/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 73 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 36 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
"\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);
"
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
"\vu46->case vu46 of {
([],[])  -> x : [];
_  -> []}
"
is transformed to
"read0 x vu46 = case vu46 of {
([],[])  -> x : [];
_  -> []}
;
"
The following Lambda expression
"\vu47->case vu47 of {
(x,t)  -> concatMap (read0 x) (lex t);
_  -> []}
"
is transformed to
"read1 vu47 = case vu47 of {
(x,t)  -> concatMap (read0 x) (lex t);
_  -> []}
;
"
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
"\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 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 concatMap read1 (reads s) of {
x : []  -> x;
[]  -> error [];
_  -> error []}
"
is transformed to
"read2 (x : []) = x;
read2 [] = error [];
read2 _ = error [];
"
The following Case expression
"case vu47 of {
(x,t)  -> concatMap (read0 x) (lex t);
_  -> []}
"
is transformed to
"read10 (x,t) = concatMap (read0 x) (lex t);
read10 _ = [];
"
The following Case expression
"case vu46 of {
([],[])  -> x : [];
_  -> []}
"
is transformed to
"read00 x ([],[]) = x : [];
read00 x _ = [];
"
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 (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 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@(wu : wv)"
is replaced by the following term
"wu : wv"
The bind variable of the following binding Pattern
"xs@(vux : vuy)"
is replaced by the following term
"vux : vuy"
The bind variable of the following binding Pattern
"s@(vvw : vvx)"
is replaced by the following term
"vvw : vvx"
The bind variable of the following binding Pattern
"xs@(vww : vwx)"
is replaced by the following term
"vww : vwx"

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

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

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

(9) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"readsPrec00 (')' : [],t) = ((),t) : [];
readsPrec00 wx = [];
"
is transformed to
"readsPrec00 (vxw : vxx,t) = readsPrec002 (vxw : vxx,t);
readsPrec00 wx = readsPrec000 wx;
"
"readsPrec000 wx = [];
"
"readsPrec001 True (vxw : [],t) = ((),t) : [];
readsPrec001 vxy vxz = readsPrec000 vxz;
"
"readsPrec002 (vxw : vxx,t) = readsPrec001 (vxw == ')') (vxw : vxx,t);
readsPrec002 vyu = readsPrec000 vyu;
"
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 xu = [];
"
is transformed to
"lexStrItem00 (wxu : t) = lexStrItem002 (wxu : t);
lexStrItem00 xu = lexStrItem000 xu;
"
"lexStrItem000 xu = [];
"
"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 xv = [];
;
lexStrItem ('\' : '&' : s) = ('\' : '&' : [],s) : [];
lexStrItem ('\' : c : s)|isSpace cconcatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem s = lexLitChar s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 xu = [];
;
lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch wy = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wz = [];
} 
;
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` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c yx = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yy = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds yv = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yw = [];
;
lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c xw = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xy = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e xx = [];
;
lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds yu = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xz = [];
} 
;
"
is transformed to
"lex [] = lex19 [];
lex (c : s) = lex18 (c : s);
lex (xux : s) = lex16 (xux : s);
lex (wzy : s) = lex14 (wzy : s);
lex (c : s) = lex12 (c : s);
"
"lex12 (c : s) = lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
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 yx = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yy = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds yv = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yw = [];
;
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 xw = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xy = [];
;
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 xx = [];
;
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 yu = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xz = [];
;
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 xv = [];
;
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 xu = lexStrItem000 xu;
;
lexStrItem000 xu = [];
;
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 wy = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wz = [];
;
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
"readsPrec10 ('(' : [],s) = concatMap readsPrec0 (lex s);
readsPrec10 yz = [];
"
is transformed to
"readsPrec10 (xwv : xww,s) = readsPrec102 (xwv : xww,s);
readsPrec10 yz = readsPrec100 yz;
"
"readsPrec100 yz = [];
"
"readsPrec101 True (xwv : [],s) = concatMap readsPrec0 (lex s);
readsPrec101 xwx xwy = readsPrec100 xwy;
"
"readsPrec102 (xwv : xww,s) = readsPrec101 (xwv == '(') (xwv : xww,s);
readsPrec102 xwz = readsPrec100 xwz;
"
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 xxw xxx = lexmatch0 xxw xxx;
"
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 zz = [];
"
is transformed to
"mandatory20 (xyu : xyv,s) = mandatory202 (xyu : xyv,s);
mandatory20 zz = mandatory200 zz;
"
"mandatory200 zz = [];
"
"mandatory201 True (xyu : [],s) = concatMap mandatory1 (optional s);
mandatory201 xyw xyx = mandatory200 xyx;
"
"mandatory202 (xyu : xyv,s) = mandatory201 (xyu == '(') (xyu : xyv,s);
mandatory202 xyy = mandatory200 xyy;
"
The following Function with conditions
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x vuu = [];
"
is transformed to
"mandatory00 x (xzv : xzw,u) = mandatory002 x (xzv : xzw,u);
mandatory00 x vuu = mandatory000 x vuu;
"
"mandatory000 x vuu = [];
"
"mandatory001 True x (xzv : [],u) = (x,u) : [];
mandatory001 xzx xzy xzz = mandatory000 xzy xzz;
"
"mandatory002 x (xzv : xzw,u) = mandatory001 (xzv == ')') x (xzv : xzw,u);
mandatory002 yuu yuv = mandatory000 yuu yuv;
"
The following Function with conditions
"dropWhile p [] = [];
dropWhile p (vux : vuy)|p vuxdropWhile p vuy|otherwisevux : vuy;
"
is transformed to
"dropWhile p [] = dropWhile3 p [];
dropWhile p (vux : vuy) = dropWhile2 p (vux : vuy);
"
"dropWhile1 p vux vuy True = dropWhile p vuy;
dropWhile1 p vux vuy False = dropWhile0 p vux vuy otherwise;
"
"dropWhile0 p vux vuy True = vux : vuy;
"
"dropWhile2 p (vux : vuy) = dropWhile1 p vux vuy (p vux);
"
"dropWhile3 p [] = [];
dropWhile3 yuy yuz = dropWhile2 yuy yuz;
"
The following Function with conditions
"lex00 (ch,''' : t) = lex000 ch t (ch /= ''' : []);
lex00 vvu = [];
"
is transformed to
"lex00 (ch,yvw : t) = lex003 (ch,yvw : t);
lex00 vvu = lex001 vvu;
"
"lex001 vvu = [];
"
"lex002 True (ch,yvw : t) = lex000 ch t (ch /= ''' : []);
lex002 yvx yvy = lex001 yvy;
"
"lex003 (ch,yvw : t) = lex002 (yvw == ''') (ch,yvw : t);
lex003 yvz = lex001 yvz;
"
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 (vvw : vvx)|isDigit vvwspan isDigit (vvw : vvx) : []|isUpper vvwlexEsc2 (concatMap (lexEsc1 (vvw : vvx)) table);
lexEsc vvy = [];
"
is transformed to
"lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (yyv : yyy) = lexEsc14 (yyv : yyy);
lexEsc (yxw : s) = lexEsc11 (yxw : s);
lexEsc (ywx : s) = lexEsc8 (ywx : s);
lexEsc (vvw : vvx) = lexEsc6 (vvw : vvx);
lexEsc vvy = lexEsc3 vvy;
"
"lexEsc3 vvy = [];
"
"lexEsc4 vvw vvx True = lexEsc2 (concatMap (lexEsc1 (vvw : vvx)) table);
lexEsc4 vvw vvx False = lexEsc3 (vvw : vvx);
"
"lexEsc5 vvw vvx True = span isDigit (vvw : vvx) : [];
lexEsc5 vvw vvx False = lexEsc4 vvw vvx (isUpper vvw);
"
"lexEsc6 (vvw : vvx) = lexEsc5 vvw vvx (isDigit vvw);
lexEsc6 ywv = lexEsc3 ywv;
"
"lexEsc7 True (ywx : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 ywy ywz = lexEsc6 ywz;
"
"lexEsc8 (ywx : s) = lexEsc7 (ywx == 'x') (ywx : s);
lexEsc8 yxu = lexEsc6 yxu;
"
"lexEsc9 True (yxw : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yxx yxy = lexEsc8 yxy;
"
"lexEsc11 (yxw : s) = lexEsc9 (yxw == 'o') (yxw : s);
lexEsc11 yxz = lexEsc8 yxz;
"
"lexEsc12 yyv c s True = ('^' : c : [],s) : [];
lexEsc12 yyv c s False = lexEsc11 (yyv : c : s);
"
"lexEsc13 True (yyv : c : s) = lexEsc12 yyv c s (c >= '@' && c <= '_');
lexEsc13 yyz yzu = lexEsc11 yzu;
"
"lexEsc14 (yyv : yyy) = lexEsc13 (yyv == '^') (yyv : yyy);
lexEsc14 yzv = lexEsc11 yzv;
"
"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 yzx = lexEsc14 yzx;
"
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 (vvw : vvx)|isDigit vvwspan isDigit (vvw : vvx) : []|isUpper vvwlexEsc2 (concatMap (lexEsc1 (vvw : vvx)) table);
lexEsc vvy = [];
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vwv = [];
;
lexEsc2 (pr : vvz) = 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 (yyv : yyy) = lexEsc14 (yyv : yyy);
lexEsc (yxw : s) = lexEsc11 (yxw : s);
lexEsc (ywx : s) = lexEsc8 (ywx : s);
lexEsc (vvw : vvx) = lexEsc6 (vvw : vvx);
lexEsc vvy = lexEsc3 vvy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vwv = [];
;
lexEsc11 (yxw : s) = lexEsc9 (yxw == 'o') (yxw : s);
lexEsc11 yxz = lexEsc8 yxz;
;
lexEsc12 yyv c s True = ('^' : c : [],s) : [];
lexEsc12 yyv c s False = lexEsc11 (yyv : c : s);
;
lexEsc13 True (yyv : c : s) = lexEsc12 yyv c s (c >= '@' && c <= '_');
lexEsc13 yyz yzu = lexEsc11 yzu;
;
lexEsc14 (yyv : yyy) = lexEsc13 (yyv == '^') (yyv : yyy);
lexEsc14 yzv = lexEsc11 yzv;
;
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 yzx = lexEsc14 yzx;
;
lexEsc2 (pr : vvz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vvy = [];
;
lexEsc4 vvw vvx True = lexEsc2 (concatMap (lexEsc1 (vvw : vvx)) table);
lexEsc4 vvw vvx False = lexEsc3 (vvw : vvx);
;
lexEsc5 vvw vvx True = span isDigit (vvw : vvx) : [];
lexEsc5 vvw vvx False = lexEsc4 vvw vvx (isUpper vvw);
;
lexEsc6 (vvw : vvx) = lexEsc5 vvw vvx (isDigit vvw);
lexEsc6 ywv = lexEsc3 ywv;
;
lexEsc7 True (ywx : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 ywy ywz = lexEsc6 ywz;
;
lexEsc8 (ywx : s) = lexEsc7 (ywx == 'x') (ywx : s);
lexEsc8 yxu = lexEsc6 yxu;
;
lexEsc9 True (yxw : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yxx yxy = lexEsc8 yxy;
;
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 zuu = lexLitChar2 zuu;
"
The following Function with conditions
"span p [] = ([],[]);
span p (vww : vwx)|p vww(vww : ys,zs)|otherwise([],vww : vwx) where {
vu43  = span p vwx;
;
ys  = ys0 vu43;
;
ys0 (ys,vwz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwy,zs) = zs;
} 
;
"
is transformed to
"span p [] = span3 p [];
span p (vww : vwx) = span2 p (vww : vwx);
"
"span2 p (vww : vwx) = span1 p vww vwx (p vww) where {
span0 p vww vwx True = ([],vww : vwx);
;
span1 p vww vwx True = (vww : ys,zs);
span1 p vww vwx False = span0 p vww vwx otherwise;
;
vu43  = span p vwx;
;
ys  = ys0 vu43;
;
ys0 (ys,vwz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwy,zs) = zs;
} 
;
"
"span3 p [] = ([],[]);
span3 zux zuy = span2 zux 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 (yyv : yyy) = lexEsc14 (yyv : yyy);
lexEsc (yxw : s) = lexEsc11 (yxw : s);
lexEsc (ywx : s) = lexEsc8 (ywx : s);
lexEsc (vvw : vvx) = lexEsc6 (vvw : vvx);
lexEsc vvy = lexEsc3 vvy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne vwu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s vwv = [];
;
lexEsc11 (yxw : s) = lexEsc9 (yxw == 'o') (yxw : s);
lexEsc11 yxz = lexEsc8 yxz;
;
lexEsc12 yyv c s True = ('^' : c : [],s) : [];
lexEsc12 yyv c s False = lexEsc11 (yyv : c : s);
;
lexEsc13 True (yyv : c : s) = lexEsc12 yyv c s (c >= '@' && c <= '_');
lexEsc13 yyz yzu = lexEsc11 yzu;
;
lexEsc14 (yyv : yyy) = lexEsc13 (yyv == '^') (yyv : yyy);
lexEsc14 yzv = lexEsc11 yzv;
;
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 yzx = lexEsc14 yzx;
;
lexEsc2 (pr : vvz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vvy = [];
;
lexEsc4 vvw vvx True = lexEsc2 (concatMap (lexEsc1 (vvw : vvx)) table);
lexEsc4 vvw vvx False = lexEsc3 (vvw : vvx);
;
lexEsc5 vvw vvx True = span isDigit (vvw : vvx) : [];
lexEsc5 vvw vvx False = lexEsc4 vvw vvx (isUpper vvw);
;
lexEsc6 (vvw : vvx) = lexEsc5 vvw vvx (isDigit vvw);
lexEsc6 ywv = lexEsc3 ywv;
;
lexEsc7 True (ywx : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 ywy ywz = lexEsc6 ywz;
;
lexEsc8 (ywx : s) = lexEsc7 (ywx == 'x') (ywx : s);
lexEsc8 yxu = lexEsc6 yxu;
;
lexEsc9 True (yxw : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 yxx yxy = lexEsc8 yxy;
;
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
"lexLitChar2LexEsc4 vvw vvx True = lexLitChar2LexEsc2 (concatMap (lexLitChar2LexEsc1 (vvw : vvx)) lexLitChar2Table);
lexLitChar2LexEsc4 vvw vvx False = lexLitChar2LexEsc3 (vvw : vvx);
"
"lexLitChar2LexEsc1 s vu70 = lexLitChar2LexEsc10 s vu70;
"
"lexLitChar2LexLitChar1 c s True = (c : [],s) : [];
lexLitChar2LexLitChar1 c s False = lexLitChar2LexLitChar0 c s otherwise;
"
"lexLitChar2LexEsc5 vvw vvx True = span isDigit (vvw : vvx) : [];
lexLitChar2LexEsc5 vvw vvx False = lexLitChar2LexEsc4 vvw vvx (isUpper vvw);
"
"lexLitChar2LexEsc0 mne vu69 = lexLitChar2LexEsc00 mne vu69;
"
"lexLitChar2LexEsc14 (yyv : yyy) = lexLitChar2LexEsc13 (yyv == '^') (yyv : yyy);
lexLitChar2LexEsc14 yzv = lexLitChar2LexEsc11 yzv;
"
"lexLitChar2LexEsc11 (yxw : s) = lexLitChar2LexEsc9 (yxw == 'o') (yxw : s);
lexLitChar2LexEsc11 yxz = lexLitChar2LexEsc8 yxz;
"
"lexLitChar2LexEsc16 (c : s) = lexLitChar2LexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexLitChar2LexEsc16 yzx = lexLitChar2LexEsc14 yzx;
"
"lexLitChar2LexEsc6 (vvw : vvx) = lexLitChar2LexEsc5 vvw vvx (isDigit vvw);
lexLitChar2LexEsc6 ywv = lexLitChar2LexEsc3 ywv;
"
"lexLitChar2LexEsc00 mne ([],s') = (mne,s') : [];
lexLitChar2LexEsc00 mne vwu = [];
"
"lexLitChar2LexEsc7 True (ywx : s) = lexLitChar2Prefix 'x' (span isHexDigit s) : [];
lexLitChar2LexEsc7 ywy ywz = lexLitChar2LexEsc6 ywz;
"
"lexLitChar2LexEsc2 (pr : vvz) = pr : [];
lexLitChar2LexEsc2 [] = [];
"
"lexLitChar2LexEsc3 vvy = [];
"
"lexLitChar2Prefix c (t,s) = (c : t,s);
"
"lexLitChar2LexEsc10 s (c,mne) = concatMap (lexLitChar2LexEsc0 mne) (lexmatch mne s : []);
lexLitChar2LexEsc10 s vwv = [];
"
"lexLitChar2LexLitChar0 c s True = map (lexLitChar2Prefix '\') (lexLitChar2LexEsc s);
"
"lexLitChar2LexEsc (c : s) = lexLitChar2LexEsc16 (c : s);
lexLitChar2LexEsc (yyv : yyy) = lexLitChar2LexEsc14 (yyv : yyy);
lexLitChar2LexEsc (yxw : s) = lexLitChar2LexEsc11 (yxw : s);
lexLitChar2LexEsc (ywx : s) = lexLitChar2LexEsc8 (ywx : s);
lexLitChar2LexEsc (vvw : vvx) = lexLitChar2LexEsc6 (vvw : vvx);
lexLitChar2LexEsc vvy = lexLitChar2LexEsc3 vvy;
"
"lexLitChar2LexEsc13 True (yyv : c : s) = lexLitChar2LexEsc12 yyv c s (c >= '@' && c <= '_');
lexLitChar2LexEsc13 yyz yzu = lexLitChar2LexEsc11 yzu;
"
"lexLitChar2LexEsc12 yyv c s True = ('^' : c : [],s) : [];
lexLitChar2LexEsc12 yyv c s False = lexLitChar2LexEsc11 (yyv : c : s);
"
"lexLitChar2LexEsc15 c s True = (c : [],s) : [];
lexLitChar2LexEsc15 c s False = lexLitChar2LexEsc14 (c : s);
"
"lexLitChar2Table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
"
"lexLitChar2LexEsc8 (ywx : s) = lexLitChar2LexEsc7 (ywx == 'x') (ywx : s);
lexLitChar2LexEsc8 yxu = lexLitChar2LexEsc6 yxu;
"
"lexLitChar2LexEsc9 True (yxw : s) = lexLitChar2Prefix 'o' (span isOctDigit s) : [];
lexLitChar2LexEsc9 yxx yxy = lexLitChar2LexEsc8 yxy;
"
The bindings of the following Let/Where expression
"concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 xv = [];
;
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 xu = lexStrItem000 xu;
;
lexStrItem000 xu = [];
;
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 wy = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 wz = [];
;
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
"lex13LexStrItem5 True (wvv : wvx : s) = ('\' : '&' : [],s) : [];
lex13LexStrItem5 wwu wwv = lex13LexStrItem4 wwv;
"
"lex13LexString00 ch (str,u) = (ch ++ str,u) : [];
lex13LexString00 ch wy = [];
"
"lex13LexString4 (vzu : s) = lex13LexString3 (vzu == '"') (vzu : s);
lex13LexString4 vzx = lex13LexString2 vzx;
"
"lex13LexString3 True (vzu : s) = ('"' : [],s) : [];
lex13LexString3 vzv vzw = lex13LexString2 vzw;
"
"lex13LexString (vzu : s) = lex13LexString4 (vzu : s);
lex13LexString s = lex13LexString2 s;
"
"lex13LexStrItem002 (wxu : t) = lex13LexStrItem001 (wxu == '\') (wxu : t);
lex13LexStrItem002 wxx = lex13LexStrItem000 wxx;
"
"lex13LexStrItem001 True (wxu : t) = ([],t) : [];
lex13LexStrItem001 wxv wxw = lex13LexStrItem000 wxw;
"
"lex13LexString0 ch vu56 = lex13LexString00 ch vu56;
"
"lex13Lex10 (str,t) = ('"' : str,t) : [];
lex13Lex10 xv = [];
"
"lex13LexStrItem4 (vzz : wuw) = lex13LexStrItem3 (vzz == '\') (vzz : wuw);
lex13LexStrItem4 wuz = lex13LexStrItem1 wuz;
"
"lex13LexStrItem2 vzz c s True = concatMap lex13LexStrItem0 (dropWhile isSpace s : []);
lex13LexStrItem2 vzz c s False = lex13LexStrItem1 (vzz : c : s);
"
"lex13LexStrItem6 True (wvv : wvx : s) = lex13LexStrItem5 (wvx == '&') (wvv : wvx : s);
lex13LexStrItem6 www wwx = lex13LexStrItem4 wwx;
"
"lex13LexStrItem (wvv : wvz) = lex13LexStrItem7 (wvv : wvz);
lex13LexStrItem (vzz : wuw) = lex13LexStrItem4 (vzz : wuw);
lex13LexStrItem s = lex13LexStrItem1 s;
"
"lex13LexStrItem3 True (vzz : c : s) = lex13LexStrItem2 vzz c s (isSpace c);
lex13LexStrItem3 wux wuy = lex13LexStrItem1 wuy;
"
"lex13LexStrItem0 vu58 = lex13LexStrItem00 vu58;
"
"lex13LexStrItem7 (wvv : wvz) = lex13LexStrItem6 (wvv == '\') (wvv : wvz);
lex13LexStrItem7 wwy = lex13LexStrItem4 wwy;
"
"lex13Lex1 vu55 = lex13Lex10 vu55;
"
"lex13LexString10 (ch,t) = concatMap (lex13LexString0 ch) (lex13LexString t);
lex13LexString10 wz = [];
"
"lex13LexStrItem00 (wxu : t) = lex13LexStrItem002 (wxu : t);
lex13LexStrItem00 xu = lex13LexStrItem000 xu;
"
"lex13LexStrItem1 s = lexLitChar s;
"
"lex13LexStrItem000 xu = [];
"
"lex13LexString1 vu57 = lex13LexString10 vu57;
"
"lex13LexString2 s = concatMap lex13LexString1 (lex13LexStrItem s);
"
The bindings of the following Let/Where expression
"span1 p vww vwx (p vww) where {
span0 p vww vwx True = ([],vww : vwx);
;
span1 p vww vwx True = (vww : ys,zs);
span1 p vww vwx False = span0 p vww vwx otherwise;
;
vu43  = span p vwx;
;
ys  = ys0 vu43;
;
ys0 (ys,vwz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vwy,zs) = zs;
} 
"
are unpacked to the following functions on top level
"span2Zs0 zuz zvu (vwy,zs) = zs;
"
"span2Vu43 zuz zvu = span zuz zvu;
"
"span2Ys0 zuz zvu (ys,vwz) = ys;
"
"span2Span0 zuz zvu p vww vwx True = ([],vww : vwx);
"
"span2Ys zuz zvu = span2Ys0 zuz zvu (span2Vu43 zuz zvu);
"
"span2Zs zuz zvu = span2Zs0 zuz zvu (span2Vu43 zuz zvu);
"
"span2Span1 zuz zvu p vww vwx True = (vww : span2Ys zuz zvu,span2Zs zuz zvu);
span2Span1 zuz zvu p vww vwx False = span2Span0 zuz zvu p vww vwx 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 yx = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yy = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds yv = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yw = [];
;
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 xw = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xy = [];
;
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 xx = [];
;
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 yu = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xz = [];
;
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
"lex12LexExp20 e (ds,t) = (e : ds,t) : [];
lex12LexExp20 e xx = [];
"
"lex12LexFracExp0 ds vu63 = lex12LexFracExp00 ds vu63;
"
"lex12LexFracExp10 (ds,t) = concatMap (lex12LexFracExp0 ds) (lex12LexExp t);
lex12LexFracExp10 xz = [];
"
"lex12Lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex12Lex40 c ds yv = [];
"
"lex12LexExp00 e c (ds,u) = (e : c : ds,u) : [];
lex12LexExp00 e c xw = [];
"
"lex12LexExp1 e vu66 = lex12LexExp10 e vu66;
"
"lex12Lex5 c vu62 = lex12Lex50 c vu62;
"
"lex12LexFracExp1 vu64 = lex12LexFracExp10 vu64;
"
"lex12Lex30 c (nam,t) = (c : nam,t) : [];
lex12Lex30 c yy = [];
"
"lex12Lex20 c (sym,t) = (c : sym,t) : [];
lex12Lex20 c yx = [];
"
"lex12LexFracExp (wyv : wyy) = lex12LexFracExp5 (wyv : wyy);
lex12LexFracExp s = lex12LexFracExp2 s;
"
"lex12LexExp0 e c vu65 = lex12LexExp00 e c vu65;
"
"lex12LexExp (e : s) = lex12LexExp5 (e : s);
lex12LexExp s = lex12LexExp3 s;
"
"lex12LexFracExp5 (wyv : wyy) = lex12LexFracExp4 (wyv == '.') (wyv : wyy);
lex12LexFracExp5 wzv = lex12LexFracExp2 wzv;
"
"lex12LexExp10 e (c : t) = lex12LexExp100 e c t (c `elem` '+' : '-' : []);
lex12LexExp10 e xy = [];
"
"lex12Lex50 c (ds,s) = concatMap (lex12Lex4 c ds) (lex12LexFracExp s);
lex12Lex50 c yw = [];
"
"lex12Lex4 c ds vu61 = lex12Lex40 c ds vu61;
"
"lex12IsSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
"
"lex12Lex3 c vu60 = lex12Lex30 c vu60;
"
"lex12LexFracExp4 True (wyv : c : cs) = lex12LexFracExp3 wyv c cs (isDigit c);
lex12LexFracExp4 wyz wzu = lex12LexFracExp2 wzu;
"
"lex12Lex8 c s True = concatMap (lex12Lex3 c) (span lex12IsIdChar s : []);
lex12Lex8 c s False = lex12Lex7 c s (isDigit c);
"
"lex12Lex11 c s True = (c : [],s) : [];
lex12Lex11 c s False = lex12Lex9 c s (lex12IsSym c);
"
"lex12LexExp4 e s True = concatMap (lex12LexExp1 e) (s : []) ++ concatMap (lex12LexExp2 e) (lexDigits s);
lex12LexExp4 e s False = lex12LexExp3 (e : s);
"
"lex12IsIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
"
"lex12LexExp3 s = ([],s) : [];
"
"lex12IsSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
"
"lex12LexFracExp3 wyv c cs True = concatMap lex12LexFracExp1 (lexDigits (c : cs));
lex12LexFracExp3 wyv c cs False = lex12LexFracExp2 (wyv : c : cs);
"
"lex12Lex2 c vu59 = lex12Lex20 c vu59;
"
"lex12LexFracExp2 s = lex12LexExp s;
"
"lex12LexExp100 e c t True = concatMap (lex12LexExp0 e c) (lexDigits t);
lex12LexExp100 e c t False = [];
"
"lex12LexExp5 (e : s) = lex12LexExp4 e s (e `elem` 'e' : 'E' : []);
lex12LexExp5 wxz = lex12LexExp3 wxz;
"
"lex12Lex6 c s True = [];
"
"lex12LexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lex12LexFracExp00 ds yu = [];
"
"lex12LexExp2 e vu67 = lex12LexExp20 e vu67;
"
"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;
"
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 (xzv : xzw,u) = mandatory002 x (xzv : xzw,u);
mandatory00 x vuu = mandatory000 x vuu;
;
mandatory000 x vuu = [];
;
mandatory001 True x (xzv : [],u) = (x,u) : [];
mandatory001 xzx xzy xzz = mandatory000 xzy xzz;
;
mandatory002 x (xzv : xzw,u) = mandatory001 (xzv == ')') x (xzv : xzw,u);
mandatory002 yuu yuv = mandatory000 yuu yuv;
;
mandatory1 vu49 = mandatory10 vu49;
;
mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 vuv = [];
;
mandatory2 vu50 = mandatory20 vu50;
;
mandatory20 (xyu : xyv,s) = mandatory202 (xyu : xyv,s);
mandatory20 zz = mandatory200 zz;
;
mandatory200 zz = [];
;
mandatory201 True (xyu : [],s) = concatMap mandatory1 (optional s);
mandatory201 xyw xyx = mandatory200 xyx;
;
mandatory202 (xyu : xyv,s) = mandatory201 (xyu == '(') (xyu : xyv,s);
mandatory202 xyy = mandatory200 xyy;
;
optional r = g r ++ mandatory r;
;
readParen0 True = mandatory;
readParen0 False = optional;
} 
"
are unpacked to the following functions on top level
"readParenMandatory000 zvv x vuu = [];
"
"readParenMandatory0 zvv x vu48 = readParenMandatory00 zvv x vu48;
"
"readParenMandatory201 zvv True (xyu : [],s) = concatMap (readParenMandatory1 zvv) (readParenOptional zvv s);
readParenMandatory201 zvv xyw xyx = readParenMandatory200 zvv xyx;
"
"readParenReadParen0 zvv True = readParenMandatory zvv;
readParenReadParen0 zvv False = readParenOptional zvv;
"
"readParenMandatory2 zvv vu50 = readParenMandatory20 zvv vu50;
"
"readParenOptional zvv r = zvv r ++ readParenMandatory zvv r;
"
"readParenMandatory20 zvv (xyu : xyv,s) = readParenMandatory202 zvv (xyu : xyv,s);
readParenMandatory20 zvv zz = readParenMandatory200 zvv zz;
"
"readParenMandatory00 zvv x (xzv : xzw,u) = readParenMandatory002 zvv x (xzv : xzw,u);
readParenMandatory00 zvv x vuu = readParenMandatory000 zvv x vuu;
"
"readParenMandatory zvv r = concatMap (readParenMandatory2 zvv) (lex r);
"
"readParenMandatory001 zvv True x (xzv : [],u) = (x,u) : [];
readParenMandatory001 zvv xzx xzy xzz = readParenMandatory000 zvv xzy xzz;
"
"readParenMandatory200 zvv zz = [];
"
"readParenMandatory10 zvv (x,t) = concatMap (readParenMandatory0 zvv x) (lex t);
readParenMandatory10 zvv vuv = [];
"
"readParenMandatory1 zvv vu49 = readParenMandatory10 zvv vu49;
"
"readParenMandatory002 zvv x (xzv : xzw,u) = readParenMandatory001 zvv (xzv == ')') x (xzv : xzw,u);
readParenMandatory002 zvv yuu yuv = readParenMandatory000 zvv yuu yuv;
"
"readParenMandatory202 zvv (xyu : xyv,s) = readParenMandatory201 zvv (xyu == '(') (xyu : xyv,s);
readParenMandatory202 zvv xyy = readParenMandatory200 zvv xyy;
"

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

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

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(13) NumRed (SOUND)
Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero.
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(14)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
}