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


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


MAYBE
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 0 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 42 ms]
(12) HASKELL
(13) NumRed [SOUND, 0 ms]
(14) HASKELL


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

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

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

(1) LR (EQUIVALENT)
Lambda Reductions:
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
"\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
"\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;
"
The following Lambda expression
"\vu22->case vu22 of {
(')' : [],t)  -> ((),t) : [];
_  -> []}
"
is transformed to
"readsPrec0 vu22 = case vu22 of {
(')' : [],t)  -> ((),t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu23->case vu23 of {
('(' : [],s)  -> concatMap readsPrec0 (lex s);
_  -> []}
"
is transformed to
"readsPrec1 vu23 = case vu23 of {
('(' : [],s)  -> concatMap readsPrec0 (lex s);
_  -> []}
;
"
The following Lambda expression
"\r->concatMap readsPrec1 (lex r)"
is transformed to
"readsPrec2 r = concatMap readsPrec1 (lex r);
"

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

(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 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 vu23 of {
('(' : [],s)  -> concatMap readsPrec0 (lex s);
_  -> []}
"
is transformed to
"readsPrec10 ('(' : [],s) = concatMap readsPrec0 (lex s);
readsPrec10 _ = [];
"
The following Case expression
"case vu22 of {
(')' : [],t)  -> ((),t) : [];
_  -> []}
"
is transformed to
"readsPrec00 (')' : [],t) = ((),t) : [];
readsPrec00 _ = [];
"
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 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
"cs@(vx : vy)"
is replaced by the following term
"vx : vy"
The bind variable of the following binding Pattern
"xs@(vuy : vuz)"
is replaced by the following term
"vuy : vuz"
The bind variable of the following binding Pattern
"s@(vvx : vvy)"
is replaced by the following term
"vvx : vvy"
The bind variable of the following binding Pattern
"xs@(vwx : vwy)"
is replaced by the following term
"vwx : vwy"

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

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

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

(9) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"readsPrec00 (')' : [],t) = ((),t) : [];
readsPrec00 wu = [];
"
is transformed to
"readsPrec00 (vyu : vyv,t) = readsPrec002 (vyu : vyv,t);
readsPrec00 wu = readsPrec000 wu;
"
"readsPrec000 wu = [];
"
"readsPrec001 True (vyu : [],t) = ((),t) : [];
readsPrec001 vyw vyx = readsPrec000 vyx;
"
"readsPrec002 (vyu : vyv,t) = readsPrec001 (vyu == ')') (vyu : vyv,t);
readsPrec002 vyy = readsPrec000 vyy;
"
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 vzv vzw = takeWhile2 vzv vzw;
"
The following Function with conditions
"lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
"
is transformed to
"lexString (vzy : s) = lexString4 (vzy : s);
lexString s = lexString2 s;
"
"lexString2 s = concatMap lexString1 (lexStrItem s);
"
"lexString3 True (vzy : s) = ('"' : [],s) : [];
lexString3 vzz wuu = lexString2 wuu;
"
"lexString4 (vzy : s) = lexString3 (vzy == '"') (vzy : s);
lexString4 wuv = lexString2 wuv;
"
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 (wvz : wwx) = lexStrItem7 (wvz : wwx);
lexStrItem (wux : wvu) = lexStrItem4 (wux : wvu);
lexStrItem s = lexStrItem1 s;
"
"lexStrItem1 s = lexLitChar s;
"
"lexStrItem2 wux c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wux c s False = lexStrItem1 (wux : c : s);
"
"lexStrItem3 True (wux : c : s) = lexStrItem2 wux c s (isSpace c);
lexStrItem3 wvv wvw = lexStrItem1 wvw;
"
"lexStrItem4 (wux : wvu) = lexStrItem3 (wux == '\') (wux : wvu);
lexStrItem4 wvx = lexStrItem1 wvx;
"
"lexStrItem5 True (wvz : wwv : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwy wwz = lexStrItem4 wwz;
"
"lexStrItem6 True (wvz : wwv : s) = lexStrItem5 (wwv == '&') (wvz : wwv : s);
lexStrItem6 wxu wxv = lexStrItem4 wxv;
"
"lexStrItem7 (wvz : wwx) = lexStrItem6 (wvz == '\') (wvz : wwx);
lexStrItem7 wxw = lexStrItem4 wxw;
"
The following Function with conditions
"lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 wy = [];
"
is transformed to
"lexStrItem00 (wxy : t) = lexStrItem002 (wxy : t);
lexStrItem00 wy = lexStrItem000 wy;
"
"lexStrItem000 wy = [];
"
"lexStrItem001 True (wxy : t) = ([],t) : [];
lexStrItem001 wxz wyu = lexStrItem000 wyu;
"
"lexStrItem002 (wxy : t) = lexStrItem001 (wxy == '\') (wxy : t);
lexStrItem002 wyv = lexStrItem000 wyv;
"
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 wyx = lexExp3 wyx;
"
The following Function with conditions
"lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
"
is transformed to
"lexFracExp (wyz : wzw) = lexFracExp5 (wyz : wzw);
lexFracExp s = lexFracExp2 s;
"
"lexFracExp2 s = lexExp s;
"
"lexFracExp3 wyz c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyz c cs False = lexFracExp2 (wyz : c : cs);
"
"lexFracExp4 True (wyz : c : cs) = lexFracExp3 wyz c cs (isDigit c);
lexFracExp4 wzx wzy = lexFracExp2 wzy;
"
"lexFracExp5 (wyz : wzw) = lexFracExp4 (wyz == '.') (wyz : wzw);
lexFracExp5 wzz = lexFracExp2 wzz;
"
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 wz = [];
;
lexStrItem ('\' : '&' : s) = ('\' : '&' : [],s) : [];
lexStrItem ('\' : c : s)|isSpace cconcatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem s = lexLitChar s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 wy = [];
;
lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch ww = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wx = [];
} 
;
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` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c yv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yu = [];
;
lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c xu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xw = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e xv = [];
;
lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xx = [];
} 
;
"
is transformed to
"lex [] = lex19 [];
lex (c : s) = lex18 (c : s);
lex (xvv : s) = lex16 (xvv : s);
lex (xuw : s) = lex14 (xuw : s);
lex (c : s) = lex12 (c : s);
"
"lex12 (c : s) = lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
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 yv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yu = [];
;
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 xu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xw = [];
;
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 xv = [];
;
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 wyx = lexExp3 wyx;
;
lexFracExp (wyz : wzw) = lexFracExp5 (wyz : wzw);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xx = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 wyz c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyz c cs False = lexFracExp2 (wyz : c : cs);
;
lexFracExp4 True (wyz : c : cs) = lexFracExp3 wyz c cs (isDigit c);
lexFracExp4 wzx wzy = lexFracExp2 wzy;
;
lexFracExp5 (wyz : wzw) = lexFracExp4 (wyz == '.') (wyz : wzw);
lexFracExp5 wzz = lexFracExp2 wzz;
} 
;
"
"lex13 True (xuw : s) = concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 wz = [];
;
lexStrItem (wvz : wwx) = lexStrItem7 (wvz : wwx);
lexStrItem (wux : wvu) = lexStrItem4 (wux : wvu);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (wxy : t) = lexStrItem002 (wxy : t);
lexStrItem00 wy = lexStrItem000 wy;
;
lexStrItem000 wy = [];
;
lexStrItem001 True (wxy : t) = ([],t) : [];
lexStrItem001 wxz wyu = lexStrItem000 wyu;
;
lexStrItem002 (wxy : t) = lexStrItem001 (wxy == '\') (wxy : t);
lexStrItem002 wyv = lexStrItem000 wyv;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 wux c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wux c s False = lexStrItem1 (wux : c : s);
;
lexStrItem3 True (wux : c : s) = lexStrItem2 wux c s (isSpace c);
lexStrItem3 wvv wvw = lexStrItem1 wvw;
;
lexStrItem4 (wux : wvu) = lexStrItem3 (wux == '\') (wux : wvu);
lexStrItem4 wvx = lexStrItem1 wvx;
;
lexStrItem5 True (wvz : wwv : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwy wwz = lexStrItem4 wwz;
;
lexStrItem6 True (wvz : wwv : s) = lexStrItem5 (wwv == '&') (wvz : wwv : s);
lexStrItem6 wxu wxv = lexStrItem4 wxv;
;
lexStrItem7 (wvz : wwx) = lexStrItem6 (wvz == '\') (wvz : wwx);
lexStrItem7 wxw = lexStrItem4 wxw;
;
lexString (vzy : s) = lexString4 (vzy : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch ww = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wx = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (vzy : s) = ('"' : [],s) : [];
lexString3 vzz wuu = lexString2 wuu;
;
lexString4 (vzy : s) = lexString3 (vzy == '"') (vzy : s);
lexString4 wuv = lexString2 wuv;
} 
;
lex13 xux xuy = lex12 xuy;
"
"lex14 (xuw : s) = lex13 (xuw == '"') (xuw : s);
lex14 xuz = lex12 xuz;
"
"lex15 True (xvv : s) = concatMap lex0 (lexLitChar s);
lex15 xvw xvx = lex14 xvx;
"
"lex16 (xvv : s) = lex15 (xvv == ''') (xvv : s);
lex16 xvy = lex14 xvy;
"
"lex17 c s True = lex (dropWhile isSpace s);
lex17 c s False = lex16 (c : s);
"
"lex18 (c : s) = lex17 c s (isSpace c);
lex18 xwu = lex16 xwu;
"
"lex19 [] = ([],[]) : [];
lex19 xww = lex18 xww;
"
The following Function with conditions
"readsPrec10 ('(' : [],s) = concatMap readsPrec0 (lex s);
readsPrec10 yy = [];
"
is transformed to
"readsPrec10 (xwz : xxu,s) = readsPrec102 (xwz : xxu,s);
readsPrec10 yy = readsPrec100 yy;
"
"readsPrec100 yy = [];
"
"readsPrec101 True (xwz : [],s) = concatMap readsPrec0 (lex s);
readsPrec101 xxv xxw = readsPrec100 xxw;
"
"readsPrec102 (xwz : xxu,s) = readsPrec101 (xwz == '(') (xwz : xxu,s);
readsPrec102 xxx = readsPrec100 xxx;
"
The following Function with conditions
"getChar |terminatorreturn terminator|otherwiseaIOE IOError_EOF;
"
is transformed to
"getChar  = getChar2;
"
"getChar1 True = return terminator;
getChar1 False = getChar0 otherwise;
"
"getChar0 True = aIOE IOError_EOF;
"
"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 xyu xyv = lexmatch0 xyu xyv;
"
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"
The following Function with conditions
"mandatory20 ('(' : [],s) = concatMap mandatory1 (optional s);
mandatory20 vuv = [];
"
is transformed to
"mandatory20 (xyy : xyz,s) = mandatory202 (xyy : xyz,s);
mandatory20 vuv = mandatory200 vuv;
"
"mandatory200 vuv = [];
"
"mandatory201 True (xyy : [],s) = concatMap mandatory1 (optional s);
mandatory201 xzu xzv = mandatory200 xzv;
"
"mandatory202 (xyy : xyz,s) = mandatory201 (xyy == '(') (xyy : xyz,s);
mandatory202 xzw = mandatory200 xzw;
"
The following Function with conditions
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x vuw = [];
"
is transformed to
"mandatory00 x (xzz : yuu,u) = mandatory002 x (xzz : yuu,u);
mandatory00 x vuw = mandatory000 x vuw;
"
"mandatory000 x vuw = [];
"
"mandatory001 True x (xzz : [],u) = (x,u) : [];
mandatory001 yuv yuw yux = mandatory000 yuw yux;
"
"mandatory002 x (xzz : yuu,u) = mandatory001 (xzz == ')') x (xzz : yuu,u);
mandatory002 yuy yuz = mandatory000 yuy yuz;
"
The following Function with conditions
"dropWhile p [] = [];
dropWhile p (vuy : vuz)|p vuydropWhile p vuz|otherwisevuy : vuz;
"
is transformed to
"dropWhile p [] = dropWhile3 p [];
dropWhile p (vuy : vuz) = dropWhile2 p (vuy : vuz);
"
"dropWhile1 p vuy vuz True = dropWhile p vuz;
dropWhile1 p vuy vuz False = dropWhile0 p vuy vuz otherwise;
"
"dropWhile0 p vuy vuz True = vuy : vuz;
"
"dropWhile2 p (vuy : vuz) = dropWhile1 p vuy vuz (p vuy);
"
"dropWhile3 p [] = [];
dropWhile3 yvw yvx = dropWhile2 yvw yvx;
"
The following Function with conditions
"lex00 (ch,''' : t) = lex000 ch t (ch /= ''' : []);
lex00 vvv = [];
"
is transformed to
"lex00 (ch,ywu : t) = lex003 (ch,ywu : t);
lex00 vvv = lex001 vvv;
"
"lex001 vvv = [];
"
"lex002 True (ch,ywu : t) = lex000 ch t (ch /= ''' : []);
lex002 ywv yww = lex001 yww;
"
"lex003 (ch,ywu : t) = lex002 (ywu == ''') (ch,ywu : t);
lex003 ywx = lex001 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 (vvx : vvy)|isDigit vvxspan isDigit (vvx : vvy) : []|isUpper vvxlexEsc2 (concatMap (lexEsc1 (vvx : vvy)) table);
lexEsc vvz = [];
"
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 (vvx : vvy) = lexEsc6 (vvx : vvy);
lexEsc vvz = lexEsc3 vvz;
"
"lexEsc3 vvz = [];
"
"lexEsc5 vvx vvy True = span isDigit (vvx : vvy) : [];
lexEsc5 vvx vvy False = lexEsc4 vvx vvy (isUpper vvx);
"
"lexEsc4 vvx vvy True = lexEsc2 (concatMap (lexEsc1 (vvx : vvy)) table);
lexEsc4 vvx vvy False = lexEsc3 (vvx : vvy);
"
"lexEsc6 (vvx : vvy) = lexEsc5 vvx vvy (isDigit vvx);
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 (vvx : vvy)|isDigit vvxspan isDigit (vvx : vvy) : []|isUpper vvxlexEsc2 (concatMap (lexEsc1 (vvx : vvy)) table);
lexEsc vvz = [];
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwv = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vww = [];
;
lexEsc2 (pr : vwu) = 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 (vvx : vvy) = lexEsc6 (vvx : vvy);
lexEsc vvz = lexEsc3 vvz;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwv = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vww = [];
;
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 : vwu) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vvz = [];
;
lexEsc4 vvx vvy True = lexEsc2 (concatMap (lexEsc1 (vvx : vvy)) table);
lexEsc4 vvx vvy False = lexEsc3 (vvx : vvy);
;
lexEsc5 vvx vvy True = span isDigit (vvx : vvy) : [];
lexEsc5 vvx vvy False = lexEsc4 vvx vvy (isUpper vvx);
;
lexEsc6 (vvx : vvy) = lexEsc5 vvx vvy (isDigit vvx);
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;
"
The following Function with conditions
"span p [] = ([],[]);
span p (vwx : vwy)|p vwx(vwx : ys,zs)|otherwise([],vwx : vwy) where {
vu43  = span p vwy;
;
ys  = ys0 vu43;
;
ys0 (ys,vxu) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwz,zs) = zs;
} 
;
"
is transformed to
"span p [] = span3 p [];
span p (vwx : vwy) = span2 p (vwx : vwy);
"
"span2 p (vwx : vwy) = span1 p vwx vwy (p vwx) where {
span0 p vwx vwy True = ([],vwx : vwy);
;
span1 p vwx vwy True = (vwx : ys,zs);
span1 p vwx vwy False = span0 p vwx vwy otherwise;
;
vu43  = span p vwy;
;
ys  = ys0 vu43;
;
ys0 (ys,vxu) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwz,zs) = zs;
} 
;
"
"span3 p [] = ([],[]);
span3 zvv zvw = span2 zvv zvw;
"

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

(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 (vvx : vvy) = lexEsc6 (vvx : vvy);
lexEsc vvz = lexEsc3 vvz;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwv = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vww = [];
;
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 : vwu) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vvz = [];
;
lexEsc4 vvx vvy True = lexEsc2 (concatMap (lexEsc1 (vvx : vvy)) table);
lexEsc4 vvx vvy False = lexEsc3 (vvx : vvy);
;
lexEsc5 vvx vvy True = span isDigit (vvx : vvy) : [];
lexEsc5 vvx vvy False = lexEsc4 vvx vvy (isUpper vvx);
;
lexEsc6 (vvx : vvy) = lexEsc5 vvx vvy (isDigit vvx);
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
"lexLitChar2LexEsc8 (yxv : s) = lexLitChar2LexEsc7 (yxv == 'x') (yxv : s);
lexLitChar2LexEsc8 yxy = lexLitChar2LexEsc6 yxy;
"
"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 (vvx : vvy) = lexLitChar2LexEsc6 (vvx : vvy);
lexLitChar2LexEsc vvz = lexLitChar2LexEsc3 vvz;
"
"lexLitChar2LexEsc6 (vvx : vvy) = lexLitChar2LexEsc5 vvx vvy (isDigit vvx);
lexLitChar2LexEsc6 ywz = lexLitChar2LexEsc3 ywz;
"
"lexLitChar2LexEsc7 True (yxv : s) = lexLitChar2Prefix 'x' (span isHexDigit s) : [];
lexLitChar2LexEsc7 yxw yxx = lexLitChar2LexEsc6 yxx;
"
"lexLitChar2LexEsc13 True (yyz : c : s) = lexLitChar2LexEsc12 yyz c s (c >= '@' && c <= '_');
lexLitChar2LexEsc13 yzx yzy = lexLitChar2LexEsc11 yzy;
"
"lexLitChar2LexEsc2 (pr : vwu) = pr : [];
lexLitChar2LexEsc2 [] = [];
"
"lexLitChar2LexEsc10 s (c,mne) = concatMap (lexLitChar2LexEsc0 mne) (lexmatch mne s : []);
lexLitChar2LexEsc10 s vww = [];
"
"lexLitChar2LexEsc1 s vu70 = lexLitChar2LexEsc10 s vu70;
"
"lexLitChar2LexLitChar1 c s True = (c : [],s) : [];
lexLitChar2LexLitChar1 c s False = lexLitChar2LexLitChar0 c s otherwise;
"
"lexLitChar2LexEsc0 mne vu69 = lexLitChar2LexEsc00 mne vu69;
"
"lexLitChar2LexEsc16 (c : s) = lexLitChar2LexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexLitChar2LexEsc16 zuv = lexLitChar2LexEsc14 zuv;
"
"lexLitChar2LexEsc5 vvx vvy True = span isDigit (vvx : vvy) : [];
lexLitChar2LexEsc5 vvx vvy False = lexLitChar2LexEsc4 vvx vvy (isUpper vvx);
"
"lexLitChar2LexEsc00 mne ([],s') = (mne,s') : [];
lexLitChar2LexEsc00 mne vwv = [];
"
"lexLitChar2LexEsc3 vvz = [];
"
"lexLitChar2Prefix c (t,s) = (c : t,s);
"
"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;
"
"lexLitChar2LexEsc4 vvx vvy True = lexLitChar2LexEsc2 (concatMap (lexLitChar2LexEsc1 (vvx : vvy)) lexLitChar2Table);
lexLitChar2LexEsc4 vvx vvy False = lexLitChar2LexEsc3 (vvx : vvy);
"
"lexLitChar2LexEsc15 c s True = (c : [],s) : [];
lexLitChar2LexEsc15 c s False = lexLitChar2LexEsc14 (c : s);
"
"lexLitChar2LexLitChar0 c s True = map (lexLitChar2Prefix '\') (lexLitChar2LexEsc s);
"
"lexLitChar2LexEsc11 (yyu : s) = lexLitChar2LexEsc9 (yyu == 'o') (yyu : s);
lexLitChar2LexEsc11 yyx = lexLitChar2LexEsc8 yyx;
"
"lexLitChar2Table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
"
"lexLitChar2LexEsc9 True (yyu : s) = lexLitChar2Prefix 'o' (span isOctDigit s) : [];
lexLitChar2LexEsc9 yyv yyw = lexLitChar2LexEsc8 yyw;
"
The bindings of the following Let/Where expression
"concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 wz = [];
;
lexStrItem (wvz : wwx) = lexStrItem7 (wvz : wwx);
lexStrItem (wux : wvu) = lexStrItem4 (wux : wvu);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (wxy : t) = lexStrItem002 (wxy : t);
lexStrItem00 wy = lexStrItem000 wy;
;
lexStrItem000 wy = [];
;
lexStrItem001 True (wxy : t) = ([],t) : [];
lexStrItem001 wxz wyu = lexStrItem000 wyu;
;
lexStrItem002 (wxy : t) = lexStrItem001 (wxy == '\') (wxy : t);
lexStrItem002 wyv = lexStrItem000 wyv;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 wux c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wux c s False = lexStrItem1 (wux : c : s);
;
lexStrItem3 True (wux : c : s) = lexStrItem2 wux c s (isSpace c);
lexStrItem3 wvv wvw = lexStrItem1 wvw;
;
lexStrItem4 (wux : wvu) = lexStrItem3 (wux == '\') (wux : wvu);
lexStrItem4 wvx = lexStrItem1 wvx;
;
lexStrItem5 True (wvz : wwv : s) = ('\' : '&' : [],s) : [];
lexStrItem5 wwy wwz = lexStrItem4 wwz;
;
lexStrItem6 True (wvz : wwv : s) = lexStrItem5 (wwv == '&') (wvz : wwv : s);
lexStrItem6 wxu wxv = lexStrItem4 wxv;
;
lexStrItem7 (wvz : wwx) = lexStrItem6 (wvz == '\') (wvz : wwx);
lexStrItem7 wxw = lexStrItem4 wxw;
;
lexString (vzy : s) = lexString4 (vzy : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch ww = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wx = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (vzy : s) = ('"' : [],s) : [];
lexString3 vzz wuu = lexString2 wuu;
;
lexString4 (vzy : s) = lexString3 (vzy == '"') (vzy : s);
lexString4 wuv = lexString2 wuv;
} 
"
are unpacked to the following functions on top level
"lex13LexStrItem002 (wxy : t) = lex13LexStrItem001 (wxy == '\') (wxy : t);
lex13LexStrItem002 wyv = lex13LexStrItem000 wyv;
"
"lex13LexStrItem000 wy = [];
"
"lex13LexStrItem3 True (wux : c : s) = lex13LexStrItem2 wux c s (isSpace c);
lex13LexStrItem3 wvv wvw = lex13LexStrItem1 wvw;
"
"lex13LexStrItem5 True (wvz : wwv : s) = ('\' : '&' : [],s) : [];
lex13LexStrItem5 wwy wwz = lex13LexStrItem4 wwz;
"
"lex13LexString1 vu57 = lex13LexString10 vu57;
"
"lex13Lex10 (str,t) = ('"' : str,t) : [];
lex13Lex10 wz = [];
"
"lex13LexString (vzy : s) = lex13LexString4 (vzy : s);
lex13LexString s = lex13LexString2 s;
"
"lex13LexString10 (ch,t) = concatMap (lex13LexString0 ch) (lex13LexString t);
lex13LexString10 wx = [];
"
"lex13LexString00 ch (str,u) = (ch ++ str,u) : [];
lex13LexString00 ch ww = [];
"
"lex13LexStrItem1 s = lexLitChar s;
"
"lex13LexStrItem2 wux c s True = concatMap lex13LexStrItem0 (dropWhile isSpace s : []);
lex13LexStrItem2 wux c s False = lex13LexStrItem1 (wux : c : s);
"
"lex13LexStrItem001 True (wxy : t) = ([],t) : [];
lex13LexStrItem001 wxz wyu = lex13LexStrItem000 wyu;
"
"lex13LexStrItem00 (wxy : t) = lex13LexStrItem002 (wxy : t);
lex13LexStrItem00 wy = lex13LexStrItem000 wy;
"
"lex13Lex1 vu55 = lex13Lex10 vu55;
"
"lex13LexStrItem7 (wvz : wwx) = lex13LexStrItem6 (wvz == '\') (wvz : wwx);
lex13LexStrItem7 wxw = lex13LexStrItem4 wxw;
"
"lex13LexStrItem (wvz : wwx) = lex13LexStrItem7 (wvz : wwx);
lex13LexStrItem (wux : wvu) = lex13LexStrItem4 (wux : wvu);
lex13LexStrItem s = lex13LexStrItem1 s;
"
"lex13LexStrItem0 vu58 = lex13LexStrItem00 vu58;
"
"lex13LexStrItem6 True (wvz : wwv : s) = lex13LexStrItem5 (wwv == '&') (wvz : wwv : s);
lex13LexStrItem6 wxu wxv = lex13LexStrItem4 wxv;
"
"lex13LexString4 (vzy : s) = lex13LexString3 (vzy == '"') (vzy : s);
lex13LexString4 wuv = lex13LexString2 wuv;
"
"lex13LexString2 s = concatMap lex13LexString1 (lex13LexStrItem s);
"
"lex13LexString0 ch vu56 = lex13LexString00 ch vu56;
"
"lex13LexString3 True (vzy : s) = ('"' : [],s) : [];
lex13LexString3 vzz wuu = lex13LexString2 wuu;
"
"lex13LexStrItem4 (wux : wvu) = lex13LexStrItem3 (wux == '\') (wux : wvu);
lex13LexStrItem4 wvx = lex13LexStrItem1 wvx;
"
The bindings of the following Let/Where expression
"span1 p vwx vwy (p vwx) where {
span0 p vwx vwy True = ([],vwx : vwy);
;
span1 p vwx vwy True = (vwx : ys,zs);
span1 p vwx vwy False = span0 p vwx vwy otherwise;
;
vu43  = span p vwy;
;
ys  = ys0 vu43;
;
ys0 (ys,vxu) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwz,zs) = zs;
} 
"
are unpacked to the following functions on top level
"span2Ys0 zvx zvy (ys,vxu) = ys;
"
"span2Span1 zvx zvy p vwx vwy True = (vwx : span2Ys zvx zvy,span2Zs zvx zvy);
span2Span1 zvx zvy p vwx vwy False = span2Span0 zvx zvy p vwx vwy otherwise;
"
"span2Zs0 zvx zvy (vwz,zs) = zs;
"
"span2Ys zvx zvy = span2Ys0 zvx zvy (span2Vu43 zvx zvy);
"
"span2Span0 zvx zvy p vwx vwy True = ([],vwx : vwy);
"
"span2Zs zvx zvy = span2Zs0 zvx zvy (span2Vu43 zvx zvy);
"
"span2Vu43 zvx zvy = span zvx zvy;
"
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 yv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds xz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yu = [];
;
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 xu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xw = [];
;
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 xv = [];
;
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 wyx = lexExp3 wyx;
;
lexFracExp (wyz : wzw) = lexFracExp5 (wyz : wzw);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds xy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xx = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 wyz c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 wyz c cs False = lexFracExp2 (wyz : c : cs);
;
lexFracExp4 True (wyz : c : cs) = lexFracExp3 wyz c cs (isDigit c);
lexFracExp4 wzx wzy = lexFracExp2 wzy;
;
lexFracExp5 (wyz : wzw) = lexFracExp4 (wyz == '.') (wyz : wzw);
lexFracExp5 wzz = lexFracExp2 wzz;
} 
"
are unpacked to the following functions on top level
"lex12LexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lex12LexFracExp00 ds xy = [];
"
"lex12Lex4 c ds vu61 = lex12Lex40 c ds vu61;
"
"lex12IsSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
"
"lex12LexExp3 s = ([],s) : [];
"
"lex12Lex6 c s True = [];
"
"lex12Lex11 c s True = (c : [],s) : [];
lex12Lex11 c s False = lex12Lex9 c s (lex12IsSym c);
"
"lex12Lex2 c vu59 = lex12Lex20 c vu59;
"
"lex12Lex50 c (ds,s) = concatMap (lex12Lex4 c ds) (lex12LexFracExp s);
lex12Lex50 c yu = [];
"
"lex12IsSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
"
"lex12Lex3 c vu60 = lex12Lex30 c vu60;
"
"lex12IsIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
"
"lex12LexFracExp4 True (wyz : c : cs) = lex12LexFracExp3 wyz c cs (isDigit c);
lex12LexFracExp4 wzx wzy = lex12LexFracExp2 wzy;
"
"lex12LexExp0 e c vu65 = lex12LexExp00 e c vu65;
"
"lex12LexFracExp3 wyz c cs True = concatMap lex12LexFracExp1 (lexDigits (c : cs));
lex12LexFracExp3 wyz c cs False = lex12LexFracExp2 (wyz : c : cs);
"
"lex12Lex5 c vu62 = lex12Lex50 c vu62;
"
"lex12Lex9 c s True = concatMap (lex12Lex2 c) (span lex12IsSym s : []);
lex12Lex9 c s False = lex12Lex8 c s (isAlpha c);
"
"lex12Lex7 c s True = concatMap (lex12Lex5 c) (span isDigit s : []);
lex12Lex7 c s False = lex12Lex6 c s otherwise;
"
"lex12LexFracExp0 ds vu63 = lex12LexFracExp00 ds vu63;
"
"lex12Lex20 c (sym,t) = (c : sym,t) : [];
lex12Lex20 c yv = [];
"
"lex12Lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex12Lex40 c ds xz = [];
"
"lex12LexFracExp1 vu64 = lex12LexFracExp10 vu64;
"
"lex12LexExp00 e c (ds,u) = (e : c : ds,u) : [];
lex12LexExp00 e c xu = [];
"
"lex12LexExp (e : s) = lex12LexExp5 (e : s);
lex12LexExp s = lex12LexExp3 s;
"
"lex12LexFracExp10 (ds,t) = concatMap (lex12LexFracExp0 ds) (lex12LexExp t);
lex12LexFracExp10 xx = [];
"
"lex12LexFracExp2 s = lex12LexExp s;
"
"lex12LexExp5 (e : s) = lex12LexExp4 e s (e `elem` 'e' : 'E' : []);
lex12LexExp5 wyx = lex12LexExp3 wyx;
"
"lex12LexExp100 e c t True = concatMap (lex12LexExp0 e c) (lexDigits t);
lex12LexExp100 e c t False = [];
"
"lex12Lex8 c s True = concatMap (lex12Lex3 c) (span lex12IsIdChar s : []);
lex12Lex8 c s False = lex12Lex7 c s (isDigit c);
"
"lex12LexExp4 e s True = concatMap (lex12LexExp1 e) (s : []) ++ concatMap (lex12LexExp2 e) (lexDigits s);
lex12LexExp4 e s False = lex12LexExp3 (e : s);
"
"lex12LexExp10 e (c : t) = lex12LexExp100 e c t (c `elem` '+' : '-' : []);
lex12LexExp10 e xw = [];
"
"lex12LexExp20 e (ds,t) = (e : ds,t) : [];
lex12LexExp20 e xv = [];
"
"lex12LexExp2 e vu67 = lex12LexExp20 e vu67;
"
"lex12LexExp1 e vu66 = lex12LexExp10 e vu66;
"
"lex12Lex30 c (nam,t) = (c : nam,t) : [];
lex12Lex30 c yw = [];
"
"lex12LexFracExp5 (wyz : wzw) = lex12LexFracExp4 (wyz == '.') (wyz : wzw);
lex12LexFracExp5 wzz = lex12LexFracExp2 wzz;
"
"lex12LexFracExp (wyz : wzw) = lex12LexFracExp5 (wyz : wzw);
lex12LexFracExp s = lex12LexFracExp2 s;
"
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 (xzz : yuu,u) = mandatory002 x (xzz : yuu,u);
mandatory00 x vuw = mandatory000 x vuw;
;
mandatory000 x vuw = [];
;
mandatory001 True x (xzz : [],u) = (x,u) : [];
mandatory001 yuv yuw yux = mandatory000 yuw yux;
;
mandatory002 x (xzz : yuu,u) = mandatory001 (xzz == ')') x (xzz : yuu,u);
mandatory002 yuy yuz = mandatory000 yuy yuz;
;
mandatory1 vu49 = mandatory10 vu49;
;
mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 vux = [];
;
mandatory2 vu50 = mandatory20 vu50;
;
mandatory20 (xyy : xyz,s) = mandatory202 (xyy : xyz,s);
mandatory20 vuv = mandatory200 vuv;
;
mandatory200 vuv = [];
;
mandatory201 True (xyy : [],s) = concatMap mandatory1 (optional s);
mandatory201 xzu xzv = mandatory200 xzv;
;
mandatory202 (xyy : xyz,s) = mandatory201 (xyy == '(') (xyy : xyz,s);
mandatory202 xzw = mandatory200 xzw;
;
optional r = g r ++ mandatory r;
;
readParen0 True = mandatory;
readParen0 False = optional;
} 
"
are unpacked to the following functions on top level
"readParenMandatory200 zvz vuv = [];
"
"readParenMandatory001 zvz True x (xzz : [],u) = (x,u) : [];
readParenMandatory001 zvz yuv yuw yux = readParenMandatory000 zvz yuw yux;
"
"readParenMandatory zvz r = concatMap (readParenMandatory2 zvz) (lex r);
"
"readParenMandatory10 zvz (x,t) = concatMap (readParenMandatory0 zvz x) (lex t);
readParenMandatory10 zvz vux = [];
"
"readParenMandatory0 zvz x vu48 = readParenMandatory00 zvz x vu48;
"
"readParenReadParen0 zvz True = readParenMandatory zvz;
readParenReadParen0 zvz False = readParenOptional zvz;
"
"readParenMandatory000 zvz x vuw = [];
"
"readParenMandatory002 zvz x (xzz : yuu,u) = readParenMandatory001 zvz (xzz == ')') x (xzz : yuu,u);
readParenMandatory002 zvz yuy yuz = readParenMandatory000 zvz yuy yuz;
"
"readParenMandatory201 zvz True (xyy : [],s) = concatMap (readParenMandatory1 zvz) (readParenOptional zvz s);
readParenMandatory201 zvz xzu xzv = readParenMandatory200 zvz xzv;
"
"readParenMandatory00 zvz x (xzz : yuu,u) = readParenMandatory002 zvz x (xzz : yuu,u);
readParenMandatory00 zvz x vuw = readParenMandatory000 zvz x vuw;
"
"readParenOptional zvz r = zvz r ++ readParenMandatory zvz r;
"
"readParenMandatory1 zvz vu49 = readParenMandatory10 zvz vu49;
"
"readParenMandatory202 zvz (xyy : xyz,s) = readParenMandatory201 zvz (xyy == '(') (xyy : xyz,s);
readParenMandatory202 zvz xzw = readParenMandatory200 zvz xzw;
"
"readParenMandatory20 zvz (xyy : xyz,s) = readParenMandatory202 zvz (xyy : xyz,s);
readParenMandatory20 zvz vuv = readParenMandatory200 zvz vuv;
"
"readParenMandatory2 zvz vu50 = readParenMandatory20 zvz vu50;
"
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
"getLineGetRest2 c = getLineGetRest20 c (c == '\10');
"
"getLineGetLine0 c ls = return (c : ls);
"
"getLineGetRest0 ex = getLineGetRest00 ex (isEOFError ex);
"
"getLineGetRest1 c cs = return (c : cs);
"
"getLineGetLine10 c True = return [];
getLineGetLine10 c False = getLineGetRest >>= getLineGetLine0 c;
"
"getLineGetRest20 c True = return [];
getLineGetRest20 c False = getLineGetRest >>= getLineGetRest1 c;
"
"getLineGetRest00 ex True = return '\10';
getLineGetRest00 ex False = ioError ex;
"
"getLineGetLine1 c = getLineGetLine10 c (c == '\10');
"
"getLineGetRest  = catch getChar getLineGetRest0 >>= getLineGetRest2;
"

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

(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;
}