/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty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, 14 ms]
(6) HASKELL
(7) BR [EQUIVALENT, 0 ms]
(8) HASKELL
(9) COR [EQUIVALENT, 13 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 37 ms]
(12) HASKELL
(13) NumRed [SOUND, 62 ms]
(14) HASKELL


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

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

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

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\nd->n * radix + d"
is transformed to
"readInt0 radix n d = n * radix + d;
"
The following Lambda expression
"\vu77->case vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
"
is transformed to
"readInt1 radix digToInt vu77 = case vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
;
"
The following Lambda expression
"\vu54->case vu54 of {
(ch,''' : t)  -> if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
_  -> []}
"
is transformed to
"lex0 vu54 = case vu54 of {
(ch,''' : t)  -> if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else [];
_  -> []}
;
"
The following Lambda expression
"\vu56->case vu56 of {
(str,u)  -> (ch ++ str,u) : [];
_  -> []}
"
is transformed to
"lexString0 ch vu56 = case vu56 of {
(str,u)  -> (ch ++ str,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu57->case vu57 of {
(ch,t)  -> concatMap (lexString0 ch) (lexString t);
_  -> []}
"
is transformed to
"lexString1 vu57 = case vu57 of {
(ch,t)  -> concatMap (lexString0 ch) (lexString t);
_  -> []}
;
"
The following Lambda expression
"\vu58->case vu58 of {
'\' : t  -> ([],t) : [];
_  -> []}
"
is transformed to
"lexStrItem0 vu58 = case vu58 of {
'\' : t  -> ([],t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu55->case vu55 of {
(str,t)  -> ('"' : str,t) : [];
_  -> []}
"
is transformed to
"lex1 vu55 = case vu55 of {
(str,t)  -> ('"' : str,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu63->case vu63 of {
(e,u)  -> ('.' : ds ++ e,u) : [];
_  -> []}
"
is transformed to
"lexFracExp0 ds vu63 = case vu63 of {
(e,u)  -> ('.' : ds ++ e,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu64->case vu64 of {
(ds,t)  -> concatMap (lexFracExp0 ds) (lexExp t);
_  -> []}
"
is transformed to
"lexFracExp1 vu64 = case vu64 of {
(ds,t)  -> concatMap (lexFracExp0 ds) (lexExp t);
_  -> []}
;
"
The following Lambda expression
"\vu65->case vu65 of {
(ds,u)  -> (e : c : ds,u) : [];
_  -> []}
"
is transformed to
"lexExp0 e c vu65 = case vu65 of {
(ds,u)  -> (e : c : ds,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu66->case vu66 of {
c : t  -> if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
_  -> []}
"
is transformed to
"lexExp1 e vu66 = case vu66 of {
c : t  -> if c `elem` '+' : '-' : [] then concatMap (lexExp0 e c) (lexDigits t) else [];
_  -> []}
;
"
The following Lambda expression
"\vu67->case vu67 of {
(ds,t)  -> (e : ds,t) : [];
_  -> []}
"
is transformed to
"lexExp2 e vu67 = case vu67 of {
(ds,t)  -> (e : ds,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu59->case vu59 of {
(sym,t)  -> (c : sym,t) : [];
_  -> []}
"
is transformed to
"lex2 c vu59 = case vu59 of {
(sym,t)  -> (c : sym,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu60->case vu60 of {
(nam,t)  -> (c : nam,t) : [];
_  -> []}
"
is transformed to
"lex3 c vu60 = case vu60 of {
(nam,t)  -> (c : nam,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu61->case vu61 of {
(fe,t)  -> (c : ds ++ fe,t) : [];
_  -> []}
"
is transformed to
"lex4 c ds vu61 = case vu61 of {
(fe,t)  -> (c : ds ++ fe,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu62->case vu62 of {
(ds,s)  -> concatMap (lex4 c ds) (lexFracExp s);
_  -> []}
"
is transformed to
"lex5 c vu62 = case vu62 of {
(ds,s)  -> concatMap (lex4 c ds) (lexFracExp s);
_  -> []}
;
"
The following Lambda expression
"\ab->(a,b)"
is transformed to
"zip0 a b = (a,b);
"
The following Lambda expression
"\vu68->case vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
"
is transformed to
"nonnull0 vu68 = case vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu88->case vu88 of {
(k,t)  -> (`negate` k,t) : [];
_  -> []}
"
is transformed to
"readExp'0 vu88 = case vu88 of {
(k,t)  -> (`negate` k,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu86->case vu86 of {
(ds',t)  -> (read (ds ++ ds'),length ds',t) : [];
_  -> []}
"
is transformed to
"readFix0 ds vu86 = case vu86 of {
(ds',t)  -> (read (ds ++ ds'),length ds',t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu87->case vu87 of {
(ds,d)  -> concatMap (readFix0 ds) (lexFrac d);
_  -> []}
"
is transformed to
"readFix1 vu87 = case vu87 of {
(ds,d)  -> concatMap (readFix0 ds) (lexFrac d);
_  -> []}
;
"
The following Lambda expression
"\vu82->case vu82 of {
(k,t)  -> (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
_  -> []}
"
is transformed to
"readFloat0 n d vu82 = case vu82 of {
(k,t)  -> (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu83->case vu83 of {
(n,d,s)  -> concatMap (readFloat0 n d) (readExp s);
_  -> []}
"
is transformed to
"readFloat1 vu83 = case vu83 of {
(n,d,s)  -> concatMap (readFloat0 n d) (readExp s);
_  -> []}
;
"
The following Lambda expression
"\vu84->case vu84 of {
('N' : 'a' : 'N' : [],t)  -> (0 / 0,t) : [];
_  -> []}
"
is transformed to
"readFloat2 vu84 = case vu84 of {
('N' : 'a' : 'N' : [],t)  -> (0 / 0,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu85->case vu85 of {
('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t)  -> (1 / 0,t) : [];
_  -> []}
"
is transformed to
"readFloat3 vu85 = case vu85 of {
('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t)  -> (1 / 0,t) : [];
_  -> []}
;
"
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
"\(_,zs)->zs"
is transformed to
"zs0 (_,zs) = zs;
"
The following Lambda expression
"\(ys,_)->ys"
is transformed to
"ys0 (ys,_) = ys;
"
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
"\vu48->case vu48 of {
(')' : [],u)  -> (x,u) : [];
_  -> []}
"
is transformed to
"mandatory0 x vu48 = case vu48 of {
(')' : [],u)  -> (x,u) : [];
_  -> []}
;
"
The following Lambda expression
"\vu49->case vu49 of {
(x,t)  -> concatMap (mandatory0 x) (lex t);
_  -> []}
"
is transformed to
"mandatory1 vu49 = case vu49 of {
(x,t)  -> concatMap (mandatory0 x) (lex t);
_  -> []}
;
"
The following Lambda expression
"\vu50->case vu50 of {
('(' : [],s)  -> concatMap mandatory1 (optional s);
_  -> []}
"
is transformed to
"mandatory2 vu50 = case vu50 of {
('(' : [],s)  -> concatMap mandatory1 (optional s);
_  -> []}
;
"
The following Lambda expression
"\vu80->case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
"
is transformed to
"read''0 s vu80 = case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
;
"
The following Lambda expression
"\vu81->case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
"
is transformed to
"read''1 readPos vu81 = case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
;
"
The following Lambda expression
"\vu78->case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
"
is transformed to
"read'0 vu78 = case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
;
"
The following Lambda expression
"\vu79->case vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
"
is transformed to
"read'1 vu79 = case vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
;
"
The following Lambda expression
"\n_->n + 1"
is transformed to
"length0 n _ = n + 1;
"
The following Lambda expression
"\d->fromEnum d - fromEnum_0"
is transformed to
"readDec0 d = fromEnum d - fromEnum_0;
"
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 : []);
_  -> []}
;
"

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

(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 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 vu68 of {
(cs@(_ : _),t)  -> (cs,t) : [];
_  -> []}
"
is transformed to
"nonnull00 (cs@(_ : _),t) = (cs,t) : [];
nonnull00 _ = [];
"
The following Case expression
"case vu84 of {
('N' : 'a' : 'N' : [],t)  -> (0 / 0,t) : [];
_  -> []}
"
is transformed to
"readFloat20 ('N' : 'a' : 'N' : [],t) = (0 / 0,t) : [];
readFloat20 _ = [];
"
The following Case expression
"case vu85 of {
('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t)  -> (1 / 0,t) : [];
_  -> []}
"
is transformed to
"readFloat30 ('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t) = (1 / 0,t) : [];
readFloat30 _ = [];
"
The following Case expression
"case vu82 of {
(k,t)  -> (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
_  -> []}
"
is transformed to
"readFloat00 n d (k,t) = (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
readFloat00 n d _ = [];
"
The following Case expression
"case vu88 of {
(k,t)  -> (`negate` k,t) : [];
_  -> []}
"
is transformed to
"readExp'00 (k,t) = (`negate` k,t) : [];
readExp'00 _ = [];
"
The following Case expression
"case vu86 of {
(ds',t)  -> (read (ds ++ ds'),length ds',t) : [];
_  -> []}
"
is transformed to
"readFix00 ds (ds',t) = (read (ds ++ ds'),length ds',t) : [];
readFix00 ds _ = [];
"
The following Case expression
"case vu83 of {
(n,d,s)  -> concatMap (readFloat0 n d) (readExp s);
_  -> []}
"
is transformed to
"readFloat10 (n,d,s) = concatMap (readFloat0 n d) (readExp s);
readFloat10 _ = [];
"
The following Case expression
"case vu87 of {
(ds,d)  -> concatMap (readFix0 ds) (lexFrac d);
_  -> []}
"
is transformed to
"readFix10 (ds,d) = concatMap (readFix0 ds) (lexFrac d);
readFix10 _ = [];
"
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 vu77 of {
(ds,r)  -> (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
_  -> []}
"
is transformed to
"readInt10 radix digToInt (ds,r) = (foldl1 (readInt0 radix) (map (fromIntegral . digToInt) ds),r) : [];
readInt10 radix digToInt _ = [];
"
The following Case expression
"case concatMap read1 (reads s) of {
x : []  -> x;
[]  -> error [];
_  -> error []}
"
is transformed to
"read2 (x : []) = x;
read2 [] = error [];
read2 _ = error [];
"
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 vu79 of {
('-' : [],s)  -> concatMap read'0 (read'' s);
_  -> []}
"
is transformed to
"read'10 ('-' : [],s) = concatMap read'0 (read'' s);
read'10 _ = [];
"
The following Case expression
"case vu78 of {
(x,t)  -> (`negate` x,t) : [];
_  -> []}
"
is transformed to
"read'00 (x,t) = (`negate` x,t) : [];
read'00 _ = [];
"
The following Case expression
"case vu80 of {
(n,[])  -> (n,s) : [];
_  -> []}
"
is transformed to
"read''00 s (n,[]) = (n,s) : [];
read''00 s _ = [];
"
The following Case expression
"case vu81 of {
(str,s)  -> concatMap (read''0 s) (readPos str);
_  -> []}
"
is transformed to
"read''10 readPos (str,s) = concatMap (read''0 s) (readPos str);
read''10 readPos _ = [];
"
The following Case expression
"case concatMap (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 primGEqNatS x y then Succ (primDivNatS (primMinusNatS x y) (Succ y)) else Zero"
is transformed to
"primDivNatS0 x y True = Succ (primDivNatS (primMinusNatS x y) (Succ y));
primDivNatS0 x y False = Zero;
"
The following If expression
"if ch /= ''' : [] then (''' : ch ++ ''' : [],t) : [] else []"
is transformed to
"lex000 ch t True = (''' : ch ++ ''' : [],t) : [];
lex000 ch t False = [];
"
The following If expression
"if n >= 0 then x ^ n else recip (x ^ (`negate` n))"
is transformed to
"prPr0 x n True = x ^ n;
prPr0 x n False = recip (x ^ (`negate` n));
"
The following If expression
"if b then mandatory else optional"
is transformed to
"readParen0 True = mandatory;
readParen0 False = optional;
"
The following If expression
"if primGEqNatS x y then primModNatS (primMinusNatS x y) (Succ y) else Succ x"
is transformed to
"primModNatS0 x y True = primModNatS (primMinusNatS x y) (Succ y);
primModNatS0 x y False = Succ x;
"

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

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

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

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

Binding Reductions:
The bind variable of the following binding Pattern
"xs@(vux : vuy)"
is replaced by the following term
"vux : vuy"
The bind variable of the following binding Pattern
"xs@(vvw : vvx)"
is replaced by the following term
"vvw : vvx"
The bind variable of the following binding Pattern
"cs@(vww : vwx)"
is replaced by the following term
"vww : vwx"
The bind variable of the following binding Pattern
"s@(vzw : vzx)"
is replaced by the following term
"vzw : vzx"

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

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

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

(9) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"takeWhile p [] = [];
takeWhile p (x : xs)|p xx : takeWhile p xs|otherwise[];
"
is transformed to
"takeWhile p [] = takeWhile3 p [];
takeWhile p (x : xs) = takeWhile2 p (x : xs);
"
"takeWhile1 p x xs True = x : takeWhile p xs;
takeWhile1 p x xs False = takeWhile0 p x xs otherwise;
"
"takeWhile0 p x xs True = [];
"
"takeWhile2 p (x : xs) = takeWhile1 p x xs (p x);
"
"takeWhile3 p [] = [];
takeWhile3 wwv www = takeWhile2 wwv www;
"
The following Function with conditions
"gcd' x 0 = x;
gcd' x y = gcd' y (x `rem` y);
"
is transformed to
"gcd' x wwx = gcd'2 x wwx;
gcd' x y = gcd'0 x y;
"
"gcd'0 x y = gcd' y (x `rem` y);
"
"gcd'1 True x wwx = x;
gcd'1 wwy wwz wxu = gcd'0 wwz wxu;
"
"gcd'2 x wwx = gcd'1 (wwx == 0) x wwx;
gcd'2 wxv wxw = gcd'0 wxv wxw;
"
The following Function with conditions
"gcd 0 0 = error [];
gcd x y = gcd' (abs x) (abs y) where {
gcd' x 0 = x;
gcd' x y = gcd' y (x `rem` y);
} 
;
"
is transformed to
"gcd wxx wxy = gcd3 wxx wxy;
gcd x y = gcd0 x y;
"
"gcd0 x y = gcd' (abs x) (abs y) where {
gcd' x wwx = gcd'2 x wwx;
gcd' x y = gcd'0 x y;
;
gcd'0 x y = gcd' y (x `rem` y);
;
gcd'1 True x wwx = x;
gcd'1 wwy wwz wxu = gcd'0 wwz wxu;
;
gcd'2 x wwx = gcd'1 (wwx == 0) x wwx;
gcd'2 wxv wxw = gcd'0 wxv wxw;
} 
;
"
"gcd1 True wxx wxy = error [];
gcd1 wxz wyu wyv = gcd0 wyu wyv;
"
"gcd2 True wxx wxy = gcd1 (wxy == 0) wxx wxy;
gcd2 wyw wyx wyy = gcd0 wyx wyy;
"
"gcd3 wxx wxy = gcd2 (wxx == 0) wxx wxy;
gcd3 wyz wzu = gcd0 wyz wzu;
"
The following Function with conditions
"lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
"
is transformed to
"lexString (wzw : s) = lexString4 (wzw : s);
lexString s = lexString2 s;
"
"lexString2 s = concatMap lexString1 (lexStrItem s);
"
"lexString3 True (wzw : s) = ('"' : [],s) : [];
lexString3 wzx wzy = lexString2 wzy;
"
"lexString4 (wzw : s) = lexString3 (wzw == '"') (wzw : s);
lexString4 wzz = lexString2 wzz;
"
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 (xvx : xwv) = lexStrItem7 (xvx : xwv);
lexStrItem (xuv : xuy) = lexStrItem4 (xuv : xuy);
lexStrItem s = lexStrItem1 s;
"
"lexStrItem1 s = lexLitChar s;
"
"lexStrItem2 xuv c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 xuv c s False = lexStrItem1 (xuv : c : s);
"
"lexStrItem3 True (xuv : c : s) = lexStrItem2 xuv c s (isSpace c);
lexStrItem3 xuz xvu = lexStrItem1 xvu;
"
"lexStrItem4 (xuv : xuy) = lexStrItem3 (xuv == '\') (xuv : xuy);
lexStrItem4 xvv = lexStrItem1 xvv;
"
"lexStrItem5 True (xvx : xvz : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xww xwx = lexStrItem4 xwx;
"
"lexStrItem6 True (xvx : xvz : s) = lexStrItem5 (xvz == '&') (xvx : xvz : s);
lexStrItem6 xwy xwz = lexStrItem4 xwz;
"
"lexStrItem7 (xvx : xwv) = lexStrItem6 (xvx == '\') (xvx : xwv);
lexStrItem7 xxu = lexStrItem4 xxu;
"
The following Function with conditions
"lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 vy = [];
"
is transformed to
"lexStrItem00 (xxw : t) = lexStrItem002 (xxw : t);
lexStrItem00 vy = lexStrItem000 vy;
"
"lexStrItem000 vy = [];
"
"lexStrItem001 True (xxw : t) = ([],t) : [];
lexStrItem001 xxx xxy = lexStrItem000 xxy;
"
"lexStrItem002 (xxw : t) = lexStrItem001 (xxw == '\') (xxw : t);
lexStrItem002 xxz = lexStrItem000 xxz;
"
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 xyv = lexExp3 xyv;
"
The following Function with conditions
"lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
"
is transformed to
"lexFracExp (xyx : xzu) = lexFracExp5 (xyx : xzu);
lexFracExp s = lexFracExp2 s;
"
"lexFracExp2 s = lexExp s;
"
"lexFracExp3 xyx c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyx c cs False = lexFracExp2 (xyx : c : cs);
"
"lexFracExp4 True (xyx : c : cs) = lexFracExp3 xyx c cs (isDigit c);
lexFracExp4 xzv xzw = lexFracExp2 xzw;
"
"lexFracExp5 (xyx : xzu) = lexFracExp4 (xyx == '.') (xyx : xzu);
lexFracExp5 xzx = lexFracExp2 xzx;
"
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 vz = [];
;
lexStrItem ('\' : '&' : s) = ('\' : '&' : [],s) : [];
lexStrItem ('\' : c : s)|isSpace cconcatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem s = lexLitChar s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 vy = [];
;
lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vw = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 vx = [];
} 
;
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` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c xv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds wz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xu = [];
;
lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c wu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e ww = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e wv = [];
;
lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds wy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 wx = [];
} 
;
"
is transformed to
"lex [] = lex19 [];
lex (c : s) = lex18 (c : s);
lex (yuz : s) = lex16 (yuz : s);
lex (yuu : s) = lex14 (yuu : s);
lex (c : s) = lex12 (c : s);
"
"lex12 (c : s) = lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
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 xv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds wz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xu = [];
;
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 wu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e ww = [];
;
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 wv = [];
;
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 xyv = lexExp3 xyv;
;
lexFracExp (xyx : xzu) = lexFracExp5 (xyx : xzu);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds wy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 wx = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 xyx c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyx c cs False = lexFracExp2 (xyx : c : cs);
;
lexFracExp4 True (xyx : c : cs) = lexFracExp3 xyx c cs (isDigit c);
lexFracExp4 xzv xzw = lexFracExp2 xzw;
;
lexFracExp5 (xyx : xzu) = lexFracExp4 (xyx == '.') (xyx : xzu);
lexFracExp5 xzx = lexFracExp2 xzx;
} 
;
"
"lex13 True (yuu : s) = concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 vz = [];
;
lexStrItem (xvx : xwv) = lexStrItem7 (xvx : xwv);
lexStrItem (xuv : xuy) = lexStrItem4 (xuv : xuy);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (xxw : t) = lexStrItem002 (xxw : t);
lexStrItem00 vy = lexStrItem000 vy;
;
lexStrItem000 vy = [];
;
lexStrItem001 True (xxw : t) = ([],t) : [];
lexStrItem001 xxx xxy = lexStrItem000 xxy;
;
lexStrItem002 (xxw : t) = lexStrItem001 (xxw == '\') (xxw : t);
lexStrItem002 xxz = lexStrItem000 xxz;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 xuv c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 xuv c s False = lexStrItem1 (xuv : c : s);
;
lexStrItem3 True (xuv : c : s) = lexStrItem2 xuv c s (isSpace c);
lexStrItem3 xuz xvu = lexStrItem1 xvu;
;
lexStrItem4 (xuv : xuy) = lexStrItem3 (xuv == '\') (xuv : xuy);
lexStrItem4 xvv = lexStrItem1 xvv;
;
lexStrItem5 True (xvx : xvz : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xww xwx = lexStrItem4 xwx;
;
lexStrItem6 True (xvx : xvz : s) = lexStrItem5 (xvz == '&') (xvx : xvz : s);
lexStrItem6 xwy xwz = lexStrItem4 xwz;
;
lexStrItem7 (xvx : xwv) = lexStrItem6 (xvx == '\') (xvx : xwv);
lexStrItem7 xxu = lexStrItem4 xxu;
;
lexString (wzw : s) = lexString4 (wzw : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vw = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 vx = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (wzw : s) = ('"' : [],s) : [];
lexString3 wzx wzy = lexString2 wzy;
;
lexString4 (wzw : s) = lexString3 (wzw == '"') (wzw : s);
lexString4 wzz = lexString2 wzz;
} 
;
lex13 yuv yuw = lex12 yuw;
"
"lex14 (yuu : s) = lex13 (yuu == '"') (yuu : s);
lex14 yux = lex12 yux;
"
"lex15 True (yuz : s) = concatMap lex0 (lexLitChar s);
lex15 yvu yvv = lex14 yvv;
"
"lex16 (yuz : s) = lex15 (yuz == ''') (yuz : s);
lex16 yvw = lex14 yvw;
"
"lex17 c s True = lex (dropWhile isSpace s);
lex17 c s False = lex16 (c : s);
"
"lex18 (c : s) = lex17 c s (isSpace c);
lex18 yvy = lex16 yvy;
"
"lex19 [] = ([],[]) : [];
lex19 ywu = lex18 ywu;
"
The following Function with conditions
"reduce x y|y == 0error []|otherwisex `quot` d :% (y `quot` d) where {
d  = gcd x y;
} 
;
"
is transformed to
"reduce x y = reduce2 x y;
"
"reduce2 x y = reduce1 x y (y == 0) where {
d  = gcd x y;
;
reduce0 x y True = x `quot` d :% (y `quot` d);
;
reduce1 x y True = error [];
reduce1 x y False = reduce0 x y otherwise;
} 
;
"
The following Function with conditions
"signumReal x|x == 00|x > 01|otherwise-1;
"
is transformed to
"signumReal x = signumReal3 x;
"
"signumReal2 x True = 0;
signumReal2 x False = signumReal1 x (x > 0);
"
"signumReal1 x True = 1;
signumReal1 x False = signumReal0 x otherwise;
"
"signumReal0 x True = -1;
"
"signumReal3 x = signumReal2 x (x == 0);
"
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"
The following Function with conditions
"readExp (e : s)|e `elem` 'e' : 'E' : []readExp' s;
readExp s = (0,s) : [];
"
is transformed to
"readExp (e : s) = readExp2 (e : s);
readExp s = readExp0 s;
"
"readExp0 s = (0,s) : [];
"
"readExp1 e s True = readExp' s;
readExp1 e s False = readExp0 (e : s);
"
"readExp2 (e : s) = readExp1 e s (e `elem` 'e' : 'E' : []);
readExp2 yww = readExp0 yww;
"
The following Function with conditions
"readExp' ('-' : s) = concatMap readExp'0 (readDec s);
readExp' ('+' : s) = readDec s;
readExp' s = readDec s;
"
is transformed to
"readExp' (yxx : s) = readExp'5 (yxx : s);
readExp' (ywy : s) = readExp'3 (ywy : s);
readExp' s = readExp'1 s;
"
"readExp'1 s = readDec s;
"
"readExp'2 True (ywy : s) = readDec s;
readExp'2 ywz yxu = readExp'1 yxu;
"
"readExp'3 (ywy : s) = readExp'2 (ywy == '+') (ywy : s);
readExp'3 yxv = readExp'1 yxv;
"
"readExp'4 True (yxx : s) = concatMap readExp'0 (readDec s);
readExp'4 yxy yxz = readExp'3 yxz;
"
"readExp'5 (yxx : s) = readExp'4 (yxx == '-') (yxx : s);
readExp'5 yyu = readExp'3 yyu;
"
The following Function with conditions
"lexFrac ('.' : s) = lexDigits s;
lexFrac s = ([],s) : [];
"
is transformed to
"lexFrac (yyw : s) = lexFrac2 (yyw : s);
lexFrac s = lexFrac0 s;
"
"lexFrac0 s = ([],s) : [];
"
"lexFrac1 True (yyw : s) = lexDigits s;
lexFrac1 yyx yyy = lexFrac0 yyy;
"
"lexFrac2 (yyw : s) = lexFrac1 (yyw == '.') (yyw : s);
lexFrac2 yyz = lexFrac0 yyz;
"
The following Function with conditions
"readFloat20 ('N' : 'a' : 'N' : [],t) = (0 / 0,t) : [];
readFloat20 zx = [];
"
is transformed to
"readFloat20 (yzw : zuz,t) = readFloat204 (yzw : zuz,t);
readFloat20 zx = readFloat200 zx;
"
"readFloat200 zx = [];
"
"readFloat201 True (yzw : yzy : zuu : [],t) = (0 / 0,t) : [];
readFloat201 zvu zvv = readFloat200 zvv;
"
"readFloat202 True (yzw : yzy : zuu : zuv,t) = readFloat201 (zuu == 'N') (yzw : yzy : zuu : zuv,t);
readFloat202 zvw zvx = readFloat200 zvx;
"
"readFloat203 True (yzw : yzy : zux,t) = readFloat202 (yzy == 'a') (yzw : yzy : zux,t);
readFloat203 zvy zvz = readFloat200 zvz;
"
"readFloat204 (yzw : zuz,t) = readFloat203 (yzw == 'N') (yzw : zuz,t);
readFloat204 zwu = readFloat200 zwu;
"
The following Function with conditions
"readFloat30 ('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t) = (1 / 0,t) : [];
readFloat30 zz = [];
"
is transformed to
"readFloat30 (zwx : vuvw,t) = readFloat309 (zwx : vuvw,t);
readFloat30 zz = readFloat300 zz;
"
"readFloat300 zz = [];
"
"readFloat301 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : [],t) = (1 / 0,t) : [];
readFloat301 vuvx vuvy = readFloat300 vuvy;
"
"readFloat302 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t) = readFloat301 (zyz == 'y') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t);
readFloat302 vuvz vuwu = readFloat300 vuwu;
"
"readFloat303 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t) = readFloat302 (zyx == 't') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t);
readFloat303 vuwv vuww = readFloat300 vuww;
"
"readFloat304 True (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t) = readFloat303 (zyv == 'i') (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t);
readFloat304 vuwx vuwy = readFloat300 vuwy;
"
"readFloat305 True (zwx : zwz : zxv : zxx : zxz : vuuu,t) = readFloat304 (zxz == 'n') (zwx : zwz : zxv : zxx : zxz : vuuu,t);
readFloat305 vuwz vuxu = readFloat300 vuxu;
"
"readFloat306 True (zwx : zwz : zxv : zxx : vuuw,t) = readFloat305 (zxx == 'i') (zwx : zwz : zxv : zxx : vuuw,t);
readFloat306 vuxv vuxw = readFloat300 vuxw;
"
"readFloat307 True (zwx : zwz : zxv : vuuy,t) = readFloat306 (zxv == 'f') (zwx : zwz : zxv : vuuy,t);
readFloat307 vuxx vuxy = readFloat300 vuxy;
"
"readFloat308 True (zwx : zwz : vuvu,t) = readFloat307 (zwz == 'n') (zwx : zwz : vuvu,t);
readFloat308 vuxz vuyu = readFloat300 vuyu;
"
"readFloat309 (zwx : vuvw,t) = readFloat308 (zwx == 'I') (zwx : vuvw,t);
readFloat309 vuyv = readFloat300 vuyv;
"
The following Function with conditions
"g x n|even ng (x * x) (n `quot` 2)|otherwisef x (n - 1) (x * y);
"
is transformed to
"g x n = g2 x n;
"
"g0 x n True = f x (n - 1) (x * y);
"
"g1 x n True = g (x * x) (n `quot` 2);
g1 x n False = g0 x n otherwise;
"
"g2 x n = g1 x n (even n);
"
The following Function with conditions
"f vuu 0 y = y;
f x n y = g x n where {
g x n|even ng (x * x) (n `quot` 2)|otherwisef x (n - 1) (x * y);
} 
;
"
is transformed to
"f vuu vuyw y = f4 vuu vuyw y;
f x n y = f0 x n y;
"
"f0 x n y = g x n where {
g x n = g2 x n;
;
g0 x n True = f x (n - 1) (x * y);
;
g1 x n True = g (x * x) (n `quot` 2);
g1 x n False = g0 x n otherwise;
;
g2 x n = g1 x n (even n);
} 
;
"
"f3 True vuu vuyw y = y;
f3 vuyx vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
"
"f4 vuu vuyw y = f3 (vuyw == 0) vuu vuyw y;
f4 vuzv vuzw vuzx = f0 vuzv vuzw vuzx;
"
The following Function with conditions
"^ x 0 = 1;
^ x n|n > 0f x (n - 1) x where {
f vuu 0 y = y;
f x n y = g x n where {
g x n|even ng (x * x) (n `quot` 2)|otherwisef x (n - 1) (x * y);
} 
;
} 
;
^ vuv vuw = error [];
"
is transformed to
"^ x vvuu = pr4 x vvuu;
^ x n = pr2 x n;
^ vuv vuw = pr0 vuv vuw;
"
"pr0 vuv vuw = error [];
"
"pr2 x n = pr1 x n (n > 0) where {
f vuu vuyw y = f4 vuu vuyw y;
f x n y = f0 x n y;
;
f0 x n y = g x n where {
g x n = g2 x n;
;
g0 x n True = f x (n - 1) (x * y);
;
g1 x n True = g (x * x) (n `quot` 2);
g1 x n False = g0 x n otherwise;
;
g2 x n = g1 x n (even n);
} 
;
;
f3 True vuu vuyw y = y;
f3 vuyx vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
;
f4 vuu vuyw y = f3 (vuyw == 0) vuu vuyw y;
f4 vuzv vuzw vuzx = f0 vuzv vuzw vuzx;
;
pr1 x n True = f x (n - 1) x;
pr1 x n False = pr0 x n;
} 
;
pr2 vuzy vuzz = pr0 vuzy vuzz;
"
"pr3 True x vvuu = 1;
pr3 vvuv vvuw vvux = pr2 vvuw vvux;
"
"pr4 x vvuu = pr3 (vvuu == 0) x vvuu;
pr4 vvuy vvuz = pr2 vvuy vvuz;
"
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);
"
"dropWhile0 p vux vuy True = vux : vuy;
"
"dropWhile1 p vux vuy True = dropWhile p vuy;
dropWhile1 p vux vuy False = dropWhile0 p vux vuy otherwise;
"
"dropWhile2 p (vux : vuy) = dropWhile1 p vux vuy (p vux);
"
"dropWhile3 p [] = [];
dropWhile3 vvvw vvvx = dropWhile2 vvvw vvvx;
"
The following Function with conditions
"lex00 (ch,''' : t) = lex000 ch t (ch /= ''' : []);
lex00 vvv = [];
"
is transformed to
"lex00 (ch,vvwu : t) = lex003 (ch,vvwu : t);
lex00 vvv = lex001 vvv;
"
"lex001 vvv = [];
"
"lex002 True (ch,vvwu : t) = lex000 ch t (ch /= ''' : []);
lex002 vvwv vvww = lex001 vvww;
"
"lex003 (ch,vvwu : t) = lex002 (vvwu == ''') (ch,vvwu : t);
lex003 vvwx = lex001 vvwx;
"
The following Function with conditions
"span p [] = ([],[]);
span p (vvw : vvx)|p vvw(vvw : ys,zs)|otherwise([],vvw : vvx) where {
vu43  = span p vvx;
;
ys  = ys0 vu43;
;
ys0 (ys,vvz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vvy,zs) = zs;
} 
;
"
is transformed to
"span p [] = span3 p [];
span p (vvw : vvx) = span2 p (vvw : vvx);
"
"span2 p (vvw : vvx) = span1 p vvw vvx (p vvw) where {
span0 p vvw vvx True = ([],vvw : vvx);
;
span1 p vvw vvx True = (vvw : ys,zs);
span1 p vvw vvx False = span0 p vvw vvx otherwise;
;
vu43  = span p vvx;
;
ys  = ys0 vu43;
;
ys0 (ys,vvz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vvy,zs) = zs;
} 
;
"
"span3 p [] = ([],[]);
span3 vvxu vvxv = span2 vvxu vvxv;
"
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 vvxy vvxz = lexmatch0 vvxy vvxz;
"
The following Function with conditions
"absReal x|x >= 0x|otherwise`negate` x;
"
is transformed to
"absReal x = absReal2 x;
"
"absReal0 x True = `negate` x;
"
"absReal1 x True = x;
absReal1 x False = absReal0 x otherwise;
"
"absReal2 x = absReal1 x (x >= 0);
"
The following Function with conditions
"mandatory20 ('(' : [],s) = concatMap mandatory1 (optional s);
mandatory20 vyu = [];
"
is transformed to
"mandatory20 (vvyw : vvyx,s) = mandatory202 (vvyw : vvyx,s);
mandatory20 vyu = mandatory200 vyu;
"
"mandatory200 vyu = [];
"
"mandatory201 True (vvyw : [],s) = concatMap mandatory1 (optional s);
mandatory201 vvyy vvyz = mandatory200 vvyz;
"
"mandatory202 (vvyw : vvyx,s) = mandatory201 (vvyw == '(') (vvyw : vvyx,s);
mandatory202 vvzu = mandatory200 vvzu;
"
The following Function with conditions
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x vyv = [];
"
is transformed to
"mandatory00 x (vvzx : vvzy,u) = mandatory002 x (vvzx : vvzy,u);
mandatory00 x vyv = mandatory000 x vyv;
"
"mandatory000 x vyv = [];
"
"mandatory001 True x (vvzx : [],u) = (x,u) : [];
mandatory001 vvzz vwuu vwuv = mandatory000 vwuu vwuv;
"
"mandatory002 x (vvzx : vvzy,u) = mandatory001 (vvzx == ')') x (vvzx : vvzy,u);
mandatory002 vwuw vwux = mandatory000 vwuw vwux;
"
The following Function with conditions
"read'10 ('-' : [],s) = concatMap read'0 (read'' s);
read'10 vyz = [];
"
is transformed to
"read'10 (vwvu : vwvv,s) = read'102 (vwvu : vwvv,s);
read'10 vyz = read'100 vyz;
"
"read'100 vyz = [];
"
"read'101 True (vwvu : [],s) = concatMap read'0 (read'' s);
read'101 vwvw vwvx = read'100 vwvx;
"
"read'102 (vwvu : vwvv,s) = read'101 (vwvu == '-') (vwvu : vwvv,s);
read'102 vwvy = read'100 vwvy;
"
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 (vzw : vzx)|isDigit vzwspan isDigit (vzw : vzx) : []|isUpper vzwlexEsc2 (concatMap (lexEsc1 (vzw : vzx)) table);
lexEsc vzy = [];
"
is transformed to
"lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (vwyu : vwyx) = lexEsc14 (vwyu : vwyx);
lexEsc (vwxv : s) = lexEsc11 (vwxv : s);
lexEsc (vwww : s) = lexEsc8 (vwww : s);
lexEsc (vzw : vzx) = lexEsc6 (vzw : vzx);
lexEsc vzy = lexEsc3 vzy;
"
"lexEsc3 vzy = [];
"
"lexEsc5 vzw vzx True = span isDigit (vzw : vzx) : [];
lexEsc5 vzw vzx False = lexEsc4 vzw vzx (isUpper vzw);
"
"lexEsc4 vzw vzx True = lexEsc2 (concatMap (lexEsc1 (vzw : vzx)) table);
lexEsc4 vzw vzx False = lexEsc3 (vzw : vzx);
"
"lexEsc6 (vzw : vzx) = lexEsc5 vzw vzx (isDigit vzw);
lexEsc6 vwwu = lexEsc3 vwwu;
"
"lexEsc7 True (vwww : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwx vwwy = lexEsc6 vwwy;
"
"lexEsc8 (vwww : s) = lexEsc7 (vwww == 'x') (vwww : s);
lexEsc8 vwwz = lexEsc6 vwwz;
"
"lexEsc9 True (vwxv : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwxw vwxx = lexEsc8 vwxx;
"
"lexEsc11 (vwxv : s) = lexEsc9 (vwxv == 'o') (vwxv : s);
lexEsc11 vwxy = lexEsc8 vwxy;
"
"lexEsc12 vwyu c s True = ('^' : c : [],s) : [];
lexEsc12 vwyu c s False = lexEsc11 (vwyu : c : s);
"
"lexEsc13 True (vwyu : c : s) = lexEsc12 vwyu c s (c >= '@' && c <= '_');
lexEsc13 vwyy vwyz = lexEsc11 vwyz;
"
"lexEsc14 (vwyu : vwyx) = lexEsc13 (vwyu == '^') (vwyu : vwyx);
lexEsc14 vwzu = lexEsc11 vwzu;
"
"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 vwzw = lexEsc14 vwzw;
"
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 (vzw : vzx)|isDigit vzwspan isDigit (vzw : vzx) : []|isUpper vzwlexEsc2 (concatMap (lexEsc1 (vzw : vzx)) table);
lexEsc vzy = [];
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wuu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wuv = [];
;
lexEsc2 (pr : vzz) = 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 (vwyu : vwyx) = lexEsc14 (vwyu : vwyx);
lexEsc (vwxv : s) = lexEsc11 (vwxv : s);
lexEsc (vwww : s) = lexEsc8 (vwww : s);
lexEsc (vzw : vzx) = lexEsc6 (vzw : vzx);
lexEsc vzy = lexEsc3 vzy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wuu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wuv = [];
;
lexEsc11 (vwxv : s) = lexEsc9 (vwxv == 'o') (vwxv : s);
lexEsc11 vwxy = lexEsc8 vwxy;
;
lexEsc12 vwyu c s True = ('^' : c : [],s) : [];
lexEsc12 vwyu c s False = lexEsc11 (vwyu : c : s);
;
lexEsc13 True (vwyu : c : s) = lexEsc12 vwyu c s (c >= '@' && c <= '_');
lexEsc13 vwyy vwyz = lexEsc11 vwyz;
;
lexEsc14 (vwyu : vwyx) = lexEsc13 (vwyu == '^') (vwyu : vwyx);
lexEsc14 vwzu = lexEsc11 vwzu;
;
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 vwzw = lexEsc14 vwzw;
;
lexEsc2 (pr : vzz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vzy = [];
;
lexEsc4 vzw vzx True = lexEsc2 (concatMap (lexEsc1 (vzw : vzx)) table);
lexEsc4 vzw vzx False = lexEsc3 (vzw : vzx);
;
lexEsc5 vzw vzx True = span isDigit (vzw : vzx) : [];
lexEsc5 vzw vzx False = lexEsc4 vzw vzx (isUpper vzw);
;
lexEsc6 (vzw : vzx) = lexEsc5 vzw vzx (isDigit vzw);
lexEsc6 vwwu = lexEsc3 vwwu;
;
lexEsc7 True (vwww : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwx vwwy = lexEsc6 vwwy;
;
lexEsc8 (vwww : s) = lexEsc7 (vwww == 'x') (vwww : s);
lexEsc8 vwwz = lexEsc6 vwwz;
;
lexEsc9 True (vwxv : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwxw vwxx = lexEsc8 vwxx;
;
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 vwzz = lexLitChar2 vwzz;
"

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

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

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

(11) LetRed (EQUIVALENT)
Let/Where Reductions:
The bindings of the following Let/Where expression
"gcd' (abs x) (abs y) where {
gcd' x wwx = gcd'2 x wwx;
gcd' x y = gcd'0 x y;
;
gcd'0 x y = gcd' y (x `rem` y);
;
gcd'1 True x wwx = x;
gcd'1 wwy wwz wxu = gcd'0 wwz wxu;
;
gcd'2 x wwx = gcd'1 (wwx == 0) x wwx;
gcd'2 wxv wxw = gcd'0 wxv wxw;
} 
"
are unpacked to the following functions on top level
"gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y);
"
"gcd0Gcd'2 x wwx = gcd0Gcd'1 (wwx == 0) x wwx;
gcd0Gcd'2 wxv wxw = gcd0Gcd'0 wxv wxw;
"
"gcd0Gcd' x wwx = gcd0Gcd'2 x wwx;
gcd0Gcd' x y = gcd0Gcd'0 x y;
"
"gcd0Gcd'1 True x wwx = x;
gcd0Gcd'1 wwy wwz wxu = gcd0Gcd'0 wwz wxu;
"
The bindings of the following Let/Where expression
"reduce1 x y (y == 0) where {
d  = gcd x y;
;
reduce0 x y True = x `quot` d :% (y `quot` d);
;
reduce1 x y True = error [];
reduce1 x y False = reduce0 x y otherwise;
} 
"
are unpacked to the following functions on top level
"reduce2D vxuu vxuv = gcd vxuu vxuv;
"
"reduce2Reduce1 vxuu vxuv x y True = error [];
reduce2Reduce1 vxuu vxuv x y False = reduce2Reduce0 vxuu vxuv x y otherwise;
"
"reduce2Reduce0 vxuu vxuv x y True = x `quot` reduce2D vxuu vxuv :% (y `quot` reduce2D vxuu vxuv);
"
The bindings of the following Let/Where expression
"lexLitChar1 c s (c /= '\') where {
lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (vwyu : vwyx) = lexEsc14 (vwyu : vwyx);
lexEsc (vwxv : s) = lexEsc11 (vwxv : s);
lexEsc (vwww : s) = lexEsc8 (vwww : s);
lexEsc (vzw : vzx) = lexEsc6 (vzw : vzx);
lexEsc vzy = lexEsc3 vzy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wuu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wuv = [];
;
lexEsc11 (vwxv : s) = lexEsc9 (vwxv == 'o') (vwxv : s);
lexEsc11 vwxy = lexEsc8 vwxy;
;
lexEsc12 vwyu c s True = ('^' : c : [],s) : [];
lexEsc12 vwyu c s False = lexEsc11 (vwyu : c : s);
;
lexEsc13 True (vwyu : c : s) = lexEsc12 vwyu c s (c >= '@' && c <= '_');
lexEsc13 vwyy vwyz = lexEsc11 vwyz;
;
lexEsc14 (vwyu : vwyx) = lexEsc13 (vwyu == '^') (vwyu : vwyx);
lexEsc14 vwzu = lexEsc11 vwzu;
;
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 vwzw = lexEsc14 vwzw;
;
lexEsc2 (pr : vzz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 vzy = [];
;
lexEsc4 vzw vzx True = lexEsc2 (concatMap (lexEsc1 (vzw : vzx)) table);
lexEsc4 vzw vzx False = lexEsc3 (vzw : vzx);
;
lexEsc5 vzw vzx True = span isDigit (vzw : vzx) : [];
lexEsc5 vzw vzx False = lexEsc4 vzw vzx (isUpper vzw);
;
lexEsc6 (vzw : vzx) = lexEsc5 vzw vzx (isDigit vzw);
lexEsc6 vwwu = lexEsc3 vwwu;
;
lexEsc7 True (vwww : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwx vwwy = lexEsc6 vwwy;
;
lexEsc8 (vwww : s) = lexEsc7 (vwww == 'x') (vwww : s);
lexEsc8 vwwz = lexEsc6 vwwz;
;
lexEsc9 True (vwxv : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwxw vwxx = lexEsc8 vwxx;
;
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
"lexLitChar2LexEsc0 mne vu69 = lexLitChar2LexEsc00 mne vu69;
"
"lexLitChar2LexEsc10 s (c,mne) = concatMap (lexLitChar2LexEsc0 mne) (lexmatch mne s : []);
lexLitChar2LexEsc10 s wuv = [];
"
"lexLitChar2LexEsc16 (c : s) = lexLitChar2LexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexLitChar2LexEsc16 vwzw = lexLitChar2LexEsc14 vwzw;
"
"lexLitChar2LexEsc00 mne ([],s') = (mne,s') : [];
lexLitChar2LexEsc00 mne wuu = [];
"
"lexLitChar2LexLitChar0 c s True = map (lexLitChar2Prefix '\') (lexLitChar2LexEsc s);
"
"lexLitChar2LexEsc11 (vwxv : s) = lexLitChar2LexEsc9 (vwxv == 'o') (vwxv : s);
lexLitChar2LexEsc11 vwxy = lexLitChar2LexEsc8 vwxy;
"
"lexLitChar2LexEsc7 True (vwww : s) = lexLitChar2Prefix 'x' (span isHexDigit s) : [];
lexLitChar2LexEsc7 vwwx vwwy = lexLitChar2LexEsc6 vwwy;
"
"lexLitChar2Table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
"
"lexLitChar2LexEsc9 True (vwxv : s) = lexLitChar2Prefix 'o' (span isOctDigit s) : [];
lexLitChar2LexEsc9 vwxw vwxx = lexLitChar2LexEsc8 vwxx;
"
"lexLitChar2LexEsc4 vzw vzx True = lexLitChar2LexEsc2 (concatMap (lexLitChar2LexEsc1 (vzw : vzx)) lexLitChar2Table);
lexLitChar2LexEsc4 vzw vzx False = lexLitChar2LexEsc3 (vzw : vzx);
"
"lexLitChar2LexEsc1 s vu70 = lexLitChar2LexEsc10 s vu70;
"
"lexLitChar2LexEsc5 vzw vzx True = span isDigit (vzw : vzx) : [];
lexLitChar2LexEsc5 vzw vzx False = lexLitChar2LexEsc4 vzw vzx (isUpper vzw);
"
"lexLitChar2LexEsc3 vzy = [];
"
"lexLitChar2Prefix c (t,s) = (c : t,s);
"
"lexLitChar2LexEsc15 c s True = (c : [],s) : [];
lexLitChar2LexEsc15 c s False = lexLitChar2LexEsc14 (c : s);
"
"lexLitChar2LexEsc8 (vwww : s) = lexLitChar2LexEsc7 (vwww == 'x') (vwww : s);
lexLitChar2LexEsc8 vwwz = lexLitChar2LexEsc6 vwwz;
"
"lexLitChar2LexEsc6 (vzw : vzx) = lexLitChar2LexEsc5 vzw vzx (isDigit vzw);
lexLitChar2LexEsc6 vwwu = lexLitChar2LexEsc3 vwwu;
"
"lexLitChar2LexEsc2 (pr : vzz) = pr : [];
lexLitChar2LexEsc2 [] = [];
"
"lexLitChar2LexEsc12 vwyu c s True = ('^' : c : [],s) : [];
lexLitChar2LexEsc12 vwyu c s False = lexLitChar2LexEsc11 (vwyu : c : s);
"
"lexLitChar2LexEsc13 True (vwyu : c : s) = lexLitChar2LexEsc12 vwyu c s (c >= '@' && c <= '_');
lexLitChar2LexEsc13 vwyy vwyz = lexLitChar2LexEsc11 vwyz;
"
"lexLitChar2LexEsc (c : s) = lexLitChar2LexEsc16 (c : s);
lexLitChar2LexEsc (vwyu : vwyx) = lexLitChar2LexEsc14 (vwyu : vwyx);
lexLitChar2LexEsc (vwxv : s) = lexLitChar2LexEsc11 (vwxv : s);
lexLitChar2LexEsc (vwww : s) = lexLitChar2LexEsc8 (vwww : s);
lexLitChar2LexEsc (vzw : vzx) = lexLitChar2LexEsc6 (vzw : vzx);
lexLitChar2LexEsc vzy = lexLitChar2LexEsc3 vzy;
"
"lexLitChar2LexLitChar1 c s True = (c : [],s) : [];
lexLitChar2LexLitChar1 c s False = lexLitChar2LexLitChar0 c s otherwise;
"
"lexLitChar2LexEsc14 (vwyu : vwyx) = lexLitChar2LexEsc13 (vwyu == '^') (vwyu : vwyx);
lexLitChar2LexEsc14 vwzu = lexLitChar2LexEsc11 vwzu;
"
The bindings of the following Let/Where expression
"concatMap readFloat1 (readFix r) ++ concatMap readFloat2 (lex r) ++ concatMap readFloat3 (lex r) where {
lexFrac (yyw : s) = lexFrac2 (yyw : s);
lexFrac s = lexFrac0 s;
;
lexFrac0 s = ([],s) : [];
;
lexFrac1 True (yyw : s) = lexDigits s;
lexFrac1 yyx yyy = lexFrac0 yyy;
;
lexFrac2 (yyw : s) = lexFrac1 (yyw == '.') (yyw : s);
lexFrac2 yyz = lexFrac0 yyz;
;
readExp (e : s) = readExp2 (e : s);
readExp s = readExp0 s;
;
readExp' (yxx : s) = readExp'5 (yxx : s);
readExp' (ywy : s) = readExp'3 (ywy : s);
readExp' s = readExp'1 s;
;
readExp'0 vu88 = readExp'00 vu88;
;
readExp'00 (k,t) = (`negate` k,t) : [];
readExp'00 yz = [];
;
readExp'1 s = readDec s;
;
readExp'2 True (ywy : s) = readDec s;
readExp'2 ywz yxu = readExp'1 yxu;
;
readExp'3 (ywy : s) = readExp'2 (ywy == '+') (ywy : s);
readExp'3 yxv = readExp'1 yxv;
;
readExp'4 True (yxx : s) = concatMap readExp'0 (readDec s);
readExp'4 yxy yxz = readExp'3 yxz;
;
readExp'5 (yxx : s) = readExp'4 (yxx == '-') (yxx : s);
readExp'5 yyu = readExp'3 yyu;
;
readExp0 s = (0,s) : [];
;
readExp1 e s True = readExp' s;
readExp1 e s False = readExp0 (e : s);
;
readExp2 (e : s) = readExp1 e s (e `elem` 'e' : 'E' : []);
readExp2 yww = readExp0 yww;
;
readFix r = concatMap readFix1 (lexDigits r);
;
readFix0 ds vu86 = readFix00 ds vu86;
;
readFix00 ds (ds',t) = (read (ds ++ ds'),length ds',t) : [];
readFix00 ds zu = [];
;
readFix1 vu87 = readFix10 vu87;
;
readFix10 (ds,d) = concatMap (readFix0 ds) (lexFrac d);
readFix10 zv = [];
;
readFloat0 n d vu82 = readFloat00 n d vu82;
;
readFloat00 n d (k,t) = (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
readFloat00 n d zw = [];
;
readFloat1 vu83 = readFloat10 vu83;
;
readFloat10 (n,d,s) = concatMap (readFloat0 n d) (readExp s);
readFloat10 zy = [];
;
readFloat2 vu84 = readFloat20 vu84;
;
readFloat20 (yzw : zuz,t) = readFloat204 (yzw : zuz,t);
readFloat20 zx = readFloat200 zx;
;
readFloat200 zx = [];
;
readFloat201 True (yzw : yzy : zuu : [],t) = (0 / 0,t) : [];
readFloat201 zvu zvv = readFloat200 zvv;
;
readFloat202 True (yzw : yzy : zuu : zuv,t) = readFloat201 (zuu == 'N') (yzw : yzy : zuu : zuv,t);
readFloat202 zvw zvx = readFloat200 zvx;
;
readFloat203 True (yzw : yzy : zux,t) = readFloat202 (yzy == 'a') (yzw : yzy : zux,t);
readFloat203 zvy zvz = readFloat200 zvz;
;
readFloat204 (yzw : zuz,t) = readFloat203 (yzw == 'N') (yzw : zuz,t);
readFloat204 zwu = readFloat200 zwu;
;
readFloat3 vu85 = readFloat30 vu85;
;
readFloat30 (zwx : vuvw,t) = readFloat309 (zwx : vuvw,t);
readFloat30 zz = readFloat300 zz;
;
readFloat300 zz = [];
;
readFloat301 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : [],t) = (1 / 0,t) : [];
readFloat301 vuvx vuvy = readFloat300 vuvy;
;
readFloat302 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t) = readFloat301 (zyz == 'y') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t);
readFloat302 vuvz vuwu = readFloat300 vuwu;
;
readFloat303 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t) = readFloat302 (zyx == 't') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t);
readFloat303 vuwv vuww = readFloat300 vuww;
;
readFloat304 True (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t) = readFloat303 (zyv == 'i') (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t);
readFloat304 vuwx vuwy = readFloat300 vuwy;
;
readFloat305 True (zwx : zwz : zxv : zxx : zxz : vuuu,t) = readFloat304 (zxz == 'n') (zwx : zwz : zxv : zxx : zxz : vuuu,t);
readFloat305 vuwz vuxu = readFloat300 vuxu;
;
readFloat306 True (zwx : zwz : zxv : zxx : vuuw,t) = readFloat305 (zxx == 'i') (zwx : zwz : zxv : zxx : vuuw,t);
readFloat306 vuxv vuxw = readFloat300 vuxw;
;
readFloat307 True (zwx : zwz : zxv : vuuy,t) = readFloat306 (zxv == 'f') (zwx : zwz : zxv : vuuy,t);
readFloat307 vuxx vuxy = readFloat300 vuxy;
;
readFloat308 True (zwx : zwz : vuvu,t) = readFloat307 (zwz == 'n') (zwx : zwz : vuvu,t);
readFloat308 vuxz vuyu = readFloat300 vuyu;
;
readFloat309 (zwx : vuvw,t) = readFloat308 (zwx == 'I') (zwx : vuvw,t);
readFloat309 vuyv = readFloat300 vuyv;
} 
"
are unpacked to the following functions on top level
"readFloatReadFloat30 (zwx : vuvw,t) = readFloatReadFloat309 (zwx : vuvw,t);
readFloatReadFloat30 zz = readFloatReadFloat300 zz;
"
"readFloatReadFloat200 zx = [];
"
"readFloatReadFloat2 vu84 = readFloatReadFloat20 vu84;
"
"readFloatReadFloat309 (zwx : vuvw,t) = readFloatReadFloat308 (zwx == 'I') (zwx : vuvw,t);
readFloatReadFloat309 vuyv = readFloatReadFloat300 vuyv;
"
"readFloatReadFloat301 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : [],t) = (1 / 0,t) : [];
readFloatReadFloat301 vuvx vuvy = readFloatReadFloat300 vuvy;
"
"readFloatReadFix10 (ds,d) = concatMap (readFloatReadFix0 ds) (readFloatLexFrac d);
readFloatReadFix10 zv = [];
"
"readFloatReadFloat20 (yzw : zuz,t) = readFloatReadFloat204 (yzw : zuz,t);
readFloatReadFloat20 zx = readFloatReadFloat200 zx;
"
"readFloatReadFloat201 True (yzw : yzy : zuu : [],t) = (0 / 0,t) : [];
readFloatReadFloat201 zvu zvv = readFloatReadFloat200 zvv;
"
"readFloatReadExp'1 s = readDec s;
"
"readFloatReadExp'0 vu88 = readFloatReadExp'00 vu88;
"
"readFloatReadFloat306 True (zwx : zwz : zxv : zxx : vuuw,t) = readFloatReadFloat305 (zxx == 'i') (zwx : zwz : zxv : zxx : vuuw,t);
readFloatReadFloat306 vuxv vuxw = readFloatReadFloat300 vuxw;
"
"readFloatReadFloat304 True (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t) = readFloatReadFloat303 (zyv == 'i') (zwx : zwz : zxv : zxx : zxz : zyv : zzy,t);
readFloatReadFloat304 vuwx vuwy = readFloatReadFloat300 vuwy;
"
"readFloatReadExp'3 (ywy : s) = readFloatReadExp'2 (ywy == '+') (ywy : s);
readFloatReadExp'3 yxv = readFloatReadExp'1 yxv;
"
"readFloatReadFloat203 True (yzw : yzy : zux,t) = readFloatReadFloat202 (yzy == 'a') (yzw : yzy : zux,t);
readFloatReadFloat203 zvy zvz = readFloatReadFloat200 zvz;
"
"readFloatReadFloat300 zz = [];
"
"readFloatReadExp (e : s) = readFloatReadExp2 (e : s);
readFloatReadExp s = readFloatReadExp0 s;
"
"readFloatReadFloat10 (n,d,s) = concatMap (readFloatReadFloat0 n d) (readFloatReadExp s);
readFloatReadFloat10 zy = [];
"
"readFloatReadFix00 ds (ds',t) = (read (ds ++ ds'),length ds',t) : [];
readFloatReadFix00 ds zu = [];
"
"readFloatReadFloat3 vu85 = readFloatReadFloat30 vu85;
"
"readFloatReadFloat00 n d (k,t) = (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
readFloatReadFloat00 n d zw = [];
"
"readFloatReadFloat202 True (yzw : yzy : zuu : zuv,t) = readFloatReadFloat201 (zuu == 'N') (yzw : yzy : zuu : zuv,t);
readFloatReadFloat202 zvw zvx = readFloatReadFloat200 zvx;
"
"readFloatLexFrac0 s = ([],s) : [];
"
"readFloatLexFrac1 True (yyw : s) = lexDigits s;
readFloatLexFrac1 yyx yyy = readFloatLexFrac0 yyy;
"
"readFloatReadExp'5 (yxx : s) = readFloatReadExp'4 (yxx == '-') (yxx : s);
readFloatReadExp'5 yyu = readFloatReadExp'3 yyu;
"
"readFloatReadFloat302 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t) = readFloatReadFloat301 (zyz == 'y') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zyz : zzu,t);
readFloatReadFloat302 vuvz vuwu = readFloatReadFloat300 vuwu;
"
"readFloatReadFloat1 vu83 = readFloatReadFloat10 vu83;
"
"readFloatLexFrac (yyw : s) = readFloatLexFrac2 (yyw : s);
readFloatLexFrac s = readFloatLexFrac0 s;
"
"readFloatReadExp'4 True (yxx : s) = concatMap readFloatReadExp'0 (readDec s);
readFloatReadExp'4 yxy yxz = readFloatReadExp'3 yxz;
"
"readFloatReadFix r = concatMap readFloatReadFix1 (lexDigits r);
"
"readFloatReadFloat308 True (zwx : zwz : vuvu,t) = readFloatReadFloat307 (zwz == 'n') (zwx : zwz : vuvu,t);
readFloatReadFloat308 vuxz vuyu = readFloatReadFloat300 vuyu;
"
"readFloatReadFloat204 (yzw : zuz,t) = readFloatReadFloat203 (yzw == 'N') (yzw : zuz,t);
readFloatReadFloat204 zwu = readFloatReadFloat200 zwu;
"
"readFloatReadExp'00 (k,t) = (`negate` k,t) : [];
readFloatReadExp'00 yz = [];
"
"readFloatLexFrac2 (yyw : s) = readFloatLexFrac1 (yyw == '.') (yyw : s);
readFloatLexFrac2 yyz = readFloatLexFrac0 yyz;
"
"readFloatReadExp1 e s True = readFloatReadExp' s;
readFloatReadExp1 e s False = readFloatReadExp0 (e : s);
"
"readFloatReadFix1 vu87 = readFloatReadFix10 vu87;
"
"readFloatReadExp'2 True (ywy : s) = readDec s;
readFloatReadExp'2 ywz yxu = readFloatReadExp'1 yxu;
"
"readFloatReadFloat305 True (zwx : zwz : zxv : zxx : zxz : vuuu,t) = readFloatReadFloat304 (zxz == 'n') (zwx : zwz : zxv : zxx : zxz : vuuu,t);
readFloatReadFloat305 vuwz vuxu = readFloatReadFloat300 vuxu;
"
"readFloatReadExp0 s = (0,s) : [];
"
"readFloatReadExp2 (e : s) = readFloatReadExp1 e s (e `elem` 'e' : 'E' : []);
readFloatReadExp2 yww = readFloatReadExp0 yww;
"
"readFloatReadFloat0 n d vu82 = readFloatReadFloat00 n d vu82;
"
"readFloatReadExp' (yxx : s) = readFloatReadExp'5 (yxx : s);
readFloatReadExp' (ywy : s) = readFloatReadExp'3 (ywy : s);
readFloatReadExp' s = readFloatReadExp'1 s;
"
"readFloatReadFloat303 True (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t) = readFloatReadFloat302 (zyx == 't') (zwx : zwz : zxv : zxx : zxz : zyv : zyx : zzw,t);
readFloatReadFloat303 vuwv vuww = readFloatReadFloat300 vuww;
"
"readFloatReadFix0 ds vu86 = readFloatReadFix00 ds vu86;
"
"readFloatReadFloat307 True (zwx : zwz : zxv : vuuy,t) = readFloatReadFloat306 (zxv == 'f') (zwx : zwz : zxv : vuuy,t);
readFloatReadFloat307 vuxx vuxy = readFloatReadFloat300 vuxy;
"
The bindings of the following Let/Where expression
"pr1 x n (n > 0) where {
f vuu vuyw y = f4 vuu vuyw y;
f x n y = f0 x n y;
;
f0 x n y = g x n where {
g x n = g2 x n;
;
g0 x n True = f x (n - 1) (x * y);
;
g1 x n True = g (x * x) (n `quot` 2);
g1 x n False = g0 x n otherwise;
;
g2 x n = g1 x n (even n);
} 
;
;
f3 True vuu vuyw y = y;
f3 vuyx vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
;
f4 vuu vuyw y = f3 (vuyw == 0) vuu vuyw y;
f4 vuzv vuzw vuzx = f0 vuzv vuzw vuzx;
;
pr1 x n True = f x (n - 1) x;
pr1 x n False = pr0 x n;
} 
"
are unpacked to the following functions on top level
"pr2F3 True vuu vuyw y = y;
pr2F3 vuyx vuyy vuyz vuzu = pr2F0 vuyy vuyz vuzu;
"
"pr2F0 x n y = pr2F0G y x n;
"
"pr2F4 vuu vuyw y = pr2F3 (vuyw == 0) vuu vuyw y;
pr2F4 vuzv vuzw vuzx = pr2F0 vuzv vuzw vuzx;
"
"pr2F vuu vuyw y = pr2F4 vuu vuyw y;
pr2F x n y = pr2F0 x n y;
"
"pr2Pr1 x n True = pr2F x (n - 1) x;
pr2Pr1 x n False = pr0 x n;
"
The bindings of the following Let/Where expression
"concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 vz = [];
;
lexStrItem (xvx : xwv) = lexStrItem7 (xvx : xwv);
lexStrItem (xuv : xuy) = lexStrItem4 (xuv : xuy);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (xxw : t) = lexStrItem002 (xxw : t);
lexStrItem00 vy = lexStrItem000 vy;
;
lexStrItem000 vy = [];
;
lexStrItem001 True (xxw : t) = ([],t) : [];
lexStrItem001 xxx xxy = lexStrItem000 xxy;
;
lexStrItem002 (xxw : t) = lexStrItem001 (xxw == '\') (xxw : t);
lexStrItem002 xxz = lexStrItem000 xxz;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 xuv c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 xuv c s False = lexStrItem1 (xuv : c : s);
;
lexStrItem3 True (xuv : c : s) = lexStrItem2 xuv c s (isSpace c);
lexStrItem3 xuz xvu = lexStrItem1 xvu;
;
lexStrItem4 (xuv : xuy) = lexStrItem3 (xuv == '\') (xuv : xuy);
lexStrItem4 xvv = lexStrItem1 xvv;
;
lexStrItem5 True (xvx : xvz : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xww xwx = lexStrItem4 xwx;
;
lexStrItem6 True (xvx : xvz : s) = lexStrItem5 (xvz == '&') (xvx : xvz : s);
lexStrItem6 xwy xwz = lexStrItem4 xwz;
;
lexStrItem7 (xvx : xwv) = lexStrItem6 (xvx == '\') (xvx : xwv);
lexStrItem7 xxu = lexStrItem4 xxu;
;
lexString (wzw : s) = lexString4 (wzw : s);
lexString s = lexString2 s;
;
lexString0 ch vu56 = lexString00 ch vu56;
;
lexString00 ch (str,u) = (ch ++ str,u) : [];
lexString00 ch vw = [];
;
lexString1 vu57 = lexString10 vu57;
;
lexString10 (ch,t) = concatMap (lexString0 ch) (lexString t);
lexString10 vx = [];
;
lexString2 s = concatMap lexString1 (lexStrItem s);
;
lexString3 True (wzw : s) = ('"' : [],s) : [];
lexString3 wzx wzy = lexString2 wzy;
;
lexString4 (wzw : s) = lexString3 (wzw == '"') (wzw : s);
lexString4 wzz = lexString2 wzz;
} 
"
are unpacked to the following functions on top level
"lex13LexString10 (ch,t) = concatMap (lex13LexString0 ch) (lex13LexString t);
lex13LexString10 vx = [];
"
"lex13LexStrItem002 (xxw : t) = lex13LexStrItem001 (xxw == '\') (xxw : t);
lex13LexStrItem002 xxz = lex13LexStrItem000 xxz;
"
"lex13Lex1 vu55 = lex13Lex10 vu55;
"
"lex13LexStrItem2 xuv c s True = concatMap lex13LexStrItem0 (dropWhile isSpace s : []);
lex13LexStrItem2 xuv c s False = lex13LexStrItem1 (xuv : c : s);
"
"lex13LexString2 s = concatMap lex13LexString1 (lex13LexStrItem s);
"
"lex13LexStrItem (xvx : xwv) = lex13LexStrItem7 (xvx : xwv);
lex13LexStrItem (xuv : xuy) = lex13LexStrItem4 (xuv : xuy);
lex13LexStrItem s = lex13LexStrItem1 s;
"
"lex13LexString4 (wzw : s) = lex13LexString3 (wzw == '"') (wzw : s);
lex13LexString4 wzz = lex13LexString2 wzz;
"
"lex13LexStrItem0 vu58 = lex13LexStrItem00 vu58;
"
"lex13LexStrItem3 True (xuv : c : s) = lex13LexStrItem2 xuv c s (isSpace c);
lex13LexStrItem3 xuz xvu = lex13LexStrItem1 xvu;
"
"lex13LexStrItem6 True (xvx : xvz : s) = lex13LexStrItem5 (xvz == '&') (xvx : xvz : s);
lex13LexStrItem6 xwy xwz = lex13LexStrItem4 xwz;
"
"lex13LexString (wzw : s) = lex13LexString4 (wzw : s);
lex13LexString s = lex13LexString2 s;
"
"lex13LexStrItem4 (xuv : xuy) = lex13LexStrItem3 (xuv == '\') (xuv : xuy);
lex13LexStrItem4 xvv = lex13LexStrItem1 xvv;
"
"lex13LexString3 True (wzw : s) = ('"' : [],s) : [];
lex13LexString3 wzx wzy = lex13LexString2 wzy;
"
"lex13LexString1 vu57 = lex13LexString10 vu57;
"
"lex13LexStrItem7 (xvx : xwv) = lex13LexStrItem6 (xvx == '\') (xvx : xwv);
lex13LexStrItem7 xxu = lex13LexStrItem4 xxu;
"
"lex13Lex10 (str,t) = ('"' : str,t) : [];
lex13Lex10 vz = [];
"
"lex13LexStrItem1 s = lexLitChar s;
"
"lex13LexStrItem00 (xxw : t) = lex13LexStrItem002 (xxw : t);
lex13LexStrItem00 vy = lex13LexStrItem000 vy;
"
"lex13LexString00 ch (str,u) = (ch ++ str,u) : [];
lex13LexString00 ch vw = [];
"
"lex13LexStrItem000 vy = [];
"
"lex13LexStrItem5 True (xvx : xvz : s) = ('\' : '&' : [],s) : [];
lex13LexStrItem5 xww xwx = lex13LexStrItem4 xwx;
"
"lex13LexStrItem001 True (xxw : t) = ([],t) : [];
lex13LexStrItem001 xxx xxy = lex13LexStrItem000 xxy;
"
"lex13LexString0 ch vu56 = lex13LexString00 ch vu56;
"
The bindings of the following Let/Where expression
"span1 p vvw vvx (p vvw) where {
span0 p vvw vvx True = ([],vvw : vvx);
;
span1 p vvw vvx True = (vvw : ys,zs);
span1 p vvw vvx False = span0 p vvw vvx otherwise;
;
vu43  = span p vvx;
;
ys  = ys0 vu43;
;
ys0 (ys,vvz) = ys;
;
zs  = zs0 vu43;
;
zs0 (vvy,zs) = zs;
} 
"
are unpacked to the following functions on top level
"span2Vu43 vxuw vxux = span vxuw vxux;
"
"span2Ys vxuw vxux = span2Ys0 vxuw vxux (span2Vu43 vxuw vxux);
"
"span2Ys0 vxuw vxux (ys,vvz) = ys;
"
"span2Zs vxuw vxux = span2Zs0 vxuw vxux (span2Vu43 vxuw vxux);
"
"span2Span1 vxuw vxux p vvw vvx True = (vvw : span2Ys vxuw vxux,span2Zs vxuw vxux);
span2Span1 vxuw vxux p vvw vvx False = span2Span0 vxuw vxux p vvw vvx otherwise;
"
"span2Zs0 vxuw vxux (vvy,zs) = zs;
"
"span2Span0 vxuw vxux p vvw vvx True = ([],vvw : vvx);
"
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 xv = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c xw = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds wz = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c xu = [];
;
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 wu = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e ww = [];
;
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 wv = [];
;
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 xyv = lexExp3 xyv;
;
lexFracExp (xyx : xzu) = lexFracExp5 (xyx : xzu);
lexFracExp s = lexFracExp2 s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds wy = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 wx = [];
;
lexFracExp2 s = lexExp s;
;
lexFracExp3 xyx c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyx c cs False = lexFracExp2 (xyx : c : cs);
;
lexFracExp4 True (xyx : c : cs) = lexFracExp3 xyx c cs (isDigit c);
lexFracExp4 xzv xzw = lexFracExp2 xzw;
;
lexFracExp5 (xyx : xzu) = lexFracExp4 (xyx == '.') (xyx : xzu);
lexFracExp5 xzx = lexFracExp2 xzx;
} 
"
are unpacked to the following functions on top level
"lex12LexExp2 e vu67 = lex12LexExp20 e vu67;
"
"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);
"
"lex12Lex9 c s True = concatMap (lex12Lex2 c) (span lex12IsSym s : []);
lex12Lex9 c s False = lex12Lex8 c s (isAlpha c);
"
"lex12LexFracExp3 xyx c cs True = concatMap lex12LexFracExp1 (lexDigits (c : cs));
lex12LexFracExp3 xyx c cs False = lex12LexFracExp2 (xyx : c : cs);
"
"lex12Lex6 c s True = [];
"
"lex12LexExp00 e c (ds,u) = (e : c : ds,u) : [];
lex12LexExp00 e c wu = [];
"
"lex12Lex20 c (sym,t) = (c : sym,t) : [];
lex12Lex20 c xv = [];
"
"lex12LexFracExp10 (ds,t) = concatMap (lex12LexFracExp0 ds) (lex12LexExp t);
lex12LexFracExp10 wx = [];
"
"lex12LexFracExp5 (xyx : xzu) = lex12LexFracExp4 (xyx == '.') (xyx : xzu);
lex12LexFracExp5 xzx = lex12LexFracExp2 xzx;
"
"lex12LexFracExp1 vu64 = lex12LexFracExp10 vu64;
"
"lex12Lex50 c (ds,s) = concatMap (lex12Lex4 c ds) (lex12LexFracExp s);
lex12Lex50 c xu = [];
"
"lex12LexExp1 e vu66 = lex12LexExp10 e vu66;
"
"lex12LexFracExp4 True (xyx : c : cs) = lex12LexFracExp3 xyx c cs (isDigit c);
lex12LexFracExp4 xzv xzw = lex12LexFracExp2 xzw;
"
"lex12IsSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
"
"lex12Lex4 c ds vu61 = lex12Lex40 c ds vu61;
"
"lex12Lex30 c (nam,t) = (c : nam,t) : [];
lex12Lex30 c xw = [];
"
"lex12Lex3 c vu60 = lex12Lex30 c vu60;
"
"lex12LexFracExp0 ds vu63 = lex12LexFracExp00 ds vu63;
"
"lex12LexFracExp (xyx : xzu) = lex12LexFracExp5 (xyx : xzu);
lex12LexFracExp s = lex12LexFracExp2 s;
"
"lex12Lex2 c vu59 = lex12Lex20 c vu59;
"
"lex12LexExp3 s = ([],s) : [];
"
"lex12Lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex12Lex40 c ds wz = [];
"
"lex12LexExp (e : s) = lex12LexExp5 (e : s);
lex12LexExp s = lex12LexExp3 s;
"
"lex12LexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lex12LexFracExp00 ds wy = [];
"
"lex12IsSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
"
"lex12LexExp100 e c t True = concatMap (lex12LexExp0 e c) (lexDigits t);
lex12LexExp100 e c t False = [];
"
"lex12LexExp20 e (ds,t) = (e : ds,t) : [];
lex12LexExp20 e wv = [];
"
"lex12LexExp0 e c vu65 = lex12LexExp00 e c vu65;
"
"lex12Lex5 c vu62 = lex12Lex50 c vu62;
"
"lex12LexExp5 (e : s) = lex12LexExp4 e s (e `elem` 'e' : 'E' : []);
lex12LexExp5 xyv = lex12LexExp3 xyv;
"
"lex12LexFracExp2 s = lex12LexExp s;
"
"lex12Lex7 c s True = concatMap (lex12Lex5 c) (span isDigit s : []);
lex12Lex7 c s False = lex12Lex6 c s otherwise;
"
"lex12IsIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
"
"lex12Lex11 c s True = (c : [],s) : [];
lex12Lex11 c s False = lex12Lex9 c s (lex12IsSym c);
"
"lex12LexExp10 e (c : t) = lex12LexExp100 e c t (c `elem` '+' : '-' : []);
lex12LexExp10 e ww = [];
"
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 (vvzx : vvzy,u) = mandatory002 x (vvzx : vvzy,u);
mandatory00 x vyv = mandatory000 x vyv;
;
mandatory000 x vyv = [];
;
mandatory001 True x (vvzx : [],u) = (x,u) : [];
mandatory001 vvzz vwuu vwuv = mandatory000 vwuu vwuv;
;
mandatory002 x (vvzx : vvzy,u) = mandatory001 (vvzx == ')') x (vvzx : vvzy,u);
mandatory002 vwuw vwux = mandatory000 vwuw vwux;
;
mandatory1 vu49 = mandatory10 vu49;
;
mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 vyw = [];
;
mandatory2 vu50 = mandatory20 vu50;
;
mandatory20 (vvyw : vvyx,s) = mandatory202 (vvyw : vvyx,s);
mandatory20 vyu = mandatory200 vyu;
;
mandatory200 vyu = [];
;
mandatory201 True (vvyw : [],s) = concatMap mandatory1 (optional s);
mandatory201 vvyy vvyz = mandatory200 vvyz;
;
mandatory202 (vvyw : vvyx,s) = mandatory201 (vvyw == '(') (vvyw : vvyx,s);
mandatory202 vvzu = mandatory200 vvzu;
;
optional r = g r ++ mandatory r;
;
readParen0 True = mandatory;
readParen0 False = optional;
} 
"
are unpacked to the following functions on top level
"readParenMandatory00 vxuy x (vvzx : vvzy,u) = readParenMandatory002 vxuy x (vvzx : vvzy,u);
readParenMandatory00 vxuy x vyv = readParenMandatory000 vxuy x vyv;
"
"readParenMandatory2 vxuy vu50 = readParenMandatory20 vxuy vu50;
"
"readParenMandatory vxuy r = concatMap (readParenMandatory2 vxuy) (lex r);
"
"readParenMandatory10 vxuy (x,t) = concatMap (readParenMandatory0 vxuy x) (lex t);
readParenMandatory10 vxuy vyw = [];
"
"readParenReadParen0 vxuy True = readParenMandatory vxuy;
readParenReadParen0 vxuy False = readParenOptional vxuy;
"
"readParenMandatory202 vxuy (vvyw : vvyx,s) = readParenMandatory201 vxuy (vvyw == '(') (vvyw : vvyx,s);
readParenMandatory202 vxuy vvzu = readParenMandatory200 vxuy vvzu;
"
"readParenMandatory000 vxuy x vyv = [];
"
"readParenMandatory1 vxuy vu49 = readParenMandatory10 vxuy vu49;
"
"readParenMandatory002 vxuy x (vvzx : vvzy,u) = readParenMandatory001 vxuy (vvzx == ')') x (vvzx : vvzy,u);
readParenMandatory002 vxuy vwuw vwux = readParenMandatory000 vxuy vwuw vwux;
"
"readParenMandatory001 vxuy True x (vvzx : [],u) = (x,u) : [];
readParenMandatory001 vxuy vvzz vwuu vwuv = readParenMandatory000 vxuy vwuu vwuv;
"
"readParenMandatory0 vxuy x vu48 = readParenMandatory00 vxuy x vu48;
"
"readParenMandatory201 vxuy True (vvyw : [],s) = concatMap (readParenMandatory1 vxuy) (readParenOptional vxuy s);
readParenMandatory201 vxuy vvyy vvyz = readParenMandatory200 vxuy vvyz;
"
"readParenMandatory200 vxuy vyu = [];
"
"readParenMandatory20 vxuy (vvyw : vvyx,s) = readParenMandatory202 vxuy (vvyw : vvyx,s);
readParenMandatory20 vxuy vyu = readParenMandatory200 vxuy vyu;
"
"readParenOptional vxuy r = vxuy r ++ readParenMandatory vxuy r;
"
The bindings of the following Let/Where expression
"readParen False read' where {
read' r = read'' r ++ concatMap read'1 (lex r);
;
read'' r = concatMap (read''1 readPos) (lex r);
;
read''0 s vu80 = read''00 s vu80;
;
read''00 s (n,[]) = (n,s) : [];
read''00 s vyy = [];
;
read''1 readPos vu81 = read''10 readPos vu81;
;
read''10 readPos (str,s) = concatMap (read''0 s) (readPos str);
read''10 readPos vyx = [];
;
read'0 vu78 = read'00 vu78;
;
read'00 (x,t) = (`negate` x,t) : [];
read'00 vzu = [];
;
read'1 vu79 = read'10 vu79;
;
read'10 (vwvu : vwvv,s) = read'102 (vwvu : vwvv,s);
read'10 vyz = read'100 vyz;
;
read'100 vyz = [];
;
read'101 True (vwvu : [],s) = concatMap read'0 (read'' s);
read'101 vwvw vwvx = read'100 vwvx;
;
read'102 (vwvu : vwvv,s) = read'101 (vwvu == '-') (vwvu : vwvv,s);
read'102 vwvy = read'100 vwvy;
} 
"
are unpacked to the following functions on top level
"readSignedRead'0 vxuz vu78 = readSignedRead'00 vxuz vu78;
"
"readSignedRead' vxuz r = readSignedRead'' vxuz r ++ concatMap (readSignedRead'1 vxuz) (lex r);
"
"readSignedRead'1 vxuz vu79 = readSignedRead'10 vxuz vu79;
"
"readSignedRead''00 vxuz s (n,[]) = (n,s) : [];
readSignedRead''00 vxuz s vyy = [];
"
"readSignedRead''10 vxuz readPos (str,s) = concatMap (readSignedRead''0 vxuz s) (readPos str);
readSignedRead''10 vxuz readPos vyx = [];
"
"readSignedRead'' vxuz r = concatMap (readSignedRead''1 vxuz vxuz) (lex r);
"
"readSignedRead'101 vxuz True (vwvu : [],s) = concatMap (readSignedRead'0 vxuz) (readSignedRead'' vxuz s);
readSignedRead'101 vxuz vwvw vwvx = readSignedRead'100 vxuz vwvx;
"
"readSignedRead'10 vxuz (vwvu : vwvv,s) = readSignedRead'102 vxuz (vwvu : vwvv,s);
readSignedRead'10 vxuz vyz = readSignedRead'100 vxuz vyz;
"
"readSignedRead'102 vxuz (vwvu : vwvv,s) = readSignedRead'101 vxuz (vwvu == '-') (vwvu : vwvv,s);
readSignedRead'102 vxuz vwvy = readSignedRead'100 vxuz vwvy;
"
"readSignedRead'00 vxuz (x,t) = (`negate` x,t) : [];
readSignedRead'00 vxuz vzu = [];
"
"readSignedRead'100 vxuz vyz = [];
"
"readSignedRead''0 vxuz s vu80 = readSignedRead''00 vxuz s vu80;
"
"readSignedRead''1 vxuz readPos vu81 = readSignedRead''10 vxuz readPos vu81;
"
The bindings of the following Let/Where expression
"g x n where {
g x n = g2 x n;
;
g0 x n True = f x (n - 1) (x * y);
;
g1 x n True = g (x * x) (n `quot` 2);
g1 x n False = g0 x n otherwise;
;
g2 x n = g1 x n (even n);
} 
"
are unpacked to the following functions on top level
"pr2F0G vxvu x n = pr2F0G2 vxvu x n;
"
"pr2F0G2 vxvu x n = pr2F0G1 vxvu x n (even n);
"
"pr2F0G1 vxvu x n True = pr2F0G vxvu (x * x) (n `quot` 2);
pr2F0G1 vxvu x n False = pr2F0G0 vxvu x n otherwise;
"
"pr2F0G0 vxvu x n True = pr2F x (n - 1) (x * vxvu);
"

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

(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;
}