YES 10.26
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
|
| ((foldFM_LE :: (Ord c, Ord b) => (Either b c -> d -> a -> a) -> a -> Either b c -> FiniteMap (Either b c) d -> a) :: (Ord b, Ord c) => (Either b c -> d -> a -> a) -> a -> Either b c -> FiniteMap (Either b c) d -> a) |
module FiniteMap where
| | import qualified Maybe
import qualified Prelude
|
| | data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)
|
| | instance (Eq a, Eq b) => Eq (FiniteMap a b) where
|
|
|
| (==) | fm_1 fm_2 | = | sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2 |
|
|
| | 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 |
|
| | foldFM_LE :: Ord c => (c -> a -> b -> b) -> b -> c -> FiniteMap c a -> b
| foldFM_LE | k z fr EmptyFM | = | z |
| foldFM_LE | k z fr (Branch key elt _ fm_l fm_r) | |
| | | key <= fr | = |
| foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | = |
|
|
|
| | sizeFM :: FiniteMap b a -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch _ _ size _ _) | = | size |
|
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 |
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
mainModule FiniteMap
|
| ((foldFM_LE :: (Ord d, Ord a) => (Either a d -> b -> c -> c) -> c -> Either a d -> FiniteMap (Either a d) b -> c) :: (Ord d, Ord a) => (Either a d -> b -> c -> c) -> c -> Either a d -> FiniteMap (Either a d) b -> 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 a b) where
|
|
|
| (==) | fm_1 fm_2 | = | sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2 |
|
|
| | fmToList :: FiniteMap a b -> [(a,b)]
| 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 |
|
| | foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c
| foldFM_LE | k z fr EmptyFM | = | z |
| foldFM_LE | k z fr (Branch key elt _ fm_l fm_r) | |
| | | key <= fr | = |
| foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | = |
|
|
|
| | sizeFM :: FiniteMap a b -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch _ _ size _ _) | = | size |
|
module Maybe where
| | import qualified FiniteMap
import qualified Prelude
|
Case Reductions:
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
|
| ((foldFM_LE :: (Ord c, Ord d) => (Either d c -> b -> a -> a) -> a -> Either d c -> FiniteMap (Either d c) b -> a) :: (Ord c, Ord d) => (Either d c -> b -> a -> a) -> a -> Either d c -> FiniteMap (Either d 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 a b) where
|
|
|
| (==) | fm_1 fm_2 | = | sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2 |
|
|
| | 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 _ fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord b => (b -> c -> a -> a) -> a -> b -> FiniteMap b c -> a
| foldFM_LE | k z fr EmptyFM | = | z |
| foldFM_LE | k z fr (Branch key elt _ fm_l fm_r) | |
| | | key <= fr | = |
| foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | = |
|
|
|
| | sizeFM :: FiniteMap a b -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch _ _ size _ _) | = | size |
|
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
|
| ((foldFM_LE :: (Ord d, Ord a) => (Either a d -> c -> b -> b) -> b -> Either a d -> FiniteMap (Either a d) c -> b) :: (Ord d, Ord a) => (Either a d -> c -> b -> b) -> b -> Either a d -> FiniteMap (Either a d) c -> b) |
module FiniteMap where
| | import qualified Maybe
import qualified Prelude
|
| | data FiniteMap a b = EmptyFM | Branch a b Int (FiniteMap a b) (FiniteMap a b)
|
| | instance (Eq a, Eq b) => Eq (FiniteMap a b) where
|
|
|
| (==) | fm_1 fm_2 | = | sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2 |
|
|
| | fmToList :: FiniteMap a b -> [(a,b)]
| fmToList | fm | = | foldFM fmToList0 [] fm |
|
| |
| fmToList0 | key elt rest | = | (key,elt) : rest |
|
| | foldFM :: (c -> a -> b -> b) -> b -> FiniteMap c a -> b
| foldFM | k z EmptyFM | = | z |
| foldFM | k z (Branch key elt _ fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b
| foldFM_LE | k z fr EmptyFM | = | z |
| foldFM_LE | k z fr (Branch key elt _ fm_l fm_r) | |
| | | key <= fr | = |
| foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | = |
|
|
|
| | sizeFM :: FiniteMap a b -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch _ _ size _ _) | = | size |
|
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
|
| ((foldFM_LE :: (Ord d, Ord b) => (Either d b -> a -> c -> c) -> c -> Either d b -> FiniteMap (Either d b) a -> c) :: (Ord b, Ord d) => (Either d b -> a -> c -> c) -> c -> Either d b -> FiniteMap (Either d b) a -> 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 |
|
|
| | 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 vw fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord b => (b -> c -> a -> a) -> a -> b -> FiniteMap b c -> a
| foldFM_LE | k z fr EmptyFM | = | z |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) | |
| | | key <= fr | = |
| foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | = |
|
|
|
| | sizeFM :: FiniteMap a b -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch vy vz size wu wv) | = | size |
|
module Maybe where
| | import qualified FiniteMap
import qualified Prelude
|
Cond Reductions:
The following Function with conditions
| foldFM_LE | k z fr EmptyFM | = z |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) |
| | | key <= fr |
| = | foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
|
| | | otherwise | |
|
is transformed to
| foldFM_LE | k z fr EmptyFM | = foldFM_LE3 k z fr EmptyFM |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) | = foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) |
| foldFM_LE0 | k z fr key elt vx fm_l fm_r True | = foldFM_LE k z fr fm_l |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r True | = foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r False | = foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise |
| foldFM_LE2 | k z fr (Branch key elt vx fm_l fm_r) | = foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr) |
| foldFM_LE3 | k z fr EmptyFM | = z |
| foldFM_LE3 | vvu vvv vvw vvx | = foldFM_LE2 vvu vvv vvw vvx |
The following Function with conditions
| compare | x y |
| | | x == y | |
| | | x <= y | |
| | | otherwise | |
|
is transformed to
| compare | x y | = compare3 x y |
| 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 vvy | = gcd'2 x vvy |
| gcd' | x y | = gcd'0 x y |
| gcd'0 | x y | = gcd' y (x `rem` y) |
| gcd'1 | True x vvy | = x |
| gcd'1 | vvz vwu vwv | = gcd'0 vwu vwv |
| gcd'2 | x vvy | = gcd'1 (vvy == 0) x vvy |
| gcd'2 | vww vwx | = gcd'0 vww vwx |
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 | vwy vwz | = gcd3 vwy vwz |
| gcd | x y | = gcd0 x y |
| gcd0 | x y | =
| gcd' (abs x) (abs y) |
| where |
| gcd' | x vvy | = gcd'2 x vvy |
| gcd' | x y | = gcd'0 x y |
|
|
| gcd'0 | x y | = gcd' y (x `rem` y) |
|
|
| gcd'1 | True x vvy | = x |
| gcd'1 | vvz vwu vwv | = gcd'0 vwu vwv |
|
|
| gcd'2 | x vvy | = gcd'1 (vvy == 0) x vvy |
| gcd'2 | vww vwx | = gcd'0 vww vwx |
|
|
| gcd1 | True vwy vwz | = error [] |
| gcd1 | vxu vxv vxw | = gcd0 vxv vxw |
| gcd2 | True vwy vwz | = gcd1 (vwz == 0) vwy vwz |
| gcd2 | vxx vxy vxz | = gcd0 vxy vxz |
| gcd3 | vwy vwz | = gcd2 (vwy == 0) vwy vwz |
| gcd3 | vyu vyv | = gcd0 vyu vyv |
The following Function with conditions
is transformed to
| 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
is transformed to
| undefined0 | True | = undefined |
| undefined1 | | = undefined0 False |
The following Function with conditions
| reduce | x y |
| | | y == 0 | |
| | | otherwise |
| = | x `quot` d :% (y `quot` d) |
|
|
| where | |
|
is transformed to
| reduce2 | x y | =
| reduce1 x y (y == 0) |
| where | |
|
| 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
|
| ((foldFM_LE :: (Ord d, Ord a) => (Either d a -> c -> b -> b) -> b -> Either d a -> FiniteMap (Either d a) c -> b) :: (Ord d, Ord a) => (Either d a -> c -> b -> b) -> b -> Either d a -> FiniteMap (Either d 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 a b) where
|
|
|
| (==) | fm_1 fm_2 | = | sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2 |
|
|
| | 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 vw fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord a => (a -> c -> b -> b) -> b -> a -> FiniteMap a c -> b
| foldFM_LE | k z fr EmptyFM | = | foldFM_LE3 k z fr EmptyFM |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) |
|
| |
| foldFM_LE0 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k z fr fm_l |
|
| |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r False | = | foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise |
|
| |
| foldFM_LE2 | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr) |
|
| |
| foldFM_LE3 | k z fr EmptyFM | = | z |
| foldFM_LE3 | vvu vvv vvw vvx | = | foldFM_LE2 vvu vvv vvw vvx |
|
| | sizeFM :: FiniteMap b a -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch vy vz size wu wv) | = | size |
|
module Maybe where
| | import qualified FiniteMap
import qualified Prelude
|
Let/Where Reductions:
The bindings of the following Let/Where expression
| reduce1 x y (y == 0) |
| where | |
|
| reduce0 | x y True | = x `quot` d :% (y `quot` d) |
|
|
| reduce1 | x y True | = error [] |
| reduce1 | x y False | = reduce0 x y otherwise |
|
are unpacked to the following functions on top level
| reduce2Reduce0 | vyw vyx x y True | = x `quot` reduce2D vyw vyx :% (y `quot` reduce2D vyw vyx) |
| reduce2D | vyw vyx | = gcd vyw vyx |
| reduce2Reduce1 | vyw vyx x y True | = error [] |
| reduce2Reduce1 | vyw vyx x y False | = reduce2Reduce0 vyw vyx x y otherwise |
The bindings of the following Let/Where expression
| gcd' (abs x) (abs y) |
| where |
| gcd' | x vvy | = gcd'2 x vvy |
| gcd' | x y | = gcd'0 x y |
|
|
| gcd'0 | x y | = gcd' y (x `rem` y) |
|
|
| gcd'1 | True x vvy | = x |
| gcd'1 | vvz vwu vwv | = gcd'0 vwu vwv |
|
|
| gcd'2 | x vvy | = gcd'1 (vvy == 0) x vvy |
| gcd'2 | vww vwx | = gcd'0 vww vwx |
|
are unpacked to the following functions on top level
| gcd0Gcd'0 | x y | = gcd0Gcd' y (x `rem` y) |
| gcd0Gcd'1 | True x vvy | = x |
| gcd0Gcd'1 | vvz vwu vwv | = gcd0Gcd'0 vwu vwv |
| gcd0Gcd'2 | x vvy | = gcd0Gcd'1 (vvy == 0) x vvy |
| gcd0Gcd'2 | vww vwx | = gcd0Gcd'0 vww vwx |
| gcd0Gcd' | x vvy | = gcd0Gcd'2 x vvy |
| gcd0Gcd' | x y | = gcd0Gcd'0 x y |
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
mainModule FiniteMap
|
| ((foldFM_LE :: (Ord b, Ord c) => (Either b c -> d -> a -> a) -> a -> Either b c -> FiniteMap (Either b c) d -> a) :: (Ord b, Ord c) => (Either b c -> d -> a -> a) -> a -> Either b c -> FiniteMap (Either b c) d -> 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 |
|
|
| | 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 vw fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord b => (b -> a -> c -> c) -> c -> b -> FiniteMap b a -> c
| foldFM_LE | k z fr EmptyFM | = | foldFM_LE3 k z fr EmptyFM |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) |
|
| |
| foldFM_LE0 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k z fr fm_l |
|
| |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r False | = | foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise |
|
| |
| foldFM_LE2 | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr) |
|
| |
| foldFM_LE3 | k z fr EmptyFM | = | z |
| foldFM_LE3 | vvu vvv vvw vvx | = | foldFM_LE2 vvu vvv vvw vvx |
|
| | sizeFM :: FiniteMap b a -> Int
| sizeFM | EmptyFM | = | 0 |
| sizeFM | (Branch vy vz size wu wv) | = | size |
|
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
|
| (foldFM_LE :: (Ord b, Ord c) => (Either c b -> d -> a -> a) -> a -> Either c b -> FiniteMap (Either c b) d -> 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 |
|
|
| | fmToList :: FiniteMap a b -> [(a,b)]
| fmToList | fm | = | foldFM fmToList0 [] fm |
|
| |
| fmToList0 | key elt rest | = | (key,elt) : rest |
|
| | foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c
| foldFM | k z EmptyFM | = | z |
| foldFM | k z (Branch key elt vw fm_l fm_r) | = | foldFM k (k key elt (foldFM k z fm_r)) fm_l |
|
| | foldFM_LE :: Ord a => (a -> b -> c -> c) -> c -> a -> FiniteMap a b -> c
| foldFM_LE | k z fr EmptyFM | = | foldFM_LE3 k z fr EmptyFM |
| foldFM_LE | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE2 k z fr (Branch key elt vx fm_l fm_r) |
|
| |
| foldFM_LE0 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k z fr fm_l |
|
| |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r True | = | foldFM_LE k (k key elt (foldFM_LE k z fr fm_l)) fr fm_r |
| foldFM_LE1 | k z fr key elt vx fm_l fm_r False | = | foldFM_LE0 k z fr key elt vx fm_l fm_r otherwise |
|
| |
| foldFM_LE2 | k z fr (Branch key elt vx fm_l fm_r) | = | foldFM_LE1 k z fr key elt vx fm_l fm_r (key <= fr) |
|
| |
| foldFM_LE3 | k z fr EmptyFM | = | z |
| foldFM_LE3 | vvu vvv vvw vvx | = | foldFM_LE2 vvu vvv vvw vvx |
|
| | sizeFM :: FiniteMap b a -> Int
| sizeFM | EmptyFM | = | Pos Zero |
| sizeFM | (Branch vy vz size wu wv) | = | size |
|
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_foldFM(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), h, ba) → new_foldFM(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, h, ba), vyy6333, h, ba)
new_foldFM(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), h, ba) → new_foldFM(vyy630, vyy631, vyy93, vyy6334, h, ba)
The TRS R consists of the following rules:
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, h, ba) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), h, ba) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, h, ba), vyy6333, h, ba)
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
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:
- new_foldFM(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), h, ba) → new_foldFM(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, h, ba), vyy6333, h, ba)
The graph contains the following edges 4 > 1, 4 > 2, 4 > 4, 5 >= 5, 6 >= 6
- new_foldFM(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), h, ba) → new_foldFM(vyy630, vyy631, vyy93, vyy6334, h, ba)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 >= 6
↳ 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_foldFM1(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), h, ba) → new_foldFM1(vyy634, h, ba)
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:
- new_foldFM1(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), h, ba) → new_foldFM1(vyy634, h, ba)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3
↳ 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_primPlusNat(Succ(vyy9400), Succ(vyy6001000)) → new_primPlusNat(vyy9400, vyy6001000)
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:
- new_primPlusNat(Succ(vyy9400), Succ(vyy6001000)) → new_primPlusNat(vyy9400, vyy6001000)
The graph contains the following edges 1 > 1, 2 > 2
↳ 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_primMulNat(Succ(vyy50000), Succ(vyy600100)) → new_primMulNat(vyy50000, Succ(vyy600100))
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:
- new_primMulNat(Succ(vyy50000), Succ(vyy600100)) → new_primMulNat(vyy50000, Succ(vyy600100))
The graph contains the following edges 1 > 1, 2 >= 2
↳ 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_primEqNat(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat(vyy6300, vyy6400)
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:
- new_primEqNat(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat(vyy6300, vyy6400)
The graph contains the following edges 1 > 1, 2 > 2
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ Rewriting
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_fmToList(vyy63, cd, ce), new_fmToList(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
The TRS R consists of the following rules:
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
new_fmToList(vyy63, cd, ce) → new_foldFM2(vyy63, cd, ce)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_fmToList(x0, x1, x2)
We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_fmToList(vyy63, cd, ce), new_fmToList(vyy64, cd, ce), app(app(ty_@2, cd), ce)) at position [0] we obtained the following new rules:
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_fmToList(vyy64, cd, ce), app(app(ty_@2, cd), ce))
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ Rewriting
↳ QDP
↳ Rewriting
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_fmToList(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
The TRS R consists of the following rules:
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
new_fmToList(vyy63, cd, ce) → new_foldFM2(vyy63, cd, ce)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_fmToList(x0, x1, x2)
We have to consider all minimal (P,Q,R)-chains.
By rewriting [15] the rule new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_fmToList(vyy64, cd, ce), app(app(ty_@2, cd), ce)) at position [1] we obtained the following new rules:
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_foldFM2(vyy64, cd, ce), app(app(ty_@2, cd), ce))
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ Rewriting
↳ QDP
↳ Rewriting
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_foldFM2(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
The TRS R consists of the following rules:
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
new_fmToList(vyy63, cd, ce) → new_foldFM2(vyy63, cd, ce)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_fmToList(x0, x1, x2)
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
↳ Rewriting
↳ QDP
↳ Rewriting
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_foldFM2(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
The TRS R consists of the following rules:
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_fmToList(x0, x1, x2)
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_fmToList(x0, x1, x2)
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ Rewriting
↳ QDP
↳ Rewriting
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_foldFM2(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
The TRS R consists of the following rules:
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
We have to consider all minimal (P,Q,R)-chains.
We use the reduction pair processor [15].
The following pairs can be oriented strictly and are deleted.
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(app(ty_@3, bfg), bfh), bga), bfe) → new_esEs1(vyy630, vyy640, bfg, bfh, bga)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_Maybe, beh)) → new_esEs3(vyy631, vyy641, beh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(app(ty_@3, eh), fa), fb), ef) → new_esEs1(vyy631, vyy641, eh, fa, fb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_FiniteMap, da), db)) → new_esEs0(vyy632, vyy642, da, db)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_[], bbc)) → new_esEs(vyy630, vyy640, bbc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_Either, bef), beg)) → new_esEs2(vyy631, vyy641, bef, beg)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_FiniteMap, bdh), bea)) → new_esEs0(vyy631, vyy641, bdh, bea)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(app(ty_@3, dd), de), df)) → new_esEs1(vyy632, vyy642, dd, de, df)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_@2, bde), bdf)) → new_esEs4(vyy630, vyy640, bde, bdf)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_Either, bac), bad), hf) → new_esEs2(vyy630, vyy640, bac, bad)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_Maybe, bgd), bfe) → new_esEs3(vyy630, vyy640, bgd)
new_esEs3(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bcg), bch), bda)) → new_esEs1(vyy630, vyy640, bcg, bch, bda)
new_esEs0(vyy63, vyy64, cd, ce) → new_esEs(new_foldFM2(vyy63, cd, ce), new_foldFM2(vyy64, cd, ce), app(app(ty_@2, cd), ce))
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_Either, bgb), bgc), bfe) → new_esEs2(vyy630, vyy640, bgb, bgc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_Maybe, ha), cg, ef) → new_esEs3(vyy630, vyy640, ha)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_Either, bbg), bbh)) → new_esEs2(vyy630, vyy640, bbg, bbh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_Maybe, ca)) → new_esEs3(vyy630, vyy640, ca)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_@2, eb), ec)) → new_esEs4(vyy632, vyy642, eb, ec)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_@2, baf), bag), hf) → new_esEs4(vyy630, vyy640, baf, bag)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_@2, cb), cc)) → new_esEs4(vyy630, vyy640, cb, cc)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_Maybe, bae), hf) → new_esEs3(vyy630, vyy640, bae)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_[], dc)) → new_esEs(vyy632, vyy642, dc)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(ty_@2, bfa), bfb)) → new_esEs4(vyy631, vyy641, bfa, bfb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_[], eg), ef) → new_esEs(vyy631, vyy641, eg)
new_esEs2(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, hd), he), hf) → new_esEs0(vyy630, vyy640, hd, he)
new_esEs2(Left(vyy630), Left(vyy640), app(ty_[], hg), hf) → new_esEs(vyy630, vyy640, hg)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(app(ty_Either, dg), dh)) → new_esEs2(vyy632, vyy642, dg, dh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_Either, gg), gh), cg, ef) → new_esEs2(vyy630, vyy640, gg, gh)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_FiniteMap, ed), ee), ef) → new_esEs0(vyy631, vyy641, ed, ee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_@2, bge), bgf), bfe) → new_esEs4(vyy630, vyy640, bge, bgf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(ty_Maybe, ff), ef) → new_esEs3(vyy631, vyy641, ff)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_Either, bdb), bdc)) → new_esEs2(vyy630, vyy640, bdb, bdc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_Either, fc), fd), ef) → new_esEs2(vyy631, vyy641, fc, fd)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(ty_[], beb)) → new_esEs(vyy631, vyy641, beb)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_FiniteMap, ga), gb), cg, ef) → new_esEs0(vyy630, vyy640, ga, gb)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_[], bcf)) → new_esEs(vyy630, vyy640, bcf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(app(ty_@3, gd), ge), gf), cg, ef) → new_esEs1(vyy630, vyy640, gd, ge, gf)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, app(app(ty_@2, fg), fh), ef) → new_esEs4(vyy631, vyy641, fg, fh)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), h) → new_esEs(vyy631, vyy641, h)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cf, cg, app(ty_Maybe, ea)) → new_esEs3(vyy632, vyy642, ea)
new_esEs2(Left(vyy630), Left(vyy640), app(app(app(ty_@3, hh), baa), bab), hf) → new_esEs1(vyy630, vyy640, hh, baa, bab)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(app(ty_@3, bd), be), bf)) → new_esEs1(vyy630, vyy640, bd, be, bf)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(app(ty_FiniteMap, bfc), bfd), bfe) → new_esEs0(vyy630, vyy640, bfc, bfd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_Either, bg), bh)) → new_esEs2(vyy630, vyy640, bg, bh)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), bdg, app(app(app(ty_@3, bec), bed), bee)) → new_esEs1(vyy631, vyy641, bec, bed, bee)
new_esEs4(@2(vyy630, vyy631), @2(vyy640, vyy641), app(ty_[], bff), bfe) → new_esEs(vyy630, vyy640, bff)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(app(ty_@2, hb), hc), cg, ef) → new_esEs4(vyy630, vyy640, hb, hc)
new_esEs1(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), app(ty_[], gc), cg, ef) → new_esEs(vyy630, vyy640, gc)
new_esEs3(Just(vyy630), Just(vyy640), app(ty_Maybe, bdd)) → new_esEs3(vyy630, vyy640, bdd)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(ty_[], bc)) → new_esEs(vyy630, vyy640, bc)
new_esEs(:(vyy630, vyy631), :(vyy640, vyy641), app(app(ty_FiniteMap, ba), bb)) → new_esEs0(vyy630, vyy640, ba, bb)
new_esEs3(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bcd), bce)) → new_esEs0(vyy630, vyy640, bcd, bce)
The remaining pairs can at least be oriented weakly.
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
Used ordering: Polynomial interpretation [25]:
POL(:(x1, x2)) = 1 + x1 + x2
POL(@2(x1, x2)) = 1 + x1 + x2
POL(@3(x1, x2, x3)) = x1 + x2 + x3
POL(Branch(x1, x2, x3, x4, x5)) = 1 + x1 + x2 + x4 + x5
POL(EmptyFM) = 1
POL(Just(x1)) = 1 + x1
POL(Left(x1)) = 1 + x1
POL(Right(x1)) = x1
POL([]) = 1
POL(app(x1, x2)) = x1 + x2
POL(new_esEs(x1, x2, x3)) = x1 + x3
POL(new_esEs0(x1, x2, x3, x4)) = 1 + x1 + x3 + x4
POL(new_esEs1(x1, x2, x3, x4, x5)) = 1 + x1 + x3 + x4 + x5
POL(new_esEs2(x1, x2, x3, x4)) = x1 + x3 + x4
POL(new_esEs3(x1, x2, x3)) = x1 + x3
POL(new_esEs4(x1, x2, x3, x4)) = x1 + x3 + x4
POL(new_foldFM0(x1, x2, x3, x4, x5, x6)) = 1 + x1 + x2 + x3 + x4
POL(new_foldFM2(x1, x2, x3)) = x1
POL(ty_@2) = 0
POL(ty_@3) = 1
POL(ty_Either) = 1
POL(ty_FiniteMap) = 1
POL(ty_Maybe) = 0
POL(ty_[]) = 1
The following usable rules [17] were oriented:
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ Rewriting
↳ QDP
↳ Rewriting
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
↳ QDPOrderProof
↳ QDP
↳ DependencyGraphProof
↳ QDP
↳ QDP
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_@2, bcb), bcc)) → new_esEs4(vyy630, vyy640, bcb, bcc)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(app(ty_@3, bbd), bbe), bbf)) → new_esEs1(vyy630, vyy640, bbd, bbe, bbf)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(app(ty_FiniteMap, bba), bbb)) → new_esEs0(vyy630, vyy640, bba, bbb)
new_esEs2(Right(vyy630), Right(vyy640), bah, app(ty_Maybe, bca)) → new_esEs3(vyy630, vyy640, bca)
The TRS R consists of the following rules:
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cd, ce) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cd, ce), vyy633, cd, ce)
new_foldFM2(EmptyFM, cd, ce) → []
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cd, ce) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cd, ce) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cd, ce), vyy6333, cd, ce)
The set Q consists of the following terms:
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_foldFM2(EmptyFM, x0, x1)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
We have to consider all minimal (P,Q,R)-chains.
The approximation of the Dependency Graph [15,17,22] contains 0 SCCs with 4 less nodes.
↳ 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_primCmpNat(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat(vyy60000, vyy5000)
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:
- new_primCmpNat(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat(vyy60000, vyy5000)
The graph contains the following edges 1 > 1, 2 > 2
↳ HASKELL
↳ LR
↳ HASKELL
↳ CR
↳ HASKELL
↳ IFR
↳ HASKELL
↳ BR
↳ HASKELL
↳ COR
↳ HASKELL
↳ LetRed
↳ HASKELL
↳ NumRed
↳ HASKELL
↳ Narrow
↳ AND
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDP
↳ QDPSizeChangeProof
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(ty_Either, bag), bah)) → new_ltEs(vyy6002, vyy502, bag, bah)
new_compare2(vyy6000, vyy500, False, eg, eh) → new_ltEs(vyy6000, vyy500, eg, eh)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(ty_Maybe, eb)) → new_ltEs1(vyy6001, vyy501, eb)
new_ltEs(Left(vyy6000), Left(vyy500), app(app(ty_Either, h), ba), bb) → new_ltEs(vyy6000, vyy500, h, ba)
new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(ty_Either, cc), cd)) → new_ltEs(vyy6000, vyy500, cc, cd)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(ty_@2, fb), fc), fa) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs3(vyy6001, vyy501, ed, ee, ef)
new_primCompAux(vyy6000, vyy500, vyy75, app(app(ty_@2, hf), hg)) → new_compare3(vyy6000, vyy500, hf, hg)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(ty_[], bcf), bcb) → new_lt2(vyy6001, vyy501, bcf)
new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(ty_@2, ce), cf)) → new_ltEs0(vyy6000, vyy500, ce, cf)
new_ltEs1(Just(vyy6000), Just(vyy500), app(ty_Maybe, gf)) → new_ltEs1(vyy6000, vyy500, gf)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(ty_[], bdg), baf, bcb) → new_lt2(vyy6000, vyy500, bdg)
new_compare1(vyy6000, vyy500, eg, eh) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(app(ty_@3, db), dc), dd)) → new_ltEs3(vyy6000, vyy500, db, dc, dd)
new_compare22(vyy6000, vyy500, False, fg, fh, ga) → new_ltEs3(vyy6000, vyy500, fg, fh, ga)
new_compare5(vyy6000, vyy500, fg, fh, ga) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(ty_[], bbd)) → new_ltEs2(vyy6002, vyy502, bbd)
new_primCompAux(vyy6000, vyy500, vyy75, app(ty_[], baa)) → new_compare(vyy6000, vyy500, baa)
new_compare3(vyy6000, vyy500, fb, fc) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(ty_[], ff), fa) → new_compare(vyy6000, vyy500, ff)
new_ltEs1(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, gh), ha), hb)) → new_ltEs3(vyy6000, vyy500, gh, ha, hb)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(ty_@2, bdd), bde), baf, bcb) → new_lt0(vyy6000, vyy500, bdd, bde)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(ty_Maybe, bbc)) → new_ltEs1(vyy6002, vyy502, bbc)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(ty_@2, bcc), bcd), bcb) → new_lt0(vyy6001, vyy501, bcc, bcd)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(ty_Either, bdb), bdc), baf, bcb) → new_lt(vyy6000, vyy500, bdb, bdc)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(ty_Either, bbh), bca), bcb) → new_lt(vyy6001, vyy501, bbh, bca)
new_compare20(vyy6000, vyy500, False, fb, fc) → new_ltEs0(vyy6000, vyy500, fb, fc)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(app(ty_@3, fg), fh), ga), fa) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
new_primCompAux(vyy6000, vyy500, vyy75, app(app(ty_Either, hd), he)) → new_compare1(vyy6000, vyy500, hd, he)
new_ltEs2(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_primCompAux(vyy6000, vyy500, new_compare0(vyy6001, vyy501, hc), hc)
new_ltEs1(Just(vyy6000), Just(vyy500), app(app(ty_Either, gb), gc)) → new_ltEs(vyy6000, vyy500, gb, gc)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(ty_Either, df), dg)) → new_ltEs(vyy6001, vyy501, df, dg)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(ty_@2, dh), ea)) → new_ltEs0(vyy6001, vyy501, dh, ea)
new_lt3(vyy6000, vyy500, fg, fh, ga) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(ty_Maybe, bce), bcb) → new_lt1(vyy6001, vyy501, bce)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(app(ty_@3, bbe), bbf), bbg)) → new_ltEs3(vyy6002, vyy502, bbe, bbf, bbg)
new_lt1(vyy6000, vyy500, fd) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
new_ltEs1(Just(vyy6000), Just(vyy500), app(app(ty_@2, gd), ge)) → new_ltEs0(vyy6000, vyy500, gd, ge)
new_primCompAux(vyy6000, vyy500, vyy75, app(app(app(ty_@3, bab), bac), bad)) → new_compare5(vyy6000, vyy500, bab, bac, bad)
new_ltEs2(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_compare(vyy6001, vyy501, hc)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(app(ty_@3, bdh), bea), beb), baf, bcb) → new_lt3(vyy6000, vyy500, bdh, bea, beb)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(ty_Maybe, fd), fa) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(ty_Maybe, bdf), baf, bcb) → new_lt1(vyy6000, vyy500, bdf)
new_compare(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_compare(vyy6001, vyy501, hc)
new_lt0(vyy6000, vyy500, fb, fc) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
new_ltEs(Left(vyy6000), Left(vyy500), app(ty_Maybe, be), bb) → new_ltEs1(vyy6000, vyy500, be)
new_compare(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_primCompAux(vyy6000, vyy500, new_compare0(vyy6001, vyy501, hc), hc)
new_ltEs(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, bg), bh), ca), bb) → new_ltEs3(vyy6000, vyy500, bg, bh, ca)
new_compare4(vyy6000, vyy500, fd) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(app(ty_@3, bcg), bch), bda), bcb) → new_lt3(vyy6001, vyy501, bcg, bch, bda)
new_lt2(vyy6000, vyy500, ff) → new_compare(vyy6000, vyy500, ff)
new_primCompAux(vyy6000, vyy500, vyy75, app(ty_Maybe, hh)) → new_compare4(vyy6000, vyy500, hh)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(ty_[], ec)) → new_ltEs2(vyy6001, vyy501, ec)
new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(ty_@2, bba), bbb)) → new_ltEs0(vyy6002, vyy502, bba, bbb)
new_ltEs1(Just(vyy6000), Just(vyy500), app(ty_[], gg)) → new_ltEs2(vyy6000, vyy500, gg)
new_ltEs(Left(vyy6000), Left(vyy500), app(ty_[], bf), bb) → new_ltEs2(vyy6000, vyy500, bf)
new_ltEs(Right(vyy6000), Right(vyy500), cb, app(ty_[], da)) → new_ltEs2(vyy6000, vyy500, da)
new_lt(vyy6000, vyy500, eg, eh) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
new_compare21(vyy6000, vyy500, False, fd) → new_ltEs1(vyy6000, vyy500, fd)
new_ltEs(Right(vyy6000), Right(vyy500), cb, app(ty_Maybe, cg)) → new_ltEs1(vyy6000, vyy500, cg)
new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(ty_Either, eg), eh), fa) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
new_ltEs(Left(vyy6000), Left(vyy500), app(app(ty_@2, bc), bd), bb) → new_ltEs0(vyy6000, vyy500, bc, bd)
The TRS R consists of the following rules:
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, che)) → new_esEs7(vyy630, vyy640, che)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(app(ty_Either, cdf), cdg)) → new_esEs5(vyy630, vyy640, cdf, cdg)
new_esEs28(vyy630, vyy640, app(ty_[], cfa)) → new_esEs19(vyy630, vyy640, cfa)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, bef), beg)) → new_esEs15(vyy632, vyy642, bef, beg)
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy63, vyy64, bec, bed, bee)
new_ltEs12(LT, GT) → True
new_esEs29(vyy63, vyy64, app(ty_[], cef)) → new_esEs19(vyy63, vyy64, cef)
new_esEs23(vyy631, vyy641, app(app(ty_Either, ccb), ccc)) → new_esEs5(vyy631, vyy641, ccb, ccc)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dea)) → new_lt16(vyy6000, vyy500, dea)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], dae), dab) → new_esEs19(vyy630, vyy640, dae)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs29(vyy63, vyy64, app(ty_Ratio, ced)) → new_esEs20(vyy63, vyy64, ced)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs12(LT, LT) → True
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, bbe), bbf), bbg)) → new_ltEs8(vyy6002, vyy502, bbe, bbf, bbg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, dab) → new_esEs12(vyy630, vyy640)
new_lt20(vyy6000, vyy500, app(app(ty_@2, fb), fc)) → new_lt8(vyy6000, vyy500, fb, fc)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_compare16(vyy6000, vyy500, fd) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, fg), fh), ga)) → new_lt18(vyy6000, vyy500, fg, fh, ga)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, dab) → new_esEs18(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bb) → new_ltEs7(vyy6000, vyy500)
new_not(GT) → False
new_esEs29(vyy63, vyy64, app(ty_Maybe, cgc)) → new_esEs7(vyy63, vyy64, cgc)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, cbd), cbe)) → new_esEs15(vyy631, vyy641, cbd, cbe)
new_ltEs12(LT, EQ) → True
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, hc), hc)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, dbc), dab) → new_esEs20(vyy630, vyy640, dbc)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, chf), chg)) → new_esEs6(vyy630, vyy640, chf, chg)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), bec, bed, bee) → new_asAs(new_esEs11(vyy630, vyy640, bec), new_asAs(new_esEs10(vyy631, vyy641, bed), new_esEs9(vyy632, vyy642, bee)))
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, bab), bac), bad)) → new_compare30(vyy6000, vyy500, bab, bac, bad)
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_pePe(False, vyy63, vyy64, vyy65, deb) → new_asAs(new_esEs29(vyy63, vyy64, deb), vyy65)
new_esEs11(vyy630, vyy640, app(ty_Ratio, caf)) → new_esEs20(vyy630, vyy640, caf)
new_compare15(vyy6000, vyy500, False) → GT
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), cbb, cbc) → new_asAs(new_esEs24(vyy630, vyy640, cbb), new_esEs23(vyy631, vyy641, cbc))
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, bhf), bhg)) → new_esEs15(vyy630, vyy640, bhf, bhg)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, chh, daa) → :(@2(vyy630, vyy631), vyy93)
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], bf), bb) → new_ltEs5(vyy6000, vyy500, bf)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, cfb), cfc), cfd)) → new_esEs8(vyy630, vyy640, cfb, cfc, cfd)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bb) → new_ltEs11(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, app(ty_Ratio, bhb)) → new_esEs20(vyy631, vyy641, bhb)
new_esEs9(vyy632, vyy642, app(app(ty_@2, bfh), bga)) → new_esEs6(vyy632, vyy642, bfh, bga)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dh), ea)) → new_ltEs4(vyy6001, vyy501, dh, ea)
new_compare28(vyy6000, vyy500, False, fg, fh, ga) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
new_esEs25(LT) → True
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Nothing, dee) → False
new_esEs10(vyy631, vyy641, app(ty_Maybe, bhc)) → new_esEs7(vyy631, vyy641, bhc)
new_esEs24(vyy630, vyy640, app(ty_Maybe, cea)) → new_esEs7(vyy630, vyy640, cea)
new_compare14(@0, @0) → EQ
new_compare15(vyy6000, vyy500, True) → LT
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, ceg), ceh)) → new_esEs15(vyy630, vyy640, ceg, ceh)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], gg)) → new_ltEs5(vyy6000, vyy500, gg)
new_esEs23(vyy631, vyy641, app(ty_Maybe, cce)) → new_esEs7(vyy631, vyy641, cce)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_compare13(vyy6000, vyy500, False, fb, fc) → GT
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, be), bb) → new_ltEs17(vyy6000, vyy500, be)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, dbe), dbf), dab) → new_esEs6(vyy630, vyy640, dbe, dbf)
new_esEs24(vyy630, vyy640, app(ty_[], cdb)) → new_esEs19(vyy630, vyy640, cdb)
new_lt10(vyy6000, vyy500, ff) → new_esEs25(new_compare0(vyy6000, vyy500, ff))
new_compare23(vyy6000, vyy500, False, fb, fc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, fb, fc), fb, fc)
new_esEs10(vyy631, vyy641, app(app(ty_@2, bhd), bhe)) → new_esEs6(vyy631, vyy641, bhd, bhe)
new_lt8(vyy6000, vyy500, fb, fc) → new_esEs25(new_compare18(vyy6000, vyy500, fb, fc))
new_lt16(vyy6000, vyy500, dea) → new_esEs25(new_compare17(vyy6000, vyy500, dea))
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bb) → new_ltEs12(vyy6000, vyy500)
new_lt7(vyy6000, vyy500, fd) → new_esEs25(new_compare16(vyy6000, vyy500, fd))
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ddd)) → new_ltEs6(vyy6002, vyy502, ddd)
new_lt12(vyy6001, vyy501, app(ty_Ratio, dde)) → new_lt16(vyy6001, vyy501, dde)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare0([], [], hc) → EQ
new_esEs24(vyy630, vyy640, app(app(ty_@2, ceb), cec)) → new_esEs6(vyy630, vyy640, ceb, cec)
new_primEqNat0(Zero, Zero) → True
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, bag), bah)) → new_ltEs16(vyy6002, vyy502, bag, bah)
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(app(ty_@2, ddb), ddc)) → new_esEs6(vyy630, vyy640, ddb, ddc)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(app(app(ty_@3, db), dc), dd)) → new_ltEs8(vyy6000, vyy500, db, dc, dd)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bb) → new_ltEs10(vyy6000, vyy500)
new_esEs19([], [], cef) → True
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, fd) → GT
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, gb), gc)) → new_ltEs16(vyy6000, vyy500, gb, gc)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, cbg), cbh), cca)) → new_esEs8(vyy631, vyy641, cbg, cbh, cca)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_lt13(vyy6000, vyy500, app(ty_Ratio, ddf)) → new_lt16(vyy6000, vyy500, ddf)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_esEs19(:(vyy630, vyy631), [], cef) → False
new_esEs19([], :(vyy640, vyy641), cef) → False
new_lt13(vyy6000, vyy500, app(ty_Maybe, bdf)) → new_lt7(vyy6000, vyy500, bdf)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, bc), bd), bb) → new_ltEs4(vyy6000, vyy500, bc, bd)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs23(vyy631, vyy641, app(ty_Ratio, ccd)) → new_esEs20(vyy631, vyy641, ccd)
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_compare13(vyy6000, vyy500, True, fb, fc) → LT
new_lt13(vyy6000, vyy500, app(ty_[], bdg)) → new_lt10(vyy6000, vyy500, bdg)
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, dab) → new_esEs14(vyy630, vyy640)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, app(app(ty_Either, dbg), dab)) → new_esEs5(vyy63, vyy64, dbg, dab)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_ltEs18(True, True) → True
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), ced) → new_asAs(new_esEs27(vyy630, vyy640, ced), new_esEs26(vyy631, vyy641, ced))
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, dbd), dab) → new_esEs7(vyy630, vyy640, dbd)
new_ltEs12(EQ, EQ) → True
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_esEs10(vyy631, vyy641, app(ty_[], bgd)) → new_esEs19(vyy631, vyy641, bgd)
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_ltEs18(False, False) → True
new_compare26(vyy6000, vyy500, True, eg, eh) → EQ
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(app(app(ty_@3, dcc), dcd), dce)) → new_esEs8(vyy630, vyy640, dcc, dcd, dce)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, fa) → new_pePe(new_lt20(vyy6000, vyy500, de), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, fa), de)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(app(ty_Either, cc), cd)) → new_ltEs16(vyy6000, vyy500, cc, cd)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), chh, daa) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, chh, daa), vyy6333, chh, daa)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(ty_[], dcb)) → new_esEs19(vyy630, vyy640, dcb)
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_sizeFM(EmptyFM, chh, daa) → Pos(Zero)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, bbc)) → new_ltEs17(vyy6002, vyy502, bbc)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(app(ty_Either, dcf), dcg)) → new_esEs5(vyy630, vyy640, dcf, dcg)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs15(vyy63, vyy64, chh, daa) → new_asAs(new_esEs13(new_sizeFM(vyy63, chh, daa), new_sizeFM(vyy64, chh, daa)), new_esEs19(new_fmToList(vyy63, chh, daa), new_fmToList(vyy64, chh, daa), app(app(ty_@2, chh), daa)))
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, bba), bbb)) → new_ltEs4(vyy6002, vyy502, bba, bbb)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_primCompAux00(vyy79, LT) → LT
new_compare31(vyy6000, vyy500, app(app(ty_Either, hd), he)) → new_compare25(vyy6000, vyy500, hd, he)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_esEs7(Nothing, Nothing, cgc) → True
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, chd)) → new_esEs20(vyy630, vyy640, chd)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_compare30(vyy6000, vyy500, fg, fh, ga) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
new_esEs23(vyy631, vyy641, app(ty_[], cbf)) → new_esEs19(vyy631, vyy641, cbf)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, cgg), cgh), cha)) → new_esEs8(vyy630, vyy640, cgg, cgh, cha)
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, chb), chc)) → new_esEs5(vyy630, vyy640, chb, chc)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, gd), ge)) → new_ltEs4(vyy6000, vyy500, gd, ge)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_compare11(vyy6000, vyy500, True, eg, eh) → LT
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_compare12(vyy6000, vyy500, True, fd) → LT
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_esEs28(vyy630, vyy640, app(app(ty_Either, cfe), cff)) → new_esEs5(vyy630, vyy640, cfe, cff)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, dab) → new_esEs21(vyy630, vyy640)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, bge), bgf), bgg)) → new_esEs8(vyy631, vyy641, bge, bgf, bgg)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(ty_Maybe, cg)) → new_ltEs17(vyy6000, vyy500, cg)
new_esEs7(Nothing, Just(vyy640), cgc) → False
new_esEs7(Just(vyy630), Nothing, cgc) → False
new_compare210(vyy6000, vyy500, True, fd) → EQ
new_foldFM2(EmptyFM, chh, daa) → []
new_ltEs12(GT, EQ) → False
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, bgb), bgc)) → new_esEs15(vyy631, vyy641, bgb, bgc)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, gh), ha), hb)) → new_ltEs8(vyy6000, vyy500, gh, ha, hb)
new_esEs9(vyy632, vyy642, app(app(ty_Either, bfd), bfe)) → new_esEs5(vyy632, vyy642, bfd, bfe)
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_primCompAux00(vyy79, EQ) → vyy79
new_lt13(vyy6000, vyy500, app(app(ty_Either, bdb), bdc)) → new_lt15(vyy6000, vyy500, bdb, bdc)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_lt12(vyy6001, vyy501, app(ty_[], bcf)) → new_lt10(vyy6001, vyy501, bcf)
new_compare24(vyy6000, vyy500, True) → EQ
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(ty_[], da)) → new_ltEs5(vyy6000, vyy500, da)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_esEs25(EQ) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bb) → new_ltEs18(vyy6000, vyy500)
new_ltEs15(vyy6002, vyy502, app(ty_[], bbd)) → new_ltEs5(vyy6002, vyy502, bbd)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, chh), daa)) → new_esEs15(vyy63, vyy64, chh, daa)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_esEs23(vyy631, vyy641, app(app(ty_@2, ccf), ccg)) → new_esEs6(vyy631, vyy641, ccf, ccg)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, dab) → new_esEs17(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Right(vyy500), cb, bb) → True
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs9(vyy632, vyy642, app(ty_[], beh)) → new_esEs19(vyy632, vyy642, beh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, daf), dag), dah), dab) → new_esEs8(vyy630, vyy640, daf, dag, dah)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, app(ty_[], ff)) → new_lt10(vyy6000, vyy500, ff)
new_esEs25(GT) → False
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_not0 → True
new_compare0(:(vyy6000, vyy6001), [], hc) → GT
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(app(ty_FiniteMap, dbh), dca)) → new_esEs15(vyy630, vyy640, dbh, dca)
new_compare11(vyy6000, vyy500, False, eg, eh) → GT
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, app(ty_Maybe, cfh)) → new_esEs7(vyy630, vyy640, cfh)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, bcg), bch), bda)) → new_lt18(vyy6001, vyy501, bcg, bch, bda)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs5(vyy600, vyy50, hc) → new_not(new_compare0(vyy600, vyy50, hc))
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, cch), cda)) → new_esEs15(vyy630, vyy640, cch, cda)
new_ltEs17(Nothing, Just(vyy500), dee) → True
new_esEs5(Right(vyy630), Left(vyy640), dbg, dab) → False
new_esEs5(Left(vyy630), Right(vyy640), dbg, dab) → False
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, dec)) → new_ltEs6(vyy6001, vyy501, dec)
new_esEs16(EQ, EQ) → True
new_ltEs12(EQ, GT) → True
new_esEs29(vyy63, vyy64, app(app(ty_@2, cbb), cbc)) → new_esEs6(vyy63, vyy64, cbb, cbc)
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(ty_Ratio, dch)) → new_esEs20(vyy630, vyy640, dch)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(ty_Ratio, ddh)) → new_ltEs6(vyy6000, vyy500, ddh)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs8(vyy6001, vyy501, ed, ee, ef)
new_compare28(vyy6000, vyy500, True, fg, fh, ga) → EQ
new_ltEs17(Nothing, Nothing, dee) → True
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), chh, daa) → vyy632
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, ddg), bb) → new_ltEs6(vyy6000, vyy500, ddg)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_pePe(True, vyy63, vyy64, vyy65, deb) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, dab) → new_esEs16(vyy630, vyy640)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), chh, daa) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, chh, daa), vyy633, chh, daa)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, dac), dad), dab) → new_esEs15(vyy630, vyy640, dac, dad)
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_compare26(vyy6000, vyy500, False, eg, eh) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, eg, eh), eg, eh)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, eb)) → new_ltEs17(vyy6001, vyy501, eb)
new_compare23(vyy6000, vyy500, True, fb, fc) → EQ
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Float) → new_esEs17(vyy630, vyy640)
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_esEs11(vyy630, vyy640, app(ty_Maybe, cag)) → new_esEs7(vyy630, vyy640, cag)
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, app(app(ty_@2, cga), cgb)) → new_esEs6(vyy630, vyy640, cga, cgb)
new_lt18(vyy6000, vyy500, fg, fh, ga) → new_esEs25(new_compare30(vyy6000, vyy500, fg, fh, ga))
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_ltEs6(vyy600, vyy50, cee) → new_not(new_compare17(vyy600, vyy50, cee))
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_compare25(vyy6000, vyy500, eg, eh) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(app(ty_@2, cah), cba)) → new_esEs6(vyy630, vyy640, cah, cba)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_compare18(vyy6000, vyy500, fb, fc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
new_esEs10(vyy631, vyy641, app(app(ty_Either, bgh), bha)) → new_esEs5(vyy631, vyy641, bgh, bha)
new_compare31(vyy6000, vyy500, app(ty_Maybe, hh)) → new_compare16(vyy6000, vyy500, hh)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, caa), cab), cac)) → new_esEs8(vyy630, vyy640, caa, cab, cac)
new_lt20(vyy6000, vyy500, app(ty_Maybe, fd)) → new_lt7(vyy6000, vyy500, fd)
new_esEs16(LT, LT) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, dab) → new_esEs13(vyy630, vyy640)
new_asAs(False, vyy74) → False
new_lt15(vyy6000, vyy500, eg, eh) → new_esEs25(new_compare25(vyy6000, vyy500, eg, eh))
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs16(GT, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_@2, hf), hg)) → new_compare18(vyy6000, vyy500, hf, hg)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_not(EQ) → new_not0
new_compare110(vyy6000, vyy500, True, fg, fh, ga) → LT
new_compare31(vyy6000, vyy500, app(ty_[], baa)) → new_compare0(vyy6000, vyy500, baa)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bb) → new_ltEs14(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs14(True, True) → True
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Left(vyy500), cb, bb) → False
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs18(True, False) → False
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs28(vyy630, vyy640, app(ty_Ratio, cfg)) → new_esEs20(vyy630, vyy640, cfg)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, bg), bh), ca), bb) → new_ltEs8(vyy6000, vyy500, bg, bh, ca)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bb) → new_ltEs13(vyy6000, vyy500)
new_ltEs12(EQ, LT) → False
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, cad), cae)) → new_esEs5(vyy630, vyy640, cad, cae)
new_not(LT) → new_not0
new_lt12(vyy6001, vyy501, app(app(ty_@2, bcc), bcd)) → new_lt8(vyy6001, vyy501, bcc, bcd)
new_esEs9(vyy632, vyy642, app(ty_Maybe, bfg)) → new_esEs7(vyy632, vyy642, bfg)
new_lt20(vyy6000, vyy500, app(app(ty_Either, eg), eh)) → new_lt15(vyy6000, vyy500, eg, eh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, dba), dbb), dab) → new_esEs5(vyy630, vyy640, dba, dbb)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bb) → new_ltEs9(vyy6000, vyy500)
new_esEs9(vyy632, vyy642, app(ty_Ratio, bff)) → new_esEs20(vyy632, vyy642, bff)
new_esEs14(False, False) → True
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, def)) → new_ltEs6(vyy6000, vyy500, def)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, gf)) → new_ltEs17(vyy6000, vyy500, gf)
new_ltEs18(False, True) → True
new_ltEs16(Right(vyy6000), Right(vyy500), cb, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(ty_[], bhh)) → new_esEs19(vyy630, vyy640, bhh)
new_compare0([], :(vyy500, vyy501), hc) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], cgf)) → new_esEs19(vyy630, vyy640, cgf)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, dab) → new_esEs22(vyy630, vyy640)
new_asAs(True, vyy74) → vyy74
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_esEs5(Right(vyy630), Right(vyy640), dbg, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_lt12(vyy6001, vyy501, app(ty_Maybe, bce)) → new_lt7(vyy6001, vyy501, bce)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, bfa), bfb), bfc)) → new_esEs8(vyy632, vyy642, bfa, bfb, bfc)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, bcb) → new_pePe(new_lt13(vyy6000, vyy500, bae), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, baf), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bcb), baf), bae)
new_lt12(vyy6001, vyy501, app(app(ty_Either, bbh), bca)) → new_lt15(vyy6001, vyy501, bbh, bca)
new_compare31(vyy6000, vyy500, app(ty_Ratio, ded)) → new_compare17(vyy6000, vyy500, ded)
new_esEs18(@0, @0) → True
new_compare211(vyy6000, vyy500, True) → EQ
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_primCompAux0(vyy6000, vyy500, vyy75, hc) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, hc))
new_fmToList(vyy63, chh, daa) → new_foldFM2(vyy63, chh, daa)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, h), ba), bb) → new_ltEs16(vyy6000, vyy500, h, ba)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_@2, bdd), bde)) → new_lt8(vyy6000, vyy500, bdd, bde)
new_esEs24(vyy630, vyy640, app(ty_Ratio, cdh)) → new_esEs20(vyy630, vyy640, cdh)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_compare10(vyy6000, vyy500, True) → LT
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, bdh), bea), beb)) → new_lt18(vyy6000, vyy500, bdh, bea, beb)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), cb, app(app(ty_@2, ce), cf)) → new_ltEs4(vyy6000, vyy500, ce, cf)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_compare110(vyy6000, vyy500, False, fg, fh, ga) → GT
new_ltEs19(vyy6001, vyy501, app(ty_[], ec)) → new_ltEs5(vyy6001, vyy501, ec)
new_compare10(vyy6000, vyy500, False) → GT
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), cef) → new_asAs(new_esEs28(vyy630, vyy640, cef), new_esEs19(vyy631, vyy641, cef))
new_primCompAux00(vyy79, GT) → GT
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, df), dg)) → new_ltEs16(vyy6001, vyy501, df, dg)
new_compare210(vyy6000, vyy500, False, fd) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, fd), fd)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, cdc), cdd), cde)) → new_esEs8(vyy630, vyy640, cdc, cdd, cde)
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, cgd), cge)) → new_esEs15(vyy630, vyy640, cgd, cge)
new_esEs5(Right(vyy630), Right(vyy640), dbg, app(ty_Maybe, dda)) → new_esEs7(vyy630, vyy640, dda)
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
The set Q consists of the following terms:
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare31(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_foldFM2(EmptyFM, x0, x1)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_lt12(x0, x1, ty_Char)
new_compare23(x0, x1, True, x2, x3)
new_ltEs12(LT, LT)
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs13(x0, x1)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_lt20(x0, x1, app(ty_Maybe, x2))
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_compare210(x0, x1, True, x2)
new_ltEs15(x0, x1, ty_@0)
new_esEs24(x0, x1, app(ty_[], x2))
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_compare31(x0, x1, ty_Float)
new_lt13(x0, x1, ty_Double)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs10(x0, x1, ty_Double)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_ltEs19(x0, x1, ty_Integer)
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_esEs21(Integer(x0), Integer(x1))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_esEs11(x0, x1, app(ty_[], x2))
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Int)
new_primMulNat0(Succ(x0), Zero)
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs27(x0, x1, ty_Integer)
new_lt10(x0, x1, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_esEs11(x0, x1, ty_Bool)
new_compare24(x0, x1, True)
new_ltEs15(x0, x1, app(ty_[], x2))
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_esEs11(x0, x1, ty_Int)
new_ltEs12(GT, GT)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt20(x0, x1, ty_Int)
new_lt12(x0, x1, app(ty_Maybe, x2))
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_sr0(x0, x1)
new_compare12(x0, x1, True, x2)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_compare31(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_esEs29(x0, x1, ty_Char)
new_esEs10(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Float)
new_ltEs6(x0, x1, x2)
new_esEs28(x0, x1, ty_Double)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare25(x0, x1, x2, x3)
new_compare31(x0, x1, ty_@0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare11(x0, x1, False, x2, x3)
new_esEs14(True, True)
new_esEs7(Just(x0), Just(x1), ty_Int)
new_lt20(x0, x1, ty_Ordering)
new_ltEs7(x0, x1)
new_compare6(x0, x1)
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_primEqNat0(Zero, Zero)
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_compare210(x0, x1, False, x2)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_esEs11(x0, x1, ty_Ordering)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_compare15(x0, x1, False)
new_ltEs17(Nothing, Nothing, x0)
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_compare7(Double(x0, x1), Double(x2, x3))
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_lt13(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_compare13(x0, x1, False, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_lt7(x0, x1, x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_primEqNat0(Succ(x0), Zero)
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_primPlusNat1(Succ(x0), Zero)
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare110(x0, x1, False, x2, x3, x4)
new_primMulNat0(Succ(x0), Succ(x1))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs16(GT, GT)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs12(Char(x0), Char(x1))
new_primCompAux0(x0, x1, x2, x3)
new_sr(Integer(x0), Integer(x1))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_esEs25(LT)
new_ltEs19(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs28(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_primCmpNat0(Succ(x0), Succ(x1))
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_compare0(:(x0, x1), [], x2)
new_esEs9(x0, x1, ty_Double)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_compare11(x0, x1, True, x2, x3)
new_lt16(x0, x1, x2)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs28(x0, x1, ty_Ordering)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_esEs28(x0, x1, ty_Integer)
new_primPlusNat1(Zero, Succ(x0))
new_esEs29(x0, x1, ty_Bool)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_compare26(x0, x1, False, x2, x3)
new_esEs9(x0, x1, ty_Char)
new_compare12(x0, x1, False, x2)
new_lt20(x0, x1, ty_Integer)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs7(Nothing, Nothing, x0)
new_lt8(x0, x1, x2, x3)
new_compare16(x0, x1, x2)
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_ltEs19(x0, x1, ty_Char)
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_esEs28(x0, x1, app(ty_[], x2))
new_pePe(True, x0, x1, x2, x3)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_primCmpInt(Neg(Zero), Neg(Zero))
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs11(x0, x1, ty_Float)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_lt6(x0, x1)
new_esEs29(x0, x1, ty_Float)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_not(GT)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_ltEs5(x0, x1, x2)
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_esEs10(x0, x1, app(ty_[], x2))
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_lt15(x0, x1, x2, x3)
new_compare13(x0, x1, True, x2, x3)
new_ltEs12(EQ, EQ)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt19(x0, x1)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_primCompAux00(x0, LT)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(True, False)
new_esEs14(False, True)
new_lt13(x0, x1, app(ty_[], x2))
new_esEs23(x0, x1, ty_Char)
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_esEs24(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Nothing, x1)
new_esEs19([], [], x0)
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_esEs26(x0, x1, ty_Integer)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_lt18(x0, x1, x2, x3, x4)
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_Float)
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_compare26(x0, x1, True, x2, x3)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_compare31(x0, x1, ty_Int)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_compare0([], :(x0, x1), x2)
new_sizeFM(EmptyFM, x0, x1)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_esEs24(x0, x1, ty_Float)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_[], x2))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_primMulNat0(Zero, Succ(x0))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs9(x0, x1, ty_Ordering)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_primCmpNat0(Zero, Succ(x0))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_esEs22(Double(x0, x1), Double(x2, x3))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_compare28(x0, x1, False, x2, x3, x4)
new_lt20(x0, x1, app(ty_[], x2))
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs25(GT)
new_ltEs17(Nothing, Just(x0), x1)
new_lt17(x0, x1)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_primPlusNat0(Zero, x0)
new_lt12(x0, x1, ty_Integer)
new_not(EQ)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs9(x0, x1, ty_Integer)
new_esEs9(x0, x1, ty_@0)
new_lt9(x0, x1)
new_lt5(x0, x1)
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_esEs23(x0, x1, ty_Double)
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs7(Nothing, Just(x0), x1)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_esEs15(x0, x1, x2, x3)
new_compare18(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_pePe(False, x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_esEs11(x0, x1, ty_Integer)
new_compare9(Char(x0), Char(x1))
new_compare0([], [], x0)
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt13(x0, x1, ty_Integer)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_ltEs15(x0, x1, ty_Float)
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_esEs19(:(x0, x1), [], x2)
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_compare23(x0, x1, False, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_not(LT)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs23(x0, x1, ty_Float)
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_lt13(x0, x1, app(ty_Maybe, x2))
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:
- new_ltEs1(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, gh), ha), hb)) → new_ltEs3(vyy6000, vyy500, gh, ha, hb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs1(Just(vyy6000), Just(vyy500), app(app(ty_@2, gd), ge)) → new_ltEs0(vyy6000, vyy500, gd, ge)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs1(Just(vyy6000), Just(vyy500), app(app(ty_Either, gb), gc)) → new_ltEs(vyy6000, vyy500, gb, gc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_compare20(vyy6000, vyy500, False, fb, fc) → new_ltEs0(vyy6000, vyy500, fb, fc)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(app(ty_@3, bbe), bbf), bbg)) → new_ltEs3(vyy6002, vyy502, bbe, bbf, bbg)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(ty_@2, bba), bbb)) → new_ltEs0(vyy6002, vyy502, bba, bbb)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(ty_@2, dh), ea)) → new_ltEs0(vyy6001, vyy501, dh, ea)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(app(ty_Either, bag), bah)) → new_ltEs(vyy6002, vyy502, bag, bah)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
- new_compare3(vyy6000, vyy500, fb, fc) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_lt2(vyy6000, vyy500, ff) → new_compare(vyy6000, vyy500, ff)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(app(ty_@3, ed), ee), ef)) → new_ltEs3(vyy6001, vyy501, ed, ee, ef)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_compare22(vyy6000, vyy500, False, fg, fh, ga) → new_ltEs3(vyy6000, vyy500, fg, fh, ga)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4, 6 >= 5
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(ty_Either, eg), eh), fa) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(app(ty_Either, df), dg)) → new_ltEs(vyy6001, vyy501, df, dg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_compare2(vyy6000, vyy500, False, eg, eh) → new_ltEs(vyy6000, vyy500, eg, eh)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4
- new_ltEs1(Just(vyy6000), Just(vyy500), app(ty_Maybe, gf)) → new_ltEs1(vyy6000, vyy500, gf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs1(Just(vyy6000), Just(vyy500), app(ty_[], gg)) → new_ltEs2(vyy6000, vyy500, gg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(ty_Maybe, bbc)) → new_ltEs1(vyy6002, vyy502, bbc)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(ty_Maybe, eb)) → new_ltEs1(vyy6001, vyy501, eb)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_compare21(vyy6000, vyy500, False, fd) → new_ltEs1(vyy6000, vyy500, fd)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3
- new_primCompAux(vyy6000, vyy500, vyy75, app(app(ty_Either, hd), he)) → new_compare1(vyy6000, vyy500, hd, he)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(app(ty_@3, fg), fh), ga), fa) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5, 3 > 6
- new_primCompAux(vyy6000, vyy500, vyy75, app(app(app(ty_@3, bab), bac), bad)) → new_compare5(vyy6000, vyy500, bab, bac, bad)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4, 4 > 5
- new_compare(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_primCompAux(vyy6000, vyy500, new_compare0(vyy6001, vyy501, hc), hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4
- new_ltEs2(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_primCompAux(vyy6000, vyy500, new_compare0(vyy6001, vyy501, hc), hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4
- new_compare(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_compare(vyy6001, vyy501, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
- new_ltEs2(:(vyy6000, vyy6001), :(vyy500, vyy501), hc) → new_compare(vyy6001, vyy501, hc)
The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
- new_primCompAux(vyy6000, vyy500, vyy75, app(app(ty_@2, hf), hg)) → new_compare3(vyy6000, vyy500, hf, hg)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4
- new_lt0(vyy6000, vyy500, fb, fc) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_lt(vyy6000, vyy500, eg, eh) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_compare1(vyy6000, vyy500, eg, eh) → new_compare2(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, eg, eh), eg, eh)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(app(ty_@2, fb), fc), fa) → new_compare20(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, fb, fc), fb, fc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, baf, app(ty_[], bbd)) → new_ltEs2(vyy6002, vyy502, bbd)
The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), de, app(ty_[], ec)) → new_ltEs2(vyy6001, vyy501, ec)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_lt1(vyy6000, vyy500, fd) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4
- new_compare4(vyy6000, vyy500, fd) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4
- new_compare5(vyy6000, vyy500, fg, fh, ga) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6
- new_lt3(vyy6000, vyy500, fg, fh, ga) → new_compare22(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, fg, fh, ga), fg, fh, ga)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(ty_[], ff), fa) → new_compare(vyy6000, vyy500, ff)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs0(@2(vyy6000, vyy6001), @2(vyy500, vyy501), app(ty_Maybe, fd), fa) → new_compare21(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, fd), fd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 4
- new_primCompAux(vyy6000, vyy500, vyy75, app(ty_[], baa)) → new_compare(vyy6000, vyy500, baa)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3
- new_primCompAux(vyy6000, vyy500, vyy75, app(ty_Maybe, hh)) → new_compare4(vyy6000, vyy500, hh)
The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3
- new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(app(ty_@3, db), dc), dd)) → new_ltEs3(vyy6000, vyy500, db, dc, dd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_ltEs(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, bg), bh), ca), bb) → new_ltEs3(vyy6000, vyy500, bg, bh, ca)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(ty_@2, ce), cf)) → new_ltEs0(vyy6000, vyy500, ce, cf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs(Left(vyy6000), Left(vyy500), app(app(ty_@2, bc), bd), bb) → new_ltEs0(vyy6000, vyy500, bc, bd)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs(Left(vyy6000), Left(vyy500), app(app(ty_Either, h), ba), bb) → new_ltEs(vyy6000, vyy500, h, ba)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs(Right(vyy6000), Right(vyy500), cb, app(app(ty_Either, cc), cd)) → new_ltEs(vyy6000, vyy500, cc, cd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs(Left(vyy6000), Left(vyy500), app(ty_Maybe, be), bb) → new_ltEs1(vyy6000, vyy500, be)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs(Right(vyy6000), Right(vyy500), cb, app(ty_Maybe, cg)) → new_ltEs1(vyy6000, vyy500, cg)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs(Left(vyy6000), Left(vyy500), app(ty_[], bf), bb) → new_ltEs2(vyy6000, vyy500, bf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs(Right(vyy6000), Right(vyy500), cb, app(ty_[], da)) → new_ltEs2(vyy6000, vyy500, da)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(app(ty_@3, bdh), bea), beb), baf, bcb) → new_lt3(vyy6000, vyy500, bdh, bea, beb)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(app(ty_@3, bcg), bch), bda), bcb) → new_lt3(vyy6001, vyy501, bcg, bch, bda)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(ty_Maybe, bce), bcb) → new_lt1(vyy6001, vyy501, bce)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(ty_Maybe, bdf), baf, bcb) → new_lt1(vyy6000, vyy500, bdf)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(ty_@2, bdd), bde), baf, bcb) → new_lt0(vyy6000, vyy500, bdd, bde)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(ty_@2, bcc), bcd), bcb) → new_lt0(vyy6001, vyy501, bcc, bcd)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(ty_[], bcf), bcb) → new_lt2(vyy6001, vyy501, bcf)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(ty_[], bdg), baf, bcb) → new_lt2(vyy6000, vyy500, bdg)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), app(app(ty_Either, bdb), bdc), baf, bcb) → new_lt(vyy6000, vyy500, bdb, bdc)
The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
- new_ltEs3(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bae, app(app(ty_Either, bbh), bca), bcb) → new_lt(vyy6001, vyy501, bbh, bca)
The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
↳ 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
↳ DependencyGraphProof
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Left(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE1(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs20(vyy600, vyy50, be), bd, be, bf, bg)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE10(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs21(vyy600, vyy50, bf), bd, be, bf, bg)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, False, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy24, h, ba, bb, bc)
new_foldFM_LE(vyy3, Left(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Left(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy43, bh, ca, cb, cc)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy64, bd, be, bf, bg)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, False, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The TRS R consists of the following rules:
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_ltEs12(LT, GT) → True
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_ltEs20(vyy600, vyy50, app(app(ty_Either, bfd), bfe)) → new_ltEs16(vyy600, vyy50, bfd, bfe)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs12(LT, LT) → True
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_not(GT) → False
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_ltEs12(LT, EQ) → True
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs21(vyy600, vyy50, app(app(ty_@2, dea), deb)) → new_ltEs4(vyy600, vyy50, dea, deb)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_compare15(vyy6000, vyy500, False) → GT
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_ltEs20(vyy600, vyy50, app(ty_[], bde)) → new_ltEs5(vyy600, vyy50, bde)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs25(LT) → True
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_ltEs20(vyy600, vyy50, app(ty_Maybe, bfh)) → new_ltEs17(vyy600, vyy50, bfh)
new_ltEs21(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_compare14(@0, @0) → EQ
new_compare15(vyy6000, vyy500, True) → LT
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_ltEs21(vyy600, vyy50, app(app(app(ty_@3, def), deg), deh)) → new_ltEs8(vyy600, vyy50, def, deg, deh)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_ltEs20(vyy600, vyy50, app(app(ty_@2, bff), bfg)) → new_ltEs4(vyy600, vyy50, bff, bfg)
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_ltEs20(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_ltEs20(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare0([], [], bde) → EQ
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_primEqNat0(Zero, Zero) → True
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs21(vyy600, vyy50, app(ty_Maybe, dec)) → new_ltEs17(vyy600, vyy50, dec)
new_ltEs20(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_esEs19([], [], bdg) → True
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_ltEs21(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs18(True, True) → True
new_ltEs21(vyy600, vyy50, app(ty_Ratio, dee)) → new_ltEs6(vyy600, vyy50, dee)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_ltEs12(EQ, EQ) → True
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_ltEs18(False, False) → True
new_ltEs21(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs20(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_ltEs21(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_primCompAux00(vyy79, LT) → LT
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_esEs7(Nothing, Nothing, bgd) → True
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_ltEs21(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_ltEs21(vyy600, vyy50, app(ty_[], ded)) → new_ltEs5(vyy600, vyy50, ded)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_compare12(vyy6000, vyy500, True, bda) → LT
new_ltEs20(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_foldFM2(EmptyFM, cad, cae) → []
new_ltEs12(GT, EQ) → False
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCompAux00(vyy79, EQ) → vyy79
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_compare24(vyy6000, vyy500, True) → EQ
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_esEs25(EQ) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_ltEs21(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_esEs25(GT) → False
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_not0 → True
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs8(vyy600, vyy50, bga, bgb, bgc)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_ltEs21(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_esEs16(EQ, EQ) → True
new_ltEs12(EQ, GT) → True
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_esEs16(LT, LT) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_asAs(False, vyy74) → False
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs16(GT, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_not(EQ) → new_not0
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs14(True, True) → True
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs18(True, False) → False
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs12(EQ, LT) → False
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_not(LT) → new_not0
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_ltEs20(vyy600, vyy50, app(ty_Ratio, bdf)) → new_ltEs6(vyy600, vyy50, bdf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs14(False, False) → True
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs18(False, True) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_compare0([], :(vyy500, vyy501), bde) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_asAs(True, vyy74) → vyy74
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_esEs18(@0, @0) → True
new_compare211(vyy6000, vyy500, True) → EQ
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_compare10(vyy6000, vyy500, True) → LT
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_compare10(vyy6000, vyy500, False) → GT
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_ltEs20(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_primCompAux00(vyy79, GT) → GT
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_ltEs21(vyy600, vyy50, app(app(ty_Either, ddg), ddh)) → new_ltEs16(vyy600, vyy50, ddg, ddh)
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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
↳ QDP
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ UsableRulesProof
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Left(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE1(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs20(vyy600, vyy50, be), bd, be, bf, bg)
new_foldFM_LE(vyy3, Left(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Left(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy24, h, ba, bb, bc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, False, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The TRS R consists of the following rules:
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_ltEs12(LT, GT) → True
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_ltEs20(vyy600, vyy50, app(app(ty_Either, bfd), bfe)) → new_ltEs16(vyy600, vyy50, bfd, bfe)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs12(LT, LT) → True
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_not(GT) → False
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_ltEs12(LT, EQ) → True
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs21(vyy600, vyy50, app(app(ty_@2, dea), deb)) → new_ltEs4(vyy600, vyy50, dea, deb)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_compare15(vyy6000, vyy500, False) → GT
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_ltEs20(vyy600, vyy50, app(ty_[], bde)) → new_ltEs5(vyy600, vyy50, bde)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs25(LT) → True
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_ltEs20(vyy600, vyy50, app(ty_Maybe, bfh)) → new_ltEs17(vyy600, vyy50, bfh)
new_ltEs21(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_compare14(@0, @0) → EQ
new_compare15(vyy6000, vyy500, True) → LT
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_ltEs21(vyy600, vyy50, app(app(app(ty_@3, def), deg), deh)) → new_ltEs8(vyy600, vyy50, def, deg, deh)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_ltEs20(vyy600, vyy50, app(app(ty_@2, bff), bfg)) → new_ltEs4(vyy600, vyy50, bff, bfg)
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_ltEs20(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_ltEs20(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare0([], [], bde) → EQ
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_primEqNat0(Zero, Zero) → True
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs21(vyy600, vyy50, app(ty_Maybe, dec)) → new_ltEs17(vyy600, vyy50, dec)
new_ltEs20(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_esEs19([], [], bdg) → True
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_ltEs21(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs18(True, True) → True
new_ltEs21(vyy600, vyy50, app(ty_Ratio, dee)) → new_ltEs6(vyy600, vyy50, dee)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_ltEs12(EQ, EQ) → True
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_ltEs18(False, False) → True
new_ltEs21(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs20(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_ltEs21(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_primCompAux00(vyy79, LT) → LT
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_esEs7(Nothing, Nothing, bgd) → True
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_ltEs21(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_ltEs21(vyy600, vyy50, app(ty_[], ded)) → new_ltEs5(vyy600, vyy50, ded)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_compare12(vyy6000, vyy500, True, bda) → LT
new_ltEs20(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_foldFM2(EmptyFM, cad, cae) → []
new_ltEs12(GT, EQ) → False
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCompAux00(vyy79, EQ) → vyy79
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_compare24(vyy6000, vyy500, True) → EQ
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_esEs25(EQ) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_ltEs21(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_esEs25(GT) → False
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_not0 → True
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs8(vyy600, vyy50, bga, bgb, bgc)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_ltEs21(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_esEs16(EQ, EQ) → True
new_ltEs12(EQ, GT) → True
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_esEs16(LT, LT) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_asAs(False, vyy74) → False
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs16(GT, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_not(EQ) → new_not0
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs14(True, True) → True
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs18(True, False) → False
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs12(EQ, LT) → False
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_not(LT) → new_not0
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_ltEs20(vyy600, vyy50, app(ty_Ratio, bdf)) → new_ltEs6(vyy600, vyy50, bdf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs14(False, False) → True
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs18(False, True) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_compare0([], :(vyy500, vyy501), bde) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_asAs(True, vyy74) → vyy74
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_esEs18(@0, @0) → True
new_compare211(vyy6000, vyy500, True) → EQ
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_compare10(vyy6000, vyy500, True) → LT
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_compare10(vyy6000, vyy500, False) → GT
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_ltEs20(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_primCompAux00(vyy79, GT) → GT
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_ltEs21(vyy600, vyy50, app(app(ty_Either, ddg), ddh)) → new_ltEs16(vyy600, vyy50, ddg, ddh)
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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
↳ QDP
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Left(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE1(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs20(vyy600, vyy50, be), bd, be, bf, bg)
new_foldFM_LE(vyy3, Left(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Left(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy24, h, ba, bb, bc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, False, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The TRS R consists of the following rules:
new_ltEs20(vyy600, vyy50, app(app(ty_Either, bfd), bfe)) → new_ltEs16(vyy600, vyy50, bfd, bfe)
new_ltEs20(vyy600, vyy50, app(ty_[], bde)) → new_ltEs5(vyy600, vyy50, bde)
new_ltEs20(vyy600, vyy50, app(ty_Maybe, bfh)) → new_ltEs17(vyy600, vyy50, bfh)
new_ltEs20(vyy600, vyy50, app(app(ty_@2, bff), bfg)) → new_ltEs4(vyy600, vyy50, bff, bfg)
new_ltEs20(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs8(vyy600, vyy50, bga, bgb, bgc)
new_ltEs20(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, app(ty_Ratio, bdf)) → new_ltEs6(vyy600, vyy50, bdf)
new_ltEs20(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_not(GT) → False
new_not(EQ) → new_not0
new_not(LT) → new_not0
new_not0 → True
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_primPlusNat1(Zero, Zero) → Zero
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_asAs(False, vyy74) → False
new_asAs(True, vyy74) → vyy74
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_esEs14(True, True) → True
new_esEs14(False, False) → True
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs16(EQ, EQ) → True
new_esEs16(LT, LT) → True
new_esEs16(GT, GT) → True
new_esEs18(@0, @0) → True
new_esEs19([], [], bdg) → True
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs7(Nothing, Nothing, bgd) → True
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_foldFM2(EmptyFM, cad, cae) → []
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs18(True, True) → True
new_ltEs18(False, False) → True
new_ltEs18(True, False) → False
new_ltEs18(False, True) → True
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_compare0([], [], bde) → EQ
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_compare0([], :(vyy500, vyy501), bde) → LT
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_primCompAux00(vyy79, LT) → LT
new_primCompAux00(vyy79, EQ) → vyy79
new_primCompAux00(vyy79, GT) → GT
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_compare14(@0, @0) → 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_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs25(LT) → True
new_esEs25(EQ) → False
new_esEs25(GT) → False
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_compare12(vyy6000, vyy500, True, bda) → LT
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, True) → EQ
new_compare15(vyy6000, vyy500, False) → GT
new_compare15(vyy6000, vyy500, True) → LT
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, True) → EQ
new_compare10(vyy6000, vyy500, True) → LT
new_compare10(vyy6000, vyy500, False) → GT
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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_ltEs21(x0, x1, ty_Double)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs21(x0, x1, ty_Bool)
new_ltEs21(x0, x1, app(ty_[], x2))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs21(x0, x1, ty_@0)
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_Float)
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs21(x0, x1, ty_Int)
↳ 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
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
↳ QDPSizeChangeProof
↳ QDP
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Left(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE1(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs20(vyy600, vyy50, be), bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy24, h, ba, bb, bc)
new_foldFM_LE(vyy3, Left(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Left(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, False, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The TRS R consists of the following rules:
new_ltEs20(vyy600, vyy50, app(app(ty_Either, bfd), bfe)) → new_ltEs16(vyy600, vyy50, bfd, bfe)
new_ltEs20(vyy600, vyy50, app(ty_[], bde)) → new_ltEs5(vyy600, vyy50, bde)
new_ltEs20(vyy600, vyy50, app(ty_Maybe, bfh)) → new_ltEs17(vyy600, vyy50, bfh)
new_ltEs20(vyy600, vyy50, app(app(ty_@2, bff), bfg)) → new_ltEs4(vyy600, vyy50, bff, bfg)
new_ltEs20(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs8(vyy600, vyy50, bga, bgb, bgc)
new_ltEs20(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, app(ty_Ratio, bdf)) → new_ltEs6(vyy600, vyy50, bdf)
new_ltEs20(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_not(GT) → False
new_not(EQ) → new_not0
new_not(LT) → new_not0
new_not0 → True
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_primPlusNat1(Zero, Zero) → Zero
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_asAs(False, vyy74) → False
new_asAs(True, vyy74) → vyy74
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_esEs14(True, True) → True
new_esEs14(False, False) → True
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs16(EQ, EQ) → True
new_esEs16(LT, LT) → True
new_esEs16(GT, GT) → True
new_esEs18(@0, @0) → True
new_esEs19([], [], bdg) → True
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs7(Nothing, Nothing, bgd) → True
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_foldFM2(EmptyFM, cad, cae) → []
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs18(True, True) → True
new_ltEs18(False, False) → True
new_ltEs18(True, False) → False
new_ltEs18(False, True) → True
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_compare0([], [], bde) → EQ
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_compare0([], :(vyy500, vyy501), bde) → LT
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_primCompAux00(vyy79, LT) → LT
new_primCompAux00(vyy79, EQ) → vyy79
new_primCompAux00(vyy79, GT) → GT
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_compare14(@0, @0) → 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_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs25(LT) → True
new_esEs25(EQ) → False
new_esEs25(GT) → False
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_compare12(vyy6000, vyy500, True, bda) → LT
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, True) → EQ
new_compare15(vyy6000, vyy500, False) → GT
new_compare15(vyy6000, vyy500, True) → LT
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, True) → EQ
new_compare10(vyy6000, vyy500, True) → LT
new_compare10(vyy6000, vyy500, False) → GT
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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:
- new_foldFM_LE(vyy3, Left(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Left(vyy50), vyy63, bd, be, bf, bg)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7
- new_foldFM_LE(vyy3, Left(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE1(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs20(vyy600, vyy50, be), bd, be, bf, bg)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 4 >= 9, 5 >= 10, 6 >= 11, 7 >= 12
- new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy24, h, ba, bb, bc)
The graph contains the following edges 1 >= 1, 7 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
- new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, True, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The graph contains the following edges 1 >= 1, 6 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
- new_foldFM_LE1(vyy17, vyy19, vyy20, vyy21, vyy22, vyy23, vyy24, False, h, ba, bb, bc) → new_foldFM_LE(vyy17, Left(vyy19), vyy23, h, ba, bb, bc)
The graph contains the following edges 1 >= 1, 6 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
↳ 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
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ QDP
↳ UsableRulesProof
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Right(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE10(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs21(vyy600, vyy50, bf), bd, be, bf, bg)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, False, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy43, bh, ca, cb, cc)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy64, bd, be, bf, bg)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy63, bd, be, bf, bg)
The TRS R consists of the following rules:
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_ltEs12(LT, GT) → True
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_ltEs20(vyy600, vyy50, app(app(ty_Either, bfd), bfe)) → new_ltEs16(vyy600, vyy50, bfd, bfe)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_primMulNat0(Zero, Zero) → Zero
new_ltEs12(LT, LT) → True
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_not(GT) → False
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_ltEs12(LT, EQ) → True
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs21(vyy600, vyy50, app(app(ty_@2, dea), deb)) → new_ltEs4(vyy600, vyy50, dea, deb)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_compare15(vyy6000, vyy500, False) → GT
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_ltEs20(vyy600, vyy50, app(ty_[], bde)) → new_ltEs5(vyy600, vyy50, bde)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs25(LT) → True
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_ltEs20(vyy600, vyy50, app(ty_Maybe, bfh)) → new_ltEs17(vyy600, vyy50, bfh)
new_ltEs21(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_compare14(@0, @0) → EQ
new_compare15(vyy6000, vyy500, True) → LT
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_ltEs21(vyy600, vyy50, app(app(app(ty_@3, def), deg), deh)) → new_ltEs8(vyy600, vyy50, def, deg, deh)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_ltEs20(vyy600, vyy50, app(app(ty_@2, bff), bfg)) → new_ltEs4(vyy600, vyy50, bff, bfg)
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_ltEs20(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_ltEs20(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare0([], [], bde) → EQ
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_primEqNat0(Zero, Zero) → True
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs21(vyy600, vyy50, app(ty_Maybe, dec)) → new_ltEs17(vyy600, vyy50, dec)
new_ltEs20(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_esEs19([], [], bdg) → True
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_ltEs21(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs18(True, True) → True
new_ltEs21(vyy600, vyy50, app(ty_Ratio, dee)) → new_ltEs6(vyy600, vyy50, dee)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_ltEs12(EQ, EQ) → True
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_ltEs18(False, False) → True
new_ltEs21(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs20(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_ltEs21(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_primCompAux00(vyy79, LT) → LT
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_esEs7(Nothing, Nothing, bgd) → True
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_primCmpNat0(Zero, Zero) → EQ
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_ltEs21(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_ltEs21(vyy600, vyy50, app(ty_[], ded)) → new_ltEs5(vyy600, vyy50, ded)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_compare12(vyy6000, vyy500, True, bda) → LT
new_ltEs20(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_foldFM2(EmptyFM, cad, cae) → []
new_ltEs12(GT, EQ) → False
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCompAux00(vyy79, EQ) → vyy79
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_compare24(vyy6000, vyy500, True) → EQ
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_esEs25(EQ) → False
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_ltEs21(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_esEs25(GT) → False
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_not0 → True
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, app(app(app(ty_@3, bga), bgb), bgc)) → new_ltEs8(vyy600, vyy50, bga, bgb, bgc)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_ltEs21(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_esEs16(EQ, EQ) → True
new_ltEs12(EQ, GT) → True
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_esEs16(LT, LT) → True
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_asAs(False, vyy74) → False
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs16(GT, GT) → True
new_ltEs12(GT, GT) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_not(EQ) → new_not0
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs14(True, True) → True
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_ltEs18(True, False) → False
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs20(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs20(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs12(EQ, LT) → False
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_not(LT) → new_not0
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_ltEs20(vyy600, vyy50, app(ty_Ratio, bdf)) → new_ltEs6(vyy600, vyy50, bdf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs14(False, False) → True
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs18(False, True) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_compare0([], :(vyy500, vyy501), bde) → LT
new_primPlusNat1(Zero, Zero) → Zero
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_asAs(True, vyy74) → vyy74
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_esEs18(@0, @0) → True
new_compare211(vyy6000, vyy500, True) → EQ
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_compare10(vyy6000, vyy500, True) → LT
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_compare10(vyy6000, vyy500, False) → GT
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_ltEs20(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_primCompAux00(vyy79, GT) → GT
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_ltEs21(vyy600, vyy50, app(app(ty_Either, ddg), ddh)) → new_ltEs16(vyy600, vyy50, ddg, ddh)
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_ltEs12(GT, LT) → False
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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
↳ QDP
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Right(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE10(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs21(vyy600, vyy50, bf), bd, be, bf, bg)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, False, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy43, bh, ca, cb, cc)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy64, bd, be, bf, bg)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy63, bd, be, bf, bg)
The TRS R consists of the following rules:
new_ltEs21(vyy600, vyy50, app(app(ty_@2, dea), deb)) → new_ltEs4(vyy600, vyy50, dea, deb)
new_ltEs21(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(app(app(ty_@3, def), deg), deh)) → new_ltEs8(vyy600, vyy50, def, deg, deh)
new_ltEs21(vyy600, vyy50, app(ty_Maybe, dec)) → new_ltEs17(vyy600, vyy50, dec)
new_ltEs21(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(ty_Ratio, dee)) → new_ltEs6(vyy600, vyy50, dee)
new_ltEs21(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(ty_[], ded)) → new_ltEs5(vyy600, vyy50, ded)
new_ltEs21(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(app(ty_Either, ddg), ddh)) → new_ltEs16(vyy600, vyy50, ddg, ddh)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_asAs(False, vyy74) → False
new_asAs(True, vyy74) → vyy74
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_esEs14(True, True) → True
new_esEs14(False, False) → True
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_primPlusNat1(Zero, Zero) → Zero
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs16(EQ, EQ) → True
new_esEs16(LT, LT) → True
new_esEs16(GT, GT) → True
new_esEs18(@0, @0) → True
new_esEs19([], [], bdg) → True
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs7(Nothing, Nothing, bgd) → True
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_foldFM2(EmptyFM, cad, cae) → []
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_compare0([], [], bde) → EQ
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_compare0([], :(vyy500, vyy501), bde) → LT
new_not(GT) → False
new_not(EQ) → new_not0
new_not(LT) → new_not0
new_not0 → True
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_primCompAux00(vyy79, LT) → LT
new_primCompAux00(vyy79, EQ) → vyy79
new_primCompAux00(vyy79, GT) → GT
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_compare12(vyy6000, vyy500, True, bda) → LT
new_ltEs18(True, True) → True
new_ltEs18(False, False) → True
new_ltEs18(True, False) → False
new_ltEs18(False, True) → True
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
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_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_compare14(@0, @0) → EQ
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_esEs25(LT) → True
new_esEs25(EQ) → False
new_esEs25(GT) → False
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, True) → EQ
new_compare15(vyy6000, vyy500, False) → GT
new_compare15(vyy6000, vyy500, True) → LT
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, True) → EQ
new_compare10(vyy6000, vyy500, True) → LT
new_compare10(vyy6000, vyy500, False) → GT
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_ltEs20(x0, x1, ty_Integer)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs20(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_ltEs20(x0, x1, ty_Ordering)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_ltEs20(x0, x1, ty_Bool)
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, app(ty_[], x2))
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Char)
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs20(x0, x1, ty_Float)
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_ltEs20(x0, x1, ty_Double)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_ltEs20(x0, x1, ty_Int)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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_ltEs20(x0, x1, ty_Integer)
new_ltEs20(x0, x1, ty_@0)
new_ltEs20(x0, x1, ty_Ordering)
new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs20(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs20(x0, x1, ty_Bool)
new_ltEs20(x0, x1, app(ty_[], x2))
new_ltEs20(x0, x1, ty_Char)
new_ltEs20(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs20(x0, x1, ty_Float)
new_ltEs20(x0, x1, app(ty_Ratio, x2))
new_ltEs20(x0, x1, ty_Double)
new_ltEs20(x0, x1, app(ty_Maybe, x2))
new_ltEs20(x0, x1, ty_Int)
↳ 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
↳ DependencyGraphProof
↳ AND
↳ QDP
↳ QDP
↳ UsableRulesProof
↳ QDP
↳ QReductionProof
↳ QDP
↳ QDPSizeChangeProof
Q DP problem:
The TRS P consists of the following rules:
new_foldFM_LE(vyy3, Right(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE10(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs21(vyy600, vyy50, bf), bd, be, bf, bg)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, False, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy43, bh, ca, cb, cc)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy63, bd, be, bf, bg)
new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy64, bd, be, bf, bg)
The TRS R consists of the following rules:
new_ltEs21(vyy600, vyy50, app(app(ty_@2, dea), deb)) → new_ltEs4(vyy600, vyy50, dea, deb)
new_ltEs21(vyy600, vyy50, ty_@0) → new_ltEs7(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(app(app(ty_@3, def), deg), deh)) → new_ltEs8(vyy600, vyy50, def, deg, deh)
new_ltEs21(vyy600, vyy50, app(ty_Maybe, dec)) → new_ltEs17(vyy600, vyy50, dec)
new_ltEs21(vyy600, vyy50, ty_Char) → new_ltEs13(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(ty_Ratio, dee)) → new_ltEs6(vyy600, vyy50, dee)
new_ltEs21(vyy600, vyy50, ty_Int) → new_ltEs10(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Ordering) → new_ltEs12(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Float) → new_ltEs11(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Double) → new_ltEs14(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(ty_[], ded)) → new_ltEs5(vyy600, vyy50, ded)
new_ltEs21(vyy600, vyy50, ty_Bool) → new_ltEs18(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, ty_Integer) → new_ltEs9(vyy600, vyy50)
new_ltEs21(vyy600, vyy50, app(app(ty_Either, ddg), ddh)) → new_ltEs16(vyy600, vyy50, ddg, ddh)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_@0, bfe) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_[], dad), bfe) → new_ltEs5(vyy6000, vyy500, dad)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Float, bfe) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_Either, dfa), dfb)) → new_ltEs16(vyy6000, vyy500, dfa, dfb)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Maybe, dac), bfe) → new_ltEs17(vyy6000, vyy500, dac)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_Either, chg), chh), bfe) → new_ltEs16(vyy6000, vyy500, chg, chh)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Maybe, dfe)) → new_ltEs17(vyy6000, vyy500, dfe)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_Either, dba), dbb)) → new_ltEs16(vyy6000, vyy500, dba, dbb)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Maybe, dbe)) → new_ltEs17(vyy6000, vyy500, dbe)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Ordering, bfe) → new_ltEs12(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(app(ty_@3, dbh), dca), dcb)) → new_ltEs8(vyy6000, vyy500, dbh, dca, dcb)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Int, bfe) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(ty_@2, daa), dab), bfe) → new_ltEs4(vyy6000, vyy500, daa, dab)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_[], dbf)) → new_ltEs5(vyy6000, vyy500, dbf)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Bool, bfe) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Right(vyy500), bfd, bfe) → True
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(ty_Ratio, dbg)) → new_ltEs6(vyy6000, vyy500, dbg)
new_ltEs16(Left(vyy6000), Left(vyy500), app(ty_Ratio, dae), bfe) → new_ltEs6(vyy6000, vyy500, dae)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Double, bfe) → new_ltEs14(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Left(vyy500), bfd, bfe) → False
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), app(app(app(ty_@3, daf), dag), dah), bfe) → new_ltEs8(vyy6000, vyy500, daf, dag, dah)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Char, bfe) → new_ltEs13(vyy6000, vyy500)
new_ltEs16(Left(vyy6000), Left(vyy500), ty_Integer, bfe) → new_ltEs9(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_ltEs16(Right(vyy6000), Right(vyy500), bfd, app(app(ty_@2, dbc), dbd)) → new_ltEs4(vyy6000, vyy500, dbc, dbd)
new_ltEs4(@2(vyy6000, vyy6001), @2(vyy500, vyy501), bff, bfg) → new_pePe(new_lt20(vyy6000, vyy500, bff), vyy6000, vyy500, new_ltEs19(vyy6001, vyy501, bfg), bff)
new_lt20(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_Ratio, dcc)) → new_lt16(vyy6000, vyy500, dcc)
new_lt20(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_@2, bdb), bdc)) → new_lt8(vyy6000, vyy500, bdb, bdc)
new_lt20(vyy6000, vyy500, app(app(app(ty_@3, caa), cab), cac)) → new_lt18(vyy6000, vyy500, caa, cab, cac)
new_lt20(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(ty_[], caf)) → new_lt10(vyy6000, vyy500, caf)
new_lt20(vyy6000, vyy500, app(ty_Maybe, bda)) → new_lt7(vyy6000, vyy500, bda)
new_lt20(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt20(vyy6000, vyy500, app(app(ty_Either, bcg), bch)) → new_lt15(vyy6000, vyy500, bcg, bch)
new_lt20(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_ltEs19(vyy6001, vyy501, ty_Ordering) → new_ltEs12(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Float) → new_ltEs11(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Integer) → new_ltEs9(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Bool) → new_ltEs18(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_@0) → new_ltEs7(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, ty_Int) → new_ltEs10(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(app(ty_@2, dcg), dch)) → new_ltEs4(vyy6001, vyy501, dcg, dch)
new_ltEs19(vyy6001, vyy501, ty_Double) → new_ltEs14(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Ratio, ddc)) → new_ltEs6(vyy6001, vyy501, ddc)
new_ltEs19(vyy6001, vyy501, app(app(app(ty_@3, ddd), dde), ddf)) → new_ltEs8(vyy6001, vyy501, ddd, dde, ddf)
new_ltEs19(vyy6001, vyy501, ty_Char) → new_ltEs13(vyy6001, vyy501)
new_ltEs19(vyy6001, vyy501, app(ty_Maybe, dda)) → new_ltEs17(vyy6001, vyy501, dda)
new_ltEs19(vyy6001, vyy501, app(ty_[], ddb)) → new_ltEs5(vyy6001, vyy501, ddb)
new_ltEs19(vyy6001, vyy501, app(app(ty_Either, dce), dcf)) → new_ltEs16(vyy6001, vyy501, dce, dcf)
new_pePe(False, vyy63, vyy64, vyy65, dcd) → new_asAs(new_esEs29(vyy63, vyy64, dcd), vyy65)
new_pePe(True, vyy63, vyy64, vyy65, dcd) → True
new_esEs29(vyy63, vyy64, app(app(app(ty_@3, cd), ce), cf)) → new_esEs8(vyy63, vyy64, cd, ce, cf)
new_esEs29(vyy63, vyy64, app(ty_[], bdg)) → new_esEs19(vyy63, vyy64, bdg)
new_esEs29(vyy63, vyy64, ty_Ordering) → new_esEs16(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(ty_Ratio, bdd)) → new_esEs20(vyy63, vyy64, bdd)
new_esEs29(vyy63, vyy64, app(ty_Maybe, bgd)) → new_esEs7(vyy63, vyy64, bgd)
new_esEs29(vyy63, vyy64, ty_Int) → new_esEs13(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_Either, ccd), cag)) → new_esEs5(vyy63, vyy64, ccd, cag)
new_esEs29(vyy63, vyy64, app(app(ty_FiniteMap, cad), cae)) → new_esEs15(vyy63, vyy64, cad, cae)
new_esEs29(vyy63, vyy64, ty_@0) → new_esEs18(vyy63, vyy64)
new_esEs29(vyy63, vyy64, app(app(ty_@2, he), hf)) → new_esEs6(vyy63, vyy64, he, hf)
new_esEs29(vyy63, vyy64, ty_Double) → new_esEs22(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Char) → new_esEs12(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Integer) → new_esEs21(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Float) → new_esEs17(vyy63, vyy64)
new_esEs29(vyy63, vyy64, ty_Bool) → new_esEs14(vyy63, vyy64)
new_asAs(False, vyy74) → False
new_asAs(True, vyy74) → vyy74
new_esEs14(True, False) → False
new_esEs14(False, True) → False
new_esEs14(True, True) → True
new_esEs14(False, False) → True
new_esEs17(Float(vyy630, vyy631), Float(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_sr0(vyy500, vyy6001) → new_primMulInt(vyy500, vyy6001)
new_esEs13(vyy63, vyy64) → new_primEqInt(vyy63, vyy64)
new_primEqInt(Neg(Succ(vyy6300)), Neg(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Neg(Zero), Neg(Zero)) → True
new_primEqInt(Neg(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Neg(Succ(vyy6300)), Neg(Zero)) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Succ(vyy6400))) → new_primEqNat0(vyy6300, vyy6400)
new_primEqInt(Pos(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Succ(vyy6300)), Pos(Zero)) → False
new_primEqInt(Neg(Succ(vyy6300)), Pos(vyy640)) → False
new_primEqInt(Pos(Succ(vyy6300)), Neg(vyy640)) → False
new_primEqInt(Neg(Zero), Pos(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Neg(Succ(vyy6400))) → False
new_primEqInt(Pos(Zero), Pos(Zero)) → True
new_primEqInt(Neg(Zero), Pos(Zero)) → True
new_primEqInt(Pos(Zero), Neg(Zero)) → True
new_primEqNat0(Zero, Zero) → True
new_primEqNat0(Succ(vyy6300), Succ(vyy6400)) → new_primEqNat0(vyy6300, vyy6400)
new_primEqNat0(Succ(vyy6300), Zero) → False
new_primEqNat0(Zero, Succ(vyy6400)) → False
new_primMulInt(Pos(vyy5000), Pos(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Neg(vyy60010)) → Pos(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Neg(vyy5000), Pos(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulInt(Pos(vyy5000), Neg(vyy60010)) → Neg(new_primMulNat0(vyy5000, vyy60010))
new_primMulNat0(Zero, Zero) → Zero
new_primMulNat0(Succ(vyy50000), Zero) → Zero
new_primMulNat0(Zero, Succ(vyy600100)) → Zero
new_primMulNat0(Succ(vyy50000), Succ(vyy600100)) → new_primPlusNat0(new_primMulNat0(vyy50000, Succ(vyy600100)), vyy600100)
new_primPlusNat0(Succ(vyy940), vyy600100) → Succ(Succ(new_primPlusNat1(vyy940, vyy600100)))
new_primPlusNat0(Zero, vyy600100) → Succ(vyy600100)
new_primPlusNat1(Succ(vyy9400), Zero) → Succ(vyy9400)
new_primPlusNat1(Zero, Succ(vyy6001000)) → Succ(vyy6001000)
new_primPlusNat1(Succ(vyy9400), Succ(vyy6001000)) → Succ(Succ(new_primPlusNat1(vyy9400, vyy6001000)))
new_primPlusNat1(Zero, Zero) → Zero
new_esEs21(Integer(vyy630), Integer(vyy640)) → new_primEqInt(vyy630, vyy640)
new_esEs12(Char(vyy630), Char(vyy640)) → new_primEqNat0(vyy630, vyy640)
new_esEs22(Double(vyy630, vyy631), Double(vyy640, vyy641)) → new_esEs13(new_sr0(vyy630, vyy640), new_sr0(vyy631, vyy641))
new_esEs6(@2(vyy630, vyy631), @2(vyy640, vyy641), he, hf) → new_asAs(new_esEs24(vyy630, vyy640, he), new_esEs23(vyy631, vyy641, hf))
new_esEs24(vyy630, vyy640, app(app(ty_Either, bca), bcb)) → new_esEs5(vyy630, vyy640, bca, bcb)
new_esEs24(vyy630, vyy640, app(ty_Maybe, bcd)) → new_esEs7(vyy630, vyy640, bcd)
new_esEs24(vyy630, vyy640, app(ty_[], bbe)) → new_esEs19(vyy630, vyy640, bbe)
new_esEs24(vyy630, vyy640, app(app(ty_@2, bce), bcf)) → new_esEs6(vyy630, vyy640, bce, bcf)
new_esEs24(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(app(ty_FiniteMap, bbc), bbd)) → new_esEs15(vyy630, vyy640, bbc, bbd)
new_esEs24(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs24(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs24(vyy630, vyy640, app(ty_Ratio, bcc)) → new_esEs20(vyy630, vyy640, bcc)
new_esEs24(vyy630, vyy640, app(app(app(ty_@3, bbf), bbg), bbh)) → new_esEs8(vyy630, vyy640, bbf, bbg, bbh)
new_esEs23(vyy631, vyy641, app(app(ty_Either, bae), baf)) → new_esEs5(vyy631, vyy641, bae, baf)
new_esEs23(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_FiniteMap, hg), hh)) → new_esEs15(vyy631, vyy641, hg, hh)
new_esEs23(vyy631, vyy641, app(ty_Maybe, bah)) → new_esEs7(vyy631, vyy641, bah)
new_esEs23(vyy631, vyy641, app(app(app(ty_@3, bab), bac), bad)) → new_esEs8(vyy631, vyy641, bab, bac, bad)
new_esEs23(vyy631, vyy641, app(ty_Ratio, bag)) → new_esEs20(vyy631, vyy641, bag)
new_esEs23(vyy631, vyy641, app(ty_[], baa)) → new_esEs19(vyy631, vyy641, baa)
new_esEs23(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs23(vyy631, vyy641, app(app(ty_@2, bba), bbb)) → new_esEs6(vyy631, vyy641, bba, bbb)
new_esEs23(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs23(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs16(GT, EQ) → False
new_esEs16(EQ, GT) → False
new_esEs16(GT, LT) → False
new_esEs16(LT, GT) → False
new_esEs16(EQ, LT) → False
new_esEs16(LT, EQ) → False
new_esEs16(EQ, EQ) → True
new_esEs16(LT, LT) → True
new_esEs16(GT, GT) → True
new_esEs18(@0, @0) → True
new_esEs19([], [], bdg) → True
new_esEs19(:(vyy630, vyy631), [], bdg) → False
new_esEs19([], :(vyy640, vyy641), bdg) → False
new_esEs19(:(vyy630, vyy631), :(vyy640, vyy641), bdg) → new_asAs(new_esEs28(vyy630, vyy640, bdg), new_esEs19(vyy631, vyy641, bdg))
new_esEs28(vyy630, vyy640, app(ty_[], beb)) → new_esEs19(vyy630, vyy640, beb)
new_esEs28(vyy630, vyy640, app(app(app(ty_@3, bec), bed), bee)) → new_esEs8(vyy630, vyy640, bec, bed, bee)
new_esEs28(vyy630, vyy640, app(app(ty_FiniteMap, bdh), bea)) → new_esEs15(vyy630, vyy640, bdh, bea)
new_esEs28(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(app(ty_Either, bef), beg)) → new_esEs5(vyy630, vyy640, bef, beg)
new_esEs28(vyy630, vyy640, app(ty_Maybe, bfa)) → new_esEs7(vyy630, vyy640, bfa)
new_esEs28(vyy630, vyy640, app(app(ty_@2, bfb), bfc)) → new_esEs6(vyy630, vyy640, bfb, bfc)
new_esEs28(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs28(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs28(vyy630, vyy640, app(ty_Ratio, beh)) → new_esEs20(vyy630, vyy640, beh)
new_esEs28(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs20(:%(vyy630, vyy631), :%(vyy640, vyy641), bdd) → new_asAs(new_esEs27(vyy630, vyy640, bdd), new_esEs26(vyy631, vyy641, bdd))
new_esEs27(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs27(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs26(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs26(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs7(Just(vyy630), Just(vyy640), ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_@2, bhg), bhh)) → new_esEs6(vyy630, vyy640, bhg, bhh)
new_esEs7(Just(vyy630), Just(vyy640), ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs7(Nothing, Nothing, bgd) → True
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Ratio, bhe)) → new_esEs20(vyy630, vyy640, bhe)
new_esEs7(Just(vyy630), Just(vyy640), app(app(app(ty_@3, bgh), bha), bhb)) → new_esEs8(vyy630, vyy640, bgh, bha, bhb)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Maybe, cca), cag) → new_esEs7(vyy630, vyy640, cca)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_Maybe, bhf)) → new_esEs7(vyy630, vyy640, bhf)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_Either, cdc), cdd)) → new_esEs5(vyy630, vyy640, cdc, cdd)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_Either, cbf), cbg), cag) → new_esEs5(vyy630, vyy640, cbf, cbg)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_Either, bhc), bhd)) → new_esEs5(vyy630, vyy640, bhc, bhd)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Maybe, cdf)) → new_esEs7(vyy630, vyy640, cdf)
new_esEs7(Nothing, Just(vyy640), bgd) → False
new_esEs7(Just(vyy630), Nothing, bgd) → False
new_esEs7(Just(vyy630), Just(vyy640), ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(ty_[], bgg)) → new_esEs19(vyy630, vyy640, bgg)
new_esEs7(Just(vyy630), Just(vyy640), ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs7(Just(vyy630), Just(vyy640), app(app(ty_FiniteMap, bge), bgf)) → new_esEs15(vyy630, vyy640, bge, bgf)
new_esEs15(vyy63, vyy64, cad, cae) → new_asAs(new_esEs13(new_sizeFM(vyy63, cad, cae), new_sizeFM(vyy64, cad, cae)), new_esEs19(new_fmToList(vyy63, cad, cae), new_fmToList(vyy64, cad, cae), app(app(ty_@2, cad), cae)))
new_sizeFM(EmptyFM, cad, cae) → Pos(Zero)
new_sizeFM(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → vyy632
new_fmToList(vyy63, cad, cae) → new_foldFM2(vyy63, cad, cae)
new_foldFM2(EmptyFM, cad, cae) → []
new_foldFM2(Branch(vyy630, vyy631, vyy632, vyy633, vyy634), cad, cae) → new_foldFM0(vyy630, vyy631, new_foldFM2(vyy634, cad, cae), vyy633, cad, cae)
new_foldFM0(vyy630, vyy631, vyy93, EmptyFM, cad, cae) → :(@2(vyy630, vyy631), vyy93)
new_foldFM0(vyy630, vyy631, vyy93, Branch(vyy6330, vyy6331, vyy6332, vyy6333, vyy6334), cad, cae) → new_foldFM0(vyy6330, vyy6331, new_foldFM0(vyy630, vyy631, vyy93, vyy6334, cad, cae), vyy6333, cad, cae)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_[], cbb), cag) → new_esEs19(vyy630, vyy640, cbb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Char, cag) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_@0, cag) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(ty_Ratio, cbh), cag) → new_esEs20(vyy630, vyy640, cbh)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_@2, ccb), ccc), cag) → new_esEs6(vyy630, vyy640, ccb, ccc)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_@2, cdg), cdh)) → new_esEs6(vyy630, vyy640, cdg, cdh)
new_esEs5(Left(vyy630), Left(vyy640), ty_Bool, cag) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(app(ty_@3, cch), cda), cdb)) → new_esEs8(vyy630, vyy640, cch, cda, cdb)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_[], ccg)) → new_esEs19(vyy630, vyy640, ccg)
new_esEs5(Left(vyy630), Left(vyy640), ty_Integer, cag) → new_esEs21(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Float, cag) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(app(ty_@3, cbc), cbd), cbe), cag) → new_esEs8(vyy630, vyy640, cbc, cbd, cbe)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(app(ty_FiniteMap, cce), ccf)) → new_esEs15(vyy630, vyy640, cce, ccf)
new_esEs5(Right(vyy630), Left(vyy640), ccd, cag) → False
new_esEs5(Left(vyy630), Right(vyy640), ccd, cag) → False
new_esEs5(Right(vyy630), Right(vyy640), ccd, app(ty_Ratio, cde)) → new_esEs20(vyy630, vyy640, cde)
new_esEs5(Left(vyy630), Left(vyy640), ty_Ordering, cag) → new_esEs16(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), app(app(ty_FiniteMap, cah), cba), cag) → new_esEs15(vyy630, vyy640, cah, cba)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Int, cag) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs5(Left(vyy630), Left(vyy640), ty_Double, cag) → new_esEs22(vyy630, vyy640)
new_esEs5(Right(vyy630), Right(vyy640), ccd, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs8(@3(vyy630, vyy631, vyy632), @3(vyy640, vyy641, vyy642), cd, ce, cf) → new_asAs(new_esEs11(vyy630, vyy640, cd), new_asAs(new_esEs10(vyy631, vyy641, ce), new_esEs9(vyy632, vyy642, cf)))
new_esEs11(vyy630, vyy640, ty_Char) → new_esEs12(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Integer) → new_esEs21(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Ratio, ha)) → new_esEs20(vyy630, vyy640, ha)
new_esEs11(vyy630, vyy640, app(app(ty_FiniteMap, ga), gb)) → new_esEs15(vyy630, vyy640, ga, gb)
new_esEs11(vyy630, vyy640, ty_Int) → new_esEs13(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Double) → new_esEs22(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Float) → new_esEs17(vyy630, vyy640)
new_esEs11(vyy630, vyy640, ty_Bool) → new_esEs14(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(ty_Maybe, hb)) → new_esEs7(vyy630, vyy640, hb)
new_esEs11(vyy630, vyy640, app(app(ty_@2, hc), hd)) → new_esEs6(vyy630, vyy640, hc, hd)
new_esEs11(vyy630, vyy640, app(app(app(ty_@3, gd), ge), gf)) → new_esEs8(vyy630, vyy640, gd, ge, gf)
new_esEs11(vyy630, vyy640, ty_Ordering) → new_esEs16(vyy630, vyy640)
new_esEs11(vyy630, vyy640, app(app(ty_Either, gg), gh)) → new_esEs5(vyy630, vyy640, gg, gh)
new_esEs11(vyy630, vyy640, app(ty_[], gc)) → new_esEs19(vyy630, vyy640, gc)
new_esEs11(vyy630, vyy640, ty_@0) → new_esEs18(vyy630, vyy640)
new_esEs10(vyy631, vyy641, ty_Integer) → new_esEs21(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Ratio, fd)) → new_esEs20(vyy631, vyy641, fd)
new_esEs10(vyy631, vyy641, ty_Bool) → new_esEs14(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(ty_Maybe, ff)) → new_esEs7(vyy631, vyy641, ff)
new_esEs10(vyy631, vyy641, app(app(ty_@2, fg), fh)) → new_esEs6(vyy631, vyy641, fg, fh)
new_esEs10(vyy631, vyy641, app(ty_[], ef)) → new_esEs19(vyy631, vyy641, ef)
new_esEs10(vyy631, vyy641, ty_Char) → new_esEs12(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(app(ty_@3, eg), eh), fa)) → new_esEs8(vyy631, vyy641, eg, eh, fa)
new_esEs10(vyy631, vyy641, app(app(ty_FiniteMap, ed), ee)) → new_esEs15(vyy631, vyy641, ed, ee)
new_esEs10(vyy631, vyy641, ty_@0) → new_esEs18(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Double) → new_esEs22(vyy631, vyy641)
new_esEs10(vyy631, vyy641, app(app(ty_Either, fb), fc)) → new_esEs5(vyy631, vyy641, fb, fc)
new_esEs10(vyy631, vyy641, ty_Ordering) → new_esEs16(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Float) → new_esEs17(vyy631, vyy641)
new_esEs10(vyy631, vyy641, ty_Int) → new_esEs13(vyy631, vyy641)
new_esEs9(vyy632, vyy642, app(app(ty_FiniteMap, cg), da)) → new_esEs15(vyy632, vyy642, cg, da)
new_esEs9(vyy632, vyy642, app(app(ty_@2, eb), ec)) → new_esEs6(vyy632, vyy642, eb, ec)
new_esEs9(vyy632, vyy642, ty_Ordering) → new_esEs16(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(app(ty_Either, df), dg)) → new_esEs5(vyy632, vyy642, df, dg)
new_esEs9(vyy632, vyy642, ty_@0) → new_esEs18(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_[], db)) → new_esEs19(vyy632, vyy642, db)
new_esEs9(vyy632, vyy642, ty_Char) → new_esEs12(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Float) → new_esEs17(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Int) → new_esEs13(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Bool) → new_esEs14(vyy632, vyy642)
new_esEs9(vyy632, vyy642, ty_Integer) → new_esEs21(vyy632, vyy642)
new_esEs9(vyy632, vyy642, app(ty_Maybe, ea)) → new_esEs7(vyy632, vyy642, ea)
new_esEs9(vyy632, vyy642, app(ty_Ratio, dh)) → new_esEs20(vyy632, vyy642, dh)
new_esEs9(vyy632, vyy642, app(app(app(ty_@3, dc), dd), de)) → new_esEs8(vyy632, vyy642, dc, dd, de)
new_esEs9(vyy632, vyy642, ty_Double) → new_esEs22(vyy632, vyy642)
new_ltEs5(vyy600, vyy50, bde) → new_not(new_compare0(vyy600, vyy50, bde))
new_compare0(:(vyy6000, vyy6001), :(vyy500, vyy501), bde) → new_primCompAux0(vyy6000, vyy500, new_compare0(vyy6001, vyy501, bde), bde)
new_compare0([], [], bde) → EQ
new_compare0(:(vyy6000, vyy6001), [], bde) → GT
new_compare0([], :(vyy500, vyy501), bde) → LT
new_not(GT) → False
new_not(EQ) → new_not0
new_not(LT) → new_not0
new_not0 → True
new_primCompAux0(vyy6000, vyy500, vyy75, bde) → new_primCompAux00(vyy75, new_compare31(vyy6000, vyy500, bde))
new_compare31(vyy6000, vyy500, ty_Int) → new_compare6(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Bool) → new_compare8(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(app(ty_@3, dhb), dhc), dhd)) → new_compare30(vyy6000, vyy500, dhb, dhc, dhd)
new_compare31(vyy6000, vyy500, ty_Ordering) → new_compare19(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(app(ty_Either, dgc), dgd)) → new_compare25(vyy6000, vyy500, dgc, dgd)
new_compare31(vyy6000, vyy500, ty_@0) → new_compare14(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Double) → new_compare7(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Integer) → new_compare27(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, ty_Float) → new_compare29(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Maybe, dgg)) → new_compare16(vyy6000, vyy500, dgg)
new_compare31(vyy6000, vyy500, app(app(ty_@2, dge), dgf)) → new_compare18(vyy6000, vyy500, dge, dgf)
new_compare31(vyy6000, vyy500, app(ty_[], dgh)) → new_compare0(vyy6000, vyy500, dgh)
new_compare31(vyy6000, vyy500, ty_Char) → new_compare9(vyy6000, vyy500)
new_compare31(vyy6000, vyy500, app(ty_Ratio, dha)) → new_compare17(vyy6000, vyy500, dha)
new_primCompAux00(vyy79, LT) → LT
new_primCompAux00(vyy79, EQ) → vyy79
new_primCompAux00(vyy79, GT) → GT
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Integer) → new_compare27(new_sr(vyy6000, vyy501), new_sr(vyy500, vyy6001))
new_compare17(:%(vyy6000, vyy6001), :%(vyy500, vyy501), ty_Int) → new_compare6(new_sr0(vyy6000, vyy501), new_sr0(vyy500, vyy6001))
new_compare6(vyy600, vyy50) → new_primCmpInt(vyy600, vyy50)
new_primCmpInt(Pos(Zero), Neg(Zero)) → EQ
new_primCmpInt(Neg(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Neg(vyy500)) → new_primCmpNat0(vyy500, Succ(vyy60000))
new_primCmpInt(Neg(Zero), Pos(Succ(vyy5000))) → LT
new_primCmpInt(Pos(Zero), Pos(Succ(vyy5000))) → new_primCmpNat0(Zero, Succ(vyy5000))
new_primCmpInt(Pos(Succ(vyy60000)), Pos(vyy500)) → new_primCmpNat0(Succ(vyy60000), vyy500)
new_primCmpInt(Pos(Succ(vyy60000)), Neg(vyy500)) → GT
new_primCmpInt(Neg(Zero), Neg(Succ(vyy5000))) → new_primCmpNat0(Succ(vyy5000), Zero)
new_primCmpInt(Pos(Zero), Neg(Succ(vyy5000))) → GT
new_primCmpInt(Neg(Zero), Neg(Zero)) → EQ
new_primCmpInt(Pos(Zero), Pos(Zero)) → EQ
new_primCmpInt(Neg(Succ(vyy60000)), Pos(vyy500)) → LT
new_primCmpNat0(Succ(vyy60000), Zero) → GT
new_primCmpNat0(Succ(vyy60000), Succ(vyy5000)) → new_primCmpNat0(vyy60000, vyy5000)
new_primCmpNat0(Zero, Succ(vyy5000)) → LT
new_primCmpNat0(Zero, Zero) → EQ
new_sr(Integer(vyy5000), Integer(vyy60010)) → Integer(new_primMulInt(vyy5000, vyy60010))
new_compare27(Integer(vyy6000), Integer(vyy500)) → new_primCmpInt(vyy6000, vyy500)
new_compare9(Char(vyy6000), Char(vyy500)) → new_primCmpNat0(vyy6000, vyy500)
new_compare18(vyy6000, vyy500, bdb, bdc) → new_compare23(vyy6000, vyy500, new_esEs6(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, False, bdb, bdc) → new_compare13(vyy6000, vyy500, new_ltEs4(vyy6000, vyy500, bdb, bdc), bdb, bdc)
new_compare23(vyy6000, vyy500, True, bdb, bdc) → EQ
new_compare13(vyy6000, vyy500, False, bdb, bdc) → GT
new_compare13(vyy6000, vyy500, True, bdb, bdc) → LT
new_compare16(vyy6000, vyy500, bda) → new_compare210(vyy6000, vyy500, new_esEs7(vyy6000, vyy500, bda), bda)
new_compare210(vyy6000, vyy500, True, bda) → EQ
new_compare210(vyy6000, vyy500, False, bda) → new_compare12(vyy6000, vyy500, new_ltEs17(vyy6000, vyy500, bda), bda)
new_ltEs17(Just(vyy6000), Nothing, bfh) → False
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_[], dff)) → new_ltEs5(vyy6000, vyy500, dff)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Integer) → new_ltEs9(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_@0) → new_ltEs7(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(ty_@2, dfc), dfd)) → new_ltEs4(vyy6000, vyy500, dfc, dfd)
new_ltEs17(Just(vyy6000), Just(vyy500), app(app(app(ty_@3, dfh), dga), dgb)) → new_ltEs8(vyy6000, vyy500, dfh, dga, dgb)
new_ltEs17(Nothing, Just(vyy500), bfh) → True
new_ltEs17(Nothing, Nothing, bfh) → True
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Ordering) → new_ltEs12(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Int) → new_ltEs10(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Double) → new_ltEs14(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Float) → new_ltEs11(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Char) → new_ltEs13(vyy6000, vyy500)
new_ltEs17(Just(vyy6000), Just(vyy500), app(ty_Ratio, dfg)) → new_ltEs6(vyy6000, vyy500, dfg)
new_ltEs17(Just(vyy6000), Just(vyy500), ty_Bool) → new_ltEs18(vyy6000, vyy500)
new_compare12(vyy6000, vyy500, False, bda) → GT
new_compare12(vyy6000, vyy500, True, bda) → LT
new_ltEs18(True, True) → True
new_ltEs18(False, False) → True
new_ltEs18(True, False) → False
new_ltEs18(False, True) → True
new_ltEs6(vyy600, vyy50, bdf) → new_not(new_compare17(vyy600, vyy50, bdf))
new_ltEs13(vyy600, vyy50) → new_not(new_compare9(vyy600, vyy50))
new_ltEs11(vyy600, vyy50) → new_not(new_compare29(vyy600, vyy50))
new_compare29(Float(vyy6000, vyy6001), Float(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs14(vyy600, vyy50) → new_not(new_compare7(vyy600, vyy50))
new_compare7(Double(vyy6000, vyy6001), Double(vyy500, vyy501)) → new_compare6(new_sr0(vyy6000, vyy500), new_sr0(vyy6001, vyy501))
new_ltEs10(vyy600, vyy50) → new_not(new_compare6(vyy600, vyy50))
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_ltEs8(@3(vyy6000, vyy6001, vyy6002), @3(vyy500, vyy501, vyy502), bga, bgb, bgc) → new_pePe(new_lt13(vyy6000, vyy500, bga), vyy6000, vyy500, new_pePe(new_lt12(vyy6001, vyy501, bgb), vyy6001, vyy501, new_ltEs15(vyy6002, vyy502, bgc), bgb), bga)
new_lt13(vyy6000, vyy500, ty_Ordering) → new_lt14(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Integer) → new_lt17(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(ty_Ratio, chc)) → new_lt16(vyy6000, vyy500, chc)
new_lt13(vyy6000, vyy500, app(ty_Maybe, cha)) → new_lt7(vyy6000, vyy500, cha)
new_lt13(vyy6000, vyy500, app(ty_[], chb)) → new_lt10(vyy6000, vyy500, chb)
new_lt13(vyy6000, vyy500, ty_@0) → new_lt6(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Int) → new_lt19(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Float) → new_lt9(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Double) → new_lt4(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_Either, cge), cgf)) → new_lt15(vyy6000, vyy500, cge, cgf)
new_lt13(vyy6000, vyy500, ty_Bool) → new_lt5(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, ty_Char) → new_lt11(vyy6000, vyy500)
new_lt13(vyy6000, vyy500, app(app(ty_@2, cgg), cgh)) → new_lt8(vyy6000, vyy500, cgg, cgh)
new_lt13(vyy6000, vyy500, app(app(app(ty_@3, chd), che), chf)) → new_lt18(vyy6000, vyy500, chd, che, chf)
new_lt12(vyy6001, vyy501, ty_Ordering) → new_lt14(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Integer) → new_lt17(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_@0) → new_lt6(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_Ratio, cga)) → new_lt16(vyy6001, vyy501, cga)
new_lt12(vyy6001, vyy501, ty_Float) → new_lt9(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Char) → new_lt11(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(ty_[], cfh)) → new_lt10(vyy6001, vyy501, cfh)
new_lt12(vyy6001, vyy501, ty_Bool) → new_lt5(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, ty_Int) → new_lt19(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(app(ty_@3, cgb), cgc), cgd)) → new_lt18(vyy6001, vyy501, cgb, cgc, cgd)
new_lt12(vyy6001, vyy501, ty_Double) → new_lt4(vyy6001, vyy501)
new_lt12(vyy6001, vyy501, app(app(ty_@2, cfe), cff)) → new_lt8(vyy6001, vyy501, cfe, cff)
new_lt12(vyy6001, vyy501, app(ty_Maybe, cfg)) → new_lt7(vyy6001, vyy501, cfg)
new_lt12(vyy6001, vyy501, app(app(ty_Either, cfc), cfd)) → new_lt15(vyy6001, vyy501, cfc, cfd)
new_ltEs15(vyy6002, vyy502, app(app(app(ty_@3, ceh), cfa), cfb)) → new_ltEs8(vyy6002, vyy502, ceh, cfa, cfb)
new_ltEs15(vyy6002, vyy502, ty_Ordering) → new_ltEs12(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Ratio, ceg)) → new_ltEs6(vyy6002, vyy502, ceg)
new_ltEs15(vyy6002, vyy502, app(app(ty_Either, cea), ceb)) → new_ltEs16(vyy6002, vyy502, cea, ceb)
new_ltEs15(vyy6002, vyy502, ty_Integer) → new_ltEs9(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_Maybe, cee)) → new_ltEs17(vyy6002, vyy502, cee)
new_ltEs15(vyy6002, vyy502, app(app(ty_@2, cec), ced)) → new_ltEs4(vyy6002, vyy502, cec, ced)
new_ltEs15(vyy6002, vyy502, ty_@0) → new_ltEs7(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, app(ty_[], cef)) → new_ltEs5(vyy6002, vyy502, cef)
new_ltEs15(vyy6002, vyy502, ty_Float) → new_ltEs11(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Int) → new_ltEs10(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Char) → new_ltEs13(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Bool) → new_ltEs18(vyy6002, vyy502)
new_ltEs15(vyy6002, vyy502, ty_Double) → new_ltEs14(vyy6002, vyy502)
new_ltEs7(vyy600, vyy50) → new_not(new_compare14(vyy600, vyy50))
new_compare14(@0, @0) → EQ
new_ltEs9(vyy600, vyy50) → new_not(new_compare27(vyy600, vyy50))
new_lt15(vyy6000, vyy500, bcg, bch) → new_esEs25(new_compare25(vyy6000, vyy500, bcg, bch))
new_compare25(vyy6000, vyy500, bcg, bch) → new_compare26(vyy6000, vyy500, new_esEs5(vyy6000, vyy500, bcg, bch), bcg, bch)
new_esEs25(LT) → True
new_esEs25(EQ) → False
new_esEs25(GT) → False
new_compare26(vyy6000, vyy500, True, bcg, bch) → EQ
new_compare26(vyy6000, vyy500, False, bcg, bch) → new_compare11(vyy6000, vyy500, new_ltEs16(vyy6000, vyy500, bcg, bch), bcg, bch)
new_compare11(vyy6000, vyy500, True, bcg, bch) → LT
new_compare11(vyy6000, vyy500, False, bcg, bch) → GT
new_lt7(vyy6000, vyy500, bda) → new_esEs25(new_compare16(vyy6000, vyy500, bda))
new_lt8(vyy6000, vyy500, bdb, bdc) → new_esEs25(new_compare18(vyy6000, vyy500, bdb, bdc))
new_lt4(vyy6000, vyy500) → new_esEs25(new_compare7(vyy6000, vyy500))
new_lt18(vyy6000, vyy500, caa, cab, cac) → new_esEs25(new_compare30(vyy6000, vyy500, caa, cab, cac))
new_compare30(vyy6000, vyy500, caa, cab, cac) → new_compare28(vyy6000, vyy500, new_esEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, False, caa, cab, cac) → new_compare110(vyy6000, vyy500, new_ltEs8(vyy6000, vyy500, caa, cab, cac), caa, cab, cac)
new_compare28(vyy6000, vyy500, True, caa, cab, cac) → EQ
new_compare110(vyy6000, vyy500, True, caa, cab, cac) → LT
new_compare110(vyy6000, vyy500, False, caa, cab, cac) → GT
new_lt19(vyy6000, vyy500) → new_esEs25(new_compare6(vyy6000, vyy500))
new_lt5(vyy6000, vyy500) → new_esEs25(new_compare8(vyy6000, vyy500))
new_compare8(vyy6000, vyy500) → new_compare211(vyy6000, vyy500, new_esEs14(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, False) → new_compare15(vyy6000, vyy500, new_ltEs18(vyy6000, vyy500))
new_compare211(vyy6000, vyy500, True) → EQ
new_compare15(vyy6000, vyy500, False) → GT
new_compare15(vyy6000, vyy500, True) → LT
new_lt10(vyy6000, vyy500, caf) → new_esEs25(new_compare0(vyy6000, vyy500, caf))
new_lt11(vyy6000, vyy500) → new_esEs25(new_compare9(vyy6000, vyy500))
new_lt9(vyy6000, vyy500) → new_esEs25(new_compare29(vyy6000, vyy500))
new_lt16(vyy6000, vyy500, dcc) → new_esEs25(new_compare17(vyy6000, vyy500, dcc))
new_lt6(vyy6000, vyy500) → new_esEs25(new_compare14(vyy6000, vyy500))
new_lt17(vyy6000, vyy500) → new_esEs25(new_compare27(vyy6000, vyy500))
new_lt14(vyy6000, vyy500) → new_esEs25(new_compare19(vyy6000, vyy500))
new_compare19(vyy6000, vyy500) → new_compare24(vyy6000, vyy500, new_esEs16(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, False) → new_compare10(vyy6000, vyy500, new_ltEs12(vyy6000, vyy500))
new_compare24(vyy6000, vyy500, True) → EQ
new_compare10(vyy6000, vyy500, True) → LT
new_compare10(vyy6000, vyy500, False) → GT
The set Q consists of the following terms:
new_ltEs16(Left(x0), Left(x1), ty_Double, x2)
new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_compare31(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(ty_Maybe, x2))
new_ltEs21(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_compare31(x0, x1, ty_Integer)
new_esEs18(@0, @0)
new_ltEs21(x0, x1, ty_Integer)
new_ltEs16(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs24(x0, x1, app(ty_Maybe, x2))
new_esEs24(x0, x1, app(app(ty_Either, x2), x3))
new_lt12(x0, x1, ty_Char)
new_ltEs12(LT, LT)
new_esEs13(x0, x1)
new_compare13(x0, x1, True, x2, x3)
new_ltEs16(Right(x0), Right(x1), x2, ty_Bool)
new_esEs26(x0, x1, ty_Int)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs15(x0, x1, ty_@0)
new_esEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs21(x0, x1, ty_Bool)
new_esEs10(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare31(x0, x1, ty_Float)
new_ltEs17(Nothing, Nothing, x0)
new_esEs28(x0, x1, app(app(ty_Either, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Ordering, x2)
new_lt13(x0, x1, ty_Double)
new_esEs10(x0, x1, ty_Double)
new_ltEs16(Right(x0), Right(x1), x2, ty_Int)
new_esEs9(x0, x1, app(app(ty_Either, x2), x3))
new_primCmpInt(Neg(Succ(x0)), Neg(x1))
new_lt7(x0, x1, x2)
new_ltEs19(x0, x1, ty_Integer)
new_esEs21(Integer(x0), Integer(x1))
new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2))
new_ltEs21(x0, x1, app(ty_[], x2))
new_esEs24(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), ty_Int)
new_lt13(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(ty_@2, x2), x3))
new_primMulInt(Neg(x0), Neg(x1))
new_lt12(x0, x1, ty_Double)
new_compare15(x0, x1, True)
new_lt12(x0, x1, app(ty_Ratio, x2))
new_esEs28(x0, x1, ty_Int)
new_compare0(:(x0, x1), [], x2)
new_primMulNat0(Succ(x0), Zero)
new_esEs23(x0, x1, app(ty_[], x2))
new_esEs27(x0, x1, ty_Integer)
new_esEs11(x0, x1, ty_Bool)
new_compare30(x0, x1, x2, x3, x4)
new_compare24(x0, x1, True)
new_compare10(x0, x1, False)
new_esEs10(x0, x1, ty_Char)
new_esEs9(x0, x1, ty_Bool)
new_ltEs16(Right(x0), Left(x1), x2, x3)
new_ltEs16(Left(x0), Right(x1), x2, x3)
new_esEs11(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs12(GT, GT)
new_esEs16(GT, LT)
new_esEs16(LT, GT)
new_esEs9(x0, x1, app(ty_Maybe, x2))
new_esEs11(x0, x1, app(ty_Maybe, x2))
new_lt20(x0, x1, ty_Int)
new_compare0([], [], x0)
new_foldFM0(x0, x1, x2, EmptyFM, x3, x4)
new_ltEs16(Left(x0), Left(x1), ty_Float, x2)
new_sizeFM(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Left(x0), Left(x1), ty_Double, x2)
new_asAs(False, x0)
new_ltEs15(x0, x1, ty_Integer)
new_primCmpInt(Pos(Zero), Pos(Succ(x0)))
new_compare24(x0, x1, False)
new_esEs5(Right(x0), Right(x1), x2, ty_Bool)
new_sr0(x0, x1)
new_compare11(x0, x1, False, x2, x3)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_FiniteMap, x3), x4))
new_ltEs21(x0, x1, app(ty_Maybe, x2))
new_lt12(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Float)
new_ltEs15(x0, x1, ty_Int)
new_ltEs17(Just(x0), Just(x1), ty_Bool)
new_ltEs16(Left(x0), Left(x1), app(ty_[], x2), x3)
new_compare31(x0, x1, ty_Ordering)
new_esEs5(Left(x0), Left(x1), ty_Bool, x2)
new_esEs17(Float(x0, x1), Float(x2, x3))
new_esEs28(x0, x1, ty_Float)
new_compare18(x0, x1, x2, x3)
new_esEs10(x0, x1, ty_Ordering)
new_esEs29(x0, x1, ty_Char)
new_ltEs19(x0, x1, ty_Float)
new_esEs28(x0, x1, ty_Double)
new_esEs7(Nothing, Nothing, x0)
new_primCmpInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpInt(Pos(Zero), Neg(Succ(x0)))
new_esEs23(x0, x1, ty_Int)
new_ltEs19(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, True, x2)
new_compare31(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), ty_@0, x2)
new_esEs7(Just(x0), Just(x1), app(app(ty_FiniteMap, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Integer, x2)
new_ltEs17(Just(x0), Just(x1), ty_Char)
new_compare31(x0, x1, app(app(ty_Either, x2), x3))
new_ltEs16(Left(x0), Left(x1), ty_Char, x2)
new_esEs14(True, True)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Int)
new_esEs11(x0, x1, app(app(ty_Either, x2), x3))
new_lt20(x0, x1, ty_Ordering)
new_ltEs6(x0, x1, x2)
new_esEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs7(x0, x1)
new_lt18(x0, x1, x2, x3, x4)
new_esEs28(x0, x1, app(ty_Ratio, x2))
new_ltEs15(x0, x1, app(app(ty_Either, x2), x3))
new_compare6(x0, x1)
new_primEqNat0(Zero, Zero)
new_esEs23(x0, x1, app(ty_Maybe, x2))
new_ltEs17(Just(x0), Nothing, x1)
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Maybe, x3))
new_esEs24(x0, x1, ty_Integer)
new_esEs5(Right(x0), Right(x1), x2, ty_Float)
new_ltEs17(Just(x0), Just(x1), ty_Double)
new_esEs11(x0, x1, app(ty_Ratio, x2))
new_lt20(x0, x1, ty_Double)
new_esEs9(x0, x1, ty_Float)
new_ltEs16(Right(x0), Right(x1), x2, ty_Double)
new_esEs11(x0, x1, ty_Ordering)
new_ltEs21(x0, x1, app(app(ty_@2, x2), x3))
new_compare15(x0, x1, False)
new_lt10(x0, x1, x2)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4))
new_ltEs17(Just(x0), Just(x1), ty_Float)
new_primMulNat0(Zero, Zero)
new_compare110(x0, x1, True, x2, x3, x4)
new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2))
new_compare7(Double(x0, x1), Double(x2, x3))
new_ltEs19(x0, x1, app(ty_Maybe, x2))
new_lt13(x0, x1, ty_Float)
new_compare23(x0, x1, True, x2, x3)
new_lt12(x0, x1, ty_@0)
new_lt12(x0, x1, ty_Ordering)
new_lt20(x0, x1, app(app(ty_Either, x2), x3))
new_primEqInt(Neg(Succ(x0)), Neg(Zero))
new_ltEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare31(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, app(ty_Maybe, x2))
new_compare31(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Bool)
new_lt4(x0, x1)
new_primEqNat0(Succ(x0), Zero)
new_esEs9(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, app(app(ty_@2, x2), x3))
new_primPlusNat1(Succ(x0), Zero)
new_esEs11(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_lt15(x0, x1, x2, x3)
new_ltEs17(Just(x0), Just(x1), ty_@0)
new_compare26(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(app(ty_@2, x2), x3))
new_primMulNat0(Succ(x0), Succ(x1))
new_esEs7(Just(x0), Just(x1), app(ty_[], x2))
new_esEs16(GT, GT)
new_esEs5(Right(x0), Right(x1), x2, ty_Integer)
new_ltEs19(x0, x1, ty_Ordering)
new_esEs7(Nothing, Just(x0), x1)
new_esEs12(Char(x0), Char(x1))
new_esEs29(x0, x1, app(app(ty_Either, x2), x3))
new_sr(Integer(x0), Integer(x1))
new_esEs25(LT)
new_esEs7(Just(x0), Nothing, x1)
new_lt8(x0, x1, x2, x3)
new_ltEs19(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), ty_Float, x2)
new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs28(x0, x1, ty_Bool)
new_esEs29(x0, x1, ty_Double)
new_lt13(x0, x1, ty_Bool)
new_esEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5)
new_esEs28(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_primCmpNat0(Succ(x0), Succ(x1))
new_esEs28(x0, x1, app(ty_[], x2))
new_lt12(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, ty_Double)
new_esEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_@0)
new_primCompAux00(x0, EQ)
new_asAs(True, x0)
new_esEs28(x0, x1, ty_Ordering)
new_lt12(x0, x1, app(app(ty_Either, x2), x3))
new_primPlusNat1(Zero, Succ(x0))
new_esEs9(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs28(x0, x1, ty_Integer)
new_esEs29(x0, x1, ty_Bool)
new_lt16(x0, x1, x2)
new_primEqInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Succ(x0)), Pos(x1))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Int)
new_lt20(x0, x1, ty_Char)
new_ltEs21(x0, x1, ty_@0)
new_ltEs16(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_esEs9(x0, x1, ty_Char)
new_lt20(x0, x1, ty_Integer)
new_compare110(x0, x1, False, x2, x3, x4)
new_ltEs15(x0, x1, app(ty_[], x2))
new_lt20(x0, x1, app(app(ty_@2, x2), x3))
new_compare28(x0, x1, False, x2, x3, x4)
new_primCmpInt(Pos(Succ(x0)), Pos(x1))
new_ltEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_esEs23(x0, x1, ty_Integer)
new_esEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3)
new_primPlusNat1(Zero, Zero)
new_ltEs18(True, True)
new_not0
new_compare31(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs21(x0, x1, ty_Ordering)
new_ltEs19(x0, x1, ty_Char)
new_lt13(x0, x1, app(ty_Ratio, x2))
new_esEs5(Left(x0), Left(x1), app(app(ty_FiniteMap, x2), x3), x4)
new_esEs10(x0, x1, app(ty_Ratio, x2))
new_esEs7(Just(x0), Just(x1), ty_@0)
new_lt14(x0, x1)
new_compare210(x0, x1, True, x2)
new_ltEs16(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4)
new_ltEs16(Right(x0), Right(x1), x2, ty_Integer)
new_compare26(x0, x1, True, x2, x3)
new_ltEs21(x0, x1, ty_Char)
new_ltEs15(x0, x1, ty_Double)
new_ltEs13(x0, x1)
new_esEs10(x0, x1, ty_@0)
new_esEs23(x0, x1, ty_Ordering)
new_ltEs16(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_primCmpInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs17(Just(x0), Just(x1), app(ty_Ratio, x2))
new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_compare211(x0, x1, True)
new_primMulInt(Pos(x0), Pos(x1))
new_esEs24(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Int)
new_foldFM2(Branch(x0, x1, x2, x3, x4), x5, x6)
new_esEs5(Right(x0), Right(x1), x2, ty_Ordering)
new_ltEs15(x0, x1, ty_Ordering)
new_ltEs12(GT, EQ)
new_ltEs12(EQ, GT)
new_esEs29(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_ltEs19(x0, x1, app(app(ty_@2, x2), x3))
new_esEs11(x0, x1, ty_Float)
new_esEs29(x0, x1, app(app(ty_@2, x2), x3))
new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt6(x0, x1)
new_esEs5(Left(x0), Left(x1), ty_Integer, x2)
new_compare11(x0, x1, True, x2, x3)
new_esEs29(x0, x1, ty_Float)
new_ltEs21(x0, x1, ty_Float)
new_ltEs17(Just(x0), Just(x1), app(ty_[], x2))
new_esEs28(x0, x1, ty_@0)
new_compare210(x0, x1, False, x2)
new_not(GT)
new_esEs24(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_compare23(x0, x1, False, x2, x3)
new_esEs28(x0, x1, app(ty_Maybe, x2))
new_ltEs16(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4)
new_esEs19(:(x0, x1), [], x2)
new_compare28(x0, x1, True, x2, x3, x4)
new_esEs29(x0, x1, ty_Int)
new_lt12(x0, x1, ty_Float)
new_ltEs18(False, False)
new_lt20(x0, x1, ty_Float)
new_esEs9(x0, x1, ty_Int)
new_ltEs11(x0, x1)
new_primEqInt(Neg(Zero), Pos(Zero))
new_primEqInt(Pos(Zero), Neg(Zero))
new_ltEs10(x0, x1)
new_lt13(x0, x1, ty_@0)
new_lt20(x0, x1, app(ty_Ratio, x2))
new_esEs10(x0, x1, ty_Int)
new_lt13(x0, x1, ty_Char)
new_ltEs14(x0, x1)
new_primCmpNat0(Succ(x0), Zero)
new_esEs24(x0, x1, app(ty_Ratio, x2))
new_ltEs21(x0, x1, app(ty_Ratio, x2))
new_ltEs12(EQ, EQ)
new_primCmpInt(Pos(Zero), Pos(Zero))
new_lt19(x0, x1)
new_compare13(x0, x1, False, x2, x3)
new_compare25(x0, x1, x2, x3)
new_primCmpInt(Neg(Succ(x0)), Pos(x1))
new_primCmpInt(Pos(Succ(x0)), Neg(x1))
new_primEqInt(Neg(Zero), Neg(Zero))
new_ltEs15(x0, x1, app(ty_Ratio, x2))
new_compare31(x0, x1, ty_Char)
new_compare14(@0, @0)
new_ltEs16(Right(x0), Right(x1), x2, ty_Float)
new_esEs25(EQ)
new_lt13(x0, x1, ty_Ordering)
new_ltEs16(Left(x0), Left(x1), ty_Int, x2)
new_primCompAux00(x0, LT)
new_ltEs16(Left(x0), Left(x1), ty_@0, x2)
new_esEs27(x0, x1, ty_Int)
new_esEs16(LT, LT)
new_esEs14(False, True)
new_esEs14(True, False)
new_esEs23(x0, x1, ty_Char)
new_primCompAux0(x0, x1, x2, x3)
new_esEs24(x0, x1, ty_@0)
new_esEs29(x0, x1, app(ty_Ratio, x2))
new_esEs23(x0, x1, app(app(ty_@2, x2), x3))
new_esEs5(Left(x0), Left(x1), ty_Int, x2)
new_primMulInt(Pos(x0), Neg(x1))
new_primMulInt(Neg(x0), Pos(x1))
new_lt13(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs10(x0, x1, ty_Integer)
new_primCmpInt(Neg(Zero), Neg(Succ(x0)))
new_compare19(x0, x1)
new_esEs29(x0, x1, ty_Integer)
new_ltEs15(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs7(Just(x0), Just(x1), ty_Char)
new_esEs26(x0, x1, ty_Integer)
new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5)
new_primEqInt(Pos(Succ(x0)), Pos(Zero))
new_esEs11(x0, x1, app(app(ty_@2, x2), x3))
new_esEs29(x0, x1, app(ty_Maybe, x2))
new_primEqInt(Pos(Zero), Pos(Succ(x0)))
new_primEqNat0(Zero, Succ(x0))
new_esEs23(x0, x1, ty_Bool)
new_fmToList(x0, x1, x2)
new_esEs7(Just(x0), Just(x1), ty_Float)
new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_esEs19(:(x0, x1), :(x2, x3), x4)
new_esEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5))
new_compare0(:(x0, x1), :(x2, x3), x4)
new_compare31(x0, x1, ty_Int)
new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_lt12(x0, x1, ty_Int)
new_compare10(x0, x1, True)
new_lt20(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, ty_Int)
new_compare27(Integer(x0), Integer(x1))
new_esEs24(x0, x1, ty_Ordering)
new_esEs24(x0, x1, ty_Char)
new_pePe(False, x0, x1, x2, x3)
new_esEs24(x0, x1, app(ty_[], x2))
new_primEqInt(Pos(Zero), Neg(Succ(x0)))
new_primEqInt(Neg(Zero), Pos(Succ(x0)))
new_primCmpNat0(Zero, Zero)
new_ltEs21(x0, x1, app(app(ty_Either, x2), x3))
new_lt13(x0, x1, app(app(ty_Either, x2), x3))
new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4))
new_ltEs16(Right(x0), Right(x1), x2, ty_Char)
new_esEs5(Left(x0), Left(x1), ty_Char, x2)
new_ltEs16(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_ltEs16(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4))
new_esEs24(x0, x1, ty_Float)
new_esEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_ltEs16(Right(x0), Right(x1), x2, app(ty_Ratio, x3))
new_esEs11(x0, x1, ty_@0)
new_compare29(Float(x0, x1), Float(x2, x3))
new_esEs23(x0, x1, ty_@0)
new_compare31(x0, x1, app(ty_Ratio, x2))
new_ltEs17(Nothing, Just(x0), x1)
new_esEs23(x0, x1, app(app(ty_FiniteMap, x2), x3))
new_esEs23(x0, x1, app(app(ty_Either, x2), x3))
new_primMulNat0(Zero, Succ(x0))
new_esEs9(x0, x1, ty_Ordering)
new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3))
new_foldFM2(EmptyFM, x0, x1)
new_primCmpNat0(Zero, Succ(x0))
new_ltEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4))
new_esEs5(Right(x0), Right(x1), x2, ty_Double)
new_esEs22(Double(x0, x1), Double(x2, x3))
new_esEs19([], [], x0)
new_ltEs15(x0, x1, ty_Char)
new_esEs11(x0, x1, ty_Double)
new_esEs7(Just(x0), Just(x1), ty_Double)
new_ltEs19(x0, x1, app(ty_[], x2))
new_esEs9(x0, x1, app(ty_[], x2))
new_esEs25(GT)
new_ltEs19(x0, x1, app(ty_Ratio, x2))
new_lt17(x0, x1)
new_ltEs21(x0, x1, ty_Int)
new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1)))
new_lt20(x0, x1, ty_Bool)
new_esEs5(Right(x0), Right(x1), x2, ty_Char)
new_primPlusNat0(Zero, x0)
new_not(EQ)
new_lt12(x0, x1, ty_Integer)
new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3))
new_lt13(x0, x1, app(ty_[], x2))
new_esEs6(@2(x0, x1), @2(x2, x3), x4, x5)
new_esEs16(LT, EQ)
new_esEs16(EQ, LT)
new_esEs16(EQ, EQ)
new_ltEs9(x0, x1)
new_primCmpInt(Pos(Zero), Neg(Zero))
new_primCmpInt(Neg(Zero), Pos(Zero))
new_esEs19([], :(x0, x1), x2)
new_ltEs16(Left(x0), Left(x1), ty_Ordering, x2)
new_ltEs18(False, True)
new_ltEs18(True, False)
new_esEs23(x0, x1, app(ty_Ratio, x2))
new_esEs9(x0, x1, ty_Integer)
new_sizeFM(EmptyFM, x0, x1)
new_esEs9(x0, x1, ty_@0)
new_ltEs15(x0, x1, app(ty_Maybe, x2))
new_lt9(x0, x1)
new_lt5(x0, x1)
new_esEs23(x0, x1, ty_Double)
new_esEs29(x0, x1, app(ty_[], x2))
new_esEs7(Just(x0), Just(x1), ty_Ordering)
new_ltEs17(Just(x0), Just(x1), app(ty_Maybe, x2))
new_esEs9(x0, x1, app(app(ty_@2, x2), x3))
new_lt12(x0, x1, ty_Bool)
new_esEs24(x0, x1, ty_Double)
new_lt20(x0, x1, app(ty_Maybe, x2))
new_esEs5(Left(x0), Left(x1), app(ty_[], x2), x3)
new_esEs15(x0, x1, x2, x3)
new_esEs11(x0, x1, ty_Char)
new_esEs29(x0, x1, ty_@0)
new_compare16(x0, x1, x2)
new_foldFM0(x0, x1, x2, Branch(x3, x4, x5, x6, x7), x8, x9)
new_lt13(x0, x1, app(app(ty_@2, x2), x3))
new_ltEs15(x0, x1, ty_Bool)
new_esEs16(GT, EQ)
new_esEs16(EQ, GT)
new_lt11(x0, x1)
new_lt13(x0, x1, ty_Int)
new_ltEs19(x0, x1, ty_@0)
new_primEqNat0(Succ(x0), Succ(x1))
new_primPlusNat1(Succ(x0), Succ(x1))
new_ltEs16(Left(x0), Left(x1), ty_Bool, x2)
new_compare31(x0, x1, ty_Double)
new_compare8(x0, x1)
new_ltEs5(x0, x1, x2)
new_compare0([], :(x0, x1), x2)
new_ltEs12(EQ, LT)
new_ltEs12(LT, EQ)
new_ltEs19(x0, x1, ty_Double)
new_esEs5(Left(x0), Right(x1), x2, x3)
new_esEs5(Right(x0), Left(x1), x2, x3)
new_esEs11(x0, x1, ty_Integer)
new_ltEs16(Right(x0), Right(x1), x2, ty_@0)
new_compare9(Char(x0), Char(x1))
new_lt13(x0, x1, ty_Integer)
new_ltEs8(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8)
new_ltEs19(x0, x1, ty_Int)
new_primCompAux00(x0, GT)
new_esEs10(x0, x1, ty_Bool)
new_ltEs15(x0, x1, ty_Float)
new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1)))
new_primPlusNat0(Succ(x0), x1)
new_esEs14(False, False)
new_primEqInt(Pos(Zero), Pos(Zero))
new_ltEs12(GT, LT)
new_ltEs12(LT, GT)
new_esEs11(x0, x1, app(ty_[], x2))
new_esEs5(Right(x0), Right(x1), x2, app(ty_[], x3))
new_ltEs16(Right(x0), Right(x1), x2, ty_Ordering)
new_esEs10(x0, x1, app(ty_[], x2))
new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer)
new_lt20(x0, x1, ty_@0)
new_esEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3)
new_esEs7(Just(x0), Just(x1), ty_Integer)
new_ltEs17(Just(x0), Just(x1), ty_Ordering)
new_esEs29(x0, x1, ty_Ordering)
new_esEs10(x0, x1, app(app(ty_Either, x2), x3))
new_compare12(x0, x1, False, x2)
new_ltEs17(Just(x0), Just(x1), ty_Integer)
new_compare31(x0, x1, app(ty_Maybe, x2))
new_pePe(True, x0, x1, x2, x3)
new_not(LT)
new_esEs28(x0, x1, ty_Char)
new_primEqInt(Neg(Zero), Neg(Succ(x0)))
new_compare211(x0, x1, False)
new_esEs20(:%(x0, x1), :%(x2, x3), x4)
new_esEs23(x0, x1, ty_Float)
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:
- new_foldFM_LE(vyy3, Right(vyy50), Branch(Right(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE10(vyy3, vyy50, vyy600, vyy61, vyy62, vyy63, vyy64, new_ltEs21(vyy600, vyy50, bf), bd, be, bf, bg)
The graph contains the following edges 1 >= 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5, 3 > 6, 3 > 7, 4 >= 9, 5 >= 10, 6 >= 11, 7 >= 12
- new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, False, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
The graph contains the following edges 1 >= 1, 6 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
- new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy42, bh, ca, cb, cc)
The graph contains the following edges 1 >= 1, 6 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
- new_foldFM_LE10(vyy36, vyy38, vyy39, vyy40, vyy41, vyy42, vyy43, True, bh, ca, cb, cc) → new_foldFM_LE(vyy36, Right(vyy38), vyy43, bh, ca, cb, cc)
The graph contains the following edges 1 >= 1, 7 >= 3, 9 >= 4, 10 >= 5, 11 >= 6, 12 >= 7
- new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy64, bd, be, bf, bg)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7
- new_foldFM_LE(vyy3, Right(vyy50), Branch(Left(vyy600), vyy61, vyy62, vyy63, vyy64), bd, be, bf, bg) → new_foldFM_LE(vyy3, Right(vyy50), vyy63, bd, be, bf, bg)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 > 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7