YES 15.793000000000001 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, Ord b) => [(Either a b,c)]  ->  FiniteMap (Either a b) c) :: (Ord b, Ord a) => [(Either a b,c)]  ->  FiniteMap (Either a b) c)

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 a => FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
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,elt) = addToFM_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_r) new_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 b a  ->  (b,a)
findMax (Branch key elt _ _ EmptyFM) = (key,elt)
findMax (Branch key elt _ _ fm_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
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 :: (c  ->  b  ->  a  ->  a)  ->  a  ->  FiniteMap c b  ->  a
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM 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_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 _ 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_rr) = mkBranch 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_lr) fm_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 = 
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 :: a  ->  b  ->  FiniteMap a b
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
\oldnew→new

is transformed to
addListToFM0 old new = new



↳ HASKELL
  ↳ LR
    ↳ HASKELL
      ↳ CR

mainModule FiniteMap
  ((listToFM :: (Ord b, Ord c) => [(Either c b,a)]  ->  FiniteMap (Either c b) a) :: (Ord b, Ord c) => [(Either c b,a)]  ->  FiniteMap (Either c 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,elt) = addToFM_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_r) new_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_r) = findMax fm_r

  findMin :: FiniteMap a b  ->  (a,b)
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 :: (a  ->  c  ->  b  ->  b)  ->  b  ->  FiniteMap a c  ->  b
foldFM k z EmptyFM = z
foldFM k z (Branch key elt _ fm_l fm_r) = foldFM 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_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 _ 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_rr) = mkBranch 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_lr) fm_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 :: a  ->  b  ->  FiniteMap a b
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, Ord c) => [(Either b c,a)]  ->  FiniteMap (Either b c) a) :: (Ord c, Ord b) => [(Either b c,a)]  ->  FiniteMap (Either b c) 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 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,elt) = addToFM_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_r) new_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_r) = findMax fm_r

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

  listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b
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_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 _ 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_rr) = mkBranch 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_lr) fm_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 :: b  ->  a  ->  FiniteMap b a
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 a, Ord b) => [(Either b a,c)]  ->  FiniteMap (Either b a) c) :: (Ord a, Ord b) => [(Either b a,c)]  ->  FiniteMap (Either b a) c)

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,elt) = addToFM_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_r) new_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_r) = findMax fm_r

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

  listToFM :: Ord a => [(a,b)]  ->  FiniteMap a b
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_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 _ 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_rr) = mkBranch 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_lr) fm_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 c, Ord a) => [(Either c a,b)]  ->  FiniteMap (Either c a) b) :: (Ord c, Ord a) => [(Either c a,b)]  ->  FiniteMap (Either c 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 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,elt) = addToFM_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_r) new_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 b a  ->  (b,a)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = findMin 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_r) = foldFM 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 zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_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_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lr) fm_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 yu) = 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


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)

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)

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_rlr) fm_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_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lr) fm_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_rlr) fm_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_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lr) fm_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_r) new_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

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_r) new_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_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_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_C3 combiner (Branch key elt size fm_l fm_r) new_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

absReal0 x True = `negate` x

absReal1 x True = x
absReal1 x False = absReal0 x otherwise

absReal2 x = absReal1 x (x >= 0)

The following Function with conditions
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, Ord c) => [(Either a c,b)]  ->  FiniteMap (Either a c) b) :: (Ord c, Ord a) => [(Either a c,b)]  ->  FiniteMap (Either a c) 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 a => FiniteMap a b  ->  [(a,b)]  ->  FiniteMap a b
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,elt) = addToFM_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_r) new_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_r) new_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 a b  ->  (a,b)
findMax (Branch key elt vuv vuw EmptyFM) = (key,elt)
findMax (Branch key elt vux vuy fm_r) = findMax fm_r

  findMin :: FiniteMap b a  ->  (b,a)
findMin (Branch key elt wz EmptyFM xu) = (key,elt)
findMin (Branch key elt xv fm_l xw) = 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 wy fm_l fm_r) = foldFM 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 = 
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_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_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lr) fm_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 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 yu) = 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


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
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

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

mkBranchUnbox wxw wxx wxy x = x

mkBranchLeft_size wxw wxx wxy = sizeFM wxw

mkBranchRight_ok wxw wxx wxy = mkBranchRight_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 vz) = mkBranchLeft_ok0Biggest_left_key fm_l < key

mkBranchRight_size wxw wxx wxy = sizeFM wxy

mkBranchBalance_ok wxw wxx wxy = True

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)) wyv wyw

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_rlr) fm_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_rl) fm_rr
single_R (Branch key_l elt_l yv fm_ll fm_lr) fm_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
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)

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)

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

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

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

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)

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_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)

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)

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

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

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_r wyx wyy wyz wzu = sizeFM wyz

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_L wyx wyy wyz wzu fm_l (Branch key_r elt_r zv (Branch key_rl elt_rl zw fm_rll fm_rlr) fm_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)

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)

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 
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 wzw = fst (findMin wzw)

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 wzx = fst (findMax 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
reduce2Reduce1 wzy wzz x y True = error []
reduce2Reduce1 wzy wzz x y False = reduce2Reduce0 wzy wzz x y otherwise

reduce2D wzy wzz = gcd wzy wzz

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

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

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

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



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

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

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 (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,elt) = addToFM_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_r) new_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_r) new_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_r) = findMax fm_r

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

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

  
fmToList0 key elt rest = (key,elt) : rest

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

  
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_rr) = mkBalBranch6MkBalBranch02 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_rr) = mkBalBranch6MkBalBranch01 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_lr) = mkBalBranch6MkBalBranch12 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_lr) = mkBalBranch6MkBalBranch11 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_rr) = mkBranch 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_lr) fm_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 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_l fm_r

  
mkBranchBalance_ok wxw wxx wxy = True

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

  
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

  
mkBranchLeft_ok0Biggest_left_key wzx = fst (findMax wzx)

  
mkBranchLeft_size wxw wxx wxy = sizeFM wxw

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

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

  
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_ok0Smallest_right_key wzw = fst (findMin wzw)

  
mkBranchRight_size wxw wxx wxy = sizeFM wxy

  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 yu) = 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


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, Ord c) => [(Either a c,b)]  ->  FiniteMap (Either a c) 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 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 (addListToFM_CAdd combiner) fm key_elt_pairs

  
addListToFM_CAdd wzv fmap (key,elt) = addToFM_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_r) new_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_r) new_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_r) = findMax fm_r

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

  fmToList :: FiniteMap a b  ->  [(a,b)]
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 wy fm_l fm_r) = foldFM 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_rr) = mkBranch (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_rr) = mkBalBranch6MkBalBranch02 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_rr) = mkBalBranch6MkBalBranch01 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_lr) = mkBalBranch6MkBalBranch12 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_lr) = mkBalBranch6MkBalBranch11 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_rr) = mkBranch (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_lr) fm_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_l fm_r

  
mkBranchBalance_ok wxw wxx wxy = True

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

  
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

  
mkBranchLeft_ok0Biggest_left_key wzx = fst (findMax wzx)

  
mkBranchLeft_size wxw wxx wxy = sizeFM wxw

  
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)) wyv wyw

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

  
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_ok0Smallest_right_key wzw = fst (findMin wzw)

  
mkBranchRight_size wxw wxx wxy = sizeFM wxy

  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 yu) = size

  unitFM :: b  ->  a  ->  FiniteMap b a
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(xuu50000), Succ(xuu51000)) → new_primCmpNat(xuu50000, xuu51000)

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(xuu53200), Succ(xuu12200)) → new_primMinusNat(xuu53200, xuu12200)

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(xuu53200), Succ(xuu12200)) → new_primPlusNat(xuu53200, xuu12200)

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(xuu311000100), Succ(xuu600100)) → new_primMulNat(xuu311000100, Succ(xuu600100))

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_esEs2(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs1(xuu3110000, xuu6000, bba, bbb, bbc)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, app(app(ty_@2, hc), hd), fa) → new_esEs3(xuu3110001, xuu6001, hc, hd)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(ty_[], cb), cc) → new_esEs(xuu3110000, xuu6000, cb)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(ty_[], baf)) → new_esEs(xuu3110000, xuu6000, baf)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, app(app(app(ty_@3, gg), gh), ha), fa) → new_esEs1(xuu3110001, xuu6001, gg, gh, ha)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(ty_Maybe, bdh)) → new_esEs2(xuu3110001, xuu6001, bdh)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(ty_[], bbg), bbh) → new_esEs(xuu3110000, xuu6000, bbg)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, eh, app(app(app(ty_@3, hh), baa), bab)) → new_esEs1(xuu3110002, xuu6002, hh, baa, bab)
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, cd), ce), cc) → new_esEs0(xuu3110000, xuu6000, cd, ce)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(app(ty_@3, bcc), bcd), bce), bbh) → new_esEs1(xuu3110000, xuu6000, bcc, bcd, bce)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(ty_Maybe, bf)) → new_esEs2(xuu3110000, xuu6000, bf)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(app(ty_Either, bdc), bdd)) → new_esEs0(xuu3110001, xuu6001, bdc, bdd)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(ty_[], bdb)) → new_esEs(xuu3110001, xuu6001, bdb)
new_esEs0(Right(xuu3110000), Right(xuu6000), de, app(app(ty_Either, dg), dh)) → new_esEs0(xuu3110000, xuu6000, dg, dh)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bda, app(app(ty_@2, bea), beb)) → new_esEs3(xuu3110001, xuu6001, bea, beb)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, db), cc) → new_esEs2(xuu3110000, xuu6000, db)
new_esEs0(Right(xuu3110000), Right(xuu6000), de, app(ty_Maybe, ed)) → new_esEs2(xuu3110000, xuu6000, ed)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(app(ty_@3, fd), ff), fg), eh, fa) → new_esEs1(xuu3110000, xuu6000, fd, ff, fg)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(ty_Either, ba), bb)) → new_esEs0(xuu3110000, xuu6000, ba, bb)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(ty_Maybe, bcf), bbh) → new_esEs2(xuu3110000, xuu6000, bcf)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ca) → new_esEs(xuu3110001, xuu6001, ca)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(ty_Either, fb), fc), eh, fa) → new_esEs0(xuu3110000, xuu6000, fb, fc)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, app(ty_Maybe, hb), fa) → new_esEs2(xuu3110001, xuu6001, hb)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(app(ty_@2, ga), gb), eh, fa) → new_esEs3(xuu3110000, xuu6000, ga, gb)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(app(ty_@3, bc), bd), be)) → new_esEs1(xuu3110000, xuu6000, bc, bd, be)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, app(app(ty_Either, ge), gf), fa) → new_esEs0(xuu3110001, xuu6001, ge, gf)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, eh, app(app(ty_Either, hf), hg)) → new_esEs0(xuu3110002, xuu6002, hf, hg)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(ty_[], eg), eh, fa) → new_esEs(xuu3110000, xuu6000, eg)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, eh, app(ty_Maybe, bac)) → new_esEs2(xuu3110002, xuu6002, bac)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(ty_@2, bcg), bch), bbh) → new_esEs3(xuu3110000, xuu6000, bcg, bch)
new_esEs0(Right(xuu3110000), Right(xuu6000), de, app(app(ty_@2, ee), ef)) → new_esEs3(xuu3110000, xuu6000, ee, ef)
new_esEs0(Right(xuu3110000), Right(xuu6000), de, app(ty_[], df)) → new_esEs(xuu3110000, xuu6000, df)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), app(ty_Maybe, fh), eh, fa) → new_esEs2(xuu3110000, xuu6000, fh)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(app(ty_@2, bg), bh)) → new_esEs3(xuu3110000, xuu6000, bg, bh)
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), bda, app(app(app(ty_@3, bde), bdf), bdg)) → new_esEs1(xuu3110001, xuu6001, bde, bdf, bdg)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, eh, app(app(ty_@2, bad), bae)) → new_esEs3(xuu3110002, xuu6002, bad, bae)
new_esEs3(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), app(app(ty_Either, bca), bcb), bbh) → new_esEs0(xuu3110000, xuu6000, bca, bcb)
new_esEs2(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, bag), bah)) → new_esEs0(xuu3110000, xuu6000, bag, bah)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, eh, app(ty_[], he)) → new_esEs(xuu3110002, xuu6002, he)
new_esEs1(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), gc, app(ty_[], gd), fa) → new_esEs(xuu3110001, xuu6001, gd)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, dc), dd), cc) → new_esEs3(xuu3110000, xuu6000, dc, dd)
new_esEs(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), app(ty_[], h)) → new_esEs(xuu3110000, xuu6000, h)
new_esEs0(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cf), cg), da), cc) → new_esEs1(xuu3110000, xuu6000, cf, cg, da)
new_esEs0(Right(xuu3110000), Right(xuu6000), de, app(app(app(ty_@3, ea), eb), ec)) → new_esEs1(xuu3110000, xuu6000, ea, eb, ec)

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_compare(:(xuu50000, xuu50001), :(xuu51000, xuu51001), baf) → new_primCompAux(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, baf), baf)
new_compare0(xuu50000, xuu51000, ca) → new_compare2(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, ca), ca)
new_compare21(Left(Right(xuu50000)), Left(Right(xuu51000)), False, app(app(ty_Either, hd), app(app(ty_@2, bad), bae)), ga) → new_ltEs3(xuu50000, xuu51000, bad, bae)
new_ltEs(Just(xuu50000), Just(xuu51000), app(ty_[], bf)) → new_ltEs2(xuu50000, xuu51000, bf)
new_ltEs1(Left(xuu50000), Left(xuu51000), app(app(ty_Either, gg), gh), gc) → new_ltEs1(xuu50000, xuu51000, gg, gh)
new_compare21(Left(:(xuu50000, xuu50001)), Left(:(xuu51000, xuu51001)), False, app(ty_[], baf), ga) → new_compare(xuu50001, xuu51001, baf)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), app(app(app(ty_@3, cd), ce), cf), cb, cc) → new_compare20(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_compare21(Left(:(xuu50000, xuu50001)), Left(:(xuu51000, xuu51001)), False, app(ty_[], baf), ga) → new_primCompAux(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, baf), baf)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, app(ty_[], bch)) → new_ltEs2(xuu50001, xuu51001, bch)
new_ltEs1(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, gd), ge), gf), gc) → new_ltEs0(xuu50000, xuu51000, gd, ge, gf)
new_compare21(Left(Just(xuu50000)), Left(Just(xuu51000)), False, app(ty_Maybe, app(ty_Maybe, h)), ga) → new_ltEs(xuu50000, xuu51000, h)
new_lt3(xuu50000, xuu51000, dc, dd) → new_compare22(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, dc, dd), dc, dd)
new_compare21(Left(Just(xuu50000)), Left(Just(xuu51000)), False, app(ty_Maybe, app(app(ty_Either, bd), be)), ga) → new_ltEs1(xuu50000, xuu51000, bd, be)
new_compare21(Left(Right(xuu50000)), Left(Right(xuu51000)), False, app(app(ty_Either, hd), app(ty_Maybe, he)), ga) → new_ltEs(xuu50000, xuu51000, he)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, app(ty_[], ed), cc) → new_lt2(xuu50001, xuu51001, ed)
new_primCompAux(xuu50000, xuu51000, xuu191, app(ty_[], bfc)) → new_compare(xuu50000, xuu51000, bfc)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, app(app(ty_@2, dc), dd)), cb), cc), ga) → new_compare22(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, dc, dd), dc, dd)
new_compare1(xuu50000, xuu51000, cd, ce, cf) → new_compare20(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, app(app(ty_@2, fg), fh)) → new_ltEs3(xuu50002, xuu51002, fg, fh)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), cb), app(app(app(ty_@3, eh), fa), fb)), ga) → new_ltEs0(xuu50002, xuu51002, eh, fa, fb)
new_compare3(xuu50000, xuu51000, cg, da) → new_compare21(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, cg, da), cg, da)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), app(ty_[], db), cb, cc) → new_compare(xuu50000, xuu51000, db)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs0(xuu50001, xuu51001, bcc, bcd, bce)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, app(app(ty_@2, bbg), bbh)), bah), ga) → new_lt3(xuu50000, xuu51000, bbg, bbh)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, app(app(ty_@2, bda), bdb)) → new_ltEs3(xuu50001, xuu51001, bda, bdb)
new_lt0(xuu50000, xuu51000, cd, ce, cf) → new_compare20(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, app(app(ty_Either, bcf), bcg)) → new_ltEs1(xuu50001, xuu51001, bcf, bcg)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), app(app(app(ty_@3, dg), dh), ea)), cc), ga) → new_lt0(xuu50001, xuu51001, dg, dh, ea)
new_lt1(xuu50000, xuu51000, cg, da) → new_compare21(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, cg, da), cg, da)
new_ltEs1(Left(xuu50000), Left(xuu51000), app(ty_Maybe, gb), gc) → new_ltEs(xuu50000, xuu51000, gb)
new_ltEs(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, ba), bb), bc)) → new_ltEs0(xuu50000, xuu51000, ba, bb, bc)
new_compare21(Left(Left(xuu50000)), Left(Left(xuu51000)), False, app(app(ty_Either, app(ty_Maybe, gb)), gc), ga) → new_ltEs(xuu50000, xuu51000, gb)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, bca), app(ty_[], bch)), ga) → new_ltEs2(xuu50001, xuu51001, bch)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, app(app(app(ty_@3, eh), fa), fb)) → new_ltEs0(xuu50002, xuu51002, eh, fa, fb)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, app(app(app(ty_@3, cd), ce), cf)), cb), cc), ga) → new_compare20(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), app(app(ty_@2, bbg), bbh), bah) → new_lt3(xuu50000, xuu51000, bbg, bbh)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, app(app(app(ty_@3, bba), bbb), bbc)), bah), ga) → new_lt0(xuu50000, xuu51000, bba, bbb, bbc)
new_ltEs2(:(xuu50000, xuu50001), :(xuu51000, xuu51001), baf) → new_compare(xuu50001, xuu51001, baf)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, bca), app(app(app(ty_@3, bcc), bcd), bce)), ga) → new_ltEs0(xuu50001, xuu51001, bcc, bcd, bce)
new_primCompAux(xuu50000, xuu51000, xuu191, app(app(ty_Either, bfa), bfb)) → new_compare3(xuu50000, xuu51000, bfa, bfb)
new_ltEs1(Right(xuu50000), Right(xuu51000), hd, app(app(ty_Either, baa), bab)) → new_ltEs1(xuu50000, xuu51000, baa, bab)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, app(ty_Maybe, eg)) → new_ltEs(xuu50002, xuu51002, eg)
new_lt2(xuu50000, xuu51000, db) → new_compare(xuu50000, xuu51000, db)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, app(app(ty_Either, cg), da)), cb), cc), ga) → new_compare21(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, cg, da), cg, da)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), cb), app(ty_Maybe, eg)), ga) → new_ltEs(xuu50002, xuu51002, eg)
new_compare21(Left(Right(xuu50000)), Left(Right(xuu51000)), False, app(app(ty_Either, hd), app(app(app(ty_@3, hf), hg), hh)), ga) → new_ltEs0(xuu50000, xuu51000, hf, hg, hh)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), app(app(ty_Either, eb), ec)), cc), ga) → new_lt1(xuu50001, xuu51001, eb, ec)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, app(ty_[], bbf)), bah), ga) → new_lt2(xuu50000, xuu51000, bbf)
new_compare20(xuu50000, xuu51000, False, cd, ce, cf) → new_ltEs0(xuu50000, xuu51000, cd, ce, cf)
new_compare21(Left(Left(xuu50000)), Left(Left(xuu51000)), False, app(app(ty_Either, app(app(app(ty_@3, gd), ge), gf)), gc), ga) → new_ltEs0(xuu50000, xuu51000, gd, ge, gf)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), cb), app(app(ty_Either, fc), fd)), ga) → new_ltEs1(xuu50002, xuu51002, fc, fd)
new_primCompAux(xuu50000, xuu51000, xuu191, app(ty_Maybe, bee)) → new_compare0(xuu50000, xuu51000, bee)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), cb), app(app(ty_@2, fg), fh)), ga) → new_ltEs3(xuu50002, xuu51002, fg, fh)
new_compare21(Left(Just(xuu50000)), Left(Just(xuu51000)), False, app(ty_Maybe, app(app(ty_@2, bg), bh)), ga) → new_ltEs3(xuu50000, xuu51000, bg, bh)
new_compare21(Right(xuu5000), Right(xuu5100), False, bdc, app(ty_[], beb)) → new_ltEs2(xuu5000, xuu5100, beb)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), app(app(ty_Either, cg), da), cb, cc) → new_compare21(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, cg, da), cg, da)
new_primCompAux(xuu50000, xuu51000, xuu191, app(app(ty_@2, bfd), bfe)) → new_compare5(xuu50000, xuu51000, bfd, bfe)
new_compare22(xuu50000, xuu51000, False, dc, dd) → new_ltEs3(xuu50000, xuu51000, dc, dd)
new_ltEs1(Right(xuu50000), Right(xuu51000), hd, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs0(xuu50000, xuu51000, hf, hg, hh)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), cb), app(ty_[], ff)), ga) → new_ltEs2(xuu50002, xuu51002, ff)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), app(ty_[], ed)), cc), ga) → new_lt2(xuu50001, xuu51001, ed)
new_compare21(Right(xuu5000), Right(xuu5100), False, bdc, app(app(ty_Either, bdh), bea)) → new_ltEs1(xuu5000, xuu5100, bdh, bea)
new_primCompAux(xuu50000, xuu51000, xuu191, app(app(app(ty_@3, bef), beg), beh)) → new_compare1(xuu50000, xuu51000, bef, beg, beh)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, app(app(ty_Either, bbd), bbe)), bah), ga) → new_lt1(xuu50000, xuu51000, bbd, bbe)
new_compare21(Left(Just(xuu50000)), Left(Just(xuu51000)), False, app(ty_Maybe, app(app(app(ty_@3, ba), bb), bc)), ga) → new_ltEs0(xuu50000, xuu51000, ba, bb, bc)
new_compare21(Left(Left(xuu50000)), Left(Left(xuu51000)), False, app(app(ty_Either, app(ty_[], ha)), gc), ga) → new_ltEs2(xuu50000, xuu51000, ha)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, app(app(ty_@2, ee), ef), cc) → new_lt3(xuu50001, xuu51001, ee, ef)
new_compare21(Left(Right(xuu50000)), Left(Right(xuu51000)), False, app(app(ty_Either, hd), app(app(ty_Either, baa), bab)), ga) → new_ltEs1(xuu50000, xuu51000, baa, bab)
new_ltEs1(Left(xuu50000), Left(xuu51000), app(ty_[], ha), gc) → new_ltEs2(xuu50000, xuu51000, ha)
new_ltEs(Just(xuu50000), Just(xuu51000), app(ty_Maybe, h)) → new_ltEs(xuu50000, xuu51000, h)
new_lt(xuu50000, xuu51000, ca) → new_compare2(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, ca), ca)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, app(ty_[], db)), cb), cc), ga) → new_compare(xuu50000, xuu51000, db)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, app(ty_Maybe, bag)), bah), ga) → new_lt(xuu50000, xuu51000, bag)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, app(ty_Maybe, bcb)) → new_ltEs(xuu50001, xuu51001, bcb)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), app(app(ty_Either, bbd), bbe), bah) → new_lt1(xuu50000, xuu51000, bbd, bbe)
new_compare21(Left(Just(xuu50000)), Left(Just(xuu51000)), False, app(ty_Maybe, app(ty_[], bf)), ga) → new_ltEs2(xuu50000, xuu51000, bf)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, app(app(app(ty_@3, dg), dh), ea), cc) → new_lt0(xuu50001, xuu51001, dg, dh, ea)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, bca), app(app(ty_@2, bda), bdb)), ga) → new_ltEs3(xuu50001, xuu51001, bda, bdb)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, bca), app(ty_Maybe, bcb)), ga) → new_ltEs(xuu50001, xuu51001, bcb)
new_ltEs1(Right(xuu50000), Right(xuu51000), hd, app(ty_Maybe, he)) → new_ltEs(xuu50000, xuu51000, he)
new_ltEs1(Right(xuu50000), Right(xuu51000), hd, app(ty_[], bac)) → new_ltEs2(xuu50000, xuu51000, bac)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, app(app(ty_Either, eb), ec), cc) → new_lt1(xuu50001, xuu51001, eb, ec)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), app(ty_Maybe, ca), cb, cc) → new_compare2(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, ca), ca)
new_compare21(Left(@2(xuu50000, xuu50001)), Left(@2(xuu51000, xuu51001)), False, app(app(ty_@2, bca), app(app(ty_Either, bcf), bcg)), ga) → new_ltEs1(xuu50001, xuu51001, bcf, bcg)
new_compare2(xuu50000, xuu51000, False, ca) → new_ltEs(xuu50000, xuu51000, ca)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, app(ty_[], ff)) → new_ltEs2(xuu50002, xuu51002, ff)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), app(ty_Maybe, df)), cc), ga) → new_lt(xuu50001, xuu51001, df)
new_ltEs(Just(xuu50000), Just(xuu51000), app(app(ty_@2, bg), bh)) → new_ltEs3(xuu50000, xuu51000, bg, bh)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, de), app(app(ty_@2, ee), ef)), cc), ga) → new_lt3(xuu50001, xuu51001, ee, ef)
new_ltEs(Just(xuu50000), Just(xuu51000), app(app(ty_Either, bd), be)) → new_ltEs1(xuu50000, xuu51000, bd, be)
new_ltEs1(Right(xuu50000), Right(xuu51000), hd, app(app(ty_@2, bad), bae)) → new_ltEs3(xuu50000, xuu51000, bad, bae)
new_ltEs2(:(xuu50000, xuu50001), :(xuu51000, xuu51001), baf) → new_primCompAux(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, baf), baf)
new_compare21(Left(@3(xuu50000, xuu50001, xuu50002)), Left(@3(xuu51000, xuu51001, xuu51002)), False, app(app(app(ty_@3, app(ty_Maybe, ca)), cb), cc), ga) → new_compare2(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, ca), ca)
new_compare(:(xuu50000, xuu50001), :(xuu51000, xuu51001), baf) → new_compare(xuu50001, xuu51001, baf)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, app(app(ty_Either, fc), fd)) → new_ltEs1(xuu50002, xuu51002, fc, fd)
new_compare5(xuu50000, xuu51000, dc, dd) → new_compare22(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, dc, dd), dc, dd)
new_compare21(Left(Left(xuu50000)), Left(Left(xuu51000)), False, app(app(ty_Either, app(app(ty_Either, gg), gh)), gc), ga) → new_ltEs1(xuu50000, xuu51000, gg, gh)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), app(ty_Maybe, bag), bah) → new_lt(xuu50000, xuu51000, bag)
new_compare21(Right(xuu5000), Right(xuu5100), False, bdc, app(ty_Maybe, bdd)) → new_ltEs(xuu5000, xuu5100, bdd)
new_compare21(Right(xuu5000), Right(xuu5100), False, bdc, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs0(xuu5000, xuu5100, bde, bdf, bdg)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), app(app(ty_@2, dc), dd), cb, cc) → new_compare22(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, dc, dd), dc, dd)
new_compare21(Right(xuu5000), Right(xuu5100), False, bdc, app(app(ty_@2, bec), bed)) → new_ltEs3(xuu5000, xuu5100, bec, bed)
new_compare21(Left(Left(xuu50000)), Left(Left(xuu51000)), False, app(app(ty_Either, app(app(ty_@2, hb), hc)), gc), ga) → new_ltEs3(xuu50000, xuu51000, hb, hc)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), app(app(app(ty_@3, bba), bbb), bbc), bah) → new_lt0(xuu50000, xuu51000, bba, bbb, bbc)
new_compare21(Left(Right(xuu50000)), Left(Right(xuu51000)), False, app(app(ty_Either, hd), app(ty_[], bac)), ga) → new_ltEs2(xuu50000, xuu51000, bac)
new_ltEs1(Left(xuu50000), Left(xuu51000), app(app(ty_@2, hb), hc), gc) → new_ltEs3(xuu50000, xuu51000, hb, hc)
new_ltEs0(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, app(ty_Maybe, df), cc) → new_lt(xuu50001, xuu51001, df)
new_ltEs3(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), app(ty_[], bbf), bah) → new_lt2(xuu50000, xuu51000, bbf)

The TRS R consists of the following rules:

new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cgf)) → new_esEs4(xuu3110000, xuu6000, cgf)
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, de), cb), cc)) → new_ltEs9(xuu5000, xuu5100, de, cb, cc)
new_compare112(xuu50000, xuu51000, True, ca) → LT
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_compare23(Left(xuu5000), Left(xuu5100), False, bdc, ga) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bdc), bdc, ga)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, dg), dh), ea)) → new_lt10(xuu50001, xuu51001, dg, dh, ea)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dbg), dbh), dca)) → new_esEs5(xuu3110001, xuu6001, dbg, dbh, dca)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(ty_[], bbf)) → new_lt18(xuu50000, xuu51000, bbf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs12(LT, GT) → True
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dea) → new_asAs(new_esEs27(xuu3110000, xuu6000, dea), new_esEs28(xuu3110001, xuu6001, dea))
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_compare10(xuu154, xuu155, True, bge, bgf) → LT
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bec), bed)) → new_ltEs19(xuu5000, xuu5100, bec, bed)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cff) → False
new_esEs4(Nothing, Just(xuu6000), cff) → False
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, dcb)) → new_esEs4(xuu3110001, xuu6001, dcb)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, bbd), bbe)) → new_lt14(xuu50000, xuu51000, bbd, bbe)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, gc) → new_ltEs12(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(app(ty_@2, cea), ceb)) → new_esEs7(xuu3110000, xuu6000, cea, ceb)
new_ltEs12(LT, LT) → True
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], ha), gc) → new_ltEs17(xuu50000, xuu51000, ha)
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare17(xuu50000, xuu51000, cg, da) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, cg, da), cg, da)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dcg), dch)) → new_esEs6(xuu3110002, xuu6002, dcg, dch)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bhh)) → new_esEs4(xuu3110000, xuu6000, bhh)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(app(ty_@2, bad), bae)) → new_ltEs19(xuu50000, xuu51000, bad, bae)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, eg)) → new_ltEs8(xuu50002, xuu51002, eg)
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, dah)) → new_esEs4(xuu3110000, xuu6000, dah)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_lt6(xuu50001, xuu51001, app(app(ty_@2, ee), ef)) → new_lt19(xuu50001, xuu51001, ee, ef)
new_ltEs12(LT, EQ) → True
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, fg), fh)) → new_ltEs19(xuu50002, xuu51002, fg, fh)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(ty_Ratio, cdb)) → new_esEs11(xuu3110000, xuu6000, cdb)
new_esEs12(@0, @0) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, cae), caf)) → new_esEs6(xuu3110001, xuu6001, cae, caf)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, bag)) → new_esEs4(xuu50000, xuu51000, bag)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, ba), bb), bc)) → new_ltEs9(xuu50000, xuu51000, ba, bb, bc)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, fc), fd)) → new_ltEs13(xuu50002, xuu51002, fc, fd)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], db)) → new_esEs18(xuu50000, xuu51000, db)
new_pePe(False, xuu181) → xuu181
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dde), ddf)) → new_esEs7(xuu3110002, xuu6002, dde, ddf)
new_esEs18([], :(xuu6000, xuu6001), cec) → False
new_esEs18(:(xuu3110000, xuu3110001), [], cec) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_ltEs15(True, True) → True
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, bga)) → new_lt7(xuu50000, xuu51000, bga)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), bgg, bgh) → new_asAs(new_esEs20(xuu3110000, xuu6000, bgg), new_esEs21(xuu3110001, xuu6001, bgh))
new_ltEs15(False, True) → True
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, bba), bbb), bbc)) → new_lt10(xuu50000, xuu51000, bba, bbb, bbc)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, cd), ce), cf)) → new_lt10(xuu50000, xuu51000, cd, ce, cf)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, dg), dh), ea)) → new_esEs5(xuu50001, xuu51001, dg, dh, ea)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bha)) → new_esEs18(xuu3110000, xuu6000, bha)
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bfg)) → new_ltEs8(xuu5000, xuu5100, bfg)
new_ltEs15(False, False) → True
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, cbe) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_ltEs8(Nothing, Just(xuu51000), bfg) → True
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_primCompAux0(xuu50000, xuu51000, xuu191, baf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, baf))
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_compare114(xuu50000, xuu51000, False, cd, ce, cf) → GT
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs6(Right(xuu3110000), Left(xuu6000), cch, cbe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cch, cbe) → False
new_esEs8(LT, LT) → True
new_lt9(xuu50000, xuu51000, ca) → new_esEs8(new_compare13(xuu50000, xuu51000, ca), LT)
new_ltEs21(xuu50001, xuu51001, app(ty_[], bch)) → new_ltEs17(xuu50001, xuu51001, bch)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, bbg), bbh)) → new_lt19(xuu50000, xuu51000, bbg, bbh)
new_lt7(xuu50000, xuu51000, bga) → new_esEs8(new_compare9(xuu50000, xuu51000, bga), LT)
new_pePe(True, xuu181) → True
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(ty_Maybe, he)) → new_ltEs8(xuu50000, xuu51000, he)
new_primEqNat0(Zero, Zero) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dac), dad)) → new_esEs6(xuu3110000, xuu6000, dac, dad)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dce)) → new_esEs18(xuu3110002, xuu6002, dce)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, hd), gc)) → new_ltEs13(xuu5000, xuu5100, hd, gc)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bdd)) → new_ltEs8(xuu5000, xuu5100, bdd)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dbc)) → new_esEs18(xuu3110001, xuu6001, dbc)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cfd), cfe)) → new_esEs7(xuu3110000, xuu6000, cfd, cfe)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(app(ty_Either, cdc), cdd)) → new_esEs6(xuu3110000, xuu6000, cdc, cdd)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, bga)) → new_esEs11(xuu50000, xuu51000, bga)
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, cbe) → new_esEs16(xuu3110000, xuu6000)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_compare114(xuu50000, xuu51000, True, cd, ce, cf) → LT
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dcc), dcd)) → new_esEs7(xuu3110001, xuu6001, dcc, dcd)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs8(GT, GT) → True
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bfd), bfe)) → new_compare25(xuu50000, xuu51000, bfd, bfe)
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_compare4([], [], baf) → EQ
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, cbe) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_ltEs17(xuu5000, xuu5100, baf) → new_fsEs(new_compare4(xuu5000, xuu5100, baf))
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_lt10(xuu50000, xuu51000, cd, ce, cf) → new_esEs8(new_compare14(xuu50000, xuu51000, cd, ce, cf), LT)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ced)) → new_esEs18(xuu3110000, xuu6000, ced)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, True, cd, ce, cf) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, dbd)) → new_esEs11(xuu3110001, xuu6001, dbd)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_compare113(xuu50000, xuu51000, True, dc, dd) → LT
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, eh), fa), fb)) → new_ltEs9(xuu50002, xuu51002, eh, fa, fb)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_esEs10(xuu50001, xuu51001, app(ty_[], ed)) → new_esEs18(xuu50001, xuu51001, ed)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_primCmpNat1(Zero, xuu5000) → LT
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, ddh)) → new_ltEs6(xuu50001, xuu51001, ddh)
new_esEs21(xuu3110001, xuu6001, app(ty_[], cac)) → new_esEs18(xuu3110001, xuu6001, cac)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, gd), ge), gf), gc) → new_ltEs9(xuu50000, xuu51000, gd, ge, gf)
new_ltEs12(EQ, EQ) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, cbc), cbd)) → new_esEs7(xuu3110001, xuu6001, cbc, cbd)
new_compare210(xuu50000, xuu51000, False, dc, dd) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, dc, dd), dc, dd)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu50001, xuu51001, bcf, bcg)
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(app(app(ty_@3, hf), hg), hh)) → new_ltEs9(xuu50000, xuu51000, hf, hg, hh)
new_esEs8(EQ, EQ) → True
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, gc) → new_ltEs11(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], bbf)) → new_esEs18(xuu50000, xuu51000, bbf)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, ceh), cfa), cfb)) → new_esEs5(xuu3110000, xuu6000, ceh, cfa, cfb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, gc) → new_ltEs16(xuu50000, xuu51000)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, app(ty_[], beb)) → new_ltEs17(xuu5000, xuu5100, beb)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bee)) → new_compare13(xuu50000, xuu51000, bee)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cfc)) → new_esEs4(xuu3110000, xuu6000, cfc)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, ddd)) → new_esEs4(xuu3110002, xuu6002, ddd)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare10(xuu154, xuu155, False, bge, bgf) → GT
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cga), cgb)) → new_esEs6(xuu3110000, xuu6000, cga, cgb)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, dc), dd)) → new_esEs7(xuu50000, xuu51000, dc, dd)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, gc) → new_ltEs18(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, ccb), ccc), ccd), cbe) → new_esEs5(xuu3110000, xuu6000, ccb, ccc, ccd)
new_compare8(xuu50000, xuu51000, app(ty_[], bfc)) → new_compare4(xuu50000, xuu51000, bfc)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bfa), bfb)) → new_compare17(xuu50000, xuu51000, bfa, bfb)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(ty_Maybe, cdh)) → new_esEs4(xuu3110000, xuu6000, cdh)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_ltEs20(xuu50002, xuu51002, app(ty_[], ff)) → new_ltEs17(xuu50002, xuu51002, ff)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, bd), be)) → new_ltEs13(xuu50000, xuu51000, bd, be)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cgc), cgd), cge)) → new_esEs5(xuu3110000, xuu6000, cgc, cgd, cge)
new_compare113(xuu50000, xuu51000, False, dc, dd) → GT
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bfh)) → new_ltEs6(xuu5000, xuu5100, bfh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_primCompAux00(xuu205, LT) → LT
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, cg), da)) → new_esEs6(xuu50000, xuu51000, cg, da)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cfh)) → new_esEs11(xuu3110000, xuu6000, cfh)
new_ltEs8(Just(xuu50000), Nothing, bfg) → False
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, ee), ef)) → new_esEs7(xuu50001, xuu51001, ee, ef)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bdh), bea)) → new_ltEs13(xuu5000, xuu5100, bdh, bea)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, che)) → new_ltEs6(xuu50000, xuu51000, che)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_lt19(xuu50000, xuu51000, dc, dd) → new_esEs8(new_compare25(xuu50000, xuu51000, dc, dd), LT)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_compare11(xuu161, xuu162, True, cha, chb) → LT
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dcf)) → new_esEs11(xuu3110002, xuu6002, dcf)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs12(GT, EQ) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cce), cbe) → new_esEs4(xuu3110000, xuu6000, cce)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_lt5(xuu50000, xuu51000, app(ty_Maybe, ca)) → new_lt9(xuu50000, xuu51000, ca)
new_primCompAux00(xuu205, EQ) → xuu205
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bca, bah) → new_pePe(new_lt20(xuu50000, xuu51000, bca), new_asAs(new_esEs26(xuu50000, xuu51000, bca), new_ltEs21(xuu50001, xuu51001, bah)))
new_lt6(xuu50001, xuu51001, app(app(ty_Either, eb), ec)) → new_lt14(xuu50001, xuu51001, eb, ec)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bde), bdf), bdg)) → new_ltEs9(xuu5000, xuu5100, bde, bdf, bdg)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, ccf), ccg), cbe) → new_esEs7(xuu3110000, xuu6000, ccf, ccg)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, cbh), cca), cbe) → new_esEs6(xuu3110000, xuu6000, cbh, cca)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bgd)) → new_compare9(xuu50000, xuu51000, bgd)
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_compare210(xuu50000, xuu51000, True, dc, dd) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dbe), dbf)) → new_esEs6(xuu3110001, xuu6001, dbe, dbf)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, False, cd, ce, cf) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), chf, chg, chh) → new_asAs(new_esEs23(xuu3110000, xuu6000, chf), new_asAs(new_esEs24(xuu3110001, xuu6001, chg), new_esEs25(xuu3110002, xuu6002, chh)))
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dab)) → new_esEs11(xuu3110000, xuu6000, dab)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_lt18(xuu50000, xuu51000, db) → new_esEs8(new_compare4(xuu50000, xuu51000, db), LT)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bca), bah)) → new_ltEs19(xuu5000, xuu5100, bca, bah)
new_compare11(xuu161, xuu162, False, cha, chb) → GT
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bhb)) → new_esEs11(xuu3110000, xuu6000, bhb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bhe), bhf), bhg)) → new_esEs5(xuu3110000, xuu6000, bhe, bhf, bhg)
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, cag), cah), cba)) → new_esEs5(xuu3110001, xuu6001, cag, cah, cba)
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_compare23(Right(xuu5000), Left(xuu5100), False, bdc, ga) → GT
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), de, cb, cc) → new_pePe(new_lt5(xuu50000, xuu51000, de), new_asAs(new_esEs9(xuu50000, xuu51000, de), new_pePe(new_lt6(xuu50001, xuu51001, cb), new_asAs(new_esEs10(xuu50001, xuu51001, cb), new_ltEs20(xuu50002, xuu51002, cc)))))
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primCmpNat2(Zero, Zero) → EQ
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_compare110(xuu50000, xuu51000, True) → LT
new_ltEs12(EQ, GT) → True
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, bbg), bbh)) → new_esEs7(xuu50000, xuu51000, bbg, bbh)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, cd), ce), cf)) → new_esEs5(xuu50000, xuu51000, cd, ce, cf)
new_compare110(xuu50000, xuu51000, False) → GT
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs4(Nothing, Nothing, cff) → True
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, gc) → new_ltEs10(xuu50000, xuu51000)
new_compare4(:(xuu50000, xuu50001), [], baf) → GT
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bhc), bhd)) → new_esEs6(xuu3110000, xuu6000, bhc, bhd)
new_primCmpNat0(xuu5000, Zero) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], cbf), cbe) → new_esEs18(xuu3110000, xuu6000, cbf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs16(True, True) → True
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bef), beg), beh)) → new_compare14(xuu50000, xuu51000, bef, beg, beh)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, bcb)) → new_ltEs8(xuu50001, xuu51001, bcb)
new_compare23(xuu500, xuu510, True, bdc, ga) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, cbe) → new_esEs8(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, bg), bh)) → new_ltEs19(xuu50000, xuu51000, bg, bh)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_compare4([], :(xuu51000, xuu51001), baf) → LT
new_lt5(xuu50000, xuu51000, app(app(ty_Either, cg), da)) → new_lt14(xuu50000, xuu51000, cg, da)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, bag)) → new_lt9(xuu50000, xuu51000, bag)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, bgb)) → new_lt7(xuu50001, xuu51001, bgb)
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, gc) → new_ltEs7(xuu50000, xuu51000)
new_compare25(xuu50000, xuu51000, dc, dd) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, dc, dd), dc, dd)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, gb), gc) → new_ltEs8(xuu50000, xuu51000, gb)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, gg), gh), gc) → new_ltEs13(xuu50000, xuu51000, gg, gh)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], bf)) → new_ltEs17(xuu50000, xuu51000, bf)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, cbb)) → new_esEs4(xuu3110001, xuu6001, cbb)
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(app(ty_Either, baa), bab)) → new_ltEs13(xuu50000, xuu51000, baa, bab)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, cbg), cbe) → new_esEs11(xuu3110000, xuu6000, cbg)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, df)) → new_lt9(xuu50001, xuu51001, df)
new_ltEs6(xuu5000, xuu5100, bff) → new_fsEs(new_compare9(xuu5000, xuu5100, bff))
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, h)) → new_ltEs8(xuu50000, xuu51000, h)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu50001, xuu51001, bcc, bcd, bce)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bff)) → new_ltEs6(xuu5000, xuu5100, bff)
new_asAs(False, xuu149) → False
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt5(xuu50000, xuu51000, app(ty_[], db)) → new_lt18(xuu50000, xuu51000, db)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_compare23(Left(xuu5000), Right(xuu5100), False, bdc, ga) → LT
new_ltEs13(Left(xuu50000), Right(xuu51000), hd, gc) → True
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_esEs18([], [], cec) → True
new_lt5(xuu50000, xuu51000, app(app(ty_@2, dc), dd)) → new_lt19(xuu50000, xuu51000, dc, dd)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), baf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, baf), baf)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cfg)) → new_esEs18(xuu3110000, xuu6000, cfg)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, ca)) → new_esEs4(xuu50000, xuu51000, ca)
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_ltEs12(GT, GT) → True
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu50001, xuu51001, bda, bdb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, cbe) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, dba), dbb)) → new_esEs7(xuu3110000, xuu6000, dba, dbb)
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, cbe) → new_esEs19(xuu3110000, xuu6000)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_compare13(xuu50000, xuu51000, ca) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, ca), ca)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_compare27(xuu50000, xuu51000, True) → EQ
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), cec) → new_asAs(new_esEs22(xuu3110000, xuu6000, cec), new_esEs18(xuu3110001, xuu6001, cec))
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Left(xuu51000), hd, gc) → False
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(False, False) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_[], ed)) → new_lt18(xuu50001, xuu51001, ed)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_compare28(xuu50000, xuu51000, False, ca) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, ca), ca)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs12(EQ, LT) → False
new_compare14(xuu50000, xuu51000, cd, ce, cf) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, cd, ce, cf), cd, ce, cf)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bfg) → True
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, bgc)) → new_ltEs6(xuu50002, xuu51002, bgc)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dda), ddb), ddc)) → new_esEs5(xuu3110002, xuu6002, dda, ddb, ddc)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, cef), ceg)) → new_esEs6(xuu3110000, xuu6000, cef, ceg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, cbe) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, cgg), cgh)) → new_esEs7(xuu3110000, xuu6000, cgg, cgh)
new_compare112(xuu50000, xuu51000, False, ca) → GT
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, ddg)) → new_esEs11(xuu50000, xuu51000, ddg)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, caa), cab)) → new_esEs7(xuu3110000, xuu6000, caa, cab)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(ty_[], cda)) → new_esEs18(xuu3110000, xuu6000, cda)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_compare23(Right(xuu5000), Right(xuu5100), False, bdc, ga) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, ga), bdc, ga)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, bbd), bbe)) → new_esEs6(xuu50000, xuu51000, bbd, bbe)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_asAs(True, xuu149) → xuu149
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, bba), bbb), bbc)) → new_esEs5(xuu50000, xuu51000, bba, bbb, bbc)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, eb), ec)) → new_esEs6(xuu50001, xuu51001, eb, ec)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, cbe) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(ty_[], bac)) → new_ltEs17(xuu50000, xuu51000, bac)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, bgb)) → new_esEs11(xuu50001, xuu51001, bgb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_[], baf)) → new_ltEs17(xuu5000, xuu5100, baf)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, chc), gc) → new_ltEs6(xuu50000, xuu51000, chc)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, app(ty_Ratio, chd)) → new_ltEs6(xuu50000, xuu51000, chd)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_compare28(xuu50000, xuu51000, True, ca) → EQ
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, dae), daf), dag)) → new_esEs5(xuu3110000, xuu6000, dae, daf, dag)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, gc) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, hb), hc), gc) → new_ltEs19(xuu50000, xuu51000, hb, hc)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, ddg)) → new_lt7(xuu50000, xuu51000, ddg)
new_esEs23(xuu3110000, xuu6000, app(ty_[], daa)) → new_esEs18(xuu3110000, xuu6000, daa)
new_primCompAux00(xuu205, GT) → GT
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, cad)) → new_esEs11(xuu3110001, xuu6001, cad)
new_ltEs13(Right(xuu50000), Right(xuu51000), hd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), cch, app(app(app(ty_@3, cde), cdf), cdg)) → new_esEs5(xuu3110000, xuu6000, cde, cdf, cdg)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, gc) → new_ltEs14(xuu50000, xuu51000)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cee)) → new_esEs11(xuu3110000, xuu6000, cee)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, df)) → new_esEs4(xuu50001, xuu51001, df)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_lt14(xuu50000, xuu51000, cg, da) → new_esEs8(new_compare17(xuu50000, xuu51000, cg, da), LT)
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_not(True) → False
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Nothing, Just(x0), x1)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt5(x0, x1, ty_Double)
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs4(Just(x0), Nothing, x1)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Float)
new_esEs18([], [], x0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs22(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt5(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_[], x2))
new_ltEs15(True, True)
new_esEs23(x0, x1, ty_Double)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_primCompAux00(x0, LT)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_compare13(x0, x1, x2)
new_ltEs5(x0, x1, ty_Ordering)
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_compare10(x0, x1, True, x2, x3)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_@0)
new_compare113(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Int)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_esEs16(True, False)
new_esEs16(False, True)
new_esEs22(x0, x1, ty_Char)
new_compare26(x0, x1, False)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_compare24(Double(x0, x1), Double(x2, x3))
new_esEs24(x0, x1, ty_Char)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_compare10(x0, x1, False, x2, x3)
new_ltEs4(x0, x1, ty_Integer)
new_esEs16(True, True)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs18([], :(x0, x1), x2)
new_compare210(x0, x1, True, x2, x3)
new_lt20(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_lt5(x0, x1, app(ty_[], x2))
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_compare28(x0, x1, True, x2)
new_ltEs8(Nothing, Nothing, x0)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_primCompAux0(x0, x1, x2, x3)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs24(x0, x1, ty_Double)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs12(@0, @0)
new_ltEs4(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs9(x0, x1, ty_Float)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Bool)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs4(Nothing, Nothing, x0)
new_compare29(x0, x1, False, x2, x3, x4)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs24(x0, x1, ty_Float)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs26(x0, x1, ty_Double)
new_compare4([], :(x0, x1), x2)
new_lt7(x0, x1, x2)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare8(x0, x1, ty_Char)
new_compare11(x0, x1, True, x2, x3)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_lt14(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_primMulNat0(Zero, Succ(x0))
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs21(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_lt10(x0, x1, x2, x3, x4)
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_lt6(x0, x1, ty_Double)
new_ltEs4(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_compare8(x0, x1, ty_Int)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_compare27(x0, x1, False)
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs21(x0, x1, ty_Integer)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_compare112(x0, x1, False, x2)
new_lt8(x0, x1)
new_esEs25(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_compare18(Char(x0), Char(x1))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_primCmpNat2(Zero, Zero)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs5(x0, x1, app(ty_[], x2))
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_lt19(x0, x1, x2, x3)
new_compare26(x0, x1, True)
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs27(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_compare4([], [], x0)
new_compare8(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_compare110(x0, x1, True)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_@0)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs15(True, False)
new_ltEs15(False, True)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_primPlusNat0(Succ(x0), x1)
new_compare113(x0, x1, False, x2, x3)
new_primCmpNat2(Succ(x0), Succ(x1))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs6(x0, x1, x2)
new_esEs20(x0, x1, ty_Int)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_compare25(x0, x1, x2, x3)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_primPlusNat0(Zero, x0)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_primEqInt(Neg(Zero), Neg(Zero))
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs17(x0, x1, x2)
new_ltEs21(x0, x1, ty_@0)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_compare114(x0, x1, True, x2, x3, x4)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs15(Char(x0), Char(x1))
new_compare17(x0, x1, x2, x3)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_ltEs4(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_compare28(x0, x1, False, x2)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_compare112(x0, x1, True, x2)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_compare210(x0, x1, False, x2, x3)
new_primEqNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_ltEs10(x0, x1)
new_lt12(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_lt9(x0, x1, x2)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Pos(x0), Pos(x1))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_asAs(False, x0)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_compare11(x0, x1, False, x2, x3)
new_esEs20(x0, x1, ty_Integer)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs16(False, False)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_esEs26(x0, x1, app(ty_[], x2))
new_ltEs5(x0, x1, ty_Double)
new_esEs20(x0, x1, ty_@0)
new_lt18(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_compare4(:(x0, x1), [], x2)
new_lt15(x0, x1)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs21(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_@0)
new_compare8(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_compare114(x0, x1, False, x2, x3, x4)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_not(False)
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_pePe(False, x0)
new_compare19(x0, x1)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_ltEs4(x0, x1, ty_Char)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_ltEs16(x0, x1)
new_ltEs8(Nothing, Just(x0), x1)
new_ltEs20(x0, x1, ty_Int)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_lt6(x0, x1, ty_Char)
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_compare7(x0, x1)
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Zero)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_compare14(x0, x1, x2, x3, x4)
new_esEs21(x0, x1, ty_Char)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_esEs25(x0, x1, ty_Integer)
new_lt20(x0, x1, app(ty_[], x2))
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Integer)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_esEs18(:(x0, x1), [], x2)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_lt17(x0, x1)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_compare27(x0, x1, True)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_esEs21(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: 



↳ 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
                                    ↳ DependencyGraphProof
                                  ↳ QDP

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

new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C2(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Left(xuu600), new_esEs30(xuu311000, xuu600, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu38, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, h, ba, bb) → new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_esEs8(new_compare23(Left(xuu22), Left(xuu17), new_esEs29(xuu22, xuu17, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu21, Left(xuu22), xuu23, h, ba, bb)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu20, Left(xuu22), xuu23, h, ba, bb)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Right(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, bf, bg, bh) → new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, new_esEs8(new_compare23(Right(xuu39), Right(xuu34), new_esEs32(xuu39, xuu34, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu37, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Right(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C22(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Right(xuu600), new_esEs31(xuu311000, xuu600, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), LT), bc, bd, be)

The TRS R consists of the following rules:

new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs12(LT, GT) → True
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu311000, xuu600, dh, ea, eb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_ltEs12(LT, LT) → True
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, dcc)) → new_esEs11(xuu311000, xuu600, dcc)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_ltEs12(LT, EQ) → True
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_esEs32(xuu39, xuu34, app(ty_[], ca)) → new_esEs18(xuu39, xuu34, ca)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs12(@0, @0) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_pePe(False, xuu181) → xuu181
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_ltEs15(True, True) → True
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_ltEs15(False, True) → True
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs15(False, False) → True
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(ty_Maybe, da)) → new_esEs4(xuu39, xuu34, da)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs8(LT, LT) → True
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_esEs29(xuu22, xuu17, app(app(ty_@2, dca), dcb)) → new_esEs7(xuu22, xuu17, dca, dcb)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_pePe(True, xuu181) → True
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_primEqNat0(Zero, Zero) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(app(ty_@2, db), dc)) → new_esEs7(xuu39, xuu34, db, dc)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs8(GT, GT) → True
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_compare4([], [], bbf) → EQ
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, cdf)) → new_esEs4(xuu311000, xuu600, cdf)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_primCmpNat1(Zero, xuu5000) → LT
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs32(xuu39, xuu34, app(ty_Ratio, cb)) → new_esEs11(xuu39, xuu34, cb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_ltEs12(EQ, EQ) → True
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(xuu39, xuu34, ce, cf, cg)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_esEs8(EQ, EQ) → True
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_primCompAux00(xuu205, LT) → LT
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs12(GT, EQ) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCompAux00(xuu205, EQ) → xuu205
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, cah), bhe)) → new_esEs6(xuu311000, xuu600, cah, bhe)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_esEs30(xuu311000, xuu600, app(app(ty_@2, beg), beh)) → new_esEs7(xuu311000, xuu600, beg, beh)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_esEs31(xuu311000, xuu600, app(ty_[], dd)) → new_esEs18(xuu311000, xuu600, dd)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primCmpNat2(Zero, Zero) → EQ
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_compare110(xuu50000, xuu51000, True) → LT
new_ltEs12(EQ, GT) → True
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_compare110(xuu50000, xuu51000, False) → GT
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs4(Nothing, Nothing, cdf) → True
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_primCmpNat0(xuu5000, Zero) → GT
new_esEs29(xuu22, xuu17, app(app(ty_Either, dbc), dbd)) → new_esEs6(xuu22, xuu17, dbc, dbd)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs5(xuu22, xuu17, dbe, dbf, dbg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs16(True, True) → True
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, app(ty_[], ccc)) → new_esEs18(xuu311000, xuu600, ccc)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_asAs(False, xuu149) → False
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_esEs18([], [], ccc) → True
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_ltEs12(GT, GT) → True
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_compare27(xuu50000, xuu51000, True) → EQ
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(False, False) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, df), dg)) → new_esEs6(xuu311000, xuu600, df, dg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs12(EQ, LT) → False
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_esEs32(xuu39, xuu34, app(app(ty_Either, cc), cd)) → new_esEs6(xuu39, xuu34, cc, cd)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, ec)) → new_esEs4(xuu311000, xuu600, ec)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, de)) → new_esEs11(xuu311000, xuu600, de)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs29(xuu22, xuu17, app(ty_[], dba)) → new_esEs18(xuu22, xuu17, dba)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_asAs(True, xuu149) → xuu149
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs29(xuu22, xuu17, app(ty_Ratio, dbb)) → new_esEs11(xuu22, xuu17, dbb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xuu311000, xuu600, dcd, dce, dcf)
new_esEs29(xuu22, xuu17, app(ty_Maybe, dbh)) → new_esEs4(xuu22, xuu17, dbh)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_primCompAux00(xuu205, GT) → GT
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs12(GT, LT) → False
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, ed), ee)) → new_esEs7(xuu311000, xuu600, ed, ee)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_not(True) → False
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 2 SCCs.

↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                        ↳ QDP
                                  ↳ QDP

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

new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, bf, bg, bh) → new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, new_esEs8(new_compare23(Right(xuu39), Right(xuu34), new_esEs32(xuu39, xuu34, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu38, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Right(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu37, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C22(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Right(xuu600), new_esEs31(xuu311000, xuu600, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Right(xuu311000), xuu31101, bc, bd, be)

The TRS R consists of the following rules:

new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs12(LT, GT) → True
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu311000, xuu600, dh, ea, eb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_ltEs12(LT, LT) → True
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, dcc)) → new_esEs11(xuu311000, xuu600, dcc)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_ltEs12(LT, EQ) → True
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_esEs32(xuu39, xuu34, app(ty_[], ca)) → new_esEs18(xuu39, xuu34, ca)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs12(@0, @0) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_pePe(False, xuu181) → xuu181
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_ltEs15(True, True) → True
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_ltEs15(False, True) → True
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs15(False, False) → True
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(ty_Maybe, da)) → new_esEs4(xuu39, xuu34, da)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs8(LT, LT) → True
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_esEs29(xuu22, xuu17, app(app(ty_@2, dca), dcb)) → new_esEs7(xuu22, xuu17, dca, dcb)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_pePe(True, xuu181) → True
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_primEqNat0(Zero, Zero) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(app(ty_@2, db), dc)) → new_esEs7(xuu39, xuu34, db, dc)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs8(GT, GT) → True
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_compare4([], [], bbf) → EQ
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, cdf)) → new_esEs4(xuu311000, xuu600, cdf)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_primCmpNat1(Zero, xuu5000) → LT
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs32(xuu39, xuu34, app(ty_Ratio, cb)) → new_esEs11(xuu39, xuu34, cb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_ltEs12(EQ, EQ) → True
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(xuu39, xuu34, ce, cf, cg)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_esEs8(EQ, EQ) → True
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_primCompAux00(xuu205, LT) → LT
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs12(GT, EQ) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCompAux00(xuu205, EQ) → xuu205
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, cah), bhe)) → new_esEs6(xuu311000, xuu600, cah, bhe)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_esEs30(xuu311000, xuu600, app(app(ty_@2, beg), beh)) → new_esEs7(xuu311000, xuu600, beg, beh)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_esEs31(xuu311000, xuu600, app(ty_[], dd)) → new_esEs18(xuu311000, xuu600, dd)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primCmpNat2(Zero, Zero) → EQ
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_compare110(xuu50000, xuu51000, True) → LT
new_ltEs12(EQ, GT) → True
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_compare110(xuu50000, xuu51000, False) → GT
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs4(Nothing, Nothing, cdf) → True
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_primCmpNat0(xuu5000, Zero) → GT
new_esEs29(xuu22, xuu17, app(app(ty_Either, dbc), dbd)) → new_esEs6(xuu22, xuu17, dbc, dbd)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs5(xuu22, xuu17, dbe, dbf, dbg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs16(True, True) → True
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, app(ty_[], ccc)) → new_esEs18(xuu311000, xuu600, ccc)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_asAs(False, xuu149) → False
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_esEs18([], [], ccc) → True
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_ltEs12(GT, GT) → True
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_compare27(xuu50000, xuu51000, True) → EQ
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(False, False) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, df), dg)) → new_esEs6(xuu311000, xuu600, df, dg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs12(EQ, LT) → False
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_esEs32(xuu39, xuu34, app(app(ty_Either, cc), cd)) → new_esEs6(xuu39, xuu34, cc, cd)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, ec)) → new_esEs4(xuu311000, xuu600, ec)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, de)) → new_esEs11(xuu311000, xuu600, de)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs29(xuu22, xuu17, app(ty_[], dba)) → new_esEs18(xuu22, xuu17, dba)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_asAs(True, xuu149) → xuu149
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs29(xuu22, xuu17, app(ty_Ratio, dbb)) → new_esEs11(xuu22, xuu17, dbb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xuu311000, xuu600, dcd, dce, dcf)
new_esEs29(xuu22, xuu17, app(ty_Maybe, dbh)) → new_esEs4(xuu22, xuu17, dbh)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_primCompAux00(xuu205, GT) → GT
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs12(GT, LT) → False
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, ed), ee)) → new_esEs7(xuu311000, xuu600, ed, ee)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_not(True) → False
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                        ↳ QDP
                                  ↳ QDP

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

new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, bf, bg, bh) → new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, new_esEs8(new_compare23(Right(xuu39), Right(xuu34), new_esEs32(xuu39, xuu34, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu38, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Right(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu37, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C22(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Right(xuu600), new_esEs31(xuu311000, xuu600, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Right(xuu311000), xuu31101, bc, bd, be)

The TRS R consists of the following rules:

new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_[], ca)) → new_esEs18(xuu39, xuu34, ca)
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_Maybe, da)) → new_esEs4(xuu39, xuu34, da)
new_esEs32(xuu39, xuu34, app(app(ty_@2, db), dc)) → new_esEs7(xuu39, xuu34, db, dc)
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_Ratio, cb)) → new_esEs11(xuu39, xuu34, cb)
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(xuu39, xuu34, ce, cf, cg)
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(app(ty_Either, cc), cd)) → new_esEs6(xuu39, xuu34, cc, cd)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_not(False) → True
new_not(True) → False
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_primCmpNat0(xuu5000, Zero) → GT
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primCmpNat2(Zero, Zero) → EQ
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_primCmpNat1(Zero, xuu5000) → LT
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_asAs(False, xuu149) → False
new_asAs(True, xuu149) → xuu149
new_pePe(False, xuu181) → xuu181
new_pePe(True, xuu181) → True
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs15(True, True) → True
new_ltEs15(False, True) → True
new_ltEs15(False, False) → True
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_compare4([], [], bbf) → EQ
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_primCompAux00(xuu205, LT) → LT
new_primCompAux00(xuu205, EQ) → xuu205
new_primCompAux00(xuu205, GT) → GT
new_compare12(@0, @0) → EQ
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_esEs16(True, True) → True
new_esEs16(False, False) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_compare110(xuu50000, xuu51000, True) → LT
new_compare110(xuu50000, xuu51000, False) → GT
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs4(Nothing, Nothing, cdf) → True
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs12(@0, @0) → True
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs18([], [], ccc) → True
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, True) → EQ
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu311000, xuu600, dh, ea, eb)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(ty_[], dd)) → new_esEs18(xuu311000, xuu600, dd)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, df), dg)) → new_esEs6(xuu311000, xuu600, df, dg)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, ec)) → new_esEs4(xuu311000, xuu600, ec)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, de)) → new_esEs11(xuu311000, xuu600, de)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, ed), ee)) → new_esEs7(xuu311000, xuu600, ed, ee)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_esEs30(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs30(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_@0)
new_esEs30(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Float)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs29(x0, x1, ty_Bool)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_esEs30(x0, x1, ty_Double)
new_esEs30(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Int)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))



↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                                ↳ QDP
                                                  ↳ QDPSizeChangeProof
                                        ↳ QDP
                                  ↳ QDP

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

new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, bf, bg, bh) → new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, new_esEs8(new_compare23(Right(xuu39), Right(xuu34), new_esEs32(xuu39, xuu34, bg), bf, bg), GT), bf, bg, bh)
new_addToFM_C12(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu38, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C22(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, bf, bg, bh) → new_addToFM_C(xuu37, Right(xuu39), xuu40, bf, bg, bh)
new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Right(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C22(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Right(xuu600), new_esEs31(xuu311000, xuu600, bd), bc, bd), LT), bc, bd, be)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C11(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C21(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Right(xuu311000), xuu31101, bc, bd, be)

The TRS R consists of the following rules:

new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_[], ca)) → new_esEs18(xuu39, xuu34, ca)
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_Maybe, da)) → new_esEs4(xuu39, xuu34, da)
new_esEs32(xuu39, xuu34, app(app(ty_@2, db), dc)) → new_esEs7(xuu39, xuu34, db, dc)
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(ty_Ratio, cb)) → new_esEs11(xuu39, xuu34, cb)
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(xuu39, xuu34, ce, cf, cg)
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_esEs32(xuu39, xuu34, app(app(ty_Either, cc), cd)) → new_esEs6(xuu39, xuu34, cc, cd)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_not(False) → True
new_not(True) → False
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_primCmpNat0(xuu5000, Zero) → GT
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primCmpNat2(Zero, Zero) → EQ
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_primCmpNat1(Zero, xuu5000) → LT
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_primPlusNat1(Zero, Zero) → Zero
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_asAs(False, xuu149) → False
new_asAs(True, xuu149) → xuu149
new_pePe(False, xuu181) → xuu181
new_pePe(True, xuu181) → True
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs15(True, True) → True
new_ltEs15(False, True) → True
new_ltEs15(False, False) → True
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_compare4([], [], bbf) → EQ
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_primCompAux00(xuu205, LT) → LT
new_primCompAux00(xuu205, EQ) → xuu205
new_primCompAux00(xuu205, GT) → GT
new_compare12(@0, @0) → EQ
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_esEs16(True, True) → True
new_esEs16(False, False) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_compare110(xuu50000, xuu51000, True) → LT
new_compare110(xuu50000, xuu51000, False) → GT
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs4(Nothing, Nothing, cdf) → True
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs12(@0, @0) → True
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs18([], [], ccc) → True
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, True) → EQ
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu311000, xuu600, dh, ea, eb)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(ty_[], dd)) → new_esEs18(xuu311000, xuu600, dd)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, df), dg)) → new_esEs6(xuu311000, xuu600, df, dg)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, ec)) → new_esEs4(xuu311000, xuu600, ec)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, de)) → new_esEs11(xuu311000, xuu600, de)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, ed), ee)) → new_esEs7(xuu311000, xuu600, ed, ee)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(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: 



↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                  ↳ QDP

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

new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C2(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Left(xuu600), new_esEs30(xuu311000, xuu600, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, h, ba, bb) → new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_esEs8(new_compare23(Left(xuu22), Left(xuu17), new_esEs29(xuu22, xuu17, h), h, ba), GT), h, ba, bb)
new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu21, Left(xuu22), xuu23, h, ba, bb)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu20, Left(xuu22), xuu23, h, ba, bb)

The TRS R consists of the following rules:

new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs15(True, False) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs12(LT, GT) → True
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, dh), ea), eb)) → new_esEs5(xuu311000, xuu600, dh, ea, eb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_ltEs12(LT, LT) → True
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, dcc)) → new_esEs11(xuu311000, xuu600, dcc)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_ltEs12(LT, EQ) → True
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_esEs32(xuu39, xuu34, app(ty_[], ca)) → new_esEs18(xuu39, xuu34, ca)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs12(@0, @0) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_pePe(False, xuu181) → xuu181
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_ltEs15(True, True) → True
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_ltEs15(False, True) → True
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs15(False, False) → True
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(ty_Maybe, da)) → new_esEs4(xuu39, xuu34, da)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs8(LT, LT) → True
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_esEs29(xuu22, xuu17, app(app(ty_@2, dca), dcb)) → new_esEs7(xuu22, xuu17, dca, dcb)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_pePe(True, xuu181) → True
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_primEqNat0(Zero, Zero) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(app(ty_@2, db), dc)) → new_esEs7(xuu39, xuu34, db, dc)
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs8(GT, GT) → True
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_compare4([], [], bbf) → EQ
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs8(GT, LT) → False
new_esEs8(LT, GT) → False
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, cdf)) → new_esEs4(xuu311000, xuu600, cdf)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_primCmpNat1(Zero, xuu5000) → LT
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs32(xuu39, xuu34, app(ty_Ratio, cb)) → new_esEs11(xuu39, xuu34, cb)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_ltEs12(EQ, EQ) → True
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, ce), cf), cg)) → new_esEs5(xuu39, xuu34, ce, cf, cg)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_esEs8(EQ, EQ) → True
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_primCompAux00(xuu205, LT) → LT
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs12(GT, EQ) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCompAux00(xuu205, EQ) → xuu205
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_esEs8(GT, EQ) → False
new_esEs8(EQ, GT) → False
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, cah), bhe)) → new_esEs6(xuu311000, xuu600, cah, bhe)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_esEs30(xuu311000, xuu600, app(app(ty_@2, beg), beh)) → new_esEs7(xuu311000, xuu600, beg, beh)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_esEs31(xuu311000, xuu600, app(ty_[], dd)) → new_esEs18(xuu311000, xuu600, dd)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primCmpNat2(Zero, Zero) → EQ
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_compare110(xuu50000, xuu51000, True) → LT
new_ltEs12(EQ, GT) → True
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_compare110(xuu50000, xuu51000, False) → GT
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs4(Nothing, Nothing, cdf) → True
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_primCmpNat0(xuu5000, Zero) → GT
new_esEs29(xuu22, xuu17, app(app(ty_Either, dbc), dbd)) → new_esEs6(xuu22, xuu17, dbc, dbd)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs5(xuu22, xuu17, dbe, dbf, dbg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs16(True, True) → True
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, app(ty_[], ccc)) → new_esEs18(xuu311000, xuu600, ccc)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_asAs(False, xuu149) → False
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_esEs18([], [], ccc) → True
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_ltEs12(GT, GT) → True
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_compare27(xuu50000, xuu51000, True) → EQ
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(False, False) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, df), dg)) → new_esEs6(xuu311000, xuu600, df, dg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs12(EQ, LT) → False
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_esEs32(xuu39, xuu34, app(app(ty_Either, cc), cd)) → new_esEs6(xuu39, xuu34, cc, cd)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, ec)) → new_esEs4(xuu311000, xuu600, ec)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, de)) → new_esEs11(xuu311000, xuu600, de)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs29(xuu22, xuu17, app(ty_[], dba)) → new_esEs18(xuu22, xuu17, dba)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_asAs(True, xuu149) → xuu149
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs29(xuu22, xuu17, app(ty_Ratio, dbb)) → new_esEs11(xuu22, xuu17, dbb)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xuu311000, xuu600, dcd, dce, dcf)
new_esEs29(xuu22, xuu17, app(ty_Maybe, dbh)) → new_esEs4(xuu22, xuu17, dbh)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_primCompAux00(xuu205, GT) → GT
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs12(GT, LT) → False
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, ed), ee)) → new_esEs7(xuu311000, xuu600, ed, ee)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_not(True) → False
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [15] we can delete all non-usable rules [17] from R.

↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                  ↳ QDP

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

new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C2(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Left(xuu600), new_esEs30(xuu311000, xuu600, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, h, ba, bb) → new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_esEs8(new_compare23(Left(xuu22), Left(xuu17), new_esEs29(xuu22, xuu17, h), h, ba), GT), h, ba, bb)
new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu21, Left(xuu22), xuu23, h, ba, bb)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu20, Left(xuu22), xuu23, h, ba, bb)

The TRS R consists of the following rules:

new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_esEs29(xuu22, xuu17, app(app(ty_@2, dca), dcb)) → new_esEs7(xuu22, xuu17, dca, dcb)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_esEs29(xuu22, xuu17, app(app(ty_Either, dbc), dbd)) → new_esEs6(xuu22, xuu17, dbc, dbd)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs5(xuu22, xuu17, dbe, dbf, dbg)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_esEs29(xuu22, xuu17, app(ty_[], dba)) → new_esEs18(xuu22, xuu17, dba)
new_esEs29(xuu22, xuu17, app(ty_Ratio, dbb)) → new_esEs11(xuu22, xuu17, dbb)
new_esEs29(xuu22, xuu17, app(ty_Maybe, dbh)) → new_esEs4(xuu22, xuu17, dbh)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_not(False) → True
new_not(True) → False
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_primCmpNat0(xuu5000, Zero) → GT
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primCmpNat2(Zero, Zero) → EQ
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_primCmpNat1(Zero, xuu5000) → LT
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_compare4([], [], bbf) → EQ
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_primCompAux00(xuu205, LT) → LT
new_primCompAux00(xuu205, EQ) → xuu205
new_primCompAux00(xuu205, GT) → GT
new_compare12(@0, @0) → EQ
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_esEs16(True, True) → True
new_esEs16(False, False) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_ltEs15(True, False) → False
new_ltEs15(True, True) → True
new_ltEs15(False, True) → True
new_ltEs15(False, False) → True
new_compare110(xuu50000, xuu51000, True) → LT
new_compare110(xuu50000, xuu51000, False) → GT
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_primPlusNat1(Zero, Zero) → Zero
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_asAs(False, xuu149) → False
new_asAs(True, xuu149) → xuu149
new_pePe(False, xuu181) → xuu181
new_pePe(True, xuu181) → True
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs4(Nothing, Nothing, cdf) → True
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs12(@0, @0) → True
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs18([], [], ccc) → True
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, True) → EQ
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, dcc)) → new_esEs11(xuu311000, xuu600, dcc)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, cdf)) → new_esEs4(xuu311000, xuu600, cdf)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, cah), bhe)) → new_esEs6(xuu311000, xuu600, cah, bhe)
new_esEs30(xuu311000, xuu600, app(app(ty_@2, beg), beh)) → new_esEs7(xuu311000, xuu600, beg, beh)
new_esEs30(xuu311000, xuu600, app(ty_[], ccc)) → new_esEs18(xuu311000, xuu600, ccc)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xuu311000, xuu600, dcd, dce, dcf)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs31(x0, x1, ty_Bool)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs32(x0, x1, ty_Ordering)
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_esEs32(x0, x1, app(ty_[], x2))
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_esEs32(x0, x1, ty_Float)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs31(x0, x1, ty_Int)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs32(x0, x1, ty_Bool)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs31(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(x0, x1, ty_Int)

We have to consider all minimal (P,Q,R)-chains.
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.

new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_@0)
new_esEs32(x0, x1, ty_Char)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Bool)
new_esEs32(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Double)
new_esEs32(x0, x1, ty_Int)
new_esEs32(x0, x1, ty_Integer)
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Char)
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs32(x0, x1, ty_Float)
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs31(x0, x1, ty_Int)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Bool)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs31(x0, x1, ty_Ordering)
new_esEs31(x0, x1, ty_Double)



↳ 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
                                    ↳ DependencyGraphProof
                                      ↳ AND
                                        ↳ QDP
                                        ↳ QDP
                                          ↳ UsableRulesProof
                                            ↳ QDP
                                              ↳ QReductionProof
                                                ↳ QDP
                                                  ↳ QDPSizeChangeProof
                                  ↳ QDP

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

new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu63, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C2(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Left(xuu600), new_esEs30(xuu311000, xuu600, bc), bc, bd), LT), bc, bd, be)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, h, ba, bb) → new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_esEs8(new_compare23(Left(xuu22), Left(xuu17), new_esEs29(xuu22, xuu17, h), h, ba), GT), h, ba, bb)
new_addToFM_C(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, bc, bd, be) → new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), LT), bc, bd, be)
new_addToFM_C20(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, bc, bd, be) → new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, bc, bd), GT), bc, bd, be)
new_addToFM_C10(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, bc, bd, be) → new_addToFM_C(xuu64, Left(xuu311000), xuu31101, bc, bd, be)
new_addToFM_C1(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu21, Left(xuu22), xuu23, h, ba, bb)
new_addToFM_C2(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, h, ba, bb) → new_addToFM_C(xuu20, Left(xuu22), xuu23, h, ba, bb)

The TRS R consists of the following rules:

new_compare23(Left(xuu5000), Right(xuu5100), False, bah, bba) → LT
new_esEs8(GT, GT) → True
new_esEs8(LT, GT) → False
new_esEs8(EQ, GT) → False
new_esEs29(xuu22, xuu17, app(app(ty_@2, dca), dcb)) → new_esEs7(xuu22, xuu17, dca, dcb)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_esEs29(xuu22, xuu17, app(app(ty_Either, dbc), dbd)) → new_esEs6(xuu22, xuu17, dbc, dbd)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, dbe), dbf), dbg)) → new_esEs5(xuu22, xuu17, dbe, dbf, dbg)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_esEs29(xuu22, xuu17, app(ty_[], dba)) → new_esEs18(xuu22, xuu17, dba)
new_esEs29(xuu22, xuu17, app(ty_Ratio, dbb)) → new_esEs11(xuu22, xuu17, dbb)
new_esEs29(xuu22, xuu17, app(ty_Maybe, dbh)) → new_esEs4(xuu22, xuu17, dbh)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_compare23(Left(xuu5000), Left(xuu5100), False, bah, bba) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, bah), bah, bba)
new_compare23(xuu500, xuu510, True, bah, bba) → EQ
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, ef), eg), eh)) → new_ltEs9(xuu5000, xuu5100, ef, eg, eh)
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, bbc)) → new_ltEs8(xuu5000, xuu5100, bbc)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bbd), bbe)) → new_ltEs13(xuu5000, xuu5100, bbd, bbe)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, bbg), bbh)) → new_ltEs19(xuu5000, xuu5100, bbg, bbh)
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, bbb)) → new_ltEs6(xuu5000, xuu5100, bbb)
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bbf)) → new_ltEs17(xuu5000, xuu5100, bbf)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_compare10(xuu154, xuu155, True, bee, bef) → LT
new_compare10(xuu154, xuu155, False, bee, bef) → GT
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_not(False) → True
new_not(True) → False
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_primCmpNat0(xuu5000, Zero) → GT
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_primCmpNat2(Zero, Zero) → EQ
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_primCmpNat1(Zero, xuu5000) → LT
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_ltEs12(LT, GT) → True
new_ltEs12(LT, LT) → True
new_ltEs12(LT, EQ) → True
new_ltEs12(EQ, EQ) → True
new_ltEs12(GT, EQ) → False
new_ltEs12(EQ, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs12(EQ, LT) → False
new_ltEs12(GT, LT) → False
new_ltEs17(xuu5000, xuu5100, bbf) → new_fsEs(new_compare4(xuu5000, xuu5100, bbf))
new_compare4([], [], bbf) → EQ
new_compare4(:(xuu50000, xuu50001), [], bbf) → GT
new_compare4([], :(xuu51000, xuu51001), bbf) → LT
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bbf) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bbf), bbf)
new_primCompAux0(xuu50000, xuu51000, xuu191, bbf) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bbf))
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(ty_@2, bec), bed)) → new_compare25(xuu50000, xuu51000, bec, bed)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, bdd)) → new_compare13(xuu50000, xuu51000, bdd)
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_[], beb)) → new_compare4(xuu50000, xuu51000, beb)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, bdh), bea)) → new_compare17(xuu50000, xuu51000, bdh, bea)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bdc)) → new_compare9(xuu50000, xuu51000, bdc)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bde), bdf), bdg)) → new_compare14(xuu50000, xuu51000, bde, bdf, bdg)
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_primCompAux00(xuu205, LT) → LT
new_primCompAux00(xuu205, EQ) → xuu205
new_primCompAux00(xuu205, GT) → GT
new_compare12(@0, @0) → EQ
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_esEs16(True, False) → False
new_esEs16(False, True) → False
new_esEs16(True, True) → True
new_esEs16(False, False) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_ltEs15(True, False) → False
new_ltEs15(True, True) → True
new_ltEs15(False, True) → True
new_ltEs15(False, False) → True
new_compare110(xuu50000, xuu51000, True) → LT
new_compare110(xuu50000, xuu51000, False) → GT
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_primPlusNat1(Zero, Zero) → Zero
new_compare14(xuu50000, xuu51000, fc, fd, ff) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), dcd, dce, dcf) → new_asAs(new_esEs23(xuu3110000, xuu6000, dcd), new_asAs(new_esEs24(xuu3110001, xuu6001, dce), new_esEs25(xuu3110002, xuu6002, dcf)))
new_compare29(xuu50000, xuu51000, True, fc, fd, ff) → EQ
new_compare29(xuu50000, xuu51000, False, fc, fd, ff) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, fc, fd, ff), fc, fd, ff)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), ef, eg, eh) → new_pePe(new_lt5(xuu50000, xuu51000, ef), new_asAs(new_esEs9(xuu50000, xuu51000, ef), new_pePe(new_lt6(xuu50001, xuu51001, eg), new_asAs(new_esEs10(xuu50001, xuu51001, eg), new_ltEs20(xuu50002, xuu51002, eh)))))
new_compare114(xuu50000, xuu51000, False, fc, fd, ff) → GT
new_compare114(xuu50000, xuu51000, True, fc, fd, ff) → LT
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_lt7(xuu50000, xuu51000, fa)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_lt10(xuu50000, xuu51000, fc, fd, ff)
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_lt9(xuu50000, xuu51000, fb)
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_lt14(xuu50000, xuu51000, fg, fh)
new_lt5(xuu50000, xuu51000, app(ty_[], ga)) → new_lt18(xuu50000, xuu51000, ga)
new_lt5(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_lt19(xuu50000, xuu51000, gb, gc)
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ga)) → new_esEs18(xuu50000, xuu51000, ga)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, fa)) → new_esEs11(xuu50000, xuu51000, fa)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, gb), gc)) → new_esEs7(xuu50000, xuu51000, gb, gc)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, fg), fh)) → new_esEs6(xuu50000, xuu51000, fg, fh)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, fc), fd), ff)) → new_esEs5(xuu50000, xuu51000, fc, fd, ff)
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, fb)) → new_esEs4(xuu50000, xuu51000, fb)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_lt10(xuu50001, xuu51001, gf, gg, gh)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_lt19(xuu50001, xuu51001, hd, he)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_lt14(xuu50001, xuu51001, ha, hb)
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_lt7(xuu50001, xuu51001, gd)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_lt9(xuu50001, xuu51001, ge)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_lt6(xuu50001, xuu51001, app(ty_[], hc)) → new_lt18(xuu50001, xuu51001, hc)
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, gf), gg), gh)) → new_esEs5(xuu50001, xuu51001, gf, gg, gh)
new_esEs10(xuu50001, xuu51001, app(ty_[], hc)) → new_esEs18(xuu50001, xuu51001, hc)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, hd), he)) → new_esEs7(xuu50001, xuu51001, hd, he)
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, ha), hb)) → new_esEs6(xuu50001, xuu51001, ha, hb)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, gd)) → new_esEs11(xuu50001, xuu51001, gd)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ge)) → new_esEs4(xuu50001, xuu51001, ge)
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, hg)) → new_ltEs8(xuu50002, xuu51002, hg)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, baf), bag)) → new_ltEs19(xuu50002, xuu51002, baf, bag)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, bac), bad)) → new_ltEs13(xuu50002, xuu51002, bac, bad)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, hh), baa), bab)) → new_ltEs9(xuu50002, xuu51002, hh, baa, bab)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_[], bae)) → new_ltEs17(xuu50002, xuu51002, bae)
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, hf)) → new_ltEs6(xuu50002, xuu51002, hf)
new_asAs(False, xuu149) → False
new_asAs(True, xuu149) → xuu149
new_pePe(False, xuu181) → xuu181
new_pePe(True, xuu181) → True
new_ltEs6(xuu5000, xuu5100, bbb) → new_fsEs(new_compare9(xuu5000, xuu5100, bbb))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bbe) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], cgb), bbe) → new_ltEs17(xuu50000, xuu51000, cgb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_@2, che), chf)) → new_ltEs19(xuu50000, xuu51000, che, chf)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, dad), dae)) → new_ltEs13(xuu50000, xuu51000, dad, dae)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, chh)) → new_ltEs8(xuu50000, xuu51000, chh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(ty_Either, chb), chc)) → new_ltEs13(xuu50000, xuu51000, chb, chc)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, cfd), bbe) → new_ltEs8(xuu50000, xuu51000, cfd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, cfh), cga), bbe) → new_ltEs13(xuu50000, xuu51000, cfh, cga)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Maybe, cgf)) → new_ltEs8(xuu50000, xuu51000, cgf)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, cfe), cff), cfg), bbe) → new_ltEs9(xuu50000, xuu51000, cfe, cff, cfg)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(app(app(ty_@3, cgg), cgh), cha)) → new_ltEs9(xuu50000, xuu51000, cgg, cgh, cha)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bbe) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bbe) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bbe) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bbe) → new_ltEs10(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bbe) → new_ltEs7(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Right(xuu51000), bbd, bbe) → True
new_ltEs13(Right(xuu50000), Left(xuu51000), bbd, bbe) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_[], chd)) → new_ltEs17(xuu50000, xuu51000, chd)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, cfc), bbe) → new_ltEs6(xuu50000, xuu51000, cfc)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, app(ty_Ratio, cge)) → new_ltEs6(xuu50000, xuu51000, cge)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bbe) → new_ltEs15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, cgc), cgd), bbe) → new_ltEs19(xuu50000, xuu51000, cgc, cgd)
new_ltEs13(Right(xuu50000), Right(xuu51000), bbd, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bbe) → new_ltEs14(xuu50000, xuu51000)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), bbg, bbh) → new_pePe(new_lt20(xuu50000, xuu51000, bbg), new_asAs(new_esEs26(xuu50000, xuu51000, bbg), new_ltEs21(xuu50001, xuu51001, bbh)))
new_lt20(xuu50000, xuu51000, app(ty_[], dhd)) → new_lt18(xuu50000, xuu51000, dhd)
new_lt20(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_lt14(xuu50000, xuu51000, dhb, dhc)
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_lt10(xuu50000, xuu51000, dgg, dgh, dha)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_lt19(xuu50000, xuu51000, dhe, dhf)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_lt9(xuu50000, xuu51000, dgf)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_lt7(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, dgf)) → new_esEs4(xuu50000, xuu51000, dgf)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dhd)) → new_esEs18(xuu50000, xuu51000, dhd)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dhe), dhf)) → new_esEs7(xuu50000, xuu51000, dhe, dhf)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, dge)) → new_esEs11(xuu50000, xuu51000, dge)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, dhb), dhc)) → new_esEs6(xuu50000, xuu51000, dhb, dhc)
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, dgg), dgh), dha)) → new_esEs5(xuu50000, xuu51000, dgg, dgh, dha)
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_[], eaf)) → new_ltEs17(xuu50001, xuu51001, eaf)
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dhg)) → new_ltEs6(xuu50001, xuu51001, dhg)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, ead), eae)) → new_ltEs13(xuu50001, xuu51001, ead, eae)
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, dhh)) → new_ltEs8(xuu50001, xuu51001, dhh)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, eaa), eab), eac)) → new_ltEs9(xuu50001, xuu51001, eaa, eab, eac)
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, eag), eah)) → new_ltEs19(xuu50001, xuu51001, eag, eah)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, daa), dab), dac)) → new_ltEs9(xuu50000, xuu51000, daa, dab, dac)
new_ltEs8(Nothing, Just(xuu51000), bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Nothing, bbc) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, chg)) → new_ltEs6(xuu50000, xuu51000, chg)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, dag), dah)) → new_ltEs19(xuu50000, xuu51000, dag, dah)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], daf)) → new_ltEs17(xuu50000, xuu51000, daf)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, bbc) → True
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_@2, cca), ccb)) → new_esEs7(xuu3110000, xuu6000, cca, ccb)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Ratio, cbb)) → new_esEs11(xuu3110000, xuu6000, cbb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, bhe) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Left(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Right(xuu6000), cah, bhe) → False
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, bhe) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, bhe) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, cab), cac), cad), bhe) → new_esEs5(xuu3110000, xuu6000, cab, cac, cad)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, caf), cag), bhe) → new_esEs7(xuu3110000, xuu6000, caf, cag)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bhf), bhe) → new_esEs18(xuu3110000, xuu6000, bhf)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, bhe) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bhg), bhe) → new_esEs11(xuu3110000, xuu6000, bhg)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, bhe) → new_esEs15(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, bhe) → new_esEs19(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, bhe) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_[], cba)) → new_esEs18(xuu3110000, xuu6000, cba)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, bhe) → new_esEs12(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(app(ty_@3, cbe), cbf), cbg)) → new_esEs5(xuu3110000, xuu6000, cbe, cbf, cbg)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, cea), ceb)) → new_esEs6(xuu3110000, xuu6000, cea, ceb)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, cef)) → new_esEs4(xuu3110000, xuu6000, cef)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, cae), bhe) → new_esEs4(xuu3110000, xuu6000, cae)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(ty_Maybe, cbh)) → new_esEs4(xuu3110000, xuu6000, cbh)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bhh), caa), bhe) → new_esEs6(xuu3110000, xuu6000, bhh, caa)
new_esEs6(Right(xuu3110000), Right(xuu6000), cah, app(app(ty_Either, cbc), cbd)) → new_esEs6(xuu3110000, xuu6000, cbc, cbd)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Nothing, cdf) → False
new_esEs4(Nothing, Just(xuu6000), cdf) → False
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, cec), ced), cee)) → new_esEs5(xuu3110000, xuu6000, cec, ced, cee)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, cdh)) → new_esEs11(xuu3110000, xuu6000, cdh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs4(Nothing, Nothing, cdf) → True
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], cdg)) → new_esEs18(xuu3110000, xuu6000, cdg)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, ceg), ceh)) → new_esEs7(xuu3110000, xuu6000, ceg, ceh)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), beg, beh) → new_asAs(new_esEs20(xuu3110000, xuu6000, beg), new_esEs21(xuu3110001, xuu6001, beh))
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, bfh)) → new_esEs4(xuu3110000, xuu6000, bfh)
new_esEs20(xuu3110000, xuu6000, app(ty_[], bfa)) → new_esEs18(xuu3110000, xuu6000, bfa)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, bfb)) → new_esEs11(xuu3110000, xuu6000, bfb)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, bfe), bff), bfg)) → new_esEs5(xuu3110000, xuu6000, bfe, bff, bfg)
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, bfc), bfd)) → new_esEs6(xuu3110000, xuu6000, bfc, bfd)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, bga), bgb)) → new_esEs7(xuu3110000, xuu6000, bga, bgb)
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, bge), bgf)) → new_esEs6(xuu3110001, xuu6001, bge, bgf)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_[], bgc)) → new_esEs18(xuu3110001, xuu6001, bgc)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, bhc), bhd)) → new_esEs7(xuu3110001, xuu6001, bhc, bhd)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, bgg), bgh), bha)) → new_esEs5(xuu3110001, xuu6001, bgg, bgh, bha)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, bhb)) → new_esEs4(xuu3110001, xuu6001, bhb)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, bgd)) → new_esEs11(xuu3110001, xuu6001, bgd)
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), dcc) → new_asAs(new_esEs27(xuu3110000, xuu6000, dcc), new_esEs28(xuu3110001, xuu6001, dcc))
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_esEs8(LT, LT) → True
new_esEs8(GT, LT) → False
new_esEs8(EQ, EQ) → True
new_esEs8(EQ, LT) → False
new_esEs8(LT, EQ) → False
new_esEs8(GT, EQ) → False
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs12(@0, @0) → True
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs18([], :(xuu6000, xuu6001), ccc) → False
new_esEs18(:(xuu3110000, xuu3110001), [], ccc) → False
new_esEs18([], [], ccc) → True
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), ccc) → new_asAs(new_esEs22(xuu3110000, xuu6000, ccc), new_esEs18(xuu3110001, xuu6001, ccc))
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, cdd), cde)) → new_esEs7(xuu3110000, xuu6000, cdd, cde)
new_esEs22(xuu3110000, xuu6000, app(ty_[], ccd)) → new_esEs18(xuu3110000, xuu6000, ccd)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs5(xuu3110000, xuu6000, cch, cda, cdb)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, cdc)) → new_esEs4(xuu3110000, xuu6000, cdc)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, ccf), ccg)) → new_esEs6(xuu3110000, xuu6000, ccf, ccg)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, cce)) → new_esEs11(xuu3110000, xuu6000, cce)
new_lt7(xuu50000, xuu51000, fa) → new_esEs8(new_compare9(xuu50000, xuu51000, fa), LT)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_lt9(xuu50000, xuu51000, fb) → new_esEs8(new_compare13(xuu50000, xuu51000, fb), LT)
new_compare13(xuu50000, xuu51000, fb) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, False, fb) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, fb), fb)
new_compare28(xuu50000, xuu51000, True, fb) → EQ
new_compare112(xuu50000, xuu51000, True, fb) → LT
new_compare112(xuu50000, xuu51000, False, fb) → GT
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_compare27(xuu50000, xuu51000, True) → EQ
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_lt19(xuu50000, xuu51000, gb, gc) → new_esEs8(new_compare25(xuu50000, xuu51000, gb, gc), LT)
new_compare25(xuu50000, xuu51000, gb, gc) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, False, gb, gc) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, gb, gc), gb, gc)
new_compare210(xuu50000, xuu51000, True, gb, gc) → EQ
new_compare113(xuu50000, xuu51000, True, gb, gc) → LT
new_compare113(xuu50000, xuu51000, False, gb, gc) → GT
new_lt10(xuu50000, xuu51000, fc, fd, ff) → new_esEs8(new_compare14(xuu50000, xuu51000, fc, fd, ff), LT)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_lt14(xuu50000, xuu51000, fg, fh) → new_esEs8(new_compare17(xuu50000, xuu51000, fg, fh), LT)
new_compare17(xuu50000, xuu51000, fg, fh) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, fg, fh), fg, fh)
new_compare23(Right(xuu5000), Left(xuu5100), False, bah, bba) → GT
new_compare23(Right(xuu5000), Right(xuu5100), False, bah, bba) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, bba), bah, bba)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, bda), bdb)) → new_ltEs19(xuu5000, xuu5100, bda, bdb)
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, bcb)) → new_ltEs8(xuu5000, xuu5100, bcb)
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, app(ty_[], bch)) → new_ltEs17(xuu5000, xuu5100, bch)
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, bca)) → new_ltEs6(xuu5000, xuu5100, bca)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, bcf), bcg)) → new_ltEs13(xuu5000, xuu5100, bcf, bcg)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, bcc), bcd), bce)) → new_ltEs9(xuu5000, xuu5100, bcc, bcd, bce)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_compare11(xuu161, xuu162, True, cfa, cfb) → LT
new_compare11(xuu161, xuu162, False, cfa, cfb) → GT
new_lt18(xuu50000, xuu51000, ga) → new_esEs8(new_compare4(xuu50000, xuu51000, ga), LT)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ddf)) → new_esEs4(xuu3110000, xuu6000, ddf)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, dda), ddb)) → new_esEs6(xuu3110000, xuu6000, dda, ddb)
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, dch)) → new_esEs11(xuu3110000, xuu6000, dch)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, ddg), ddh)) → new_esEs7(xuu3110000, xuu6000, ddg, ddh)
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, ddc), ddd), dde)) → new_esEs5(xuu3110000, xuu6000, ddc, ddd, dde)
new_esEs23(xuu3110000, xuu6000, app(ty_[], dcg)) → new_esEs18(xuu3110000, xuu6000, dcg)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, dee), def), deg)) → new_esEs5(xuu3110001, xuu6001, dee, def, deg)
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, deh)) → new_esEs4(xuu3110001, xuu6001, deh)
new_esEs24(xuu3110001, xuu6001, app(ty_[], dea)) → new_esEs18(xuu3110001, xuu6001, dea)
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, dfa), dfb)) → new_esEs7(xuu3110001, xuu6001, dfa, dfb)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, deb)) → new_esEs11(xuu3110001, xuu6001, deb)
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, dec), ded)) → new_esEs6(xuu3110001, xuu6001, dec, ded)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, dfe), dff)) → new_esEs6(xuu3110002, xuu6002, dfe, dff)
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, dgc), dgd)) → new_esEs7(xuu3110002, xuu6002, dgc, dgd)
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_[], dfc)) → new_esEs18(xuu3110002, xuu6002, dfc)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, dgb)) → new_esEs4(xuu3110002, xuu6002, dgb)
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, dfd)) → new_esEs11(xuu3110002, xuu6002, dfd)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, dfg), dfh), dga)) → new_esEs5(xuu3110002, xuu6002, dfg, dfh, dga)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, dcc)) → new_esEs11(xuu311000, xuu600, dcc)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, cdf)) → new_esEs4(xuu311000, xuu600, cdf)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, cah), bhe)) → new_esEs6(xuu311000, xuu600, cah, bhe)
new_esEs30(xuu311000, xuu600, app(app(ty_@2, beg), beh)) → new_esEs7(xuu311000, xuu600, beg, beh)
new_esEs30(xuu311000, xuu600, app(ty_[], ccc)) → new_esEs18(xuu311000, xuu600, ccc)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, dcd), dce), dcf)) → new_esEs5(xuu311000, xuu600, dcd, dce, dcf)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_ltEs8(Nothing, Nothing, x0)
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_esEs23(x0, x1, ty_Int)
new_primEqNat0(Zero, Succ(x0))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs26(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_ltEs12(LT, LT)
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt5(x0, x1, ty_Double)
new_compare8(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_lt14(x0, x1, x2, x3)
new_ltEs4(x0, x1, ty_Bool)
new_compare23(x0, x1, True, x2, x3)
new_esEs28(x0, x1, ty_Int)
new_ltEs8(Just(x0), Nothing, x1)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_primPlusNat1(Succ(x0), Zero)
new_lt9(x0, x1, x2)
new_compare17(x0, x1, x2, x3)
new_esEs25(x0, x1, ty_Double)
new_primCmpNat0(x0, Zero)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_lt5(x0, x1, ty_Bool)
new_ltEs21(x0, x1, ty_Float)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_lt18(x0, x1, x2)
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs30(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_ltEs15(True, True)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Double)
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_primCompAux00(x0, LT)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Ordering)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_asAs(True, x0)
new_ltEs15(False, False)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(LT, LT)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs18([], :(x0, x1), x2)
new_esEs20(x0, x1, ty_Double)
new_lt5(x0, x1, ty_Integer)
new_compare29(x0, x1, True, x2, x3, x4)
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs23(x0, x1, ty_@0)
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(False, True)
new_esEs16(True, False)
new_esEs22(x0, x1, ty_Char)
new_esEs23(x0, x1, app(ty_[], x2))
new_compare26(x0, x1, False)
new_compare114(x0, x1, True, x2, x3, x4)
new_lt7(x0, x1, x2)
new_esEs30(x0, x1, ty_@0)
new_compare24(Double(x0, x1), Double(x2, x3))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Char)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs8(GT, LT)
new_esEs8(LT, GT)
new_ltEs4(x0, x1, ty_Integer)
new_esEs16(True, True)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Char)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_Integer)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(ty_[], x2))
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_compare11(x0, x1, True, x2, x3)
new_esEs30(x0, x1, ty_Integer)
new_primEqNat0(Zero, Zero)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_compare25(x0, x1, x2, x3)
new_primPlusNat1(Succ(x0), Succ(x1))
new_lt20(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, app(ty_[], x2))
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_primMulInt(Neg(x0), Pos(x1))
new_primMulInt(Pos(x0), Neg(x1))
new_esEs29(x0, x1, ty_Double)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs12(@0, @0)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_compare210(x0, x1, True, x2, x3)
new_esEs9(x0, x1, ty_Float)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs20(x0, x1, ty_Bool)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_Float)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Double)
new_esEs10(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare10(x0, x1, False, x2, x3)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_esEs18([], [], x0)
new_ltEs4(x0, x1, ty_Int)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_ltEs5(x0, x1, app(ty_[], x2))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_ltEs17(x0, x1, x2)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs23(x0, x1, ty_Bool)
new_esEs23(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_Bool)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_compare27(x0, x1, False)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs21(x0, x1, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare28(x0, x1, True, x2)
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, ty_Integer)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs21(x0, x1, ty_Integer)
new_lt10(x0, x1, x2, x3, x4)
new_lt8(x0, x1)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs25(x0, x1, ty_Char)
new_ltEs6(x0, x1, x2)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_primCmpNat2(Zero, Zero)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_compare13(x0, x1, x2)
new_compare8(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Int)
new_compare26(x0, x1, True)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs27(x0, x1, ty_Integer)
new_compare4([], :(x0, x1), x2)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_primCompAux00(x0, GT)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare112(x0, x1, True, x2)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs22(x0, x1, ty_@0)
new_lt6(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, True)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare113(x0, x1, True, x2, x3)
new_lt6(x0, x1, ty_@0)
new_primPlusNat1(Zero, Succ(x0))
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_primCompAux0(x0, x1, x2, x3)
new_ltEs15(True, False)
new_ltEs15(False, True)
new_compare4([], [], x0)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_lt20(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs4(Just(x0), Nothing, x1)
new_ltEs14(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare29(x0, x1, False, x2, x3, x4)
new_primPlusNat0(Succ(x0), x1)
new_primCmpNat2(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Ordering)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primPlusNat0(Zero, x0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_compare113(x0, x1, False, x2, x3)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_lt6(x0, x1, ty_Bool)
new_lt4(x0, x1)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs4(x0, x1, ty_Float)
new_ltEs4(x0, x1, ty_@0)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_esEs21(x0, x1, ty_Float)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs20(x0, x1, ty_Ordering)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_esEs8(EQ, GT)
new_esEs8(GT, EQ)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_primMulInt(Neg(x0), Neg(x1))
new_esEs10(x0, x1, ty_Char)
new_primEqNat0(Succ(x0), Zero)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare11(x0, x1, False, x2, x3)
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs26(x0, x1, ty_Integer)
new_lt20(x0, x1, ty_Bool)
new_ltEs11(x0, x1)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_sr(Integer(x0), Integer(x1))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_asAs(False, x0)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs20(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, ty_Integer)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_lt5(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs16(False, False)
new_lt6(x0, x1, ty_Integer)
new_esEs24(x0, x1, ty_Ordering)
new_esEs26(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, ty_@0)
new_compare28(x0, x1, False, x2)
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_lt15(x0, x1)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Double)
new_esEs21(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_not(True)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_lt19(x0, x1, x2, x3)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Int)
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_compare14(x0, x1, x2, x3, x4)
new_esEs14(Integer(x0), Integer(x1))
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs4(Nothing, Just(x0), x1)
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare8(x0, x1, ty_@0)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, EQ)
new_esEs8(EQ, LT)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(x0, x1)
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs4(Nothing, Nothing, x0)
new_ltEs20(x0, x1, ty_Int)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Char)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs30(x0, x1, ty_Bool)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare8(x0, x1, app(ty_[], x2))
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_compare7(x0, x1)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_esEs25(x0, x1, ty_@0)
new_esEs21(x0, x1, ty_Char)
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_primCmpNat0(x0, Succ(x1))
new_esEs22(x0, x1, ty_Float)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs5(x0, x1, ty_@0)
new_ltEs12(LT, GT)
new_compare10(x0, x1, True, x2, x3)
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_compare210(x0, x1, False, x2, x3)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_esEs21(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: 



↳ 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, bb) → new_foldl(new_addListToFM_CAdd(xuu6, xuu3110, h, ba, bb), xuu3111, h, ba, bb)

The TRS R consists of the following rules:

new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Maybe, bfg)) → new_esEs4(xuu3110000, xuu6000, bfg)
new_mkBalBranch6MkBalBranch40(xuu600, xuu61, Branch(xuu640, xuu641, xuu642, xuu643, xuu644), xuu53, True, h, ba, bb) → new_mkBalBranch6MkBalBranch010(xuu600, xuu61, xuu640, xuu641, xuu642, xuu643, xuu644, xuu53, new_lt11(new_sizeFM(xuu643, h, ba, bb), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM(xuu644, h, ba, bb))), h, ba, bb)
new_esEs22(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt1(Branch(xuu450, xuu451, xuu452, xuu453, xuu454), xuu600, xuu61, xuu64, h, ba, bb) → new_primCmpInt(new_primPlusInt(xuu452, new_mkBalBranch6Size_r(xuu600, xuu61, xuu64, Branch(xuu450, xuu451, xuu452, xuu453, xuu454), h, ba, bb)), Pos(Succ(Succ(Zero))))
new_primCmpNat0(xuu5000, Succ(xuu5100)) → new_primCmpNat2(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(app(app(ty_@3, dda), ddb), ddc)) → new_ltEs9(xuu5000, xuu5100, dda, ddb, ddc)
new_compare112(xuu50000, xuu51000, True, hh) → LT
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs7(xuu5000, xuu5100) → new_fsEs(new_compare12(xuu5000, xuu5100))
new_addToFM_C23(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, fh, ga, gb) → new_mkBalBranch(xuu17, xuu18, new_addToFM_C0(xuu20, Left(xuu22), xuu23, fh, ga, gb), xuu21, fh, ga, gb)
new_ltEs15(True, False) → False
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_compare23(Left(xuu5000), Left(xuu5100), False, dga, dgb) → new_compare10(xuu5000, xuu5100, new_ltEs4(xuu5000, xuu5100, dga), dga, dgb)
new_esEs24(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, app(app(app(ty_@3, cfa), cfb), cfc)) → new_esEs5(xuu3110001, xuu6001, cfa, cfb, cfc)
new_lt6(xuu50001, xuu51001, app(app(app(ty_@3, ddg), ddh), dea)) → new_lt10(xuu50001, xuu51001, ddg, ddh, dea)
new_mkBalBranch6MkBalBranch010(xuu600, xuu61, xuu640, xuu641, xuu642, Branch(xuu6430, xuu6431, xuu6432, xuu6433, xuu6434), xuu644, xuu53, False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xuu6430, xuu6431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), Left(xuu600), xuu61, xuu53, xuu6433, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xuu640, xuu641, xuu6434, xuu644, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_lt6(xuu50001, xuu51001, ty_@0) → new_lt8(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(ty_[], dab)) → new_lt18(xuu50000, xuu51000, dab)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs12(LT, GT) → True
new_mkBalBranch6Size_r(xuu600, xuu61, xuu64, xuu45, h, ba, bb) → new_sizeFM(xuu64, h, ba, bb)
new_esEs11(:%(xuu3110000, xuu3110001), :%(xuu6000, xuu6001), cbe) → new_asAs(new_esEs27(xuu3110000, xuu6000, cbe), new_esEs28(xuu3110001, xuu6001, cbe))
new_esEs31(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_ltEs5(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs22(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_compare10(xuu154, xuu155, True, dhg, dhh) → LT
new_ltEs5(xuu5000, xuu5100, app(app(ty_@2, dhe), dhf)) → new_ltEs19(xuu5000, xuu5100, dhe, dhf)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, app(ty_Maybe, cfd)) → new_esEs4(xuu3110001, xuu6001, cfd)
new_esEs4(Nothing, Just(xuu6000), beg) → False
new_esEs4(Just(xuu3110000), Nothing, beg) → False
new_lt20(xuu50000, xuu51000, app(app(ty_Either, chh), daa)) → new_lt14(xuu50000, xuu51000, chh, daa)
new_addToFM_C15(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, he, hf, hg) → Branch(Right(xuu39), new_addListToFM0(xuu35, xuu40, hg), xuu36, xuu37, xuu38)
new_addToFM_C0(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, h, ba, bb) → new_addToFM_C26(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Right(xuu600), new_esEs31(xuu311000, xuu600, ba), h, ba), LT), h, ba, bb)
new_esEs9(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_sizeFM0(Branch(xuu2380, xuu2381, xuu2382, xuu2383, xuu2384), cbc, cbd) → xuu2382
new_esEs31(xuu311000, xuu600, app(app(app(ty_@3, cce), ccf), ccg)) → new_esEs5(xuu311000, xuu600, cce, ccf, ccg)
new_esEs23(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Ordering, bgf) → new_ltEs12(xuu50000, xuu51000)
new_primMulNat0(Zero, Zero) → Zero
new_lt20(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(app(ty_@2, bce), bcf)) → new_esEs7(xuu3110000, xuu6000, bce, bcf)
new_ltEs12(LT, LT) → True
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_[], bhe), bgf) → new_ltEs17(xuu50000, xuu51000, bhe)
new_sr(Integer(xuu500000), Integer(xuu510010)) → Integer(new_primMulInt(xuu500000, xuu510010))
new_compare17(xuu50000, xuu51000, ff, fg) → new_compare23(xuu50000, xuu51000, new_esEs6(xuu50000, xuu51000, ff, fg), ff, fg)
new_lt20(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_esEs25(xuu3110002, xuu6002, app(app(ty_Either, cga), cgb)) → new_esEs6(xuu3110002, xuu6002, cga, cgb)
new_esEs20(xuu3110000, xuu6000, app(ty_Maybe, dh)) → new_esEs4(xuu3110000, xuu6000, dh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(app(ty_@2, cba), cbb)) → new_ltEs19(xuu50000, xuu51000, cba, cbb)
new_lt20(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Int) → new_compare15(new_sr0(xuu50000, xuu51001), new_sr0(xuu51000, xuu50001))
new_ltEs20(xuu50002, xuu51002, app(ty_Maybe, deh)) → new_ltEs8(xuu50002, xuu51002, deh)
new_esEs32(xuu39, xuu34, ty_Integer) → new_esEs14(xuu39, xuu34)
new_esEs31(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_compare19(xuu50000, xuu51000) → new_compare26(xuu50000, xuu51000, new_esEs16(xuu50000, xuu51000))
new_ltEs5(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_esEs30(xuu311000, xuu600, app(ty_Ratio, cbe)) → new_esEs11(xuu311000, xuu600, cbe)
new_ltEs20(xuu50002, xuu51002, ty_Char) → new_ltEs14(xuu50002, xuu51002)
new_addToFM_C26(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, he, hf, hg) → new_mkBalBranch0(xuu34, xuu35, new_addToFM_C0(xuu37, Right(xuu39), xuu40, he, hf, hg), xuu38, he, hf, hg)
new_esEs26(xuu50000, xuu51000, ty_Char) → new_esEs15(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, app(ty_Maybe, ceb)) → new_esEs4(xuu3110000, xuu6000, ceb)
new_esEs23(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs19(Float(xuu3110000, xuu3110001), Float(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_mkBalBranch6MkBalBranch3(xuu600, xuu61, xuu64, Branch(xuu450, xuu451, xuu452, xuu453, xuu454), True, h, ba, bb) → new_mkBalBranch6MkBalBranch11(xuu600, xuu61, xuu64, xuu450, xuu451, xuu452, xuu453, xuu454, new_lt11(new_sizeFM(xuu454, h, ba, bb), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM(xuu453, h, ba, bb))), h, ba, bb)
new_lt6(xuu50001, xuu51001, app(app(ty_@2, dee), def)) → new_lt19(xuu50001, xuu51001, dee, def)
new_ltEs12(LT, EQ) → True
new_ltEs4(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_esEs32(xuu39, xuu34, app(ty_[], dbg)) → new_esEs18(xuu39, xuu34, dbg)
new_ltEs20(xuu50002, xuu51002, app(app(ty_@2, dfg), dfh)) → new_ltEs19(xuu50002, xuu51002, dfg, dfh)
new_compare15(xuu50, xuu51) → new_primCmpInt(xuu50, xuu51)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(ty_Ratio, bbf)) → new_esEs11(xuu3110000, xuu6000, bbf)
new_esEs30(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_esEs12(@0, @0) → True
new_esEs21(xuu3110001, xuu6001, app(app(ty_Either, ee), ef)) → new_esEs6(xuu3110001, xuu6001, ee, ef)
new_mkBranch(xuu234, xuu235, xuu236, xuu237, xuu238, cbc, cbd) → Branch(xuu235, xuu236, new_primPlusInt(new_primPlusInt(Pos(Succ(Zero)), new_sizeFM0(xuu237, cbc, cbd)), new_sizeFM0(xuu238, cbc, cbd)), xuu237, xuu238)
new_esEs26(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_Maybe, chd)) → new_esEs4(xuu50000, xuu51000, chd)
new_ltEs5(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(app(ty_@3, eac), ead), eae)) → new_ltEs9(xuu50000, xuu51000, eac, ead, eae)
new_ltEs20(xuu50002, xuu51002, app(app(ty_Either, dfd), dfe)) → new_ltEs13(xuu50002, xuu51002, dfd, dfe)
new_esEs9(xuu50000, xuu51000, ty_Integer) → new_esEs14(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, app(ty_[], ddd)) → new_esEs18(xuu50000, xuu51000, ddd)
new_pePe(False, xuu181) → xuu181
new_esEs25(xuu3110002, xuu6002, app(app(ty_@2, cgg), cgh)) → new_esEs7(xuu3110002, xuu6002, cgg, cgh)
new_esEs17(Double(xuu3110000, xuu3110001), Double(xuu6000, xuu6001)) → new_esEs13(new_sr0(xuu3110000, xuu6000), new_sr0(xuu3110001, xuu6001))
new_esEs18(:(xuu3110000, xuu3110001), [], bda) → False
new_esEs18([], :(xuu6000, xuu6001), bda) → False
new_ltEs15(True, True) → True
new_mkBalBranch6Size_r0(xuu600, xuu61, xuu64, xuu53, h, ba, bb) → new_sizeFM(xuu64, h, ba, bb)
new_esEs32(xuu39, xuu34, ty_Float) → new_esEs19(xuu39, xuu34)
new_lt5(xuu50000, xuu51000, app(ty_Ratio, bgb)) → new_lt7(xuu50000, xuu51000, bgb)
new_ltEs4(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_esEs7(@2(xuu3110000, xuu3110001), @2(xuu6000, xuu6001), cf, cg) → new_asAs(new_esEs20(xuu3110000, xuu6000, cf), new_esEs21(xuu3110001, xuu6001, cg))
new_ltEs15(False, True) → True
new_ltEs21(xuu50001, xuu51001, ty_@0) → new_ltEs7(xuu50001, xuu51001)
new_addToFM_C14(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, h, ba, bb) → Branch(Right(xuu311000), new_addListToFM0(xuu61, xuu31101, bb), xuu62, xuu63, xuu64)
new_lt6(xuu50001, xuu51001, ty_Ordering) → new_lt13(xuu50001, xuu51001)
new_lt20(xuu50000, xuu51000, app(app(app(ty_@3, che), chf), chg)) → new_lt10(xuu50000, xuu51000, che, chf, chg)
new_esEs9(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(app(app(ty_@3, bed), bee), bef)) → new_lt10(xuu50000, xuu51000, bed, bee, bef)
new_esEs10(xuu50001, xuu51001, app(app(app(ty_@3, ddg), ddh), dea)) → new_esEs5(xuu50001, xuu51001, ddg, ddh, dea)
new_lt8(xuu50000, xuu51000) → new_esEs8(new_compare12(xuu50000, xuu51000), LT)
new_esEs22(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_esEs9(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_esEs31(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, app(ty_[], da)) → new_esEs18(xuu3110000, xuu6000, da)
new_compare111(xuu50000, xuu51000, False) → GT
new_compare111(xuu50000, xuu51000, True) → LT
new_esEs14(Integer(xuu3110000), Integer(xuu6000)) → new_primEqInt(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_Maybe, dgd)) → new_ltEs8(xuu5000, xuu5100, dgd)
new_addToFM_C15(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, True, he, hf, hg) → new_mkBalBranch0(xuu34, xuu35, xuu37, new_addToFM_C0(xuu38, Right(xuu39), xuu40, he, hf, hg), he, hf, hg)
new_ltEs15(False, False) → True
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Integer, baa) → new_esEs14(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs32(xuu39, xuu34, app(ty_Maybe, dcf)) → new_esEs4(xuu39, xuu34, dcf)
new_ltEs20(xuu50002, xuu51002, ty_Ordering) → new_ltEs12(xuu50002, xuu51002)
new_primCmpInt(Neg(Succ(xuu5000)), Neg(xuu510)) → new_primCmpNat1(xuu510, xuu5000)
new_esEs26(xuu50000, xuu51000, ty_Double) → new_esEs17(xuu50000, xuu51000)
new_ltEs8(Nothing, Just(xuu51000), dgd) → True
new_esEs25(xuu3110002, xuu6002, ty_Bool) → new_esEs16(xuu3110002, xuu6002)
new_ltEs21(xuu50001, xuu51001, ty_Bool) → new_ltEs15(xuu50001, xuu51001)
new_primCompAux0(xuu50000, xuu51000, xuu191, bc) → new_primCompAux00(xuu191, new_compare8(xuu50000, xuu51000, bc))
new_compare114(xuu50000, xuu51000, False, bed, bee, bef) → GT
new_esEs25(xuu3110002, xuu6002, ty_@0) → new_esEs12(xuu3110002, xuu6002)
new_mkBalBranch6MkBalBranch50(xuu600, xuu61, xuu64, xuu53, True, h, ba, bb) → new_mkBranch(Zero, Left(xuu600), xuu61, xuu53, xuu64, app(app(ty_Either, h), ba), bb)
new_esEs6(Left(xuu3110000), Right(xuu6000), bbd, baa) → False
new_esEs6(Right(xuu3110000), Left(xuu6000), bbd, baa) → False
new_esEs8(LT, LT) → True
new_addToFM_C16(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, h, ba, bb) → new_mkBalBranch0(xuu600, xuu61, xuu63, new_addToFM_C0(xuu64, Left(xuu311000), xuu31101, h, ba, bb), h, ba, bb)
new_lt9(xuu50000, xuu51000, hh) → new_esEs8(new_compare13(xuu50000, xuu51000, hh), LT)
new_mkBalBranch6MkBalBranch4(xuu600, xuu61, xuu64, xuu45, False, h, ba, bb) → new_mkBalBranch6MkBalBranch3(xuu600, xuu61, xuu64, xuu45, new_gt(new_mkBalBranch6Size_l(xuu600, xuu61, xuu64, xuu45, h, ba, bb), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_r(xuu600, xuu61, xuu64, xuu45, h, ba, bb))), h, ba, bb)
new_ltEs21(xuu50001, xuu51001, app(ty_[], dbd)) → new_ltEs17(xuu50001, xuu51001, dbd)
new_esEs25(xuu3110002, xuu6002, ty_Double) → new_esEs17(xuu3110002, xuu6002)
new_ltEs14(xuu5000, xuu5100) → new_fsEs(new_compare18(xuu5000, xuu5100))
new_esEs25(xuu3110002, xuu6002, ty_Ordering) → new_esEs8(xuu3110002, xuu6002)
new_esEs29(xuu22, xuu17, app(app(ty_@2, hc), hd)) → new_esEs7(xuu22, xuu17, hc, hd)
new_lt20(xuu50000, xuu51000, app(app(ty_@2, dac), dad)) → new_lt19(xuu50000, xuu51000, dac, dad)
new_esEs30(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_lt7(xuu50000, xuu51000, bgb) → new_esEs8(new_compare9(xuu50000, xuu51000, bgb), LT)
new_pePe(True, xuu181) → True
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(ty_Maybe, cab)) → new_ltEs8(xuu50000, xuu51000, cab)
new_primEqNat0(Zero, Zero) → True
new_compare26(xuu50000, xuu51000, True) → EQ
new_esEs25(xuu3110002, xuu6002, app(ty_[], cfg)) → new_esEs18(xuu3110002, xuu6002, cfg)
new_esEs23(xuu3110000, xuu6000, app(app(ty_Either, cde), cdf)) → new_esEs6(xuu3110000, xuu6000, cde, cdf)
new_ltEs4(xuu5000, xuu5100, app(app(ty_Either, bhh), bgf)) → new_ltEs13(xuu5000, xuu5100, bhh, bgf)
new_ltEs20(xuu50002, xuu51002, ty_@0) → new_ltEs7(xuu50002, xuu51002)
new_ltEs5(xuu5000, xuu5100, app(ty_Maybe, dgf)) → new_ltEs8(xuu5000, xuu5100, dgf)
new_esEs24(xuu3110001, xuu6001, app(ty_[], cee)) → new_esEs18(xuu3110001, xuu6001, cee)
new_esEs22(xuu3110000, xuu6000, app(app(ty_@2, beb), bec)) → new_esEs7(xuu3110000, xuu6000, beb, bec)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(app(ty_Either, bbg), bbh)) → new_esEs6(xuu3110000, xuu6000, bbg, bbh)
new_esEs9(xuu50000, xuu51000, app(ty_Ratio, bgb)) → new_esEs11(xuu50000, xuu51000, bgb)
new_compare8(xuu50000, xuu51000, ty_Int) → new_compare15(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Int) → new_esEs13(xuu22, xuu17)
new_esEs15(Char(xuu3110000), Char(xuu6000)) → new_primEqNat0(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Bool, baa) → new_esEs16(xuu3110000, xuu6000)
new_esEs25(xuu3110002, xuu6002, ty_Int) → new_esEs13(xuu3110002, xuu6002)
new_addToFM_C25(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, h, ba, bb) → new_addToFM_C14(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, h, ba), GT), h, ba, bb)
new_esEs20(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_mkBalBranch6MkBalBranch01(xuu600, xuu61, xuu640, xuu641, xuu642, Branch(xuu6430, xuu6431, xuu6432, xuu6433, xuu6434), xuu644, xuu45, False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), xuu6430, xuu6431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), Right(xuu600), xuu61, xuu45, xuu6433, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), xuu640, xuu641, xuu6434, xuu644, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs32(xuu39, xuu34, app(app(ty_@2, dcg), dch)) → new_esEs7(xuu39, xuu34, dcg, dch)
new_compare114(xuu50000, xuu51000, True, bed, bee, bef) → LT
new_lt17(xuu50000, xuu51000) → new_esEs8(new_compare24(xuu50000, xuu51000), LT)
new_primPlusInt(Neg(xuu5320), Neg(xuu1220)) → Neg(new_primPlusNat1(xuu5320, xuu1220))
new_esEs24(xuu3110001, xuu6001, app(app(ty_@2, cfe), cff)) → new_esEs7(xuu3110001, xuu6001, cfe, cff)
new_esEs26(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_primCmpInt(Neg(Zero), Neg(Succ(xuu5100))) → new_primCmpNat0(xuu5100, Zero)
new_esEs8(GT, GT) → True
new_compare8(xuu50000, xuu51000, app(app(ty_@2, cd), ce)) → new_compare25(xuu50000, xuu51000, cd, ce)
new_compare4([], [], bc) → EQ
new_primPlusNat0(Succ(xuu1310), xuu600100) → Succ(Succ(new_primPlusNat1(xuu1310, xuu600100)))
new_esEs13(xuu311000, xuu600) → new_primEqInt(xuu311000, xuu600)
new_ltEs5(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Double, baa) → new_esEs17(xuu3110000, xuu6000)
new_primCmpInt(Pos(Zero), Pos(Succ(xuu5100))) → new_primCmpNat1(Zero, xuu5100)
new_lt20(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_lt15(xuu50000, xuu51000) → new_esEs8(new_compare18(xuu50000, xuu51000), LT)
new_compare6(Float(xuu50000, xuu50001), Float(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_ltEs17(xuu5000, xuu5100, bc) → new_fsEs(new_compare4(xuu5000, xuu5100, bc))
new_esEs22(xuu3110000, xuu6000, app(ty_[], bdb)) → new_esEs18(xuu3110000, xuu6000, bdb)
new_lt10(xuu50000, xuu51000, bed, bee, bef) → new_esEs8(new_compare14(xuu50000, xuu51000, bed, bee, bef), LT)
new_esEs8(LT, GT) → False
new_esEs8(GT, LT) → False
new_addToFM_C0(EmptyFM, xuu31100, xuu31101, h, ba, bb) → Branch(xuu31100, xuu31101, Pos(Succ(Zero)), new_emptyFM(h, ba, bb), new_emptyFM(h, ba, bb))
new_esEs32(xuu39, xuu34, ty_Double) → new_esEs17(xuu39, xuu34)
new_lt5(xuu50000, xuu51000, ty_Float) → new_lt4(xuu50000, xuu51000)
new_ltEs10(xuu5000, xuu5100) → new_fsEs(new_compare15(xuu5000, xuu5100))
new_primCmpInt1(EmptyFM, xuu600, xuu61, xuu64, h, ba, bb) → new_primCmpInt(new_primPlusInt(Pos(Zero), new_mkBalBranch6Size_r(xuu600, xuu61, xuu64, EmptyFM, h, ba, bb)), Pos(Succ(Succ(Zero))))
new_ltEs11(xuu5000, xuu5100) → new_fsEs(new_compare16(xuu5000, xuu5100))
new_lt5(xuu50000, xuu51000, ty_Int) → new_lt11(xuu50000, xuu51000)
new_compare29(xuu50000, xuu51000, True, bed, bee, bef) → EQ
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_esEs24(xuu3110001, xuu6001, app(ty_Ratio, cef)) → new_esEs11(xuu3110001, xuu6001, cef)
new_ltEs20(xuu50002, xuu51002, ty_Integer) → new_ltEs11(xuu50002, xuu51002)
new_ltEs4(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_esEs20(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_compare24(Double(xuu50000, xuu50001), Double(xuu51000, xuu51001)) → new_compare15(new_sr0(xuu50000, xuu51000), new_sr0(xuu50001, xuu51001))
new_compare113(xuu50000, xuu51000, True, bcg, bch) → LT
new_addToFM_C16(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, h, ba, bb) → Branch(Left(xuu311000), new_addListToFM0(xuu61, xuu31101, bb), xuu62, xuu63, xuu64)
new_esEs23(xuu3110000, xuu6000, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs20(xuu50002, xuu51002, app(app(app(ty_@3, dfa), dfb), dfc)) → new_ltEs9(xuu50002, xuu51002, dfa, dfb, dfc)
new_esEs30(xuu311000, xuu600, app(ty_Maybe, beg)) → new_esEs4(xuu311000, xuu600, beg)
new_primPlusNat1(Succ(xuu53200), Zero) → Succ(xuu53200)
new_primPlusNat1(Zero, Succ(xuu12200)) → Succ(xuu12200)
new_mkBalBranch6MkBalBranch110(xuu600, xuu61, xuu64, xuu530, xuu531, xuu532, xuu533, Branch(xuu5340, xuu5341, xuu5342, xuu5343, xuu5344), False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xuu5340, xuu5341, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xuu530, xuu531, xuu533, xuu5343, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), Left(xuu600), xuu61, xuu5344, xuu64, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs10(xuu50001, xuu51001, app(ty_[], ded)) → new_esEs18(xuu50001, xuu51001, ded)
new_ltEs5(xuu5000, xuu5100, ty_@0) → new_ltEs7(xuu5000, xuu5100)
new_mkBalBranch6MkBalBranch01(xuu600, xuu61, xuu640, xuu641, xuu642, xuu643, xuu644, xuu45, True, h, ba, bb) → new_mkBranch(Succ(Succ(Zero)), xuu640, xuu641, new_mkBranch(Succ(Succ(Succ(Zero))), Right(xuu600), xuu61, xuu45, xuu643, app(app(ty_Either, h), ba), bb), xuu644, app(app(ty_Either, h), ba), bb)
new_lt5(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Char) → new_esEs15(xuu3110001, xuu6001)
new_esEs16(False, True) → False
new_esEs16(True, False) → False
new_compare27(xuu50000, xuu51000, False) → new_compare111(xuu50000, xuu51000, new_ltEs12(xuu50000, xuu51000))
new_primCmpNat1(Zero, xuu5000) → LT
new_ltEs21(xuu50001, xuu51001, app(ty_Ratio, dae)) → new_ltEs6(xuu50001, xuu51001, dae)
new_mkBalBranch6MkBalBranch110(xuu600, xuu61, xuu64, xuu530, xuu531, xuu532, xuu533, EmptyFM, False, h, ba, bb) → error([])
new_esEs21(xuu3110001, xuu6001, app(ty_[], ec)) → new_esEs18(xuu3110001, xuu6001, ec)
new_esEs32(xuu39, xuu34, app(ty_Ratio, dbh)) → new_esEs11(xuu39, xuu34, dbh)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_ltEs5(xuu5000, xuu5100, ty_Double) → new_ltEs16(xuu5000, xuu5100)
new_mkBalBranch6MkBalBranch40(xuu600, xuu61, EmptyFM, xuu53, True, h, ba, bb) → error([])
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(app(ty_@3, bgh), bha), bhb), bgf) → new_ltEs9(xuu50000, xuu51000, bgh, bha, bhb)
new_compare210(xuu50000, xuu51000, False, bcg, bch) → new_compare113(xuu50000, xuu51000, new_ltEs19(xuu50000, xuu51000, bcg, bch), bcg, bch)
new_esEs21(xuu3110001, xuu6001, app(app(ty_@2, fc), fd)) → new_esEs7(xuu3110001, xuu6001, fc, fd)
new_ltEs12(EQ, EQ) → True
new_esEs32(xuu39, xuu34, app(app(app(ty_@3, dcc), dcd), dce)) → new_esEs5(xuu39, xuu34, dcc, dcd, dce)
new_lt16(xuu50000, xuu51000) → new_esEs8(new_compare19(xuu50000, xuu51000), LT)
new_ltEs20(xuu50002, xuu51002, ty_Float) → new_ltEs18(xuu50002, xuu51002)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Char) → new_ltEs14(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(ty_Either, dbb), dbc)) → new_ltEs13(xuu50001, xuu51001, dbb, dbc)
new_primEqInt(Neg(Succ(xuu31100000)), Neg(Zero)) → False
new_primEqInt(Neg(Zero), Neg(Succ(xuu60000))) → False
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(app(app(ty_@3, cac), cad), cae)) → new_ltEs9(xuu50000, xuu51000, cac, cad, cae)
new_ltEs21(xuu50001, xuu51001, ty_Int) → new_ltEs10(xuu50001, xuu51001)
new_esEs8(EQ, EQ) → True
new_addListToFM0(xuu18, xuu23, gb) → xuu23
new_lt20(xuu50000, xuu51000, ty_Ordering) → new_lt13(xuu50000, xuu51000)
new_esEs30(xuu311000, xuu600, ty_Bool) → new_esEs16(xuu311000, xuu600)
new_esEs20(xuu3110000, xuu6000, ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Integer, bgf) → new_ltEs11(xuu50000, xuu51000)
new_esEs26(xuu50000, xuu51000, app(ty_[], dab)) → new_esEs18(xuu50000, xuu51000, dab)
new_mkBalBranch6MkBalBranch40(xuu600, xuu61, xuu64, xuu53, False, h, ba, bb) → new_mkBalBranch6MkBalBranch30(xuu600, xuu61, xuu64, xuu53, new_gt(new_mkBalBranch6Size_l0(xuu600, xuu61, xuu64, xuu53, h, ba, bb), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_r0(xuu600, xuu61, xuu64, xuu53, h, ba, bb))), h, ba, bb)
new_esEs28(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs22(xuu3110000, xuu6000, app(app(app(ty_@3, bdf), bdg), bdh)) → new_esEs5(xuu3110000, xuu6000, bdf, bdg, bdh)
new_mkBalBranch6MkBalBranch3(xuu600, xuu61, xuu64, xuu45, False, h, ba, bb) → new_mkBranch(Succ(Zero), Right(xuu600), xuu61, xuu45, xuu64, app(app(ty_Either, h), ba), bb)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Double, bgf) → new_ltEs16(xuu50000, xuu51000)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs29(xuu22, xuu17, ty_Bool) → new_esEs16(xuu22, xuu17)
new_lt5(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, ty_Ordering) → new_ltEs12(xuu50001, xuu51001)
new_esEs23(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_gt(xuu115, xuu114) → new_esEs8(new_compare15(xuu115, xuu114), GT)
new_esEs10(xuu50001, xuu51001, ty_Float) → new_esEs19(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, app(ty_[], dhd)) → new_ltEs17(xuu5000, xuu5100, dhd)
new_primMinusNat0(Succ(xuu53200), Zero) → Pos(Succ(xuu53200))
new_compare8(xuu50000, xuu51000, ty_Char) → new_compare18(xuu50000, xuu51000)
new_compare8(xuu50000, xuu51000, app(ty_Maybe, be)) → new_compare13(xuu50000, xuu51000, be)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, app(ty_Maybe, bea)) → new_esEs4(xuu3110000, xuu6000, bea)
new_esEs25(xuu3110002, xuu6002, app(ty_Maybe, cgf)) → new_esEs4(xuu3110002, xuu6002, cgf)
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Succ(xuu60000))) → new_primEqNat0(xuu31100000, xuu60000)
new_compare10(xuu154, xuu155, False, dhg, dhh) → GT
new_mkBalBranch6MkBalBranch01(xuu600, xuu61, xuu640, xuu641, xuu642, EmptyFM, xuu644, xuu45, False, h, ba, bb) → error([])
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_Either, bfb), bfc)) → new_esEs6(xuu3110000, xuu6000, bfb, bfc)
new_esEs9(xuu50000, xuu51000, app(app(ty_@2, bcg), bch)) → new_esEs7(xuu50000, xuu51000, bcg, bch)
new_ltEs21(xuu50001, xuu51001, ty_Char) → new_ltEs14(xuu50001, xuu51001)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Float, bgf) → new_ltEs18(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(app(ty_@3, baf), bag), bah), baa) → new_esEs5(xuu3110000, xuu6000, baf, bag, bah)
new_compare8(xuu50000, xuu51000, app(ty_[], cc)) → new_compare4(xuu50000, xuu51000, cc)
new_compare8(xuu50000, xuu51000, app(app(ty_Either, ca), cb)) → new_compare17(xuu50000, xuu51000, ca, cb)
new_esEs20(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(ty_Maybe, bcd)) → new_esEs4(xuu3110000, xuu6000, bcd)
new_primEqNat0(Succ(xuu31100000), Succ(xuu60000)) → new_primEqNat0(xuu31100000, xuu60000)
new_lt6(xuu50001, xuu51001, ty_Char) → new_lt15(xuu50001, xuu51001)
new_ltEs20(xuu50002, xuu51002, app(ty_[], dff)) → new_ltEs17(xuu50002, xuu51002, dff)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_Either, eaf), eag)) → new_ltEs13(xuu50000, xuu51000, eaf, eag)
new_esEs26(xuu50000, xuu51000, ty_@0) → new_esEs12(xuu50000, xuu51000)
new_mkBalBranch6MkBalBranch010(xuu600, xuu61, xuu640, xuu641, xuu642, EmptyFM, xuu644, xuu53, False, h, ba, bb) → error([])
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(app(ty_@3, bfd), bfe), bff)) → new_esEs5(xuu3110000, xuu6000, bfd, bfe, bff)
new_compare113(xuu50000, xuu51000, False, bcg, bch) → GT
new_ltEs5(xuu5000, xuu5100, app(ty_Ratio, dge)) → new_ltEs6(xuu5000, xuu5100, dge)
new_esEs29(xuu22, xuu17, ty_@0) → new_esEs12(xuu22, xuu17)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_lt11(xuu500, xuu510) → new_esEs8(new_compare15(xuu500, xuu510), LT)
new_primCompAux00(xuu205, LT) → LT
new_esEs22(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_ltEs21(xuu50001, xuu51001, ty_Float) → new_ltEs18(xuu50001, xuu51001)
new_esEs9(xuu50000, xuu51000, app(app(ty_Either, ff), fg)) → new_esEs6(xuu50000, xuu51000, ff, fg)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_Ratio, bfa)) → new_esEs11(xuu3110000, xuu6000, bfa)
new_mkBalBranch6MkBalBranch11(xuu600, xuu61, xuu64, xuu450, xuu451, xuu452, xuu453, EmptyFM, False, h, ba, bb) → error([])
new_esEs24(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_esEs21(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Nothing, dgd) → False
new_esEs10(xuu50001, xuu51001, app(app(ty_@2, dee), def)) → new_esEs7(xuu50001, xuu51001, dee, def)
new_esEs22(xuu3110000, xuu6000, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_esEs20(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs8(LT, EQ) → False
new_esEs8(EQ, LT) → False
new_primCmpInt0(Branch(xuu530, xuu531, xuu532, xuu533, xuu534), xuu600, xuu61, xuu64, h, ba, bb) → new_primCmpInt(new_primPlusInt(xuu532, new_mkBalBranch6Size_r0(xuu600, xuu61, xuu64, Branch(xuu530, xuu531, xuu532, xuu533, xuu534), h, ba, bb)), Pos(Succ(Succ(Zero))))
new_primEqInt(Pos(Succ(xuu31100000)), Pos(Zero)) → False
new_primEqInt(Pos(Zero), Pos(Succ(xuu60000))) → False
new_esEs10(xuu50001, xuu51001, ty_Char) → new_esEs15(xuu50001, xuu51001)
new_lt4(xuu50000, xuu51000) → new_esEs8(new_compare6(xuu50000, xuu51000), LT)
new_ltEs5(xuu5000, xuu5100, app(app(ty_Either, dhb), dhc)) → new_ltEs13(xuu5000, xuu5100, dhb, dhc)
new_addToFM_C26(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, False, he, hf, hg) → new_addToFM_C15(xuu34, xuu35, xuu36, xuu37, xuu38, xuu39, xuu40, new_esEs8(new_compare23(Right(xuu39), Right(xuu34), new_esEs32(xuu39, xuu34, hf), he, hf), GT), he, hf, hg)
new_esEs21(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Ratio, eaa)) → new_ltEs6(xuu50000, xuu51000, eaa)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_lt19(xuu50000, xuu51000, bcg, bch) → new_esEs8(new_compare25(xuu50000, xuu51000, bcg, bch), LT)
new_esEs22(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_mkBalBranch0(xuu600, xuu61, xuu45, xuu64, h, ba, bb) → new_mkBalBranch6MkBalBranch5(xuu600, xuu61, xuu64, xuu45, new_esEs8(new_primCmpInt1(xuu45, xuu600, xuu61, xuu64, h, ba, bb), LT), h, ba, bb)
new_primCmpInt(Neg(Zero), Pos(Succ(xuu5100))) → LT
new_compare11(xuu161, xuu162, True, bgc, bgd) → LT
new_esEs32(xuu39, xuu34, ty_Char) → new_esEs15(xuu39, xuu34)
new_primPlusNat1(Succ(xuu53200), Succ(xuu12200)) → Succ(Succ(new_primPlusNat1(xuu53200, xuu12200)))
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Ordering) → new_ltEs12(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_primEqInt(Pos(Succ(xuu31100000)), Neg(xuu6000)) → False
new_primEqInt(Neg(Succ(xuu31100000)), Pos(xuu6000)) → False
new_mkBalBranch6Size_l0(xuu600, xuu61, xuu64, xuu53, h, ba, bb) → new_sizeFM(xuu53, h, ba, bb)
new_esEs25(xuu3110002, xuu6002, app(ty_Ratio, cfh)) → new_esEs11(xuu3110002, xuu6002, cfh)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_ltEs12(GT, EQ) → False
new_primPlusInt(Pos(xuu5320), Neg(xuu1220)) → new_primMinusNat0(xuu5320, xuu1220)
new_primPlusInt(Neg(xuu5320), Pos(xuu1220)) → new_primMinusNat0(xuu1220, xuu5320)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Maybe, bba), baa) → new_esEs4(xuu3110000, xuu6000, bba)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primCmpNat2(Zero, Succ(xuu51000)) → LT
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Float) → new_ltEs18(xuu50000, xuu51000)
new_primEqInt(Pos(Zero), Neg(Succ(xuu60000))) → False
new_primEqInt(Neg(Zero), Pos(Succ(xuu60000))) → False
new_lt5(xuu50000, xuu51000, app(ty_Maybe, hh)) → new_lt9(xuu50000, xuu51000, hh)
new_primCompAux00(xuu205, EQ) → xuu205
new_esEs23(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_mkBalBranch6Size_l(xuu600, xuu61, xuu64, xuu45, h, ba, bb) → new_sizeFM(xuu45, h, ba, bb)
new_esEs27(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs19(@2(xuu50000, xuu50001), @2(xuu51000, xuu51001), cha, chb) → new_pePe(new_lt20(xuu50000, xuu51000, cha), new_asAs(new_esEs26(xuu50000, xuu51000, cha), new_ltEs21(xuu50001, xuu51001, chb)))
new_lt6(xuu50001, xuu51001, app(app(ty_Either, deb), dec)) → new_lt14(xuu50001, xuu51001, deb, dec)
new_ltEs5(xuu5000, xuu5100, app(app(app(ty_@3, dgg), dgh), dha)) → new_ltEs9(xuu5000, xuu5100, dgg, dgh, dha)
new_lt6(xuu50001, xuu51001, ty_Bool) → new_lt16(xuu50001, xuu51001)
new_esEs8(EQ, GT) → False
new_esEs8(GT, EQ) → False
new_mkBalBranch6MkBalBranch110(xuu600, xuu61, xuu64, xuu530, xuu531, xuu532, xuu533, xuu534, True, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xuu530, xuu531, xuu533, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), Left(xuu600), xuu61, xuu534, xuu64, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs31(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_mkBalBranch6MkBalBranch30(xuu600, xuu61, xuu64, xuu53, False, h, ba, bb) → new_mkBranch(Succ(Zero), Left(xuu600), xuu61, xuu53, xuu64, app(app(ty_Either, h), ba), bb)
new_esEs30(xuu311000, xuu600, app(app(ty_Either, bbd), baa)) → new_esEs6(xuu311000, xuu600, bbd, baa)
new_compare8(xuu50000, xuu51000, ty_Double) → new_compare24(xuu50000, xuu51000)
new_esEs9(xuu50000, xuu51000, ty_Ordering) → new_esEs8(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_@2, bbb), bbc), baa) → new_esEs7(xuu3110000, xuu6000, bbb, bbc)
new_esEs21(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_not(False) → True
new_compare12(@0, @0) → EQ
new_ltEs21(xuu50001, xuu51001, ty_Double) → new_ltEs16(xuu50001, xuu51001)
new_compare8(xuu50000, xuu51000, app(ty_Ratio, bd)) → new_compare9(xuu50000, xuu51000, bd)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(app(ty_Either, bad), bae), baa) → new_esEs6(xuu3110000, xuu6000, bad, bae)
new_compare16(Integer(xuu50000), Integer(xuu51000)) → new_primCmpInt(xuu50000, xuu51000)
new_esEs24(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs31(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs21(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs24(xuu3110001, xuu6001, ty_Float) → new_esEs19(xuu3110001, xuu6001)
new_compare210(xuu50000, xuu51000, True, bcg, bch) → EQ
new_primPlusNat0(Zero, xuu600100) → Succ(xuu600100)
new_compare26(xuu50000, xuu51000, False) → new_compare110(xuu50000, xuu51000, new_ltEs15(xuu50000, xuu51000))
new_esEs30(xuu311000, xuu600, app(app(ty_@2, cf), cg)) → new_esEs7(xuu311000, xuu600, cf, cg)
new_esEs24(xuu3110001, xuu6001, app(app(ty_Either, ceg), ceh)) → new_esEs6(xuu3110001, xuu6001, ceg, ceh)
new_addToFM_C23(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, fh, ga, gb) → new_addToFM_C13(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, new_esEs8(new_compare23(Left(xuu22), Left(xuu17), new_esEs29(xuu22, xuu17, fh), fh, ga), GT), fh, ga, gb)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Ordering) → new_esEs8(xuu39, xuu34)
new_compare29(xuu50000, xuu51000, False, bed, bee, bef) → new_compare114(xuu50000, xuu51000, new_ltEs9(xuu50000, xuu51000, bed, bee, bef), bed, bee, bef)
new_compare9(:%(xuu50000, xuu50001), :%(xuu51000, xuu51001), ty_Integer) → new_compare16(new_sr(xuu50000, xuu51001), new_sr(xuu51000, xuu50001))
new_addToFM_C13(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, True, fh, ga, gb) → new_mkBalBranch(xuu17, xuu18, xuu20, new_addToFM_C0(xuu21, Left(xuu22), xuu23, fh, ga, gb), fh, ga, gb)
new_sizeFM(Branch(xuu640, xuu641, xuu642, xuu643, xuu644), h, ba, bb) → xuu642
new_esEs5(@3(xuu3110000, xuu3110001, xuu3110002), @3(xuu6000, xuu6001, xuu6002), cbf, cbg, cbh) → new_asAs(new_esEs23(xuu3110000, xuu6000, cbf), new_asAs(new_esEs24(xuu3110001, xuu6001, cbg), new_esEs25(xuu3110002, xuu6002, cbh)))
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Integer) → new_ltEs11(xuu50000, xuu51000)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, app(ty_Ratio, cdd)) → new_esEs11(xuu3110000, xuu6000, cdd)
new_compare7(xuu50000, xuu51000) → new_compare27(xuu50000, xuu51000, new_esEs8(xuu50000, xuu51000))
new_addToFM_C0(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Right(xuu311000), xuu31101, h, ba, bb) → new_addToFM_C25(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Right(xuu311000), Left(xuu600), False, h, ba), LT), h, ba, bb)
new_lt18(xuu50000, xuu51000, ddd) → new_esEs8(new_compare4(xuu50000, xuu51000, ddd), LT)
new_ltEs4(xuu5000, xuu5100, app(app(ty_@2, cha), chb)) → new_ltEs19(xuu5000, xuu5100, cha, chb)
new_compare11(xuu161, xuu162, False, bgc, bgd) → GT
new_esEs20(xuu3110000, xuu6000, app(ty_Ratio, db)) → new_esEs11(xuu3110000, xuu6000, db)
new_esEs20(xuu3110000, xuu6000, app(app(app(ty_@3, de), df), dg)) → new_esEs5(xuu3110000, xuu6000, de, df, dg)
new_ltEs4(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_primCmpInt(Pos(Succ(xuu5000)), Neg(xuu510)) → GT
new_esEs21(xuu3110001, xuu6001, app(app(app(ty_@3, eg), eh), fa)) → new_esEs5(xuu3110001, xuu6001, eg, eh, fa)
new_ltEs16(xuu5000, xuu5100) → new_fsEs(new_compare24(xuu5000, xuu5100))
new_esEs31(xuu311000, xuu600, app(ty_[], cca)) → new_esEs18(xuu311000, xuu600, cca)
new_esEs29(xuu22, xuu17, ty_Integer) → new_esEs14(xuu22, xuu17)
new_primMulInt(Pos(xuu31100010), Pos(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_addToFM_C13(xuu17, xuu18, xuu19, xuu20, xuu21, xuu22, xuu23, False, fh, ga, gb) → Branch(Left(xuu22), new_addListToFM0(xuu18, xuu23, gb), xuu19, xuu20, xuu21)
new_compare8(xuu50000, xuu51000, ty_Ordering) → new_compare7(xuu50000, xuu51000)
new_ltEs9(@3(xuu50000, xuu50001, xuu50002), @3(xuu51000, xuu51001, xuu51002), dda, ddb, ddc) → new_pePe(new_lt5(xuu50000, xuu51000, dda), new_asAs(new_esEs9(xuu50000, xuu51000, dda), new_pePe(new_lt6(xuu50001, xuu51001, ddb), new_asAs(new_esEs10(xuu50001, xuu51001, ddb), new_ltEs20(xuu50002, xuu51002, ddc)))))
new_compare23(Right(xuu5000), Left(xuu5100), False, dga, dgb) → GT
new_primMulInt(Neg(xuu31100010), Neg(xuu60010)) → Pos(new_primMulNat0(xuu31100010, xuu60010))
new_primCmpNat2(Zero, Zero) → EQ
new_lt5(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_compare110(xuu50000, xuu51000, True) → LT
new_ltEs12(EQ, GT) → True
new_esEs29(xuu22, xuu17, ty_Char) → new_esEs15(xuu22, xuu17)
new_mkBalBranch6MkBalBranch4(xuu600, xuu61, EmptyFM, xuu45, True, h, ba, bb) → error([])
new_mkBalBranch6MkBalBranch5(xuu600, xuu61, xuu64, xuu45, False, h, ba, bb) → new_mkBalBranch6MkBalBranch4(xuu600, xuu61, xuu64, xuu45, new_gt(new_mkBalBranch6Size_r(xuu600, xuu61, xuu64, xuu45, h, ba, bb), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_l(xuu600, xuu61, xuu64, xuu45, h, ba, bb))), h, ba, bb)
new_primEqNat0(Succ(xuu31100000), Zero) → False
new_primEqNat0(Zero, Succ(xuu60000)) → False
new_esEs10(xuu50001, xuu51001, ty_Double) → new_esEs17(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_@2, dac), dad)) → new_esEs7(xuu50000, xuu51000, dac, dad)
new_esEs9(xuu50000, xuu51000, app(app(app(ty_@3, bed), bee), bef)) → new_esEs5(xuu50000, xuu51000, bed, bee, bef)
new_compare110(xuu50000, xuu51000, False) → GT
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(xuu50000, xuu51000, ty_Int) → new_esEs13(xuu50000, xuu51000)
new_esEs4(Nothing, Nothing, beg) → True
new_mkBalBranch6MkBalBranch11(xuu600, xuu61, xuu64, xuu450, xuu451, xuu452, xuu453, Branch(xuu4540, xuu4541, xuu4542, xuu4543, xuu4544), False, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), xuu4540, xuu4541, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), xuu450, xuu451, xuu453, xuu4543, app(app(ty_Either, h), ba), bb), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), Right(xuu600), xuu61, xuu4544, xuu64, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_primCmpNat2(Succ(xuu50000), Succ(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_lt6(xuu50001, xuu51001, ty_Float) → new_lt4(xuu50001, xuu51001)
new_primCmpInt(Pos(Succ(xuu5000)), Pos(xuu510)) → new_primCmpNat0(xuu5000, xuu510)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Int, bgf) → new_ltEs10(xuu50000, xuu51000)
new_compare4(:(xuu50000, xuu50001), [], bc) → GT
new_esEs20(xuu3110000, xuu6000, app(app(ty_Either, dc), dd)) → new_esEs6(xuu3110000, xuu6000, dc, dd)
new_primCmpNat0(xuu5000, Zero) → GT
new_sizeFM0(EmptyFM, cbc, cbd) → Pos(Zero)
new_esEs29(xuu22, xuu17, app(app(ty_Either, ge), gf)) → new_esEs6(xuu22, xuu17, ge, gf)
new_mkBalBranch6MkBalBranch3(xuu600, xuu61, xuu64, EmptyFM, True, h, ba, bb) → error([])
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_[], bab), baa) → new_esEs18(xuu3110000, xuu6000, bab)
new_esEs29(xuu22, xuu17, app(app(app(ty_@3, gg), gh), ha)) → new_esEs5(xuu22, xuu17, gg, gh, ha)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_compare8(xuu50000, xuu51000, app(app(app(ty_@3, bf), bg), bh)) → new_compare14(xuu50000, xuu51000, bf, bg, bh)
new_esEs16(True, True) → True
new_primMinusNat0(Zero, Zero) → Pos(Zero)
new_ltEs21(xuu50001, xuu51001, app(ty_Maybe, daf)) → new_ltEs8(xuu50001, xuu51001, daf)
new_esEs32(xuu39, xuu34, ty_@0) → new_esEs12(xuu39, xuu34)
new_compare23(xuu500, xuu510, True, dga, dgb) → EQ
new_primCmpInt(Pos(Zero), Neg(Succ(xuu5100))) → GT
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Ordering, baa) → new_esEs8(xuu3110000, xuu6000)
new_esEs24(xuu3110001, xuu6001, ty_Bool) → new_esEs16(xuu3110001, xuu6001)
new_esEs25(xuu3110002, xuu6002, ty_Integer) → new_esEs14(xuu3110002, xuu6002)
new_lt6(xuu50001, xuu51001, ty_Double) → new_lt17(xuu50001, xuu51001)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(app(ty_@2, eba), ebb)) → new_ltEs19(xuu50000, xuu51000, eba, ebb)
new_compare4([], :(xuu51000, xuu51001), bc) → LT
new_lt20(xuu50000, xuu51000, app(ty_Maybe, chd)) → new_lt9(xuu50000, xuu51000, chd)
new_lt5(xuu50000, xuu51000, app(app(ty_Either, ff), fg)) → new_lt14(xuu50000, xuu51000, ff, fg)
new_lt6(xuu50001, xuu51001, app(ty_Ratio, dde)) → new_lt7(xuu50001, xuu51001, dde)
new_sr0(xuu3110001, xuu6001) → new_primMulInt(xuu3110001, xuu6001)
new_sIZE_RATIO → Pos(Succ(Succ(Succ(Succ(Succ(Zero))))))
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_@0, bgf) → new_ltEs7(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Bool) → new_esEs16(xuu39, xuu34)
new_compare25(xuu50000, xuu51000, bcg, bch) → new_compare210(xuu50000, xuu51000, new_esEs7(xuu50000, xuu51000, bcg, bch), bcg, bch)
new_esEs10(xuu50001, xuu51001, ty_@0) → new_esEs12(xuu50001, xuu51001)
new_emptyFM(h, ba, bb) → EmptyFM
new_compare8(xuu50000, xuu51000, ty_Integer) → new_compare16(xuu50000, xuu51000)
new_esEs22(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Maybe, bgg), bgf) → new_ltEs8(xuu50000, xuu51000, bgg)
new_compare8(xuu50000, xuu51000, ty_Float) → new_compare6(xuu50000, xuu51000)
new_esEs23(xuu3110000, xuu6000, ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_Either, bhc), bhd), bgf) → new_ltEs13(xuu50000, xuu51000, bhc, bhd)
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_[], eah)) → new_ltEs17(xuu50000, xuu51000, eah)
new_esEs21(xuu3110001, xuu6001, app(ty_Maybe, fb)) → new_esEs4(xuu3110001, xuu6001, fb)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(app(ty_Either, caf), cag)) → new_ltEs13(xuu50000, xuu51000, caf, cag)
new_ltEs18(xuu5000, xuu5100) → new_fsEs(new_compare6(xuu5000, xuu5100))
new_mkBalBranch6MkBalBranch11(xuu600, xuu61, xuu64, xuu450, xuu451, xuu452, xuu453, xuu454, True, h, ba, bb) → new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), xuu450, xuu451, xuu453, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), Right(xuu600), xuu61, xuu454, xuu64, app(app(ty_Either, h), ba), bb), app(app(ty_Either, h), ba), bb)
new_esEs6(Left(xuu3110000), Left(xuu6000), app(ty_Ratio, bac), baa) → new_esEs11(xuu3110000, xuu6000, bac)
new_ltEs21(xuu50001, xuu51001, ty_Integer) → new_ltEs11(xuu50001, xuu51001)
new_primPlusInt(Pos(xuu5320), Pos(xuu1220)) → Pos(new_primPlusNat1(xuu5320, xuu1220))
new_esEs30(xuu311000, xuu600, app(ty_[], bda)) → new_esEs18(xuu311000, xuu600, bda)
new_lt12(xuu50000, xuu51000) → new_esEs8(new_compare16(xuu50000, xuu51000), LT)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_lt6(xuu50001, xuu51001, app(ty_Maybe, ddf)) → new_lt9(xuu50001, xuu51001, ddf)
new_esEs31(xuu311000, xuu600, ty_Float) → new_esEs19(xuu311000, xuu600)
new_ltEs6(xuu5000, xuu5100, dgc) → new_fsEs(new_compare9(xuu5000, xuu5100, dgc))
new_ltEs8(Just(xuu50000), Just(xuu51000), app(ty_Maybe, eab)) → new_ltEs8(xuu50000, xuu51000, eab)
new_esEs9(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_ltEs21(xuu50001, xuu51001, app(app(app(ty_@3, dag), dah), dba)) → new_ltEs9(xuu50001, xuu51001, dag, dah, dba)
new_ltEs4(xuu5000, xuu5100, ty_Bool) → new_ltEs15(xuu5000, xuu5100)
new_ltEs4(xuu5000, xuu5100, app(ty_Ratio, dgc)) → new_ltEs6(xuu5000, xuu5100, dgc)
new_asAs(False, xuu149) → False
new_ltEs20(xuu50002, xuu51002, ty_Double) → new_ltEs16(xuu50002, xuu51002)
new_lt20(xuu50000, xuu51000, ty_Bool) → new_lt16(xuu50000, xuu51000)
new_lt5(xuu50000, xuu51000, app(ty_[], ddd)) → new_lt18(xuu50000, xuu51000, ddd)
new_lt6(xuu50001, xuu51001, ty_Integer) → new_lt12(xuu50001, xuu51001)
new_addToFM_C0(Branch(Right(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, h, ba, bb) → new_addToFM_C24(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, h, ba), LT), h, ba, bb)
new_primMulInt(Pos(xuu31100010), Neg(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_primMulInt(Neg(xuu31100010), Pos(xuu60010)) → Neg(new_primMulNat0(xuu31100010, xuu60010))
new_compare23(Left(xuu5000), Right(xuu5100), False, dga, dgb) → LT
new_ltEs13(Left(xuu50000), Right(xuu51000), bhh, bgf) → True
new_primMulNat0(Succ(xuu311000100), Zero) → Zero
new_primMulNat0(Zero, Succ(xuu600100)) → Zero
new_ltEs20(xuu50002, xuu51002, ty_Bool) → new_ltEs15(xuu50002, xuu51002)
new_esEs18([], [], bda) → True
new_lt5(xuu50000, xuu51000, app(app(ty_@2, bcg), bch)) → new_lt19(xuu50000, xuu51000, bcg, bch)
new_compare8(xuu50000, xuu51000, ty_Bool) → new_compare19(xuu50000, xuu51000)
new_esEs21(xuu3110001, xuu6001, ty_Ordering) → new_esEs8(xuu3110001, xuu6001)
new_compare4(:(xuu50000, xuu50001), :(xuu51000, xuu51001), bc) → new_primCompAux0(xuu50000, xuu51000, new_compare4(xuu50001, xuu51001, bc), bc)
new_mkBalBranch6MkBalBranch4(xuu600, xuu61, Branch(xuu640, xuu641, xuu642, xuu643, xuu644), xuu45, True, h, ba, bb) → new_mkBalBranch6MkBalBranch01(xuu600, xuu61, xuu640, xuu641, xuu642, xuu643, xuu644, xuu45, new_lt11(new_sizeFM(xuu643, h, ba, bb), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM(xuu644, h, ba, bb))), h, ba, bb)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(ty_[], beh)) → new_esEs18(xuu3110000, xuu6000, beh)
new_esEs9(xuu50000, xuu51000, app(ty_Maybe, hh)) → new_esEs4(xuu50000, xuu51000, hh)
new_lt13(xuu50000, xuu51000) → new_esEs8(new_compare7(xuu50000, xuu51000), LT)
new_ltEs12(GT, GT) → True
new_ltEs21(xuu50001, xuu51001, app(app(ty_@2, dbe), dbf)) → new_ltEs19(xuu50001, xuu51001, dbe, dbf)
new_ltEs4(xuu5000, xuu5100, ty_Int) → new_ltEs10(xuu5000, xuu5100)
new_esEs23(xuu3110000, xuu6000, app(app(ty_@2, cec), ced)) → new_esEs7(xuu3110000, xuu6000, cec, ced)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Char, baa) → new_esEs15(xuu3110000, xuu6000)
new_esEs29(xuu22, xuu17, ty_Double) → new_esEs17(xuu22, xuu17)
new_addToFM_C24(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, False, h, ba, bb) → new_addToFM_C16(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Right(xuu600), False, h, ba), GT), h, ba, bb)
new_primCmpNat1(Succ(xuu5100), xuu5000) → new_primCmpNat2(xuu5100, xuu5000)
new_esEs31(xuu311000, xuu600, ty_Double) → new_esEs17(xuu311000, xuu600)
new_primCmpNat2(Succ(xuu50000), Zero) → GT
new_lt5(xuu50000, xuu51000, ty_Double) → new_lt17(xuu50000, xuu51000)
new_esEs20(xuu3110000, xuu6000, ty_Double) → new_esEs17(xuu3110000, xuu6000)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_mkBalBranch6MkBalBranch010(xuu600, xuu61, xuu640, xuu641, xuu642, xuu643, xuu644, xuu53, True, h, ba, bb) → new_mkBranch(Succ(Succ(Zero)), xuu640, xuu641, new_mkBranch(Succ(Succ(Succ(Zero))), Left(xuu600), xuu61, xuu53, xuu643, app(app(ty_Either, h), ba), bb), xuu644, app(app(ty_Either, h), ba), bb)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Float, baa) → new_esEs19(xuu3110000, xuu6000)
new_esEs21(xuu3110001, xuu6001, ty_Int) → new_esEs13(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, ty_Bool) → new_esEs16(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Char) → new_ltEs14(xuu5000, xuu5100)
new_compare13(xuu50000, xuu51000, hh) → new_compare28(xuu50000, xuu51000, new_esEs4(xuu50000, xuu51000, hh), hh)
new_compare8(xuu50000, xuu51000, ty_@0) → new_compare12(xuu50000, xuu51000)
new_compare27(xuu50000, xuu51000, True) → EQ
new_esEs18(:(xuu3110000, xuu3110001), :(xuu6000, xuu6001), bda) → new_asAs(new_esEs22(xuu3110000, xuu6000, bda), new_esEs18(xuu3110001, xuu6001, bda))
new_esEs20(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_@0) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Left(xuu51000), bhh, bgf) → False
new_esEs24(xuu3110001, xuu6001, ty_Double) → new_esEs17(xuu3110001, xuu6001)
new_esEs16(False, False) → True
new_esEs24(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_esEs30(xuu311000, xuu600, ty_Int) → new_esEs13(xuu311000, xuu600)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_Int) → new_ltEs10(xuu50000, xuu51000)
new_primMinusNat0(Zero, Succ(xuu12200)) → Neg(Succ(xuu12200))
new_mkBalBranch6MkBalBranch30(xuu600, xuu61, xuu64, Branch(xuu530, xuu531, xuu532, xuu533, xuu534), True, h, ba, bb) → new_mkBalBranch6MkBalBranch110(xuu600, xuu61, xuu64, xuu530, xuu531, xuu532, xuu533, xuu534, new_lt11(new_sizeFM(xuu534, h, ba, bb), new_sr0(Pos(Succ(Succ(Zero))), new_sizeFM(xuu533, h, ba, bb))), h, ba, bb)
new_esEs31(xuu311000, xuu600, app(app(ty_Either, ccc), ccd)) → new_esEs6(xuu311000, xuu600, ccc, ccd)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Int) → new_esEs13(xuu3110000, xuu6000)
new_esEs29(xuu22, xuu17, ty_Float) → new_esEs19(xuu22, xuu17)
new_lt6(xuu50001, xuu51001, app(ty_[], ded)) → new_lt18(xuu50001, xuu51001, ded)
new_esEs25(xuu3110002, xuu6002, ty_Float) → new_esEs19(xuu3110002, xuu6002)
new_addToFM_C14(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, h, ba, bb) → new_mkBalBranch(xuu600, xuu61, xuu63, new_addToFM_C0(xuu64, Right(xuu311000), xuu31101, h, ba, bb), h, ba, bb)
new_addToFM_C0(Branch(Left(xuu600), xuu61, xuu62, xuu63, xuu64), Left(xuu311000), xuu31101, h, ba, bb) → new_addToFM_C23(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, new_esEs8(new_compare23(Left(xuu311000), Left(xuu600), new_esEs30(xuu311000, xuu600, h), h, ba), LT), h, ba, bb)
new_esEs25(xuu3110002, xuu6002, ty_Char) → new_esEs15(xuu3110002, xuu6002)
new_mkBalBranch6MkBalBranch50(xuu600, xuu61, xuu64, xuu53, False, h, ba, bb) → new_mkBalBranch6MkBalBranch40(xuu600, xuu61, xuu64, xuu53, new_gt(new_mkBalBranch6Size_r0(xuu600, xuu61, xuu64, xuu53, h, ba, bb), new_sr0(new_sIZE_RATIO, new_mkBalBranch6Size_l0(xuu600, xuu61, xuu64, xuu53, h, ba, bb))), h, ba, bb)
new_esEs31(xuu311000, xuu600, ty_@0) → new_esEs12(xuu311000, xuu600)
new_compare28(xuu50000, xuu51000, False, hh) → new_compare112(xuu50000, xuu51000, new_ltEs8(xuu50000, xuu51000, hh), hh)
new_addListToFM_CAdd(xuu6, @2(xuu31100, xuu31101), h, ba, bb) → new_addToFM_C0(xuu6, xuu31100, xuu31101, h, ba, bb)
new_sizeFM(EmptyFM, h, ba, bb) → Pos(Zero)
new_ltEs20(xuu50002, xuu51002, ty_Int) → new_ltEs10(xuu50002, xuu51002)
new_ltEs12(EQ, LT) → False
new_compare14(xuu50000, xuu51000, bed, bee, bef) → new_compare29(xuu50000, xuu51000, new_esEs5(xuu50000, xuu51000, bed, bee, bef), bed, bee, bef)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Bool) → new_ltEs15(xuu50000, xuu51000)
new_ltEs8(Nothing, Nothing, dgd) → True
new_lt20(xuu50000, xuu51000, ty_Integer) → new_lt12(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, app(app(ty_Either, dca), dcb)) → new_esEs6(xuu39, xuu34, dca, dcb)
new_esEs31(xuu311000, xuu600, app(ty_Maybe, cch)) → new_esEs4(xuu311000, xuu600, cch)
new_ltEs8(Just(xuu50000), Just(xuu51000), ty_@0) → new_ltEs7(xuu50000, xuu51000)
new_esEs25(xuu3110002, xuu6002, app(app(app(ty_@3, cgc), cgd), cge)) → new_esEs5(xuu3110002, xuu6002, cgc, cgd, cge)
new_ltEs20(xuu50002, xuu51002, app(ty_Ratio, deg)) → new_ltEs6(xuu50002, xuu51002, deg)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs22(xuu3110000, xuu6000, app(app(ty_Either, bdd), bde)) → new_esEs6(xuu3110000, xuu6000, bdd, bde)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Float) → new_esEs19(xuu3110000, xuu6000)
new_esEs23(xuu3110000, xuu6000, ty_Bool) → new_esEs16(xuu3110000, xuu6000)
new_esEs26(xuu50000, xuu51000, ty_Float) → new_esEs19(xuu50000, xuu51000)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_Int, baa) → new_esEs13(xuu3110000, xuu6000)
new_esEs4(Just(xuu3110000), Just(xuu6000), app(app(ty_@2, bfh), bga)) → new_esEs7(xuu3110000, xuu6000, bfh, bga)
new_compare112(xuu50000, xuu51000, False, hh) → GT
new_esEs10(xuu50001, xuu51001, ty_Int) → new_esEs13(xuu50001, xuu51001)
new_ltEs5(xuu5000, xuu5100, ty_Float) → new_ltEs18(xuu5000, xuu5100)
new_esEs31(xuu311000, xuu600, app(ty_Ratio, ccb)) → new_esEs11(xuu311000, xuu600, ccb)
new_esEs10(xuu50001, xuu51001, ty_Integer) → new_esEs14(xuu50001, xuu51001)
new_addToFM_C25(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, h, ba, bb) → new_mkBalBranch(xuu600, xuu61, new_addToFM_C0(xuu63, Right(xuu311000), xuu31101, h, ba, bb), xuu64, h, ba, bb)
new_esEs30(xuu311000, xuu600, ty_Ordering) → new_esEs8(xuu311000, xuu600)
new_esEs26(xuu50000, xuu51000, app(ty_Ratio, chc)) → new_esEs11(xuu50000, xuu51000, chc)
new_esEs20(xuu3110000, xuu6000, app(app(ty_@2, ea), eb)) → new_esEs7(xuu3110000, xuu6000, ea, eb)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(ty_[], bbe)) → new_esEs18(xuu3110000, xuu6000, bbe)
new_esEs10(xuu50001, xuu51001, ty_Ordering) → new_esEs8(xuu50001, xuu51001)
new_esEs26(xuu50000, xuu51000, app(app(ty_Either, chh), daa)) → new_esEs6(xuu50000, xuu51000, chh, daa)
new_compare23(Right(xuu5000), Right(xuu5100), False, dga, dgb) → new_compare11(xuu5000, xuu5100, new_ltEs5(xuu5000, xuu5100, dgb), dga, dgb)
new_mkBalBranch6MkBalBranch30(xuu600, xuu61, xuu64, EmptyFM, True, h, ba, bb) → error([])
new_esEs29(xuu22, xuu17, app(ty_[], gc)) → new_esEs18(xuu22, xuu17, gc)
new_primPlusNat1(Zero, Zero) → Zero
new_esEs27(xuu3110000, xuu6000, ty_Integer) → new_esEs14(xuu3110000, xuu6000)
new_asAs(True, xuu149) → xuu149
new_esEs26(xuu50000, xuu51000, app(app(app(ty_@3, che), chf), chg)) → new_esEs5(xuu50000, xuu51000, che, chf, chg)
new_primMulNat0(Succ(xuu311000100), Succ(xuu600100)) → new_primPlusNat0(new_primMulNat0(xuu311000100, Succ(xuu600100)), xuu600100)
new_esEs9(xuu50000, xuu51000, ty_Bool) → new_esEs16(xuu50000, xuu51000)
new_esEs10(xuu50001, xuu51001, app(app(ty_Either, deb), dec)) → new_esEs6(xuu50001, xuu51001, deb, dec)
new_esEs6(Left(xuu3110000), Left(xuu6000), ty_@0, baa) → new_esEs12(xuu3110000, xuu6000)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(ty_[], cah)) → new_ltEs17(xuu50000, xuu51000, cah)
new_esEs10(xuu50001, xuu51001, app(ty_Ratio, dde)) → new_esEs11(xuu50001, xuu51001, dde)
new_esEs29(xuu22, xuu17, app(ty_Ratio, gd)) → new_esEs11(xuu22, xuu17, gd)
new_esEs4(Just(xuu3110000), Just(xuu6000), ty_Char) → new_esEs15(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, app(ty_[], bc)) → new_ltEs17(xuu5000, xuu5100, bc)
new_lt20(xuu50000, xuu51000, ty_Char) → new_lt15(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(ty_Ratio, bge), bgf) → new_ltEs6(xuu50000, xuu51000, bge)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, app(ty_Ratio, caa)) → new_ltEs6(xuu50000, xuu51000, caa)
new_fsEs(xuu164) → new_not(new_esEs8(xuu164, GT))
new_esEs23(xuu3110000, xuu6000, app(app(app(ty_@3, cdg), cdh), cea)) → new_esEs5(xuu3110000, xuu6000, cdg, cdh, cea)
new_compare28(xuu50000, xuu51000, True, hh) → EQ
new_lt5(xuu50000, xuu51000, ty_@0) → new_lt8(xuu50000, xuu51000)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Bool, bgf) → new_ltEs15(xuu50000, xuu51000)
new_mkBalBranch6MkBalBranch5(xuu600, xuu61, xuu64, xuu45, True, h, ba, bb) → new_mkBranch(Zero, Right(xuu600), xuu61, xuu45, xuu64, app(app(ty_Either, h), ba), bb)
new_esEs30(xuu311000, xuu600, app(app(app(ty_@3, cbf), cbg), cbh)) → new_esEs5(xuu311000, xuu600, cbf, cbg, cbh)
new_esEs29(xuu22, xuu17, app(ty_Maybe, hb)) → new_esEs4(xuu22, xuu17, hb)
new_lt20(xuu50000, xuu51000, app(ty_Ratio, chc)) → new_lt7(xuu50000, xuu51000, chc)
new_ltEs13(Left(xuu50000), Left(xuu51000), app(app(ty_@2, bhf), bhg), bgf) → new_ltEs19(xuu50000, xuu51000, bhf, bhg)
new_esEs30(xuu311000, xuu600, ty_Integer) → new_esEs14(xuu311000, xuu600)
new_esEs23(xuu3110000, xuu6000, app(ty_[], cdc)) → new_esEs18(xuu3110000, xuu6000, cdc)
new_mkBalBranch(xuu600, xuu61, xuu53, xuu64, h, ba, bb) → new_mkBalBranch6MkBalBranch50(xuu600, xuu61, xuu64, xuu53, new_esEs8(new_primCmpInt0(xuu53, xuu600, xuu61, xuu64, h, ba, bb), LT), h, ba, bb)
new_primCompAux00(xuu205, GT) → GT
new_esEs28(xuu3110001, xuu6001, ty_Integer) → new_esEs14(xuu3110001, xuu6001)
new_compare18(Char(xuu50000), Char(xuu51000)) → new_primCmpNat2(xuu50000, xuu51000)
new_esEs32(xuu39, xuu34, ty_Int) → new_esEs13(xuu39, xuu34)
new_esEs21(xuu3110001, xuu6001, app(ty_Ratio, ed)) → new_esEs11(xuu3110001, xuu6001, ed)
new_ltEs13(Right(xuu50000), Right(xuu51000), bhh, ty_Double) → new_ltEs16(xuu50000, xuu51000)
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, ty_Ordering) → new_esEs8(xuu3110000, xuu6000)
new_ltEs4(xuu5000, xuu5100, ty_Ordering) → new_ltEs12(xuu5000, xuu5100)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs6(Right(xuu3110000), Right(xuu6000), bbd, app(app(app(ty_@3, bca), bcb), bcc)) → new_esEs5(xuu3110000, xuu6000, bca, bcb, bcc)
new_ltEs13(Left(xuu50000), Left(xuu51000), ty_Char, bgf) → new_ltEs14(xuu50000, xuu51000)
new_esEs29(xuu22, xuu17, ty_Ordering) → new_esEs8(xuu22, xuu17)
new_ltEs4(xuu5000, xuu5100, ty_Integer) → new_ltEs11(xuu5000, xuu5100)
new_addToFM_C24(xuu600, xuu61, xuu62, xuu63, xuu64, xuu311000, xuu31101, True, h, ba, bb) → new_mkBalBranch0(xuu600, xuu61, new_addToFM_C0(xuu63, Left(xuu311000), xuu31101, h, ba, bb), xuu64, h, ba, bb)
new_esEs22(xuu3110000, xuu6000, app(ty_Ratio, bdc)) → new_esEs11(xuu3110000, xuu6000, bdc)
new_primCmpInt0(EmptyFM, xuu600, xuu61, xuu64, h, ba, bb) → new_primCmpInt(new_primPlusInt(Pos(Zero), new_mkBalBranch6Size_r0(xuu600, xuu61, xuu64, EmptyFM, h, ba, bb)), Pos(Succ(Succ(Zero))))
new_esEs24(xuu3110001, xuu6001, ty_@0) → new_esEs12(xuu3110001, xuu6001)
new_esEs10(xuu50001, xuu51001, app(ty_Maybe, ddf)) → new_esEs4(xuu50001, xuu51001, ddf)
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_esEs30(xuu311000, xuu600, ty_Char) → new_esEs15(xuu311000, xuu600)
new_esEs31(xuu311000, xuu600, app(app(ty_@2, cda), cdb)) → new_esEs7(xuu311000, xuu600, cda, cdb)
new_primCmpInt(Neg(Succ(xuu5000)), Pos(xuu510)) → LT
new_lt14(xuu50000, xuu51000, ff, fg) → new_esEs8(new_compare17(xuu50000, xuu51000, ff, fg), LT)
new_not(True) → False
new_lt6(xuu50001, xuu51001, ty_Int) → new_lt11(xuu50001, xuu51001)
new_primMinusNat0(Succ(xuu53200), Succ(xuu12200)) → new_primMinusNat0(xuu53200, xuu12200)

The set Q consists of the following terms:

new_ltEs20(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Double, x2)
new_mkBalBranch6MkBalBranch40(x0, x1, Branch(x2, x3, x4, x5, x6), x7, True, x8, x9, x10)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), x10, x11, False, x12, x13, x14)
new_esEs4(Just(x0), Just(x1), ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3))
new_mkBalBranch6MkBalBranch30(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9, x10)
new_esEs4(Nothing, Just(x0), x1)
new_esEs20(x0, x1, app(ty_Maybe, x2))
new_addToFM_C0(Branch(Right(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8, x9)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Int)
new_ltEs5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_primEqNat0(Zero, Succ(x0))
new_esEs30(x0, x1, app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs8(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_primMinusNat0(Zero, Zero)
new_lt5(x0, x1, ty_Ordering)
new_esEs22(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_ltEs12(LT, LT)
new_esEs6(Left(x0), Left(x1), ty_Bool, x2)
new_esEs10(x0, x1, app(ty_[], x2))
new_lt5(x0, x1, ty_Double)
new_compare8(x0, x1, ty_Integer)
new_mkBalBranch6MkBalBranch4(x0, x1, EmptyFM, x2, True, x3, x4, x5)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_fsEs(x0)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs31(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), [], x2)
new_ltEs4(x0, x1, ty_Bool)
new_esEs28(x0, x1, ty_Int)
new_esEs6(Right(x0), Right(x1), x2, ty_Float)
new_ltEs13(Right(x0), Right(x1), x2, ty_@0)
new_esEs4(Just(x0), Just(x1), ty_Float)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_primPlusNat1(Succ(x0), Zero)
new_ltEs13(Right(x0), Right(x1), x2, ty_Int)
new_esEs25(x0, x1, ty_Double)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, False, x4, x5, x6)
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_esEs31(x0, x1, ty_@0)
new_esEs31(x0, x1, ty_Integer)
new_primCmpNat0(x0, Zero)
new_addToFM_C13(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt5(x0, x1, ty_Bool)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_ltEs21(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_@0)
new_ltEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs4(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_compare13(x0, x1, x2)
new_esEs18([], :(x0, x1), x2)
new_ltEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs30(x0, x1, app(ty_Ratio, x2))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primCmpInt0(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8, x9, x10)
new_sizeFM(EmptyFM, x0, x1, x2)
new_compare114(x0, x1, False, x2, x3, x4)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt5(x0, x1, ty_@0)
new_lt5(x0, x1, ty_Char)
new_esEs9(x0, x1, app(ty_[], x2))
new_ltEs15(True, True)
new_esEs23(x0, x1, ty_Double)
new_esEs4(Just(x0), Just(x1), app(ty_[], x2))
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs29(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_Char)
new_esEs4(Just(x0), Just(x1), ty_@0)
new_esEs32(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), ty_Integer, x2)
new_esEs4(Nothing, Nothing, x0)
new_primCompAux00(x0, LT)
new_esEs26(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C15(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs21(x0, x1, app(ty_Ratio, x2))
new_primCmpInt1(EmptyFM, x0, x1, x2, x3, x4, x5)
new_esEs10(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs8(GT, GT)
new_ltEs7(x0, x1)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs20(x0, x1, app(ty_[], x2))
new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_asAs(True, x0)
new_ltEs15(False, False)
new_esEs6(Right(x0), Right(x1), x2, ty_Char)
new_esEs4(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_ltEs12(GT, GT)
new_compare15(x0, x1)
new_addListToFM0(x0, x1, x2)
new_esEs30(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Ordering)
new_lt19(x0, x1, x2, x3)
new_esEs9(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Double)
new_primCmpNat1(Succ(x0), x1)
new_compare210(x0, x1, False, x2, x3)
new_addToFM_C26(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_compare4([], [], x0)
new_esEs6(Right(x0), Right(x1), x2, ty_Int)
new_esEs8(LT, LT)
new_esEs4(Just(x0), Just(x1), app(ty_Maybe, x2))
new_compare29(x0, x1, True, x2, x3, x4)
new_ltEs21(x0, x1, ty_Char)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Ordering)
new_lt9(x0, x1, x2)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, x3, False, x4, x5, x6)
new_mkBalBranch0(x0, x1, x2, x3, x4, x5, x6)
new_esEs20(x0, x1, ty_Double)
new_mkBalBranch6MkBalBranch50(x0, x1, x2, x3, True, x4, x5, x6)
new_lt5(x0, x1, ty_Integer)
new_esEs23(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Int)
new_esEs29(x0, x1, ty_@0)
new_esEs16(True, False)
new_esEs16(False, True)
new_esEs32(x0, x1, app(ty_Ratio, x2))
new_esEs22(x0, x1, ty_Char)
new_compare8(x0, x1, app(app(ty_Either, x2), x3))
new_compare28(x0, x1, False, x2)
new_compare26(x0, x1, False)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13, x14)
new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs30(x0, x1, ty_@0)
new_primCmpInt1(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8, x9, x10)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_compare24(Double(x0, x1), Double(x2, x3))
new_esEs24(x0, x1, ty_Char)
new_compare29(x0, x1, False, x2, x3, x4)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs8(LT, GT)
new_esEs8(GT, LT)
new_primMinusNat0(Succ(x0), Zero)
new_ltEs4(x0, x1, ty_Integer)
new_lt6(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs31(x0, x1, ty_Bool)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs16(True, True)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Char)
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Ordering)
new_esEs32(x0, x1, app(ty_Maybe, x2))
new_esEs32(x0, x1, ty_Ordering)
new_esEs10(x0, x1, ty_Float)
new_compare8(x0, x1, ty_Bool)
new_ltEs5(x0, x1, app(ty_Maybe, x2))
new_primMinusNat0(Zero, Succ(x0))
new_esEs30(x0, x1, ty_Integer)
new_esEs4(Just(x0), Just(x1), ty_Double)
new_primEqNat0(Zero, Zero)
new_primPlusNat1(Succ(x0), Succ(x1))
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Char)
new_lt20(x0, x1, ty_Double)
new_esEs21(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_esEs20(x0, x1, app(app(ty_Either, x2), x3))
new_addToFM_C14(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_ltEs9(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs5(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C13(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, EmptyFM, x5, x6, False, x7, x8, x9)
new_ltEs8(Just(x0), Just(x1), app(ty_[], x2))
new_compare12(@0, @0)
new_ltEs8(Just(x0), Just(x1), ty_@0)
new_esEs24(x0, x1, ty_Double)
new_compare25(x0, x1, x2, x3)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs29(x0, x1, ty_Double)
new_esEs12(@0, @0)
new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, ty_Bool)
new_primMulNat0(Zero, Zero)
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Left(x0), Left(x1), ty_Ordering, x2)
new_esEs9(x0, x1, ty_Float)
new_esEs32(x0, x1, ty_Double)
new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs32(x0, x1, ty_Int)
new_esEs9(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_compare4(:(x0, x1), [], x2)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_esEs31(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C16(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_compare114(x0, x1, True, x2, x3, x4)
new_esEs24(x0, x1, ty_Float)
new_ltEs4(x0, x1, app(app(ty_Either, x2), x3))
new_esEs26(x0, x1, ty_Double)
new_ltEs13(Left(x0), Left(x1), ty_@0, x2)
new_ltEs13(Left(x0), Left(x1), ty_Double, x2)
new_sIZE_RATIO
new_lt5(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, ty_Float)
new_primCmpNat2(Zero, Succ(x0))
new_lt6(x0, x1, ty_Float)
new_mkBalBranch6Size_l0(x0, x1, x2, x3, x4, x5, x6)
new_esEs23(x0, x1, ty_Char)
new_compare8(x0, x1, ty_Char)
new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare112(x0, x1, False, x2)
new_esEs21(x0, x1, app(app(ty_@2, x2), x3))
new_esEs24(x0, x1, ty_Integer)
new_primMulNat0(Zero, Succ(x0))
new_ltEs21(x0, x1, ty_Double)
new_esEs24(x0, x1, ty_Bool)
new_mkBalBranch6MkBalBranch4(x0, x1, Branch(x2, x3, x4, x5, x6), x7, True, x8, x9, x10)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6, x7)
new_esEs6(Left(x0), Left(x1), ty_Float, x2)
new_esEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs17(Double(x0, x1), Double(x2, x3))
new_lt6(x0, x1, ty_Double)
new_lt18(x0, x1, x2)
new_addListToFM_CAdd(x0, @2(x1, x2), x3, x4, x5)
new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5, x6)
new_ltEs4(x0, x1, ty_Int)
new_compare8(x0, x1, ty_Int)
new_primCmpNat1(Zero, x0)
new_lt5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1)
new_ltEs4(x0, x1, ty_Double)
new_esEs23(x0, x1, ty_Bool)
new_ltEs4(x0, x1, app(ty_[], x2))
new_esEs11(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Integer)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs5(x0, x1, ty_Bool)
new_compare27(x0, x1, False)
new_esEs21(x0, x1, ty_Ordering)
new_ltEs13(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs8(Just(x0), Just(x1), ty_Integer)
new_ltEs18(x0, x1)
new_esEs9(x0, x1, ty_Int)
new_esEs26(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs5(x0, x1, ty_Integer)
new_esEs21(x0, x1, ty_Integer)
new_esEs32(x0, x1, ty_Integer)
new_ltEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_compare4([], :(x0, x1), x2)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, EmptyFM, True, x3, x4, x5)
new_lt8(x0, x1)
new_mkBalBranch(x0, x1, x2, x3, x4, x5, x6)
new_esEs25(x0, x1, ty_Float)
new_compare18(Char(x0), Char(x1))
new_esEs32(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_Char)
new_esEs23(x0, x1, ty_Ordering)
new_esEs20(x0, x1, ty_Float)
new_esEs31(x0, x1, ty_Float)
new_primPlusNat1(Zero, Zero)
new_ltEs8(Just(x0), Just(x1), ty_Char)
new_addToFM_C15(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_primCmpNat2(Zero, Zero)
new_ltEs13(Left(x0), Left(x1), ty_Int, x2)
new_mkBalBranch6MkBalBranch30(x0, x1, x2, x3, False, x4, x5, x6)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, EmptyFM, True, x3, x4, x5)
new_compare8(x0, x1, ty_Ordering)
new_primPlusInt(Neg(x0), Pos(x1))
new_primPlusInt(Pos(x0), Neg(x1))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, app(ty_Maybe, x2))
new_ltEs5(x0, x1, ty_Int)
new_addToFM_C24(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs20(x0, x1, app(ty_Ratio, x2))
new_compare26(x0, x1, True)
new_lt6(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(x0, x1, app(app(ty_Either, x2), x3))
new_esEs27(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs4(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Integer)
new_pePe(True, x0)
new_esEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs30(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs8(Just(x0), Just(x1), ty_Int)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_primCompAux00(x0, GT)
new_esEs25(x0, x1, app(ty_[], x2))
new_compare10(x0, x1, False, x2, x3)
new_esEs26(x0, x1, ty_Bool)
new_ltEs8(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs30(x0, x1, ty_Char)
new_esEs26(x0, x1, ty_Int)
new_esEs22(x0, x1, ty_Bool)
new_compare8(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs12(EQ, GT)
new_ltEs12(GT, EQ)
new_esEs22(x0, x1, ty_@0)
new_compare110(x0, x1, True)
new_esEs6(Right(x0), Right(x1), x2, ty_Bool)
new_esEs31(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_lt6(x0, x1, ty_@0)
new_mkBalBranch6Size_r0(x0, x1, x2, x3, x4, x5, x6)
new_lt6(x0, x1, app(ty_[], x2))
new_primPlusNat1(Zero, Succ(x0))
new_ltEs15(False, True)
new_ltEs15(True, False)
new_esEs9(x0, x1, ty_@0)
new_lt11(x0, x1)
new_esEs4(Just(x0), Just(x1), ty_Ordering)
new_addToFM_C25(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_lt20(x0, x1, ty_Float)
new_lt7(x0, x1, x2)
new_ltEs8(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_ltEs13(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs25(x0, x1, ty_Ordering)
new_esEs4(Just(x0), Just(x1), ty_Bool)
new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMinusNat0(Succ(x0), Succ(x1))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_compare113(x0, x1, True, x2, x3)
new_ltEs14(x0, x1)
new_esEs4(Just(x0), Just(x1), app(ty_Ratio, x2))
new_primEqInt(Pos(Zero), Neg(Zero))
new_primEqInt(Neg(Zero), Pos(Zero))
new_primPlusNat0(Succ(x0), x1)
new_ltEs19(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs6(Right(x0), Right(x1), x2, ty_Double)
new_mkBalBranch6MkBalBranch40(x0, x1, x2, x3, False, x4, x5, x6)
new_gt(x0, x1)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, EmptyFM, x5, x6, False, x7, x8, x9)
new_primCmpNat2(Succ(x0), Succ(x1))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs8(Just(x0), Nothing, x1)
new_esEs20(x0, x1, ty_Int)
new_addToFM_C23(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_esEs30(x0, x1, ty_Float)
new_lt16(x0, x1)
new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs9(x0, x1, ty_Double)
new_ltEs8(Just(x0), Just(x1), ty_Float)
new_esEs31(x0, x1, ty_Char)
new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs26(x0, x1, ty_Ordering)
new_ltEs5(x0, x1, ty_Float)
new_esEs22(x0, x1, ty_Int)
new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, ty_@0)
new_lt13(x0, x1)
new_ltEs13(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs8(Nothing, Just(x0), x1)
new_esEs25(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_esEs8(EQ, EQ)
new_esEs4(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), x10, x11, False, x12, x13, x14)
new_compare8(x0, x1, app(ty_Maybe, x2))
new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_compare112(x0, x1, True, x2)
new_primPlusNat0(Zero, x0)
new_esEs30(x0, x1, app(ty_Maybe, x2))
new_primPlusInt(Neg(x0), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_lt20(x0, x1, ty_@0)
new_primCompAux00(x0, EQ)
new_emptyFM(x0, x1, x2)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_primCompAux0(x0, x1, x2, x3)
new_compare23(x0, x1, True, x2, x3)
new_esEs6(Right(x0), Right(x1), x2, ty_@0)
new_ltEs21(x0, x1, ty_@0)
new_ltEs13(Left(x0), Left(x1), ty_Float, x2)
new_esEs31(x0, x1, app(ty_Ratio, x2))
new_compare14(x0, x1, x2, x3, x4)
new_lt6(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Float)
new_lt6(x0, x1, ty_Int)
new_esEs22(x0, x1, app(ty_[], x2))
new_ltEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_lt6(x0, x1, ty_Bool)
new_ltEs4(x0, x1, app(ty_Maybe, x2))
new_lt4(x0, x1)
new_esEs6(Left(x0), Left(x1), ty_Char, x2)
new_esEs15(Char(x0), Char(x1))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare23(Right(x0), Right(x1), False, x2, x3)
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8, x9)
new_esEs4(Just(x0), Just(x1), ty_Int)
new_esEs20(x0, x1, ty_Bool)
new_lt14(x0, x1, x2, x3)
new_esEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs4(x0, x1, ty_Float)
new_addToFM_C26(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_ltEs4(x0, x1, ty_@0)
new_addToFM_C25(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_compare9(:%(x0, x1), :%(x2, x3), ty_Int)
new_esEs25(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Int)
new_ltEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs13(Right(x0), Right(x1), x2, ty_Bool)
new_esEs21(x0, x1, ty_Float)
new_esEs20(x0, x1, ty_Ordering)
new_primPlusInt(Pos(x0), Pos(x1))
new_compare111(x0, x1, False)
new_ltEs20(x0, x1, ty_Integer)
new_mkBalBranch6MkBalBranch010(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_ltEs13(Right(x0), Left(x1), x2, x3)
new_ltEs13(Left(x0), Right(x1), x2, x3)
new_esEs32(x0, x1, app(app(ty_@2, x2), x3))
new_esEs8(GT, EQ)
new_esEs8(EQ, GT)
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs21(x0, x1, ty_Bool)
new_primMulInt(Neg(x0), Neg(x1))
new_lt6(x0, x1, app(app(ty_@2, x2), x3))
new_esEs22(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Char)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_primEqNat0(Succ(x0), Zero)
new_compare10(x0, x1, True, x2, x3)
new_ltEs8(Just(x0), Just(x1), ty_Double)
new_lt12(x0, x1)
new_ltEs10(x0, x1)
new_esEs6(Left(x0), Right(x1), x2, x3)
new_esEs6(Right(x0), Left(x1), x2, x3)
new_mkBalBranch6MkBalBranch3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9, x10)
new_esEs10(x0, x1, ty_Bool)
new_esEs26(x0, x1, ty_@0)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs26(x0, x1, ty_Integer)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs13(Left(x0), Left(x1), ty_Bool, x2)
new_lt20(x0, x1, ty_Bool)
new_primMulInt(Pos(x0), Pos(x1))
new_ltEs11(x0, x1)
new_esEs6(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs5(x0, x1, app(ty_[], x2))
new_ltEs13(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs4(x0, x1, app(app(ty_@2, x2), x3))
new_addToFM_C0(EmptyFM, x0, x1, x2, x3, x4)
new_sr(Integer(x0), Integer(x1))
new_esEs24(x0, x1, app(ty_[], x2))
new_esEs19(Float(x0, x1), Float(x2, x3))
new_compare111(x0, x1, True)
new_esEs23(x0, x1, ty_Float)
new_ltEs8(Just(x0), Just(x1), app(ty_Ratio, x2))
new_asAs(False, x0)
new_addToFM_C0(Branch(Right(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8, x9)
new_esEs20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, ty_Float)
new_sizeFM0(EmptyFM, x0, x1)
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs4(Just(x0), Nothing, x1)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_lt6(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, app(ty_[], x2))
new_esEs16(False, False)
new_ltEs8(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt6(x0, x1, ty_Integer)
new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_esEs24(x0, x1, ty_Ordering)
new_compare17(x0, x1, x2, x3)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, False, x4, x5, x6)
new_lt5(x0, x1, app(ty_Ratio, x2))
new_esEs26(x0, x1, ty_Char)
new_compare28(x0, x1, True, x2)
new_lt10(x0, x1, x2, x3, x4)
new_ltEs5(x0, x1, ty_Double)
new_esEs29(x0, x1, ty_Bool)
new_esEs20(x0, x1, ty_@0)
new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5, x6)
new_esEs26(x0, x1, app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3)
new_addToFM_C0(Branch(Left(x0), x1, x2, x3, x4), Left(x5), x6, x7, x8, x9)
new_compare23(Left(x0), Right(x1), False, x2, x3)
new_compare23(Right(x0), Left(x1), False, x2, x3)
new_esEs7(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs13(Left(x0), Left(x1), ty_Char, x2)
new_lt15(x0, x1)
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13, x14)
new_ltEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_lt20(x0, x1, ty_Integer)
new_ltEs17(x0, x1, x2)
new_ltEs20(x0, x1, ty_Double)
new_esEs26(x0, x1, app(ty_[], x2))
new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9, x10)
new_esEs21(x0, x1, ty_Double)
new_esEs25(x0, x1, app(app(ty_@2, x2), x3))
new_mkBalBranch6MkBalBranch110(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8, x9)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare8(x0, x1, app(ty_[], x2))
new_not(True)
new_esEs10(x0, x1, ty_@0)
new_lt6(x0, x1, ty_Ordering)
new_compare8(x0, x1, ty_Float)
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs5(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs20(x0, x1, app(ty_[], x2))
new_mkBalBranch6MkBalBranch40(x0, x1, EmptyFM, x2, True, x3, x4, x5)
new_addToFM_C14(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_lt5(x0, x1, ty_Int)
new_compare16(Integer(x0), Integer(x1))
new_esEs26(x0, x1, ty_Float)
new_esEs25(x0, x1, ty_Int)
new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_primCmpInt(Pos(Zero), Neg(Zero))
new_lt5(x0, x1, ty_Float)
new_not(False)
new_ltEs8(Just(x0), Just(x1), ty_Bool)
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_compare113(x0, x1, False, x2, x3)
new_esEs31(x0, x1, ty_Int)
new_ltEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_esEs14(Integer(x0), Integer(x1))
new_addToFM_C16(x0, x1, x2, x3, x4, x5, x6, False, x7, x8, x9)
new_lt5(x0, x1, app(ty_Maybe, x2))
new_esEs6(Left(x0), Left(x1), ty_@0, x2)
new_esEs30(x0, x1, ty_Int)
new_pePe(False, x0)
new_compare19(x0, x1)
new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_addToFM_C24(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_ltEs6(x0, x1, x2)
new_compare4(:(x0, x1), :(x2, x3), x4)
new_esEs32(x0, x1, ty_Bool)
new_ltEs5(x0, x1, app(ty_Ratio, x2))
new_esEs30(x0, x1, ty_Double)
new_compare8(x0, x1, ty_@0)
new_esEs6(Left(x0), Left(x1), ty_Int, x2)
new_ltEs5(x0, x1, ty_Char)
new_sr0(x0, x1)
new_esEs10(x0, x1, ty_Int)
new_esEs8(EQ, LT)
new_esEs8(LT, EQ)
new_esEs27(x0, x1, ty_Int)
new_primCmpNat2(Succ(x0), Zero)
new_esEs20(x0, x1, ty_Char)
new_ltEs4(x0, x1, ty_Char)
new_esEs26(x0, x1, app(ty_Ratio, x2))
new_sizeFM0(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primCmpInt0(EmptyFM, x0, x1, x2, x3, x4, x5)
new_ltEs16(x0, x1)
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, ty_Int)
new_lt6(x0, x1, ty_Char)
new_ltEs8(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs22(x0, x1, ty_Ordering)
new_compare23(Left(x0), Left(x1), False, x2, x3)
new_esEs30(x0, x1, app(ty_[], x2))
new_esEs21(x0, x1, ty_@0)
new_esEs9(x0, x1, ty_Bool)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_esEs6(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs8(Nothing, Nothing, x0)
new_esEs30(x0, x1, ty_Bool)
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_addToFM_C0(Branch(Left(x0), x1, x2, x3, x4), Right(x5), x6, x7, x8, x9)
new_esEs31(x0, x1, app(app(ty_Either, x2), x3))
new_compare7(x0, x1)
new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, True, x4, x5, x6)
new_esEs31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_Ordering)
new_esEs21(x0, x1, ty_Bool)
new_primMulNat0(Succ(x0), Zero)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_ltEs13(Right(x0), Right(x1), x2, ty_Double)
new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs32(x0, x1, app(ty_[], x2))
new_esEs18(:(x0, x1), :(x2, x3), x4)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_esEs24(x0, x1, ty_Int)
new_lt5(x0, x1, app(app(ty_Either, x2), x3))
new_esEs25(x0, x1, ty_@0)
new_lt5(x0, x1, app(ty_[], x2))
new_mkBalBranch6MkBalBranch4(x0, x1, x2, x3, False, x4, x5, x6)
new_esEs21(x0, x1, ty_Char)
new_primCmpNat0(x0, Succ(x1))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Zero), Pos(Zero))
new_esEs22(x0, x1, ty_Float)
new_ltEs12(GT, LT)
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs25(x0, x1, ty_Integer)
new_ltEs12(LT, GT)
new_ltEs5(x0, x1, ty_@0)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_compare8(x0, x1, ty_Double)
new_primEqNat0(Succ(x0), Succ(x1))
new_compare6(Float(x0, x1), Float(x2, x3))
new_esEs29(x0, x1, ty_Char)
new_esEs18([], [], x0)
new_esEs31(x0, x1, ty_Ordering)
new_ltEs13(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs6(Right(x0), Right(x1), x2, ty_Ordering)
new_compare11(x0, x1, False, x2, x3)
new_compare8(x0, x1, app(app(ty_@2, x2), x3))
new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs4(x0, x1, app(ty_Ratio, x2))
new_esEs29(x0, x1, ty_Int)
new_ltEs21(x0, x1, ty_Integer)
new_compare110(x0, x1, False)
new_esEs10(x0, x1, ty_Integer)
new_lt17(x0, x1)
new_esEs29(x0, x1, app(ty_[], x2))
new_mkBranch(x0, x1, x2, x3, x4, x5, x6)
new_addToFM_C23(x0, x1, x2, x3, x4, x5, x6, True, x7, x8, x9)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_esEs31(x0, x1, ty_Double)
new_esEs25(x0, x1, app(ty_Maybe, x2))
new_compare27(x0, x1, True)
new_compare210(x0, x1, True, x2, x3)
new_esEs22(x0, x1, ty_Double)
new_ltEs20(x0, x1, ty_Char)
new_esEs21(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: