YES 16.637 H-Termination proof of /home/matraf/haskell/eval_FullyBlown_Fast/FiniteMap.hs
H-Termination of the given Haskell-Program with start terms could successfully be proven:



HASKELL
  ↳ LR

mainModule FiniteMap
  ((listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b) :: Ord a => [(a,b)]  ->  FiniteMap a b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C (\old new ->new) fm key_elt_pairs

  addListToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt _ _ EmptyFM(key,elt)
findMax (Branch key elt _ _ fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) (key,elt)
findMin (Branch key elt _ fm_l _) findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm foldFM (\key elt rest ->(key,elt: rest) [] fm

  foldFM :: (a  ->  b  ->  c  ->  c ->  c  ->  FiniteMap a b  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
case fm_R of
  Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr -> 
single_L fm_L fm_R
 | otherwise -> 
double_L fm_L fm_R
 | size_l > sIZE_RATIO * size_r = 
case fm_L of
  Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll -> 
single_R fm_L fm_R
 | otherwise -> 
double_R fm_L fm_R
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok 
case fm_l of
  EmptyFM-> True
  Branch left_key _ _ _ _-> 
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok 
case fm_r of
  EmptyFM-> True
  Branch right_key _ _ _ _-> 
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch _ _ size _ _) size

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Lambda Reductions:
The following Lambda expression
\keyeltrest→(key,elt: rest

is transformed to
fmToList0 key elt rest = (key,elt: rest

The following Lambda expression
\oldnewnew

is transformed to
addListToFM0 old new = new



↳ HASKELL
  ↳ LR
HASKELL
      ↳ CR

mainModule FiniteMap
  ((listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a) :: Ord b => [(b,a)]  ->  FiniteMap b a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt _ _ EmptyFM(key,elt)
findMax (Branch key elt _ _ fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) (key,elt)
findMin (Branch key elt _ fm_l _) findMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (a  ->  c  ->  b  ->  b ->  b  ->  FiniteMap a c  ->  b
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
case fm_R of
  Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr -> 
single_L fm_L fm_R
 | otherwise -> 
double_L fm_L fm_R
 | size_l > sIZE_RATIO * size_r = 
case fm_L of
  Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll -> 
single_R fm_L fm_R
 | otherwise -> 
double_R fm_L fm_R
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok 
case fm_l of
  EmptyFM-> True
  Branch left_key _ _ _ _-> 
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok 
case fm_r of
  EmptyFM-> True
  Branch right_key _ _ _ _-> 
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch _ _ size _ _) size

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Case Reductions:
The following Case expression
case fm_l of
 EmptyFM → True
 Branch left_key _ _ _ _ → 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

is transformed to
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key _ _ _ _) = 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

The following Case expression
case fm_r of
 EmptyFM → True
 Branch right_key _ _ _ _ → 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

is transformed to
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key _ _ _ _) = 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

The following Case expression
case fm_R of
 Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 → single_L fm_L fm_R
 | otherwise
 → double_L fm_L fm_R

is transformed to
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R

The following Case expression
case fm_L of
 Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 → single_R fm_L fm_R
 | otherwise
 → double_R fm_L fm_R

is transformed to
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R

The following Case expression
case compare x y of
 EQ → o
 LT → LT
 GT → GT

is transformed to
primCompAux0 o EQ = o
primCompAux0 o LT = LT
primCompAux0 o GT = GT



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
HASKELL
          ↳ IFR

mainModule FiniteMap
  ((listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a) :: Ord b => [(b,a)]  ->  FiniteMap b a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  emptyFM :: FiniteMap a b
emptyFM EmptyFM

  findMax :: FiniteMap a b  ->  (a,b)
findMax (Branch key elt _ _ EmptyFM(key,elt)
findMax (Branch key elt _ _ fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) (key,elt)
findMin (Branch key elt _ fm_l _) findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (b  ->  a  ->  c  ->  c ->  c  ->  FiniteMap b a  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM True
left_ok0 fm_l key (Branch left_key _ _ _ _) 
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM True
right_ok0 fm_r key (Branch right_key _ _ _ _) 
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch _ _ size _ _) size

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



If Reductions:
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 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



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
HASKELL
              ↳ BR

mainModule FiniteMap
  ((listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a) :: Ord b => [(b,a)]  ->  FiniteMap b a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


  instance (Eq a, Eq b) => Eq (FiniteMap b a) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt _ _ EmptyFM(key,elt)
findMax (Branch key elt _ _ fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt _ EmptyFM _) (key,elt)
findMin (Branch key elt _ fm_l _) findMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (c  ->  a  ->  b  ->  b ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM z
foldFM k z (Branch key elt _ fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r _ fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l _ fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM True
left_ok0 fm_l key (Branch left_key _ _ _ _) 
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM True
right_ok0 fm_r key (Branch right_key _ _ _ _) 
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch _ _ size _ _) size

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Replaced joker patterns by fresh variables and removed binding patterns.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
HASKELL
                  ↳ COR

mainModule FiniteMap
  ((listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a) :: Ord b => [(b,a)]  ->  FiniteMap b a)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt 
 | new_key < key = 
mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
 | new_key > key = 
mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise = 
Branch new_key (combiner elt new_elt) size fm_l fm_r

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu(key,elt)
findMin (Branch key elt xv fm_l xwfindMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (c  ->  b  ->  a  ->  a ->  a  ->  FiniteMap c b  ->  a
foldFM k z EmptyFM z
foldFM k z (Branch key elt wy fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R 
 | size_l + size_r < 2 = 
mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l = 
mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r = 
mkBalBranch1 fm_L fm_R fm_L
 | otherwise = 
mkBranch 2 key elt fm_L fm_R where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr
 | sizeFM fm_rl < 2 * sizeFM fm_rr = 
single_L fm_L fm_R
 | otherwise = 
double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr
 | sizeFM fm_lr < 2 * sizeFM fm_ll = 
single_R fm_L fm_R
 | otherwise = 
double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM True
left_ok0 fm_l key (Branch left_key vw vx vy vz
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM True
right_ok0 fm_r key (Branch right_key wu wv ww wx
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch xx xy size xz yusize

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Cond Reductions:
The following Function with conditions
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R

is transformed to
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise

mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R

mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

The following Function with conditions
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R

is transformed to
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise

mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R

mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

The following Function with conditions
mkBalBranch key elt fm_L fm_R
 | size_l + size_r < 2
 = mkBranch 1 key elt fm_L fm_R
 | size_r > sIZE_RATIO * size_l
 = mkBalBranch0 fm_L fm_R fm_R
 | size_l > sIZE_RATIO * size_r
 = mkBalBranch1 fm_L fm_R fm_L
 | otherwise
 = mkBranch 2 key elt fm_L fm_R
where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlrfm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
 | sizeFM fm_rl < 2 * sizeFM fm_rr
 = single_L fm_L fm_R
 | otherwise
 = double_L fm_L fm_R
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
 | sizeFM fm_lr < 2 * sizeFM fm_ll
 = single_R fm_L fm_R
 | otherwise
 = double_R fm_L fm_R
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lrfm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

is transformed to
mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R

mkBalBranch6 key elt fm_L fm_R = 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2)
where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlrfm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lrfm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

The following Function with conditions
addToFM_C combiner EmptyFM key elt = unitFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt
 | new_key < key
 = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_eltfm_r
 | new_key > key
 = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
 | otherwise
 = Branch new_key (combiner elt new_eltsize fm_l fm_r

is transformed to
addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt

addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_eltfm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_eltsize fm_l fm_r

addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

addToFM_C4 combiner EmptyFM key elt = unitFM key elt
addToFM_C4 wuu wuv wuw wux = addToFM_C3 wuu wuv wuw wux

The following Function with conditions
compare x y
 | x == y
 = EQ
 | x <= y
 = LT
 | otherwise
 = GT

is transformed to
compare x y = compare3 x y

compare0 x y True = GT

compare2 x y True = EQ
compare2 x y False = compare1 x y (x <= y)

compare1 x y True = LT
compare1 x y False = compare0 x y otherwise

compare3 x y = compare2 x y (x == y)

The following Function with conditions
gcd' x 0 = x
gcd' x y = gcd' y (x `rem` y)

is transformed to
gcd' x wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y

gcd'0 x y = gcd' y (x `rem` y)

gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv

gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

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 wvy wvz = gcd3 wvy wvz
gcd x y = gcd0 x y

gcd0 x y = 
gcd' (abs x) (abs y)
where 
gcd' x wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv
gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

gcd1 True wvy wvz = error []
gcd1 wwu wwv www = gcd0 wwv www

gcd2 True wvy wvz = gcd1 (wvz == 0) wvy wvz
gcd2 wwx wwy wwz = gcd0 wwy wwz

gcd3 wvy wvz = gcd2 (wvy == 0) wvy wvz
gcd3 wxu wxv = gcd0 wxu wxv

The following Function with conditions
absReal x
 | x >= 0
 = x
 | 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
undefined 
 | False
 = undefined

is transformed to
undefined  = undefined1

undefined0 True = undefined

undefined1  = undefined0 False

The following Function with conditions
reduce x y
 | y == 0
 = error []
 | otherwise
 = x `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



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
HASKELL
                      ↳ LetRed

mainModule FiniteMap
  ((listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b) :: Ord a => [(a,b)]  ->  FiniteMap a b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap a b = EmptyFM  | Branch a b Int (FiniteMap a b) (FiniteMap a b


  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs 
foldl add fm key_elt_pairs where 
add fmap (key,eltaddToFM_C combiner fmap key elt

  addToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt unitFM key elt
addToFM_C4 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap a b
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu(key,elt)
findMin (Branch key elt xv fm_l xwfindMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (a  ->  b  ->  c  ->  c ->  c  ->  FiniteMap a b  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt wy fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord a => a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBalBranch key elt fm_L fm_R mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R 
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l sizeFM fm_L
size_r sizeFM fm_R

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r 
let 
result Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
 where 
balance_ok True
left_ok left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM True
left_ok0 fm_l key (Branch left_key vw vx vy vz
let 
biggest_left_key fst (findMax fm_l)
in biggest_left_key < key
left_size sizeFM fm_l
right_ok right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM True
right_ok0 fm_r key (Branch right_key wu wv ww wx
let 
smallest_right_key fst (findMin fm_r)
in key < smallest_right_key
right_size sizeFM fm_r
unbox :: Int  ->  Int
unbox x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch xx xy size xz yusize

  unitFM :: b  ->  a  ->  FiniteMap b a
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Let/Where Reductions:
The bindings of the following Let/Where expression
let 
result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result
where 
balance_ok  = True
left_ok  = left_ok0 fm_l key fm_l
left_ok0 fm_l key EmptyFM = True
left_ok0 fm_l key (Branch left_key vw vx vy vz) = 
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key
left_size  = sizeFM fm_l
right_ok  = right_ok0 fm_r key fm_r
right_ok0 fm_r key EmptyFM = True
right_ok0 fm_r key (Branch right_key wu wv ww wx) = 
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key
right_size  = sizeFM fm_r
unbox x = x

are unpacked to the following functions on top level
mkBranchBalance_ok wxw wxx wxy = True

mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM = True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM = True
mkBranchRight_ok0 wxw wxx wxy fm_r key (Branch right_key wu wv ww wx) = key < mkBranchRight_ok0Smallest_right_key fm_r

mkBranchRight_size wxw wxx wxy = sizeFM wxw

mkBranchRight_ok wxw wxx wxy = mkBranchRight_ok0 wxw wxx wxy wxw wxx wxw

mkBranchLeft_size wxw wxx wxy = sizeFM wxy

mkBranchLeft_ok wxw wxx wxy = mkBranchLeft_ok0 wxw wxx wxy wxy wxx wxy

mkBranchUnbox wxw wxx wxy x = x

The bindings of the following Let/Where expression
let 
result  = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r
in result

are unpacked to the following functions on top level
mkBranchResult wxz wyu wyv wyw = Branch wxz wyu (mkBranchUnbox wyv wxz wyw (1 + mkBranchLeft_size wyv wxz wyw + mkBranchRight_size wyv wxz wyw)) wyw wyv

The bindings of the following Let/Where expression
mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2)
where 
double_L fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlrfm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)
double_R (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r)
mkBalBranch0 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr)
mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr True = double_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr True = single_L fm_L fm_R
mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch00 fm_L fm_R zx zy zz fm_rl fm_rr otherwise
mkBalBranch02 fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch01 fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)
mkBalBranch1 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr)
mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr True = double_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr True = single_R fm_L fm_R
mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch10 fm_L fm_R yy yz zu fm_ll fm_lr otherwise
mkBalBranch12 fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch11 fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)
mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R
mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L
mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise
mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R
mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r)
mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l)
single_L fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rlfm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lrfm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r)
size_l  = sizeFM fm_L
size_r  = sizeFM fm_R

are unpacked to the following functions on top level
mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R

mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv fm_ll fm_lrfm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 wyx wyy fm_lr fm_r)

mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False = mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr) = mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlrfm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 wyx wyy fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True = mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

mkBalBranch6Size_r wyx wyy wyz wzu = sizeFM wyz

mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False = mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 wyx wyy fm_l fm_rlfm_rr

mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True = mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

mkBalBranch6Size_l wyx wyy wyz wzu = sizeFM wzu

mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr) = mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 wyx wyy fm_lrr fm_r)

The bindings of the following Let/Where expression
foldl add fm key_elt_pairs
where 
add fmap (key,elt) = addToFM_C combiner fmap key elt

are unpacked to the following functions on top level
addListToFM_CAdd wzv fmap (key,elt) = addToFM_C wzv fmap key elt

The bindings of the following Let/Where expression
let 
biggest_left_key  = fst (findMax fm_l)
in biggest_left_key < key

are unpacked to the following functions on top level
mkBranchLeft_ok0Biggest_left_key wzw = fst (findMax wzw)

The bindings of the following Let/Where expression
let 
smallest_right_key  = fst (findMin fm_r)
in key < smallest_right_key

are unpacked to the following functions on top level
mkBranchRight_ok0Smallest_right_key wzx = fst (findMin wzx)

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
reduce2Reduce0 wzy wzz x y True = x `quot` reduce2D wzy wzz :% (y `quot` reduce2D wzy wzz)

reduce2D wzy wzz = gcd wzy wzz

reduce2Reduce1 wzy wzz x y True = error []
reduce2Reduce1 wzy wzz x y False = reduce2Reduce0 wzy wzz x y otherwise

The bindings of the following Let/Where expression
gcd' (abs x) (abs y)
where 
gcd' x wuy = gcd'2 x wuy
gcd' x y = gcd'0 x y
gcd'0 x y = gcd' y (x `rem` y)
gcd'1 True x wuy = x
gcd'1 wuz wvu wvv = gcd'0 wvu wvv
gcd'2 x wuy = gcd'1 (wuy == 0) x wuy
gcd'2 wvw wvx = gcd'0 wvw wvx

are unpacked to the following functions on top level
gcd0Gcd'1 True x wuy = x
gcd0Gcd'1 wuz wvu wvv = gcd0Gcd'0 wvu wvv

gcd0Gcd'2 x wuy = gcd0Gcd'1 (wuy == 0) x wuy
gcd0Gcd'2 wvw wvx = gcd0Gcd'0 wvw wvx

gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y)

gcd0Gcd' x wuy = gcd0Gcd'2 x wuy
gcd0Gcd' x y = gcd0Gcd'0 x y



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
HASKELL
                          ↳ NumRed

mainModule FiniteMap
  ((listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b) :: Ord a => [(a,b)]  ->  FiniteMap a b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs foldl (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,eltaddToFM_C wzv fmap key elt

  addToFM_C :: Ord b => (a  ->  a  ->  a ->  FiniteMap b a  ->  b  ->  a  ->  FiniteMap b a
addToFM_C combiner EmptyFM key elt addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt unitFM key elt
addToFM_C4 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap b a
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu(key,elt)
findMin (Branch key elt xv fm_l xwfindMin fm_l

  fmToList :: FiniteMap a b  ->  [(a,b)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (c  ->  a  ->  b  ->  b ->  b  ->  FiniteMap c a  ->  b
foldFM k z EmptyFM z
foldFM k z (Branch key elt wy fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord b => [(b,a)]  ->  FiniteMap b a
listToFM addListToFM emptyFM

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < 2)

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rrmkBranch 5 key_rl elt_rl (mkBranch 6 wyx wyy fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 wyx wyy fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True mkBranch 2 key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

  
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True mkBranch 1 key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

  
mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch 3 key_r elt_r (mkBranch 4 wyx wyy fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv fm_ll fm_lrfm_r mkBranch 8 key_l elt_l fm_ll (mkBranch 9 wyx wyy fm_lr fm_r)

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wzu

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wyz

  mkBranch :: Ord b => Int  ->  b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBranch which key elt fm_l fm_r mkBranchResult key elt fm_r fm_l

  
mkBranchBalance_ok wxw wxx wxy True

  
mkBranchLeft_ok wxw wxx wxy mkBranchLeft_ok0 wxw wxx wxy wxy wxx wxy

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vzmkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzw fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxy

  
mkBranchResult wxz wyu wyv wyw Branch wxz wyu (mkBranchUnbox wyv wxz wyw (1 + mkBranchLeft_size wyv wxz wyw + mkBranchRight_size wyv wxz wyw)) wyw wyv

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxw wxx wxw

  
mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM True
mkBranchRight_ok0 wxw wxx wxy fm_r key (Branch right_key wu wv ww wxkey < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzx fst (findMin wzx)

  
mkBranchRight_size wxw wxx wxy sizeFM wxw

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox wxw wxx wxy x x

  sIZE_RATIO :: Int
sIZE_RATIO 5

  sizeFM :: FiniteMap b a  ->  Int
sizeFM EmptyFM 0
sizeFM (Branch xx xy size xz yusize

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt Branch key elt 1 emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Num Reduction: All numbers are transformed to thier corresponding representation with Pos, Neg, Succ and Zero.

↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
HASKELL
                              ↳ Narrow

mainModule FiniteMap
  (listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b)

module FiniteMap where
  import qualified Maybe
import qualified Prelude

  data FiniteMap b a = EmptyFM  | Branch b a Int (FiniteMap b a) (FiniteMap b a


  instance (Eq a, Eq b) => Eq (FiniteMap a b) where 
   
(==) fm_1 fm_2 sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2

  addListToFM :: Ord b => FiniteMap b a  ->  [(b,a)]  ->  FiniteMap b a
addListToFM fm key_elt_pairs addListToFM_C addListToFM0 fm key_elt_pairs

  
addListToFM0 old new new

  addListToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
addListToFM_C combiner fm key_elt_pairs foldl (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,eltaddToFM_C wzv fmap key elt

  addToFM_C :: Ord a => (b  ->  b  ->  b ->  FiniteMap a b  ->  a  ->  b  ->  FiniteMap a b
addToFM_C combiner EmptyFM key elt addToFM_C4 combiner EmptyFM key elt
addToFM_C combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt

  
addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True Branch new_key (combiner elt new_elt) size fm_l fm_r

  
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)
addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise

  
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r
addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key)

  
addToFM_C3 combiner (Branch key elt size fm_l fm_rnew_key new_elt addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key)

  
addToFM_C4 combiner EmptyFM key elt unitFM key elt
addToFM_C4 wuu wuv wuw wux addToFM_C3 wuu wuv wuw wux

  emptyFM :: FiniteMap a b
emptyFM EmptyFM

  findMax :: FiniteMap b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM(key,elt)
findMax (Branch key elt vux vuy fm_rfindMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu(key,elt)
findMin (Branch key elt xv fm_l xwfindMin fm_l

  fmToList :: FiniteMap b a  ->  [(b,a)]
fmToList fm foldFM fmToList0 [] fm

  
fmToList0 key elt rest (key,elt: rest

  foldFM :: (b  ->  a  ->  c  ->  c ->  c  ->  FiniteMap b a  ->  c
foldFM k z EmptyFM z
foldFM k z (Branch key elt wy fm_l fm_rfoldFM k (k key elt (foldFM k z fm_r)) fm_l

  listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b
listToFM addListToFM emptyFM

  mkBalBranch :: Ord b => b  ->  a  ->  FiniteMap b a  ->  FiniteMap b a  ->  FiniteMap b a
mkBalBranch key elt fm_L fm_R mkBalBranch6 key elt fm_L fm_R

  
mkBalBranch6 key elt fm_L fm_R mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < Pos (Succ (Succ Zero)))

  
mkBalBranch6Double_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_rrmkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) wyx wyy fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr)

  
mkBalBranch6Double_R wyx wyy wyz wzu (Branch key_l elt_l yw fm_ll (Branch key_lr elt_lr yx fm_lrl fm_lrr)) fm_r mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) wyx wyy fm_lrr fm_r)

  
mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rr)

  
mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True mkBalBranch6Double_L wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr True mkBalBranch6Single_L wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr False mkBalBranch6MkBalBranch00 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr otherwise

  
mkBalBranch6MkBalBranch02 wyx wyy wyz wzu fm_L fm_R (Branch zx zy zz fm_rl fm_rrmkBalBranch6MkBalBranch01 wyx wyy wyz wzu fm_L fm_R zx zy zz fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr)

  
mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lr)

  
mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True mkBalBranch6Double_R wyx wyy wyz wzu fm_L fm_R

  
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr True mkBalBranch6Single_R wyx wyy wyz wzu fm_L fm_R
mkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr False mkBalBranch6MkBalBranch10 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr otherwise

  
mkBalBranch6MkBalBranch12 wyx wyy wyz wzu fm_L fm_R (Branch yy yz zu fm_ll fm_lrmkBalBranch6MkBalBranch11 wyx wyy wyz wzu fm_L fm_R yy yz zu fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll)

  
mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R True mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R

  
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R True mkBalBranch6MkBalBranch1 wyx wyy wyz wzu fm_L fm_R fm_L
mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch2 wyx wyy wyz wzu key elt fm_L fm_R otherwise

  
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R True mkBalBranch6MkBalBranch0 wyx wyy wyz wzu fm_L fm_R fm_R
mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch3 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_l wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_r wyx wyy wyz wzu)

  
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R True mkBranch (Pos (Succ Zero)) key elt fm_L fm_R
mkBalBranch6MkBalBranch5 wyx wyy wyz wzu key elt fm_L fm_R False mkBalBranch6MkBalBranch4 wyx wyy wyz wzu key elt fm_L fm_R (mkBalBranch6Size_r wyx wyy wyz wzu > sIZE_RATIO * mkBalBranch6Size_l wyx wyy wyz wzu)

  
mkBalBranch6Single_L wyx wyy wyz wzu fm_l (Branch key_r elt_r vuu fm_rl fm_rrmkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) wyx wyy fm_l fm_rl) fm_rr

  
mkBalBranch6Single_R wyx wyy wyz wzu (Branch key_l elt_l yv fm_ll fm_lrfm_r mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) key_l elt_l fm_ll (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) wyx wyy fm_lr fm_r)

  
mkBalBranch6Size_l wyx wyy wyz wzu sizeFM wzu

  
mkBalBranch6Size_r wyx wyy wyz wzu sizeFM wyz

  mkBranch :: Ord a => Int  ->  a  ->  b  ->  FiniteMap a b  ->  FiniteMap a b  ->  FiniteMap a b
mkBranch which key elt fm_l fm_r mkBranchResult key elt fm_r fm_l

  
mkBranchBalance_ok wxw wxx wxy True

  
mkBranchLeft_ok wxw wxx wxy mkBranchLeft_ok0 wxw wxx wxy wxy wxx wxy

  
mkBranchLeft_ok0 wxw wxx wxy fm_l key EmptyFM True
mkBranchLeft_ok0 wxw wxx wxy fm_l key (Branch left_key vw vx vy vzmkBranchLeft_ok0Biggest_left_key fm_l < key

  
mkBranchLeft_ok0Biggest_left_key wzw fst (findMax wzw)

  
mkBranchLeft_size wxw wxx wxy sizeFM wxy

  
mkBranchResult wxz wyu wyv wyw Branch wxz wyu (mkBranchUnbox wyv wxz wyw (Pos (Succ Zero+ mkBranchLeft_size wyv wxz wyw + mkBranchRight_size wyv wxz wyw)) wyw wyv

  
mkBranchRight_ok wxw wxx wxy mkBranchRight_ok0 wxw wxx wxy wxw wxx wxw

  
mkBranchRight_ok0 wxw wxx wxy fm_r key EmptyFM True
mkBranchRight_ok0 wxw wxx wxy fm_r key (Branch right_key wu wv ww wxkey < mkBranchRight_ok0Smallest_right_key fm_r

  
mkBranchRight_ok0Smallest_right_key wzx fst (findMin wzx)

  
mkBranchRight_size wxw wxx wxy sizeFM wxw

  mkBranchUnbox :: Ord a =>  ->  (FiniteMap a b) ( ->  a ( ->  (FiniteMap a b) (Int  ->  Int)))
mkBranchUnbox wxw wxx wxy x x

  sIZE_RATIO :: Int
sIZE_RATIO Pos (Succ (Succ (Succ (Succ (Succ Zero)))))

  sizeFM :: FiniteMap a b  ->  Int
sizeFM EmptyFM Pos Zero
sizeFM (Branch xx xy size xz yusize

  unitFM :: a  ->  b  ->  FiniteMap a b
unitFM key elt Branch key elt (Pos (Succ Zero)) emptyFM emptyFM


module Maybe where
  import qualified FiniteMap
import qualified Prelude



Haskell To QDPs


↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primEqNat(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat(xuu31100000, xuu60000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primCmpNat(Succ(xuu3110000), Succ(xuu6000)) → new_primCmpNat(xuu3110000, xuu6000)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primMinusNat(Succ(xuu42200), Succ(xuu12900)) → new_primMinusNat(xuu42200, xuu12900)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primPlusNat(Succ(xuu42200), Succ(xuu12900)) → new_primPlusNat(xuu42200, xuu12900)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_primMulNat(Succ(xuu31100000), Succ(xuu60000)) → new_primMulNat(xuu31100000, Succ(xuu60000))

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, bc, app(ty_[], ec)) → new_esEs1(xuu3110002, xuu6002, ec)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(ty_Either, be), bf), bc, bd) → new_esEs0(xuu3110000, xuu6000, be, bf)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, bc, app(app(ty_Either, ea), eb)) → new_esEs0(xuu3110002, xuu6002, ea, eb)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, baf), bag), bah)) → new_esEs(xuu3110000, xuu6000, baf, bag, bah)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(ty_Maybe, bdh)) → new_esEs2(xuu3110001, xuu6001, bdh)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(ty_Maybe, bh), bc, bd) → new_esEs2(xuu3110000, xuu6000, bh)
new_esEs0(Right(xuu3110000), Right(xuu6000), gb, app(app(app(ty_@3, gc), gd), ge)) → new_esEs(xuu3110000, xuu6000, gc, gd, ge)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, bc, app(ty_Maybe, ed)) → new_esEs2(xuu3110002, xuu6002, ed)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(app(ty_@3, bbg), bbh), bca), bcb) → new_esEs(xuu3110000, xuu6000, bbg, bbh, bca)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, app(ty_Maybe, dc), bd) → new_esEs2(xuu3110001, xuu6001, dc)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), bae) → new_esEs1(xuu3110001, xuu6001, bae)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, app(ty_[], db), bd) → new_esEs1(xuu3110001, xuu6001, db)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(ty_[], baa)) → new_esEs1(xuu3110000, xuu6000, baa)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(app(ty_@3, h), ba), bb), bc, bd) → new_esEs(xuu3110000, xuu6000, h, ba, bb)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(ty_[], bdg)) → new_esEs1(xuu3110001, xuu6001, bdg)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(ty_[], bbc)) → new_esEs1(xuu3110000, xuu6000, bbc)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, bbd)) → new_esEs2(xuu3110000, xuu6000, bbd)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, fc), fd), fb) → new_esEs0(xuu3110000, xuu6000, fc, fd)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, bc, app(app(ty_@2, ee), ef)) → new_esEs3(xuu3110002, xuu6002, ee, ef)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(ty_[], bce), bcb) → new_esEs1(xuu3110000, xuu6000, bce)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(app(ty_Either, bde), bdf)) → new_esEs0(xuu3110001, xuu6001, bde, bdf)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(ty_[], bg), bc, bd) → new_esEs1(xuu3110000, xuu6000, bg)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(app(app(ty_@3, bdb), bdc), bdd)) → new_esEs(xuu3110001, xuu6001, bdb, bdc, bdd)
new_esEs0(Right(xuu3110000), Right(xuu6000), gb, app(app(ty_Either, gf), gg)) → new_esEs0(xuu3110000, xuu6000, gf, gg)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, fg), fb) → new_esEs2(xuu3110000, xuu6000, fg)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(app(ty_@2, bea), beb)) → new_esEs3(xuu3110001, xuu6001, bea, beb)
new_esEs0(Right(xuu3110000), Right(xuu6000), gb, app(ty_Maybe, ha)) → new_esEs2(xuu3110000, xuu6000, ha)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, app(app(ty_Either, cg), da), bd) → new_esEs0(xuu3110001, xuu6001, cg, da)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(ty_@2, bac), bad)) → new_esEs3(xuu3110000, xuu6000, bac, bad)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(ty_Maybe, bcf), bcb) → new_esEs2(xuu3110000, xuu6000, bcf)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(ty_@2, ca), cb), bc, bd) → new_esEs3(xuu3110000, xuu6000, ca, cb)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(ty_Either, hg), hh)) → new_esEs0(xuu3110000, xuu6000, hg, hh)
new_esEs0(Right(xuu3110000), Right(xuu6000), gb, app(ty_[], gh)) → new_esEs1(xuu3110000, xuu6000, gh)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, app(app(app(ty_@3, cd), ce), cf), bd) → new_esEs(xuu3110001, xuu6001, cd, ce, cf)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(ty_Maybe, bab)) → new_esEs2(xuu3110000, xuu6000, bab)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(ty_[], ff), fb) → new_esEs1(xuu3110000, xuu6000, ff)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(ty_@2, bcg), bch), bcb) → new_esEs3(xuu3110000, xuu6000, bcg, bch)
new_esEs0(Right(xuu3110000), Right(xuu6000), gb, app(app(ty_@2, hb), hc)) → new_esEs3(xuu3110000, xuu6000, hb, hc)
new_esEs1(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(app(ty_@3, hd), he), hf)) → new_esEs(xuu3110000, xuu6000, hd, he, hf)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, bbe), bbf)) → new_esEs3(xuu3110000, xuu6000, bbe, bbf)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(ty_Either, bcc), bcd), bcb) → new_esEs0(xuu3110000, xuu6000, bcc, bcd)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, eg), eh), fa), fb) → new_esEs(xuu3110000, xuu6000, eg, eh, fa)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, bba), bbb)) → new_esEs0(xuu3110000, xuu6000, bba, bbb)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, fh), ga), fb) → new_esEs3(xuu3110000, xuu6000, fh, ga)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, app(app(ty_@2, dd), de), bd) → new_esEs3(xuu3110001, xuu6001, dd, de)
new_esEs(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cc, bc, app(app(app(ty_@3, df), dg), dh)) → new_esEs(xuu3110002, xuu6002, df, dg, dh)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, cb), app(ty_Maybe, da)), bce) → new_ltEs2(xuu641, xuu651, da)
new_compare20(Right(xuu640), Right(xuu650), False, app(app(ty_Either, hf), app(app(ty_Either, baa), bab)), bce) → new_ltEs0(xuu640, xuu650, baa, bab)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, app(app(ty_Either, cbf), cbg), cbd, cbe) → new_lt0(xuu94, xuu97, cbf, cbg)
new_ltEs0(Left(xuu640), Left(xuu650), app(app(app(ty_@3, hc), hd), he), gf) → new_ltEs3(xuu640, xuu650, hc, hd, he)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, app(app(ty_Either, bec), bed)), bea), beb), bce) → new_lt0(xuu640, xuu650, bec, bed)
new_compare0(:(xuu311000, xuu311001), :(xuu600, xuu601), bba) → new_compare0(xuu311001, xuu601, bba)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, app(ty_Maybe, da)) → new_ltEs2(xuu641, xuu651, da)
new_compare20(Just(xuu640), Just(xuu650), False, app(ty_Maybe, app(app(ty_Either, bch), bda)), bce) → new_ltEs0(xuu640, xuu650, bch, bda)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), app(app(ty_@2, bdg), bdh), bea, beb) → new_lt(xuu640, xuu650, bdg, bdh)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, cb), app(ty_[], cg)), bce) → new_ltEs1(xuu641, xuu651, cg)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), app(app(app(ty_@3, bg), bh), ca), bb) → new_lt3(xuu640, xuu650, bg, bh, ca)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, app(app(ty_Either, cch), cda), cbe) → new_lt0(xuu95, xuu98, cch, cda)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, app(app(ty_Either, bc), bd)), bb), bce) → new_lt0(xuu640, xuu650, bc, bd)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, app(app(ty_Either, fd), ff), fc) → new_lt0(xuu109, xuu111, fd, ff)
new_ltEs0(Left(xuu640), Left(xuu650), app(ty_[], ha), gf) → new_ltEs1(xuu640, xuu650, ha)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), app(ty_[], bfg)), beb), bce) → new_lt1(xuu641, xuu651, bfg)
new_compare22(xuu83, xuu84, False, app(ty_Maybe, cac)) → new_ltEs2(xuu83, xuu84, cac)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), bea), app(app(app(ty_@3, bhb), bhc), bhd)), bce) → new_ltEs3(xuu642, xuu652, bhb, bhc, bhd)
new_compare21(xuu71, xuu72, False, ceh, app(ty_Maybe, cff)) → new_ltEs2(xuu71, xuu72, cff)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, app(app(ty_Either, bgf), bgg)) → new_ltEs0(xuu642, xuu652, bgf, bgg)
new_compare21(xuu71, xuu72, False, ceh, app(app(ty_@2, cfa), cfb)) → new_ltEs(xuu71, xuu72, cfa, cfb)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), app(app(ty_@2, bfc), bfd)), beb), bce) → new_lt(xuu641, xuu651, bfc, bfd)
new_compare4(Just(xuu311000), Just(xuu600), bhe) → new_compare22(xuu311000, xuu600, new_esEs8(xuu311000, xuu600, bhe), bhe)
new_compare22(xuu83, xuu84, False, app(app(app(ty_@3, cad), cae), caf)) → new_ltEs3(xuu83, xuu84, cad, cae, caf)
new_compare21(xuu71, xuu72, False, ceh, app(app(ty_Either, cfc), cfd)) → new_ltEs0(xuu71, xuu72, cfc, cfd)
new_compare20(Right(xuu640), Right(xuu650), False, app(app(ty_Either, hf), app(ty_[], bac)), bce) → new_ltEs1(xuu640, xuu650, bac)
new_primCompAux(xuu311000, xuu600, xuu48, app(app(ty_@2, bbb), bbc)) → new_compare(xuu311000, xuu600, bbb, bbc)
new_lt0(Right(xuu311000), Right(xuu600), bcc, bcd) → new_compare21(xuu311000, xuu600, new_esEs7(xuu311000, xuu600, bcd), bcc, bcd)
new_ltEs2(Just(xuu640), Just(xuu650), app(ty_[], bdb)) → new_ltEs1(xuu640, xuu650, bdb)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), app(ty_Maybe, bfh)), beb), bce) → new_lt2(xuu641, xuu651, bfh)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, app(app(app(ty_@3, cdd), cde), cdf), cbe) → new_lt3(xuu95, xuu98, cdd, cde, cdf)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), bea), app(ty_[], bgh)), bce) → new_ltEs1(xuu642, xuu652, bgh)
new_ltEs2(Just(xuu640), Just(xuu650), app(app(app(ty_@3, bdd), bde), bdf)) → new_ltEs3(xuu640, xuu650, bdd, bde, bdf)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, app(app(ty_@2, bgd), bge)) → new_ltEs(xuu642, xuu652, bgd, bge)
new_compare22(xuu83, xuu84, False, app(ty_[], cab)) → new_ltEs1(xuu83, xuu84, cab)
new_ltEs0(Right(xuu640), Right(xuu650), hf, app(app(ty_Either, baa), bab)) → new_ltEs0(xuu640, xuu650, baa, bab)
new_ltEs0(Right(xuu640), Right(xuu650), hf, app(ty_Maybe, bad)) → new_ltEs2(xuu640, xuu650, bad)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, app(app(ty_@2, h), ba)), bb), bce) → new_lt(xuu640, xuu650, h, ba)
new_compare20(Right(xuu640), Right(xuu650), False, app(app(ty_Either, hf), app(app(ty_@2, hg), hh)), bce) → new_ltEs(xuu640, xuu650, hg, hh)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), app(app(app(ty_@3, bga), bgb), bgc)), beb), bce) → new_lt3(xuu641, xuu651, bga, bgb, bgc)
new_compare20(Just(xuu640), Just(xuu650), False, app(ty_Maybe, app(app(ty_@2, bcf), bcg)), bce) → new_ltEs(xuu640, xuu650, bcf, bcg)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, app(ty_Maybe, fh), fc) → new_lt2(xuu109, xuu111, fh)
new_primCompAux(xuu311000, xuu600, xuu48, app(app(app(ty_@3, bbh), bca), bcb)) → new_compare5(xuu311000, xuu600, bbh, bca, bcb)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), app(app(ty_Either, bc), bd), bb) → new_lt0(xuu640, xuu650, bc, bd)
new_compare21(xuu71, xuu72, False, ceh, app(app(app(ty_@3, cfg), cfh), cga)) → new_ltEs3(xuu71, xuu72, cfg, cfh, cga)
new_ltEs0(Left(xuu640), Left(xuu650), app(ty_Maybe, hb), gf) → new_ltEs2(xuu640, xuu650, hb)
new_primCompAux(xuu311000, xuu600, xuu48, app(app(ty_Either, bbd), bbe)) → new_compare3(xuu311000, xuu600, bbd, bbe)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, app(app(ty_@2, cc), cd)) → new_ltEs(xuu641, xuu651, cc, cd)
new_compare21(xuu71, xuu72, False, ceh, app(ty_[], cfe)) → new_ltEs1(xuu71, xuu72, cfe)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, app(app(app(ty_@3, bga), bgb), bgc), beb) → new_lt3(xuu641, xuu651, bga, bgb, bgc)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, app(app(app(ty_@3, beg), beh), bfa)), bea), beb), bce) → new_lt3(xuu640, xuu650, beg, beh, bfa)
new_compare0(:(xuu311000, xuu311001), :(xuu600, xuu601), bba) → new_primCompAux(xuu311000, xuu600, new_compare1(xuu311001, xuu601, bba), bba)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, app(app(ty_Either, ce), cf)) → new_ltEs0(xuu641, xuu651, ce, cf)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), bea), app(app(ty_@2, bgd), bge)), bce) → new_ltEs(xuu642, xuu652, bgd, bge)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, app(ty_[], bgh)) → new_ltEs1(xuu642, xuu652, bgh)
new_compare20(Left(xuu640), Left(xuu650), False, app(app(ty_Either, app(ty_[], ha)), gf), bce) → new_ltEs1(xuu640, xuu650, ha)
new_lt0(Left(xuu311000), Left(xuu600), bcc, bcd) → new_compare20(xuu311000, xuu600, new_esEs6(xuu311000, xuu600, bcc), bcc, bcd)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, cb), app(app(app(ty_@3, db), dc), dd)), bce) → new_ltEs3(xuu641, xuu651, db, dc, dd)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), app(app(ty_Either, bec), bed), bea, beb) → new_lt0(xuu640, xuu650, bec, bed)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, app(ty_Maybe, bef)), bea), beb), bce) → new_lt2(xuu640, xuu650, bef)
new_lt(@2(xuu311000, xuu311001), @2(xuu600, xuu601), de, df) → new_compare2(xuu311000, xuu311001, xuu600, xuu601, new_asAs(new_esEs4(xuu311000, xuu600, de), new_esEs5(xuu311001, xuu601, df)), de, df)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, dg, app(ty_Maybe, ee)) → new_ltEs2(xuu110, xuu112, ee)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, app(app(app(ty_@3, bg), bh), ca)), bb), bce) → new_lt3(xuu640, xuu650, bg, bh, ca)
new_compare20(Left(xuu640), Left(xuu650), False, app(app(ty_Either, app(app(app(ty_@3, hc), hd), he)), gf), bce) → new_ltEs3(xuu640, xuu650, hc, hd, he)
new_ltEs0(Right(xuu640), Right(xuu650), hf, app(app(app(ty_@3, bae), baf), bag)) → new_ltEs3(xuu640, xuu650, bae, baf, bag)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, app(ty_[], cg)) → new_ltEs1(xuu641, xuu651, cg)
new_lt1(:(xuu311000, xuu311001), :(xuu600, xuu601), bba) → new_primCompAux(xuu311000, xuu600, new_compare1(xuu311001, xuu601, bba), bba)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, app(ty_Maybe, ced)) → new_ltEs2(xuu96, xuu99, ced)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, dg, app(app(ty_@2, dh), ea)) → new_ltEs(xuu110, xuu112, dh, ea)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), bea), app(app(ty_Either, bgf), bgg)), bce) → new_ltEs0(xuu642, xuu652, bgf, bgg)
new_ltEs2(Just(xuu640), Just(xuu650), app(app(ty_Either, bch), bda)) → new_ltEs0(xuu640, xuu650, bch, bda)
new_compare20(Right(xuu640), Right(xuu650), False, app(app(ty_Either, hf), app(ty_Maybe, bad)), bce) → new_ltEs2(xuu640, xuu650, bad)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, app(ty_Maybe, cca), cbd, cbe) → new_lt2(xuu94, xuu97, cca)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), app(ty_Maybe, bf), bb) → new_lt2(xuu640, xuu650, bf)
new_compare20(Just(xuu640), Just(xuu650), False, app(ty_Maybe, app(ty_Maybe, bdc)), bce) → new_ltEs2(xuu640, xuu650, bdc)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, app(ty_Maybe, bf)), bb), bce) → new_lt2(xuu640, xuu650, bf)
new_compare20(Left(xuu640), Left(xuu650), False, app(app(ty_Either, app(ty_Maybe, hb)), gf), bce) → new_ltEs2(xuu640, xuu650, hb)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), bea), app(ty_Maybe, bha)), bce) → new_ltEs2(xuu642, xuu652, bha)
new_ltEs0(Left(xuu640), Left(xuu650), app(app(ty_Either, gg), gh), gf) → new_ltEs0(xuu640, xuu650, gg, gh)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, app(app(app(ty_@3, cee), cef), ceg)) → new_ltEs3(xuu96, xuu99, cee, cef, ceg)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, app(app(app(ty_@3, ga), gb), gc), fc) → new_lt3(xuu109, xuu111, ga, gb, gc)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), app(ty_Maybe, bef), bea, beb) → new_lt2(xuu640, xuu650, bef)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), app(app(ty_@2, h), ba), bb) → new_lt(xuu640, xuu650, h, ba)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, bfb), app(app(ty_Either, bfe), bff)), beb), bce) → new_lt0(xuu641, xuu651, bfe, bff)
new_ltEs0(Right(xuu640), Right(xuu650), hf, app(app(ty_@2, hg), hh)) → new_ltEs(xuu640, xuu650, hg, hh)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, app(ty_Maybe, bha)) → new_ltEs2(xuu642, xuu652, bha)
new_primCompAux(xuu311000, xuu600, xuu48, app(ty_[], bbf)) → new_compare0(xuu311000, xuu600, bbf)
new_compare5(@3(xuu311000, xuu311001, xuu311002), @3(xuu600, xuu601, xuu602), cag, cah, cba) → new_compare23(xuu311000, xuu311001, xuu311002, xuu600, xuu601, xuu602, new_asAs(new_esEs9(xuu311000, xuu600, cag), new_asAs(new_esEs10(xuu311001, xuu601, cah), new_esEs11(xuu311002, xuu602, cba))), cag, cah, cba)
new_compare22(xuu83, xuu84, False, app(app(ty_Either, bhh), caa)) → new_ltEs0(xuu83, xuu84, bhh, caa)
new_lt2(Just(xuu311000), Just(xuu600), bhe) → new_compare22(xuu311000, xuu600, new_esEs8(xuu311000, xuu600, bhe), bhe)
new_ltEs0(Left(xuu640), Left(xuu650), app(app(ty_@2, gd), ge), gf) → new_ltEs(xuu640, xuu650, gd, ge)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, cb), app(app(ty_@2, cc), cd)), bce) → new_ltEs(xuu641, xuu651, cc, cd)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), app(ty_[], be), bb) → new_lt1(xuu640, xuu650, be)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, app(ty_[], be)), bb), bce) → new_lt1(xuu640, xuu650, be)
new_compare(@2(xuu311000, xuu311001), @2(xuu600, xuu601), de, df) → new_compare2(xuu311000, xuu311001, xuu600, xuu601, new_asAs(new_esEs4(xuu311000, xuu600, de), new_esEs5(xuu311001, xuu601, df)), de, df)
new_ltEs(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, app(app(app(ty_@3, db), dc), dd)) → new_ltEs3(xuu641, xuu651, db, dc, dd)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, app(app(ty_@2, bdg), bdh)), bea), beb), bce) → new_lt(xuu640, xuu650, bdg, bdh)
new_compare20(Right(xuu640), Right(xuu650), False, app(app(ty_Either, hf), app(app(app(ty_@3, bae), baf), bag)), bce) → new_ltEs3(xuu640, xuu650, bae, baf, bag)
new_compare3(Left(xuu311000), Left(xuu600), bcc, bcd) → new_compare20(xuu311000, xuu600, new_esEs6(xuu311000, xuu600, bcc), bcc, bcd)
new_compare20(xuu64, xuu65, False, app(ty_[], bah), bce) → new_compare0(xuu64, xuu65, bah)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, app(app(ty_@2, ccf), ccg), cbe) → new_lt(xuu95, xuu98, ccf, ccg)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, app(app(ty_@2, cdg), cdh)) → new_ltEs(xuu96, xuu99, cdg, cdh)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, app(ty_[], cbh), cbd, cbe) → new_lt1(xuu94, xuu97, cbh)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, app(ty_Maybe, cdc), cbe) → new_lt2(xuu95, xuu98, cdc)
new_compare20(Just(xuu640), Just(xuu650), False, app(ty_Maybe, app(ty_[], bdb)), bce) → new_ltEs1(xuu640, xuu650, bdb)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, app(app(ty_@2, bfc), bfd), beb) → new_lt(xuu641, xuu651, bfc, bfd)
new_ltEs2(Just(xuu640), Just(xuu650), app(app(ty_@2, bcf), bcg)) → new_ltEs(xuu640, xuu650, bcf, bcg)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, app(app(app(ty_@3, bhb), bhc), bhd)) → new_ltEs3(xuu642, xuu652, bhb, bhc, bhd)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), app(ty_[], bee), bea, beb) → new_lt1(xuu640, xuu650, bee)
new_compare20(Left(xuu640), Left(xuu650), False, app(app(ty_Either, app(app(ty_@2, gd), ge)), gf), bce) → new_ltEs(xuu640, xuu650, gd, ge)
new_compare3(Right(xuu311000), Right(xuu600), bcc, bcd) → new_compare21(xuu311000, xuu600, new_esEs7(xuu311000, xuu600, bcd), bcc, bcd)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, app(ty_[], cec)) → new_ltEs1(xuu96, xuu99, cec)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), app(app(app(ty_@3, beg), beh), bfa), bea, beb) → new_lt3(xuu640, xuu650, beg, beh, bfa)
new_ltEs2(Just(xuu640), Just(xuu650), app(ty_Maybe, bdc)) → new_ltEs2(xuu640, xuu650, bdc)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, dg, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs3(xuu110, xuu112, ef, eg, eh)
new_lt1(:(xuu311000, xuu311001), :(xuu600, xuu601), bba) → new_compare0(xuu311001, xuu601, bba)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, dg, app(app(ty_Either, eb), ec)) → new_ltEs0(xuu110, xuu112, eb, ec)
new_ltEs0(Right(xuu640), Right(xuu650), hf, app(ty_[], bac)) → new_ltEs1(xuu640, xuu650, bac)
new_compare20(@2(xuu640, xuu641), @2(xuu650, xuu651), False, app(app(ty_@2, cb), app(app(ty_Either, ce), cf)), bce) → new_ltEs0(xuu641, xuu651, ce, cf)
new_compare22(xuu83, xuu84, False, app(app(ty_@2, bhf), bhg)) → new_ltEs(xuu83, xuu84, bhf, bhg)
new_ltEs1(xuu64, xuu65, bah) → new_compare0(xuu64, xuu65, bah)
new_lt3(@3(xuu311000, xuu311001, xuu311002), @3(xuu600, xuu601, xuu602), cag, cah, cba) → new_compare23(xuu311000, xuu311001, xuu311002, xuu600, xuu601, xuu602, new_asAs(new_esEs9(xuu311000, xuu600, cag), new_asAs(new_esEs10(xuu311001, xuu601, cah), new_esEs11(xuu311002, xuu602, cba))), cag, cah, cba)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, app(app(ty_Either, bfe), bff), beb) → new_lt0(xuu641, xuu651, bfe, bff)
new_primCompAux(xuu311000, xuu600, xuu48, app(ty_Maybe, bbg)) → new_compare4(xuu311000, xuu600, bbg)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, app(app(app(ty_@3, ccb), ccc), ccd), cbd, cbe) → new_lt3(xuu94, xuu97, ccb, ccc, ccd)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, app(ty_[], fg), fc) → new_lt1(xuu109, xuu111, fg)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, dg, app(ty_[], ed)) → new_ltEs1(xuu110, xuu112, ed)
new_compare20(Left(xuu640), Left(xuu650), False, app(app(ty_Either, app(app(ty_Either, gg), gh)), gf), bce) → new_ltEs0(xuu640, xuu650, gg, gh)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, app(ty_Maybe, bfh), beb) → new_lt2(xuu641, xuu651, bfh)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, app(app(ty_@2, cbb), cbc), cbd, cbe) → new_lt(xuu94, xuu97, cbb, cbc)
new_compare20(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), False, app(app(app(ty_@3, app(ty_[], bee)), bea), beb), bce) → new_lt1(xuu640, xuu650, bee)
new_compare2(xuu109, xuu110, xuu111, xuu112, False, app(app(ty_@2, fa), fb), fc) → new_lt(xuu109, xuu111, fa, fb)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, app(app(ty_Either, cea), ceb)) → new_ltEs0(xuu96, xuu99, cea, ceb)
new_ltEs3(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, app(ty_[], bfg), beb) → new_lt1(xuu641, xuu651, bfg)
new_compare20(Just(xuu640), Just(xuu650), False, app(ty_Maybe, app(app(app(ty_@3, bdd), bde), bdf)), bce) → new_ltEs3(xuu640, xuu650, bdd, bde, bdf)
new_compare23(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, app(ty_[], cdb), cbe) → new_lt1(xuu95, xuu98, cdb)

The TRS R consists of the following rules:

new_esEs9(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt7(xuu641, xuu651, ty_Int) → new_lt10(xuu641, xuu651)
new_lt6(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_esEs37(xuu3110002, xuu6002, ty_Bool) → new_esEs26(xuu3110002, xuu6002)
new_esEs38(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, ty_Int) → new_ltEs9(xuu83, xuu84)
new_lt21(xuu94, xuu97, ty_Float) → new_lt5(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_esEs7(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt7(xuu641, xuu651, ty_Ordering) → new_lt4(xuu641, xuu651)
new_esEs7(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Integer) → new_esEs18(xuu311002, xuu602)
new_esEs28(xuu641, xuu651, ty_Char) → new_esEs13(xuu641, xuu651)
new_ltEs22(xuu96, xuu99, ty_Int) → new_ltEs9(xuu96, xuu99)
new_ltEs12(Just(xuu640), Just(xuu650), ty_@0) → new_ltEs18(xuu640, xuu650)
new_lt20(xuu109, xuu111, ty_Int) → new_lt10(xuu109, xuu111)
new_ltEs24(xuu641, xuu651, app(app(ty_@2, cc), cd)) → new_ltEs7(xuu641, xuu651, cc, cd)
new_lt22(xuu95, xuu98, ty_Int) → new_lt10(xuu95, xuu98)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_[], edh), dca) → new_esEs21(xuu3110000, xuu6000, edh)
new_lt20(xuu109, xuu111, app(ty_Ratio, dbc)) → new_lt16(xuu109, xuu111, dbc)
new_esEs8(xuu311000, xuu600, app(app(app(ty_@3, cgb), cgc), cgd)) → new_esEs15(xuu311000, xuu600, cgb, cgc, cgd)
new_lt20(xuu109, xuu111, ty_Char) → new_lt11(xuu109, xuu111)
new_lt6(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_esEs6(xuu311000, xuu600, app(ty_Maybe, fea)) → new_esEs22(xuu311000, xuu600, fea)
new_esEs38(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_ltEs8(Left(xuu640), Left(xuu650), ty_@0, gf) → new_ltEs18(xuu640, xuu650)
new_esEs28(xuu641, xuu651, ty_Int) → new_esEs14(xuu641, xuu651)
new_ltEs19(xuu110, xuu112, ty_Float) → new_ltEs4(xuu110, xuu112)
new_compare8(Nothing, Just(xuu600), bhe) → LT
new_esEs10(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_lt10(xuu31100, xuu60) → new_esEs12(new_compare10(xuu31100, xuu60))
new_ltEs8(Left(xuu640), Left(xuu650), ty_Float, gf) → new_ltEs4(xuu640, xuu650)
new_esEs29(xuu3110000, xuu6000, app(ty_[], daf)) → new_esEs21(xuu3110000, xuu6000, daf)
new_ltEs21(xuu71, xuu72, ty_Char) → new_ltEs10(xuu71, xuu72)
new_compare6(EQ, EQ) → EQ
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_@0) → new_ltEs18(xuu640, xuu650)
new_ltEs20(xuu83, xuu84, app(ty_Ratio, dhg)) → new_ltEs15(xuu83, xuu84, dhg)
new_ltEs12(Nothing, Nothing, dhd) → True
new_esEs26(True, True) → True
new_primMulNat0(Zero, Zero) → Zero
new_esEs36(xuu3110001, xuu6001, app(app(ty_Either, fbb), fbc)) → new_esEs16(xuu3110001, xuu6001, fbb, fbc)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare19(xuu166, xuu167, xuu168, xuu169, False, dge, dgf) → GT
new_esEs4(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_@0) → new_esEs19(xuu95, xuu98)
new_esEs5(xuu311001, xuu601, app(ty_Maybe, ddd)) → new_esEs22(xuu311001, xuu601, ddd)
new_ltEs21(xuu71, xuu72, ty_Float) → new_ltEs4(xuu71, xuu72)
new_esEs39(xuu3110001, xuu6001, app(ty_[], fge)) → new_esEs21(xuu3110001, xuu6001, fge)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_ltEs24(xuu641, xuu651, ty_Integer) → new_ltEs17(xuu641, xuu651)
new_ltEs6(xuu642, xuu652, app(app(app(ty_@3, bhb), bhc), bhd)) → new_ltEs5(xuu642, xuu652, bhb, bhc, bhd)
new_esEs8(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_lt20(xuu109, xuu111, ty_Integer) → new_lt18(xuu109, xuu111)
new_esEs7(xuu311000, xuu600, app(app(ty_Either, dec), ded)) → new_esEs16(xuu311000, xuu600, dec, ded)
new_esEs30(xuu109, xuu111, app(ty_Ratio, dbc)) → new_esEs25(xuu109, xuu111, dbc)
new_ltEs16(False, True) → True
new_ltEs24(xuu641, xuu651, ty_Bool) → new_ltEs16(xuu641, xuu651)
new_lt20(xuu109, xuu111, app(app(ty_@2, fa), fb)) → new_lt8(xuu109, xuu111, fa, fb)
new_lt20(xuu109, xuu111, app(ty_Maybe, fh)) → new_lt13(xuu109, xuu111, fh)
new_compare30(xuu311000, xuu600, ty_Char) → new_compare26(xuu311000, xuu600)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(ty_Ratio, faf)) → new_esEs25(xuu3110000, xuu6000, faf)
new_ltEs16(True, False) → False
new_compare1([], :(xuu600, xuu601), bba) → LT
new_esEs10(xuu311001, xuu601, app(ty_Ratio, ecg)) → new_esEs25(xuu311001, xuu601, ecg)
new_ltEs19(xuu110, xuu112, ty_Bool) → new_ltEs16(xuu110, xuu112)
new_ltEs22(xuu96, xuu99, ty_Double) → new_ltEs14(xuu96, xuu99)
new_lt20(xuu109, xuu111, ty_Double) → new_lt14(xuu109, xuu111)
new_esEs36(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs40(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(app(app(ty_@3, fag), fah), fba)) → new_esEs15(xuu3110001, xuu6001, fag, fah, fba)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(ty_[], efb)) → new_esEs21(xuu3110000, xuu6000, efb)
new_esEs7(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_compare30(xuu311000, xuu600, ty_Bool) → new_compare14(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Char, gf) → new_ltEs10(xuu640, xuu650)
new_esEs7(xuu311000, xuu600, app(ty_Maybe, def)) → new_esEs22(xuu311000, xuu600, def)
new_ltEs13(LT, EQ) → True
new_esEs8(xuu311000, xuu600, app(ty_Ratio, chc)) → new_esEs25(xuu311000, xuu600, chc)
new_ltEs24(xuu641, xuu651, ty_Int) → new_ltEs9(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Double) → new_esEs23(xuu311002, xuu602)
new_lt6(xuu640, xuu650, app(app(ty_@2, bdg), bdh)) → new_lt8(xuu640, xuu650, bdg, bdh)
new_esEs30(xuu109, xuu111, app(app(ty_Either, fd), ff)) → new_esEs16(xuu109, xuu111, fd, ff)
new_ltEs22(xuu96, xuu99, app(app(ty_Either, cea), ceb)) → new_ltEs8(xuu96, xuu99, cea, ceb)
new_ltEs22(xuu96, xuu99, app(app(app(ty_@3, cee), cef), ceg)) → new_ltEs5(xuu96, xuu99, cee, cef, ceg)
new_esEs8(xuu311000, xuu600, app(app(ty_Either, cge), cgf)) → new_esEs16(xuu311000, xuu600, cge, cgf)
new_esEs28(xuu641, xuu651, ty_Bool) → new_esEs26(xuu641, xuu651)
new_esEs37(xuu3110002, xuu6002, ty_Integer) → new_esEs18(xuu3110002, xuu6002)
new_esEs11(xuu311002, xuu602, app(app(ty_Either, dff), dfg)) → new_esEs16(xuu311002, xuu602, dff, dfg)
new_ltEs6(xuu642, xuu652, app(ty_Ratio, chf)) → new_ltEs15(xuu642, xuu652, chf)
new_esEs28(xuu641, xuu651, app(ty_Ratio, che)) → new_esEs25(xuu641, xuu651, che)
new_esEs29(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs9(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs10(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_ltEs19(xuu110, xuu112, app(ty_Maybe, ee)) → new_ltEs12(xuu110, xuu112, ee)
new_compare30(xuu311000, xuu600, ty_Float) → new_compare7(xuu311000, xuu600)
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Int) → new_compare10(new_sr(xuu311000, xuu601), new_sr(xuu600, xuu311001))
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, eha)) → new_esEs22(xuu3110000, xuu6000, eha)
new_esEs34(xuu95, xuu98, ty_Double) → new_esEs23(xuu95, xuu98)
new_esEs35(xuu3110000, xuu6000, app(app(ty_@2, fad), fae)) → new_esEs24(xuu3110000, xuu6000, fad, fae)
new_esEs7(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt4(xuu31100, xuu60) → new_esEs12(new_compare6(xuu31100, xuu60))
new_esEs40(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_lt22(xuu95, xuu98, ty_Float) → new_lt5(xuu95, xuu98)
new_ltEs16(True, True) → True
new_esEs4(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_compare26(Char(xuu311000), Char(xuu600)) → new_primCmpNat0(xuu311000, xuu600)
new_compare25(xuu109, xuu110, xuu111, xuu112, False, dg, fc) → new_compare15(xuu109, xuu110, xuu111, xuu112, new_lt20(xuu109, xuu111, dg), new_asAs(new_esEs30(xuu109, xuu111, dg), new_ltEs19(xuu110, xuu112, fc)), dg, fc)
new_esEs40(xuu640, xuu650, app(app(app(ty_@3, bg), bh), ca)) → new_esEs15(xuu640, xuu650, bg, bh, ca)
new_pePe(False, xuu199) → xuu199
new_lt6(xuu640, xuu650, app(ty_Ratio, chd)) → new_lt16(xuu640, xuu650, chd)
new_lt7(xuu641, xuu651, app(app(ty_@2, bfc), bfd)) → new_lt8(xuu641, xuu651, bfc, bfd)
new_esEs39(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Bool) → new_esEs26(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt18(xuu31100, xuu60) → new_esEs12(new_compare11(xuu31100, xuu60))
new_esEs6(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs5(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_lt22(xuu95, xuu98, app(app(app(ty_@3, cdd), cde), cdf)) → new_lt15(xuu95, xuu98, cdd, cde, cdf)
new_compare25(xuu109, xuu110, xuu111, xuu112, True, dg, fc) → EQ
new_esEs11(xuu311002, xuu602, app(ty_Maybe, dga)) → new_esEs22(xuu311002, xuu602, dga)
new_esEs10(xuu311001, xuu601, app(app(ty_@2, ece), ecf)) → new_esEs24(xuu311001, xuu601, ece, ecf)
new_esEs37(xuu3110002, xuu6002, app(ty_Ratio, fdb)) → new_esEs25(xuu3110002, xuu6002, fdb)
new_ltEs15(xuu64, xuu65, chg) → new_fsEs(new_compare9(xuu64, xuu65, chg))
new_esEs28(xuu641, xuu651, ty_Integer) → new_esEs18(xuu641, xuu651)
new_esEs36(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_esEs36(xuu3110001, xuu6001, app(ty_Ratio, fbh)) → new_esEs25(xuu3110001, xuu6001, fbh)
new_compare14(True, False) → GT
new_lt21(xuu94, xuu97, app(app(ty_@2, cbb), cbc)) → new_lt8(xuu94, xuu97, cbb, cbc)
new_compare30(xuu311000, xuu600, app(ty_[], bbf)) → new_compare1(xuu311000, xuu600, bbf)
new_ltEs19(xuu110, xuu112, app(ty_[], ed)) → new_ltEs11(xuu110, xuu112, ed)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, edf), edg), dca) → new_esEs16(xuu3110000, xuu6000, edf, edg)
new_esEs6(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs39(xuu3110001, xuu6001, app(ty_Maybe, fgf)) → new_esEs22(xuu3110001, xuu6001, fgf)
new_esEs31(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_lt22(xuu95, xuu98, app(ty_[], cdb)) → new_lt12(xuu95, xuu98, cdb)
new_esEs40(xuu640, xuu650, app(app(ty_@2, h), ba)) → new_esEs24(xuu640, xuu650, h, ba)
new_esEs4(xuu311000, xuu600, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs15(xuu311000, xuu600, dbe, dbf, dbg)
new_esEs27(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, ty_Int) → new_ltEs9(xuu71, xuu72)
new_esEs6(xuu311000, xuu600, app(app(ty_Either, fdf), fdg)) → new_esEs16(xuu311000, xuu600, fdf, fdg)
new_ltEs13(EQ, GT) → True
new_ltEs6(xuu642, xuu652, app(app(ty_@2, bgd), bge)) → new_ltEs7(xuu642, xuu652, bgd, bge)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Char) → new_ltEs10(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs33(xuu94, xuu97, ty_Integer) → new_esEs18(xuu94, xuu97)
new_lt20(xuu109, xuu111, ty_Float) → new_lt5(xuu109, xuu111)
new_compare6(LT, EQ) → LT
new_esEs35(xuu3110000, xuu6000, app(app(app(ty_@3, ehe), ehf), ehg)) → new_esEs15(xuu3110000, xuu6000, ehe, ehf, ehg)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Integer) → new_ltEs17(xuu640, xuu650)
new_ltEs7(@2(xuu640, xuu641), @2(xuu650, xuu651), cb, bb) → new_pePe(new_lt23(xuu640, xuu650, cb), new_asAs(new_esEs40(xuu640, xuu650, cb), new_ltEs24(xuu641, xuu651, bb)))
new_esEs12(GT) → False
new_lt7(xuu641, xuu651, app(app(app(ty_@3, bga), bgb), bgc)) → new_lt15(xuu641, xuu651, bga, bgb, bgc)
new_esEs34(xuu95, xuu98, ty_Integer) → new_esEs18(xuu95, xuu98)
new_esEs12(LT) → True
new_lt14(xuu31100, xuu60) → new_esEs12(new_compare29(xuu31100, xuu60))
new_ltEs8(Left(xuu640), Left(xuu650), ty_Int, gf) → new_ltEs9(xuu640, xuu650)
new_esEs39(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_esEs36(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_primCmpNat0(Zero, Succ(xuu6000)) → LT
new_compare30(xuu311000, xuu600, ty_Int) → new_compare10(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, app(ty_Ratio, dbd)) → new_ltEs15(xuu110, xuu112, dbd)
new_esEs39(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_ltEs20(xuu83, xuu84, ty_Double) → new_ltEs14(xuu83, xuu84)
new_ltEs22(xuu96, xuu99, ty_Bool) → new_ltEs16(xuu96, xuu99)
new_ltEs20(xuu83, xuu84, app(app(ty_@2, bhf), bhg)) → new_ltEs7(xuu83, xuu84, bhf, bhg)
new_esEs38(xuu3110000, xuu6000, app(app(app(ty_@3, fef), feg), feh)) → new_esEs15(xuu3110000, xuu6000, fef, feg, feh)
new_esEs5(xuu311001, xuu601, app(ty_[], ddc)) → new_esEs21(xuu311001, xuu601, ddc)
new_esEs6(xuu311000, xuu600, app(app(ty_@2, feb), fec)) → new_esEs24(xuu311000, xuu600, feb, fec)
new_ltEs23(xuu64, xuu65, ty_Float) → new_ltEs4(xuu64, xuu65)
new_esEs17(LT, LT) → True
new_esEs34(xuu95, xuu98, ty_Ordering) → new_esEs17(xuu95, xuu98)
new_esEs10(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_esEs11(xuu311002, xuu602, app(app(ty_@2, dgb), dgc)) → new_esEs24(xuu311002, xuu602, dgb, dgc)
new_esEs9(xuu311000, xuu600, app(ty_Ratio, ebe)) → new_esEs25(xuu311000, xuu600, ebe)
new_esEs33(xuu94, xuu97, app(app(ty_Either, cbf), cbg)) → new_esEs16(xuu94, xuu97, cbf, cbg)
new_esEs37(xuu3110002, xuu6002, ty_@0) → new_esEs19(xuu3110002, xuu6002)
new_esEs36(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Int) → new_esEs14(xuu94, xuu97)
new_esEs37(xuu3110002, xuu6002, app(app(ty_Either, fcd), fce)) → new_esEs16(xuu3110002, xuu6002, fcd, fce)
new_esEs8(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_esEs28(xuu641, xuu651, app(app(ty_@2, bfc), bfd)) → new_esEs24(xuu641, xuu651, bfc, bfd)
new_esEs27(xuu640, xuu650, app(app(ty_@2, bdg), bdh)) → new_esEs24(xuu640, xuu650, bdg, bdh)
new_lt21(xuu94, xuu97, ty_@0) → new_lt19(xuu94, xuu97)
new_esEs30(xuu109, xuu111, ty_@0) → new_esEs19(xuu109, xuu111)
new_esEs37(xuu3110002, xuu6002, ty_Int) → new_esEs14(xuu3110002, xuu6002)
new_ltEs24(xuu641, xuu651, app(ty_[], cg)) → new_ltEs11(xuu641, xuu651, cg)
new_esEs33(xuu94, xuu97, app(ty_Ratio, efg)) → new_esEs25(xuu94, xuu97, efg)
new_compare30(xuu311000, xuu600, ty_Integer) → new_compare11(xuu311000, xuu600)
new_compare12(Left(xuu311000), Left(xuu600), bcc, bcd) → new_compare210(xuu311000, xuu600, new_esEs6(xuu311000, xuu600, bcc), bcc, bcd)
new_pePe(True, xuu199) → True
new_primEqNat0(Zero, Zero) → True
new_esEs10(xuu311001, xuu601, app(ty_[], ecc)) → new_esEs21(xuu311001, xuu601, ecc)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, xuu188, dgg, dgh, dha) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, xuu188, dgg, dgh, dha)
new_esEs8(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_esEs6(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt23(xuu640, xuu650, app(ty_Ratio, fhb)) → new_lt16(xuu640, xuu650, fhb)
new_compare17(@0, @0) → EQ
new_esEs29(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_ltEs19(xuu110, xuu112, app(app(ty_Either, eb), ec)) → new_ltEs8(xuu110, xuu112, eb, ec)
new_esEs12(EQ) → False
new_esEs5(xuu311001, xuu601, app(ty_Ratio, ddg)) → new_esEs25(xuu311001, xuu601, ddg)
new_esEs37(xuu3110002, xuu6002, ty_Float) → new_esEs20(xuu3110002, xuu6002)
new_compare12(Left(xuu311000), Right(xuu600), bcc, bcd) → LT
new_esEs27(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs29(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, app(app(ty_Either, cfc), cfd)) → new_ltEs8(xuu71, xuu72, cfc, cfd)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs5(xuu311001, xuu601, app(app(app(ty_@3, dcf), dcg), dch)) → new_esEs15(xuu311001, xuu601, dcf, dcg, dch)
new_ltEs24(xuu641, xuu651, ty_Char) → new_ltEs10(xuu641, xuu651)
new_lt22(xuu95, xuu98, app(app(ty_@2, ccf), ccg)) → new_lt8(xuu95, xuu98, ccf, ccg)
new_compare6(EQ, LT) → GT
new_esEs38(xuu3110000, xuu6000, app(ty_[], ffc)) → new_esEs21(xuu3110000, xuu6000, ffc)
new_ltEs23(xuu64, xuu65, ty_Ordering) → new_ltEs13(xuu64, xuu65)
new_esEs4(xuu311000, xuu600, app(ty_Ratio, dce)) → new_esEs25(xuu311000, xuu600, dce)
new_esEs29(xuu3110000, xuu6000, app(app(app(ty_@3, daa), dab), dac)) → new_esEs15(xuu3110000, xuu6000, daa, dab, dac)
new_sr(xuu311000, xuu600) → new_primMulInt(xuu311000, xuu600)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs32(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_esEs38(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, ty_Double) → new_lt14(xuu641, xuu651)
new_lt7(xuu641, xuu651, app(app(ty_Either, bfe), bff)) → new_lt9(xuu641, xuu651, bfe, bff)
new_esEs7(xuu311000, xuu600, app(app(ty_@2, deg), deh)) → new_esEs24(xuu311000, xuu600, deg, deh)
new_ltEs6(xuu642, xuu652, ty_Integer) → new_ltEs17(xuu642, xuu652)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_lt19(xuu31100, xuu60) → new_esEs12(new_compare17(xuu31100, xuu60))
new_esEs10(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_ltEs21(xuu71, xuu72, ty_Bool) → new_ltEs16(xuu71, xuu72)
new_esEs9(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, ty_Char) → new_ltEs10(xuu110, xuu112)
new_esEs9(xuu311000, xuu600, app(app(ty_@2, ebc), ebd)) → new_esEs24(xuu311000, xuu600, ebc, ebd)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_[], bdb)) → new_ltEs11(xuu640, xuu650, bdb)
new_esEs30(xuu109, xuu111, ty_Bool) → new_esEs26(xuu109, xuu111)
new_esEs30(xuu109, xuu111, ty_Char) → new_esEs13(xuu109, xuu111)
new_esEs38(xuu3110000, xuu6000, app(app(ty_@2, ffe), fff)) → new_esEs24(xuu3110000, xuu6000, ffe, fff)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Double, gf) → new_ltEs14(xuu640, xuu650)
new_esEs28(xuu641, xuu651, app(ty_[], bfg)) → new_esEs21(xuu641, xuu651, bfg)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Int, dca) → new_esEs14(xuu3110000, xuu6000)
new_esEs26(False, False) → True
new_ltEs23(xuu64, xuu65, ty_Double) → new_ltEs14(xuu64, xuu65)
new_ltEs20(xuu83, xuu84, ty_Bool) → new_ltEs16(xuu83, xuu84)
new_ltEs11(xuu64, xuu65, bah) → new_fsEs(new_compare1(xuu64, xuu65, bah))
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, app(app(app(ty_@3, cad), cae), caf)) → new_ltEs5(xuu83, xuu84, cad, cae, caf)
new_esEs32(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_esEs8(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs38(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, app(ty_[], cdb)) → new_esEs21(xuu95, xuu98, cdb)
new_esEs6(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs9(xuu64, xuu65) → new_fsEs(new_compare10(xuu64, xuu65))
new_compare30(xuu311000, xuu600, app(ty_Maybe, bbg)) → new_compare8(xuu311000, xuu600, bbg)
new_esEs8(xuu311000, xuu600, app(ty_Maybe, cgh)) → new_esEs22(xuu311000, xuu600, cgh)
new_lt22(xuu95, xuu98, ty_Ordering) → new_lt4(xuu95, xuu98)
new_compare14(True, True) → EQ
new_esEs27(xuu640, xuu650, app(ty_[], bee)) → new_esEs21(xuu640, xuu650, bee)
new_ltEs21(xuu71, xuu72, ty_Integer) → new_ltEs17(xuu71, xuu72)
new_compare113(xuu147, xuu148, True, dhh, eaa) → LT
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, eea), dca) → new_esEs22(xuu3110000, xuu6000, eea)
new_ltEs8(Left(xuu640), Left(xuu650), app(app(app(ty_@3, hc), hd), he), gf) → new_ltEs5(xuu640, xuu650, hc, hd, he)
new_lt16(xuu31100, xuu60, egb) → new_esEs12(new_compare9(xuu31100, xuu60, egb))
new_esEs5(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_esEs30(xuu109, xuu111, app(app(ty_@2, fa), fb)) → new_esEs24(xuu109, xuu111, fa, fb)
new_esEs5(xuu311001, xuu601, app(app(ty_@2, dde), ddf)) → new_esEs24(xuu311001, xuu601, dde, ddf)
new_esEs29(xuu3110000, xuu6000, app(ty_Maybe, dag)) → new_esEs22(xuu3110000, xuu6000, dag)
new_esEs11(xuu311002, xuu602, app(app(app(ty_@3, dfc), dfd), dfe)) → new_esEs15(xuu311002, xuu602, dfc, dfd, dfe)
new_esEs30(xuu109, xuu111, app(ty_Maybe, fh)) → new_esEs22(xuu109, xuu111, fh)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Bool, gf) → new_ltEs16(xuu640, xuu650)
new_ltEs13(LT, GT) → True
new_esEs37(xuu3110002, xuu6002, ty_Char) → new_esEs13(xuu3110002, xuu6002)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Ordering, gf) → new_ltEs13(xuu640, xuu650)
new_ltEs23(xuu64, xuu65, ty_Bool) → new_ltEs16(xuu64, xuu65)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Ratio, dhe)) → new_ltEs15(xuu640, xuu650, dhe)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs28(xuu641, xuu651, ty_Float) → new_esEs20(xuu641, xuu651)
new_lt6(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_esEs17(EQ, EQ) → True
new_ltEs22(xuu96, xuu99, app(ty_[], cec)) → new_ltEs11(xuu96, xuu99, cec)
new_esEs4(xuu311000, xuu600, app(app(ty_Either, dbh), dca)) → new_esEs16(xuu311000, xuu600, dbh, dca)
new_compare16(@2(xuu311000, xuu311001), @2(xuu600, xuu601), de, df) → new_compare25(xuu311000, xuu311001, xuu600, xuu601, new_asAs(new_esEs4(xuu311000, xuu600, de), new_esEs5(xuu311001, xuu601, df)), de, df)
new_compare30(xuu311000, xuu600, app(ty_Ratio, edb)) → new_compare9(xuu311000, xuu600, edb)
new_lt22(xuu95, xuu98, app(app(ty_Either, cch), cda)) → new_lt9(xuu95, xuu98, cch, cda)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Char) → new_ltEs10(xuu640, xuu650)
new_esEs11(xuu311002, xuu602, ty_Bool) → new_esEs26(xuu311002, xuu602)
new_lt21(xuu94, xuu97, app(ty_Ratio, efg)) → new_lt16(xuu94, xuu97, efg)
new_esEs39(xuu3110001, xuu6001, app(app(app(ty_@3, ffh), fga), fgb)) → new_esEs15(xuu3110001, xuu6001, ffh, fga, fgb)
new_esEs8(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_lt6(xuu640, xuu650, app(app(app(ty_@3, beg), beh), bfa)) → new_lt15(xuu640, xuu650, beg, beh, bfa)
new_ltEs21(xuu71, xuu72, ty_@0) → new_ltEs18(xuu71, xuu72)
new_esEs28(xuu641, xuu651, ty_Ordering) → new_esEs17(xuu641, xuu651)
new_compare112(xuu140, xuu141, False, dhb, dhc) → GT
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_ltEs22(xuu96, xuu99, app(ty_Maybe, ced)) → new_ltEs12(xuu96, xuu99, ced)
new_esEs39(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_ltEs17(xuu64, xuu65) → new_fsEs(new_compare11(xuu64, xuu65))
new_esEs40(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, ty_Int) → new_esEs14(xuu95, xuu98)
new_esEs38(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs21([], [], chh) → True
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ehb), ehc)) → new_esEs24(xuu3110000, xuu6000, ehb, ehc)
new_ltEs21(xuu71, xuu72, app(ty_[], cfe)) → new_ltEs11(xuu71, xuu72, cfe)
new_esEs11(xuu311002, xuu602, ty_Int) → new_esEs14(xuu311002, xuu602)
new_esEs10(xuu311001, xuu601, app(ty_Maybe, ecd)) → new_esEs22(xuu311001, xuu601, ecd)
new_esEs10(xuu311001, xuu601, app(app(app(ty_@3, ebf), ebg), ebh)) → new_esEs15(xuu311001, xuu601, ebf, ebg, ebh)
new_ltEs23(xuu64, xuu65, ty_Char) → new_ltEs10(xuu64, xuu65)
new_esEs40(xuu640, xuu650, app(app(ty_Either, bc), bd)) → new_esEs16(xuu640, xuu650, bc, bd)
new_compare19(xuu166, xuu167, xuu168, xuu169, True, dge, dgf) → LT
new_esEs19(@0, @0) → True
new_compare6(GT, GT) → EQ
new_ltEs23(xuu64, xuu65, ty_@0) → new_ltEs18(xuu64, xuu65)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs7(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_ltEs23(xuu64, xuu65, app(ty_Ratio, chg)) → new_ltEs15(xuu64, xuu65, chg)
new_ltEs24(xuu641, xuu651, app(app(app(ty_@3, db), dc), dd)) → new_ltEs5(xuu641, xuu651, db, dc, dd)
new_esEs38(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_primCmpNat0(Succ(xuu3110000), Succ(xuu6000)) → new_primCmpNat0(xuu3110000, xuu6000)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, edc), edd), ede), dca) → new_esEs15(xuu3110000, xuu6000, edc, edd, ede)
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(ty_Ratio, eac)) → new_ltEs15(xuu640, xuu650, eac)
new_esEs35(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_esEs9(xuu311000, xuu600, app(app(ty_Either, eag), eah)) → new_esEs16(xuu311000, xuu600, eag, eah)
new_compare30(xuu311000, xuu600, app(app(ty_Either, bbd), bbe)) → new_compare12(xuu311000, xuu600, bbd, bbe)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Bool) → new_ltEs16(xuu640, xuu650)
new_ltEs13(GT, LT) → False
new_ltEs22(xuu96, xuu99, ty_Integer) → new_ltEs17(xuu96, xuu99)
new_esEs36(xuu3110001, xuu6001, app(app(ty_@2, fbf), fbg)) → new_esEs24(xuu3110001, xuu6001, fbf, fbg)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_lt8(xuu31100, xuu60, de, df) → new_esEs12(new_compare16(xuu31100, xuu60, de, df))
new_esEs30(xuu109, xuu111, ty_Float) → new_esEs20(xuu109, xuu111)
new_ltEs19(xuu110, xuu112, ty_Integer) → new_ltEs17(xuu110, xuu112)
new_lt20(xuu109, xuu111, app(ty_[], fg)) → new_lt12(xuu109, xuu111, fg)
new_esEs4(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Ordering) → new_esEs17(xuu311002, xuu602)
new_ltEs13(EQ, EQ) → True
new_esEs35(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_esEs7(xuu311000, xuu600, app(app(app(ty_@3, ddh), dea), deb)) → new_esEs15(xuu311000, xuu600, ddh, dea, deb)
new_compare8(Nothing, Nothing, bhe) → EQ
new_esEs27(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_esEs17(LT, GT) → False
new_esEs17(GT, LT) → False
new_esEs40(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs8(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_esEs21(:(xuu3110000, xuu3110001), [], chh) → False
new_esEs21([], :(xuu6000, xuu6001), chh) → False
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Int) → new_ltEs9(xuu640, xuu650)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_esEs29(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs17(EQ, GT) → False
new_esEs17(GT, EQ) → False
new_ltEs12(Just(xuu640), Just(xuu650), ty_Float) → new_ltEs4(xuu640, xuu650)
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(app(ty_@2, hg), hh)) → new_ltEs7(xuu640, xuu650, hg, hh)
new_esEs30(xuu109, xuu111, ty_Integer) → new_esEs18(xuu109, xuu111)
new_compare113(xuu147, xuu148, False, dhh, eaa) → GT
new_compare30(xuu311000, xuu600, ty_@0) → new_compare17(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, ty_Double) → new_ltEs14(xuu110, xuu112)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Integer, gf) → new_ltEs17(xuu640, xuu650)
new_lt5(xuu31100, xuu60) → new_esEs12(new_compare7(xuu31100, xuu60))
new_esEs30(xuu109, xuu111, ty_Int) → new_esEs14(xuu109, xuu111)
new_primCompAux00(xuu77, LT) → LT
new_fsEs(xuu194) → new_not(new_esEs17(xuu194, GT))
new_primCmpInt(Neg(Succ(xuu3110000)), Neg(xuu600)) → new_primCmpNat0(xuu600, Succ(xuu3110000))
new_lt22(xuu95, xuu98, ty_Integer) → new_lt18(xuu95, xuu98)
new_esEs27(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_lt21(xuu94, xuu97, app(app(ty_Either, cbf), cbg)) → new_lt9(xuu94, xuu97, cbf, cbg)
new_compare6(LT, LT) → EQ
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(app(app(ty_@3, eee), eef), eeg)) → new_esEs15(xuu3110000, xuu6000, eee, eef, eeg)
new_compare29(Double(xuu311000, xuu311001), Double(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_esEs35(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare1(:(xuu311000, xuu311001), :(xuu600, xuu601), bba) → new_primCompAux0(xuu311000, xuu600, new_compare1(xuu311001, xuu601, bba), bba)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_compare210(xuu64, xuu65, False, fee, bce) → new_compare112(xuu64, xuu65, new_ltEs23(xuu64, xuu65, fee), fee, bce)
new_esEs27(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_ltEs20(xuu83, xuu84, app(ty_Maybe, cac)) → new_ltEs12(xuu83, xuu84, cac)
new_ltEs6(xuu642, xuu652, ty_@0) → new_ltEs18(xuu642, xuu652)
new_primPlusNat0(Succ(xuu42200), Zero) → Succ(xuu42200)
new_primPlusNat0(Zero, Succ(xuu12900)) → Succ(xuu12900)
new_lt6(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, eeb), eec), dca) → new_esEs24(xuu3110000, xuu6000, eeb, eec)
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, True, cce, cbd, cbe) → EQ
new_compare24(xuu83, xuu84, False, dhf) → new_compare18(xuu83, xuu84, new_ltEs20(xuu83, xuu84, dhf), dhf)
new_esEs29(xuu3110000, xuu6000, app(ty_Ratio, dbb)) → new_esEs25(xuu3110000, xuu6000, dbb)
new_lt22(xuu95, xuu98, ty_Char) → new_lt11(xuu95, xuu98)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_primCmpNat0(Succ(xuu3110000), Zero) → GT
new_ltEs6(xuu642, xuu652, ty_Char) → new_ltEs10(xuu642, xuu652)
new_ltEs21(xuu71, xuu72, ty_Double) → new_ltEs14(xuu71, xuu72)
new_esEs40(xuu640, xuu650, app(ty_Maybe, bf)) → new_esEs22(xuu640, xuu650, bf)
new_esEs29(xuu3110000, xuu6000, app(app(ty_@2, dah), dba)) → new_esEs24(xuu3110000, xuu6000, dah, dba)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Maybe, hb), gf) → new_ltEs12(xuu640, xuu650, hb)
new_ltEs6(xuu642, xuu652, ty_Ordering) → new_ltEs13(xuu642, xuu652)
new_lt22(xuu95, xuu98, ty_@0) → new_lt19(xuu95, xuu98)
new_compare14(False, False) → EQ
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, egc), egd), ege)) → new_esEs15(xuu3110000, xuu6000, egc, egd, ege)
new_esEs7(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu6000))) → LT
new_esEs25(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dce) → new_asAs(new_esEs31(xuu3110000, xuu6000, dce), new_esEs32(xuu3110001, xuu6001, dce))
new_ltEs20(xuu83, xuu84, ty_Integer) → new_ltEs17(xuu83, xuu84)
new_ltEs22(xuu96, xuu99, ty_Char) → new_ltEs10(xuu96, xuu99)
new_esEs31(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_sr0(Integer(xuu3110000), Integer(xuu6010)) → Integer(new_primMulInt(xuu3110000, xuu6010))
new_esEs4(xuu311000, xuu600, app(app(ty_@2, dcc), dcd)) → new_esEs24(xuu311000, xuu600, dcc, dcd)
new_lt7(xuu641, xuu651, ty_Bool) → new_lt17(xuu641, xuu651)
new_compare28(xuu71, xuu72, True, ceh, ech) → EQ
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_lt23(xuu640, xuu650, app(ty_Maybe, bf)) → new_lt13(xuu640, xuu650, bf)
new_ltEs24(xuu641, xuu651, ty_@0) → new_ltEs18(xuu641, xuu651)
new_esEs5(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_lt23(xuu640, xuu650, app(app(ty_@2, h), ba)) → new_lt8(xuu640, xuu650, h, ba)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Maybe, bdc)) → new_ltEs12(xuu640, xuu650, bdc)
new_esEs33(xuu94, xuu97, ty_Float) → new_esEs20(xuu94, xuu97)
new_ltEs23(xuu64, xuu65, ty_Integer) → new_ltEs17(xuu64, xuu65)
new_ltEs6(xuu642, xuu652, ty_Int) → new_ltEs9(xuu642, xuu652)
new_esEs40(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_esEs26(False, True) → False
new_esEs26(True, False) → False
new_esEs27(xuu640, xuu650, app(app(ty_Either, bec), bed)) → new_esEs16(xuu640, xuu650, bec, bed)
new_esEs39(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_esEs34(xuu95, xuu98, ty_Float) → new_esEs20(xuu95, xuu98)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_[], ha), gf) → new_ltEs11(xuu640, xuu650, ha)
new_esEs29(xuu3110000, xuu6000, app(app(ty_Either, dad), dae)) → new_esEs16(xuu3110000, xuu6000, dad, dae)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_Either, bch), bda)) → new_ltEs8(xuu640, xuu650, bch, bda)
new_lt11(xuu31100, xuu60) → new_esEs12(new_compare26(xuu31100, xuu60))
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_esEs33(xuu94, xuu97, ty_Char) → new_esEs13(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_esEs39(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(ty_Maybe, bad)) → new_ltEs12(xuu640, xuu650, bad)
new_primCompAux00(xuu77, EQ) → xuu77
new_primCmpInt(Pos(Zero), Pos(Succ(xuu6000))) → new_primCmpNat0(Zero, Succ(xuu6000))
new_ltEs23(xuu64, xuu65, app(ty_Maybe, dhd)) → new_ltEs12(xuu64, xuu65, dhd)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Integer) → new_ltEs17(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Float, dca) → new_esEs20(xuu3110000, xuu6000)
new_esEs7(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_lt20(xuu109, xuu111, ty_Ordering) → new_lt4(xuu109, xuu111)
new_esEs11(xuu311002, xuu602, app(ty_[], dfh)) → new_esEs21(xuu311002, xuu602, dfh)
new_esEs28(xuu641, xuu651, app(app(app(ty_@3, bga), bgb), bgc)) → new_esEs15(xuu641, xuu651, bga, bgb, bgc)
new_esEs37(xuu3110002, xuu6002, app(app(app(ty_@3, fca), fcb), fcc)) → new_esEs15(xuu3110002, xuu6002, fca, fcb, fcc)
new_ltEs13(GT, EQ) → False
new_esEs36(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs5(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Float) → new_ltEs4(xuu640, xuu650)
new_ltEs13(EQ, LT) → False
new_esEs28(xuu641, xuu651, ty_Double) → new_esEs23(xuu641, xuu651)
new_esEs6(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Bool, dca) → new_esEs26(xuu3110000, xuu6000)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Ratio, eab), gf) → new_ltEs15(xuu640, xuu650, eab)
new_esEs23(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs30(xuu109, xuu111, ty_Ordering) → new_esEs17(xuu109, xuu111)
new_esEs34(xuu95, xuu98, app(app(app(ty_@3, cdd), cde), cdf)) → new_esEs15(xuu95, xuu98, cdd, cde, cdf)
new_ltEs6(xuu642, xuu652, ty_Double) → new_ltEs14(xuu642, xuu652)
new_lt21(xuu94, xuu97, ty_Bool) → new_lt17(xuu94, xuu97)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_esEs8(xuu311000, xuu600, app(ty_[], cgg)) → new_esEs21(xuu311000, xuu600, cgg)
new_not(False) → True
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(app(ty_Either, baa), bab)) → new_ltEs8(xuu640, xuu650, baa, bab)
new_esEs37(xuu3110002, xuu6002, app(ty_[], fcf)) → new_esEs21(xuu3110002, xuu6002, fcf)
new_esEs10(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs10(xuu311001, xuu601, app(app(ty_Either, eca), ecb)) → new_esEs16(xuu311001, xuu601, eca, ecb)
new_esEs5(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_compare24(xuu83, xuu84, True, dhf) → EQ
new_esEs9(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_@0) → new_esEs19(xuu311002, xuu602)
new_ltEs20(xuu83, xuu84, ty_Ordering) → new_ltEs13(xuu83, xuu84)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_@2, bcf), bcg)) → new_ltEs7(xuu640, xuu650, bcf, bcg)
new_compare210(xuu64, xuu65, True, fee, bce) → EQ
new_primCmpInt(Pos(Succ(xuu3110000)), Pos(xuu600)) → new_primCmpNat0(Succ(xuu3110000), xuu600)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(ty_Ratio, eff)) → new_esEs25(xuu3110000, xuu6000, eff)
new_lt21(xuu94, xuu97, app(ty_[], cbh)) → new_lt12(xuu94, xuu97, cbh)
new_esEs36(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_ltEs23(xuu64, xuu65, app(app(ty_Either, hf), gf)) → new_ltEs8(xuu64, xuu65, hf, gf)
new_lt6(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs24(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), dcc, dcd) → new_asAs(new_esEs38(xuu3110000, xuu6000, dcc), new_esEs39(xuu3110001, xuu6001, dcd))
new_esEs38(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, app(ty_Ratio, efh)) → new_esEs25(xuu95, xuu98, efh)
new_compare6(GT, LT) → GT
new_lt20(xuu109, xuu111, app(app(app(ty_@3, ga), gb), gc)) → new_lt15(xuu109, xuu111, ga, gb, gc)
new_ltEs24(xuu641, xuu651, app(app(ty_Either, ce), cf)) → new_ltEs8(xuu641, xuu651, ce, cf)
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, dgg, dgh, dha) → GT
new_lt22(xuu95, xuu98, ty_Double) → new_lt14(xuu95, xuu98)
new_ltEs19(xuu110, xuu112, ty_@0) → new_ltEs18(xuu110, xuu112)
new_ltEs24(xuu641, xuu651, ty_Float) → new_ltEs4(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, app(ty_Ratio, dgd)) → new_esEs25(xuu311002, xuu602, dgd)
new_ltEs6(xuu642, xuu652, app(ty_[], bgh)) → new_ltEs11(xuu642, xuu652, bgh)
new_esEs39(xuu3110001, xuu6001, app(app(ty_@2, fgg), fgh)) → new_esEs24(xuu3110001, xuu6001, fgg, fgh)
new_esEs37(xuu3110002, xuu6002, app(ty_Maybe, fcg)) → new_esEs22(xuu3110002, xuu6002, fcg)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(app(ty_Either, eeh), efa)) → new_esEs16(xuu3110000, xuu6000, eeh, efa)
new_esEs40(xuu640, xuu650, app(ty_[], be)) → new_esEs21(xuu640, xuu650, be)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, xuu188, dgg, dgh, dha) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, dgg, dgh, dha)
new_primCmpInt(Pos(Succ(xuu3110000)), Neg(xuu600)) → GT
new_lt23(xuu640, xuu650, app(ty_[], be)) → new_lt12(xuu640, xuu650, be)
new_ltEs19(xuu110, xuu112, ty_Int) → new_ltEs9(xuu110, xuu112)
new_lt23(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_ltEs24(xuu641, xuu651, ty_Ordering) → new_ltEs13(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Char) → new_esEs13(xuu311002, xuu602)
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(ty_[], bac)) → new_ltEs11(xuu640, xuu650, bac)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Double) → new_ltEs14(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_primMulInt(Pos(xuu3110000), Pos(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_esEs35(xuu3110000, xuu6000, app(app(ty_Either, ehh), faa)) → new_esEs16(xuu3110000, xuu6000, ehh, faa)
new_esEs34(xuu95, xuu98, app(ty_Maybe, cdc)) → new_esEs22(xuu95, xuu98, cdc)
new_esEs4(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_esEs35(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, ty_Ordering) → new_ltEs13(xuu71, xuu72)
new_esEs7(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Int) → new_lt10(xuu94, xuu97)
new_primMulInt(Neg(xuu3110000), Neg(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_ltEs23(xuu64, xuu65, app(app(ty_@2, cb), bb)) → new_ltEs7(xuu64, xuu65, cb, bb)
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_Either, gg), gh), gf) → new_ltEs8(xuu640, xuu650, gg, gh)
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_ltEs24(xuu641, xuu651, ty_Double) → new_ltEs14(xuu641, xuu651)
new_ltEs4(xuu64, xuu65) → new_fsEs(new_compare7(xuu64, xuu65))
new_primPlusNat0(Zero, Zero) → Zero
new_compare8(Just(xuu311000), Nothing, bhe) → GT
new_ltEs22(xuu96, xuu99, ty_Ordering) → new_ltEs13(xuu96, xuu99)
new_lt7(xuu641, xuu651, ty_Integer) → new_lt18(xuu641, xuu651)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_lt23(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, app(app(ty_@2, cfa), cfb)) → new_ltEs7(xuu71, xuu72, cfa, cfb)
new_esEs11(xuu311002, xuu602, ty_Float) → new_esEs20(xuu311002, xuu602)
new_lt6(xuu640, xuu650, app(app(ty_Either, bec), bed)) → new_lt9(xuu640, xuu650, bec, bed)
new_esEs8(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_lt12(xuu31100, xuu60, bba) → new_esEs12(new_compare1(xuu31100, xuu60, bba))
new_esEs38(xuu3110000, xuu6000, app(ty_Ratio, ffg)) → new_esEs25(xuu3110000, xuu6000, ffg)
new_ltEs8(Right(xuu640), Right(xuu650), hf, ty_Double) → new_ltEs14(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, app(app(app(ty_@3, cfg), cfh), cga)) → new_ltEs5(xuu71, xuu72, cfg, cfh, cga)
new_ltEs20(xuu83, xuu84, ty_Float) → new_ltEs4(xuu83, xuu84)
new_esEs5(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_esEs37(xuu3110002, xuu6002, app(app(ty_@2, fch), fda)) → new_esEs24(xuu3110002, xuu6002, fch, fda)
new_lt22(xuu95, xuu98, app(ty_Ratio, efh)) → new_lt16(xuu95, xuu98, efh)
new_esEs33(xuu94, xuu97, app(ty_[], cbh)) → new_esEs21(xuu94, xuu97, cbh)
new_esEs7(xuu311000, xuu600, app(ty_Ratio, dfa)) → new_esEs25(xuu311000, xuu600, dfa)
new_esEs16(Left(xuu3110000), Right(xuu6000), dbh, dca) → False
new_esEs16(Right(xuu3110000), Left(xuu6000), dbh, dca) → False
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, dgg, dgh, dha) → LT
new_esEs38(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_ltEs22(xuu96, xuu99, ty_Float) → new_ltEs4(xuu96, xuu99)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu6000))) → new_primCmpNat0(Succ(xuu6000), Zero)
new_esEs5(xuu311001, xuu601, app(app(ty_Either, dda), ddb)) → new_esEs16(xuu311001, xuu601, dda, ddb)
new_lt21(xuu94, xuu97, app(ty_Maybe, cca)) → new_lt13(xuu94, xuu97, cca)
new_esEs6(xuu311000, xuu600, app(ty_Ratio, fed)) → new_esEs25(xuu311000, xuu600, fed)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu6000))) → GT
new_esEs29(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_Bool) → new_esEs26(xuu95, xuu98)
new_esEs9(xuu311000, xuu600, app(app(app(ty_@3, ead), eae), eaf)) → new_esEs15(xuu311000, xuu600, ead, eae, eaf)
new_lt21(xuu94, xuu97, ty_Ordering) → new_lt4(xuu94, xuu97)
new_compare12(Right(xuu311000), Right(xuu600), bcc, bcd) → new_compare28(xuu311000, xuu600, new_esEs7(xuu311000, xuu600, bcd), bcc, bcd)
new_ltEs22(xuu96, xuu99, app(ty_Ratio, ega)) → new_ltEs15(xuu96, xuu99, ega)
new_ltEs18(xuu64, xuu65) → new_fsEs(new_compare17(xuu64, xuu65))
new_ltEs21(xuu71, xuu72, app(ty_Maybe, cff)) → new_ltEs12(xuu71, xuu72, cff)
new_esEs27(xuu640, xuu650, app(ty_Ratio, chd)) → new_esEs25(xuu640, xuu650, chd)
new_lt23(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_esEs9(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Integer, dca) → new_esEs18(xuu3110000, xuu6000)
new_lt23(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_lt13(xuu31100, xuu60, bhe) → new_esEs12(new_compare8(xuu31100, xuu60, bhe))
new_esEs36(xuu3110001, xuu6001, app(ty_Maybe, fbe)) → new_esEs22(xuu3110001, xuu6001, fbe)
new_esEs40(xuu640, xuu650, app(ty_Ratio, fhb)) → new_esEs25(xuu640, xuu650, fhb)
new_esEs27(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_esEs33(xuu94, xuu97, app(app(ty_@2, cbb), cbc)) → new_esEs24(xuu94, xuu97, cbb, cbc)
new_compare7(Float(xuu311000, xuu311001), Float(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_ltEs24(xuu641, xuu651, app(ty_Ratio, fhc)) → new_ltEs15(xuu641, xuu651, fhc)
new_primCompAux0(xuu311000, xuu600, xuu48, bba) → new_primCompAux00(xuu48, new_compare30(xuu311000, xuu600, bba))
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs28(xuu641, xuu651, app(ty_Maybe, bfh)) → new_esEs22(xuu641, xuu651, bfh)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_@0, dca) → new_esEs19(xuu3110000, xuu6000)
new_esEs9(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_ltEs20(xuu83, xuu84, ty_@0) → new_ltEs18(xuu83, xuu84)
new_esEs8(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Char) → new_lt11(xuu94, xuu97)
new_esEs35(xuu3110000, xuu6000, app(ty_[], fab)) → new_esEs21(xuu3110000, xuu6000, fab)
new_ltEs13(GT, GT) → True
new_lt7(xuu641, xuu651, ty_@0) → new_lt19(xuu641, xuu651)
new_compare6(LT, GT) → LT
new_esEs38(xuu3110000, xuu6000, app(ty_Maybe, ffd)) → new_esEs22(xuu3110000, xuu6000, ffd)
new_asAs(False, xuu127) → False
new_ltEs19(xuu110, xuu112, app(app(ty_@2, dh), ea)) → new_ltEs7(xuu110, xuu112, dh, ea)
new_lt23(xuu640, xuu650, app(app(ty_Either, bc), bd)) → new_lt9(xuu640, xuu650, bc, bd)
new_ltEs10(xuu64, xuu65) → new_fsEs(new_compare26(xuu64, xuu65))
new_ltEs23(xuu64, xuu65, ty_Int) → new_ltEs9(xuu64, xuu65)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, eed), dca) → new_esEs25(xuu3110000, xuu6000, eed)
new_lt23(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_lt23(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_esEs39(xuu3110001, xuu6001, app(app(ty_Either, fgc), fgd)) → new_esEs16(xuu3110001, xuu6001, fgc, fgd)
new_primMulInt(Pos(xuu3110000), Neg(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_primMulInt(Neg(xuu3110000), Pos(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_ltEs6(xuu642, xuu652, ty_Float) → new_ltEs4(xuu642, xuu652)
new_ltEs20(xuu83, xuu84, app(ty_[], cab)) → new_ltEs11(xuu83, xuu84, cab)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_lt20(xuu109, xuu111, ty_@0) → new_lt19(xuu109, xuu111)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(app(ty_@2, efd), efe)) → new_esEs24(xuu3110000, xuu6000, efd, efe)
new_esEs4(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_primMulNat0(Succ(xuu31100000), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu60000)) → Zero
new_lt9(xuu31100, xuu60, bcc, bcd) → new_esEs12(new_compare12(xuu31100, xuu60, bcc, bcd))
new_ltEs12(Just(xuu640), Just(xuu650), app(app(app(ty_@3, bdd), bde), bdf)) → new_ltEs5(xuu640, xuu650, bdd, bde, bdf)
new_ltEs5(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bfb, bea, beb) → new_pePe(new_lt6(xuu640, xuu650, bfb), new_asAs(new_esEs27(xuu640, xuu650, bfb), new_pePe(new_lt7(xuu641, xuu651, bea), new_asAs(new_esEs28(xuu641, xuu651, bea), new_ltEs6(xuu642, xuu652, beb)))))
new_esEs27(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs18(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_compare11(Integer(xuu311000), Integer(xuu600)) → new_primCmpInt(xuu311000, xuu600)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Ordering, dca) → new_esEs17(xuu3110000, xuu6000)
new_ltEs22(xuu96, xuu99, ty_@0) → new_ltEs18(xuu96, xuu99)
new_ltEs8(Right(xuu640), Left(xuu650), hf, gf) → False
new_esEs30(xuu109, xuu111, app(ty_[], fg)) → new_esEs21(xuu109, xuu111, fg)
new_ltEs21(xuu71, xuu72, app(ty_Ratio, eda)) → new_ltEs15(xuu71, xuu72, eda)
new_lt6(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_lt22(xuu95, xuu98, ty_Bool) → new_lt17(xuu95, xuu98)
new_lt7(xuu641, xuu651, app(ty_Ratio, che)) → new_lt16(xuu641, xuu651, che)
new_esEs40(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_ltEs14(xuu64, xuu65) → new_fsEs(new_compare29(xuu64, xuu65))
new_esEs28(xuu641, xuu651, ty_@0) → new_esEs19(xuu641, xuu651)
new_lt17(xuu31100, xuu60) → new_esEs12(new_compare14(xuu31100, xuu60))
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Double, dca) → new_esEs23(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), hf, app(app(app(ty_@3, bae), baf), bag)) → new_ltEs5(xuu640, xuu650, bae, baf, bag)
new_compare8(Just(xuu311000), Just(xuu600), bhe) → new_compare24(xuu311000, xuu600, new_esEs8(xuu311000, xuu600, bhe), bhe)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, ehd)) → new_esEs25(xuu3110000, xuu6000, ehd)
new_lt6(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(ty_[], fbd)) → new_esEs21(xuu3110001, xuu6001, fbd)
new_compare18(xuu154, xuu155, True, dfb) → LT
new_esEs8(xuu311000, xuu600, app(app(ty_@2, cha), chb)) → new_esEs24(xuu311000, xuu600, cha, chb)
new_esEs9(xuu311000, xuu600, app(ty_[], eba)) → new_esEs21(xuu311000, xuu600, eba)
new_ltEs12(Nothing, Just(xuu650), dhd) → True
new_esEs6(xuu311000, xuu600, app(app(app(ty_@3, fdc), fdd), fde)) → new_esEs15(xuu311000, xuu600, fdc, fdd, fde)
new_esEs10(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_esEs17(LT, EQ) → False
new_esEs17(EQ, LT) → False
new_esEs36(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_compare18(xuu154, xuu155, False, dfb) → GT
new_esEs33(xuu94, xuu97, ty_Double) → new_esEs23(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_esEs4(xuu311000, xuu600, app(ty_Maybe, dcb)) → new_esEs22(xuu311000, xuu600, dcb)
new_ltEs6(xuu642, xuu652, ty_Bool) → new_ltEs16(xuu642, xuu652)
new_esEs39(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_esEs39(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs14(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs5(xuu110, xuu112, ef, eg, eh)
new_esEs29(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, app(ty_[], bee)) → new_lt12(xuu640, xuu650, bee)
new_compare12(Right(xuu311000), Left(xuu600), bcc, bcd) → GT
new_compare10(xuu31100, xuu60) → new_primCmpInt(xuu31100, xuu60)
new_esEs27(xuu640, xuu650, app(ty_Maybe, bef)) → new_esEs22(xuu640, xuu650, bef)
new_esEs33(xuu94, xuu97, ty_Ordering) → new_esEs17(xuu94, xuu97)
new_esEs37(xuu3110002, xuu6002, ty_Ordering) → new_esEs17(xuu3110002, xuu6002)
new_esEs4(xuu311000, xuu600, app(ty_[], chh)) → new_esEs21(xuu311000, xuu600, chh)
new_compare15(xuu166, xuu167, xuu168, xuu169, False, xuu171, dge, dgf) → new_compare19(xuu166, xuu167, xuu168, xuu169, xuu171, dge, dgf)
new_esEs33(xuu94, xuu97, app(ty_Maybe, cca)) → new_esEs22(xuu94, xuu97, cca)
new_esEs21(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), chh) → new_asAs(new_esEs29(xuu3110000, xuu6000, chh), new_esEs21(xuu3110001, xuu6001, chh))
new_compare28(xuu71, xuu72, False, ceh, ech) → new_compare113(xuu71, xuu72, new_ltEs21(xuu71, xuu72, ech), ceh, ech)
new_lt7(xuu641, xuu651, app(ty_[], bfg)) → new_lt12(xuu641, xuu651, bfg)
new_compare6(EQ, GT) → LT
new_esEs27(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs9(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs16(Right(xuu3110000), Right(xuu6000), dbh, app(ty_Maybe, efc)) → new_esEs22(xuu3110000, xuu6000, efc)
new_esEs9(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs13(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs29(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_esEs37(xuu3110002, xuu6002, ty_Double) → new_esEs23(xuu3110002, xuu6002)
new_esEs30(xuu109, xuu111, ty_Double) → new_esEs23(xuu109, xuu111)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Char, dca) → new_esEs13(xuu3110000, xuu6000)
new_ltEs22(xuu96, xuu99, app(app(ty_@2, cdg), cdh)) → new_ltEs7(xuu96, xuu99, cdg, cdh)
new_ltEs23(xuu64, xuu65, app(ty_[], bah)) → new_ltEs11(xuu64, xuu65, bah)
new_lt21(xuu94, xuu97, app(app(app(ty_@3, ccb), ccc), ccd)) → new_lt15(xuu94, xuu97, ccb, ccc, ccd)
new_esEs35(xuu3110000, xuu6000, app(ty_Maybe, fac)) → new_esEs22(xuu3110000, xuu6000, fac)
new_ltEs13(LT, LT) → True
new_lt23(xuu640, xuu650, app(app(app(ty_@3, bg), bh), ca)) → new_lt15(xuu640, xuu650, bg, bh, ca)
new_esEs10(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_primMulNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primPlusNat0(new_primMulNat0(xuu31100000, Succ(xuu60000)), Succ(xuu60000))
new_esEs22(Nothing, Nothing, dcb) → True
new_esEs34(xuu95, xuu98, ty_Char) → new_esEs13(xuu95, xuu98)
new_primPlusNat0(Succ(xuu42200), Succ(xuu12900)) → Succ(Succ(new_primPlusNat0(xuu42200, xuu12900)))
new_lt7(xuu641, xuu651, ty_Char) → new_lt11(xuu641, xuu651)
new_esEs34(xuu95, xuu98, app(app(ty_Either, cch), cda)) → new_esEs16(xuu95, xuu98, cch, cda)
new_compare30(xuu311000, xuu600, app(app(app(ty_@3, bbh), bca), bcb)) → new_compare13(xuu311000, xuu600, bbh, bca, bcb)
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_@2, gd), ge), gf) → new_ltEs7(xuu640, xuu650, gd, ge)
new_asAs(True, xuu127) → xuu127
new_compare112(xuu140, xuu141, True, dhb, dhc) → LT
new_esEs28(xuu641, xuu651, app(app(ty_Either, bfe), bff)) → new_esEs16(xuu641, xuu651, bfe, bff)
new_esEs40(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_ltEs20(xuu83, xuu84, app(app(ty_Either, bhh), caa)) → new_ltEs8(xuu83, xuu84, bhh, caa)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Int) → new_ltEs9(xuu640, xuu650)
new_ltEs6(xuu642, xuu652, app(app(ty_Either, bgf), bgg)) → new_ltEs8(xuu642, xuu652, bgf, bgg)
new_compare30(xuu311000, xuu600, app(app(ty_@2, bbb), bbc)) → new_compare16(xuu311000, xuu600, bbb, bbc)
new_esEs39(xuu3110001, xuu6001, app(ty_Ratio, fha)) → new_esEs25(xuu3110001, xuu6001, fha)
new_esEs17(GT, GT) → True
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Integer) → new_compare11(new_sr0(xuu311000, xuu601), new_sr0(xuu600, xuu311001))
new_ltEs12(Just(xuu640), Nothing, dhd) → False
new_lt20(xuu109, xuu111, ty_Bool) → new_lt17(xuu109, xuu111)
new_compare1(:(xuu311000, xuu311001), [], bba) → GT
new_ltEs16(False, False) → True
new_lt22(xuu95, xuu98, app(ty_Maybe, cdc)) → new_lt13(xuu95, xuu98, cdc)
new_esEs38(xuu3110000, xuu6000, app(app(ty_Either, ffa), ffb)) → new_esEs16(xuu3110000, xuu6000, ffa, ffb)
new_esEs6(xuu311000, xuu600, app(ty_[], fdh)) → new_esEs21(xuu311000, xuu600, fdh)
new_esEs29(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs40(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs5(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs33(xuu94, xuu97, app(app(app(ty_@3, ccb), ccc), ccd)) → new_esEs15(xuu94, xuu97, ccb, ccc, ccd)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Bool) → new_ltEs16(xuu640, xuu650)
new_lt21(xuu94, xuu97, ty_Double) → new_lt14(xuu94, xuu97)
new_esEs15(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dbe, dbf, dbg) → new_asAs(new_esEs35(xuu3110000, xuu6000, dbe), new_asAs(new_esEs36(xuu3110001, xuu6001, dbf), new_esEs37(xuu3110002, xuu6002, dbg)))
new_lt7(xuu641, xuu651, app(ty_Maybe, bfh)) → new_lt13(xuu641, xuu651, bfh)
new_esEs27(xuu640, xuu650, app(app(app(ty_@3, beg), beh), bfa)) → new_esEs15(xuu640, xuu650, beg, beh, bfa)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, egf), egg)) → new_esEs16(xuu3110000, xuu6000, egf, egg)
new_compare15(xuu166, xuu167, xuu168, xuu169, True, xuu171, dge, dgf) → new_compare19(xuu166, xuu167, xuu168, xuu169, True, dge, dgf)
new_ltEs8(Left(xuu640), Right(xuu650), hf, gf) → True
new_esEs4(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Integer) → new_lt18(xuu94, xuu97)
new_esEs6(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu109, xuu111, app(app(app(ty_@3, ga), gb), gc)) → new_esEs15(xuu109, xuu111, ga, gb, gc)
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, cce, cbd, cbe) → new_compare110(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, new_lt21(xuu94, xuu97, cce), new_asAs(new_esEs33(xuu94, xuu97, cce), new_pePe(new_lt22(xuu95, xuu98, cbd), new_asAs(new_esEs34(xuu95, xuu98, cbd), new_ltEs22(xuu96, xuu99, cbe)))), cce, cbd, cbe)
new_esEs20(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs5(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_ltEs24(xuu641, xuu651, app(ty_Maybe, da)) → new_ltEs12(xuu641, xuu651, da)
new_compare6(GT, EQ) → GT
new_esEs6(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs7(xuu311000, xuu600, app(ty_[], dee)) → new_esEs21(xuu311000, xuu600, dee)
new_esEs22(Nothing, Just(xuu6000), dcb) → False
new_esEs22(Just(xuu3110000), Nothing, dcb) → False
new_esEs33(xuu94, xuu97, ty_@0) → new_esEs19(xuu94, xuu97)
new_ltEs20(xuu83, xuu84, ty_Char) → new_ltEs10(xuu83, xuu84)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_[], egh)) → new_esEs21(xuu3110000, xuu6000, egh)
new_primCompAux00(xuu77, GT) → GT
new_compare14(False, True) → LT
new_compare30(xuu311000, xuu600, ty_Double) → new_compare29(xuu311000, xuu600)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs10(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_esEs4(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs36(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_ltEs23(xuu64, xuu65, app(app(app(ty_@3, bfb), bea), beb)) → new_ltEs5(xuu64, xuu65, bfb, bea, beb)
new_lt6(xuu640, xuu650, app(ty_Maybe, bef)) → new_lt13(xuu640, xuu650, bef)
new_lt15(xuu31100, xuu60, cag, cah, cba) → new_esEs12(new_compare13(xuu31100, xuu60, cag, cah, cba))
new_ltEs6(xuu642, xuu652, app(ty_Maybe, bha)) → new_ltEs12(xuu642, xuu652, bha)
new_esEs34(xuu95, xuu98, app(app(ty_@2, ccf), ccg)) → new_esEs24(xuu95, xuu98, ccf, ccg)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_lt20(xuu109, xuu111, app(app(ty_Either, fd), ff)) → new_lt9(xuu109, xuu111, fd, ff)
new_compare30(xuu311000, xuu600, ty_Ordering) → new_compare6(xuu311000, xuu600)
new_primCmpInt(Neg(Succ(xuu3110000)), Pos(xuu600)) → LT
new_esEs9(xuu311000, xuu600, app(ty_Maybe, ebb)) → new_esEs22(xuu311000, xuu600, ebb)
new_compare13(@3(xuu311000, xuu311001, xuu311002), @3(xuu600, xuu601, xuu602), cag, cah, cba) → new_compare27(xuu311000, xuu311001, xuu311002, xuu600, xuu601, xuu602, new_asAs(new_esEs9(xuu311000, xuu600, cag), new_asAs(new_esEs10(xuu311001, xuu601, cah), new_esEs11(xuu311002, xuu602, cba))), cag, cah, cba)
new_lt7(xuu641, xuu651, ty_Float) → new_lt5(xuu641, xuu651)
new_not(True) → False
new_ltEs19(xuu110, xuu112, ty_Ordering) → new_ltEs13(xuu110, xuu112)
new_compare1([], [], bba) → EQ

The set Q consists of the following terms:

new_esEs29(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Bool)
new_ltEs8(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs24(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_esEs17(GT, LT)
new_esEs17(LT, GT)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare27(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_compare113(x0, x1, False, x2, x3)
new_lt6(x0, x1, ty_Int)
new_ltEs16(True, True)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare110(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_compare8(Just(x0), Just(x1), x2)
new_ltEs6(x0, x1, ty_Float)
new_esEs6(x0, x1, ty_Integer)
new_compare12(Left(x0), Left(x1), x2, x3)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Left(x0), Right(x1), x2, x3)
new_esEs16(Right(x0), Left(x1), x2, x3)
new_primEqNat0(Zero, Succ(x0))
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_ltEs8(Left(x0), Left(x1), ty_Double, x2)
new_compare110(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs35(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_Char)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Right(x0), Right(x1), x2, ty_Integer)
new_esEs37(x0, x1, ty_Double)
new_ltEs8(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs8(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs5(x0, x1, ty_@0)
new_esEs11(x0, x1, ty_Char)
new_ltEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_esEs17(LT, LT)
new_lt7(x0, x1, ty_Double)
new_lt21(x0, x1, app(ty_[], x2))
new_esEs16(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Right(x0), Right(x1), x2, ty_Double)
new_esEs32(x0, x1, ty_Integer)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Integer)
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, LT)
new_compare12(Right(x0), Right(x1), x2, x3)
new_compare26(Char(x0), Char(x1))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs24(x0, x1, ty_@0)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Left(x0), Left(x1), ty_Char, x2)
new_compare10(x0, x1)
new_esEs16(Left(x0), Left(x1), ty_@0, x2)
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(Just(x0), Just(x1), ty_@0)
new_esEs36(x0, x1, ty_@0)
new_esEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Ordering)
new_compare18(x0, x1, False, x2)
new_lt12(x0, x1, x2)
new_lt7(x0, x1, ty_@0)
new_ltEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_compare24(x0, x1, True, x2)
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Char)
new_compare14(True, True)
new_esEs28(x0, x1, ty_Integer)
new_ltEs8(Left(x0), Left(x1), ty_@0, x2)
new_ltEs21(x0, x1, ty_Char)
new_esEs17(GT, EQ)
new_esEs17(EQ, GT)
new_esEs7(x0, x1, ty_@0)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, ty_Float)
new_lt22(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Ordering)
new_lt8(x0, x1, x2, x3)
new_lt20(x0, x1, ty_Integer)
new_compare6(LT, EQ)
new_compare6(EQ, LT)
new_ltEs20(x0, x1, ty_@0)
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_lt16(x0, x1, x2)
new_ltEs8(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs8(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Bool)
new_esEs16(Left(x0), Left(x1), ty_Double, x2)
new_esEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Double)
new_compare17(@0, @0)
new_esEs6(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Float)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare30(x0, x1, ty_Integer)
new_primMulInt(Pos(x0), Pos(x1))
new_compare29(Double(x0, x1), Double(x2, x3))
new_esEs22(Just(x0), Just(x1), ty_Ordering)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_compare1([], :(x0, x1), x2)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_lt21(x0, x1, ty_@0)
new_primPlusNat0(Zero, Succ(x0))
new_esEs21([], [], x0)
new_lt20(x0, x1, ty_Bool)
new_lt23(x0, x1, app(ty_[], x2))
new_esEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Int)
new_compare30(x0, x1, ty_Double)
new_compare30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, ty_Float)
new_compare16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs40(x0, x1, app(app(ty_@2, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_esEs40(x0, x1, app(ty_Maybe, x2))
new_ltEs22(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Integer)
new_lt6(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Ordering)
new_esEs17(GT, GT)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, ty_Ordering)
new_lt15(x0, x1, x2, x3, x4)
new_esEs22(Nothing, Nothing, x0)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs37(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Bool)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Int)
new_esEs37(x0, x1, ty_Integer)
new_ltEs4(x0, x1)
new_esEs28(x0, x1, ty_Ordering)
new_esEs7(x0, x1, ty_Bool)
new_esEs6(x0, x1, ty_Bool)
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_esEs40(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(x0, x1, ty_@0)
new_compare8(Nothing, Just(x0), x1)
new_ltEs20(x0, x1, app(ty_[], x2))
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Double)
new_esEs38(x0, x1, ty_Int)
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, ty_Int)
new_primEqNat0(Zero, Zero)
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_esEs39(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs22(Just(x0), Just(x1), ty_Char)
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs35(x0, x1, ty_Bool)
new_pePe(False, x0)
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(Just(x0), Nothing, x1)
new_esEs39(x0, x1, ty_Char)
new_compare112(x0, x1, False, x2, x3)
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(Nothing, Just(x0), x1)
new_ltEs13(EQ, EQ)
new_ltEs12(Just(x0), Just(x1), app(ty_[], x2))
new_lt21(x0, x1, ty_Float)
new_esEs7(x0, x1, ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_esEs16(Left(x0), Left(x1), ty_Integer, x2)
new_esEs35(x0, x1, ty_Integer)
new_lt22(x0, x1, ty_Float)
new_lt7(x0, x1, ty_Char)
new_esEs22(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primPlusNat0(Succ(x0), Zero)
new_esEs38(x0, x1, ty_Char)
new_lt21(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_esEs33(x0, x1, ty_Float)
new_lt7(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, app(ty_[], x2))
new_compare1(:(x0, x1), :(x2, x3), x4)
new_esEs12(LT)
new_ltEs17(x0, x1)
new_ltEs23(x0, x1, ty_Char)
new_esEs36(x0, x1, ty_Double)
new_ltEs8(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_primCmpNat0(Succ(x0), Zero)
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs26(False, True)
new_esEs26(True, False)
new_esEs25(:%(x0, x1), :%(x2, x3), x4)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_compare8(Nothing, Nothing, x0)
new_esEs29(x0, x1, ty_Integer)
new_esEs16(Left(x0), Left(x1), ty_Bool, x2)
new_lt22(x0, x1, ty_Char)
new_lt6(x0, x1, ty_Ordering)
new_esEs38(x0, x1, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs37(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Integer)
new_esEs30(x0, x1, ty_@0)
new_esEs16(Left(x0), Left(x1), ty_Int, x2)
new_compare8(Just(x0), Nothing, x1)
new_ltEs13(EQ, LT)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_ltEs13(LT, EQ)
new_esEs27(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt23(x0, x1, ty_Integer)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs15(x0, x1, x2)
new_esEs38(x0, x1, ty_Float)
new_esEs27(x0, x1, ty_Int)
new_esEs7(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_Int)
new_esEs36(x0, x1, ty_Integer)
new_ltEs11(x0, x1, x2)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs12(Just(x0), Just(x1), ty_Int)
new_esEs5(x0, x1, ty_Double)
new_compare14(False, True)
new_compare14(True, False)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Ordering)
new_esEs14(x0, x1)
new_ltEs20(x0, x1, ty_Double)
new_primMulNat0(Zero, Succ(x0))
new_compare210(x0, x1, True, x2, x3)
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_compare1(:(x0, x1), [], x2)
new_lt7(x0, x1, ty_Integer)
new_compare28(x0, x1, False, x2, x3)
new_esEs22(Just(x0), Just(x1), ty_Double)
new_compare6(EQ, EQ)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_ltEs8(Right(x0), Right(x1), x2, ty_Bool)
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs38(x0, x1, ty_Ordering)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_compare113(x0, x1, True, x2, x3)
new_esEs22(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Int)
new_esEs8(x0, x1, ty_Integer)
new_compare6(LT, GT)
new_compare7(Float(x0, x1), Float(x2, x3))
new_compare6(GT, LT)
new_esEs36(x0, x1, ty_Bool)
new_lt22(x0, x1, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, ty_@0)
new_ltEs19(x0, x1, ty_Integer)
new_compare30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Integer)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_compare6(LT, LT)
new_ltEs22(x0, x1, ty_Int)
new_esEs24(@2(x0, x1), @2(x2, x3), x4, x5)
new_compare13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs31(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Char)
new_ltEs8(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs40(x0, x1, ty_Bool)
new_esEs21([], :(x0, x1), x2)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs27(x0, x1, ty_Char)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs11(x0, x1, ty_@0)
new_ltEs23(x0, x1, ty_Float)
new_lt21(x0, x1, ty_Char)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs37(x0, x1, ty_Char)
new_primPlusNat0(Zero, Zero)
new_compare24(x0, x1, False, x2)
new_esEs8(x0, x1, ty_Int)
new_esEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs40(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Zero)
new_lt18(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Int)
new_esEs36(x0, x1, ty_Int)
new_esEs6(x0, x1, ty_@0)
new_esEs4(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Float)
new_lt11(x0, x1)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, ty_Double)
new_compare30(x0, x1, ty_Bool)
new_esEs40(x0, x1, ty_Float)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(x0, x1, ty_Ordering)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs39(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs40(x0, x1, ty_Char)
new_primCompAux00(x0, GT)
new_ltEs21(x0, x1, ty_Int)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs16(Right(x0), Right(x1), x2, ty_Int)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_compare25(x0, x1, x2, x3, True, x4, x5)
new_ltEs22(x0, x1, ty_Double)
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs22(Just(x0), Just(x1), ty_Integer)
new_esEs8(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Double)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs40(x0, x1, app(ty_Ratio, x2))
new_esEs40(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Float)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_ltEs22(x0, x1, app(ty_[], x2))
new_sr(x0, x1)
new_esEs13(Char(x0), Char(x1))
new_ltEs12(Just(x0), Nothing, x1)
new_lt6(x0, x1, ty_Double)
new_ltEs23(x0, x1, ty_Int)
new_ltEs22(x0, x1, ty_Ordering)
new_lt7(x0, x1, app(ty_Maybe, x2))
new_compare30(x0, x1, app(ty_[], x2))
new_compare30(x0, x1, ty_Ordering)
new_asAs(False, x0)
new_ltEs6(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs21(:(x0, x1), :(x2, x3), x4)
new_esEs10(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, ty_Float)
new_lt20(x0, x1, ty_Float)
new_esEs11(x0, x1, app(ty_[], x2))
new_compare11(Integer(x0), Integer(x1))
new_ltEs13(GT, EQ)
new_ltEs13(EQ, GT)
new_esEs8(x0, x1, ty_Double)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_esEs22(Just(x0), Just(x1), ty_Float)
new_esEs37(x0, x1, ty_Float)
new_esEs36(x0, x1, ty_Float)
new_esEs16(Left(x0), Left(x1), ty_Float, x2)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs26(True, True)
new_esEs35(x0, x1, ty_Int)
new_lt23(x0, x1, ty_Double)
new_compare12(Right(x0), Left(x1), x2, x3)
new_compare12(Left(x0), Right(x1), x2, x3)
new_lt6(x0, x1, ty_Bool)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_lt14(x0, x1)
new_lt23(x0, x1, ty_Bool)
new_esEs10(x0, x1, ty_Int)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Bool)
new_esEs11(x0, x1, ty_Float)
new_esEs35(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Char)
new_esEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs28(x0, x1, ty_Bool)
new_esEs30(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs14(x0, x1)
new_pePe(True, x0)
new_esEs30(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Ordering)
new_esEs27(x0, x1, ty_Float)
new_esEs22(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs39(x0, x1, ty_@0)
new_ltEs13(LT, GT)
new_compare30(x0, x1, app(ty_Ratio, x2))
new_ltEs13(GT, LT)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(Just(x0), Just(x1), ty_@0)
new_ltEs8(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_ltEs6(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Bool)
new_ltEs23(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_compare25(x0, x1, x2, x3, False, x4, x5)
new_compare19(x0, x1, x2, x3, True, x4, x5)
new_ltEs8(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs23(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_@0)
new_compare30(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_@0)
new_compare15(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(Just(x0), Just(x1), ty_Int)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Succ(x0))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs27(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, ty_Int)
new_primPlusNat0(Succ(x0), Succ(x1))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt23(x0, x1, ty_@0)
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Bool)
new_esEs16(Right(x0), Right(x1), x2, ty_Double)
new_lt6(x0, x1, ty_Integer)
new_esEs38(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs22(x0, x1, ty_Char)
new_esEs18(Integer(x0), Integer(x1))
new_lt22(x0, x1, ty_Double)
new_esEs22(Just(x0), Just(x1), ty_Bool)
new_compare210(x0, x1, False, x2, x3)
new_esEs39(x0, x1, ty_Int)
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(Just(x0), Just(x1), ty_Double)
new_esEs22(Just(x0), Just(x1), app(ty_[], x2))
new_lt21(x0, x1, ty_Int)
new_ltEs8(Right(x0), Right(x1), x2, ty_Char)
new_esEs7(x0, x1, app(ty_[], x2))
new_lt23(x0, x1, ty_Float)
new_ltEs16(False, True)
new_ltEs16(True, False)
new_esEs27(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Ordering)
new_lt21(x0, x1, ty_Integer)
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs12(Just(x0), Just(x1), ty_Bool)
new_lt13(x0, x1, x2)
new_ltEs8(Left(x0), Left(x1), ty_Float, x2)
new_ltEs24(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Bool)
new_ltEs8(Right(x0), Right(x1), x2, ty_Int)
new_compare111(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt19(x0, x1)
new_ltEs9(x0, x1)
new_esEs36(x0, x1, ty_Char)
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, ty_Float)
new_primEqNat0(Succ(x0), Zero)
new_lt7(x0, x1, app(ty_Ratio, x2))
new_ltEs24(x0, x1, ty_Integer)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Double)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs37(x0, x1, ty_Int)
new_ltEs12(Nothing, Nothing, x0)
new_ltEs8(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primCmpNat0(Zero, Zero)
new_esEs29(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Float)
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, ty_@0)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare28(x0, x1, True, x2, x3)
new_esEs37(x0, x1, ty_@0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs13(LT, LT)
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs22(Nothing, Just(x0), x1)
new_esEs33(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Int)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Double)
new_esEs40(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_@0)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, ty_Bool)
new_esEs40(x0, x1, ty_Int)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_Char)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs22(x0, x1, ty_Integer)
new_lt10(x0, x1)
new_esEs35(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_Char)
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, ty_Double)
new_esEs40(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Left(x0), Right(x1), x2, x3)
new_ltEs8(Right(x0), Left(x1), x2, x3)
new_lt22(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, ty_@0)
new_compare19(x0, x1, x2, x3, False, x4, x5)
new_esEs11(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Int)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Double)
new_esEs28(x0, x1, ty_Double)
new_esEs22(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs34(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Char)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare30(x0, x1, ty_@0)
new_ltEs13(GT, GT)
new_esEs39(x0, x1, ty_Bool)
new_ltEs22(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Ordering)
new_esEs34(x0, x1, ty_@0)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs5(x0, x1, ty_Int)
new_esEs10(x0, x1, ty_Float)
new_esEs34(x0, x1, ty_Ordering)
new_esEs37(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Char)
new_esEs4(x0, x1, ty_Bool)
new_esEs10(x0, x1, ty_Char)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Float)
new_not(True)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, ty_Bool)
new_primCompAux0(x0, x1, x2, x3)
new_lt23(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_@0)
new_ltEs12(Just(x0), Just(x1), ty_Integer)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_lt23(x0, x1, ty_Char)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_@0)
new_esEs7(x0, x1, ty_Integer)
new_lt7(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_ltEs8(Right(x0), Right(x1), x2, ty_Float)
new_ltEs12(Just(x0), Just(x1), ty_Ordering)
new_esEs8(x0, x1, app(ty_[], x2))
new_lt4(x0, x1)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, ty_Float)
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs39(x0, x1, ty_Integer)
new_sr0(Integer(x0), Integer(x1))
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs12(EQ)
new_esEs34(x0, x1, ty_Integer)
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(True, x0)
new_ltEs10(x0, x1)
new_ltEs8(Right(x0), Right(x1), x2, ty_@0)
new_esEs29(x0, x1, ty_Double)
new_esEs33(x0, x1, ty_Integer)
new_ltEs12(Just(x0), Just(x1), ty_Char)
new_compare6(GT, GT)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare14(False, False)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Integer)
new_ltEs23(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Int)
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_lt21(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Int)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs21(:(x0, x1), [], x2)
new_esEs28(x0, x1, app(ty_[], x2))
new_compare30(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs6(x0, x1, ty_Int)
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs8(Left(x0), Left(x1), ty_Int, x2)
new_esEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt21(x0, x1, ty_Ordering)
new_fsEs(x0)
new_lt17(x0, x1)
new_esEs27(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Ordering)
new_compare27(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt22(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_ltEs8(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs11(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Succ(x1))
new_lt23(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_ltEs6(x0, x1, ty_Ordering)
new_esEs40(x0, x1, ty_Integer)
new_compare30(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_@0)
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs40(x0, x1, ty_Ordering)
new_esEs12(GT)
new_lt7(x0, x1, ty_Float)
new_esEs30(x0, x1, ty_Ordering)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs5(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Double)
new_esEs26(False, False)
new_lt9(x0, x1, x2, x3)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs24(x0, x1, app(ty_[], x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_compare6(GT, EQ)
new_compare6(EQ, GT)
new_ltEs20(x0, x1, ty_Float)
new_ltEs22(x0, x1, ty_Bool)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_esEs20(Float(x0, x1), Float(x2, x3))
new_esEs8(x0, x1, ty_Bool)
new_esEs17(EQ, EQ)
new_esEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs19(@0, @0)
new_lt5(x0, x1)
new_compare1([], [], x0)
new_esEs34(x0, x1, ty_Char)
new_esEs17(LT, EQ)
new_esEs17(EQ, LT)
new_lt20(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_Ordering)
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Char)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(False, False)
new_ltEs12(Just(x0), Just(x1), ty_Float)
new_compare15(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_compare30(x0, x1, ty_Int)
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_compare112(x0, x1, True, x2, x3)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_@0)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs16(Right(x0), Right(x1), x2, ty_Char)
new_compare18(x0, x1, True, x2)
new_lt23(x0, x1, ty_Int)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs16(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs18(x0, x1)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof
                                  ↳ QDP

Q DP problem:
The TRS P consists of the following rules:

new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, h, ba) → new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_gt(xuu22, xuu17, h), h, ba)
new_addToFM_C1(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bb, bc) → new_addToFM_C(xuu38, xuu39, xuu40, bb, bc)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba) → new_addToFM_C(xuu20, xuu22, xuu23, h, ba)
new_addToFM_C(Branch(xuu60, xuu61, xuu62, xuu63, xuu64), xuu31100, xuu31101, bd, be) → new_addToFM_C2(xuu60, xuu61, xuu62, xuu63, xuu64, xuu31100, xuu31101, new_lt24(xuu31100, xuu60, bd), bd, be)

The TRS R consists of the following rules:

new_esEs9(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt7(xuu641, xuu651, ty_Int) → new_lt10(xuu641, xuu651)
new_esEs37(xuu3110002, xuu6002, ty_Bool) → new_esEs26(xuu3110002, xuu6002)
new_ltEs20(xuu83, xuu84, ty_Int) → new_ltEs9(xuu83, xuu84)
new_esEs7(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt20(xuu109, xuu111, ty_Int) → new_lt10(xuu109, xuu111)
new_ltEs24(xuu641, xuu651, app(app(ty_@2, gab), gac)) → new_ltEs7(xuu641, xuu651, gab, gac)
new_esEs8(xuu311000, xuu600, app(app(app(ty_@3, bg), bh), ca)) → new_esEs15(xuu311000, xuu600, bg, bh, ca)
new_lt20(xuu109, xuu111, ty_Char) → new_lt11(xuu109, xuu111)
new_lt20(xuu109, xuu111, app(ty_Ratio, bef)) → new_lt16(xuu109, xuu111, bef)
new_lt6(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_esEs6(xuu311000, xuu600, app(ty_Maybe, fcb)) → new_esEs22(xuu311000, xuu600, fcb)
new_esEs38(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_ltEs8(Left(xuu640), Left(xuu650), ty_@0, cef) → new_ltEs18(xuu640, xuu650)
new_compare8(Nothing, Just(xuu600), bf) → LT
new_esEs10(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_esEs29(xuu3110000, xuu6000, app(ty_[], bcf)) → new_esEs21(xuu3110000, xuu6000, bcf)
new_compare6(EQ, EQ) → EQ
new_ltEs12(Nothing, Nothing, cbd) → True
new_ltEs20(xuu83, xuu84, app(ty_Ratio, cea)) → new_ltEs15(xuu83, xuu84, cea)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_@0) → new_ltEs18(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(app(ty_Either, ehb), ehc)) → new_esEs16(xuu3110001, xuu6001, ehb, ehc)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare19(xuu166, xuu167, xuu168, xuu169, False, cae, caf) → GT
new_esEs4(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_ltEs21(xuu71, xuu72, ty_Float) → new_ltEs4(xuu71, xuu72)
new_esEs39(xuu3110001, xuu6001, app(ty_[], fgc)) → new_esEs21(xuu3110001, xuu6001, fgc)
new_ltEs6(xuu642, xuu652, app(app(app(ty_@3, baa), bab), bac)) → new_ltEs5(xuu642, xuu652, baa, bab, bac)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs8(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_lt20(xuu109, xuu111, ty_Integer) → new_lt18(xuu109, xuu111)
new_esEs7(xuu311000, xuu600, app(app(ty_Either, fda), fdb)) → new_esEs16(xuu311000, xuu600, fda, fdb)
new_ltEs16(False, True) → True
new_ltEs24(xuu641, xuu651, ty_Bool) → new_ltEs16(xuu641, xuu651)
new_lt20(xuu109, xuu111, app(app(ty_@2, bde), bdf)) → new_lt8(xuu109, xuu111, bde, bdf)
new_lt20(xuu109, xuu111, app(ty_Maybe, beb)) → new_lt13(xuu109, xuu111, beb)
new_compare30(xuu311000, xuu600, ty_Char) → new_compare26(xuu311000, xuu600)
new_ltEs16(True, False) → False
new_compare1([], :(xuu600, xuu601), df) → LT
new_esEs10(xuu311001, xuu601, app(ty_Ratio, dbe)) → new_esEs25(xuu311001, xuu601, dbe)
new_ltEs19(xuu110, xuu112, ty_Bool) → new_ltEs16(xuu110, xuu112)
new_esEs40(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(app(app(ty_@3, egg), egh), eha)) → new_esEs15(xuu3110001, xuu6001, egg, egh, eha)
new_esEs7(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_esEs7(xuu311000, xuu600, app(ty_Maybe, fdd)) → new_esEs22(xuu311000, xuu600, fdd)
new_ltEs13(LT, EQ) → True
new_ltEs24(xuu641, xuu651, ty_Int) → new_ltEs9(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Double) → new_esEs23(xuu311002, xuu602)
new_ltEs22(xuu96, xuu99, app(app(app(ty_@3, edg), edh), eea)) → new_ltEs5(xuu96, xuu99, edg, edh, eea)
new_esEs30(xuu109, xuu111, app(app(ty_Either, bdg), bdh)) → new_esEs16(xuu109, xuu111, bdg, bdh)
new_esEs28(xuu641, xuu651, ty_Bool) → new_esEs26(xuu641, xuu651)
new_ltEs6(xuu642, xuu652, app(ty_Ratio, bad)) → new_ltEs15(xuu642, xuu652, bad)
new_esEs29(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs28(xuu641, xuu651, app(ty_Ratio, hb)) → new_esEs25(xuu641, xuu651, hb)
new_esEs9(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_Double) → new_esEs23(xuu95, xuu98)
new_esEs35(xuu3110000, xuu6000, app(app(ty_@2, egd), ege)) → new_esEs24(xuu3110000, xuu6000, egd, ege)
new_gt(xuu22, xuu17, ty_Ordering) → new_esEs41(new_compare6(xuu22, xuu17))
new_lt4(xuu31100, xuu60) → new_esEs12(new_compare6(xuu31100, xuu60))
new_lt22(xuu95, xuu98, ty_Float) → new_lt5(xuu95, xuu98)
new_compare26(Char(xuu311000), Char(xuu600)) → new_primCmpNat0(xuu311000, xuu600)
new_esEs40(xuu640, xuu650, app(app(app(ty_@3, fhf), fhg), fhh)) → new_esEs15(xuu640, xuu650, fhf, fhg, fhh)
new_pePe(False, xuu199) → xuu199
new_lt6(xuu640, xuu650, app(ty_Ratio, fh)) → new_lt16(xuu640, xuu650, fh)
new_lt7(xuu641, xuu651, app(app(ty_@2, ga), gb)) → new_lt8(xuu641, xuu651, ga, gb)
new_esEs39(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs5(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_lt22(xuu95, xuu98, app(app(app(ty_@3, ece), ecf), ecg)) → new_lt15(xuu95, xuu98, ece, ecf, ecg)
new_compare25(xuu109, xuu110, xuu111, xuu112, True, bdc, bdd) → EQ
new_esEs28(xuu641, xuu651, ty_Integer) → new_esEs18(xuu641, xuu651)
new_esEs36(xuu3110001, xuu6001, app(ty_Ratio, ehh)) → new_esEs25(xuu3110001, xuu6001, ehh)
new_esEs36(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_lt21(xuu94, xuu97, app(app(ty_@2, eae), eaf)) → new_lt8(xuu94, xuu97, eae, eaf)
new_compare30(xuu311000, xuu600, app(ty_[], deh)) → new_compare1(xuu311000, xuu600, deh)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, dga), dgb), bge) → new_esEs16(xuu3110000, xuu6000, dga, dgb)
new_esEs6(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs39(xuu3110001, xuu6001, app(ty_Maybe, fgd)) → new_esEs22(xuu3110001, xuu6001, fgd)
new_esEs40(xuu640, xuu650, app(app(ty_@2, fgh), fha)) → new_esEs24(xuu640, xuu650, fgh, fha)
new_esEs6(xuu311000, xuu600, app(app(ty_Either, fbg), fbh)) → new_esEs16(xuu311000, xuu600, fbg, fbh)
new_ltEs6(xuu642, xuu652, app(app(ty_@2, hc), hd)) → new_ltEs7(xuu642, xuu652, hc, hd)
new_esEs33(xuu94, xuu97, ty_Integer) → new_esEs18(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Integer) → new_ltEs17(xuu640, xuu650)
new_esEs12(GT) → False
new_esEs34(xuu95, xuu98, ty_Integer) → new_esEs18(xuu95, xuu98)
new_lt14(xuu31100, xuu60) → new_esEs12(new_compare29(xuu31100, xuu60))
new_esEs39(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Int, cef) → new_ltEs9(xuu640, xuu650)
new_ltEs19(xuu110, xuu112, app(ty_Ratio, bfh)) → new_ltEs15(xuu110, xuu112, bfh)
new_esEs38(xuu3110000, xuu6000, app(app(app(ty_@3, fed), fee), fef)) → new_esEs15(xuu3110000, xuu6000, fed, fee, fef)
new_ltEs20(xuu83, xuu84, app(app(ty_@2, cch), cda)) → new_ltEs7(xuu83, xuu84, cch, cda)
new_esEs6(xuu311000, xuu600, app(app(ty_@2, fcc), fcd)) → new_esEs24(xuu311000, xuu600, fcc, fcd)
new_ltEs23(xuu64, xuu65, ty_Float) → new_ltEs4(xuu64, xuu65)
new_esEs17(LT, LT) → True
new_esEs34(xuu95, xuu98, ty_Ordering) → new_esEs17(xuu95, xuu98)
new_esEs37(xuu3110002, xuu6002, ty_@0) → new_esEs19(xuu3110002, xuu6002)
new_esEs33(xuu94, xuu97, app(app(ty_Either, eag), eah)) → new_esEs16(xuu94, xuu97, eag, eah)
new_esEs36(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Int) → new_esEs14(xuu94, xuu97)
new_lt21(xuu94, xuu97, ty_@0) → new_lt19(xuu94, xuu97)
new_pePe(True, xuu199) → True
new_primEqNat0(Zero, Zero) → True
new_lt23(xuu640, xuu650, app(ty_Ratio, gaa)) → new_lt16(xuu640, xuu650, gaa)
new_compare17(@0, @0) → EQ
new_esEs29(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_esEs12(EQ) → False
new_esEs29(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, app(app(ty_Either, ddd), dde)) → new_ltEs8(xuu71, xuu72, ddd, dde)
new_compare6(EQ, LT) → GT
new_esEs29(xuu3110000, xuu6000, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs15(xuu3110000, xuu6000, bca, bcb, bcc)
new_esEs38(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs32(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_lt7(xuu641, xuu651, app(app(ty_Either, gc), gd)) → new_lt9(xuu641, xuu651, gc, gd)
new_lt7(xuu641, xuu651, ty_Double) → new_lt14(xuu641, xuu651)
new_ltEs6(xuu642, xuu652, ty_Integer) → new_ltEs17(xuu642, xuu652)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_lt19(xuu31100, xuu60) → new_esEs12(new_compare17(xuu31100, xuu60))
new_ltEs21(xuu71, xuu72, ty_Bool) → new_ltEs16(xuu71, xuu72)
new_esEs10(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_esEs9(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, ty_Int) → new_lt10(xuu31100, xuu60)
new_esEs30(xuu109, xuu111, ty_Char) → new_esEs13(xuu109, xuu111)
new_esEs38(xuu3110000, xuu6000, app(app(ty_@2, ffc), ffd)) → new_esEs24(xuu3110000, xuu6000, ffc, ffd)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Int, bge) → new_esEs14(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, ty_Bool) → new_ltEs16(xuu83, xuu84)
new_esEs38(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs6(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, app(app(ty_Either, dd), de)) → new_lt9(xuu31100, xuu60, dd, de)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare30(xuu311000, xuu600, app(ty_Maybe, dfa)) → new_compare8(xuu311000, xuu600, dfa)
new_ltEs9(xuu64, xuu65) → new_fsEs(new_compare10(xuu64, xuu65))
new_compare14(True, True) → EQ
new_lt24(xuu31100, xuu60, ty_Integer) → new_lt18(xuu31100, xuu60)
new_esEs8(xuu311000, xuu600, app(ty_Maybe, ce)) → new_esEs22(xuu311000, xuu600, ce)
new_ltEs21(xuu71, xuu72, ty_Integer) → new_ltEs17(xuu71, xuu72)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, dgd), bge) → new_esEs22(xuu3110000, xuu6000, dgd)
new_lt16(xuu31100, xuu60, eb) → new_esEs12(new_compare9(xuu31100, xuu60, eb))
new_esEs5(xuu311001, xuu601, app(app(ty_@2, caa), cab)) → new_esEs24(xuu311001, xuu601, caa, cab)
new_esEs37(xuu3110002, xuu6002, ty_Char) → new_esEs13(xuu3110002, xuu6002)
new_ltEs13(LT, GT) → True
new_ltEs8(Left(xuu640), Left(xuu650), ty_Bool, cef) → new_ltEs16(xuu640, xuu650)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Ordering, cef) → new_ltEs13(xuu640, xuu650)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Ratio, ccf)) → new_ltEs15(xuu640, xuu650, ccf)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_lt6(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_ltEs22(xuu96, xuu99, app(ty_[], ede)) → new_ltEs11(xuu96, xuu99, ede)
new_esEs4(xuu311000, xuu600, app(app(ty_Either, bgd), bge)) → new_esEs16(xuu311000, xuu600, bgd, bge)
new_compare30(xuu311000, xuu600, app(ty_Ratio, dfe)) → new_compare9(xuu311000, xuu600, dfe)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Char) → new_ltEs10(xuu640, xuu650)
new_lt21(xuu94, xuu97, app(ty_Ratio, ebf)) → new_lt16(xuu94, xuu97, ebf)
new_gt0(xuu22, xuu17) → new_esEs41(new_compare10(xuu22, xuu17))
new_ltEs21(xuu71, xuu72, ty_@0) → new_ltEs18(xuu71, xuu72)
new_esEs39(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_ltEs17(xuu64, xuu65) → new_fsEs(new_compare11(xuu64, xuu65))
new_esEs21([], [], bbh) → True
new_esEs40(xuu640, xuu650, app(app(ty_Either, fhb), fhc)) → new_esEs16(xuu640, xuu650, fhb, fhc)
new_ltEs23(xuu64, xuu65, ty_Char) → new_ltEs10(xuu64, xuu65)
new_compare19(xuu166, xuu167, xuu168, xuu169, True, cae, caf) → LT
new_esEs19(@0, @0) → True
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_ltEs23(xuu64, xuu65, app(ty_Ratio, bae)) → new_ltEs15(xuu64, xuu65, bae)
new_esEs38(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_esEs30(xuu109, xuu111, ty_Float) → new_esEs20(xuu109, xuu111)
new_ltEs19(xuu110, xuu112, ty_Integer) → new_ltEs17(xuu110, xuu112)
new_lt20(xuu109, xuu111, app(ty_[], bea)) → new_lt12(xuu109, xuu111, bea)
new_esEs4(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Ordering) → new_esEs17(xuu311002, xuu602)
new_esEs35(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt24(xuu31100, xuu60, app(ty_[], df)) → new_lt12(xuu31100, xuu60, df)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Int) → new_ltEs9(xuu640, xuu650)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(app(ty_@2, cfh), cga)) → new_ltEs7(xuu640, xuu650, cfh, cga)
new_esEs30(xuu109, xuu111, ty_Integer) → new_esEs18(xuu109, xuu111)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Integer, cef) → new_ltEs17(xuu640, xuu650)
new_lt5(xuu31100, xuu60) → new_esEs12(new_compare7(xuu31100, xuu60))
new_fsEs(xuu194) → new_not(new_esEs17(xuu194, GT))
new_primCmpInt(Neg(Succ(xuu3110000)), Neg(xuu600)) → new_primCmpNat0(xuu600, Succ(xuu3110000))
new_lt21(xuu94, xuu97, app(app(ty_Either, eag), eah)) → new_lt9(xuu94, xuu97, eag, eah)
new_compare6(LT, LT) → EQ
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(app(app(ty_@3, dgh), dha), dhb)) → new_esEs15(xuu3110000, xuu6000, dgh, dha, dhb)
new_compare210(xuu64, xuu65, False, fdh, fea) → new_compare112(xuu64, xuu65, new_ltEs23(xuu64, xuu65, fdh), fdh, fea)
new_esEs27(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_ltEs6(xuu642, xuu652, ty_@0) → new_ltEs18(xuu642, xuu652)
new_ltEs20(xuu83, xuu84, app(ty_Maybe, cde)) → new_ltEs12(xuu83, xuu84, cde)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, dge), dgf), bge) → new_esEs24(xuu3110000, xuu6000, dge, dgf)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_lt22(xuu95, xuu98, ty_Char) → new_lt11(xuu95, xuu98)
new_esEs29(xuu3110000, xuu6000, app(ty_Ratio, bdb)) → new_esEs25(xuu3110000, xuu6000, bdb)
new_compare24(xuu83, xuu84, False, ccg) → new_compare18(xuu83, xuu84, new_ltEs20(xuu83, xuu84, ccg), ccg)
new_esEs40(xuu640, xuu650, app(ty_Maybe, fhe)) → new_esEs22(xuu640, xuu650, fhe)
new_ltEs6(xuu642, xuu652, ty_Ordering) → new_ltEs13(xuu642, xuu652)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Maybe, cfb), cef) → new_ltEs12(xuu640, xuu650, cfb)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, eec), eed), eee)) → new_esEs15(xuu3110000, xuu6000, eec, eed, eee)
new_esEs7(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs25(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), bha) → new_asAs(new_esEs31(xuu3110000, xuu6000, bha), new_esEs32(xuu3110001, xuu6001, bha))
new_ltEs20(xuu83, xuu84, ty_Integer) → new_ltEs17(xuu83, xuu84)
new_lt24(xuu31100, xuu60, ty_Bool) → new_lt17(xuu31100, xuu60)
new_lt7(xuu641, xuu651, ty_Bool) → new_lt17(xuu641, xuu651)
new_esEs4(xuu311000, xuu600, app(app(ty_@2, bgg), bgh)) → new_esEs24(xuu311000, xuu600, bgg, bgh)
new_lt23(xuu640, xuu650, app(ty_Maybe, fhe)) → new_lt13(xuu640, xuu650, fhe)
new_ltEs24(xuu641, xuu651, ty_@0) → new_ltEs18(xuu641, xuu651)
new_esEs5(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Maybe, ccb)) → new_ltEs12(xuu640, xuu650, ccb)
new_ltEs6(xuu642, xuu652, ty_Int) → new_ltEs9(xuu642, xuu652)
new_esEs39(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_esEs34(xuu95, xuu98, ty_Float) → new_esEs20(xuu95, xuu98)
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu6000))) → new_primCmpNat0(Zero, Succ(xuu6000))
new_primCompAux00(xuu77, EQ) → xuu77
new_ltEs23(xuu64, xuu65, app(ty_Maybe, cbd)) → new_ltEs12(xuu64, xuu65, cbd)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Float, bge) → new_esEs20(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Integer) → new_ltEs17(xuu640, xuu650)
new_lt20(xuu109, xuu111, ty_Ordering) → new_lt4(xuu109, xuu111)
new_esEs37(xuu3110002, xuu6002, app(app(app(ty_@3, faa), fab), fac)) → new_esEs15(xuu3110002, xuu6002, faa, fab, fac)
new_esEs28(xuu641, xuu651, app(app(app(ty_@3, gg), gh), ha)) → new_esEs15(xuu641, xuu651, gg, gh, ha)
new_ltEs13(GT, EQ) → False
new_ltEs13(EQ, LT) → False
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Float) → new_ltEs4(xuu640, xuu650)
new_esEs6(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs28(xuu641, xuu651, ty_Double) → new_esEs23(xuu641, xuu651)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Ratio, cff), cef) → new_ltEs15(xuu640, xuu650, cff)
new_ltEs6(xuu642, xuu652, ty_Double) → new_ltEs14(xuu642, xuu652)
new_lt21(xuu94, xuu97, ty_Bool) → new_lt17(xuu94, xuu97)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_not(False) → True
new_esEs10(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs10(xuu311001, xuu601, app(app(ty_Either, dag), dah)) → new_esEs16(xuu311001, xuu601, dag, dah)
new_compare24(xuu83, xuu84, True, ccg) → EQ
new_esEs11(xuu311002, xuu602, ty_@0) → new_esEs19(xuu311002, xuu602)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_@2, cbe), cbf)) → new_ltEs7(xuu640, xuu650, cbe, cbf)
new_ltEs20(xuu83, xuu84, ty_Ordering) → new_ltEs13(xuu83, xuu84)
new_esEs36(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_esEs35(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_lt20(xuu109, xuu111, app(app(app(ty_@3, bec), bed), bee)) → new_lt15(xuu109, xuu111, bec, bed, bee)
new_ltEs24(xuu641, xuu651, app(app(ty_Either, gad), gae)) → new_ltEs8(xuu641, xuu651, gad, gae)
new_ltEs24(xuu641, xuu651, ty_Float) → new_ltEs4(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, app(ty_Ratio, dcg)) → new_esEs25(xuu311002, xuu602, dcg)
new_ltEs6(xuu642, xuu652, app(ty_[], hg)) → new_ltEs11(xuu642, xuu652, hg)
new_esEs39(xuu3110001, xuu6001, app(app(ty_@2, fge), fgf)) → new_esEs24(xuu3110001, xuu6001, fge, fgf)
new_esEs37(xuu3110002, xuu6002, app(ty_Maybe, fag)) → new_esEs22(xuu3110002, xuu6002, fag)
new_esEs40(xuu640, xuu650, app(ty_[], fhd)) → new_esEs21(xuu640, xuu650, fhd)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, xuu188, cag, cah, cba) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, cag, cah, cba)
new_lt23(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_ltEs19(xuu110, xuu112, ty_Int) → new_ltEs9(xuu110, xuu112)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(ty_[], cgd)) → new_ltEs11(xuu640, xuu650, cgd)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Double) → new_ltEs14(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(app(ty_Either, efh), ega)) → new_esEs16(xuu3110000, xuu6000, efh, ega)
new_esEs34(xuu95, xuu98, app(ty_Maybe, ecd)) → new_esEs22(xuu95, xuu98, ecd)
new_esEs7(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Int) → new_lt10(xuu94, xuu97)
new_primMulInt(Neg(xuu3110000), Neg(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_Either, ceg), ceh), cef) → new_ltEs8(xuu640, xuu650, ceg, ceh)
new_ltEs24(xuu641, xuu651, ty_Double) → new_ltEs14(xuu641, xuu651)
new_ltEs4(xuu64, xuu65) → new_fsEs(new_compare7(xuu64, xuu65))
new_compare8(Just(xuu311000), Nothing, bf) → GT
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, ty_Integer) → new_lt18(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Float) → new_esEs20(xuu311002, xuu602)
new_esEs8(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs38(xuu3110000, xuu6000, app(ty_Ratio, ffe)) → new_esEs25(xuu3110000, xuu6000, ffe)
new_gt(xuu22, xuu17, ty_Double) → new_esEs41(new_compare29(xuu22, xuu17))
new_esEs37(xuu3110002, xuu6002, app(app(ty_@2, fah), fba)) → new_esEs24(xuu3110002, xuu6002, fah, fba)
new_esEs5(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_lt22(xuu95, xuu98, app(ty_Ratio, ech)) → new_lt16(xuu95, xuu98, ech)
new_esEs33(xuu94, xuu97, app(ty_[], eba)) → new_esEs21(xuu94, xuu97, eba)
new_esEs38(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_ltEs22(xuu96, xuu99, ty_Float) → new_ltEs4(xuu96, xuu99)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu6000))) → GT
new_esEs6(xuu311000, xuu600, app(ty_Ratio, fce)) → new_esEs25(xuu311000, xuu600, fce)
new_esEs5(xuu311001, xuu601, app(app(ty_Either, bhe), bhf)) → new_esEs16(xuu311001, xuu601, bhe, bhf)
new_esEs29(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_Bool) → new_esEs26(xuu95, xuu98)
new_compare12(Right(xuu311000), Right(xuu600), dd, de) → new_compare28(xuu311000, xuu600, new_esEs7(xuu311000, xuu600, de), dd, de)
new_ltEs22(xuu96, xuu99, app(ty_Ratio, eeb)) → new_ltEs15(xuu96, xuu99, eeb)
new_lt23(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_lt23(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Integer, bge) → new_esEs18(xuu3110000, xuu6000)
new_esEs40(xuu640, xuu650, app(ty_Ratio, gaa)) → new_esEs25(xuu640, xuu650, gaa)
new_esEs33(xuu94, xuu97, app(app(ty_@2, eae), eaf)) → new_esEs24(xuu94, xuu97, eae, eaf)
new_ltEs24(xuu641, xuu651, app(ty_Ratio, gbc)) → new_ltEs15(xuu641, xuu651, gbc)
new_primCompAux0(xuu311000, xuu600, xuu48, df) → new_primCompAux00(xuu48, new_compare30(xuu311000, xuu600, df))
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_@0, bge) → new_esEs19(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, ty_@0) → new_ltEs18(xuu83, xuu84)
new_esEs8(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Char) → new_lt11(xuu94, xuu97)
new_ltEs13(GT, GT) → True
new_lt7(xuu641, xuu651, ty_@0) → new_lt19(xuu641, xuu651)
new_compare6(LT, GT) → LT
new_esEs38(xuu3110000, xuu6000, app(ty_Maybe, ffb)) → new_esEs22(xuu3110000, xuu6000, ffb)
new_lt23(xuu640, xuu650, app(app(ty_Either, fhb), fhc)) → new_lt9(xuu640, xuu650, fhb, fhc)
new_asAs(False, xuu127) → False
new_ltEs10(xuu64, xuu65) → new_fsEs(new_compare26(xuu64, xuu65))
new_ltEs23(xuu64, xuu65, ty_Int) → new_ltEs9(xuu64, xuu65)
new_lt23(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_lt23(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_primMulInt(Pos(xuu3110000), Neg(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_primMulInt(Neg(xuu3110000), Pos(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(app(ty_@2, dhg), dhh)) → new_esEs24(xuu3110000, xuu6000, dhg, dhh)
new_lt20(xuu109, xuu111, ty_@0) → new_lt19(xuu109, xuu111)
new_lt9(xuu31100, xuu60, dd, de) → new_esEs12(new_compare12(xuu31100, xuu60, dd, de))
new_esEs27(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs18(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_compare11(Integer(xuu311000), Integer(xuu600)) → new_primCmpInt(xuu311000, xuu600)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Ordering, bge) → new_esEs17(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, app(ty_Ratio, dec)) → new_ltEs15(xuu71, xuu72, dec)
new_lt6(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_lt7(xuu641, xuu651, app(ty_Ratio, hb)) → new_lt16(xuu641, xuu651, hb)
new_lt24(xuu31100, xuu60, app(app(app(ty_@3, dg), dh), ea)) → new_lt15(xuu31100, xuu60, dg, dh, ea)
new_ltEs14(xuu64, xuu65) → new_fsEs(new_compare29(xuu64, xuu65))
new_esEs28(xuu641, xuu651, ty_@0) → new_esEs19(xuu641, xuu651)
new_lt17(xuu31100, xuu60) → new_esEs12(new_compare14(xuu31100, xuu60))
new_compare8(Just(xuu311000), Just(xuu600), bf) → new_compare24(xuu311000, xuu600, new_esEs8(xuu311000, xuu600, bf), bf)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, efd)) → new_esEs25(xuu3110000, xuu6000, efd)
new_esEs36(xuu3110001, xuu6001, app(ty_[], ehd)) → new_esEs21(xuu3110001, xuu6001, ehd)
new_esEs8(xuu311000, xuu600, app(app(ty_@2, cf), cg)) → new_esEs24(xuu311000, xuu600, cf, cg)
new_esEs9(xuu311000, xuu600, app(ty_[], chg)) → new_esEs21(xuu311000, xuu600, chg)
new_ltEs12(Nothing, Just(xuu650), cbd) → True
new_esEs17(LT, EQ) → False
new_esEs17(EQ, LT) → False
new_compare18(xuu154, xuu155, False, cad) → GT
new_ltEs6(xuu642, xuu652, ty_Bool) → new_ltEs16(xuu642, xuu652)
new_lt24(xuu31100, xuu60, ty_Ordering) → new_lt4(xuu31100, xuu60)
new_esEs41(GT) → True
new_esEs33(xuu94, xuu97, ty_Ordering) → new_esEs17(xuu94, xuu97)
new_compare15(xuu166, xuu167, xuu168, xuu169, False, xuu171, cae, caf) → new_compare19(xuu166, xuu167, xuu168, xuu169, xuu171, cae, caf)
new_esEs4(xuu311000, xuu600, app(ty_[], bbh)) → new_esEs21(xuu311000, xuu600, bbh)
new_compare28(xuu71, xuu72, False, dch, dda) → new_compare113(xuu71, xuu72, new_ltEs21(xuu71, xuu72, dda), dch, dda)
new_esEs21(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), bbh) → new_asAs(new_esEs29(xuu3110000, xuu6000, bbh), new_esEs21(xuu3110001, xuu6001, bbh))
new_lt7(xuu641, xuu651, app(ty_[], ge)) → new_lt12(xuu641, xuu651, ge)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(ty_Maybe, dhf)) → new_esEs22(xuu3110000, xuu6000, dhf)
new_esEs37(xuu3110002, xuu6002, ty_Double) → new_esEs23(xuu3110002, xuu6002)
new_esEs30(xuu109, xuu111, ty_Double) → new_esEs23(xuu109, xuu111)
new_ltEs22(xuu96, xuu99, app(app(ty_@2, eda), edb)) → new_ltEs7(xuu96, xuu99, eda, edb)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Char, bge) → new_esEs13(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(ty_Maybe, egc)) → new_esEs22(xuu3110000, xuu6000, egc)
new_ltEs13(LT, LT) → True
new_esEs34(xuu95, xuu98, app(app(ty_Either, eca), ecb)) → new_esEs16(xuu95, xuu98, eca, ecb)
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_@2, ced), cee), cef) → new_ltEs7(xuu640, xuu650, ced, cee)
new_asAs(True, xuu127) → xuu127
new_compare112(xuu140, xuu141, True, cbb, cbc) → LT
new_esEs28(xuu641, xuu651, app(app(ty_Either, gc), gd)) → new_esEs16(xuu641, xuu651, gc, gd)
new_esEs40(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_esEs39(xuu3110001, xuu6001, app(ty_Ratio, fgg)) → new_esEs25(xuu3110001, xuu6001, fgg)
new_compare30(xuu311000, xuu600, app(app(ty_@2, ded), dee)) → new_compare16(xuu311000, xuu600, ded, dee)
new_ltEs6(xuu642, xuu652, app(app(ty_Either, he), hf)) → new_ltEs8(xuu642, xuu652, he, hf)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Int) → new_ltEs9(xuu640, xuu650)
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Integer) → new_compare11(new_sr0(xuu311000, xuu601), new_sr0(xuu600, xuu311001))
new_lt20(xuu109, xuu111, ty_Bool) → new_lt17(xuu109, xuu111)
new_ltEs12(Just(xuu640), Nothing, cbd) → False
new_ltEs16(False, False) → True
new_compare1(:(xuu311000, xuu311001), [], df) → GT
new_esEs38(xuu3110000, xuu6000, app(app(ty_Either, feg), feh)) → new_esEs16(xuu3110000, xuu6000, feg, feh)
new_lt22(xuu95, xuu98, app(ty_Maybe, ecd)) → new_lt13(xuu95, xuu98, ecd)
new_esEs29(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs15(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), bga, bgb, bgc) → new_asAs(new_esEs35(xuu3110000, xuu6000, bga), new_asAs(new_esEs36(xuu3110001, xuu6001, bgb), new_esEs37(xuu3110002, xuu6002, bgc)))
new_lt21(xuu94, xuu97, ty_Double) → new_lt14(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Bool) → new_ltEs16(xuu640, xuu650)
new_lt7(xuu641, xuu651, app(ty_Maybe, gf)) → new_lt13(xuu641, xuu651, gf)
new_compare15(xuu166, xuu167, xuu168, xuu169, True, xuu171, cae, caf) → new_compare19(xuu166, xuu167, xuu168, xuu169, True, cae, caf)
new_ltEs8(Left(xuu640), Right(xuu650), cfg, cef) → True
new_esEs4(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs6(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, eab, eac, ead) → new_compare110(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, new_lt21(xuu94, xuu97, eab), new_asAs(new_esEs33(xuu94, xuu97, eab), new_pePe(new_lt22(xuu95, xuu98, eac), new_asAs(new_esEs34(xuu95, xuu98, eac), new_ltEs22(xuu96, xuu99, ead)))), eab, eac, ead)
new_ltEs24(xuu641, xuu651, app(ty_Maybe, gag)) → new_ltEs12(xuu641, xuu651, gag)
new_gt(xuu22, xuu17, ty_@0) → new_esEs41(new_compare17(xuu22, xuu17))
new_esEs6(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs7(xuu311000, xuu600, app(ty_[], fdc)) → new_esEs21(xuu311000, xuu600, fdc)
new_esEs22(Just(xuu3110000), Nothing, bgf) → False
new_esEs22(Nothing, Just(xuu6000), bgf) → False
new_esEs33(xuu94, xuu97, ty_@0) → new_esEs19(xuu94, xuu97)
new_ltEs20(xuu83, xuu84, ty_Char) → new_ltEs10(xuu83, xuu84)
new_compare14(False, True) → LT
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_lt20(xuu109, xuu111, app(app(ty_Either, bdg), bdh)) → new_lt9(xuu109, xuu111, bdg, bdh)
new_ltEs19(xuu110, xuu112, ty_Ordering) → new_ltEs13(xuu110, xuu112)
new_not(True) → False
new_compare1([], [], df) → EQ
new_lt6(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_esEs38(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_lt21(xuu94, xuu97, ty_Float) → new_lt5(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, ty_Ordering) → new_lt4(xuu641, xuu651)
new_esEs7(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Integer) → new_esEs18(xuu311002, xuu602)
new_esEs28(xuu641, xuu651, ty_Char) → new_esEs13(xuu641, xuu651)
new_ltEs22(xuu96, xuu99, ty_Int) → new_ltEs9(xuu96, xuu99)
new_ltEs12(Just(xuu640), Just(xuu650), ty_@0) → new_ltEs18(xuu640, xuu650)
new_lt22(xuu95, xuu98, ty_Int) → new_lt10(xuu95, xuu98)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_[], dgc), bge) → new_esEs21(xuu3110000, xuu6000, dgc)
new_gt(xuu22, xuu17, app(ty_[], bbb)) → new_esEs41(new_compare1(xuu22, xuu17, bbb))
new_gt(xuu22, xuu17, app(app(ty_@2, baf), bag)) → new_esEs41(new_compare16(xuu22, xuu17, baf, bag))
new_lt6(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_esEs28(xuu641, xuu651, ty_Int) → new_esEs14(xuu641, xuu651)
new_ltEs19(xuu110, xuu112, ty_Float) → new_ltEs4(xuu110, xuu112)
new_lt10(xuu31100, xuu60) → new_esEs12(new_compare10(xuu31100, xuu60))
new_ltEs21(xuu71, xuu72, ty_Char) → new_ltEs10(xuu71, xuu72)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Float, cef) → new_ltEs4(xuu640, xuu650)
new_esEs26(True, True) → True
new_primMulNat0(Zero, Zero) → Zero
new_esEs34(xuu95, xuu98, ty_@0) → new_esEs19(xuu95, xuu98)
new_esEs5(xuu311001, xuu601, app(ty_Maybe, bhh)) → new_esEs22(xuu311001, xuu601, bhh)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_ltEs24(xuu641, xuu651, ty_Integer) → new_ltEs17(xuu641, xuu651)
new_esEs35(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs30(xuu109, xuu111, app(ty_Ratio, bef)) → new_esEs25(xuu109, xuu111, bef)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(ty_Ratio, egf)) → new_esEs25(xuu3110000, xuu6000, egf)
new_ltEs22(xuu96, xuu99, ty_Double) → new_ltEs14(xuu96, xuu99)
new_lt20(xuu109, xuu111, ty_Double) → new_lt14(xuu109, xuu111)
new_esEs36(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(ty_[], dhe)) → new_esEs21(xuu3110000, xuu6000, dhe)
new_compare30(xuu311000, xuu600, ty_Bool) → new_compare14(xuu311000, xuu600)
new_esEs8(xuu311000, xuu600, app(ty_Ratio, da)) → new_esEs25(xuu311000, xuu600, da)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Char, cef) → new_ltEs10(xuu640, xuu650)
new_lt6(xuu640, xuu650, app(app(ty_@2, ef), eg)) → new_lt8(xuu640, xuu650, ef, eg)
new_ltEs22(xuu96, xuu99, app(app(ty_Either, edc), edd)) → new_ltEs8(xuu96, xuu99, edc, edd)
new_esEs8(xuu311000, xuu600, app(app(ty_Either, cb), cc)) → new_esEs16(xuu311000, xuu600, cb, cc)
new_esEs37(xuu3110002, xuu6002, ty_Integer) → new_esEs18(xuu3110002, xuu6002)
new_esEs11(xuu311002, xuu602, app(app(ty_Either, dca), dcb)) → new_esEs16(xuu311002, xuu602, dca, dcb)
new_esEs10(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_compare30(xuu311000, xuu600, ty_Float) → new_compare7(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, app(ty_Maybe, bfd)) → new_ltEs12(xuu110, xuu112, bfd)
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Int) → new_compare10(new_sr(xuu311000, xuu601), new_sr(xuu600, xuu311001))
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, efa)) → new_esEs22(xuu3110000, xuu6000, efa)
new_esEs7(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_esEs40(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_ltEs16(True, True) → True
new_esEs4(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_compare25(xuu109, xuu110, xuu111, xuu112, False, bdc, bdd) → new_compare15(xuu109, xuu110, xuu111, xuu112, new_lt20(xuu109, xuu111, bdc), new_asAs(new_esEs30(xuu109, xuu111, bdc), new_ltEs19(xuu110, xuu112, bdd)), bdc, bdd)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_esEs33(xuu94, xuu97, ty_Bool) → new_esEs26(xuu94, xuu97)
new_esEs6(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_lt18(xuu31100, xuu60) → new_esEs12(new_compare11(xuu31100, xuu60))
new_esEs11(xuu311002, xuu602, app(ty_Maybe, dcd)) → new_esEs22(xuu311002, xuu602, dcd)
new_esEs10(xuu311001, xuu601, app(app(ty_@2, dbc), dbd)) → new_esEs24(xuu311001, xuu601, dbc, dbd)
new_esEs37(xuu3110002, xuu6002, app(ty_Ratio, fbb)) → new_esEs25(xuu3110002, xuu6002, fbb)
new_ltEs15(xuu64, xuu65, bae) → new_fsEs(new_compare9(xuu64, xuu65, bae))
new_compare14(True, False) → GT
new_lt24(xuu31100, xuu60, app(ty_Maybe, bf)) → new_lt13(xuu31100, xuu60, bf)
new_ltEs19(xuu110, xuu112, app(ty_[], bfc)) → new_ltEs11(xuu110, xuu112, bfc)
new_lt22(xuu95, xuu98, app(ty_[], ecc)) → new_lt12(xuu95, xuu98, ecc)
new_esEs31(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, app(app(app(ty_@3, bga), bgb), bgc)) → new_esEs15(xuu311000, xuu600, bga, bgb, bgc)
new_ltEs21(xuu71, xuu72, ty_Int) → new_ltEs9(xuu71, xuu72)
new_esEs27(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_ltEs13(EQ, GT) → True
new_esEs35(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Char) → new_ltEs10(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, app(app(app(ty_@3, efe), eff), efg)) → new_esEs15(xuu3110000, xuu6000, efe, eff, efg)
new_compare6(LT, EQ) → LT
new_lt20(xuu109, xuu111, ty_Float) → new_lt5(xuu109, xuu111)
new_ltEs7(@2(xuu640, xuu641), @2(xuu650, xuu651), feb, fec) → new_pePe(new_lt23(xuu640, xuu650, feb), new_asAs(new_esEs40(xuu640, xuu650, feb), new_ltEs24(xuu641, xuu651, fec)))
new_lt7(xuu641, xuu651, app(app(app(ty_@3, gg), gh), ha)) → new_lt15(xuu641, xuu651, gg, gh, ha)
new_esEs12(LT) → True
new_esEs36(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_compare30(xuu311000, xuu600, ty_Int) → new_compare10(xuu311000, xuu600)
new_primCmpNat0(Zero, Succ(xuu6000)) → LT
new_esEs39(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_gt(xuu22, xuu17, app(app(ty_Either, bah), bba)) → new_esEs41(new_compare12(xuu22, xuu17, bah, bba))
new_ltEs20(xuu83, xuu84, ty_Double) → new_ltEs14(xuu83, xuu84)
new_ltEs22(xuu96, xuu99, ty_Bool) → new_ltEs16(xuu96, xuu99)
new_esEs5(xuu311001, xuu601, app(ty_[], bhg)) → new_esEs21(xuu311001, xuu601, bhg)
new_esEs11(xuu311002, xuu602, app(app(ty_@2, dce), dcf)) → new_esEs24(xuu311002, xuu602, dce, dcf)
new_esEs10(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_esEs9(xuu311000, xuu600, app(ty_Ratio, dac)) → new_esEs25(xuu311000, xuu600, dac)
new_esEs37(xuu3110002, xuu6002, app(app(ty_Either, fad), fae)) → new_esEs16(xuu3110002, xuu6002, fad, fae)
new_esEs8(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_esEs28(xuu641, xuu651, app(app(ty_@2, ga), gb)) → new_esEs24(xuu641, xuu651, ga, gb)
new_esEs27(xuu640, xuu650, app(app(ty_@2, ef), eg)) → new_esEs24(xuu640, xuu650, ef, eg)
new_gt(xuu22, xuu17, ty_Integer) → new_esEs41(new_compare11(xuu22, xuu17))
new_esEs30(xuu109, xuu111, ty_@0) → new_esEs19(xuu109, xuu111)
new_esEs37(xuu3110002, xuu6002, ty_Int) → new_esEs14(xuu3110002, xuu6002)
new_ltEs24(xuu641, xuu651, app(ty_[], gaf)) → new_ltEs11(xuu641, xuu651, gaf)
new_esEs33(xuu94, xuu97, app(ty_Ratio, ebf)) → new_esEs25(xuu94, xuu97, ebf)
new_compare30(xuu311000, xuu600, ty_Integer) → new_compare11(xuu311000, xuu600)
new_compare12(Left(xuu311000), Left(xuu600), dd, de) → new_compare210(xuu311000, xuu600, new_esEs6(xuu311000, xuu600, dd), dd, de)
new_esEs10(xuu311001, xuu601, app(ty_[], dba)) → new_esEs21(xuu311001, xuu601, dba)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, xuu188, cag, cah, cba) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, xuu188, cag, cah, cba)
new_esEs6(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_esEs8(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_gt(xuu22, xuu17, ty_Char) → new_esEs41(new_compare26(xuu22, xuu17))
new_ltEs19(xuu110, xuu112, app(app(ty_Either, bfa), bfb)) → new_ltEs8(xuu110, xuu112, bfa, bfb)
new_compare12(Left(xuu311000), Right(xuu600), dd, de) → LT
new_esEs37(xuu3110002, xuu6002, ty_Float) → new_esEs20(xuu3110002, xuu6002)
new_esEs5(xuu311001, xuu601, app(ty_Ratio, cac)) → new_esEs25(xuu311001, xuu601, cac)
new_esEs27(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs5(xuu311001, xuu601, app(app(app(ty_@3, bhb), bhc), bhd)) → new_esEs15(xuu311001, xuu601, bhb, bhc, bhd)
new_ltEs24(xuu641, xuu651, ty_Char) → new_ltEs10(xuu641, xuu651)
new_lt22(xuu95, xuu98, app(app(ty_@2, ebg), ebh)) → new_lt8(xuu95, xuu98, ebg, ebh)
new_esEs38(xuu3110000, xuu6000, app(ty_[], ffa)) → new_esEs21(xuu3110000, xuu6000, ffa)
new_lt24(xuu31100, xuu60, ty_Double) → new_lt14(xuu31100, xuu60)
new_ltEs23(xuu64, xuu65, ty_Ordering) → new_ltEs13(xuu64, xuu65)
new_esEs4(xuu311000, xuu600, app(ty_Ratio, bha)) → new_esEs25(xuu311000, xuu600, bha)
new_sr(xuu311000, xuu600) → new_primMulInt(xuu311000, xuu600)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs7(xuu311000, xuu600, app(app(ty_@2, fde), fdf)) → new_esEs24(xuu311000, xuu600, fde, fdf)
new_lt24(xuu31100, xuu60, ty_Float) → new_lt5(xuu31100, xuu60)
new_ltEs19(xuu110, xuu112, ty_Char) → new_ltEs10(xuu110, xuu112)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_[], cca)) → new_ltEs11(xuu640, xuu650, cca)
new_esEs9(xuu311000, xuu600, app(app(ty_@2, daa), dab)) → new_esEs24(xuu311000, xuu600, daa, dab)
new_esEs30(xuu109, xuu111, ty_Bool) → new_esEs26(xuu109, xuu111)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Double, cef) → new_ltEs14(xuu640, xuu650)
new_esEs26(False, False) → True
new_esEs28(xuu641, xuu651, app(ty_[], ge)) → new_esEs21(xuu641, xuu651, ge)
new_ltEs23(xuu64, xuu65, ty_Double) → new_ltEs14(xuu64, xuu65)
new_ltEs11(xuu64, xuu65, fbc) → new_fsEs(new_compare1(xuu64, xuu65, fbc))
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_esEs32(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_ltEs20(xuu83, xuu84, app(app(app(ty_@3, cdf), cdg), cdh)) → new_ltEs5(xuu83, xuu84, cdf, cdg, cdh)
new_esEs34(xuu95, xuu98, app(ty_[], ecc)) → new_esEs21(xuu95, xuu98, ecc)
new_lt22(xuu95, xuu98, ty_Ordering) → new_lt4(xuu95, xuu98)
new_esEs27(xuu640, xuu650, app(ty_[], fb)) → new_esEs21(xuu640, xuu650, fb)
new_compare113(xuu147, xuu148, True, ceb, cec) → LT
new_ltEs8(Left(xuu640), Left(xuu650), app(app(app(ty_@3, cfc), cfd), cfe), cef) → new_ltEs5(xuu640, xuu650, cfc, cfd, cfe)
new_gt(xuu22, xuu17, app(ty_Ratio, bbg)) → new_esEs41(new_compare9(xuu22, xuu17, bbg))
new_esEs5(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_esEs30(xuu109, xuu111, app(app(ty_@2, bde), bdf)) → new_esEs24(xuu109, xuu111, bde, bdf)
new_esEs29(xuu3110000, xuu6000, app(ty_Maybe, bcg)) → new_esEs22(xuu3110000, xuu6000, bcg)
new_esEs11(xuu311002, xuu602, app(app(app(ty_@3, dbf), dbg), dbh)) → new_esEs15(xuu311002, xuu602, dbf, dbg, dbh)
new_esEs30(xuu109, xuu111, app(ty_Maybe, beb)) → new_esEs22(xuu109, xuu111, beb)
new_ltEs23(xuu64, xuu65, ty_Bool) → new_ltEs16(xuu64, xuu65)
new_esEs28(xuu641, xuu651, ty_Float) → new_esEs20(xuu641, xuu651)
new_esEs17(EQ, EQ) → True
new_compare16(@2(xuu311000, xuu311001), @2(xuu600, xuu601), db, dc) → new_compare25(xuu311000, xuu311001, xuu600, xuu601, new_asAs(new_esEs4(xuu311000, xuu600, db), new_esEs5(xuu311001, xuu601, dc)), db, dc)
new_lt22(xuu95, xuu98, app(app(ty_Either, eca), ecb)) → new_lt9(xuu95, xuu98, eca, ecb)
new_esEs11(xuu311002, xuu602, ty_Bool) → new_esEs26(xuu311002, xuu602)
new_esEs39(xuu3110001, xuu6001, app(app(app(ty_@3, fff), ffg), ffh)) → new_esEs15(xuu3110001, xuu6001, fff, ffg, ffh)
new_esEs8(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_lt6(xuu640, xuu650, app(app(app(ty_@3, fd), ff), fg)) → new_lt15(xuu640, xuu650, fd, ff, fg)
new_esEs28(xuu641, xuu651, ty_Ordering) → new_esEs17(xuu641, xuu651)
new_compare112(xuu140, xuu141, False, cbb, cbc) → GT
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs22(xuu96, xuu99, app(ty_Maybe, edf)) → new_ltEs12(xuu96, xuu99, edf)
new_esEs40(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs38(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, ty_Int) → new_esEs14(xuu95, xuu98)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, efb), efc)) → new_esEs24(xuu3110000, xuu6000, efb, efc)
new_ltEs21(xuu71, xuu72, app(ty_[], ddf)) → new_ltEs11(xuu71, xuu72, ddf)
new_esEs11(xuu311002, xuu602, ty_Int) → new_esEs14(xuu311002, xuu602)
new_esEs10(xuu311001, xuu601, app(ty_Maybe, dbb)) → new_esEs22(xuu311001, xuu601, dbb)
new_esEs10(xuu311001, xuu601, app(app(app(ty_@3, dad), dae), daf)) → new_esEs15(xuu311001, xuu601, dad, dae, daf)
new_ltEs23(xuu64, xuu65, ty_@0) → new_ltEs18(xuu64, xuu65)
new_compare6(GT, GT) → EQ
new_esEs7(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, app(app(ty_@2, db), dc)) → new_lt8(xuu31100, xuu60, db, dc)
new_ltEs24(xuu641, xuu651, app(app(app(ty_@3, gah), gba), gbb)) → new_ltEs5(xuu641, xuu651, gah, gba, gbb)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, dff), dfg), dfh), bge) → new_esEs15(xuu3110000, xuu6000, dff, dfg, dfh)
new_primCmpNat0(Succ(xuu3110000), Succ(xuu6000)) → new_primCmpNat0(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(ty_Ratio, cha)) → new_ltEs15(xuu640, xuu650, cha)
new_esEs9(xuu311000, xuu600, app(app(ty_Either, che), chf)) → new_esEs16(xuu311000, xuu600, che, chf)
new_compare30(xuu311000, xuu600, app(app(ty_Either, def), deg)) → new_compare12(xuu311000, xuu600, def, deg)
new_esEs36(xuu3110001, xuu6001, app(app(ty_@2, ehf), ehg)) → new_esEs24(xuu3110001, xuu6001, ehf, ehg)
new_ltEs22(xuu96, xuu99, ty_Integer) → new_ltEs17(xuu96, xuu99)
new_ltEs13(GT, LT) → False
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Bool) → new_ltEs16(xuu640, xuu650)
new_lt8(xuu31100, xuu60, db, dc) → new_esEs12(new_compare16(xuu31100, xuu60, db, dc))
new_ltEs13(EQ, EQ) → True
new_esEs7(xuu311000, xuu600, app(app(app(ty_@3, fcf), fcg), fch)) → new_esEs15(xuu311000, xuu600, fcf, fcg, fch)
new_compare8(Nothing, Nothing, bf) → EQ
new_esEs27(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_esEs17(LT, GT) → False
new_esEs17(GT, LT) → False
new_esEs40(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs21([], :(xuu6000, xuu6001), bbh) → False
new_esEs21(:(xuu3110000, xuu3110001), [], bbh) → False
new_esEs8(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_esEs29(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs17(EQ, GT) → False
new_esEs17(GT, EQ) → False
new_ltEs12(Just(xuu640), Just(xuu650), ty_Float) → new_ltEs4(xuu640, xuu650)
new_compare30(xuu311000, xuu600, ty_@0) → new_compare17(xuu311000, xuu600)
new_compare113(xuu147, xuu148, False, ceb, cec) → GT
new_ltEs19(xuu110, xuu112, ty_Double) → new_ltEs14(xuu110, xuu112)
new_primCompAux00(xuu77, LT) → LT
new_esEs30(xuu109, xuu111, ty_Int) → new_esEs14(xuu109, xuu111)
new_lt22(xuu95, xuu98, ty_Integer) → new_lt18(xuu95, xuu98)
new_esEs27(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare29(Double(xuu311000, xuu311001), Double(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_compare1(:(xuu311000, xuu311001), :(xuu600, xuu601), df) → new_primCompAux0(xuu311000, xuu600, new_compare1(xuu311001, xuu601, df), df)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primPlusNat0(Zero, Succ(xuu12900)) → Succ(xuu12900)
new_primPlusNat0(Succ(xuu42200), Zero) → Succ(xuu42200)
new_lt6(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_primCmpNat0(Zero, Zero) → EQ
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, True, eab, eac, ead) → EQ
new_ltEs21(xuu71, xuu72, ty_Double) → new_ltEs14(xuu71, xuu72)
new_ltEs6(xuu642, xuu652, ty_Char) → new_ltEs10(xuu642, xuu652)
new_primCmpNat0(Succ(xuu3110000), Zero) → GT
new_esEs29(xuu3110000, xuu6000, app(app(ty_@2, bch), bda)) → new_esEs24(xuu3110000, xuu6000, bch, bda)
new_compare14(False, False) → EQ
new_lt22(xuu95, xuu98, ty_@0) → new_lt19(xuu95, xuu98)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu6000))) → LT
new_ltEs22(xuu96, xuu99, ty_Char) → new_ltEs10(xuu96, xuu99)
new_sr0(Integer(xuu3110000), Integer(xuu6010)) → Integer(new_primMulInt(xuu3110000, xuu6010))
new_esEs31(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_compare28(xuu71, xuu72, True, dch, dda) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_lt23(xuu640, xuu650, app(app(ty_@2, fgh), fha)) → new_lt8(xuu640, xuu650, fgh, fha)
new_ltEs23(xuu64, xuu65, ty_Integer) → new_ltEs17(xuu64, xuu65)
new_esEs33(xuu94, xuu97, ty_Float) → new_esEs20(xuu94, xuu97)
new_esEs40(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_esEs26(True, False) → False
new_esEs26(False, True) → False
new_esEs27(xuu640, xuu650, app(app(ty_Either, eh), fa)) → new_esEs16(xuu640, xuu650, eh, fa)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_[], cfa), cef) → new_ltEs11(xuu640, xuu650, cfa)
new_esEs29(xuu3110000, xuu6000, app(app(ty_Either, bcd), bce)) → new_esEs16(xuu3110000, xuu6000, bcd, bce)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_Either, cbg), cbh)) → new_ltEs8(xuu640, xuu650, cbg, cbh)
new_lt11(xuu31100, xuu60) → new_esEs12(new_compare26(xuu31100, xuu60))
new_esEs33(xuu94, xuu97, ty_Char) → new_esEs13(xuu94, xuu97)
new_esEs39(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(ty_Maybe, cge)) → new_ltEs12(xuu640, xuu650, cge)
new_esEs7(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, app(ty_[], dcc)) → new_esEs21(xuu311002, xuu602, dcc)
new_esEs36(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs5(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Bool, bge) → new_esEs26(xuu3110000, xuu6000)
new_esEs41(EQ) → False
new_esEs23(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs34(xuu95, xuu98, app(app(app(ty_@3, ece), ecf), ecg)) → new_esEs15(xuu95, xuu98, ece, ecf, ecg)
new_esEs30(xuu109, xuu111, ty_Ordering) → new_esEs17(xuu109, xuu111)
new_gt(xuu22, xuu17, ty_Float) → new_esEs41(new_compare7(xuu22, xuu17))
new_esEs8(xuu311000, xuu600, app(ty_[], cd)) → new_esEs21(xuu311000, xuu600, cd)
new_esEs37(xuu3110002, xuu6002, app(ty_[], faf)) → new_esEs21(xuu3110002, xuu6002, faf)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(app(ty_Either, cgb), cgc)) → new_ltEs8(xuu640, xuu650, cgb, cgc)
new_esEs5(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_gt(xuu22, xuu17, ty_Bool) → new_esEs41(new_compare14(xuu22, xuu17))
new_esEs9(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_primCmpInt(Pos(Succ(xuu3110000)), Pos(xuu600)) → new_primCmpNat0(Succ(xuu3110000), xuu600)
new_compare210(xuu64, xuu65, True, fdh, fea) → EQ
new_lt21(xuu94, xuu97, app(ty_[], eba)) → new_lt12(xuu94, xuu97, eba)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(ty_Ratio, eaa)) → new_esEs25(xuu3110000, xuu6000, eaa)
new_ltEs23(xuu64, xuu65, app(app(ty_Either, cfg), cef)) → new_ltEs8(xuu64, xuu65, cfg, cef)
new_esEs38(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs24(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bgg, bgh) → new_asAs(new_esEs38(xuu3110000, xuu6000, bgg), new_esEs39(xuu3110001, xuu6001, bgh))
new_esEs34(xuu95, xuu98, app(ty_Ratio, ech)) → new_esEs25(xuu95, xuu98, ech)
new_compare6(GT, LT) → GT
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, cag, cah, cba) → GT
new_lt22(xuu95, xuu98, ty_Double) → new_lt14(xuu95, xuu98)
new_lt24(xuu31100, xuu60, ty_Char) → new_lt11(xuu31100, xuu60)
new_ltEs19(xuu110, xuu112, ty_@0) → new_ltEs18(xuu110, xuu112)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, app(app(ty_Either, dhc), dhd)) → new_esEs16(xuu3110000, xuu6000, dhc, dhd)
new_gt(xuu22, xuu17, ty_Int) → new_gt0(xuu22, xuu17)
new_lt24(xuu31100, xuu60, ty_@0) → new_lt19(xuu31100, xuu60)
new_lt23(xuu640, xuu650, app(ty_[], fhd)) → new_lt12(xuu640, xuu650, fhd)
new_primCmpInt(Pos(Succ(xuu3110000)), Neg(xuu600)) → GT
new_ltEs24(xuu641, xuu651, ty_Ordering) → new_ltEs13(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Char) → new_esEs13(xuu311002, xuu602)
new_primMulInt(Pos(xuu3110000), Pos(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_esEs35(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_ltEs21(xuu71, xuu72, ty_Ordering) → new_ltEs13(xuu71, xuu72)
new_ltEs23(xuu64, xuu65, app(app(ty_@2, feb), fec)) → new_ltEs7(xuu64, xuu65, feb, fec)
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs22(xuu96, xuu99, ty_Ordering) → new_ltEs13(xuu96, xuu99)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_lt23(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, app(app(ty_@2, ddb), ddc)) → new_ltEs7(xuu71, xuu72, ddb, ddc)
new_lt6(xuu640, xuu650, app(app(ty_Either, eh), fa)) → new_lt9(xuu640, xuu650, eh, fa)
new_lt12(xuu31100, xuu60, df) → new_esEs12(new_compare1(xuu31100, xuu60, df))
new_ltEs8(Right(xuu640), Right(xuu650), cfg, ty_Double) → new_ltEs14(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, app(app(app(ty_@3, ddh), dea), deb)) → new_ltEs5(xuu71, xuu72, ddh, dea, deb)
new_ltEs20(xuu83, xuu84, ty_Float) → new_ltEs4(xuu83, xuu84)
new_esEs7(xuu311000, xuu600, app(ty_Ratio, fdg)) → new_esEs25(xuu311000, xuu600, fdg)
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, cag, cah, cba) → LT
new_esEs16(Right(xuu3110000), Left(xuu6000), bgd, bge) → False
new_esEs16(Left(xuu3110000), Right(xuu6000), bgd, bge) → False
new_primCmpInt(Neg(Zero), Neg(Succ(xuu6000))) → new_primCmpNat0(Succ(xuu6000), Zero)
new_lt21(xuu94, xuu97, app(ty_Maybe, ebb)) → new_lt13(xuu94, xuu97, ebb)
new_esEs9(xuu311000, xuu600, app(app(app(ty_@3, chb), chc), chd)) → new_esEs15(xuu311000, xuu600, chb, chc, chd)
new_lt21(xuu94, xuu97, ty_Ordering) → new_lt4(xuu94, xuu97)
new_ltEs18(xuu64, xuu65) → new_fsEs(new_compare17(xuu64, xuu65))
new_ltEs21(xuu71, xuu72, app(ty_Maybe, ddg)) → new_ltEs12(xuu71, xuu72, ddg)
new_esEs27(xuu640, xuu650, app(ty_Ratio, fh)) → new_esEs25(xuu640, xuu650, fh)
new_esEs9(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(ty_Maybe, ehe)) → new_esEs22(xuu3110001, xuu6001, ehe)
new_lt13(xuu31100, xuu60, bf) → new_esEs12(new_compare8(xuu31100, xuu60, bf))
new_esEs27(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_compare7(Float(xuu311000, xuu311001), Float(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_esEs28(xuu641, xuu651, app(ty_Maybe, gf)) → new_esEs22(xuu641, xuu651, gf)
new_esEs9(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs35(xuu3110000, xuu6000, app(ty_[], egb)) → new_esEs21(xuu3110000, xuu6000, egb)
new_ltEs19(xuu110, xuu112, app(app(ty_@2, beg), beh)) → new_ltEs7(xuu110, xuu112, beg, beh)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, dgg), bge) → new_esEs25(xuu3110000, xuu6000, dgg)
new_esEs39(xuu3110001, xuu6001, app(app(ty_Either, fga), fgb)) → new_esEs16(xuu3110001, xuu6001, fga, fgb)
new_ltEs6(xuu642, xuu652, ty_Float) → new_ltEs4(xuu642, xuu652)
new_esEs16(Right(xuu3110000), Right(xuu6000), bgd, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, app(ty_[], cdd)) → new_ltEs11(xuu83, xuu84, cdd)
new_primMulNat0(Zero, Succ(xuu60000)) → Zero
new_primMulNat0(Succ(xuu31100000), Zero) → Zero
new_esEs4(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(app(ty_@3, ccc), ccd), cce)) → new_ltEs5(xuu640, xuu650, ccc, ccd, cce)
new_gt(xuu22, xuu17, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs41(new_compare13(xuu22, xuu17, bbd, bbe, bbf))
new_ltEs5(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), ec, ed, ee) → new_pePe(new_lt6(xuu640, xuu650, ec), new_asAs(new_esEs27(xuu640, xuu650, ec), new_pePe(new_lt7(xuu641, xuu651, ed), new_asAs(new_esEs28(xuu641, xuu651, ed), new_ltEs6(xuu642, xuu652, ee)))))
new_ltEs22(xuu96, xuu99, ty_@0) → new_ltEs18(xuu96, xuu99)
new_esEs30(xuu109, xuu111, app(ty_[], bea)) → new_esEs21(xuu109, xuu111, bea)
new_ltEs8(Right(xuu640), Left(xuu650), cfg, cef) → False
new_lt22(xuu95, xuu98, ty_Bool) → new_lt17(xuu95, xuu98)
new_lt24(xuu31100, xuu60, app(ty_Ratio, eb)) → new_lt16(xuu31100, xuu60, eb)
new_esEs40(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Double, bge) → new_esEs23(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), cfg, app(app(app(ty_@3, cgf), cgg), cgh)) → new_ltEs5(xuu640, xuu650, cgf, cgg, cgh)
new_lt6(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_compare18(xuu154, xuu155, True, cad) → LT
new_esEs6(xuu311000, xuu600, app(app(app(ty_@3, fbd), fbe), fbf)) → new_esEs15(xuu311000, xuu600, fbd, fbe, fbf)
new_esEs10(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_esEs36(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Double) → new_esEs23(xuu94, xuu97)
new_esEs4(xuu311000, xuu600, app(ty_Maybe, bgf)) → new_esEs22(xuu311000, xuu600, bgf)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_esEs39(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_esEs39(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs14(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_esEs41(LT) → False
new_ltEs19(xuu110, xuu112, app(app(app(ty_@3, bfe), bff), bfg)) → new_ltEs5(xuu110, xuu112, bfe, bff, bfg)
new_esEs29(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, app(ty_[], fb)) → new_lt12(xuu640, xuu650, fb)
new_compare12(Right(xuu311000), Left(xuu600), dd, de) → GT
new_compare10(xuu31100, xuu60) → new_primCmpInt(xuu31100, xuu60)
new_gt(xuu22, xuu17, app(ty_Maybe, bbc)) → new_esEs41(new_compare8(xuu22, xuu17, bbc))
new_esEs27(xuu640, xuu650, app(ty_Maybe, fc)) → new_esEs22(xuu640, xuu650, fc)
new_esEs37(xuu3110002, xuu6002, ty_Ordering) → new_esEs17(xuu3110002, xuu6002)
new_esEs33(xuu94, xuu97, app(ty_Maybe, ebb)) → new_esEs22(xuu94, xuu97, ebb)
new_compare6(EQ, GT) → LT
new_esEs27(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs9(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs9(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs13(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs29(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_ltEs23(xuu64, xuu65, app(ty_[], fbc)) → new_ltEs11(xuu64, xuu65, fbc)
new_lt21(xuu94, xuu97, app(app(app(ty_@3, ebc), ebd), ebe)) → new_lt15(xuu94, xuu97, ebc, ebd, ebe)
new_lt23(xuu640, xuu650, app(app(app(ty_@3, fhf), fhg), fhh)) → new_lt15(xuu640, xuu650, fhf, fhg, fhh)
new_esEs10(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_primMulNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primPlusNat0(new_primMulNat0(xuu31100000, Succ(xuu60000)), Succ(xuu60000))
new_esEs22(Nothing, Nothing, bgf) → True
new_esEs34(xuu95, xuu98, ty_Char) → new_esEs13(xuu95, xuu98)
new_primPlusNat0(Succ(xuu42200), Succ(xuu12900)) → Succ(Succ(new_primPlusNat0(xuu42200, xuu12900)))
new_lt7(xuu641, xuu651, ty_Char) → new_lt11(xuu641, xuu651)
new_compare30(xuu311000, xuu600, app(app(app(ty_@3, dfb), dfc), dfd)) → new_compare13(xuu311000, xuu600, dfb, dfc, dfd)
new_ltEs20(xuu83, xuu84, app(app(ty_Either, cdb), cdc)) → new_ltEs8(xuu83, xuu84, cdb, cdc)
new_esEs17(GT, GT) → True
new_esEs6(xuu311000, xuu600, app(ty_[], fca)) → new_esEs21(xuu311000, xuu600, fca)
new_esEs40(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs33(xuu94, xuu97, app(app(app(ty_@3, ebc), ebd), ebe)) → new_esEs15(xuu94, xuu97, ebc, ebd, ebe)
new_esEs5(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs27(xuu640, xuu650, app(app(app(ty_@3, fd), ff), fg)) → new_esEs15(xuu640, xuu650, fd, ff, fg)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, eef), eeg)) → new_esEs16(xuu3110000, xuu6000, eef, eeg)
new_lt21(xuu94, xuu97, ty_Integer) → new_lt18(xuu94, xuu97)
new_esEs30(xuu109, xuu111, app(app(app(ty_@3, bec), bed), bee)) → new_esEs15(xuu109, xuu111, bec, bed, bee)
new_esEs20(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs5(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_compare6(GT, EQ) → GT
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_[], eeh)) → new_esEs21(xuu3110000, xuu6000, eeh)
new_primCompAux00(xuu77, GT) → GT
new_compare30(xuu311000, xuu600, ty_Double) → new_compare29(xuu311000, xuu600)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs10(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_ltEs23(xuu64, xuu65, app(app(app(ty_@3, ec), ed), ee)) → new_ltEs5(xuu64, xuu65, ec, ed, ee)
new_esEs36(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_esEs4(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_lt6(xuu640, xuu650, app(ty_Maybe, fc)) → new_lt13(xuu640, xuu650, fc)
new_lt15(xuu31100, xuu60, dg, dh, ea) → new_esEs12(new_compare13(xuu31100, xuu60, dg, dh, ea))
new_ltEs6(xuu642, xuu652, app(ty_Maybe, hh)) → new_ltEs12(xuu642, xuu652, hh)
new_esEs34(xuu95, xuu98, app(app(ty_@2, ebg), ebh)) → new_esEs24(xuu95, xuu98, ebg, ebh)
new_compare30(xuu311000, xuu600, ty_Ordering) → new_compare6(xuu311000, xuu600)
new_primCmpInt(Neg(Succ(xuu3110000)), Pos(xuu600)) → LT
new_lt7(xuu641, xuu651, ty_Float) → new_lt5(xuu641, xuu651)
new_compare13(@3(xuu311000, xuu311001, xuu311002), @3(xuu600, xuu601, xuu602), dg, dh, ea) → new_compare27(xuu311000, xuu311001, xuu311002, xuu600, xuu601, xuu602, new_asAs(new_esEs9(xuu311000, xuu600, dg), new_asAs(new_esEs10(xuu311001, xuu601, dh), new_esEs11(xuu311002, xuu602, ea))), dg, dh, ea)
new_esEs9(xuu311000, xuu600, app(ty_Maybe, chh)) → new_esEs22(xuu311000, xuu600, chh)

The set Q consists of the following terms:

new_lt7(x0, x1, ty_Bool)
new_esEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs24(x0, x1, ty_Ordering)
new_esEs17(GT, LT)
new_esEs17(LT, GT)
new_compare30(x0, x1, app(app(ty_Either, x2), x3))
new_compare15(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, ty_Int)
new_ltEs16(True, True)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs6(x0, x1, ty_Float)
new_esEs6(x0, x1, ty_Integer)
new_primEqNat0(Zero, Succ(x0))
new_ltEs8(Right(x0), Right(x1), x2, ty_@0)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_esEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_esEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs35(x0, x1, ty_Double)
new_esEs5(x0, x1, ty_@0)
new_ltEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_lt7(x0, x1, ty_Double)
new_lt24(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Integer)
new_ltEs12(Nothing, Just(x0), x1)
new_ltEs20(x0, x1, ty_Integer)
new_gt(x0, x1, app(app(ty_@2, x2), x3))
new_compare26(Char(x0), Char(x1))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs24(x0, x1, ty_@0)
new_esEs40(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(Just(x0), Just(x1), ty_@0)
new_esEs36(x0, x1, ty_@0)
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Ordering)
new_esEs22(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Ordering)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs21(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Integer)
new_compare6(EQ, LT)
new_compare6(LT, EQ)
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_@0)
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_gt(x0, x1, ty_@0)
new_compare17(@0, @0)
new_compare30(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Float)
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs8(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt21(x0, x1, ty_@0)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Int)
new_compare30(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Float)
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_gt(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(ty_[], x2))
new_esEs4(x0, x1, ty_Ordering)
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_lt20(x0, x1, ty_@0)
new_lt7(x0, x1, ty_Int)
new_esEs27(x0, x1, ty_Ordering)
new_ltEs4(x0, x1)
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_lt24(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Bool)
new_esEs38(x0, x1, ty_Int)
new_esEs16(Left(x0), Right(x1), x2, x3)
new_esEs16(Right(x0), Left(x1), x2, x3)
new_compare24(x0, x1, True, x2)
new_primEqNat0(Zero, Zero)
new_esEs22(Just(x0), Just(x1), ty_Char)
new_ltEs8(Right(x0), Right(x1), x2, ty_Char)
new_esEs35(x0, x1, ty_Bool)
new_esEs22(Just(x0), Nothing, x1)
new_compare111(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(EQ, EQ)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_esEs7(x0, x1, ty_Float)
new_lt22(x0, x1, ty_Float)
new_ltEs15(x0, x1, x2)
new_esEs35(x0, x1, ty_Integer)
new_esEs22(Nothing, Just(x0), x1)
new_primMulNat0(Zero, Zero)
new_esEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs12(LT)
new_ltEs17(x0, x1)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs36(x0, x1, ty_Double)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_primCmpNat0(Succ(x0), Zero)
new_esEs26(False, True)
new_esEs26(True, False)
new_esEs29(x0, x1, ty_Integer)
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, ty_Ordering)
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_@0)
new_ltEs12(Just(x0), Nothing, x1)
new_ltEs13(EQ, LT)
new_ltEs13(LT, EQ)
new_esEs27(x0, x1, ty_Integer)
new_esEs38(x0, x1, ty_Float)
new_esEs11(x0, x1, ty_Int)
new_ltEs12(Just(x0), Just(x1), ty_Int)
new_compare14(False, True)
new_compare14(True, False)
new_esEs33(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Double)
new_esEs14(x0, x1)
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_gt(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs34(x0, x1, app(ty_[], x2))
new_esEs38(x0, x1, ty_Ordering)
new_lt21(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Integer)
new_ltEs22(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_Int)
new_esEs40(x0, x1, ty_Bool)
new_esEs40(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Float)
new_lt21(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_[], x2))
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs8(Left(x0), Left(x1), ty_Char, x2)
new_esEs37(x0, x1, ty_Char)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt7(x0, x1, app(ty_Maybe, x2))
new_ltEs8(Right(x0), Right(x1), x2, ty_Ordering)
new_lt18(x0, x1)
new_compare12(Left(x0), Right(x1), x2, x3)
new_primMulNat0(Succ(x0), Zero)
new_compare12(Right(x0), Left(x1), x2, x3)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Int)
new_esEs6(x0, x1, ty_@0)
new_esEs4(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Float)
new_esEs21(:(x0, x1), [], x2)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_compare30(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Ordering)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs40(x0, x1, ty_Float)
new_esEs39(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_ltEs22(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Bool)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs22(Just(x0), Just(x1), ty_Integer)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs8(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Double)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_esEs35(x0, x1, ty_Float)
new_esEs10(x0, x1, ty_Ordering)
new_sr(x0, x1)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_esEs13(Char(x0), Char(x1))
new_ltEs23(x0, x1, ty_Int)
new_compare30(x0, x1, ty_Ordering)
new_asAs(False, x0)
new_ltEs6(x0, x1, ty_Bool)
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Float)
new_ltEs8(Left(x0), Left(x1), ty_Double, x2)
new_esEs22(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs13(GT, EQ)
new_ltEs13(EQ, GT)
new_esEs22(Just(x0), Just(x1), ty_Float)
new_compare113(x0, x1, False, x2, x3)
new_ltEs23(x0, x1, ty_Double)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_esEs35(x0, x1, ty_Int)
new_lt23(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Bool)
new_esEs10(x0, x1, ty_Int)
new_esEs6(x0, x1, ty_Int)
new_esEs11(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Bool)
new_esEs22(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare30(x0, x1, app(app(ty_@2, x2), x3))
new_pePe(True, x0)
new_esEs30(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Ordering)
new_esEs27(x0, x1, ty_Float)
new_ltEs12(Just(x0), Just(x1), ty_@0)
new_ltEs24(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, x2)
new_compare15(x0, x1, x2, x3, True, x4, x5, x6)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs23(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_@0)
new_esEs22(Just(x0), Just(x1), ty_Int)
new_lt24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Succ(x0))
new_lt8(x0, x1, x2, x3)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_primPlusNat0(Succ(x0), Succ(x1))
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(ty_[], x2))
new_compare18(x0, x1, True, x2)
new_lt6(x0, x1, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare27(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_ltEs22(x0, x1, ty_Char)
new_esEs18(Integer(x0), Integer(x1))
new_esEs39(x0, x1, ty_Int)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Float)
new_ltEs16(False, True)
new_ltEs16(True, False)
new_ltEs12(Just(x0), Just(x1), ty_Bool)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs24(x0, x1, ty_Double)
new_ltEs9(x0, x1)
new_esEs36(x0, x1, ty_Char)
new_esEs40(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, ty_Float)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_primEqNat0(Succ(x0), Zero)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs24(x0, x1, ty_Integer)
new_esEs10(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Int)
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Float)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Char)
new_esEs40(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_esEs38(x0, x1, ty_Bool)
new_lt24(x0, x1, app(ty_Ratio, x2))
new_compare28(x0, x1, True, x2, x3)
new_esEs35(x0, x1, ty_@0)
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Double)
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs34(x0, x1, ty_Bool)
new_ltEs13(GT, GT)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_esEs39(x0, x1, ty_Bool)
new_lt7(x0, x1, app(ty_Ratio, x2))
new_compare110(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_esEs34(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(x0, x1, ty_Int)
new_esEs37(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Char)
new_esEs4(x0, x1, ty_Bool)
new_ltEs11(x0, x1, x2)
new_lt6(x0, x1, ty_Float)
new_not(True)
new_lt16(x0, x1, x2)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs12(Just(x0), Just(x1), ty_Integer)
new_lt23(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Integer)
new_compare1(:(x0, x1), [], x2)
new_lt7(x0, x1, ty_Ordering)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_not(False)
new_lt4(x0, x1)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, ty_Float)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_lt24(x0, x1, ty_Char)
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_esEs12(EQ)
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_compare12(Left(x0), Left(x1), x2, x3)
new_esEs4(x0, x1, app(ty_[], x2))
new_esEs16(Left(x0), Left(x1), ty_Double, x2)
new_asAs(True, x0)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs33(x0, x1, ty_Integer)
new_ltEs12(Just(x0), Just(x1), ty_Char)
new_lt24(x0, x1, app(ty_[], x2))
new_compare1([], :(x0, x1), x2)
new_compare14(False, False)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_ltEs23(x0, x1, app(ty_[], x2))
new_ltEs23(x0, x1, ty_Ordering)
new_esEs16(Left(x0), Left(x1), ty_Float, x2)
new_lt21(x0, x1, ty_Double)
new_lt20(x0, x1, ty_Int)
new_compare30(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_@0)
new_ltEs8(Right(x0), Right(x1), x2, ty_Bool)
new_esEs21([], :(x0, x1), x2)
new_lt24(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, ty_Ordering)
new_ltEs8(Right(x0), Right(x1), x2, ty_Int)
new_esEs27(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Ordering)
new_compare25(x0, x1, x2, x3, True, x4, x5)
new_gt(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, app(ty_[], x2))
new_esEs11(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_esEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs12(GT)
new_lt7(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_lt20(x0, x1, ty_Double)
new_esEs26(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs8(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare6(GT, EQ)
new_compare6(EQ, GT)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs22(x0, x1, ty_Bool)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs20(Float(x0, x1), Float(x2, x3))
new_primCompAux0(x0, x1, x2, x3)
new_esEs8(x0, x1, ty_Bool)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs19(@0, @0)
new_esEs17(LT, EQ)
new_esEs17(EQ, LT)
new_esEs34(x0, x1, ty_Char)
new_lt21(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_Ordering)
new_compare30(x0, x1, ty_Int)
new_esEs40(x0, x1, app(ty_Ratio, x2))
new_ltEs18(x0, x1)
new_esEs29(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare18(x0, x1, False, x2)
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_lt7(x0, x1, app(ty_[], x2))
new_esEs5(x0, x1, ty_Char)
new_esEs37(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_Char)
new_compare111(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs17(LT, LT)
new_lt24(x0, x1, ty_Double)
new_primCompAux00(x0, LT)
new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs8(Right(x0), Right(x1), x2, ty_Float)
new_esEs36(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_compare10(x0, x1)
new_esEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Int)
new_lt24(x0, x1, app(ty_Maybe, x2))
new_compare19(x0, x1, x2, x3, False, x4, x5)
new_esEs9(x0, x1, ty_Float)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Ordering)
new_esEs25(:%(x0, x1), :%(x2, x3), x4)
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(Nothing, Nothing, x0)
new_lt7(x0, x1, ty_@0)
new_esEs8(x0, x1, ty_Char)
new_compare14(True, True)
new_esEs28(x0, x1, ty_Integer)
new_compare8(Just(x0), Just(x1), x2)
new_lt22(x0, x1, app(ty_Maybe, x2))
new_esEs17(GT, EQ)
new_esEs17(EQ, GT)
new_esEs7(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(x0, x1, ty_Float)
new_gt(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Bool)
new_lt24(x0, x1, ty_Float)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_lt24(x0, x1, ty_Integer)
new_compare16(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Double)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_esEs6(x0, x1, ty_Double)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare30(x0, x1, ty_Integer)
new_esEs38(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_compare29(Double(x0, x1), Double(x2, x3))
new_esEs22(Just(x0), Just(x1), ty_Ordering)
new_esEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare19(x0, x1, x2, x3, True, x4, x5)
new_primPlusNat0(Zero, Succ(x0))
new_lt20(x0, x1, ty_Bool)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, ty_Double)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_ltEs22(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Char)
new_esEs6(x0, x1, app(ty_[], x2))
new_esEs11(x0, x1, ty_Ordering)
new_esEs17(GT, GT)
new_ltEs8(Left(x0), Left(x1), ty_Float, x2)
new_esEs5(x0, x1, ty_Ordering)
new_esEs22(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, ty_Bool)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs37(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Bool)
new_lt15(x0, x1, x2, x3, x4)
new_ltEs6(x0, x1, ty_@0)
new_esEs16(Right(x0), Right(x1), x2, ty_Double)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Double)
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_esEs24(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_pePe(False, x0)
new_esEs39(x0, x1, ty_Char)
new_ltEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs16(Left(x0), Left(x1), ty_@0, x2)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs12(Just(x0), Just(x1), app(ty_[], x2))
new_lt21(x0, x1, ty_Float)
new_esEs16(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs24(x0, x1, ty_Int)
new_lt7(x0, x1, ty_Char)
new_compare8(Nothing, Nothing, x0)
new_primPlusNat0(Succ(x0), Zero)
new_esEs38(x0, x1, ty_Char)
new_lt21(x0, x1, ty_Bool)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Float)
new_esEs21(:(x0, x1), :(x2, x3), x4)
new_ltEs23(x0, x1, ty_Char)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Left(x0), Left(x1), ty_Int, x2)
new_lt22(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_gt0(x0, x1)
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_esEs38(x0, x1, ty_Integer)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_esEs37(x0, x1, ty_Ordering)
new_compare28(x0, x1, False, x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_lt23(x0, x1, ty_Integer)
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_gt(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, app(ty_[], x2))
new_esEs7(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_compare27(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs36(x0, x1, ty_Integer)
new_gt(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Double)
new_esEs16(Left(x0), Left(x1), ty_Char, x2)
new_primMulNat0(Zero, Succ(x0))
new_lt7(x0, x1, ty_Integer)
new_compare6(EQ, EQ)
new_esEs22(Just(x0), Just(x1), ty_Double)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_esEs41(GT)
new_compare1([], [], x0)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs32(x0, x1, ty_Int)
new_esEs8(x0, x1, ty_Integer)
new_compare6(LT, GT)
new_compare6(GT, LT)
new_compare7(Float(x0, x1), Float(x2, x3))
new_esEs36(x0, x1, ty_Bool)
new_lt22(x0, x1, ty_Integer)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs19(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare6(LT, LT)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_compare112(x0, x1, True, x2, x3)
new_ltEs22(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Char)
new_esEs16(Right(x0), Right(x1), x2, ty_@0)
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs21([], [], x0)
new_esEs11(x0, x1, ty_@0)
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(Just(x0), Nothing, x1)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs36(x0, x1, ty_Int)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_lt11(x0, x1)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs38(x0, x1, ty_Double)
new_esEs40(x0, x1, ty_Char)
new_primCompAux00(x0, GT)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs6(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs41(EQ)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_esEs40(x0, x1, ty_Double)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Double)
new_compare24(x0, x1, False, x2)
new_lt24(x0, x1, ty_@0)
new_ltEs22(x0, x1, ty_Ordering)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Float)
new_compare11(Integer(x0), Integer(x1))
new_esEs8(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Float)
new_ltEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs36(x0, x1, ty_Float)
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs26(True, True)
new_esEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs40(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1)
new_ltEs8(Left(x0), Left(x1), ty_Bool, x2)
new_esEs27(x0, x1, ty_Bool)
new_esEs35(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs30(x0, x1, ty_Bool)
new_ltEs14(x0, x1)
new_esEs39(x0, x1, ty_@0)
new_ltEs13(LT, GT)
new_ltEs13(GT, LT)
new_lt22(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, ty_Bool)
new_gt(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt24(x0, x1, ty_Ordering)
new_ltEs8(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_compare30(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_@0)
new_ltEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, app(ty_[], x2))
new_ltEs8(Left(x0), Right(x1), x2, x3)
new_ltEs8(Right(x0), Left(x1), x2, x3)
new_esEs7(x0, x1, ty_Int)
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_lt23(x0, x1, ty_@0)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Bool)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt9(x0, x1, x2, x3)
new_esEs9(x0, x1, ty_Char)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs8(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare110(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs22(Just(x0), Just(x1), ty_Bool)
new_lt22(x0, x1, ty_Double)
new_compare25(x0, x1, x2, x3, False, x4, x5)
new_ltEs12(Just(x0), Just(x1), ty_Double)
new_lt21(x0, x1, ty_Int)
new_compare210(x0, x1, False, x2, x3)
new_esEs27(x0, x1, ty_Double)
new_esEs8(x0, x1, ty_Ordering)
new_ltEs8(Left(x0), Left(x1), ty_@0, x2)
new_lt21(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Bool)
new_ltEs8(Right(x0), Right(x1), x2, ty_Integer)
new_lt19(x0, x1)
new_gt(x0, x1, app(ty_Ratio, x2))
new_compare13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs8(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Zero)
new_ltEs8(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs38(x0, x1, ty_@0)
new_ltEs6(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_@0)
new_ltEs13(LT, LT)
new_gt(x0, x1, ty_Ordering)
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, ty_Double)
new_esEs40(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_@0)
new_esEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs40(x0, x1, ty_Int)
new_esEs4(x0, x1, ty_Char)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Integer)
new_lt10(x0, x1)
new_ltEs19(x0, x1, ty_Char)
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_esEs34(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Float)
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, ty_@0)
new_esEs28(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Int)
new_gt(x0, x1, ty_Int)
new_esEs16(Left(x0), Left(x1), ty_Int, x2)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs7(x0, x1, ty_Char)
new_compare30(x0, x1, ty_@0)
new_ltEs22(x0, x1, ty_Float)
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs41(LT)
new_ltEs21(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_Float)
new_esEs34(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Char)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_@0)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_lt24(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_@0)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_gt(x0, x1, ty_Float)
new_ltEs12(Just(x0), Just(x1), ty_Ordering)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs39(x0, x1, ty_Integer)
new_sr0(Integer(x0), Integer(x1))
new_gt(x0, x1, ty_Double)
new_esEs34(x0, x1, ty_Integer)
new_compare12(Right(x0), Right(x1), x2, x3)
new_ltEs10(x0, x1)
new_ltEs24(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Double)
new_compare6(GT, GT)
new_esEs10(x0, x1, ty_Integer)
new_esEs30(x0, x1, ty_Int)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_primCompAux00(x0, EQ)
new_ltEs6(x0, x1, ty_Int)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_fsEs(x0)
new_lt17(x0, x1)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Left(x0), Left(x1), ty_Integer, x2)
new_lt22(x0, x1, ty_@0)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs6(x0, x1, ty_Ordering)
new_esEs40(x0, x1, ty_Integer)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs9(x0, x1, ty_@0)
new_esEs40(x0, x1, ty_Ordering)
new_esEs27(x0, x1, app(ty_[], x2))
new_ltEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_Integer)
new_lt12(x0, x1, x2)
new_compare30(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Succ(x0), Succ(x1))
new_ltEs8(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs37(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Float)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_esEs22(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare112(x0, x1, False, x2, x3)
new_compare8(Nothing, Just(x0), x1)
new_esEs17(EQ, EQ)
new_esEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt5(x0, x1)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Char)
new_lt22(x0, x1, app(ty_[], x2))
new_ltEs16(False, False)
new_ltEs12(Just(x0), Just(x1), ty_Float)
new_compare30(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_@0)
new_lt23(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs:



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR
        ↳ HASKELL
          ↳ IFR
            ↳ HASKELL
              ↳ BR
                ↳ HASKELL
                  ↳ COR
                    ↳ HASKELL
                      ↳ LetRed
                        ↳ HASKELL
                          ↳ NumRed
                            ↳ HASKELL
                              ↳ Narrow
                                ↳ AND
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
                                  ↳ QDP
QDP
                                    ↳ QDPSizeChangeProof

Q DP problem:
The TRS P consists of the following rules:

new_foldl(xuu6, :(xuu3110, xuu3111), h, ba) → new_foldl(new_addListToFM_CAdd(xuu6, xuu3110, h, ba), xuu3111, h, ba)

The TRS R consists of the following rules:

new_esEs9(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt7(xuu641, xuu651, ty_Int) → new_lt10(xuu641, xuu651)
new_esEs37(xuu3110002, xuu6002, ty_Bool) → new_esEs26(xuu3110002, xuu6002)
new_ltEs20(xuu83, xuu84, ty_Int) → new_ltEs9(xuu83, xuu84)
new_esEs7(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_lt20(xuu109, xuu111, ty_Int) → new_lt10(xuu109, xuu111)
new_ltEs24(xuu641, xuu651, app(app(ty_@2, cce), ccf)) → new_ltEs7(xuu641, xuu651, cce, ccf)
new_lt20(xuu109, xuu111, app(ty_Ratio, ddh)) → new_lt16(xuu109, xuu111, ddh)
new_lt20(xuu109, xuu111, ty_Char) → new_lt11(xuu109, xuu111)
new_esEs8(xuu311000, xuu600, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs15(xuu311000, xuu600, cdg, cdh, cea)
new_lt6(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_esEs6(xuu311000, xuu600, app(ty_Maybe, bdc)) → new_esEs22(xuu311000, xuu600, bdc)
new_esEs38(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_ltEs8(Left(xuu640), Left(xuu650), ty_@0, bff) → new_ltEs18(xuu640, xuu650)
new_compare8(Nothing, Just(xuu600), da) → LT
new_esEs10(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_esEs29(xuu3110000, xuu6000, app(ty_[], dbh)) → new_esEs21(xuu3110000, xuu6000, dbh)
new_compare6(EQ, EQ) → EQ
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_@0) → new_ltEs18(xuu640, xuu650)
new_ltEs20(xuu83, xuu84, app(ty_Ratio, ebf)) → new_ltEs15(xuu83, xuu84, ebf)
new_ltEs12(Nothing, Nothing, bfh) → True
new_esEs36(xuu3110001, xuu6001, app(app(ty_Either, fhe), fhf)) → new_esEs16(xuu3110001, xuu6001, fhe, fhf)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare19(xuu166, xuu167, xuu168, xuu169, False, df, dg) → GT
new_esEs4(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_ltEs21(xuu71, xuu72, ty_Float) → new_ltEs4(xuu71, xuu72)
new_esEs39(xuu3110001, xuu6001, app(ty_[], caf)) → new_esEs21(xuu3110001, xuu6001, caf)
new_ltEs6(xuu642, xuu652, app(app(app(ty_@3, dac), dad), dae)) → new_ltEs5(xuu642, xuu652, dac, dad, dae)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs8(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_lt20(xuu109, xuu111, ty_Integer) → new_lt18(xuu109, xuu111)
new_esEs7(xuu311000, xuu600, app(app(ty_Either, beb), bec)) → new_esEs16(xuu311000, xuu600, beb, bec)
new_ltEs16(False, True) → True
new_ltEs24(xuu641, xuu651, ty_Bool) → new_ltEs16(xuu641, xuu651)
new_lt20(xuu109, xuu111, app(app(ty_@2, dcg), dch)) → new_lt8(xuu109, xuu111, dcg, dch)
new_lt20(xuu109, xuu111, app(ty_Maybe, ddd)) → new_lt13(xuu109, xuu111, ddd)
new_compare30(xuu311000, xuu600, ty_Char) → new_compare26(xuu311000, xuu600)
new_ltEs16(True, False) → False
new_compare1([], :(xuu600, xuu601), dd) → LT
new_esEs10(xuu311001, xuu601, app(ty_Ratio, egh)) → new_esEs25(xuu311001, xuu601, egh)
new_ltEs19(xuu110, xuu112, ty_Bool) → new_ltEs16(xuu110, xuu112)
new_esEs40(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_esEs36(xuu3110001, xuu6001, app(app(app(ty_@3, fhb), fhc), fhd)) → new_esEs15(xuu3110001, xuu6001, fhb, fhc, fhd)
new_esEs7(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_ltEs13(LT, EQ) → True
new_esEs7(xuu311000, xuu600, app(ty_Maybe, bee)) → new_esEs22(xuu311000, xuu600, bee)
new_ltEs24(xuu641, xuu651, ty_Int) → new_ltEs9(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Double) → new_esEs23(xuu311002, xuu602)
new_ltEs22(xuu96, xuu99, app(app(app(ty_@3, ffd), ffe), fff)) → new_ltEs5(xuu96, xuu99, ffd, ffe, fff)
new_esEs30(xuu109, xuu111, app(app(ty_Either, dda), ddb)) → new_esEs16(xuu109, xuu111, dda, ddb)
new_esEs28(xuu641, xuu651, ty_Bool) → new_esEs26(xuu641, xuu651)
new_ltEs6(xuu642, xuu652, app(ty_Ratio, daf)) → new_ltEs15(xuu642, xuu652, daf)
new_esEs29(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs28(xuu641, xuu651, app(ty_Ratio, chd)) → new_esEs25(xuu641, xuu651, chd)
new_esEs9(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_Double) → new_esEs23(xuu95, xuu98)
new_gt(xuu22, xuu17, ty_Ordering) → new_esEs41(new_compare6(xuu22, xuu17))
new_esEs35(xuu3110000, xuu6000, app(app(ty_@2, fgg), fgh)) → new_esEs24(xuu3110000, xuu6000, fgg, fgh)
new_lt4(xuu31100, xuu60) → new_esEs12(new_compare6(xuu31100, xuu60))
new_lt22(xuu95, xuu98, ty_Float) → new_lt5(xuu95, xuu98)
new_compare26(Char(xuu311000), Char(xuu600)) → new_primCmpNat0(xuu311000, xuu600)
new_esEs40(xuu640, xuu650, app(app(app(ty_@3, cca), ccb), ccc)) → new_esEs15(xuu640, xuu650, cca, ccb, ccc)
new_pePe(False, xuu199) → xuu199
new_lt6(xuu640, xuu650, app(ty_Ratio, cgb)) → new_lt16(xuu640, xuu650, cgb)
new_lt7(xuu641, xuu651, app(app(ty_@2, cgc), cgd)) → new_lt8(xuu641, xuu651, cgc, cgd)
new_esEs39(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs5(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_lt22(xuu95, xuu98, app(app(app(ty_@3, feb), fec), fed)) → new_lt15(xuu95, xuu98, feb, fec, fed)
new_compare25(xuu109, xuu110, xuu111, xuu112, True, dce, dcf) → EQ
new_esEs28(xuu641, xuu651, ty_Integer) → new_esEs18(xuu641, xuu651)
new_esEs36(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_esEs36(xuu3110001, xuu6001, app(ty_Ratio, gac)) → new_esEs25(xuu3110001, xuu6001, gac)
new_mkBalBranch6Size_r(xuu17, xuu18, xuu21, xuu42, bb, bc) → new_sizeFM(xuu21, bb, bc)
new_lt21(xuu94, xuu97, app(app(ty_@2, fcb), fcc)) → new_lt8(xuu94, xuu97, fcb, fcc)
new_compare30(xuu311000, xuu600, app(ty_[], eg)) → new_compare1(xuu311000, xuu600, eg)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, gb), gc), ff) → new_esEs16(xuu3110000, xuu6000, gb, gc)
new_esEs6(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs39(xuu3110001, xuu6001, app(ty_Maybe, cag)) → new_esEs22(xuu3110001, xuu6001, cag)
new_esEs40(xuu640, xuu650, app(app(ty_@2, cbc), cbd)) → new_esEs24(xuu640, xuu650, cbc, cbd)
new_esEs6(xuu311000, xuu600, app(app(ty_Either, bch), bda)) → new_esEs16(xuu311000, xuu600, bch, bda)
new_ltEs6(xuu642, xuu652, app(app(ty_@2, che), chf)) → new_ltEs7(xuu642, xuu652, che, chf)
new_esEs33(xuu94, xuu97, ty_Integer) → new_esEs18(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Integer) → new_ltEs17(xuu640, xuu650)
new_esEs12(GT) → False
new_esEs34(xuu95, xuu98, ty_Integer) → new_esEs18(xuu95, xuu98)
new_lt14(xuu31100, xuu60) → new_esEs12(new_compare29(xuu31100, xuu60))
new_ltEs8(Left(xuu640), Left(xuu650), ty_Int, bff) → new_ltEs9(xuu640, xuu650)
new_esEs39(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_addToFM_C20(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, bb, bc) → new_mkBalBranch(xuu17, xuu18, new_addToFM_C0(xuu20, xuu22, xuu23, bb, bc), xuu21, bb, bc)
new_ltEs19(xuu110, xuu112, app(ty_Ratio, dfb)) → new_ltEs15(xuu110, xuu112, dfb)
new_ltEs20(xuu83, xuu84, app(app(ty_@2, eae), eaf)) → new_ltEs7(xuu83, xuu84, eae, eaf)
new_esEs38(xuu3110000, xuu6000, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs15(xuu3110000, xuu6000, bgg, bgh, bha)
new_esEs6(xuu311000, xuu600, app(app(ty_@2, bdd), bde)) → new_esEs24(xuu311000, xuu600, bdd, bde)
new_ltEs23(xuu64, xuu65, ty_Float) → new_ltEs4(xuu64, xuu65)
new_esEs17(LT, LT) → True
new_addToFM_C0(Branch(xuu60, xuu61, xuu62, xuu63, xuu64), xuu31100, xuu31101, h, ba) → new_addToFM_C20(xuu60, xuu61, xuu62, xuu63, xuu64, xuu31100, xuu31101, new_lt24(xuu31100, xuu60, h), h, ba)
new_esEs34(xuu95, xuu98, ty_Ordering) → new_esEs17(xuu95, xuu98)
new_esEs33(xuu94, xuu97, app(app(ty_Either, fcd), fce)) → new_esEs16(xuu94, xuu97, fcd, fce)
new_esEs37(xuu3110002, xuu6002, ty_@0) → new_esEs19(xuu3110002, xuu6002)
new_esEs36(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Int) → new_esEs14(xuu94, xuu97)
new_lt21(xuu94, xuu97, ty_@0) → new_lt19(xuu94, xuu97)
new_pePe(True, xuu199) → True
new_primEqNat0(Zero, Zero) → True
new_lt23(xuu640, xuu650, app(ty_Ratio, ccd)) → new_lt16(xuu640, xuu650, ccd)
new_compare17(@0, @0) → EQ
new_esEs29(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_esEs12(EQ) → False
new_esEs29(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, app(app(ty_Either, fag), fah)) → new_ltEs8(xuu71, xuu72, fag, fah)
new_compare6(EQ, LT) → GT
new_esEs29(xuu3110000, xuu6000, app(app(app(ty_@3, dbc), dbd), dbe)) → new_esEs15(xuu3110000, xuu6000, dbc, dbd, dbe)
new_esEs32(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_esEs38(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, app(app(ty_Either, cge), cgf)) → new_lt9(xuu641, xuu651, cge, cgf)
new_lt7(xuu641, xuu651, ty_Double) → new_lt14(xuu641, xuu651)
new_ltEs6(xuu642, xuu652, ty_Integer) → new_ltEs17(xuu642, xuu652)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_lt19(xuu31100, xuu60) → new_esEs12(new_compare17(xuu31100, xuu60))
new_ltEs21(xuu71, xuu72, ty_Bool) → new_ltEs16(xuu71, xuu72)
new_esEs10(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_esEs9(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, ty_Int) → new_lt10(xuu31100, xuu60)
new_esEs30(xuu109, xuu111, ty_Char) → new_esEs13(xuu109, xuu111)
new_esEs38(xuu3110000, xuu6000, app(app(ty_@2, bhf), bhg)) → new_esEs24(xuu3110000, xuu6000, bhf, bhg)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Int, ff) → new_esEs14(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, ty_Bool) → new_ltEs16(xuu83, xuu84)
new_esEs38(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs6(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, app(app(ty_Either, cf), cg)) → new_lt9(xuu31100, xuu60, cf, cg)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs9(xuu64, xuu65) → new_fsEs(new_compare10(xuu64, xuu65))
new_compare30(xuu311000, xuu600, app(ty_Maybe, eh)) → new_compare8(xuu311000, xuu600, eh)
new_compare14(True, True) → EQ
new_esEs8(xuu311000, xuu600, app(ty_Maybe, cee)) → new_esEs22(xuu311000, xuu600, cee)
new_lt24(xuu31100, xuu60, ty_Integer) → new_lt18(xuu31100, xuu60)
new_ltEs21(xuu71, xuu72, ty_Integer) → new_ltEs17(xuu71, xuu72)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, ge), ff) → new_esEs22(xuu3110000, xuu6000, ge)
new_lt16(xuu31100, xuu60, bag) → new_esEs12(new_compare9(xuu31100, xuu60, bag))
new_esEs5(xuu311001, xuu601, app(app(ty_@2, dge), dgf)) → new_esEs24(xuu311001, xuu601, dge, dgf)
new_mkBalBranch6MkBalBranch4(xuu17, xuu18, xuu21, xuu42, False, bb, bc) → new_mkBalBranch6MkBalBranch3(xuu17, xuu18, xuu21, xuu42, new_gt0(new_mkBalBranch6Size_l(xuu17, xuu18, xuu21, xuu42, bb, bc), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_r(xuu17, xuu18, xuu21, xuu42, bb, bc))), bb, bc)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Bool, bff) → new_ltEs16(xuu640, xuu650)
new_ltEs13(LT, GT) → True
new_esEs37(xuu3110002, xuu6002, ty_Char) → new_esEs13(xuu3110002, xuu6002)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Ordering, bff) → new_ltEs13(xuu640, xuu650)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Ratio, eac)) → new_ltEs15(xuu640, xuu650, eac)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_lt6(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_ltEs22(xuu96, xuu99, app(ty_[], ffb)) → new_ltEs11(xuu96, xuu99, ffb)
new_esEs4(xuu311000, xuu600, app(app(ty_Either, ha), ff)) → new_esEs16(xuu311000, xuu600, ha, ff)
new_compare30(xuu311000, xuu600, app(ty_Ratio, fd)) → new_compare9(xuu311000, xuu600, fd)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Char) → new_ltEs10(xuu640, xuu650)
new_lt21(xuu94, xuu97, app(ty_Ratio, fdc)) → new_lt16(xuu94, xuu97, fdc)
new_gt0(xuu22, xuu17) → new_esEs41(new_compare10(xuu22, xuu17))
new_ltEs21(xuu71, xuu72, ty_@0) → new_ltEs18(xuu71, xuu72)
new_esEs39(xuu3110001, xuu6001, ty_Integer) → new_esEs18(xuu3110001, xuu6001)
new_ltEs17(xuu64, xuu65) → new_fsEs(new_compare11(xuu64, xuu65))
new_esEs21([], [], dbb) → True
new_ltEs23(xuu64, xuu65, ty_Char) → new_ltEs10(xuu64, xuu65)
new_esEs40(xuu640, xuu650, app(app(ty_Either, cbe), cbf)) → new_esEs16(xuu640, xuu650, cbe, cbf)
new_compare19(xuu166, xuu167, xuu168, xuu169, True, df, dg) → LT
new_esEs19(@0, @0) → True
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_ltEs23(xuu64, xuu65, app(ty_Ratio, bgd)) → new_ltEs15(xuu64, xuu65, bgd)
new_esEs38(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_lt20(xuu109, xuu111, app(ty_[], ddc)) → new_lt12(xuu109, xuu111, ddc)
new_ltEs19(xuu110, xuu112, ty_Integer) → new_ltEs17(xuu110, xuu112)
new_esEs30(xuu109, xuu111, ty_Float) → new_esEs20(xuu109, xuu111)
new_esEs4(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Ordering) → new_esEs17(xuu311002, xuu602)
new_esEs35(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt24(xuu31100, xuu60, app(ty_[], dd)) → new_lt12(xuu31100, xuu60, dd)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Int) → new_ltEs9(xuu640, xuu650)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(app(ty_@2, edc), edd)) → new_ltEs7(xuu640, xuu650, edc, edd)
new_esEs30(xuu109, xuu111, ty_Integer) → new_esEs18(xuu109, xuu111)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Integer, bff) → new_ltEs17(xuu640, xuu650)
new_lt5(xuu31100, xuu60) → new_esEs12(new_compare7(xuu31100, xuu60))
new_fsEs(xuu194) → new_not(new_esEs17(xuu194, GT))
new_primCmpInt(Neg(Succ(xuu3110000)), Neg(xuu600)) → new_primCmpNat0(xuu600, Succ(xuu3110000))
new_lt21(xuu94, xuu97, app(app(ty_Either, fcd), fce)) → new_lt9(xuu94, xuu97, fcd, fce)
new_compare6(LT, LT) → EQ
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(app(app(ty_@3, hb), hc), hd)) → new_esEs15(xuu3110000, xuu6000, hb, hc, hd)
new_addListToFM_CAdd(xuu6, @2(xuu31100, xuu31101), h, ba) → new_addToFM_C0(xuu6, xuu31100, xuu31101, h, ba)
new_compare210(xuu64, xuu65, False, bfa, bfb) → new_compare112(xuu64, xuu65, new_ltEs23(xuu64, xuu65, bfa), bfa, bfb)
new_esEs27(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_ltEs20(xuu83, xuu84, app(ty_Maybe, ebb)) → new_ltEs12(xuu83, xuu84, ebb)
new_ltEs6(xuu642, xuu652, ty_@0) → new_ltEs18(xuu642, xuu652)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, gf), gg), ff) → new_esEs24(xuu3110000, xuu6000, gf, gg)
new_lt22(xuu95, xuu98, ty_Char) → new_lt11(xuu95, xuu98)
new_compare24(xuu83, xuu84, False, ead) → new_compare18(xuu83, xuu84, new_ltEs20(xuu83, xuu84, ead), ead)
new_esEs29(xuu3110000, xuu6000, app(ty_Ratio, dcd)) → new_esEs25(xuu3110000, xuu6000, dcd)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs40(xuu640, xuu650, app(ty_Maybe, cbh)) → new_esEs22(xuu640, xuu650, cbh)
new_mkBalBranch6MkBalBranch3(xuu17, xuu18, xuu21, Branch(xuu420, xuu421, xuu422, xuu423, xuu424), True, bb, bc) → new_mkBalBranch6MkBalBranch11(xuu17, xuu18, xuu21, xuu420, xuu421, xuu422, xuu423, xuu424, new_lt10(new_sizeFM(xuu424, bb, bc), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM(xuu423, bb, bc))), bb, bc)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Maybe, ecf), bff) → new_ltEs12(xuu640, xuu650, ecf)
new_ltEs6(xuu642, xuu652, ty_Ordering) → new_ltEs13(xuu642, xuu652)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs15(xuu3110000, xuu6000, bba, bbb, bbc)
new_esEs7(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs25(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dh) → new_asAs(new_esEs31(xuu3110000, xuu6000, dh), new_esEs32(xuu3110001, xuu6001, dh))
new_ltEs20(xuu83, xuu84, ty_Integer) → new_ltEs17(xuu83, xuu84)
new_lt24(xuu31100, xuu60, ty_Bool) → new_lt17(xuu31100, xuu60)
new_esEs4(xuu311000, xuu600, app(app(ty_@2, bge), bgf)) → new_esEs24(xuu311000, xuu600, bge, bgf)
new_lt7(xuu641, xuu651, ty_Bool) → new_lt17(xuu641, xuu651)
new_lt23(xuu640, xuu650, app(ty_Maybe, cbh)) → new_lt13(xuu640, xuu650, cbh)
new_ltEs24(xuu641, xuu651, ty_@0) → new_ltEs18(xuu641, xuu651)
new_esEs5(xuu311001, xuu601, ty_Int) → new_esEs14(xuu311001, xuu601)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_Maybe, dhg)) → new_ltEs12(xuu640, xuu650, dhg)
new_ltEs6(xuu642, xuu652, ty_Int) → new_ltEs9(xuu642, xuu652)
new_esEs39(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_esEs34(xuu95, xuu98, ty_Float) → new_esEs20(xuu95, xuu98)
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_primCompAux00(xuu77, EQ) → xuu77
new_primCmpInt(Pos(Zero), Pos(Succ(xuu6000))) → new_primCmpNat0(Zero, Succ(xuu6000))
new_ltEs23(xuu64, xuu65, app(ty_Maybe, bfh)) → new_ltEs12(xuu64, xuu65, bfh)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Integer) → new_ltEs17(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Float, ff) → new_esEs20(xuu3110000, xuu6000)
new_lt20(xuu109, xuu111, ty_Ordering) → new_lt4(xuu109, xuu111)
new_esEs28(xuu641, xuu651, app(app(app(ty_@3, cha), chb), chc)) → new_esEs15(xuu641, xuu651, cha, chb, chc)
new_esEs37(xuu3110002, xuu6002, app(app(app(ty_@3, gad), gae), gaf)) → new_esEs15(xuu3110002, xuu6002, gad, gae, gaf)
new_ltEs13(GT, EQ) → False
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Float) → new_ltEs4(xuu640, xuu650)
new_ltEs13(EQ, LT) → False
new_mkBalBranch6MkBalBranch11(xuu17, xuu18, xuu21, xuu420, xuu421, xuu422, xuu423, xuu424, True, bb, bc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xuu420, xuu421, xuu423, Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), xuu17, xuu18, xuu424, xuu21, bb, bc)
new_esEs28(xuu641, xuu651, ty_Double) → new_esEs23(xuu641, xuu651)
new_esEs6(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_emptyFM(h, ba) → EmptyFM
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_Ratio, edb), bff) → new_ltEs15(xuu640, xuu650, edb)
new_ltEs6(xuu642, xuu652, ty_Double) → new_ltEs14(xuu642, xuu652)
new_lt21(xuu94, xuu97, ty_Bool) → new_lt17(xuu94, xuu97)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_not(False) → True
new_esEs10(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs10(xuu311001, xuu601, app(app(ty_Either, egb), egc)) → new_esEs16(xuu311001, xuu601, egb, egc)
new_compare24(xuu83, xuu84, True, ead) → EQ
new_esEs11(xuu311002, xuu602, ty_@0) → new_esEs19(xuu311002, xuu602)
new_ltEs20(xuu83, xuu84, ty_Ordering) → new_ltEs13(xuu83, xuu84)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_@2, dhb), dhc)) → new_ltEs7(xuu640, xuu650, dhb, dhc)
new_esEs36(xuu3110001, xuu6001, ty_Float) → new_esEs20(xuu3110001, xuu6001)
new_esEs35(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_lt20(xuu109, xuu111, app(app(app(ty_@3, dde), ddf), ddg)) → new_lt15(xuu109, xuu111, dde, ddf, ddg)
new_ltEs24(xuu641, xuu651, app(app(ty_Either, ccg), cch)) → new_ltEs8(xuu641, xuu651, ccg, cch)
new_ltEs24(xuu641, xuu651, ty_Float) → new_ltEs4(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, app(ty_Ratio, fab)) → new_esEs25(xuu311002, xuu602, fab)
new_ltEs6(xuu642, xuu652, app(ty_[], daa)) → new_ltEs11(xuu642, xuu652, daa)
new_esEs39(xuu3110001, xuu6001, app(app(ty_@2, cah), cba)) → new_esEs24(xuu3110001, xuu6001, cah, cba)
new_esEs37(xuu3110002, xuu6002, app(ty_Maybe, gbb)) → new_esEs22(xuu3110002, xuu6002, gbb)
new_esEs40(xuu640, xuu650, app(ty_[], cbg)) → new_esEs21(xuu640, xuu650, cbg)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, xuu188, bad, bae, baf) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, bad, bae, baf)
new_ltEs19(xuu110, xuu112, ty_Int) → new_ltEs9(xuu110, xuu112)
new_lt23(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(ty_[], edg)) → new_ltEs11(xuu640, xuu650, edg)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Double) → new_ltEs14(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(app(ty_Either, fgc), fgd)) → new_esEs16(xuu3110000, xuu6000, fgc, fgd)
new_esEs34(xuu95, xuu98, app(ty_Maybe, fea)) → new_esEs22(xuu95, xuu98, fea)
new_esEs7(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Int) → new_lt10(xuu94, xuu97)
new_primMulInt(Neg(xuu3110000), Neg(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_Either, ecc), ecd), bff) → new_ltEs8(xuu640, xuu650, ecc, ecd)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_ltEs24(xuu641, xuu651, ty_Double) → new_ltEs14(xuu641, xuu651)
new_ltEs4(xuu64, xuu65) → new_fsEs(new_compare7(xuu64, xuu65))
new_compare8(Just(xuu311000), Nothing, da) → GT
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, ty_Integer) → new_lt18(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Float) → new_esEs20(xuu311002, xuu602)
new_esEs8(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs38(xuu3110000, xuu6000, app(ty_Ratio, bhh)) → new_esEs25(xuu3110000, xuu6000, bhh)
new_sizeFM(Branch(xuu210, xuu211, xuu212, xuu213, xuu214), bb, bc) → xuu212
new_gt(xuu22, xuu17, ty_Double) → new_esEs41(new_compare29(xuu22, xuu17))
new_esEs5(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_esEs37(xuu3110002, xuu6002, app(app(ty_@2, gbc), gbd)) → new_esEs24(xuu3110002, xuu6002, gbc, gbd)
new_lt22(xuu95, xuu98, app(ty_Ratio, fee)) → new_lt16(xuu95, xuu98, fee)
new_esEs33(xuu94, xuu97, app(ty_[], fcf)) → new_esEs21(xuu94, xuu97, fcf)
new_esEs38(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_ltEs22(xuu96, xuu99, ty_Float) → new_ltEs4(xuu96, xuu99)
new_esEs5(xuu311001, xuu601, app(app(ty_Either, dga), dgb)) → new_esEs16(xuu311001, xuu601, dga, dgb)
new_esEs6(xuu311000, xuu600, app(ty_Ratio, bdf)) → new_esEs25(xuu311000, xuu600, bdf)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu6000))) → GT
new_esEs29(xuu3110000, xuu6000, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_esEs34(xuu95, xuu98, ty_Bool) → new_esEs26(xuu95, xuu98)
new_sIZE_RATIOPos(Succ(Succ(Succ(Succ(Succ(Zero))))))
new_mkBalBranch6MkBalBranch4(xuu17, xuu18, EmptyFM, xuu42, True, bb, bc) → error([])
new_compare12(Right(xuu311000), Right(xuu600), cf, cg) → new_compare28(xuu311000, xuu600, new_esEs7(xuu311000, xuu600, cg), cf, cg)
new_ltEs22(xuu96, xuu99, app(ty_Ratio, ffg)) → new_ltEs15(xuu96, xuu99, ffg)
new_primPlusInt(Pos(xuu4220), Pos(xuu1290)) → Pos(new_primPlusNat0(xuu4220, xuu1290))
new_lt23(xuu640, xuu650, ty_Int) → new_lt10(xuu640, xuu650)
new_lt23(xuu640, xuu650, ty_Ordering) → new_lt4(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Integer, ff) → new_esEs18(xuu3110000, xuu6000)
new_esEs40(xuu640, xuu650, app(ty_Ratio, ccd)) → new_esEs25(xuu640, xuu650, ccd)
new_mkBalBranch6MkBalBranch11(xuu17, xuu18, xuu21, xuu420, xuu421, xuu422, xuu423, Branch(xuu4240, xuu4241, xuu4242, xuu4243, xuu4244), False, bb, bc) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xuu4240, xuu4241, new_mkBranch0(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xuu420, xuu421, xuu423, xuu4243, bb, bc), Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), xuu17, xuu18, xuu4244, xuu21, bb, bc)
new_esEs33(xuu94, xuu97, app(app(ty_@2, fcb), fcc)) → new_esEs24(xuu94, xuu97, fcb, fcc)
new_ltEs24(xuu641, xuu651, app(ty_Ratio, cdf)) → new_ltEs15(xuu641, xuu651, cdf)
new_primCompAux0(xuu311000, xuu600, xuu48, dd) → new_primCompAux00(xuu48, new_compare30(xuu311000, xuu600, dd))
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_@0, ff) → new_esEs19(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, ty_@0) → new_ltEs18(xuu83, xuu84)
new_esEs8(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_lt21(xuu94, xuu97, ty_Char) → new_lt11(xuu94, xuu97)
new_ltEs13(GT, GT) → True
new_compare6(LT, GT) → LT
new_lt7(xuu641, xuu651, ty_@0) → new_lt19(xuu641, xuu651)
new_esEs38(xuu3110000, xuu6000, app(ty_Maybe, bhe)) → new_esEs22(xuu3110000, xuu6000, bhe)
new_asAs(False, xuu127) → False
new_lt23(xuu640, xuu650, app(app(ty_Either, cbe), cbf)) → new_lt9(xuu640, xuu650, cbe, cbf)
new_ltEs10(xuu64, xuu65) → new_fsEs(new_compare26(xuu64, xuu65))
new_ltEs23(xuu64, xuu65, ty_Int) → new_ltEs9(xuu64, xuu65)
new_lt23(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_lt23(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_primMulInt(Pos(xuu3110000), Neg(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_primMulInt(Neg(xuu3110000), Pos(xuu6000)) → Neg(new_primMulNat0(xuu3110000, xuu6000))
new_lt20(xuu109, xuu111, ty_@0) → new_lt19(xuu109, xuu111)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(app(ty_@2, baa), bab)) → new_esEs24(xuu3110000, xuu6000, baa, bab)
new_lt9(xuu31100, xuu60, cf, cg) → new_esEs12(new_compare12(xuu31100, xuu60, cf, cg))
new_esEs27(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs18(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_compare11(Integer(xuu311000), Integer(xuu600)) → new_primCmpInt(xuu311000, xuu600)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Ordering, ff) → new_esEs17(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, app(ty_Ratio, fbf)) → new_ltEs15(xuu71, xuu72, fbf)
new_lt6(xuu640, xuu650, ty_Double) → new_lt14(xuu640, xuu650)
new_lt7(xuu641, xuu651, app(ty_Ratio, chd)) → new_lt16(xuu641, xuu651, chd)
new_lt24(xuu31100, xuu60, app(app(app(ty_@3, dag), dah), dba)) → new_lt15(xuu31100, xuu60, dag, dah, dba)
new_ltEs14(xuu64, xuu65) → new_fsEs(new_compare29(xuu64, xuu65))
new_esEs28(xuu641, xuu651, ty_@0) → new_esEs19(xuu641, xuu651)
new_lt17(xuu31100, xuu60) → new_esEs12(new_compare14(xuu31100, xuu60))
new_compare8(Just(xuu311000), Just(xuu600), da) → new_compare24(xuu311000, xuu600, new_esEs8(xuu311000, xuu600, da), da)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, bcb)) → new_esEs25(xuu3110000, xuu6000, bcb)
new_esEs36(xuu3110001, xuu6001, app(ty_[], fhg)) → new_esEs21(xuu3110001, xuu6001, fhg)
new_esEs8(xuu311000, xuu600, app(app(ty_@2, cef), ceg)) → new_esEs24(xuu311000, xuu600, cef, ceg)
new_esEs9(xuu311000, xuu600, app(ty_[], efb)) → new_esEs21(xuu311000, xuu600, efb)
new_ltEs12(Nothing, Just(xuu650), bfh) → True
new_esEs17(LT, EQ) → False
new_esEs17(EQ, LT) → False
new_compare18(xuu154, xuu155, False, de) → GT
new_ltEs6(xuu642, xuu652, ty_Bool) → new_ltEs16(xuu642, xuu652)
new_lt24(xuu31100, xuu60, ty_Ordering) → new_lt4(xuu31100, xuu60)
new_esEs41(GT) → True
new_esEs33(xuu94, xuu97, ty_Ordering) → new_esEs17(xuu94, xuu97)
new_esEs4(xuu311000, xuu600, app(ty_[], dbb)) → new_esEs21(xuu311000, xuu600, dbb)
new_compare15(xuu166, xuu167, xuu168, xuu169, False, xuu171, df, dg) → new_compare19(xuu166, xuu167, xuu168, xuu169, xuu171, df, dg)
new_compare28(xuu71, xuu72, False, fac, fad) → new_compare113(xuu71, xuu72, new_ltEs21(xuu71, xuu72, fad), fac, fad)
new_esEs21(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), dbb) → new_asAs(new_esEs29(xuu3110000, xuu6000, dbb), new_esEs21(xuu3110001, xuu6001, dbb))
new_lt7(xuu641, xuu651, app(ty_[], cgg)) → new_lt12(xuu641, xuu651, cgg)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(ty_Maybe, hh)) → new_esEs22(xuu3110000, xuu6000, hh)
new_esEs37(xuu3110002, xuu6002, ty_Double) → new_esEs23(xuu3110002, xuu6002)
new_esEs30(xuu109, xuu111, ty_Double) → new_esEs23(xuu109, xuu111)
new_ltEs22(xuu96, xuu99, app(app(ty_@2, fef), feg)) → new_ltEs7(xuu96, xuu99, fef, feg)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Char, ff) → new_esEs13(xuu3110000, xuu6000)
new_mkBranch(xuu227, xuu228, xuu229, xuu230, xuu231, xuu232, xuu233, xuu234, xuu235, bcc, bcd) → new_mkBranchResult(xuu228, xuu229, new_mkBranch0(xuu231, xuu232, xuu233, xuu234, xuu235, bcc, bcd), xuu230, bcc, bcd)
new_esEs35(xuu3110000, xuu6000, app(ty_Maybe, fgf)) → new_esEs22(xuu3110000, xuu6000, fgf)
new_ltEs13(LT, LT) → True
new_esEs34(xuu95, xuu98, app(app(ty_Either, fdf), fdg)) → new_esEs16(xuu95, xuu98, fdf, fdg)
new_addToFM_C0(EmptyFM, xuu31100, xuu31101, h, ba) → Branch(xuu31100, xuu31101, Pos(Succ(Zero)), new_emptyFM(h, ba), new_emptyFM(h, ba))
new_ltEs8(Left(xuu640), Left(xuu650), app(app(ty_@2, eca), ecb), bff) → new_ltEs7(xuu640, xuu650, eca, ecb)
new_asAs(True, xuu127) → xuu127
new_compare112(xuu140, xuu141, True, dgh, dha) → LT
new_esEs28(xuu641, xuu651, app(app(ty_Either, cge), cgf)) → new_esEs16(xuu641, xuu651, cge, cgf)
new_esEs40(xuu640, xuu650, ty_@0) → new_esEs19(xuu640, xuu650)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Int) → new_ltEs9(xuu640, xuu650)
new_ltEs6(xuu642, xuu652, app(app(ty_Either, chg), chh)) → new_ltEs8(xuu642, xuu652, chg, chh)
new_compare30(xuu311000, xuu600, app(app(ty_@2, ec), ed)) → new_compare16(xuu311000, xuu600, ec, ed)
new_esEs39(xuu3110001, xuu6001, app(ty_Ratio, cbb)) → new_esEs25(xuu3110001, xuu6001, cbb)
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Integer) → new_compare11(new_sr0(xuu311000, xuu601), new_sr0(xuu600, xuu311001))
new_mkBalBranch6MkBalBranch01(xuu17, xuu18, xuu210, xuu211, xuu212, Branch(xuu2130, xuu2131, xuu2132, xuu2133, xuu2134), xuu214, xuu42, False, bb, bc) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xuu2130, xuu2131, new_mkBranchResult(xuu17, xuu18, xuu2133, xuu42, bb, bc), Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xuu210, xuu211, xuu2134, xuu214, bb, bc)
new_ltEs12(Just(xuu640), Nothing, bfh) → False
new_lt20(xuu109, xuu111, ty_Bool) → new_lt17(xuu109, xuu111)
new_ltEs16(False, False) → True
new_compare1(:(xuu311000, xuu311001), [], dd) → GT
new_lt22(xuu95, xuu98, app(ty_Maybe, fea)) → new_lt13(xuu95, xuu98, fea)
new_esEs38(xuu3110000, xuu6000, app(app(ty_Either, bhb), bhc)) → new_esEs16(xuu3110000, xuu6000, bhb, bhc)
new_esEs29(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs15(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dfc, dfd, dfe) → new_asAs(new_esEs35(xuu3110000, xuu6000, dfc), new_asAs(new_esEs36(xuu3110001, xuu6001, dfd), new_esEs37(xuu3110002, xuu6002, dfe)))
new_lt21(xuu94, xuu97, ty_Double) → new_lt14(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Bool) → new_ltEs16(xuu640, xuu650)
new_lt7(xuu641, xuu651, app(ty_Maybe, cgh)) → new_lt13(xuu641, xuu651, cgh)
new_compare15(xuu166, xuu167, xuu168, xuu169, True, xuu171, df, dg) → new_compare19(xuu166, xuu167, xuu168, xuu169, True, df, dg)
new_ltEs8(Left(xuu640), Right(xuu650), bfe, bff) → True
new_esEs4(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_esEs6(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, False, fbg, fbh, fca) → new_compare110(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, new_lt21(xuu94, xuu97, fbg), new_asAs(new_esEs33(xuu94, xuu97, fbg), new_pePe(new_lt22(xuu95, xuu98, fbh), new_asAs(new_esEs34(xuu95, xuu98, fbh), new_ltEs22(xuu96, xuu99, fca)))), fbg, fbh, fca)
new_addToFM_C10(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, db, dc) → Branch(xuu39, xuu40, xuu36, xuu37, xuu38)
new_ltEs24(xuu641, xuu651, app(ty_Maybe, cdb)) → new_ltEs12(xuu641, xuu651, cdb)
new_gt(xuu22, xuu17, ty_@0) → new_esEs41(new_compare17(xuu22, xuu17))
new_esEs6(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs7(xuu311000, xuu600, app(ty_[], bed)) → new_esEs21(xuu311000, xuu600, bed)
new_esEs22(Just(xuu3110000), Nothing, bah) → False
new_esEs22(Nothing, Just(xuu6000), bah) → False
new_esEs33(xuu94, xuu97, ty_@0) → new_esEs19(xuu94, xuu97)
new_ltEs20(xuu83, xuu84, ty_Char) → new_ltEs10(xuu83, xuu84)
new_addToFM_C10(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, db, dc) → new_mkBalBranch(xuu34, xuu35, xuu37, new_addToFM_C0(xuu38, xuu39, xuu40, db, dc), db, dc)
new_compare14(False, True) → LT
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_lt20(xuu109, xuu111, app(app(ty_Either, dda), ddb)) → new_lt9(xuu109, xuu111, dda, ddb)
new_not(True) → False
new_ltEs19(xuu110, xuu112, ty_Ordering) → new_ltEs13(xuu110, xuu112)
new_primMinusNat0(Succ(xuu42200), Succ(xuu12900)) → new_primMinusNat0(xuu42200, xuu12900)
new_compare1([], [], dd) → EQ
new_lt6(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_esEs38(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_lt21(xuu94, xuu97, ty_Float) → new_lt5(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_lt7(xuu641, xuu651, ty_Ordering) → new_lt4(xuu641, xuu651)
new_esEs7(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, ty_Integer) → new_esEs18(xuu311002, xuu602)
new_esEs28(xuu641, xuu651, ty_Char) → new_esEs13(xuu641, xuu651)
new_mkBalBranch6Size_l(xuu17, xuu18, xuu21, xuu42, bb, bc) → new_sizeFM(xuu42, bb, bc)
new_ltEs22(xuu96, xuu99, ty_Int) → new_ltEs9(xuu96, xuu99)
new_ltEs12(Just(xuu640), Just(xuu650), ty_@0) → new_ltEs18(xuu640, xuu650)
new_lt22(xuu95, xuu98, ty_Int) → new_lt10(xuu95, xuu98)
new_mkBalBranch6MkBalBranch5(xuu17, xuu18, xuu21, xuu42, True, bb, bc) → new_mkBranchResult(xuu17, xuu18, xuu21, xuu42, bb, bc)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_[], gd), ff) → new_esEs21(xuu3110000, xuu6000, gd)
new_gt(xuu22, xuu17, app(ty_[], bh)) → new_esEs41(new_compare1(xuu22, xuu17, bh))
new_gt(xuu22, xuu17, app(app(ty_@2, bd), be)) → new_esEs41(new_compare16(xuu22, xuu17, bd, be))
new_lt6(xuu640, xuu650, ty_Integer) → new_lt18(xuu640, xuu650)
new_addToFM_C20(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, bb, bc) → new_addToFM_C10(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_gt(xuu22, xuu17, bb), bb, bc)
new_esEs28(xuu641, xuu651, ty_Int) → new_esEs14(xuu641, xuu651)
new_ltEs19(xuu110, xuu112, ty_Float) → new_ltEs4(xuu110, xuu112)
new_lt10(xuu31100, xuu60) → new_esEs12(new_compare10(xuu31100, xuu60))
new_ltEs21(xuu71, xuu72, ty_Char) → new_ltEs10(xuu71, xuu72)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Float, bff) → new_ltEs4(xuu640, xuu650)
new_esEs26(True, True) → True
new_primMulNat0(Zero, Zero) → Zero
new_esEs34(xuu95, xuu98, ty_@0) → new_esEs19(xuu95, xuu98)
new_esEs5(xuu311001, xuu601, app(ty_Maybe, dgd)) → new_esEs22(xuu311001, xuu601, dgd)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_ltEs24(xuu641, xuu651, ty_Integer) → new_ltEs17(xuu641, xuu651)
new_esEs35(xuu3110000, xuu6000, ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs30(xuu109, xuu111, app(ty_Ratio, ddh)) → new_esEs25(xuu109, xuu111, ddh)
new_mkBalBranch6MkBalBranch01(xuu17, xuu18, xuu210, xuu211, xuu212, xuu213, xuu214, xuu42, True, bb, bc) → new_mkBranchResult(xuu210, xuu211, xuu214, new_mkBranchResult(xuu17, xuu18, xuu213, xuu42, bb, bc), bb, bc)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs19(xuu3110000, xuu6000)
new_esEs35(xuu3110000, xuu6000, app(ty_Ratio, fha)) → new_esEs25(xuu3110000, xuu6000, fha)
new_ltEs22(xuu96, xuu99, ty_Double) → new_ltEs14(xuu96, xuu99)
new_lt20(xuu109, xuu111, ty_Double) → new_lt14(xuu109, xuu111)
new_esEs36(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(ty_[], hg)) → new_esEs21(xuu3110000, xuu6000, hg)
new_compare30(xuu311000, xuu600, ty_Bool) → new_compare14(xuu311000, xuu600)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Char, bff) → new_ltEs10(xuu640, xuu650)
new_esEs8(xuu311000, xuu600, app(ty_Ratio, ceh)) → new_esEs25(xuu311000, xuu600, ceh)
new_lt6(xuu640, xuu650, app(app(ty_@2, cfa), cfb)) → new_lt8(xuu640, xuu650, cfa, cfb)
new_ltEs22(xuu96, xuu99, app(app(ty_Either, feh), ffa)) → new_ltEs8(xuu96, xuu99, feh, ffa)
new_esEs8(xuu311000, xuu600, app(app(ty_Either, ceb), cec)) → new_esEs16(xuu311000, xuu600, ceb, cec)
new_esEs37(xuu3110002, xuu6002, ty_Integer) → new_esEs18(xuu3110002, xuu6002)
new_esEs11(xuu311002, xuu602, app(app(ty_Either, ehd), ehe)) → new_esEs16(xuu311002, xuu602, ehd, ehe)
new_esEs10(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_ltEs19(xuu110, xuu112, app(ty_Maybe, def)) → new_ltEs12(xuu110, xuu112, def)
new_compare30(xuu311000, xuu600, ty_Float) → new_compare7(xuu311000, xuu600)
new_compare9(:%(xuu311000, xuu311001), :%(xuu600, xuu601), ty_Int) → new_compare10(new_sr(xuu311000, xuu601), new_sr(xuu600, xuu311001))
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, bbg)) → new_esEs22(xuu3110000, xuu6000, bbg)
new_esEs7(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_esEs40(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_ltEs16(True, True) → True
new_esEs4(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_compare25(xuu109, xuu110, xuu111, xuu112, False, dce, dcf) → new_compare15(xuu109, xuu110, xuu111, xuu112, new_lt20(xuu109, xuu111, dce), new_asAs(new_esEs30(xuu109, xuu111, dce), new_ltEs19(xuu110, xuu112, dcf)), dce, dcf)
new_esEs33(xuu94, xuu97, ty_Bool) → new_esEs26(xuu94, xuu97)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_mkBalBranch(xuu17, xuu18, xuu42, xuu21, bb, bc) → new_mkBalBranch6MkBalBranch5(xuu17, xuu18, xuu21, xuu42, new_lt10(new_primPlusInt(new_mkBalBranch6Size_l(xuu17, xuu18, xuu21, xuu42, bb, bc), new_mkBalBranch6Size_r(xuu17, xuu18, xuu21, xuu42, bb, bc)), Pos(Succ(Succ(Zero)))), bb, bc)
new_esEs6(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_lt18(xuu31100, xuu60) → new_esEs12(new_compare11(xuu31100, xuu60))
new_esEs11(xuu311002, xuu602, app(ty_Maybe, ehg)) → new_esEs22(xuu311002, xuu602, ehg)
new_esEs10(xuu311001, xuu601, app(app(ty_@2, egf), egg)) → new_esEs24(xuu311001, xuu601, egf, egg)
new_esEs37(xuu3110002, xuu6002, app(ty_Ratio, gbe)) → new_esEs25(xuu3110002, xuu6002, gbe)
new_ltEs15(xuu64, xuu65, bgd) → new_fsEs(new_compare9(xuu64, xuu65, bgd))
new_compare14(True, False) → GT
new_lt24(xuu31100, xuu60, app(ty_Maybe, da)) → new_lt13(xuu31100, xuu60, da)
new_ltEs19(xuu110, xuu112, app(ty_[], dee)) → new_ltEs11(xuu110, xuu112, dee)
new_lt22(xuu95, xuu98, app(ty_[], fdh)) → new_lt12(xuu95, xuu98, fdh)
new_esEs31(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, app(app(app(ty_@3, dfc), dfd), dfe)) → new_esEs15(xuu311000, xuu600, dfc, dfd, dfe)
new_ltEs21(xuu71, xuu72, ty_Int) → new_ltEs9(xuu71, xuu72)
new_esEs27(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_ltEs13(EQ, GT) → True
new_esEs35(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Char) → new_ltEs10(xuu640, xuu650)
new_esEs35(xuu3110000, xuu6000, app(app(app(ty_@3, ffh), fga), fgb)) → new_esEs15(xuu3110000, xuu6000, ffh, fga, fgb)
new_lt20(xuu109, xuu111, ty_Float) → new_lt5(xuu109, xuu111)
new_compare6(LT, EQ) → LT
new_ltEs7(@2(xuu640, xuu641), @2(xuu650, xuu651), bfc, bfd) → new_pePe(new_lt23(xuu640, xuu650, bfc), new_asAs(new_esEs40(xuu640, xuu650, bfc), new_ltEs24(xuu641, xuu651, bfd)))
new_lt7(xuu641, xuu651, app(app(app(ty_@3, cha), chb), chc)) → new_lt15(xuu641, xuu651, cha, chb, chc)
new_esEs12(LT) → True
new_esEs36(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_primCmpNat0(Zero, Succ(xuu6000)) → LT
new_compare30(xuu311000, xuu600, ty_Int) → new_compare10(xuu311000, xuu600)
new_gt(xuu22, xuu17, app(app(ty_Either, bf), bg)) → new_esEs41(new_compare12(xuu22, xuu17, bf, bg))
new_esEs39(xuu3110001, xuu6001, ty_Double) → new_esEs23(xuu3110001, xuu6001)
new_ltEs20(xuu83, xuu84, ty_Double) → new_ltEs14(xuu83, xuu84)
new_ltEs22(xuu96, xuu99, ty_Bool) → new_ltEs16(xuu96, xuu99)
new_esEs5(xuu311001, xuu601, app(ty_[], dgc)) → new_esEs21(xuu311001, xuu601, dgc)
new_mkBalBranch6MkBalBranch3(xuu17, xuu18, xuu21, xuu42, False, bb, bc) → new_mkBranchResult(xuu17, xuu18, xuu21, xuu42, bb, bc)
new_esEs11(xuu311002, xuu602, app(app(ty_@2, ehh), faa)) → new_esEs24(xuu311002, xuu602, ehh, faa)
new_esEs10(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_esEs9(xuu311000, xuu600, app(ty_Ratio, eff)) → new_esEs25(xuu311000, xuu600, eff)
new_esEs37(xuu3110002, xuu6002, app(app(ty_Either, gag), gah)) → new_esEs16(xuu3110002, xuu6002, gag, gah)
new_esEs8(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_mkBranch0(xuu231, xuu232, xuu233, xuu234, xuu235, bcc, bcd) → new_mkBranchResult(xuu232, xuu233, xuu235, xuu234, bcc, bcd)
new_esEs28(xuu641, xuu651, app(app(ty_@2, cgc), cgd)) → new_esEs24(xuu641, xuu651, cgc, cgd)
new_esEs27(xuu640, xuu650, app(app(ty_@2, cfa), cfb)) → new_esEs24(xuu640, xuu650, cfa, cfb)
new_esEs30(xuu109, xuu111, ty_@0) → new_esEs19(xuu109, xuu111)
new_gt(xuu22, xuu17, ty_Integer) → new_esEs41(new_compare11(xuu22, xuu17))
new_esEs37(xuu3110002, xuu6002, ty_Int) → new_esEs14(xuu3110002, xuu6002)
new_ltEs24(xuu641, xuu651, app(ty_[], cda)) → new_ltEs11(xuu641, xuu651, cda)
new_esEs33(xuu94, xuu97, app(ty_Ratio, fdc)) → new_esEs25(xuu94, xuu97, fdc)
new_compare30(xuu311000, xuu600, ty_Integer) → new_compare11(xuu311000, xuu600)
new_compare12(Left(xuu311000), Left(xuu600), cf, cg) → new_compare210(xuu311000, xuu600, new_esEs6(xuu311000, xuu600, cf), cf, cg)
new_esEs10(xuu311001, xuu601, app(ty_[], egd)) → new_esEs21(xuu311001, xuu601, egd)
new_compare110(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, xuu188, bad, bae, baf) → new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, xuu188, bad, bae, baf)
new_esEs6(xuu311000, xuu600, ty_Float) → new_esEs20(xuu311000, xuu600)
new_esEs8(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_gt(xuu22, xuu17, ty_Char) → new_esEs41(new_compare26(xuu22, xuu17))
new_ltEs19(xuu110, xuu112, app(app(ty_Either, dec), ded)) → new_ltEs8(xuu110, xuu112, dec, ded)
new_esEs5(xuu311001, xuu601, app(ty_Ratio, dgg)) → new_esEs25(xuu311001, xuu601, dgg)
new_compare12(Left(xuu311000), Right(xuu600), cf, cg) → LT
new_esEs37(xuu3110002, xuu6002, ty_Float) → new_esEs20(xuu3110002, xuu6002)
new_esEs27(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs5(xuu311001, xuu601, app(app(app(ty_@3, dff), dfg), dfh)) → new_esEs15(xuu311001, xuu601, dff, dfg, dfh)
new_ltEs24(xuu641, xuu651, ty_Char) → new_ltEs10(xuu641, xuu651)
new_lt22(xuu95, xuu98, app(app(ty_@2, fdd), fde)) → new_lt8(xuu95, xuu98, fdd, fde)
new_esEs38(xuu3110000, xuu6000, app(ty_[], bhd)) → new_esEs21(xuu3110000, xuu6000, bhd)
new_lt24(xuu31100, xuu60, ty_Double) → new_lt14(xuu31100, xuu60)
new_ltEs23(xuu64, xuu65, ty_Ordering) → new_ltEs13(xuu64, xuu65)
new_esEs4(xuu311000, xuu600, app(ty_Ratio, dh)) → new_esEs25(xuu311000, xuu600, dh)
new_sr(xuu311000, xuu600) → new_primMulInt(xuu311000, xuu600)
new_esEs22(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs7(xuu311000, xuu600, app(app(ty_@2, bef), beg)) → new_esEs24(xuu311000, xuu600, bef, beg)
new_lt24(xuu31100, xuu60, ty_Float) → new_lt5(xuu31100, xuu60)
new_ltEs19(xuu110, xuu112, ty_Char) → new_ltEs10(xuu110, xuu112)
new_esEs9(xuu311000, xuu600, app(app(ty_@2, efd), efe)) → new_esEs24(xuu311000, xuu600, efd, efe)
new_ltEs12(Just(xuu640), Just(xuu650), app(ty_[], dhf)) → new_ltEs11(xuu640, xuu650, dhf)
new_esEs30(xuu109, xuu111, ty_Bool) → new_esEs26(xuu109, xuu111)
new_ltEs8(Left(xuu640), Left(xuu650), ty_Double, bff) → new_ltEs14(xuu640, xuu650)
new_esEs28(xuu641, xuu651, app(ty_[], cgg)) → new_esEs21(xuu641, xuu651, cgg)
new_esEs26(False, False) → True
new_ltEs23(xuu64, xuu65, ty_Double) → new_ltEs14(xuu64, xuu65)
new_ltEs11(xuu64, xuu65, bfg) → new_fsEs(new_compare1(xuu64, xuu65, bfg))
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_ltEs20(xuu83, xuu84, app(app(app(ty_@3, ebc), ebd), ebe)) → new_ltEs5(xuu83, xuu84, ebc, ebd, ebe)
new_esEs32(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_esEs34(xuu95, xuu98, app(ty_[], fdh)) → new_esEs21(xuu95, xuu98, fdh)
new_lt22(xuu95, xuu98, ty_Ordering) → new_lt4(xuu95, xuu98)
new_esEs27(xuu640, xuu650, app(ty_[], cfe)) → new_esEs21(xuu640, xuu650, cfe)
new_compare113(xuu147, xuu148, True, ebg, ebh) → LT
new_ltEs8(Left(xuu640), Left(xuu650), app(app(app(ty_@3, ecg), ech), eda), bff) → new_ltEs5(xuu640, xuu650, ecg, ech, eda)
new_gt(xuu22, xuu17, app(ty_Ratio, ce)) → new_esEs41(new_compare9(xuu22, xuu17, ce))
new_esEs5(xuu311001, xuu601, ty_Double) → new_esEs23(xuu311001, xuu601)
new_esEs30(xuu109, xuu111, app(app(ty_@2, dcg), dch)) → new_esEs24(xuu109, xuu111, dcg, dch)
new_esEs29(xuu3110000, xuu6000, app(ty_Maybe, dca)) → new_esEs22(xuu3110000, xuu6000, dca)
new_esEs11(xuu311002, xuu602, app(app(app(ty_@3, eha), ehb), ehc)) → new_esEs15(xuu311002, xuu602, eha, ehb, ehc)
new_esEs30(xuu109, xuu111, app(ty_Maybe, ddd)) → new_esEs22(xuu109, xuu111, ddd)
new_ltEs23(xuu64, xuu65, ty_Bool) → new_ltEs16(xuu64, xuu65)
new_esEs28(xuu641, xuu651, ty_Float) → new_esEs20(xuu641, xuu651)
new_esEs17(EQ, EQ) → True
new_compare16(@2(xuu311000, xuu311001), @2(xuu600, xuu601), ea, eb) → new_compare25(xuu311000, xuu311001, xuu600, xuu601, new_asAs(new_esEs4(xuu311000, xuu600, ea), new_esEs5(xuu311001, xuu601, eb)), ea, eb)
new_lt22(xuu95, xuu98, app(app(ty_Either, fdf), fdg)) → new_lt9(xuu95, xuu98, fdf, fdg)
new_esEs11(xuu311002, xuu602, ty_Bool) → new_esEs26(xuu311002, xuu602)
new_esEs39(xuu3110001, xuu6001, app(app(app(ty_@3, caa), cab), cac)) → new_esEs15(xuu3110001, xuu6001, caa, cab, cac)
new_esEs8(xuu311000, xuu600, ty_Bool) → new_esEs26(xuu311000, xuu600)
new_lt6(xuu640, xuu650, app(app(app(ty_@3, cfg), cfh), cga)) → new_lt15(xuu640, xuu650, cfg, cfh, cga)
new_esEs28(xuu641, xuu651, ty_Ordering) → new_esEs17(xuu641, xuu651)
new_compare112(xuu140, xuu141, False, dgh, dha) → GT
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs22(xuu96, xuu99, app(ty_Maybe, ffc)) → new_ltEs12(xuu96, xuu99, ffc)
new_esEs40(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Char) → new_esEs13(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, ty_Int) → new_esEs14(xuu95, xuu98)
new_esEs38(xuu3110000, xuu6000, ty_Integer) → new_esEs18(xuu3110000, xuu6000)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, bbh), bca)) → new_esEs24(xuu3110000, xuu6000, bbh, bca)
new_ltEs21(xuu71, xuu72, app(ty_[], fba)) → new_ltEs11(xuu71, xuu72, fba)
new_esEs11(xuu311002, xuu602, ty_Int) → new_esEs14(xuu311002, xuu602)
new_esEs10(xuu311001, xuu601, app(ty_Maybe, ege)) → new_esEs22(xuu311001, xuu601, ege)
new_esEs10(xuu311001, xuu601, app(app(app(ty_@3, efg), efh), ega)) → new_esEs15(xuu311001, xuu601, efg, efh, ega)
new_ltEs23(xuu64, xuu65, ty_@0) → new_ltEs18(xuu64, xuu65)
new_compare6(GT, GT) → EQ
new_esEs7(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_lt24(xuu31100, xuu60, app(app(ty_@2, ea), eb)) → new_lt8(xuu31100, xuu60, ea, eb)
new_ltEs24(xuu641, xuu651, app(app(app(ty_@3, cdc), cdd), cde)) → new_ltEs5(xuu641, xuu651, cdc, cdd, cde)
new_primCmpNat0(Succ(xuu3110000), Succ(xuu6000)) → new_primCmpNat0(xuu3110000, xuu6000)
new_primMinusNat0(Succ(xuu42200), Zero) → Pos(Succ(xuu42200))
new_esEs16(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, fg), fh), ga), ff) → new_esEs15(xuu3110000, xuu6000, fg, fh, ga)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(ty_Ratio, eed)) → new_ltEs15(xuu640, xuu650, eed)
new_sizeFM(EmptyFM, bb, bc) → Pos(Zero)
new_esEs9(xuu311000, xuu600, app(app(ty_Either, eeh), efa)) → new_esEs16(xuu311000, xuu600, eeh, efa)
new_compare30(xuu311000, xuu600, app(app(ty_Either, ee), ef)) → new_compare12(xuu311000, xuu600, ee, ef)
new_ltEs22(xuu96, xuu99, ty_Integer) → new_ltEs17(xuu96, xuu99)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Bool) → new_ltEs16(xuu640, xuu650)
new_ltEs13(GT, LT) → False
new_esEs36(xuu3110001, xuu6001, app(app(ty_@2, gaa), gab)) → new_esEs24(xuu3110001, xuu6001, gaa, gab)
new_lt8(xuu31100, xuu60, ea, eb) → new_esEs12(new_compare16(xuu31100, xuu60, ea, eb))
new_ltEs13(EQ, EQ) → True
new_esEs7(xuu311000, xuu600, app(app(app(ty_@3, bdg), bdh), bea)) → new_esEs15(xuu311000, xuu600, bdg, bdh, bea)
new_compare8(Nothing, Nothing, da) → EQ
new_esEs27(xuu640, xuu650, ty_Bool) → new_esEs26(xuu640, xuu650)
new_esEs17(LT, GT) → False
new_esEs17(GT, LT) → False
new_esEs40(xuu640, xuu650, ty_Char) → new_esEs13(xuu640, xuu650)
new_esEs21([], :(xuu6000, xuu6001), dbb) → False
new_esEs21(:(xuu3110000, xuu3110001), [], dbb) → False
new_esEs8(xuu311000, xuu600, ty_Integer) → new_esEs18(xuu311000, xuu600)
new_esEs29(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_esEs17(EQ, GT) → False
new_esEs17(GT, EQ) → False
new_ltEs12(Just(xuu640), Just(xuu650), ty_Float) → new_ltEs4(xuu640, xuu650)
new_compare113(xuu147, xuu148, False, ebg, ebh) → GT
new_compare30(xuu311000, xuu600, ty_@0) → new_compare17(xuu311000, xuu600)
new_ltEs19(xuu110, xuu112, ty_Double) → new_ltEs14(xuu110, xuu112)
new_primCompAux00(xuu77, LT) → LT
new_esEs30(xuu109, xuu111, ty_Int) → new_esEs14(xuu109, xuu111)
new_lt22(xuu95, xuu98, ty_Integer) → new_lt18(xuu95, xuu98)
new_esEs27(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_compare29(Double(xuu311000, xuu311001), Double(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_esEs35(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_compare1(:(xuu311000, xuu311001), :(xuu600, xuu601), dd) → new_primCompAux0(xuu311000, xuu600, new_compare1(xuu311001, xuu601, dd), dd)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primPlusNat0(Zero, Succ(xuu12900)) → Succ(xuu12900)
new_primPlusNat0(Succ(xuu42200), Zero) → Succ(xuu42200)
new_lt6(xuu640, xuu650, ty_Bool) → new_lt17(xuu640, xuu650)
new_primCmpNat0(Zero, Zero) → EQ
new_compare27(xuu94, xuu95, xuu96, xuu97, xuu98, xuu99, True, fbg, fbh, fca) → EQ
new_ltEs21(xuu71, xuu72, ty_Double) → new_ltEs14(xuu71, xuu72)
new_ltEs6(xuu642, xuu652, ty_Char) → new_ltEs10(xuu642, xuu652)
new_primCmpNat0(Succ(xuu3110000), Zero) → GT
new_esEs29(xuu3110000, xuu6000, app(app(ty_@2, dcb), dcc)) → new_esEs24(xuu3110000, xuu6000, dcb, dcc)
new_lt22(xuu95, xuu98, ty_@0) → new_lt19(xuu95, xuu98)
new_compare14(False, False) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xuu6000))) → LT
new_ltEs22(xuu96, xuu99, ty_Char) → new_ltEs10(xuu96, xuu99)
new_sr0(Integer(xuu3110000), Integer(xuu6010)) → Integer(new_primMulInt(xuu3110000, xuu6010))
new_esEs31(xuu3110000, xuu6000, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_compare28(xuu71, xuu72, True, fac, fad) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_lt23(xuu640, xuu650, app(app(ty_@2, cbc), cbd)) → new_lt8(xuu640, xuu650, cbc, cbd)
new_esEs33(xuu94, xuu97, ty_Float) → new_esEs20(xuu94, xuu97)
new_mkBranchResult(xuu17, xuu18, xuu21, xuu42, bb, bc) → Branch(xuu17, xuu18, new_primPlusInt(new_primPlusInt(Pos(Succ(Zero)), new_sizeFM(xuu42, bb, bc)), new_sizeFM(xuu21, bb, bc)), xuu42, xuu21)
new_ltEs23(xuu64, xuu65, ty_Integer) → new_ltEs17(xuu64, xuu65)
new_esEs40(xuu640, xuu650, ty_Double) → new_esEs23(xuu640, xuu650)
new_esEs26(False, True) → False
new_esEs26(True, False) → False
new_primPlusInt(Neg(xuu4220), Pos(xuu1290)) → new_primMinusNat0(xuu1290, xuu4220)
new_primPlusInt(Pos(xuu4220), Neg(xuu1290)) → new_primMinusNat0(xuu4220, xuu1290)
new_mkBalBranch6MkBalBranch3(xuu17, xuu18, xuu21, EmptyFM, True, bb, bc) → error([])
new_esEs27(xuu640, xuu650, app(app(ty_Either, cfc), cfd)) → new_esEs16(xuu640, xuu650, cfc, cfd)
new_ltEs8(Left(xuu640), Left(xuu650), app(ty_[], ece), bff) → new_ltEs11(xuu640, xuu650, ece)
new_esEs29(xuu3110000, xuu6000, app(app(ty_Either, dbf), dbg)) → new_esEs16(xuu3110000, xuu6000, dbf, dbg)
new_ltEs12(Just(xuu640), Just(xuu650), app(app(ty_Either, dhd), dhe)) → new_ltEs8(xuu640, xuu650, dhd, dhe)
new_lt11(xuu31100, xuu60) → new_esEs12(new_compare26(xuu31100, xuu60))
new_esEs33(xuu94, xuu97, ty_Char) → new_esEs13(xuu94, xuu97)
new_esEs39(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(ty_Maybe, edh)) → new_ltEs12(xuu640, xuu650, edh)
new_esEs7(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs11(xuu311002, xuu602, app(ty_[], ehf)) → new_esEs21(xuu311002, xuu602, ehf)
new_esEs36(xuu3110001, xuu6001, ty_@0) → new_esEs19(xuu3110001, xuu6001)
new_esEs5(xuu311001, xuu601, ty_@0) → new_esEs19(xuu311001, xuu601)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Bool, ff) → new_esEs26(xuu3110000, xuu6000)
new_esEs41(EQ) → False
new_esEs23(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs34(xuu95, xuu98, app(app(app(ty_@3, feb), fec), fed)) → new_esEs15(xuu95, xuu98, feb, fec, fed)
new_esEs30(xuu109, xuu111, ty_Ordering) → new_esEs17(xuu109, xuu111)
new_mkBalBranch6MkBalBranch4(xuu17, xuu18, Branch(xuu210, xuu211, xuu212, xuu213, xuu214), xuu42, True, bb, bc) → new_mkBalBranch6MkBalBranch01(xuu17, xuu18, xuu210, xuu211, xuu212, xuu213, xuu214, xuu42, new_lt10(new_sizeFM(xuu213, bb, bc), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM(xuu214, bb, bc))), bb, bc)
new_gt(xuu22, xuu17, ty_Float) → new_esEs41(new_compare7(xuu22, xuu17))
new_esEs8(xuu311000, xuu600, app(ty_[], ced)) → new_esEs21(xuu311000, xuu600, ced)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(app(ty_Either, ede), edf)) → new_ltEs8(xuu640, xuu650, ede, edf)
new_esEs37(xuu3110002, xuu6002, app(ty_[], gba)) → new_esEs21(xuu3110002, xuu6002, gba)
new_esEs5(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_gt(xuu22, xuu17, ty_Bool) → new_esEs41(new_compare14(xuu22, xuu17))
new_esEs9(xuu311000, xuu600, ty_Char) → new_esEs13(xuu311000, xuu600)
new_compare210(xuu64, xuu65, True, bfa, bfb) → EQ
new_primCmpInt(Pos(Succ(xuu3110000)), Pos(xuu600)) → new_primCmpNat0(Succ(xuu3110000), xuu600)
new_lt21(xuu94, xuu97, app(ty_[], fcf)) → new_lt12(xuu94, xuu97, fcf)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(ty_Ratio, bac)) → new_esEs25(xuu3110000, xuu6000, bac)
new_ltEs23(xuu64, xuu65, app(app(ty_Either, bfe), bff)) → new_ltEs8(xuu64, xuu65, bfe, bff)
new_esEs24(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bge, bgf) → new_asAs(new_esEs38(xuu3110000, xuu6000, bge), new_esEs39(xuu3110001, xuu6001, bgf))
new_esEs38(xuu3110000, xuu6000, ty_Float) → new_esEs20(xuu3110000, xuu6000)
new_esEs34(xuu95, xuu98, app(ty_Ratio, fee)) → new_esEs25(xuu95, xuu98, fee)
new_compare6(GT, LT) → GT
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, False, bad, bae, baf) → GT
new_lt22(xuu95, xuu98, ty_Double) → new_lt14(xuu95, xuu98)
new_lt24(xuu31100, xuu60, ty_Char) → new_lt11(xuu31100, xuu60)
new_ltEs19(xuu110, xuu112, ty_@0) → new_ltEs18(xuu110, xuu112)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, app(app(ty_Either, he), hf)) → new_esEs16(xuu3110000, xuu6000, he, hf)
new_gt(xuu22, xuu17, ty_Int) → new_gt0(xuu22, xuu17)
new_lt24(xuu31100, xuu60, ty_@0) → new_lt19(xuu31100, xuu60)
new_primCmpInt(Pos(Succ(xuu3110000)), Neg(xuu600)) → GT
new_lt23(xuu640, xuu650, app(ty_[], cbg)) → new_lt12(xuu640, xuu650, cbg)
new_ltEs24(xuu641, xuu651, ty_Ordering) → new_ltEs13(xuu641, xuu651)
new_esEs11(xuu311002, xuu602, ty_Char) → new_esEs13(xuu311002, xuu602)
new_primMulInt(Pos(xuu3110000), Pos(xuu6000)) → Pos(new_primMulNat0(xuu3110000, xuu6000))
new_esEs4(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_esEs35(xuu3110000, xuu6000, ty_Bool) → new_esEs26(xuu3110000, xuu6000)
new_ltEs21(xuu71, xuu72, ty_Ordering) → new_ltEs13(xuu71, xuu72)
new_ltEs23(xuu64, xuu65, app(app(ty_@2, bfc), bfd)) → new_ltEs7(xuu64, xuu65, bfc, bfd)
new_primPlusNat0(Zero, Zero) → Zero
new_ltEs22(xuu96, xuu99, ty_Ordering) → new_ltEs13(xuu96, xuu99)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_lt23(xuu640, xuu650, ty_Char) → new_lt11(xuu640, xuu650)
new_primPlusInt(Neg(xuu4220), Neg(xuu1290)) → Neg(new_primPlusNat0(xuu4220, xuu1290))
new_ltEs21(xuu71, xuu72, app(app(ty_@2, fae), faf)) → new_ltEs7(xuu71, xuu72, fae, faf)
new_lt6(xuu640, xuu650, app(app(ty_Either, cfc), cfd)) → new_lt9(xuu640, xuu650, cfc, cfd)
new_lt12(xuu31100, xuu60, dd) → new_esEs12(new_compare1(xuu31100, xuu60, dd))
new_ltEs8(Right(xuu640), Right(xuu650), bfe, ty_Double) → new_ltEs14(xuu640, xuu650)
new_ltEs21(xuu71, xuu72, app(app(app(ty_@3, fbc), fbd), fbe)) → new_ltEs5(xuu71, xuu72, fbc, fbd, fbe)
new_ltEs20(xuu83, xuu84, ty_Float) → new_ltEs4(xuu83, xuu84)
new_esEs7(xuu311000, xuu600, app(ty_Ratio, beh)) → new_esEs25(xuu311000, xuu600, beh)
new_compare111(xuu181, xuu182, xuu183, xuu184, xuu185, xuu186, True, bad, bae, baf) → LT
new_esEs16(Right(xuu3110000), Left(xuu6000), ha, ff) → False
new_esEs16(Left(xuu3110000), Right(xuu6000), ha, ff) → False
new_primCmpInt(Neg(Zero), Neg(Succ(xuu6000))) → new_primCmpNat0(Succ(xuu6000), Zero)
new_lt21(xuu94, xuu97, app(ty_Maybe, fcg)) → new_lt13(xuu94, xuu97, fcg)
new_esEs9(xuu311000, xuu600, app(app(app(ty_@3, eee), eef), eeg)) → new_esEs15(xuu311000, xuu600, eee, eef, eeg)
new_lt21(xuu94, xuu97, ty_Ordering) → new_lt4(xuu94, xuu97)
new_ltEs18(xuu64, xuu65) → new_fsEs(new_compare17(xuu64, xuu65))
new_ltEs21(xuu71, xuu72, app(ty_Maybe, fbb)) → new_ltEs12(xuu71, xuu72, fbb)
new_esEs27(xuu640, xuu650, app(ty_Ratio, cgb)) → new_esEs25(xuu640, xuu650, cgb)
new_esEs9(xuu311000, xuu600, ty_Double) → new_esEs23(xuu311000, xuu600)
new_lt23(xuu640, xuu650, ty_@0) → new_lt19(xuu640, xuu650)
new_lt13(xuu31100, xuu60, da) → new_esEs12(new_compare8(xuu31100, xuu60, da))
new_esEs36(xuu3110001, xuu6001, app(ty_Maybe, fhh)) → new_esEs22(xuu3110001, xuu6001, fhh)
new_esEs27(xuu640, xuu650, ty_Int) → new_esEs14(xuu640, xuu650)
new_compare7(Float(xuu311000, xuu311001), Float(xuu600, xuu601)) → new_compare10(new_sr(xuu311000, xuu600), new_sr(xuu311001, xuu601))
new_esEs28(xuu641, xuu651, app(ty_Maybe, cgh)) → new_esEs22(xuu641, xuu651, cgh)
new_esEs9(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_esEs35(xuu3110000, xuu6000, app(ty_[], fge)) → new_esEs21(xuu3110000, xuu6000, fge)
new_ltEs19(xuu110, xuu112, app(app(ty_@2, dea), deb)) → new_ltEs7(xuu110, xuu112, dea, deb)
new_esEs16(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, gh), ff) → new_esEs25(xuu3110000, xuu6000, gh)
new_esEs39(xuu3110001, xuu6001, app(app(ty_Either, cad), cae)) → new_esEs16(xuu3110001, xuu6001, cad, cae)
new_ltEs6(xuu642, xuu652, ty_Float) → new_ltEs4(xuu642, xuu652)
new_ltEs20(xuu83, xuu84, app(ty_[], eba)) → new_ltEs11(xuu83, xuu84, eba)
new_esEs16(Right(xuu3110000), Right(xuu6000), ha, ty_Int) → new_esEs14(xuu3110000, xuu6000)
new_esEs4(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_primMulNat0(Zero, Succ(xuu60000)) → Zero
new_primMulNat0(Succ(xuu31100000), Zero) → Zero
new_ltEs12(Just(xuu640), Just(xuu650), app(app(app(ty_@3, dhh), eaa), eab)) → new_ltEs5(xuu640, xuu650, dhh, eaa, eab)
new_gt(xuu22, xuu17, app(app(app(ty_@3, cb), cc), cd)) → new_esEs41(new_compare13(xuu22, xuu17, cb, cc, cd))
new_ltEs5(@3(xuu640, xuu641, xuu642), @3(xuu650, xuu651, xuu652), bga, bgb, bgc) → new_pePe(new_lt6(xuu640, xuu650, bga), new_asAs(new_esEs27(xuu640, xuu650, bga), new_pePe(new_lt7(xuu641, xuu651, bgb), new_asAs(new_esEs28(xuu641, xuu651, bgb), new_ltEs6(xuu642, xuu652, bgc)))))
new_mkBalBranch6MkBalBranch5(xuu17, xuu18, xuu21, xuu42, False, bb, bc) → new_mkBalBranch6MkBalBranch4(xuu17, xuu18, xuu21, xuu42, new_gt0(new_mkBalBranch6Size_r(xuu17, xuu18, xuu21, xuu42, bb, bc), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_l(xuu17, xuu18, xuu21, xuu42, bb, bc))), bb, bc)
new_ltEs22(xuu96, xuu99, ty_@0) → new_ltEs18(xuu96, xuu99)
new_ltEs8(Right(xuu640), Left(xuu650), bfe, bff) → False
new_esEs30(xuu109, xuu111, app(ty_[], ddc)) → new_esEs21(xuu109, xuu111, ddc)
new_lt22(xuu95, xuu98, ty_Bool) → new_lt17(xuu95, xuu98)
new_lt24(xuu31100, xuu60, app(ty_Ratio, bag)) → new_lt16(xuu31100, xuu60, bag)
new_esEs40(xuu640, xuu650, ty_Float) → new_esEs20(xuu640, xuu650)
new_esEs16(Left(xuu3110000), Left(xuu6000), ty_Double, ff) → new_esEs23(xuu3110000, xuu6000)
new_ltEs8(Right(xuu640), Right(xuu650), bfe, app(app(app(ty_@3, eea), eeb), eec)) → new_ltEs5(xuu640, xuu650, eea, eeb, eec)
new_lt6(xuu640, xuu650, ty_Float) → new_lt5(xuu640, xuu650)
new_compare18(xuu154, xuu155, True, de) → LT
new_mkBalBranch6MkBalBranch01(xuu17, xuu18, xuu210, xuu211, xuu212, EmptyFM, xuu214, xuu42, False, bb, bc) → error([])
new_esEs6(xuu311000, xuu600, app(app(app(ty_@3, bce), bcf), bcg)) → new_esEs15(xuu311000, xuu600, bce, bcf, bcg)
new_esEs10(xuu311001, xuu601, ty_Ordering) → new_esEs17(xuu311001, xuu601)
new_esEs36(xuu3110001, xuu6001, ty_Char) → new_esEs13(xuu3110001, xuu6001)
new_esEs33(xuu94, xuu97, ty_Double) → new_esEs23(xuu94, xuu97)
new_ltEs12(Just(xuu640), Just(xuu650), ty_Ordering) → new_ltEs13(xuu640, xuu650)
new_esEs4(xuu311000, xuu600, app(ty_Maybe, bah)) → new_esEs22(xuu311000, xuu600, bah)
new_esEs39(xuu3110001, xuu6001, ty_Bool) → new_esEs26(xuu3110001, xuu6001)
new_primMinusNat0(Zero, Succ(xuu12900)) → Neg(Succ(xuu12900))
new_esEs39(xuu3110001, xuu6001, ty_Ordering) → new_esEs17(xuu3110001, xuu6001)
new_esEs14(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_esEs41(LT) → False
new_ltEs19(xuu110, xuu112, app(app(app(ty_@3, deg), deh), dfa)) → new_ltEs5(xuu110, xuu112, deg, deh, dfa)
new_esEs29(xuu3110000, xuu6000, ty_Double) → new_esEs23(xuu3110000, xuu6000)
new_lt6(xuu640, xuu650, app(ty_[], cfe)) → new_lt12(xuu640, xuu650, cfe)
new_compare12(Right(xuu311000), Left(xuu600), cf, cg) → GT
new_compare10(xuu31100, xuu60) → new_primCmpInt(xuu31100, xuu60)
new_gt(xuu22, xuu17, app(ty_Maybe, ca)) → new_esEs41(new_compare8(xuu22, xuu17, ca))
new_esEs27(xuu640, xuu650, app(ty_Maybe, cff)) → new_esEs22(xuu640, xuu650, cff)
new_esEs37(xuu3110002, xuu6002, ty_Ordering) → new_esEs17(xuu3110002, xuu6002)
new_esEs33(xuu94, xuu97, app(ty_Maybe, fcg)) → new_esEs22(xuu94, xuu97, fcg)
new_compare6(EQ, GT) → LT
new_esEs27(xuu640, xuu650, ty_Ordering) → new_esEs17(xuu640, xuu650)
new_esEs9(xuu311000, xuu600, ty_Int) → new_esEs14(xuu311000, xuu600)
new_esEs9(xuu311000, xuu600, ty_@0) → new_esEs19(xuu311000, xuu600)
new_esEs13(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs29(xuu3110000, xuu6000, ty_Ordering) → new_esEs17(xuu3110000, xuu6000)
new_ltEs23(xuu64, xuu65, app(ty_[], bfg)) → new_ltEs11(xuu64, xuu65, bfg)
new_lt21(xuu94, xuu97, app(app(app(ty_@3, fch), fda), fdb)) → new_lt15(xuu94, xuu97, fch, fda, fdb)
new_mkBalBranch6MkBalBranch11(xuu17, xuu18, xuu21, xuu420, xuu421, xuu422, xuu423, EmptyFM, False, bb, bc) → error([])
new_lt23(xuu640, xuu650, app(app(app(ty_@3, cca), ccb), ccc)) → new_lt15(xuu640, xuu650, cca, ccb, ccc)
new_esEs10(xuu311001, xuu601, ty_Float) → new_esEs20(xuu311001, xuu601)
new_primMulNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primPlusNat0(new_primMulNat0(xuu31100000, Succ(xuu60000)), Succ(xuu60000))
new_esEs22(Nothing, Nothing, bah) → True
new_esEs34(xuu95, xuu98, ty_Char) → new_esEs13(xuu95, xuu98)
new_primPlusNat0(Succ(xuu42200), Succ(xuu12900)) → Succ(Succ(new_primPlusNat0(xuu42200, xuu12900)))
new_lt7(xuu641, xuu651, ty_Char) → new_lt11(xuu641, xuu651)
new_compare30(xuu311000, xuu600, app(app(app(ty_@3, fa), fb), fc)) → new_compare13(xuu311000, xuu600, fa, fb, fc)
new_ltEs20(xuu83, xuu84, app(app(ty_Either, eag), eah)) → new_ltEs8(xuu83, xuu84, eag, eah)
new_esEs17(GT, GT) → True
new_esEs6(xuu311000, xuu600, app(ty_[], bdb)) → new_esEs21(xuu311000, xuu600, bdb)
new_esEs40(xuu640, xuu650, ty_Integer) → new_esEs18(xuu640, xuu650)
new_esEs33(xuu94, xuu97, app(app(app(ty_@3, fch), fda), fdb)) → new_esEs15(xuu94, xuu97, fch, fda, fdb)
new_esEs5(xuu311001, xuu601, ty_Bool) → new_esEs26(xuu311001, xuu601)
new_esEs27(xuu640, xuu650, app(app(app(ty_@3, cfg), cfh), cga)) → new_esEs15(xuu640, xuu650, cfg, cfh, cga)
new_esEs22(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, bbd), bbe)) → new_esEs16(xuu3110000, xuu6000, bbd, bbe)
new_lt21(xuu94, xuu97, ty_Integer) → new_lt18(xuu94, xuu97)
new_esEs30(xuu109, xuu111, app(app(app(ty_@3, dde), ddf), ddg)) → new_esEs15(xuu109, xuu111, dde, ddf, ddg)
new_esEs20(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs14(new_sr(xuu3110000, xuu6000), new_sr(xuu3110001, xuu6001))
new_esEs5(xuu311001, xuu601, ty_Char) → new_esEs13(xuu311001, xuu601)
new_compare6(GT, EQ) → GT
new_esEs22(Just(xuu3110000), Just(xuu6000), app(ty_[], bbf)) → new_esEs21(xuu3110000, xuu6000, bbf)
new_primCompAux00(xuu77, GT) → GT
new_compare30(xuu311000, xuu600, ty_Double) → new_compare29(xuu311000, xuu600)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs10(xuu311001, xuu601, ty_Integer) → new_esEs18(xuu311001, xuu601)
new_esEs4(xuu311000, xuu600, ty_Ordering) → new_esEs17(xuu311000, xuu600)
new_ltEs23(xuu64, xuu65, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs5(xuu64, xuu65, bga, bgb, bgc)
new_esEs36(xuu3110001, xuu6001, ty_Int) → new_esEs14(xuu3110001, xuu6001)
new_lt6(xuu640, xuu650, app(ty_Maybe, cff)) → new_lt13(xuu640, xuu650, cff)
new_lt15(xuu31100, xuu60, dag, dah, dba) → new_esEs12(new_compare13(xuu31100, xuu60, dag, dah, dba))
new_ltEs6(xuu642, xuu652, app(ty_Maybe, dab)) → new_ltEs12(xuu642, xuu652, dab)
new_esEs34(xuu95, xuu98, app(app(ty_@2, fdd), fde)) → new_esEs24(xuu95, xuu98, fdd, fde)
new_compare30(xuu311000, xuu600, ty_Ordering) → new_compare6(xuu311000, xuu600)
new_primCmpInt(Neg(Succ(xuu3110000)), Pos(xuu600)) → LT
new_esEs9(xuu311000, xuu600, app(ty_Maybe, efc)) → new_esEs22(xuu311000, xuu600, efc)
new_compare13(@3(xuu311000, xuu311001, xuu311002), @3(xuu600, xuu601, xuu602), dag, dah, dba) → new_compare27(xuu311000, xuu311001, xuu311002, xuu600, xuu601, xuu602, new_asAs(new_esEs9(xuu311000, xuu600, dag), new_asAs(new_esEs10(xuu311001, xuu601, dah), new_esEs11(xuu311002, xuu602, dba))), dag, dah, dba)
new_lt7(xuu641, xuu651, ty_Float) → new_lt5(xuu641, xuu651)

The set Q consists of the following terms:

new_lt7(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Ordering)
new_esEs17(GT, LT)
new_esEs17(LT, GT)
new_lt22(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Int)
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(True, True)
new_esEs35(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs6(x0, x1, ty_Float)
new_esEs6(x0, x1, ty_Integer)
new_esEs37(x0, x1, app(ty_Ratio, x2))
new_primEqNat0(Zero, Succ(x0))
new_primMinusNat0(Zero, Zero)
new_lt7(x0, x1, app(app(ty_Either, x2), x3))
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs34(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, ty_Double)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs36(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(x0, x1, ty_@0)
new_compare8(Nothing, Just(x0), x1)
new_ltEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Bool)
new_lt7(x0, x1, ty_Double)
new_lt24(x0, x1, ty_Int)
new_compare110(x0, x1, x2, x3, x4, x5, True, x6, x7, x8, x9)
new_ltEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Integer)
new_esEs6(x0, x1, app(ty_Ratio, x2))
new_compare26(Char(x0), Char(x1))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_[], x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs24(x0, x1, ty_@0)
new_ltEs6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs33(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(Just(x0), Just(x1), ty_@0)
new_esEs36(x0, x1, ty_@0)
new_esEs16(Left(x0), Left(x1), ty_@0, x2)
new_ltEs19(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Ordering)
new_compare15(x0, x1, x2, x3, False, x4, x5, x6)
new_ltEs8(Right(x0), Right(x1), x2, ty_Int)
new_mkBranch0(x0, x1, x2, x3, x4, x5, x6)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_lt12(x0, x1, x2)
new_ltEs21(x0, x1, ty_Char)
new_esEs16(Right(x0), Right(x1), x2, ty_Char)
new_ltEs21(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(EQ, LT)
new_compare6(LT, EQ)
new_ltEs20(x0, x1, ty_@0)
new_ltEs12(Nothing, Just(x0), x1)
new_gt(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs6(x0, x1, app(ty_[], x2))
new_gt(x0, x1, ty_@0)
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, ty_Char)
new_compare17(@0, @0)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Float)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs8(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_lt21(x0, x1, ty_@0)
new_ltEs24(x0, x1, app(ty_Ratio, x2))
new_esEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, ty_Int)
new_compare30(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Float)
new_mkBranch(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10)
new_compare13(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs38(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, app(ty_Ratio, x2))
new_gt(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Ordering)
new_lt20(x0, x1, ty_@0)
new_esEs27(x0, x1, ty_Ordering)
new_lt7(x0, x1, ty_Int)
new_ltEs4(x0, x1)
new_lt13(x0, x1, x2)
new_lt24(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Bool)
new_compare111(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_ltEs6(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs38(x0, x1, ty_Int)
new_compare1([], [], x0)
new_compare1(:(x0, x1), [], x2)
new_primEqNat0(Zero, Zero)
new_esEs22(Just(x0), Just(x1), ty_Char)
new_esEs35(x0, x1, ty_Bool)
new_esEs40(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs12(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Left(x0), Right(x1), x2, x3)
new_esEs16(Right(x0), Left(x1), x2, x3)
new_esEs39(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(EQ, EQ)
new_esEs7(x0, x1, ty_Float)
new_esEs34(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(ty_[], x2))
new_lt22(x0, x1, ty_Float)
new_esEs35(x0, x1, ty_Integer)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, False, x4, x5)
new_primMulNat0(Zero, Zero)
new_ltEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs12(LT)
new_mkBalBranch6MkBalBranch4(x0, x1, EmptyFM, x2, True, x3, x4)
new_ltEs17(x0, x1)
new_esEs36(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Zero)
new_esEs35(x0, x1, app(ty_Ratio, x2))
new_esEs26(True, False)
new_esEs26(False, True)
new_esEs29(x0, x1, ty_Integer)
new_compare12(Left(x0), Left(x1), x2, x3)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs35(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(ty_Ratio, x2))
new_compare8(Just(x0), Nothing, x1)
new_lt6(x0, x1, ty_Ordering)
new_esEs35(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs35(x0, x1, app(ty_[], x2))
new_esEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_@0)
new_esEs7(x0, x1, app(ty_Maybe, x2))
new_ltEs13(EQ, LT)
new_ltEs13(LT, EQ)
new_esEs27(x0, x1, ty_Integer)
new_lt23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt8(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs12(Just(x0), Just(x1), ty_Int)
new_compare14(False, True)
new_compare14(True, False)
new_esEs33(x0, x1, ty_Ordering)
new_compare25(x0, x1, x2, x3, True, x4, x5)
new_esEs14(x0, x1)
new_esEs34(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Double)
new_gt(x0, x1, ty_Bool)
new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs38(x0, x1, ty_Ordering)
new_compare28(x0, x1, True, x2, x3)
new_esEs34(x0, x1, app(ty_[], x2))
new_ltEs8(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, ty_Integer)
new_ltEs8(Right(x0), Right(x1), x2, ty_@0)
new_compare27(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_ltEs23(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_Int)
new_esEs21([], [], x0)
new_esEs31(x0, x1, ty_Int)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs40(x0, x1, ty_Bool)
new_ltEs12(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_Char)
new_ltEs23(x0, x1, ty_Float)
new_lt21(x0, x1, ty_Char)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs8(Left(x0), Left(x1), ty_Ordering, x2)
new_lt15(x0, x1, x2, x3, x4)
new_esEs36(x0, x1, app(app(ty_@2, x2), x3))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, EmptyFM, x5, x6, False, x7, x8)
new_ltEs6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs37(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_lt18(x0, x1)
new_primMulNat0(Succ(x0), Zero)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Integer)
new_esEs34(x0, x1, ty_Int)
new_esEs4(x0, x1, ty_Integer)
new_esEs6(x0, x1, ty_@0)
new_compare30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(x0, x1, ty_Float)
new_compare30(x0, x1, ty_Bool)
new_esEs7(x0, x1, ty_Ordering)
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs40(x0, x1, ty_Float)
new_esEs39(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs22(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Bool)
new_esEs31(x0, x1, ty_Integer)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(Just(x0), Just(x1), ty_Integer)
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Float)
new_ltEs6(x0, x1, ty_Double)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_esEs22(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs35(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, ty_Ordering)
new_sr(x0, x1)
new_esEs13(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs23(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_compare30(x0, x1, ty_Ordering)
new_asAs(False, x0)
new_ltEs6(x0, x1, ty_Bool)
new_lt20(x0, x1, ty_Float)
new_ltEs8(Left(x0), Left(x1), ty_@0, x2)
new_ltEs13(GT, EQ)
new_ltEs13(EQ, GT)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9)
new_esEs22(Just(x0), Just(x1), ty_Float)
new_ltEs23(x0, x1, ty_Double)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs33(x0, x1, app(ty_[], x2))
new_esEs35(x0, x1, ty_Int)
new_lt23(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Bool)
new_esEs10(x0, x1, ty_Int)
new_esEs6(x0, x1, ty_Int)
new_esEs4(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, ty_Float)
new_ltEs8(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt16(x0, x1, x2)
new_esEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs28(x0, x1, ty_Bool)
new_esEs22(Just(x0), Nothing, x1)
new_esEs4(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs22(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0)
new_esEs33(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_esEs35(x0, x1, ty_Ordering)
new_esEs27(x0, x1, ty_Float)
new_compare28(x0, x1, False, x2, x3)
new_ltEs12(Just(x0), Just(x1), ty_@0)
new_esEs5(x0, x1, app(ty_[], x2))
new_esEs37(x0, x1, app(ty_Maybe, x2))
new_esEs5(x0, x1, app(ty_Maybe, x2))
new_ltEs24(x0, x1, ty_Bool)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_addToFM_C20(x0, x1, x2, x3, x4, x5, x6, False, x7, x8)
new_esEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_mkBalBranch6MkBalBranch4(x0, x1, Branch(x2, x3, x4, x5, x6), x7, True, x8, x9)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs23(x0, x1, ty_@0)
new_ltEs19(x0, x1, ty_@0)
new_esEs22(Just(x0), Just(x1), ty_Int)
new_esEs27(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(ty_[], x2))
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, True, x4, x5)
new_esEs9(x0, x1, app(ty_[], x2))
new_compare8(Just(x0), Just(x1), x2)
new_primCmpNat0(Zero, Succ(x0))
new_primPlusNat0(Succ(x0), Succ(x1))
new_esEs25(:%(x0, x1), :%(x2, x3), x4)
new_compare19(x0, x1, x2, x3, True, x4, x5)
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Integer)
new_esEs35(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Left(x0), Left(x1), ty_Integer, x2)
new_lt7(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_Char)
new_esEs18(Integer(x0), Integer(x1))
new_esEs39(x0, x1, ty_Int)
new_ltEs12(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs23(x0, x1, app(ty_Ratio, x2))
new_lt23(x0, x1, ty_Float)
new_ltEs8(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs16(False, True)
new_ltEs16(True, False)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare113(x0, x1, False, x2, x3)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(Just(x0), Just(x1), ty_Bool)
new_lt24(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Double)
new_ltEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs9(x0, x1)
new_esEs36(x0, x1, ty_Char)
new_esEs39(x0, x1, ty_Float)
new_primEqNat0(Succ(x0), Zero)
new_ltEs24(x0, x1, ty_Integer)
new_esEs10(x0, x1, ty_Double)
new_esEs37(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_Char)
new_esEs33(x0, x1, ty_Int)
new_esEs34(x0, x1, ty_Float)
new_esEs16(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs33(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_@0)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9)
new_esEs38(x0, x1, ty_Bool)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_esEs35(x0, x1, ty_@0)
new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare30(x0, x1, app(ty_Ratio, x2))
new_esEs7(x0, x1, app(app(ty_@2, x2), x3))
new_esEs38(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, app(ty_[], x2))
new_esEs11(x0, x1, ty_Double)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(Double(x0, x1), Double(x2, x3))
new_esEs34(x0, x1, ty_Bool)
new_ltEs13(GT, GT)
new_ltEs24(x0, x1, app(ty_Maybe, x2))
new_esEs39(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_Maybe, x2))
new_esEs34(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Ordering)
new_esEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs40(x0, x1, app(ty_[], x2))
new_esEs5(x0, x1, ty_Int)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5)
new_esEs37(x0, x1, ty_Bool)
new_ltEs24(x0, x1, ty_Char)
new_esEs4(x0, x1, ty_Bool)
new_mkBalBranch6MkBalBranch4(x0, x1, x2, x3, False, x4, x5)
new_lt6(x0, x1, ty_Float)
new_not(True)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, x3, False, x4, x5)
new_ltEs12(Just(x0), Just(x1), ty_Integer)
new_esEs39(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt23(x0, x1, ty_Char)
new_esEs7(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_lt7(x0, x1, ty_Ordering)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), x10, x11, False, x12, x13)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_not(False)
new_lt4(x0, x1)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_esEs33(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, ty_Float)
new_lt24(x0, x1, ty_Char)
new_compare25(x0, x1, x2, x3, False, x4, x5)
new_esEs12(EQ)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs6(x0, x1, app(ty_[], x2))
new_asAs(True, x0)
new_compare30(x0, x1, app(ty_Maybe, x2))
new_esEs33(x0, x1, ty_Integer)
new_ltEs12(Just(x0), Just(x1), ty_Char)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_compare14(False, False)
new_esEs8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs23(x0, x1, ty_Ordering)
new_ltEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Left(x0), Left(x1), ty_Char, x2)
new_lt21(x0, x1, ty_Double)
new_ltEs24(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, ty_Int)
new_primPlusInt(Pos(x0), Neg(x1))
new_primPlusInt(Neg(x0), Pos(x1))
new_esEs36(x0, x1, app(ty_Ratio, x2))
new_compare30(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Float)
new_esEs33(x0, x1, ty_@0)
new_esEs38(x0, x1, app(app(ty_Either, x2), x3))
new_lt21(x0, x1, ty_Ordering)
new_esEs16(Left(x0), Left(x1), ty_Int, x2)
new_primPlusInt(Neg(x0), Neg(x1))
new_esEs27(x0, x1, ty_@0)
new_lt20(x0, x1, ty_Ordering)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8)
new_esEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs40(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs11(x0, x1, ty_Bool)
new_lt23(x0, x1, ty_Ordering)
new_ltEs23(x0, x1, ty_Integer)
new_esEs4(x0, x1, ty_Double)
new_esEs40(x0, x1, app(ty_Maybe, x2))
new_esEs12(GT)
new_lt7(x0, x1, ty_Float)
new_compare12(Right(x0), Left(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_compare12(Left(x0), Right(x1), x2, x3)
new_lt20(x0, x1, ty_Double)
new_esEs26(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_lt22(x0, x1, app(ty_[], x2))
new_compare6(GT, EQ)
new_compare6(EQ, GT)
new_ltEs22(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_Bool)
new_esEs20(Float(x0, x1), Float(x2, x3))
new_esEs8(x0, x1, ty_Bool)
new_esEs16(Left(x0), Left(x1), ty_Float, x2)
new_esEs19(@0, @0)
new_mkBalBranch(x0, x1, x2, x3, x4, x5)
new_esEs37(x0, x1, app(app(ty_Either, x2), x3))
new_esEs34(x0, x1, ty_Char)
new_esEs17(LT, EQ)
new_esEs17(EQ, LT)
new_esEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(:(x0, x1), :(x2, x3), x4)
new_lt21(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Char)
new_esEs6(x0, x1, ty_Ordering)
new_compare30(x0, x1, ty_Int)
new_compare1([], :(x0, x1), x2)
new_compare16(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt21(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, app(ty_Ratio, x2))
new_esEs5(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Left(x0), Left(x1), ty_Float, x2)
new_esEs7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1)
new_esEs29(x0, x1, ty_Ordering)
new_lt22(x0, x1, ty_Int)
new_esEs36(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, ty_Integer)
new_esEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs39(x0, x1, app(ty_Ratio, x2))
new_gt(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(x0, x1, app(ty_[], x2))
new_compare24(x0, x1, False, x2)
new_esEs5(x0, x1, ty_Char)
new_esEs37(x0, x1, ty_Double)
new_esEs11(x0, x1, ty_Char)
new_esEs17(LT, LT)
new_compare12(Right(x0), Right(x1), x2, x3)
new_ltEs8(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(@2(x0, x1), @2(x2, x3), x4, x5)
new_lt24(x0, x1, ty_Double)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_primCompAux00(x0, LT)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs37(x0, x1, app(app(ty_@2, x2), x3))
new_compare10(x0, x1)
new_ltEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs6(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Float)
new_esEs21([], :(x0, x1), x2)
new_esEs36(x0, x1, ty_Ordering)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5)
new_esEs37(x0, x1, app(ty_[], x2))
new_lt7(x0, x1, ty_@0)
new_ltEs12(Nothing, Nothing, x0)
new_esEs22(Nothing, Just(x0), x1)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, x2, x3, x4, x5, True, x6, x7, x8)
new_esEs8(x0, x1, ty_Char)
new_compare14(True, True)
new_esEs28(x0, x1, ty_Integer)
new_esEs17(GT, EQ)
new_esEs17(EQ, GT)
new_esEs7(x0, x1, ty_@0)
new_esEs5(x0, x1, ty_Float)
new_ltEs19(x0, x1, ty_Bool)
new_compare27(x0, x1, x2, x3, x4, x5, False, x6, x7, x8)
new_lt24(x0, x1, ty_Float)
new_esEs7(x0, x1, app(ty_Ratio, x2))
new_lt24(x0, x1, ty_Integer)
new_esEs5(x0, x1, ty_Bool)
new_ltEs6(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Double)
new_esEs6(x0, x1, ty_Double)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_compare30(x0, x1, ty_Integer)
new_compare29(Double(x0, x1), Double(x2, x3))
new_esEs22(Just(x0), Just(x1), ty_Ordering)
new_primPlusNat0(Zero, Succ(x0))
new_lt20(x0, x1, ty_Bool)
new_esEs27(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, ty_Integer)
new_ltEs22(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Char)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs22(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Ordering)
new_ltEs8(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs17(GT, GT)
new_addToFM_C0(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8)
new_compare15(x0, x1, x2, x3, True, x4, x5, x6)
new_ltEs22(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(x0, x1, ty_Ordering)
new_esEs33(x0, x1, ty_Bool)
new_esEs37(x0, x1, ty_Integer)
new_esEs28(x0, x1, ty_Ordering)
new_esEs6(x0, x1, ty_Bool)
new_ltEs6(x0, x1, ty_@0)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs39(x0, x1, ty_Double)
new_ltEs19(x0, x1, ty_Int)
new_primMulInt(Neg(x0), Neg(x1))
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13)
new_lt24(x0, x1, app(ty_Ratio, x2))
new_pePe(False, x0)
new_esEs39(x0, x1, ty_Char)
new_lt24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt23(x0, x1, app(ty_Maybe, x2))
new_ltEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt21(x0, x1, ty_Float)
new_ltEs24(x0, x1, ty_Int)
new_esEs16(Right(x0), Right(x1), x2, ty_Int)
new_compare24(x0, x1, True, x2)
new_esEs16(Right(x0), Right(x1), x2, ty_Bool)
new_lt7(x0, x1, ty_Char)
new_esEs40(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_primPlusNat0(Succ(x0), Zero)
new_esEs38(x0, x1, ty_Char)
new_esEs36(x0, x1, app(ty_[], x2))
new_lt21(x0, x1, ty_Bool)
new_esEs33(x0, x1, ty_Float)
new_esEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_lt9(x0, x1, x2, x3)
new_lt23(x0, x1, app(ty_[], x2))
new_esEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs23(x0, x1, ty_Char)
new_ltEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt22(x0, x1, ty_Char)
new_gt0(x0, x1)
new_esEs21(:(x0, x1), [], x2)
new_esEs38(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_Ordering)
new_esEs11(x0, x1, ty_Integer)
new_gt(x0, x1, app(ty_[], x2))
new_sIZE_RATIO
new_ltEs8(Right(x0), Right(x1), x2, ty_Float)
new_lt24(x0, x1, app(ty_Maybe, x2))
new_lt21(x0, x1, app(ty_Maybe, x2))
new_lt23(x0, x1, ty_Integer)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs7(x0, x1, ty_Double)
new_esEs27(x0, x1, ty_Int)
new_lt23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_compare18(x0, x1, False, x2)
new_esEs36(x0, x1, ty_Integer)
new_compare1(:(x0, x1), :(x2, x3), x4)
new_gt(x0, x1, ty_Char)
new_esEs5(x0, x1, ty_Double)
new_primMinusNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs22(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt7(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_compare19(x0, x1, x2, x3, False, x4, x5)
new_esEs22(Nothing, Nothing, x0)
new_compare18(x0, x1, True, x2)
new_lt7(x0, x1, ty_Integer)
new_esEs33(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare6(EQ, EQ)
new_esEs22(Just(x0), Just(x1), ty_Double)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs8(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs41(GT)
new_gt(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Int)
new_esEs8(x0, x1, ty_Integer)
new_compare6(LT, GT)
new_compare6(GT, LT)
new_compare7(Float(x0, x1), Float(x2, x3))
new_esEs40(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, ty_Bool)
new_emptyFM(x0, x1)
new_lt22(x0, x1, ty_Integer)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Integer)
new_esEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(LT, LT)
new_gt(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Char)
new_esEs8(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_compare110(x0, x1, x2, x3, x4, x5, False, x6, x7, x8, x9)
new_esEs11(x0, x1, ty_@0)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C0(EmptyFM, x0, x1, x2, x3)
new_ltEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, False, x2, x3)
new_esEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs8(x0, x1, ty_Int)
new_primPlusNat0(Zero, Zero)
new_esEs36(x0, x1, ty_Int)
new_ltEs12(Just(x0), Just(x1), app(ty_[], x2))
new_lt11(x0, x1)
new_esEs38(x0, x1, ty_Double)
new_lt21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs40(x0, x1, ty_Char)
new_primCompAux00(x0, GT)
new_compare112(x0, x1, False, x2, x3)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs34(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs41(EQ)
new_esEs40(x0, x1, ty_Double)
new_lt6(x0, x1, ty_Double)
new_ltEs8(Left(x0), Right(x1), x2, x3)
new_ltEs8(Right(x0), Left(x1), x2, x3)
new_lt24(x0, x1, ty_@0)
new_compare30(x0, x1, app(ty_[], x2))
new_ltEs22(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_ltEs24(x0, x1, ty_Float)
new_compare11(Integer(x0), Integer(x1))
new_mkBranchResult(x0, x1, x2, x3, x4, x5)
new_esEs8(x0, x1, ty_Double)
new_ltEs15(x0, x1, x2)
new_esEs37(x0, x1, ty_Float)
new_esEs36(x0, x1, ty_Float)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_esEs26(True, True)
new_lt7(x0, x1, app(ty_Maybe, x2))
new_esEs22(Just(x0), Just(x1), app(ty_[], x2))
new_lt14(x0, x1)
new_esEs37(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs27(x0, x1, ty_Bool)
new_esEs35(x0, x1, ty_Char)
new_lt7(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs33(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_esEs30(x0, x1, ty_Bool)
new_esEs8(x0, x1, app(ty_[], x2))
new_ltEs14(x0, x1)
new_esEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs39(x0, x1, ty_@0)
new_ltEs13(LT, GT)
new_ltEs13(GT, LT)
new_lt23(x0, x1, app(ty_Ratio, x2))
new_esEs16(Right(x0), Right(x1), x2, ty_@0)
new_esEs33(x0, x1, app(ty_Ratio, x2))
new_ltEs23(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C10(x0, x1, x2, x3, x4, x5, x6, False, x7, x8)
new_lt24(x0, x1, ty_Ordering)
new_esEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare30(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_@0)
new_esEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs8(Right(x0), Right(x1), x2, ty_Bool)
new_esEs38(x0, x1, app(ty_[], x2))
new_esEs39(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, ty_Integer)
new_esEs7(x0, x1, ty_Int)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_lt23(x0, x1, ty_@0)
new_ltEs8(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Bool)
new_ltEs12(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs22(Just(x0), Just(x1), ty_Bool)
new_lt22(x0, x1, ty_Double)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_ltEs12(Just(x0), Just(x1), ty_Double)
new_lt21(x0, x1, ty_Int)
new_lt22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Double)
new_compare30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs8(x0, x1, ty_Ordering)
new_primMinusNat0(Succ(x0), Zero)
new_lt21(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_compare210(x0, x1, True, x2, x3)
new_ltEs8(Left(x0), Left(x1), ty_Char, x2)
new_esEs9(x0, x1, ty_Bool)
new_lt19(x0, x1)
new_ltEs23(x0, x1, app(ty_Maybe, x2))
new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Zero, Zero)
new_lt22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs38(x0, x1, ty_@0)
new_compare113(x0, x1, True, x2, x3)
new_ltEs6(x0, x1, ty_Integer)
new_esEs37(x0, x1, ty_@0)
new_ltEs13(LT, LT)
new_gt(x0, x1, ty_Ordering)
new_esEs28(x0, x1, ty_Int)
new_addToFM_C20(x0, x1, x2, x3, x4, x5, x6, True, x7, x8)
new_ltEs19(x0, x1, ty_Double)
new_esEs40(x0, x1, ty_@0)
new_esEs10(x0, x1, ty_@0)
new_esEs40(x0, x1, ty_Int)
new_esEs6(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs16(Left(x0), Left(x1), ty_Integer, x2)
new_esEs4(x0, x1, ty_Char)
new_ltEs22(x0, x1, ty_Integer)
new_lt10(x0, x1)
new_ltEs19(x0, x1, ty_Char)
new_primMinusNat0(Zero, Succ(x0))
new_esEs34(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Float)
new_lt23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Int)
new_esEs28(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Double)
new_gt(x0, x1, ty_Int)
new_esEs7(x0, x1, ty_Char)
new_compare30(x0, x1, ty_@0)
new_ltEs22(x0, x1, ty_Float)
new_esEs41(LT)
new_ltEs21(x0, x1, ty_Float)
new_esEs34(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Left(x0), Left(x1), ty_Int, x2)
new_esEs10(x0, x1, ty_Float)
new_lt6(x0, x1, app(ty_[], x2))
new_esEs34(x0, x1, ty_Ordering)
new_esEs39(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, ty_Char)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, EmptyFM, True, x3, x4)
new_esEs8(x0, x1, ty_@0)
new_esEs27(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs15(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_lt6(x0, x1, ty_@0)
new_addToFM_C10(x0, x1, x2, x3, x4, x5, x6, True, x7, x8)
new_gt(x0, x1, ty_Float)
new_ltEs12(Just(x0), Just(x1), ty_Ordering)
new_esEs39(x0, x1, ty_Integer)
new_sr0(Integer(x0), Integer(x1))
new_ltEs6(x0, x1, app(ty_Ratio, x2))
new_esEs36(x0, x1, app(ty_Maybe, x2))
new_gt(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primPlusInt(Pos(x0), Pos(x1))
new_esEs34(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs10(x0, x1)
new_esEs29(x0, x1, ty_Double)
new_compare6(GT, GT)
new_ltEs8(Left(x0), Left(x1), ty_Double, x2)
new_esEs10(x0, x1, ty_Integer)
new_esEs22(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_compare112(x0, x1, True, x2, x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_primCompAux0(x0, x1, x2, x3)
new_esEs27(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, EQ)
new_ltEs6(x0, x1, ty_Int)
new_lt7(x0, x1, app(app(ty_@2, x2), x3))
new_fsEs(x0)
new_esEs5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt17(x0, x1)
new_esEs38(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt22(x0, x1, ty_@0)
new_esEs7(x0, x1, app(app(ty_Either, x2), x3))
new_lt22(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs6(x0, x1, ty_Ordering)
new_ltEs8(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs40(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_@0)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_esEs40(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Ordering)
new_esEs5(x0, x1, ty_Integer)
new_ltEs12(Just(x0), Nothing, x1)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare30(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(Nothing, Nothing, x0)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Float)
new_ltEs11(x0, x1, x2)
new_esEs17(EQ, EQ)
new_esEs22(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_lt5(x0, x1)
new_lt24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs28(x0, x1, ty_Char)
new_ltEs16(False, False)
new_ltEs12(Just(x0), Just(x1), ty_Float)
new_esEs38(x0, x1, app(ty_Ratio, x2))
new_gt(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_@0)
new_addListToFM_CAdd(x0, @2(x1, x2), x3, x4)
new_lt23(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
By using the subterm criterion [20] together with the size-change analysis [32] we have proven that there are no infinite chains for this DP problem.

From the DPs we obtained the following set of size-change graphs: