/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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty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, 5 ms]
(6) HASKELL
(7) BR [EQUIVALENT, 23 ms]
(8) HASKELL
(9) COR [EQUIVALENT, 0 ms]
(10) HASKELL
(11) LetRed [EQUIVALENT, 26 ms]
(12) HASKELL
(13) NumRed [SOUND, 52 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
"\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
"\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
"\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 : []);
_  -> []}
;
"
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 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 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@(vvy : vvz)"
is replaced by the following term
"vvy : vvz"
The bind variable of the following binding Pattern
"xs@(vww : vwx)"
is replaced by the following term
"vww : vwx"
The bind variable of the following binding Pattern
"cs@(vxw : vxx)"
is replaced by the following term
"vxw : vxx"
The bind variable of the following binding Pattern
"s@(wuw : wux)"
is replaced by the following term
"wuw : wux"

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

(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);
"
"takeWhile0 p x xs True = [];
"
"takeWhile1 p x xs True = x : takeWhile p xs;
takeWhile1 p x xs False = takeWhile0 p x xs otherwise;
"
"takeWhile2 p (x : xs) = takeWhile1 p x xs (p x);
"
"takeWhile3 p [] = [];
takeWhile3 wvy wvz = takeWhile2 wvy wvz;
"
The following Function with conditions
"gcd' x 0 = x;
gcd' x y = gcd' y (x `rem` y);
"
is transformed to
"gcd' x wwu = gcd'2 x wwu;
gcd' x y = gcd'0 x y;
"
"gcd'0 x y = gcd' y (x `rem` y);
"
"gcd'1 True x wwu = x;
gcd'1 wwv www wwx = gcd'0 www wwx;
"
"gcd'2 x wwu = gcd'1 (wwu == 0) x wwu;
gcd'2 wwy wwz = gcd'0 wwy wwz;
"
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 wxu wxv = gcd3 wxu wxv;
gcd x y = gcd0 x y;
"
"gcd0 x y = gcd' (abs x) (abs y) where {
gcd' x wwu = gcd'2 x wwu;
gcd' x y = gcd'0 x y;
;
gcd'0 x y = gcd' y (x `rem` y);
;
gcd'1 True x wwu = x;
gcd'1 wwv www wwx = gcd'0 www wwx;
;
gcd'2 x wwu = gcd'1 (wwu == 0) x wwu;
gcd'2 wwy wwz = gcd'0 wwy wwz;
} 
;
"
"gcd1 True wxu wxv = error [];
gcd1 wxw wxx wxy = gcd0 wxx wxy;
"
"gcd2 True wxu wxv = gcd1 (wxv == 0) wxu wxv;
gcd2 wxz wyu wyv = gcd0 wyu wyv;
"
"gcd3 wxu wxv = gcd2 (wxu == 0) wxu wxv;
gcd3 wyw wyx = gcd0 wyw wyx;
"
The following Function with conditions
"lexString ('"' : s) = ('"' : [],s) : [];
lexString s = concatMap lexString1 (lexStrItem s);
"
is transformed to
"lexString (wyz : s) = lexString4 (wyz : s);
lexString s = lexString2 s;
"
"lexString2 s = concatMap lexString1 (lexStrItem s);
"
"lexString3 True (wyz : s) = ('"' : [],s) : [];
lexString3 wzu wzv = lexString2 wzv;
"
"lexString4 (wyz : s) = lexString3 (wyz == '"') (wyz : s);
lexString4 wzw = lexString2 wzw;
"
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 (xvu : xvy) = lexStrItem7 (xvu : xvy);
lexStrItem (wzy : xuv) = lexStrItem4 (wzy : xuv);
lexStrItem s = lexStrItem1 s;
"
"lexStrItem1 s = lexLitChar s;
"
"lexStrItem2 wzy c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wzy c s False = lexStrItem1 (wzy : c : s);
"
"lexStrItem3 True (wzy : c : s) = lexStrItem2 wzy c s (isSpace c);
lexStrItem3 xuw xux = lexStrItem1 xux;
"
"lexStrItem4 (wzy : xuv) = lexStrItem3 (wzy == '\') (wzy : xuv);
lexStrItem4 xuy = lexStrItem1 xuy;
"
"lexStrItem5 True (xvu : xvw : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xvz xwu = lexStrItem4 xwu;
"
"lexStrItem6 True (xvu : xvw : s) = lexStrItem5 (xvw == '&') (xvu : xvw : s);
lexStrItem6 xwv xww = lexStrItem4 xww;
"
"lexStrItem7 (xvu : xvy) = lexStrItem6 (xvu == '\') (xvu : xvy);
lexStrItem7 xwx = lexStrItem4 xwx;
"
The following Function with conditions
"lexStrItem00 ('\' : t) = ([],t) : [];
lexStrItem00 xu = [];
"
is transformed to
"lexStrItem00 (xwz : t) = lexStrItem002 (xwz : t);
lexStrItem00 xu = lexStrItem000 xu;
"
"lexStrItem000 xu = [];
"
"lexStrItem001 True (xwz : t) = ([],t) : [];
lexStrItem001 xxu xxv = lexStrItem000 xxv;
"
"lexStrItem002 (xwz : t) = lexStrItem001 (xwz == '\') (xwz : t);
lexStrItem002 xxw = lexStrItem000 xxw;
"
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 xxy = lexExp3 xxy;
"
The following Function with conditions
"lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
"
is transformed to
"lexFracExp (xyu : xyx) = lexFracExp5 (xyu : xyx);
lexFracExp s = lexFracExp2 s;
"
"lexFracExp2 s = lexExp s;
"
"lexFracExp3 xyu c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyu c cs False = lexFracExp2 (xyu : c : cs);
"
"lexFracExp4 True (xyu : c : cs) = lexFracExp3 xyu c cs (isDigit c);
lexFracExp4 xyy xyz = lexFracExp2 xyz;
"
"lexFracExp5 (xyu : xyx) = lexFracExp4 (xyu == '.') (xyu : xyx);
lexFracExp5 xzu = lexFracExp2 xzu;
"
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` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
lex2 c vu59 = lex20 c vu59;
;
lex20 c (sym,t) = (c : sym,t) : [];
lex20 c yx = [];
;
lex3 c vu60 = lex30 c vu60;
;
lex30 c (nam,t) = (c : nam,t) : [];
lex30 c yy = [];
;
lex4 c ds vu61 = lex40 c ds vu61;
;
lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex40 c ds yv = [];
;
lex5 c vu62 = lex50 c vu62;
;
lex50 c (ds,s) = concatMap (lex4 c ds) (lexFracExp s);
lex50 c yw = [];
;
lexExp (e : s)|e `elem` 'e' : 'E' : []concatMap (lexExp1 e) (s : []) ++ concatMap (lexExp2 e) (lexDigits s);
lexExp s = ([],s) : [];
;
lexExp0 e c vu65 = lexExp00 e c vu65;
;
lexExp00 e c (ds,u) = (e : c : ds,u) : [];
lexExp00 e c xw = [];
;
lexExp1 e vu66 = lexExp10 e vu66;
;
lexExp10 e (c : t) = lexExp100 e c t (c `elem` '+' : '-' : []);
lexExp10 e xy = [];
;
lexExp100 e c t True = concatMap (lexExp0 e c) (lexDigits t);
lexExp100 e c t False = [];
;
lexExp2 e vu67 = lexExp20 e vu67;
;
lexExp20 e (ds,t) = (e : ds,t) : [];
lexExp20 e xx = [];
;
lexFracExp ('.' : c : cs)|isDigit cconcatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp s = lexExp s;
;
lexFracExp0 ds vu63 = lexFracExp00 ds vu63;
;
lexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lexFracExp00 ds yu = [];
;
lexFracExp1 vu64 = lexFracExp10 vu64;
;
lexFracExp10 (ds,t) = concatMap (lexFracExp0 ds) (lexExp t);
lexFracExp10 xz = [];
} 
;
"
is transformed to
"lex [] = lex19 [];
lex (c : s) = lex18 (c : s);
lex (yuw : s) = lex16 (yuw : s);
lex (xzx : s) = lex14 (xzx : s);
lex (c : s) = lex12 (c : s);
"
"lex12 (c : s) = lex11 c s (isSingle c) where {
isIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
;
isSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
;
isSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
;
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 xxy = lexExp3 xxy;
;
lexFracExp (xyu : xyx) = lexFracExp5 (xyu : xyx);
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 xyu c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyu c cs False = lexFracExp2 (xyu : c : cs);
;
lexFracExp4 True (xyu : c : cs) = lexFracExp3 xyu c cs (isDigit c);
lexFracExp4 xyy xyz = lexFracExp2 xyz;
;
lexFracExp5 (xyu : xyx) = lexFracExp4 (xyu == '.') (xyu : xyx);
lexFracExp5 xzu = lexFracExp2 xzu;
} 
;
"
"lex13 True (xzx : s) = concatMap lex1 (lexString s) where {
lex1 vu55 = lex10 vu55;
;
lex10 (str,t) = ('"' : str,t) : [];
lex10 xv = [];
;
lexStrItem (xvu : xvy) = lexStrItem7 (xvu : xvy);
lexStrItem (wzy : xuv) = lexStrItem4 (wzy : xuv);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (xwz : t) = lexStrItem002 (xwz : t);
lexStrItem00 xu = lexStrItem000 xu;
;
lexStrItem000 xu = [];
;
lexStrItem001 True (xwz : t) = ([],t) : [];
lexStrItem001 xxu xxv = lexStrItem000 xxv;
;
lexStrItem002 (xwz : t) = lexStrItem001 (xwz == '\') (xwz : t);
lexStrItem002 xxw = lexStrItem000 xxw;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 wzy c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wzy c s False = lexStrItem1 (wzy : c : s);
;
lexStrItem3 True (wzy : c : s) = lexStrItem2 wzy c s (isSpace c);
lexStrItem3 xuw xux = lexStrItem1 xux;
;
lexStrItem4 (wzy : xuv) = lexStrItem3 (wzy == '\') (wzy : xuv);
lexStrItem4 xuy = lexStrItem1 xuy;
;
lexStrItem5 True (xvu : xvw : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xvz xwu = lexStrItem4 xwu;
;
lexStrItem6 True (xvu : xvw : s) = lexStrItem5 (xvw == '&') (xvu : xvw : s);
lexStrItem6 xwv xww = lexStrItem4 xww;
;
lexStrItem7 (xvu : xvy) = lexStrItem6 (xvu == '\') (xvu : xvy);
lexStrItem7 xwx = lexStrItem4 xwx;
;
lexString (wyz : s) = lexString4 (wyz : 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 (wyz : s) = ('"' : [],s) : [];
lexString3 wzu wzv = lexString2 wzv;
;
lexString4 (wyz : s) = lexString3 (wyz == '"') (wyz : s);
lexString4 wzw = lexString2 wzw;
} 
;
lex13 xzy xzz = lex12 xzz;
"
"lex14 (xzx : s) = lex13 (xzx == '"') (xzx : s);
lex14 yuu = lex12 yuu;
"
"lex15 True (yuw : s) = concatMap lex0 (lexLitChar s);
lex15 yux yuy = lex14 yuy;
"
"lex16 (yuw : s) = lex15 (yuw == ''') (yuw : s);
lex16 yuz = lex14 yuz;
"
"lex17 c s True = lex (dropWhile isSpace s);
lex17 c s False = lex16 (c : s);
"
"lex18 (c : s) = lex17 c s (isSpace c);
lex18 yvv = lex16 yvv;
"
"lex19 [] = ([],[]) : [];
lex19 yvx = lex18 yvx;
"
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;
"
"signumReal1 x True = 1;
signumReal1 x False = signumReal0 x otherwise;
"
"signumReal2 x True = 0;
signumReal2 x False = signumReal1 x (x > 0);
"
"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 yvz = readExp0 yvz;
"
The following Function with conditions
"readExp' ('-' : s) = concatMap readExp'0 (readDec s);
readExp' ('+' : s) = readDec s;
readExp' s = readDec s;
"
is transformed to
"readExp' (yxu : s) = readExp'5 (yxu : s);
readExp' (ywv : s) = readExp'3 (ywv : s);
readExp' s = readExp'1 s;
"
"readExp'1 s = readDec s;
"
"readExp'2 True (ywv : s) = readDec s;
readExp'2 yww ywx = readExp'1 ywx;
"
"readExp'3 (ywv : s) = readExp'2 (ywv == '+') (ywv : s);
readExp'3 ywy = readExp'1 ywy;
"
"readExp'4 True (yxu : s) = concatMap readExp'0 (readDec s);
readExp'4 yxv yxw = readExp'3 yxw;
"
"readExp'5 (yxu : s) = readExp'4 (yxu == '-') (yxu : s);
readExp'5 yxx = readExp'3 yxx;
"
The following Function with conditions
"lexFrac ('.' : s) = lexDigits s;
lexFrac s = ([],s) : [];
"
is transformed to
"lexFrac (yxz : s) = lexFrac2 (yxz : s);
lexFrac s = lexFrac0 s;
"
"lexFrac0 s = ([],s) : [];
"
"lexFrac1 True (yxz : s) = lexDigits s;
lexFrac1 yyu yyv = lexFrac0 yyv;
"
"lexFrac2 (yxz : s) = lexFrac1 (yxz == '.') (yxz : s);
lexFrac2 yyw = lexFrac0 yyw;
"
The following Function with conditions
"readFloat20 ('N' : 'a' : 'N' : [],t) = (0 / 0,t) : [];
readFloat20 vuy = [];
"
is transformed to
"readFloat20 (yyz : zuw,t) = readFloat204 (yyz : zuw,t);
readFloat20 vuy = readFloat200 vuy;
"
"readFloat200 vuy = [];
"
"readFloat201 True (yyz : yzv : yzx : [],t) = (0 / 0,t) : [];
readFloat201 zux zuy = readFloat200 zuy;
"
"readFloat202 True (yyz : yzv : yzx : yzy,t) = readFloat201 (yzx == 'N') (yyz : yzv : yzx : yzy,t);
readFloat202 zuz zvu = readFloat200 zvu;
"
"readFloat203 True (yyz : yzv : zuu,t) = readFloat202 (yzv == 'a') (yyz : yzv : zuu,t);
readFloat203 zvv zvw = readFloat200 zvw;
"
"readFloat204 (yyz : zuw,t) = readFloat203 (yyz == 'N') (yyz : zuw,t);
readFloat204 zvx = readFloat200 zvx;
"
The following Function with conditions
"readFloat30 ('I' : 'n' : 'f' : 'i' : 'n' : 'i' : 't' : 'y' : [],t) = (1 / 0,t) : [];
readFloat30 vvu = [];
"
is transformed to
"readFloat30 (zwu : vuuz,t) = readFloat309 (zwu : vuuz,t);
readFloat30 vvu = readFloat300 vvu;
"
"readFloat300 vvu = [];
"
"readFloat301 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : [],t) = (1 / 0,t) : [];
readFloat301 vuvu vuvv = readFloat300 vuvv;
"
"readFloat302 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t) = readFloat301 (zyw == 'y') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t);
readFloat302 vuvw vuvx = readFloat300 vuvx;
"
"readFloat303 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t) = readFloat302 (zyu == 't') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t);
readFloat303 vuvy vuvz = readFloat300 vuvz;
"
"readFloat304 True (zwu : zww : zwy : zxu : zxw : zxy : zzv,t) = readFloat303 (zxy == 'i') (zwu : zww : zwy : zxu : zxw : zxy : zzv,t);
readFloat304 vuwu vuwv = readFloat300 vuwv;
"
"readFloat305 True (zwu : zww : zwy : zxu : zxw : zzx,t) = readFloat304 (zxw == 'n') (zwu : zww : zwy : zxu : zxw : zzx,t);
readFloat305 vuww vuwx = readFloat300 vuwx;
"
"readFloat306 True (zwu : zww : zwy : zxu : zzz,t) = readFloat305 (zxu == 'i') (zwu : zww : zwy : zxu : zzz,t);
readFloat306 vuwy vuwz = readFloat300 vuwz;
"
"readFloat307 True (zwu : zww : zwy : vuuv,t) = readFloat306 (zwy == 'f') (zwu : zww : zwy : vuuv,t);
readFloat307 vuxu vuxv = readFloat300 vuxv;
"
"readFloat308 True (zwu : zww : vuux,t) = readFloat307 (zww == 'n') (zwu : zww : vuux,t);
readFloat308 vuxw vuxx = readFloat300 vuxx;
"
"readFloat309 (zwu : vuuz,t) = readFloat308 (zwu == 'I') (zwu : vuuz,t);
readFloat309 vuxy = readFloat300 vuxy;
"
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 vvv 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 vvv vuxz y = f4 vvv vuxz 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 vvv vuxz y = y;
f3 vuyu vuyv vuyw vuyx = f0 vuyv vuyw vuyx;
"
"f4 vvv vuxz y = f3 (vuxz == 0) vvv vuxz y;
f4 vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
"
The following Function with conditions
"^ x 0 = 1;
^ x n|n > 0f x (n - 1) x where {
f vvv 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);
} 
;
} 
;
^ vvw vvx = error [];
"
is transformed to
"^ x vuzx = pr4 x vuzx;
^ x n = pr2 x n;
^ vvw vvx = pr0 vvw vvx;
"
"pr0 vvw vvx = error [];
"
"pr2 x n = pr1 x n (n > 0) where {
f vvv vuxz y = f4 vvv vuxz 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 vvv vuxz y = y;
f3 vuyu vuyv vuyw vuyx = f0 vuyv vuyw vuyx;
;
f4 vvv vuxz y = f3 (vuxz == 0) vvv vuxz y;
f4 vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
;
pr1 x n True = f x (n - 1) x;
pr1 x n False = pr0 x n;
} 
;
pr2 vuzv vuzw = pr0 vuzv vuzw;
"
"pr3 True x vuzx = 1;
pr3 vuzy vuzz vvuu = pr2 vuzz vvuu;
"
"pr4 x vuzx = pr3 (vuzx == 0) x vuzx;
pr4 vvuv vvuw = pr2 vvuv vvuw;
"
The following Function with conditions
"dropWhile p [] = [];
dropWhile p (vvy : vvz)|p vvydropWhile p vvz|otherwisevvy : vvz;
"
is transformed to
"dropWhile p [] = dropWhile3 p [];
dropWhile p (vvy : vvz) = dropWhile2 p (vvy : vvz);
"
"dropWhile0 p vvy vvz True = vvy : vvz;
"
"dropWhile1 p vvy vvz True = dropWhile p vvz;
dropWhile1 p vvy vvz False = dropWhile0 p vvy vvz otherwise;
"
"dropWhile2 p (vvy : vvz) = dropWhile1 p vvy vvz (p vvy);
"
"dropWhile3 p [] = [];
dropWhile3 vvuz vvvu = dropWhile2 vvuz vvvu;
"
The following Function with conditions
"lex00 (ch,''' : t) = lex000 ch t (ch /= ''' : []);
lex00 vwv = [];
"
is transformed to
"lex00 (ch,vvvx : t) = lex003 (ch,vvvx : t);
lex00 vwv = lex001 vwv;
"
"lex001 vwv = [];
"
"lex002 True (ch,vvvx : t) = lex000 ch t (ch /= ''' : []);
lex002 vvvy vvvz = lex001 vvvz;
"
"lex003 (ch,vvvx : t) = lex002 (vvvx == ''') (ch,vvvx : t);
lex003 vvwu = lex001 vvwu;
"
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 vvwx vvwy = span2 vvwx vvwy;
"
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 vvxv vvxw = lexmatch0 vvxv vvxw;
"
The following Function with conditions
"absReal x|x >= 0x|otherwise`negate` x;
"
is transformed to
"absReal x = absReal2 x;
"
"absReal1 x True = x;
absReal1 x False = absReal0 x otherwise;
"
"absReal0 x True = `negate` x;
"
"absReal2 x = absReal1 x (x >= 0);
"
The following Function with conditions
"mandatory20 ('(' : [],s) = concatMap mandatory1 (optional s);
mandatory20 vzu = [];
"
is transformed to
"mandatory20 (vvxz : vvyu,s) = mandatory202 (vvxz : vvyu,s);
mandatory20 vzu = mandatory200 vzu;
"
"mandatory200 vzu = [];
"
"mandatory201 True (vvxz : [],s) = concatMap mandatory1 (optional s);
mandatory201 vvyv vvyw = mandatory200 vvyw;
"
"mandatory202 (vvxz : vvyu,s) = mandatory201 (vvxz == '(') (vvxz : vvyu,s);
mandatory202 vvyx = mandatory200 vvyx;
"
The following Function with conditions
"mandatory00 x (')' : [],u) = (x,u) : [];
mandatory00 x vzv = [];
"
is transformed to
"mandatory00 x (vvzu : vvzv,u) = mandatory002 x (vvzu : vvzv,u);
mandatory00 x vzv = mandatory000 x vzv;
"
"mandatory000 x vzv = [];
"
"mandatory001 True x (vvzu : [],u) = (x,u) : [];
mandatory001 vvzw vvzx vvzy = mandatory000 vvzx vvzy;
"
"mandatory002 x (vvzu : vvzv,u) = mandatory001 (vvzu == ')') x (vvzu : vvzv,u);
mandatory002 vvzz vwuu = mandatory000 vvzz vwuu;
"
The following Function with conditions
"read'10 ('-' : [],s) = concatMap read'0 (read'' s);
read'10 vzz = [];
"
is transformed to
"read'10 (vwux : vwuy,s) = read'102 (vwux : vwuy,s);
read'10 vzz = read'100 vzz;
"
"read'100 vzz = [];
"
"read'101 True (vwux : [],s) = concatMap read'0 (read'' s);
read'101 vwuz vwvu = read'100 vwvu;
"
"read'102 (vwux : vwuy,s) = read'101 (vwux == '-') (vwux : vwuy,s);
read'102 vwvv = read'100 vwvv;
"
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 (wuw : wux)|isDigit wuwspan isDigit (wuw : wux) : []|isUpper wuwlexEsc2 (concatMap (lexEsc1 (wuw : wux)) table);
lexEsc wuy = [];
"
is transformed to
"lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (vwxx : vwyu) = lexEsc14 (vwxx : vwyu);
lexEsc (vwwy : s) = lexEsc11 (vwwy : s);
lexEsc (vwvz : s) = lexEsc8 (vwvz : s);
lexEsc (wuw : wux) = lexEsc6 (wuw : wux);
lexEsc wuy = lexEsc3 wuy;
"
"lexEsc3 wuy = [];
"
"lexEsc5 wuw wux True = span isDigit (wuw : wux) : [];
lexEsc5 wuw wux False = lexEsc4 wuw wux (isUpper wuw);
"
"lexEsc4 wuw wux True = lexEsc2 (concatMap (lexEsc1 (wuw : wux)) table);
lexEsc4 wuw wux False = lexEsc3 (wuw : wux);
"
"lexEsc6 (wuw : wux) = lexEsc5 wuw wux (isDigit wuw);
lexEsc6 vwvx = lexEsc3 vwvx;
"
"lexEsc7 True (vwvz : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwu vwwv = lexEsc6 vwwv;
"
"lexEsc8 (vwvz : s) = lexEsc7 (vwvz == 'x') (vwvz : s);
lexEsc8 vwww = lexEsc6 vwww;
"
"lexEsc9 True (vwwy : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwwz vwxu = lexEsc8 vwxu;
"
"lexEsc11 (vwwy : s) = lexEsc9 (vwwy == 'o') (vwwy : s);
lexEsc11 vwxv = lexEsc8 vwxv;
"
"lexEsc12 vwxx c s True = ('^' : c : [],s) : [];
lexEsc12 vwxx c s False = lexEsc11 (vwxx : c : s);
"
"lexEsc13 True (vwxx : c : s) = lexEsc12 vwxx c s (c >= '@' && c <= '_');
lexEsc13 vwyv vwyw = lexEsc11 vwyw;
"
"lexEsc14 (vwxx : vwyu) = lexEsc13 (vwxx == '^') (vwxx : vwyu);
lexEsc14 vwyx = lexEsc11 vwyx;
"
"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 vwyz = lexEsc14 vwyz;
"
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 (wuw : wux)|isDigit wuwspan isDigit (wuw : wux) : []|isUpper wuwlexEsc2 (concatMap (lexEsc1 (wuw : wux)) table);
lexEsc wuy = [];
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wvu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wvv = [];
;
lexEsc2 (pr : wuz) = 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 (vwxx : vwyu) = lexEsc14 (vwxx : vwyu);
lexEsc (vwwy : s) = lexEsc11 (vwwy : s);
lexEsc (vwvz : s) = lexEsc8 (vwvz : s);
lexEsc (wuw : wux) = lexEsc6 (wuw : wux);
lexEsc wuy = lexEsc3 wuy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wvu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wvv = [];
;
lexEsc11 (vwwy : s) = lexEsc9 (vwwy == 'o') (vwwy : s);
lexEsc11 vwxv = lexEsc8 vwxv;
;
lexEsc12 vwxx c s True = ('^' : c : [],s) : [];
lexEsc12 vwxx c s False = lexEsc11 (vwxx : c : s);
;
lexEsc13 True (vwxx : c : s) = lexEsc12 vwxx c s (c >= '@' && c <= '_');
lexEsc13 vwyv vwyw = lexEsc11 vwyw;
;
lexEsc14 (vwxx : vwyu) = lexEsc13 (vwxx == '^') (vwxx : vwyu);
lexEsc14 vwyx = lexEsc11 vwyx;
;
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 vwyz = lexEsc14 vwyz;
;
lexEsc2 (pr : wuz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 wuy = [];
;
lexEsc4 wuw wux True = lexEsc2 (concatMap (lexEsc1 (wuw : wux)) table);
lexEsc4 wuw wux False = lexEsc3 (wuw : wux);
;
lexEsc5 wuw wux True = span isDigit (wuw : wux) : [];
lexEsc5 wuw wux False = lexEsc4 wuw wux (isUpper wuw);
;
lexEsc6 (wuw : wux) = lexEsc5 wuw wux (isDigit wuw);
lexEsc6 vwvx = lexEsc3 vwvx;
;
lexEsc7 True (vwvz : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwu vwwv = lexEsc6 vwwv;
;
lexEsc8 (vwvz : s) = lexEsc7 (vwvz == 'x') (vwvz : s);
lexEsc8 vwww = lexEsc6 vwww;
;
lexEsc9 True (vwwy : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwwz vwxu = lexEsc8 vwxu;
;
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 vwzw = lexLitChar2 vwzw;
"

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

(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 wwu = gcd'2 x wwu;
gcd' x y = gcd'0 x y;
;
gcd'0 x y = gcd' y (x `rem` y);
;
gcd'1 True x wwu = x;
gcd'1 wwv www wwx = gcd'0 www wwx;
;
gcd'2 x wwu = gcd'1 (wwu == 0) x wwu;
gcd'2 wwy wwz = gcd'0 wwy wwz;
} 
"
are unpacked to the following functions on top level
"gcd0Gcd' x wwu = gcd0Gcd'2 x wwu;
gcd0Gcd' x y = gcd0Gcd'0 x y;
"
"gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y);
"
"gcd0Gcd'1 True x wwu = x;
gcd0Gcd'1 wwv www wwx = gcd0Gcd'0 www wwx;
"
"gcd0Gcd'2 x wwu = gcd0Gcd'1 (wwu == 0) x wwu;
gcd0Gcd'2 wwy wwz = gcd0Gcd'0 wwy wwz;
"
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 vwzx vwzy = gcd vwzx vwzy;
"
"reduce2Reduce0 vwzx vwzy x y True = x `quot` reduce2D vwzx vwzy :% (y `quot` reduce2D vwzx vwzy);
"
"reduce2Reduce1 vwzx vwzy x y True = error [];
reduce2Reduce1 vwzx vwzy x y False = reduce2Reduce0 vwzx vwzy x y otherwise;
"
The bindings of the following Let/Where expression
"lexLitChar1 c s (c /= '\') where {
lexEsc (c : s) = lexEsc16 (c : s);
lexEsc (vwxx : vwyu) = lexEsc14 (vwxx : vwyu);
lexEsc (vwwy : s) = lexEsc11 (vwwy : s);
lexEsc (vwvz : s) = lexEsc8 (vwvz : s);
lexEsc (wuw : wux) = lexEsc6 (wuw : wux);
lexEsc wuy = lexEsc3 wuy;
;
lexEsc0 mne vu69 = lexEsc00 mne vu69;
;
lexEsc00 mne ([],s') = (mne,s') : [];
lexEsc00 mne wvu = [];
;
lexEsc1 s vu70 = lexEsc10 s vu70;
;
lexEsc10 s (c,mne) = concatMap (lexEsc0 mne) (lexmatch mne s : []);
lexEsc10 s wvv = [];
;
lexEsc11 (vwwy : s) = lexEsc9 (vwwy == 'o') (vwwy : s);
lexEsc11 vwxv = lexEsc8 vwxv;
;
lexEsc12 vwxx c s True = ('^' : c : [],s) : [];
lexEsc12 vwxx c s False = lexEsc11 (vwxx : c : s);
;
lexEsc13 True (vwxx : c : s) = lexEsc12 vwxx c s (c >= '@' && c <= '_');
lexEsc13 vwyv vwyw = lexEsc11 vwyw;
;
lexEsc14 (vwxx : vwyu) = lexEsc13 (vwxx == '^') (vwxx : vwyu);
lexEsc14 vwyx = lexEsc11 vwyx;
;
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 vwyz = lexEsc14 vwyz;
;
lexEsc2 (pr : wuz) = pr : [];
lexEsc2 [] = [];
;
lexEsc3 wuy = [];
;
lexEsc4 wuw wux True = lexEsc2 (concatMap (lexEsc1 (wuw : wux)) table);
lexEsc4 wuw wux False = lexEsc3 (wuw : wux);
;
lexEsc5 wuw wux True = span isDigit (wuw : wux) : [];
lexEsc5 wuw wux False = lexEsc4 wuw wux (isUpper wuw);
;
lexEsc6 (wuw : wux) = lexEsc5 wuw wux (isDigit wuw);
lexEsc6 vwvx = lexEsc3 vwvx;
;
lexEsc7 True (vwvz : s) = prefix 'x' (span isHexDigit s) : [];
lexEsc7 vwwu vwwv = lexEsc6 vwwv;
;
lexEsc8 (vwvz : s) = lexEsc7 (vwvz == 'x') (vwvz : s);
lexEsc8 vwww = lexEsc6 vwww;
;
lexEsc9 True (vwwy : s) = prefix 'o' (span isOctDigit s) : [];
lexEsc9 vwwz vwxu = lexEsc8 vwxu;
;
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
"lexLitChar2Table  = ('\127','D' : 'E' : 'L' : []) : asciiTab;
"
"lexLitChar2LexEsc7 True (vwvz : s) = lexLitChar2Prefix 'x' (span isHexDigit s) : [];
lexLitChar2LexEsc7 vwwu vwwv = lexLitChar2LexEsc6 vwwv;
"
"lexLitChar2LexEsc13 True (vwxx : c : s) = lexLitChar2LexEsc12 vwxx c s (c >= '@' && c <= '_');
lexLitChar2LexEsc13 vwyv vwyw = lexLitChar2LexEsc11 vwyw;
"
"lexLitChar2Prefix c (t,s) = (c : t,s);
"
"lexLitChar2LexEsc0 mne vu69 = lexLitChar2LexEsc00 mne vu69;
"
"lexLitChar2LexEsc1 s vu70 = lexLitChar2LexEsc10 s vu70;
"
"lexLitChar2LexEsc5 wuw wux True = span isDigit (wuw : wux) : [];
lexLitChar2LexEsc5 wuw wux False = lexLitChar2LexEsc4 wuw wux (isUpper wuw);
"
"lexLitChar2LexEsc (c : s) = lexLitChar2LexEsc16 (c : s);
lexLitChar2LexEsc (vwxx : vwyu) = lexLitChar2LexEsc14 (vwxx : vwyu);
lexLitChar2LexEsc (vwwy : s) = lexLitChar2LexEsc11 (vwwy : s);
lexLitChar2LexEsc (vwvz : s) = lexLitChar2LexEsc8 (vwvz : s);
lexLitChar2LexEsc (wuw : wux) = lexLitChar2LexEsc6 (wuw : wux);
lexLitChar2LexEsc wuy = lexLitChar2LexEsc3 wuy;
"
"lexLitChar2LexEsc00 mne ([],s') = (mne,s') : [];
lexLitChar2LexEsc00 mne wvu = [];
"
"lexLitChar2LexEsc9 True (vwwy : s) = lexLitChar2Prefix 'o' (span isOctDigit s) : [];
lexLitChar2LexEsc9 vwwz vwxu = lexLitChar2LexEsc8 vwxu;
"
"lexLitChar2LexEsc12 vwxx c s True = ('^' : c : [],s) : [];
lexLitChar2LexEsc12 vwxx c s False = lexLitChar2LexEsc11 (vwxx : c : s);
"
"lexLitChar2LexLitChar0 c s True = map (lexLitChar2Prefix '\') (lexLitChar2LexEsc s);
"
"lexLitChar2LexEsc3 wuy = [];
"
"lexLitChar2LexEsc8 (vwvz : s) = lexLitChar2LexEsc7 (vwvz == 'x') (vwvz : s);
lexLitChar2LexEsc8 vwww = lexLitChar2LexEsc6 vwww;
"
"lexLitChar2LexEsc15 c s True = (c : [],s) : [];
lexLitChar2LexEsc15 c s False = lexLitChar2LexEsc14 (c : s);
"
"lexLitChar2LexEsc11 (vwwy : s) = lexLitChar2LexEsc9 (vwwy == 'o') (vwwy : s);
lexLitChar2LexEsc11 vwxv = lexLitChar2LexEsc8 vwxv;
"
"lexLitChar2LexEsc16 (c : s) = lexLitChar2LexEsc15 c s (c `elem` 'a' : 'b' : 'f' : 'n' : 'r' : 't' : 'v' : '\' : '"' : ''' : []);
lexLitChar2LexEsc16 vwyz = lexLitChar2LexEsc14 vwyz;
"
"lexLitChar2LexEsc4 wuw wux True = lexLitChar2LexEsc2 (concatMap (lexLitChar2LexEsc1 (wuw : wux)) lexLitChar2Table);
lexLitChar2LexEsc4 wuw wux False = lexLitChar2LexEsc3 (wuw : wux);
"
"lexLitChar2LexEsc2 (pr : wuz) = pr : [];
lexLitChar2LexEsc2 [] = [];
"
"lexLitChar2LexEsc6 (wuw : wux) = lexLitChar2LexEsc5 wuw wux (isDigit wuw);
lexLitChar2LexEsc6 vwvx = lexLitChar2LexEsc3 vwvx;
"
"lexLitChar2LexLitChar1 c s True = (c : [],s) : [];
lexLitChar2LexLitChar1 c s False = lexLitChar2LexLitChar0 c s otherwise;
"
"lexLitChar2LexEsc14 (vwxx : vwyu) = lexLitChar2LexEsc13 (vwxx == '^') (vwxx : vwyu);
lexLitChar2LexEsc14 vwyx = lexLitChar2LexEsc11 vwyx;
"
"lexLitChar2LexEsc10 s (c,mne) = concatMap (lexLitChar2LexEsc0 mne) (lexmatch mne s : []);
lexLitChar2LexEsc10 s wvv = [];
"
The bindings of the following Let/Where expression
"concatMap readFloat1 (readFix r) ++ concatMap readFloat2 (lex r) ++ concatMap readFloat3 (lex r) where {
lexFrac (yxz : s) = lexFrac2 (yxz : s);
lexFrac s = lexFrac0 s;
;
lexFrac0 s = ([],s) : [];
;
lexFrac1 True (yxz : s) = lexDigits s;
lexFrac1 yyu yyv = lexFrac0 yyv;
;
lexFrac2 (yxz : s) = lexFrac1 (yxz == '.') (yxz : s);
lexFrac2 yyw = lexFrac0 yyw;
;
readExp (e : s) = readExp2 (e : s);
readExp s = readExp0 s;
;
readExp' (yxu : s) = readExp'5 (yxu : s);
readExp' (ywv : s) = readExp'3 (ywv : s);
readExp' s = readExp'1 s;
;
readExp'0 vu88 = readExp'00 vu88;
;
readExp'00 (k,t) = (`negate` k,t) : [];
readExp'00 vuu = [];
;
readExp'1 s = readDec s;
;
readExp'2 True (ywv : s) = readDec s;
readExp'2 yww ywx = readExp'1 ywx;
;
readExp'3 (ywv : s) = readExp'2 (ywv == '+') (ywv : s);
readExp'3 ywy = readExp'1 ywy;
;
readExp'4 True (yxu : s) = concatMap readExp'0 (readDec s);
readExp'4 yxv yxw = readExp'3 yxw;
;
readExp'5 (yxu : s) = readExp'4 (yxu == '-') (yxu : s);
readExp'5 yxx = readExp'3 yxx;
;
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 yvz = readExp0 yvz;
;
readFix r = concatMap readFix1 (lexDigits r);
;
readFix0 ds vu86 = readFix00 ds vu86;
;
readFix00 ds (ds',t) = (read (ds ++ ds'),length ds',t) : [];
readFix00 ds vuv = [];
;
readFix1 vu87 = readFix10 vu87;
;
readFix10 (ds,d) = concatMap (readFix0 ds) (lexFrac d);
readFix10 vuw = [];
;
readFloat0 n d vu82 = readFloat00 n d vu82;
;
readFloat00 n d (k,t) = (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
readFloat00 n d vux = [];
;
readFloat1 vu83 = readFloat10 vu83;
;
readFloat10 (n,d,s) = concatMap (readFloat0 n d) (readExp s);
readFloat10 vuz = [];
;
readFloat2 vu84 = readFloat20 vu84;
;
readFloat20 (yyz : zuw,t) = readFloat204 (yyz : zuw,t);
readFloat20 vuy = readFloat200 vuy;
;
readFloat200 vuy = [];
;
readFloat201 True (yyz : yzv : yzx : [],t) = (0 / 0,t) : [];
readFloat201 zux zuy = readFloat200 zuy;
;
readFloat202 True (yyz : yzv : yzx : yzy,t) = readFloat201 (yzx == 'N') (yyz : yzv : yzx : yzy,t);
readFloat202 zuz zvu = readFloat200 zvu;
;
readFloat203 True (yyz : yzv : zuu,t) = readFloat202 (yzv == 'a') (yyz : yzv : zuu,t);
readFloat203 zvv zvw = readFloat200 zvw;
;
readFloat204 (yyz : zuw,t) = readFloat203 (yyz == 'N') (yyz : zuw,t);
readFloat204 zvx = readFloat200 zvx;
;
readFloat3 vu85 = readFloat30 vu85;
;
readFloat30 (zwu : vuuz,t) = readFloat309 (zwu : vuuz,t);
readFloat30 vvu = readFloat300 vvu;
;
readFloat300 vvu = [];
;
readFloat301 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : [],t) = (1 / 0,t) : [];
readFloat301 vuvu vuvv = readFloat300 vuvv;
;
readFloat302 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t) = readFloat301 (zyw == 'y') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t);
readFloat302 vuvw vuvx = readFloat300 vuvx;
;
readFloat303 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t) = readFloat302 (zyu == 't') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t);
readFloat303 vuvy vuvz = readFloat300 vuvz;
;
readFloat304 True (zwu : zww : zwy : zxu : zxw : zxy : zzv,t) = readFloat303 (zxy == 'i') (zwu : zww : zwy : zxu : zxw : zxy : zzv,t);
readFloat304 vuwu vuwv = readFloat300 vuwv;
;
readFloat305 True (zwu : zww : zwy : zxu : zxw : zzx,t) = readFloat304 (zxw == 'n') (zwu : zww : zwy : zxu : zxw : zzx,t);
readFloat305 vuww vuwx = readFloat300 vuwx;
;
readFloat306 True (zwu : zww : zwy : zxu : zzz,t) = readFloat305 (zxu == 'i') (zwu : zww : zwy : zxu : zzz,t);
readFloat306 vuwy vuwz = readFloat300 vuwz;
;
readFloat307 True (zwu : zww : zwy : vuuv,t) = readFloat306 (zwy == 'f') (zwu : zww : zwy : vuuv,t);
readFloat307 vuxu vuxv = readFloat300 vuxv;
;
readFloat308 True (zwu : zww : vuux,t) = readFloat307 (zww == 'n') (zwu : zww : vuux,t);
readFloat308 vuxw vuxx = readFloat300 vuxx;
;
readFloat309 (zwu : vuuz,t) = readFloat308 (zwu == 'I') (zwu : vuuz,t);
readFloat309 vuxy = readFloat300 vuxy;
} 
"
are unpacked to the following functions on top level
"readFloatReadFix10 (ds,d) = concatMap (readFloatReadFix0 ds) (readFloatLexFrac d);
readFloatReadFix10 vuw = [];
"
"readFloatReadFloat20 (yyz : zuw,t) = readFloatReadFloat204 (yyz : zuw,t);
readFloatReadFloat20 vuy = readFloatReadFloat200 vuy;
"
"readFloatReadFloat10 (n,d,s) = concatMap (readFloatReadFloat0 n d) (readFloatReadExp s);
readFloatReadFloat10 vuz = [];
"
"readFloatReadFloat309 (zwu : vuuz,t) = readFloatReadFloat308 (zwu == 'I') (zwu : vuuz,t);
readFloatReadFloat309 vuxy = readFloatReadFloat300 vuxy;
"
"readFloatLexFrac2 (yxz : s) = readFloatLexFrac1 (yxz == '.') (yxz : s);
readFloatLexFrac2 yyw = readFloatLexFrac0 yyw;
"
"readFloatReadFloat202 True (yyz : yzv : yzx : yzy,t) = readFloatReadFloat201 (yzx == 'N') (yyz : yzv : yzx : yzy,t);
readFloatReadFloat202 zuz zvu = readFloatReadFloat200 zvu;
"
"readFloatReadFloat2 vu84 = readFloatReadFloat20 vu84;
"
"readFloatReadFloat303 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t) = readFloatReadFloat302 (zyu == 't') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyz,t);
readFloatReadFloat303 vuvy vuvz = readFloatReadFloat300 vuvz;
"
"readFloatReadExp0 s = (0,s) : [];
"
"readFloatReadFloat00 n d (k,t) = (fromRational (n % 1 * 10 ^^ (k - d)),t) : [];
readFloatReadFloat00 n d vux = [];
"
"readFloatReadFix0 ds vu86 = readFloatReadFix00 ds vu86;
"
"readFloatReadFix1 vu87 = readFloatReadFix10 vu87;
"
"readFloatReadFloat308 True (zwu : zww : vuux,t) = readFloatReadFloat307 (zww == 'n') (zwu : zww : vuux,t);
readFloatReadFloat308 vuxw vuxx = readFloatReadFloat300 vuxx;
"
"readFloatReadFloat302 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t) = readFloatReadFloat301 (zyw == 'y') (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : zyx,t);
readFloatReadFloat302 vuvw vuvx = readFloatReadFloat300 vuvx;
"
"readFloatReadFloat305 True (zwu : zww : zwy : zxu : zxw : zzx,t) = readFloatReadFloat304 (zxw == 'n') (zwu : zww : zwy : zxu : zxw : zzx,t);
readFloatReadFloat305 vuww vuwx = readFloatReadFloat300 vuwx;
"
"readFloatReadFloat300 vvu = [];
"
"readFloatReadFix00 ds (ds',t) = (read (ds ++ ds'),length ds',t) : [];
readFloatReadFix00 ds vuv = [];
"
"readFloatReadFloat304 True (zwu : zww : zwy : zxu : zxw : zxy : zzv,t) = readFloatReadFloat303 (zxy == 'i') (zwu : zww : zwy : zxu : zxw : zxy : zzv,t);
readFloatReadFloat304 vuwu vuwv = readFloatReadFloat300 vuwv;
"
"readFloatReadFix r = concatMap readFloatReadFix1 (lexDigits r);
"
"readFloatReadFloat200 vuy = [];
"
"readFloatReadFloat3 vu85 = readFloatReadFloat30 vu85;
"
"readFloatReadFloat1 vu83 = readFloatReadFloat10 vu83;
"
"readFloatLexFrac1 True (yxz : s) = lexDigits s;
readFloatLexFrac1 yyu yyv = readFloatLexFrac0 yyv;
"
"readFloatReadExp'4 True (yxu : s) = concatMap readFloatReadExp'0 (readDec s);
readFloatReadExp'4 yxv yxw = readFloatReadExp'3 yxw;
"
"readFloatReadExp1 e s True = readFloatReadExp' s;
readFloatReadExp1 e s False = readFloatReadExp0 (e : s);
"
"readFloatReadFloat204 (yyz : zuw,t) = readFloatReadFloat203 (yyz == 'N') (yyz : zuw,t);
readFloatReadFloat204 zvx = readFloatReadFloat200 zvx;
"
"readFloatReadFloat306 True (zwu : zww : zwy : zxu : zzz,t) = readFloatReadFloat305 (zxu == 'i') (zwu : zww : zwy : zxu : zzz,t);
readFloatReadFloat306 vuwy vuwz = readFloatReadFloat300 vuwz;
"
"readFloatLexFrac (yxz : s) = readFloatLexFrac2 (yxz : s);
readFloatLexFrac s = readFloatLexFrac0 s;
"
"readFloatReadFloat201 True (yyz : yzv : yzx : [],t) = (0 / 0,t) : [];
readFloatReadFloat201 zux zuy = readFloatReadFloat200 zuy;
"
"readFloatReadExp'5 (yxu : s) = readFloatReadExp'4 (yxu == '-') (yxu : s);
readFloatReadExp'5 yxx = readFloatReadExp'3 yxx;
"
"readFloatReadExp'3 (ywv : s) = readFloatReadExp'2 (ywv == '+') (ywv : s);
readFloatReadExp'3 ywy = readFloatReadExp'1 ywy;
"
"readFloatReadFloat301 True (zwu : zww : zwy : zxu : zxw : zxy : zyu : zyw : [],t) = (1 / 0,t) : [];
readFloatReadFloat301 vuvu vuvv = readFloatReadFloat300 vuvv;
"
"readFloatReadFloat30 (zwu : vuuz,t) = readFloatReadFloat309 (zwu : vuuz,t);
readFloatReadFloat30 vvu = readFloatReadFloat300 vvu;
"
"readFloatReadExp2 (e : s) = readFloatReadExp1 e s (e `elem` 'e' : 'E' : []);
readFloatReadExp2 yvz = readFloatReadExp0 yvz;
"
"readFloatReadFloat0 n d vu82 = readFloatReadFloat00 n d vu82;
"
"readFloatReadExp'1 s = readDec s;
"
"readFloatReadFloat203 True (yyz : yzv : zuu,t) = readFloatReadFloat202 (yzv == 'a') (yyz : yzv : zuu,t);
readFloatReadFloat203 zvv zvw = readFloatReadFloat200 zvw;
"
"readFloatLexFrac0 s = ([],s) : [];
"
"readFloatReadExp (e : s) = readFloatReadExp2 (e : s);
readFloatReadExp s = readFloatReadExp0 s;
"
"readFloatReadExp' (yxu : s) = readFloatReadExp'5 (yxu : s);
readFloatReadExp' (ywv : s) = readFloatReadExp'3 (ywv : s);
readFloatReadExp' s = readFloatReadExp'1 s;
"
"readFloatReadFloat307 True (zwu : zww : zwy : vuuv,t) = readFloatReadFloat306 (zwy == 'f') (zwu : zww : zwy : vuuv,t);
readFloatReadFloat307 vuxu vuxv = readFloatReadFloat300 vuxv;
"
"readFloatReadExp'00 (k,t) = (`negate` k,t) : [];
readFloatReadExp'00 vuu = [];
"
"readFloatReadExp'2 True (ywv : s) = readDec s;
readFloatReadExp'2 yww ywx = readFloatReadExp'1 ywx;
"
"readFloatReadExp'0 vu88 = readFloatReadExp'00 vu88;
"
The bindings of the following Let/Where expression
"pr1 x n (n > 0) where {
f vvv vuxz y = f4 vvv vuxz 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 vvv vuxz y = y;
f3 vuyu vuyv vuyw vuyx = f0 vuyv vuyw vuyx;
;
f4 vvv vuxz y = f3 (vuxz == 0) vvv vuxz y;
f4 vuyy vuyz vuzu = f0 vuyy vuyz vuzu;
;
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 vvv vuxz y = y;
pr2F3 vuyu vuyv vuyw vuyx = pr2F0 vuyv vuyw vuyx;
"
"pr2Pr1 x n True = pr2F x (n - 1) x;
pr2Pr1 x n False = pr0 x n;
"
"pr2F vvv vuxz y = pr2F4 vvv vuxz y;
pr2F x n y = pr2F0 x n y;
"
"pr2F0 x n y = pr2F0G y x n;
"
"pr2F4 vvv vuxz y = pr2F3 (vuxz == 0) vvv vuxz y;
pr2F4 vuyy vuyz vuzu = pr2F0 vuyy vuyz vuzu;
"
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 (xvu : xvy) = lexStrItem7 (xvu : xvy);
lexStrItem (wzy : xuv) = lexStrItem4 (wzy : xuv);
lexStrItem s = lexStrItem1 s;
;
lexStrItem0 vu58 = lexStrItem00 vu58;
;
lexStrItem00 (xwz : t) = lexStrItem002 (xwz : t);
lexStrItem00 xu = lexStrItem000 xu;
;
lexStrItem000 xu = [];
;
lexStrItem001 True (xwz : t) = ([],t) : [];
lexStrItem001 xxu xxv = lexStrItem000 xxv;
;
lexStrItem002 (xwz : t) = lexStrItem001 (xwz == '\') (xwz : t);
lexStrItem002 xxw = lexStrItem000 xxw;
;
lexStrItem1 s = lexLitChar s;
;
lexStrItem2 wzy c s True = concatMap lexStrItem0 (dropWhile isSpace s : []);
lexStrItem2 wzy c s False = lexStrItem1 (wzy : c : s);
;
lexStrItem3 True (wzy : c : s) = lexStrItem2 wzy c s (isSpace c);
lexStrItem3 xuw xux = lexStrItem1 xux;
;
lexStrItem4 (wzy : xuv) = lexStrItem3 (wzy == '\') (wzy : xuv);
lexStrItem4 xuy = lexStrItem1 xuy;
;
lexStrItem5 True (xvu : xvw : s) = ('\' : '&' : [],s) : [];
lexStrItem5 xvz xwu = lexStrItem4 xwu;
;
lexStrItem6 True (xvu : xvw : s) = lexStrItem5 (xvw == '&') (xvu : xvw : s);
lexStrItem6 xwv xww = lexStrItem4 xww;
;
lexStrItem7 (xvu : xvy) = lexStrItem6 (xvu == '\') (xvu : xvy);
lexStrItem7 xwx = lexStrItem4 xwx;
;
lexString (wyz : s) = lexString4 (wyz : 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 (wyz : s) = ('"' : [],s) : [];
lexString3 wzu wzv = lexString2 wzv;
;
lexString4 (wyz : s) = lexString3 (wyz == '"') (wyz : s);
lexString4 wzw = lexString2 wzw;
} 
"
are unpacked to the following functions on top level
"lex13LexStrItem0 vu58 = lex13LexStrItem00 vu58;
"
"lex13LexStrItem000 xu = [];
"
"lex13Lex10 (str,t) = ('"' : str,t) : [];
lex13Lex10 xv = [];
"
"lex13Lex1 vu55 = lex13Lex10 vu55;
"
"lex13LexStrItem2 wzy c s True = concatMap lex13LexStrItem0 (dropWhile isSpace s : []);
lex13LexStrItem2 wzy c s False = lex13LexStrItem1 (wzy : c : s);
"
"lex13LexStrItem4 (wzy : xuv) = lex13LexStrItem3 (wzy == '\') (wzy : xuv);
lex13LexStrItem4 xuy = lex13LexStrItem1 xuy;
"
"lex13LexString0 ch vu56 = lex13LexString00 ch vu56;
"
"lex13LexString2 s = concatMap lex13LexString1 (lex13LexStrItem s);
"
"lex13LexStrItem00 (xwz : t) = lex13LexStrItem002 (xwz : t);
lex13LexStrItem00 xu = lex13LexStrItem000 xu;
"
"lex13LexStrItem002 (xwz : t) = lex13LexStrItem001 (xwz == '\') (xwz : t);
lex13LexStrItem002 xxw = lex13LexStrItem000 xxw;
"
"lex13LexStrItem6 True (xvu : xvw : s) = lex13LexStrItem5 (xvw == '&') (xvu : xvw : s);
lex13LexStrItem6 xwv xww = lex13LexStrItem4 xww;
"
"lex13LexString10 (ch,t) = concatMap (lex13LexString0 ch) (lex13LexString t);
lex13LexString10 wz = [];
"
"lex13LexString (wyz : s) = lex13LexString4 (wyz : s);
lex13LexString s = lex13LexString2 s;
"
"lex13LexStrItem3 True (wzy : c : s) = lex13LexStrItem2 wzy c s (isSpace c);
lex13LexStrItem3 xuw xux = lex13LexStrItem1 xux;
"
"lex13LexStrItem001 True (xwz : t) = ([],t) : [];
lex13LexStrItem001 xxu xxv = lex13LexStrItem000 xxv;
"
"lex13LexString1 vu57 = lex13LexString10 vu57;
"
"lex13LexString00 ch (str,u) = (ch ++ str,u) : [];
lex13LexString00 ch wy = [];
"
"lex13LexString4 (wyz : s) = lex13LexString3 (wyz == '"') (wyz : s);
lex13LexString4 wzw = lex13LexString2 wzw;
"
"lex13LexString3 True (wyz : s) = ('"' : [],s) : [];
lex13LexString3 wzu wzv = lex13LexString2 wzv;
"
"lex13LexStrItem7 (xvu : xvy) = lex13LexStrItem6 (xvu == '\') (xvu : xvy);
lex13LexStrItem7 xwx = lex13LexStrItem4 xwx;
"
"lex13LexStrItem5 True (xvu : xvw : s) = ('\' : '&' : [],s) : [];
lex13LexStrItem5 xvz xwu = lex13LexStrItem4 xwu;
"
"lex13LexStrItem (xvu : xvy) = lex13LexStrItem7 (xvu : xvy);
lex13LexStrItem (wzy : xuv) = lex13LexStrItem4 (wzy : xuv);
lex13LexStrItem s = lex13LexStrItem1 s;
"
"lex13LexStrItem1 s = lexLitChar 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
"span2Ys0 vwzz vxuu (ys,vwz) = ys;
"
"span2Zs vwzz vxuu = span2Zs0 vwzz vxuu (span2Vu43 vwzz vxuu);
"
"span2Ys vwzz vxuu = span2Ys0 vwzz vxuu (span2Vu43 vwzz vxuu);
"
"span2Span0 vwzz vxuu p vww vwx True = ([],vww : vwx);
"
"span2Span1 vwzz vxuu p vww vwx True = (vww : span2Ys vwzz vxuu,span2Zs vwzz vxuu);
span2Span1 vwzz vxuu p vww vwx False = span2Span0 vwzz vxuu p vww vwx otherwise;
"
"span2Zs0 vwzz vxuu (vwy,zs) = zs;
"
"span2Vu43 vwzz vxuu = span vwzz vxuu;
"
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 xxy = lexExp3 xxy;
;
lexFracExp (xyu : xyx) = lexFracExp5 (xyu : xyx);
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 xyu c cs True = concatMap lexFracExp1 (lexDigits (c : cs));
lexFracExp3 xyu c cs False = lexFracExp2 (xyu : c : cs);
;
lexFracExp4 True (xyu : c : cs) = lexFracExp3 xyu c cs (isDigit c);
lexFracExp4 xyy xyz = lexFracExp2 xyz;
;
lexFracExp5 (xyu : xyx) = lexFracExp4 (xyu == '.') (xyu : xyx);
lexFracExp5 xzu = lexFracExp2 xzu;
} 
"
are unpacked to the following functions on top level
"lex12Lex9 c s True = concatMap (lex12Lex2 c) (span lex12IsSym s : []);
lex12Lex9 c s False = lex12Lex8 c s (isAlpha c);
"
"lex12Lex50 c (ds,s) = concatMap (lex12Lex4 c ds) (lex12LexFracExp s);
lex12Lex50 c yw = [];
"
"lex12Lex7 c s True = concatMap (lex12Lex5 c) (span isDigit s : []);
lex12Lex7 c s False = lex12Lex6 c s otherwise;
"
"lex12Lex8 c s True = concatMap (lex12Lex3 c) (span lex12IsIdChar s : []);
lex12Lex8 c s False = lex12Lex7 c s (isDigit c);
"
"lex12LexExp5 (e : s) = lex12LexExp4 e s (e `elem` 'e' : 'E' : []);
lex12LexExp5 xxy = lex12LexExp3 xxy;
"
"lex12LexExp10 e (c : t) = lex12LexExp100 e c t (c `elem` '+' : '-' : []);
lex12LexExp10 e xy = [];
"
"lex12LexFracExp3 xyu c cs True = concatMap lex12LexFracExp1 (lexDigits (c : cs));
lex12LexFracExp3 xyu c cs False = lex12LexFracExp2 (xyu : c : cs);
"
"lex12Lex6 c s True = [];
"
"lex12Lex11 c s True = (c : [],s) : [];
lex12Lex11 c s False = lex12Lex9 c s (lex12IsSym c);
"
"lex12LexExp100 e c t True = concatMap (lex12LexExp0 e c) (lexDigits t);
lex12LexExp100 e c t False = [];
"
"lex12LexExp2 e vu67 = lex12LexExp20 e vu67;
"
"lex12LexFracExp2 s = lex12LexExp s;
"
"lex12LexFracExp5 (xyu : xyx) = lex12LexFracExp4 (xyu == '.') (xyu : xyx);
lex12LexFracExp5 xzu = lex12LexFracExp2 xzu;
"
"lex12Lex40 c ds (fe,t) = (c : ds ++ fe,t) : [];
lex12Lex40 c ds yv = [];
"
"lex12LexFracExp00 ds (e,u) = ('.' : ds ++ e,u) : [];
lex12LexFracExp00 ds yu = [];
"
"lex12Lex2 c vu59 = lex12Lex20 c vu59;
"
"lex12LexExp4 e s True = concatMap (lex12LexExp1 e) (s : []) ++ concatMap (lex12LexExp2 e) (lexDigits s);
lex12LexExp4 e s False = lex12LexExp3 (e : s);
"
"lex12LexExp1 e vu66 = lex12LexExp10 e vu66;
"
"lex12LexExp0 e c vu65 = lex12LexExp00 e c vu65;
"
"lex12IsSingle c = c `elem` ',' : ';' : '(' : ')' : '[' : ']' : '{' : '}' : '_' : '`' : [];
"
"lex12Lex20 c (sym,t) = (c : sym,t) : [];
lex12Lex20 c yx = [];
"
"lex12LexFracExp (xyu : xyx) = lex12LexFracExp5 (xyu : xyx);
lex12LexFracExp s = lex12LexFracExp2 s;
"
"lex12LexExp00 e c (ds,u) = (e : c : ds,u) : [];
lex12LexExp00 e c xw = [];
"
"lex12LexFracExp0 ds vu63 = lex12LexFracExp00 ds vu63;
"
"lex12LexFracExp1 vu64 = lex12LexFracExp10 vu64;
"
"lex12IsIdChar c = isAlphaNum c || c `elem` '_' : ''' : [];
"
"lex12LexExp20 e (ds,t) = (e : ds,t) : [];
lex12LexExp20 e xx = [];
"
"lex12LexFracExp10 (ds,t) = concatMap (lex12LexFracExp0 ds) (lex12LexExp t);
lex12LexFracExp10 xz = [];
"
"lex12Lex30 c (nam,t) = (c : nam,t) : [];
lex12Lex30 c yy = [];
"
"lex12LexExp3 s = ([],s) : [];
"
"lex12Lex3 c vu60 = lex12Lex30 c vu60;
"
"lex12Lex4 c ds vu61 = lex12Lex40 c ds vu61;
"
"lex12LexExp (e : s) = lex12LexExp5 (e : s);
lex12LexExp s = lex12LexExp3 s;
"
"lex12Lex5 c vu62 = lex12Lex50 c vu62;
"
"lex12IsSym c = c `elem` '!' : '@' : '#' : '$' : '%' : '&' : '*' : '+' : '.' : '/' : '<' : '=' : '>' : '?' : '\' : '^' : '|' : ':' : '-' : '~' : [];
"
"lex12LexFracExp4 True (xyu : c : cs) = lex12LexFracExp3 xyu c cs (isDigit c);
lex12LexFracExp4 xyy xyz = lex12LexFracExp2 xyz;
"
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 (vvzu : vvzv,u) = mandatory002 x (vvzu : vvzv,u);
mandatory00 x vzv = mandatory000 x vzv;
;
mandatory000 x vzv = [];
;
mandatory001 True x (vvzu : [],u) = (x,u) : [];
mandatory001 vvzw vvzx vvzy = mandatory000 vvzx vvzy;
;
mandatory002 x (vvzu : vvzv,u) = mandatory001 (vvzu == ')') x (vvzu : vvzv,u);
mandatory002 vvzz vwuu = mandatory000 vvzz vwuu;
;
mandatory1 vu49 = mandatory10 vu49;
;
mandatory10 (x,t) = concatMap (mandatory0 x) (lex t);
mandatory10 vzw = [];
;
mandatory2 vu50 = mandatory20 vu50;
;
mandatory20 (vvxz : vvyu,s) = mandatory202 (vvxz : vvyu,s);
mandatory20 vzu = mandatory200 vzu;
;
mandatory200 vzu = [];
;
mandatory201 True (vvxz : [],s) = concatMap mandatory1 (optional s);
mandatory201 vvyv vvyw = mandatory200 vvyw;
;
mandatory202 (vvxz : vvyu,s) = mandatory201 (vvxz == '(') (vvxz : vvyu,s);
mandatory202 vvyx = mandatory200 vvyx;
;
optional r = g r ++ mandatory r;
;
readParen0 True = mandatory;
readParen0 False = optional;
} 
"
are unpacked to the following functions on top level
"readParenMandatory00 vxuv x (vvzu : vvzv,u) = readParenMandatory002 vxuv x (vvzu : vvzv,u);
readParenMandatory00 vxuv x vzv = readParenMandatory000 vxuv x vzv;
"
"readParenMandatory2 vxuv vu50 = readParenMandatory20 vxuv vu50;
"
"readParenMandatory vxuv r = concatMap (readParenMandatory2 vxuv) (lex r);
"
"readParenMandatory202 vxuv (vvxz : vvyu,s) = readParenMandatory201 vxuv (vvxz == '(') (vvxz : vvyu,s);
readParenMandatory202 vxuv vvyx = readParenMandatory200 vxuv vvyx;
"
"readParenMandatory20 vxuv (vvxz : vvyu,s) = readParenMandatory202 vxuv (vvxz : vvyu,s);
readParenMandatory20 vxuv vzu = readParenMandatory200 vxuv vzu;
"
"readParenOptional vxuv r = vxuv r ++ readParenMandatory vxuv r;
"
"readParenMandatory201 vxuv True (vvxz : [],s) = concatMap (readParenMandatory1 vxuv) (readParenOptional vxuv s);
readParenMandatory201 vxuv vvyv vvyw = readParenMandatory200 vxuv vvyw;
"
"readParenMandatory200 vxuv vzu = [];
"
"readParenMandatory1 vxuv vu49 = readParenMandatory10 vxuv vu49;
"
"readParenMandatory002 vxuv x (vvzu : vvzv,u) = readParenMandatory001 vxuv (vvzu == ')') x (vvzu : vvzv,u);
readParenMandatory002 vxuv vvzz vwuu = readParenMandatory000 vxuv vvzz vwuu;
"
"readParenMandatory000 vxuv x vzv = [];
"
"readParenMandatory10 vxuv (x,t) = concatMap (readParenMandatory0 vxuv x) (lex t);
readParenMandatory10 vxuv vzw = [];
"
"readParenReadParen0 vxuv True = readParenMandatory vxuv;
readParenReadParen0 vxuv False = readParenOptional vxuv;
"
"readParenMandatory001 vxuv True x (vvzu : [],u) = (x,u) : [];
readParenMandatory001 vxuv vvzw vvzx vvzy = readParenMandatory000 vxuv vvzx vvzy;
"
"readParenMandatory0 vxuv x vu48 = readParenMandatory00 vxuv x vu48;
"
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 vzy = [];
;
read''1 readPos vu81 = read''10 readPos vu81;
;
read''10 readPos (str,s) = concatMap (read''0 s) (readPos str);
read''10 readPos vzx = [];
;
read'0 vu78 = read'00 vu78;
;
read'00 (x,t) = (`negate` x,t) : [];
read'00 wuu = [];
;
read'1 vu79 = read'10 vu79;
;
read'10 (vwux : vwuy,s) = read'102 (vwux : vwuy,s);
read'10 vzz = read'100 vzz;
;
read'100 vzz = [];
;
read'101 True (vwux : [],s) = concatMap read'0 (read'' s);
read'101 vwuz vwvu = read'100 vwvu;
;
read'102 (vwux : vwuy,s) = read'101 (vwux == '-') (vwux : vwuy,s);
read'102 vwvv = read'100 vwvv;
} 
"
are unpacked to the following functions on top level
"readSignedRead'101 vxuw True (vwux : [],s) = concatMap (readSignedRead'0 vxuw) (readSignedRead'' vxuw s);
readSignedRead'101 vxuw vwuz vwvu = readSignedRead'100 vxuw vwvu;
"
"readSignedRead'1 vxuw vu79 = readSignedRead'10 vxuw vu79;
"
"readSignedRead'100 vxuw vzz = [];
"
"readSignedRead''1 vxuw readPos vu81 = readSignedRead''10 vxuw readPos vu81;
"
"readSignedRead'102 vxuw (vwux : vwuy,s) = readSignedRead'101 vxuw (vwux == '-') (vwux : vwuy,s);
readSignedRead'102 vxuw vwvv = readSignedRead'100 vxuw vwvv;
"
"readSignedRead''0 vxuw s vu80 = readSignedRead''00 vxuw s vu80;
"
"readSignedRead''10 vxuw readPos (str,s) = concatMap (readSignedRead''0 vxuw s) (readPos str);
readSignedRead''10 vxuw readPos vzx = [];
"
"readSignedRead'00 vxuw (x,t) = (`negate` x,t) : [];
readSignedRead'00 vxuw wuu = [];
"
"readSignedRead'10 vxuw (vwux : vwuy,s) = readSignedRead'102 vxuw (vwux : vwuy,s);
readSignedRead'10 vxuw vzz = readSignedRead'100 vxuw vzz;
"
"readSignedRead'0 vxuw vu78 = readSignedRead'00 vxuw vu78;
"
"readSignedRead' vxuw r = readSignedRead'' vxuw r ++ concatMap (readSignedRead'1 vxuw) (lex r);
"
"readSignedRead''00 vxuw s (n,[]) = (n,s) : [];
readSignedRead''00 vxuw s vzy = [];
"
"readSignedRead'' vxuw r = concatMap (readSignedRead''1 vxuw vxuw) (lex r);
"
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 vxux x n = pr2F0G2 vxux x n;
"
"pr2F0G1 vxux x n True = pr2F0G vxux (x * x) (n `quot` 2);
pr2F0G1 vxux x n False = pr2F0G0 vxux x n otherwise;
"
"pr2F0G2 vxux x n = pr2F0G1 vxux x n (even n);
"
"pr2F0G0 vxux x n True = pr2F x (n - 1) (x * vxux);
"

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

(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;
}