitChar2LexEsc2 (pr : vxy) = pr : [];
lexLitChar2LexEsc2 [] = [];
"
"lexLitChar2LexEsc12 yyz c s True = ('^' : c : [],s) : [];
lexLitChar2LexEsc12 yyz c s False = lexLitChar2LexEsc11 (yyz : c : s);
"
"lexLitChar2LexEsc14 (yyz : yzw) = lexLitChar2LexEsc13 (yyz == '^') (yyz : yzw);
lexLitChar2LexEsc14 yzz = lexLitChar2LexEsc11 yzz;
"
"lexLitChar2LexEsc5 vxv vxw True = span isDigit (vxv : vxw) : [];
lexLitChar2LexEsc5 vxv vxw False = lexLitChar2LexEsc4 vxv vxw (isUpper vxv);
"
"lexLitChar2LexEsc3 vxx = [];
"
"lexLitChar2LexLitChar1 c s True = (c : [],s) : [];
lexLitChar2LexLitChar1 c s False = lexLitChar2LexLitChar0 c s otherwise;
"
"lexLitChar2LexEsc8 (yxv : s) = lexLitChar2LexEsc7 (yxv == 'x') (yxv : s);
lexLitChar2LexEsc8 yxy = lexLitChar2LexEsc6 yxy;
"
"lexLitChar2LexEsc7 True (yxv : s) = lexLitChar2Prefix 'x' (span isHexDigit s) : [];
lexLitChar2LexEsc7 yxw yxx = lexLitChar2LexEsc6 yxx;
"
"lexLitChar2LexEsc16 (c : s) = lexLitChar2LexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexLitChar2LexEsc16 zuv = lexLitChar2LexEsc14 zuv;
"
"lexLitChar2LexEsc6 (vxv : vxw) = lexLitChar2LexEsc5 vxv vxw (isDigit vxv);
lexLitChar2LexEsc6 ywz = lexLitChar2LexEsc3 ywz;
"
"lexLitChar2LexEsc15 c s True = (c : [],s) : [];
lexLitChar2LexEsc15 c s False = lexLitChar2LexEsc14 (c : s);
"
"lexLitChar2LexEsc1 s vu70 = lexLitChar2LexEsc10 s vu70;
"
"lexLitChar2LexEsc11 (yyu : s) = lexLitChar2LexEsc9 (yyu == 'o') (yyu : s);
lexLitChar2LexEsc11 yyx = lexLitChar2LexEsc8 yyx;
"
"lexLitChar2LexEsc10 s (c,mne) = concatMap (lexLitChar2LexEsc0 mne) (lexmatch mne s : []);
lexLitChar2LexEsc10 s vyu = [];
"
"lexLitChar2LexEsc13 True (yyz : c : s) = lexLitChar2LexEsc12 yyz c s (c >= '@' && c <= '_');
lexLitChar2LexEsc13 yzx yzy = lexLitChar2LexEsc11 yzy;
"
"lexLitChar2LexLitChar0 c s True = map (lexLitChar2Prefix '\') (lexLitChar2LexEsc s);
"
"lexLitChar2Prefix c (t,s) = (c : t,s);
"
The bindings of the following Let/Where expression
"concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 ww = [];
;
lexStrItem (wvv : wvz) = lexStrItem7 (wvv : wvz);
lexStrItem (vzz : wuw) = lexStrItem4 (vzz : wuw);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (wxu : t) = lexStrItem002 (wxu : t);
lexStrItem00 wv = lexStrItem000 wv;
;
lexStrItem000 wv = [];
;
lexStrItem001 True (wxu : t) = ([],t) : [];
lexStrItem001 wxv wxw = lexStrItem000 wxw;
;
lexStrItem002 (wxu : t) = lexStrItem001 (wxu == '\') (wxu : t);
lexStrItem002 wxx = lexStrItem000 wxx;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 vzz c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 vzz c s False = lexStrItem1 (vzz : c : s);
;
lexStrItem3 True (vzz : c : s) = lexStrItem2 vzz c s (isSpace c);
lexStrItem3 wux wuy = lexStrItem1 wuy;
;
lexStrItem4 (vzz : wuw) = lexStrItem3 (vzz == '\') (vzz : wuw);
lexStrItem4 wuz = lexStrItem1 wuz;
;
lexStrItem5 True (wvv : wvx : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwu wwv = lexStrItem4 wwv;
;
lexStrItem6 True (wvv : wvx : s) = lexStrItem5 (wvx == '&') (wvv : wvx : s);
lexStrItem6 www wwx = lexStrItem4 wwx;
;
lexStrItem7 (wvv : wvz) = lexStrItem6 (wvv == '\') (wvv : wvz);
lexStrItem7 wwy = lexStrItem4 wwy;
;
lexString (vzu : s) = lexString4 (vzu : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vz = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wu = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (vzu : s) = ('"' : [],s) : [];
lexString3 vzv vzw = lexString2 vzw;
;
lexString4 (vzu : s) = lexString3 (vzu == '"') (vzu : s);
lexString4 vzx = lexString2 vzx;
} 
"
are unpacked to the following functions on top level
"lex13LexStrItem3 True (vzz : c : s) = lex13LexStrItem2 vzz c s (isSpace c);
lex13LexStrItem3 wux wuy = lex13LexStrItem1 wuy;
"
"lex13LexStrItem002 (wxu : t) = lex13LexStrItem001 (wxu == '\') (wxu : t);
lex13LexStrItem002 wxx = lex13LexStrItem000 wxx;
"
"lex13LexStrItem4 (vzz : wuw) = lex13LexStrItem3 (vzz == '\') (vzz : wuw);
lex13LexStrItem4 wuz = lex13LexStrItem1 wuz;
"
"lex13Lex10 (str,t) = ('"' : str,t) : [];
lex13Lex10 ww = [];
"
"lex13LexStrItem0 vu58 = lex13LexStrItem00 vu58;
"
"lex13LexStrItem2 vzz c s True = concatMap lex13LexStrItem0 (dropWhile isSpace s : []);
lex13LexStrItem2 vzz c s False = lex13LexStrItem1 (vzz : c : s);
"
"lex13LexString4 (vzu : s) = lex13LexString3 (vzu == '"') (vzu : s);
lex13LexString4 vzx = lex13LexString2 vzx;
"
"lex13LexStrItem000 wv = [];
"
"lex13LexStrItem001 True (wxu : t) = ([],t) : [];
lex13LexStrItem001 wxv wxw = lex13LexStrItem000 wxw;
"
"lex13LexString0 ch vu56 = lex13LexString00 ch vu56;
"
"lex13LexString2 s = concatMap lex13LexString1 (lex13LexStrItem s);
"
"lex13LexStrItem6 True (wvv : wvx : s) = lex13LexStrItem5 (wvx == '&') (wvv : wvx : s);
lex13LexStrItem6 www wwx = lex13LexStrItem4 wwx;
"
"lex13LexString (vzu : s) = lex13LexString4 (vzu : s);
lex13LexString s = lex13LexString2 s;
"
"lex13LexStrItem1 s = lexLitChar s;
"
"lex13LexStrItem5 True (wvv : wvx : s) = ('\' : '&' : [],s) : [];
lex13LexStrItem5 wwu wwv = lex13LexStrItem4 wwv;
"
"lex13LexString1 vu57 = lex13LexString10 vu57;
"
"lex13Lex1 vu55 = lex13Lex10 vu55;
"
"lex13LexStrItem00 (wxu : t) = lex13LexStrItem002 (wxu : t);
lex13LexStrItem00 wv = lex13LexStrItem000 wv;
"
"lex13LexStrItem7 (wvv : wvz) = lex13LexStrItem6 (wvv == '\') (wvv : wvz);
lex13LexStrItem7 wwy = lex13LexStrItem4 wwy;
"
"lex13LexString3 True (vzu : s) = ('"' : [],s) : [];
lex13LexString3 vzv vzw = lex13LexString2 vzw;
"
"lex13LexString10 (ch,t) = concatMap (lex13LexString0 ch) (lex13LexString t);
lex13LexString10 wu = [];
"
"lex13LexString00 ch (str,u) = (ch ++ str,u) : [];
lex13LexString00 ch vz = [];
"
"lex13LexStrItem (wvv : wvz) = lex13LexStrItem7 (wvv : wvz);
lex13LexStrItem (vzz : wuw) = lex13LexStrItem4 (vzz : wuw);
lex13LexStrItem s = lex13LexStrItem1 s;
"
The bindings of the following Let/Where expression
"span1 p zu zv (p zu) where {
span0 p zu zv True = ([],zu : zv);
;
span1 p zu zv True = (zu : ys,zs);
span1 p zu zv False = span0 p zu zv otherwise;
;
vu43  = span p zv;
;
ys  = ys0 vu43;
;
ys0 (ys,zx) = ys;
;
zs  = zs0 vu43;
;
zs0 (zw,zs) = zs;
} 
"
are unpacked to the following functions on top level
"span2Vu43 zuz zvu = span zuz zvu;
"
"span2Span0 zuz zvu p zu zv True = ([],zu : zv);
"
"span2Zs0 zuz zvu (zw,zs) = zs;
"
"span2Ys0 zuz zvu (ys,zx) = ys;
"
"span2Zs zuz zvu = span2Zs0 zuz zvu (span2Vu43 zuz zvu);
"
"span2Ys zuz zvu = span2Ys0 zuz zvu (span2Vu43 zuz zvu);
"
"span2Span1 zuz zvu p zu zv True = (zu : span2Ys zuz zvu,span2Zs zuz zvu);
span2Span1 zuz zvu p zu zv False = span2Span0 zuz zvu p zu zv otherwise;
"
The bindings of the following Let/Where expression
"lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex11 c s True = (c : [],s) : [];
lex11 c s False = lex9 c s (isSym c);
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c xy = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xz = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xw = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xx = [];
;
lex6 c s True = [];
;
lex7 c s True = concatMap (lex5 c) (span isDigit s : []);
lex7 c s False = lex6 c s otherwise;
;
lex8 c s True = concatMap (lex3 c) (span isIdChar s : []);
lex8 c s False = lex7 c s (isDigit c);
;
lex9 c s True = concatMap (lex2 c) (span isSym s : []);
lex9 c s False = lex8 c s (isAlpha c);
;
lexExp (e : s) = lexExp5 (e : s);
lexExp s = lexExp3 s;
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c wx = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e wz = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e wy = [];
;
lexExp3 s = ([],s) : [];
;
lexExp4 e s True = concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp4 e s False = lexExp3 (e : s);
;
lexExp5 (e : s) = lexExp4 e s (e `elem` 'e' : 'E' : []);
lexExp5 wxz = lexExp3 wxz;
;
lexFracExp (wyv : wyy) = lexFracExp5 (wyv : wyy);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xv = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xu = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 wyv c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyv c cs False = lexFracExp2 (wyv : c : cs);
;
lexFracExp4 True (wyv : c : cs) = lexFracExp3 wyv c cs (isDigit c);
lexFracExp4 wyz wzu = lexFracExp2 wzu;
;
lexFracExp5 (wyv : wyy) = lexFracExp4 (wyv == '.') (wyv : wyy);
lexFracExp5 wzv = lexFracExp2 wzv;
} 
"
are unpacked to the following functions on top level
"lex12Lex8 c s True = concatMap (lex12Lex3 c) (span lex12IsIdChar s : []);
lex12Lex8 c s False = lex12Lex7 c s (isDigit c);
"
"lex12LexExp3 s = ([],s) : [];
"
"lex12LexFracExp2 s = lex12LexExp s;
"
"lex12LexFracExp10 (ds,t) = concatMap (lex12LexFracExp0 ds) (lex12LexExp t);
lex12LexFracExp10 xu = [];
"
"lex12LexFracExp5 (wyv : wyy) = lex12LexFracExp4 (wyv == '.') (wyv : wyy);
lex12LexFracExp5 wzv = lex12LexFracExp2 wzv;
"
"lex12Lex20 c (sym,t) = (c : sym,t) : [];
lex12Lex20 c xy = [];
"
"lex12IsIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
"
"lex12LexExp (e : s) = lex12LexExp5 (e : s);
lex12LexExp s = lex12LexExp3 s;
"
"lex12Lex30 c (nam,t) = (c : nam,t) : [];
lex12Lex30 c xz = [];
"
"lex12LexExp2 e vu67 = lex12LexExp20 e vu67;
"
"lex12Lex7 c s True = concatMap (lex12Lex5 c) (span isDigit s : []);
lex12Lex7 c s False = lex12Lex6 c s otherwise;
"
"lex12Lex3 c vu60 = lex12Lex30 c vu60;
"
"lex12Lex9 c s True = concatMap (lex12Lex2 c) (span lex12IsSym s : []);
lex12Lex9 c s False = lex12Lex8 c s (isAlpha c);
"
"lex12Lex50 c (ds,s) = concatMap (lex12Lex4 c ds) (lex12LexFracExp s);
lex12Lex50 c xx = [];
"
"lex12LexFracExp4 True (wyv : c : cs) = lex12LexFracExp3 wyv c cs (isDigit c);
lex12LexFracExp4 wyz wzu = lex12LexFracExp2 wzu;
"
"lex12LexExp1 e vu66 = lex12LexExp10 e vu66;
"
"lex12LexExp100 e c t True = concatMap (lex12LexExp0 e c) (lexDigits t);
lex12LexExp100 e c t False = [];
"
"lex12Lex11 c s True = (c : [],s) : [];
lex12Lex11 c s False = lex12Lex9 c s (lex12IsSym c);
"
"lex12IsSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
"
"lex12Lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex12Lex40 c ds xw = [];
"
"lex12IsSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
"
"lex12LexExp10 e (c : t) = lex12LexExp100 e c t (c `elem` '+' : '-' : []);
lex12LexExp10 e wz = [];
"
"lex12Lex5 c vu62 = lex12Lex50 c vu62;
"
"lex12LexFracExp1 vu64 = lex12LexFracExp10 vu64;
"
"lex12LexFracExp (wyv : wyy) = lex12LexFracExp5 (wyv : wyy);
lex12LexFracExp s = lex12LexFracExp2 s;
"
"lex12LexExp00 e c (ds,u) = (e : c : ds,u) : [];
lex12LexExp00 e c wx = [];
"
"lex12LexFracExp3 wyv c cs True = concatMap lex12LexFracExp1 (lexDigits (c : cs));
lex12LexFracExp3 wyv c cs False = lex12LexFracExp2 (wyv : c : cs);
"
"lex12Lex4 c ds vu61 = lex12Lex40 c ds vu61;
"
"lex12LexFracExp0 ds vu63 = lex12LexFracExp00 ds vu63;
"
"lex12LexExp20 e (ds,t) = (e : ds,t) : [];
lex12LexExp20 e wy = [];
"
"lex12LexExp4 e s True = concatMap (lex12LexExp1 e) (s : []) ++ concatMap (lex12LexExp2 e) (lexDigits s);
lex12LexExp4 e s False = lex12LexExp3 (e : s);
"
"lex12LexExp5 (e : s) = lex12LexExp4 e s (e `elem` 'e' : 'E' : []);
lex12LexExp5 wxz = lex12LexExp3 wxz;
"
"lex12LexExp0 e c vu65 = lex12LexExp00 e c vu65;
"
"lex12Lex2 c vu59 = lex12Lex20 c vu59;
"
"lex12LexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lex12LexFracExp00 ds xv = [];
"
"lex12Lex6 c s True = [];
"
The bindings of the following Let/Where expression
"readParen0 b where {
mandatory r = concatMap mandatory2 (lex r);
;
mandatory0 x vu48 = mandatory00 x vu48;
;
mandatory00 x (yuw : yux,u) = mandatory002 x (yuw : yux,u);
mandatory00 x vwu = mandatory000 x vwu;
;
mandatory000 x vwu = [];
;
mandatory001 True x (yuw : [],u) = (x,u) : [];
mandatory001 yuy yuz yvu = mandatory000 yuz yvu;
;
mandatory002 x (yuw : yux,u) = mandatory001 (yuw == ')') x (yuw : yux,u);
mandatory002 yvv yvw = mandatory000 yvv yvw;
;
mandatory1 vu49 = mandatory10 vu49;
;
mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 vwv = [];
;
mandatory2 vu50 = mandatory20 vu50;
;
mandatory20 (xzv : xzw,s) = mandatory202 (xzv : xzw,s);
mandatory20 vvz = mandatory200 vvz;
;
mandatory200 vvz = [];
;
mandatory201 True (xzv : [],s) = concatMap mandatory1 (optional s);
mandatory201 xzx xzy = mandatory200 xzy;
;
mandatory202 (xzv : xzw,s) = mandatory201 (xzv == '(') (xzv : xzw,s);
mandatory202 xzz = mandatory200 xzz;
;
optional r = g r ++ mandatory r;
;
readParen0 True = mandatory;
readParen0 False = optional;
} 
"
are unpacked to the following functions on top level
"readParenMandatory000 zvv x vwu = [];
"
"readParenMandatory200 zvv vvz = [];
"
"readParenMandatory00 zvv x (yuw : yux,u) = readParenMandatory002 zvv x (yuw : yux,u);
readParenMandatory00 zvv x vwu = readParenMandatory000 zvv x vwu;
"
"readParenMandatory0 zvv x vu48 = readParenMandatory00 zvv x vu48;
"
"readParenMandatory001 zvv True x (yuw : [],u) = (x,u) : [];
readParenMandatory001 zvv yuy yuz yvu = readParenMandatory000 zvv yuz yvu;
"
"readParenMandatory zvv r = concatMap (readParenMandatory2 zvv) (lex r);
"
"readParenMandatory20 zvv (xzv : xzw,s) = readParenMandatory202 zvv (xzv : xzw,s);
readParenMandatory20 zvv vvz = readParenMandatory200 zvv vvz;
"
"readParenMandatory10 zvv (x,t) = concatMap (readParenMandatory0 zvv x) (lex t);
readParenMandatory10 zvv vwv = [];
"
"readParenMandatory002 zvv x (yuw : yux,u) = readParenMandatory001 zvv (yuw == ')') x (yuw : yux,u);
readParenMandatory002 zvv yvv yvw = readParenMandatory000 zvv yvv yvw;
"
"readParenMandatory201 zvv True (xzv : [],s) = concatMap (readParenMandatory1 zvv) (readParenOptional zvv s);
readParenMandatory201 zvv xzx xzy = readParenMandatory200 zvv xzy;
"
"readParenOptional zvv r = zvv r ++ readParenMandatory zvv r;
"
"readParenReadParen0 zvv True = readParenMandatory zvv;
readParenReadParen0 zvv False = readParenOptional zvv;
"
"readParenMandatory2 zvv vu50 = readParenMandatory20 zvv vu50;
"
"readParenMandatory1 zvv vu49 = readParenMandatory10 zvv vu49;
"
"readParenMandatory202 zvv (xzv : xzw,s) = readParenMandatory201 zvv (xzv == '(') (xzv : xzw,s);
readParenMandatory202 zvv xzz = readParenMandatory200 zvv xzz;
"
The bindings of the following Let/Where expression
"readParen False read' where {
read' r = read'' r ++ concatMap read'1 (lex r);
;
read'' r = concatMap (read''1 readPos) (lex r);
;
read''0 s vu80 = read''00 s vu80;
;
read''00 s (n,[]) = (n,s) : [];
read''00 s vwx = [];
;
read''1 readPos vu81 = read''10 readPos vu81;
;
read''10 readPos (str,s) = concatMap (read''0 s) (readPos str);
read''10 readPos vww = [];
;
read'0 vu78 = read'00 vu78;
;
read'00 (x,t) = (`negate` x,t) : [];
read'00 vwz = [];
;
read'1 vu79 = read'10 vu79;
;
read'10 (yvz : ywu,s) = read'102 (yvz : ywu,s);
read'10 vwy = read'100 vwy;
;
read'100 vwy = [];
;
read'101 True (yvz : [],s) = concatMap read'0 (read'' s);
read'101 ywv yww = read'100 yww;
;
read'102 (yvz : ywu,s) = read'101 (yvz == '-') (yvz : ywu,s);
read'102 ywx = read'100 ywx;
} 
"
are unpacked to the following functions on top level
"readSignedRead'100 zvw vwy = [];
"
"readSignedRead'102 zvw (yvz : ywu,s) = readSignedRead'101 zvw (yvz == '-') (yvz : ywu,s);
readSignedRead'102 zvw ywx = readSignedRead'100 zvw ywx;
"
"readSignedRead''1 zvw readPos vu81 = readSignedRead''10 zvw readPos vu81;
"
"readSignedRead'1 zvw vu79 = readSignedRead'10 zvw vu79;
"
"readSignedRead'101 zvw True (yvz : [],s) = concatMap (readSignedRead'0 zvw) (readSignedRead'' zvw s);
readSignedRead'101 zvw ywv yww = readSignedRead'100 zvw yww;
"
"readSignedRead' zvw r = readSignedRead'' zvw r ++ concatMap (readSignedRead'1 zvw) (lex r);
"
"readSignedRead''00 zvw s (n,[]) = (n,s) : [];
readSignedRead''00 zvw s vwx = [];
"
"readSignedRead'10 zvw (yvz : ywu,s) = readSignedRead'102 zvw (yvz : ywu,s);
readSignedRead'10 zvw vwy = readSignedRead'100 zvw vwy;
"
"readSignedRead'' zvw r = concatMap (readSignedRead''1 zvw zvw) (lex r);
"
"readSignedRead'00 zvw (x,t) = (`negate` x,t) : [];
readSignedRead'00 zvw vwz = [];
"
"readSignedRead''10 zvw readPos (str,s) = concatMap (readSignedRead''0 zvw s) (readPos str);
readSignedRead''10 zvw readPos vww = [];
"
"readSignedRead'0 zvw vu78 = readSignedRead'00 zvw vu78;
"
"readSignedRead''0 zvw s vu80 = readSignedRead''00 zvw s vu80;
"
The bindings of the following Let/Where expression
"getChar >>= getLine1 where {
getLine0 c ls = return (c : ls);
;
getLine1 c = getLine10 c (c == '\10');
;
getLine10 c True = return [];
getLine10 c False = getRest >>= getLine0 c;
;
getRest  = catch getChar getRest0 >>= getRest2;
;
getRest0 ex = getRest00 ex (isEOFError ex);
;
getRest00 ex True = return '\10';
getRest00 ex False = ioError ex;
;
getRest1 c cs = return (c : cs);
;
getRest2 c = getRest20 c (c == '\10');
;
getRest20 c True = return [];
getRest20 c False = getRest >>= getRest1 c;
} 
"
are unpacked to the following functions on top level
"getLineGetLine10 c True = return [];
getLineGetLine10 c False = getLineGetRest >>= getLineGetLine0 c;
"
"getLineGetLine1 c = getLineGetLine10 c (c == '\10');
"
"getLineGetLine0 c ls = return (c : ls);
"
"getLineGetRest2 c = getLineGetRest20 c (c == '\10');
"
"getLineGetRest20 c True = return [];
getLineGetRest20 c False = getLineGetRest >>= getLineGetRest1 c;
"
"getLineGetRest1 c cs = return (c : cs);
"
"getLineGetRest  = catch getChar getLineGetRest0 >>= getLineGetRest2;
"
"getLineGetRest0 ex = getLineGetRest00 ex (isEOFError ex);
"
"getLineGetRest00 ex True = return '\10';
getLineGetRest00 ex False = ioError ex;
"

----------------------------------------

(12)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}

----------------------------------------

(13) NumRed (SOUND)
Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
----------------------------------------

(14)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}