/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty H-Termination with start terms of the given HASKELL could be proven: (0) HASKELL (1) LR [EQUIVALENT, 0 ms] (2) HASKELL (3) CR [EQUIVALENT, 0 ms] (4) HASKELL (5) IFR [EQUIVALENT, 0 ms] (6) HASKELL (7) BR [EQUIVALENT, 0 ms] (8) HASKELL (9) COR [EQUIVALENT, 0 ms] (10) HASKELL (11) LetRed [EQUIVALENT, 0 ms] (12) HASKELL (13) NumRed [SOUND, 22 ms] (14) HASKELL (15) Narrow [SOUND, 0 ms] (16) AND (17) QDP (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] (19) YES (20) QDP (21) DependencyGraphProof [EQUIVALENT, 0 ms] (22) AND (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) TransformationProof [EQUIVALENT, 1702 ms] (28) QDP (29) TransformationProof [EQUIVALENT, 0 ms] (30) QDP (31) DependencyGraphProof [EQUIVALENT, 0 ms] (32) QDP (33) TransformationProof [EQUIVALENT, 0 ms] (34) QDP (35) TransformationProof [EQUIVALENT, 0 ms] (36) QDP (37) TransformationProof [EQUIVALENT, 0 ms] (38) QDP (39) TransformationProof [EQUIVALENT, 0 ms] (40) QDP (41) TransformationProof [EQUIVALENT, 0 ms] (42) QDP (43) QDPSizeChangeProof [EQUIVALENT, 0 ms] (44) YES (45) QDP (46) QDPSizeChangeProof [EQUIVALENT, 0 ms] (47) YES (48) QDP (49) QDPSizeChangeProof [EQUIVALENT, 0 ms] (50) YES (51) QDP (52) QDPSizeChangeProof [EQUIVALENT, 0 ms] (53) YES (54) QDP (55) QDPSizeChangeProof [EQUIVALENT, 0 ms] (56) YES (57) QDP (58) QDPSizeChangeProof [EQUIVALENT, 0 ms] (59) YES (60) QDP (61) DependencyGraphProof [EQUIVALENT, 0 ms] (62) AND (63) QDP (64) TransformationProof [EQUIVALENT, 1240 ms] (65) QDP (66) DependencyGraphProof [EQUIVALENT, 0 ms] (67) QDP (68) TransformationProof [EQUIVALENT, 0 ms] (69) QDP (70) TransformationProof [EQUIVALENT, 0 ms] (71) QDP (72) TransformationProof [EQUIVALENT, 0 ms] (73) QDP (74) QDPSizeChangeProof [EQUIVALENT, 0 ms] (75) YES (76) QDP (77) QDPSizeChangeProof [EQUIVALENT, 0 ms] (78) YES (79) QDP (80) QDPSizeChangeProof [EQUIVALENT, 0 ms] (81) YES (82) QDP (83) TransformationProof [EQUIVALENT, 1126 ms] (84) QDP (85) UsableRulesProof [EQUIVALENT, 0 ms] (86) QDP (87) QReductionProof [EQUIVALENT, 112 ms] (88) QDP (89) TransformationProof [EQUIVALENT, 1193 ms] (90) QDP (91) TransformationProof [EQUIVALENT, 0 ms] (92) QDP (93) TransformationProof [EQUIVALENT, 0 ms] (94) QDP (95) QDPSizeChangeProof [EQUIVALENT, 0 ms] (96) YES (97) QDP (98) QDPSizeChangeProof [EQUIVALENT, 60 ms] (99) YES (100) QDP (101) QDPSizeChangeProof [EQUIVALENT, 0 ms] (102) YES (103) QDP (104) QDPSizeChangeProof [EQUIVALENT, 0 ms] (105) YES ---------------------------------------- (0) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; instance (Eq a, Eq b) => Eq FiniteMap b a where { (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; } addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; addToFM fm key elt = addToFM_C (\old new ->new) fm key elt; addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap a b -> (a,b); findMax (Branch key elt _ _ EmptyFM) = (key,elt); findMax (Branch key elt _ _ fm_r) = findMax fm_r; findMin :: FiniteMap a b -> (a,b); findMin (Branch key elt _ EmptyFM _) = (key,elt); findMin (Branch key elt _ fm_l _) = findMin fm_l; fmToList :: FiniteMap a b -> [(a,b)]; 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; lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R | size_r > sIZE_RATIO * size_l = case fm_R of { Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R | otherwise -> double_L fm_L fm_R; } | size_l > sIZE_RATIO * size_r = case fm_L of { Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R | otherwise -> double_R fm_L fm_R; } | otherwise = mkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = case fm_l of { EmptyFM-> True; Branch left_key _ _ _ _-> let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; } ; left_size = sizeFM fm_l; right_ok = case fm_r of { EmptyFM-> True; Branch right_key _ _ _ _-> let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; } ; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) | otherwise = mkBranch 13 key elt fm_l fm_r where { size_l = sizeFM fm_l; size_r = sizeFM fm_r; }; plusFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 _ left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = case lookupFM fm1 split_key of { Nothing-> elt2; Just elt1-> combiner elt1 elt2; } ; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap a b -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; splitGT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt _ fm_l fm_r) split_key | split_key > key = splitGT fm_r split_key | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r | otherwise = fm_r; splitLT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt _ fm_l fm_r) split_key | split_key < key = splitLT fm_l split_key | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key) | otherwise = fm_l; unitFM :: a -> b -> FiniteMap a b; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (1) LR (EQUIVALENT) Lambda Reductions: The following Lambda expression "\oldnew->new" is transformed to "addToFM0 old new = new; " The following Lambda expression "\keyeltrest->(key,elt) : rest" is transformed to "fmToList0 key elt rest = (key,elt) : rest; " ---------------------------------------- (2) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; instance (Eq a, Eq b) => Eq FiniteMap b a where { (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; } addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap b a -> (b,a); findMax (Branch key elt _ _ EmptyFM) = (key,elt); findMax (Branch key elt _ _ fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt _ EmptyFM _) = (key,elt); findMin (Branch key elt _ fm_l _) = findMin fm_l; fmToList :: FiniteMap a b -> [(a,b)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (c -> 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; lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R | size_r > sIZE_RATIO * size_l = case fm_R of { Branch _ _ _ fm_rl fm_rr | sizeFM fm_rl < 2 * sizeFM fm_rr -> single_L fm_L fm_R | otherwise -> double_L fm_L fm_R; } | size_l > sIZE_RATIO * size_r = case fm_L of { Branch _ _ _ fm_ll fm_lr | sizeFM fm_lr < 2 * sizeFM fm_ll -> single_R fm_L fm_R | otherwise -> double_R fm_L fm_R; } | otherwise = mkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = case fm_l of { EmptyFM-> True; Branch left_key _ _ _ _-> let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; } ; left_size = sizeFM fm_l; right_ok = case fm_r of { EmptyFM-> True; Branch right_key _ _ _ _-> let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; } ; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) | otherwise = mkBranch 13 key elt fm_l fm_r where { size_l = sizeFM fm_l; size_r = sizeFM fm_r; }; plusFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 _ left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = case lookupFM fm1 split_key of { Nothing-> elt2; Just elt1-> combiner elt1 elt2; } ; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap a b -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; splitGT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt _ fm_l fm_r) split_key | split_key > key = splitGT fm_r split_key | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r | otherwise = fm_r; splitLT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt _ fm_l fm_r) split_key | split_key < key = splitLT fm_l split_key | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key) | otherwise = fm_l; unitFM :: a -> b -> FiniteMap a b; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (3) CR (EQUIVALENT) 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; " The following Case expression "case lookupFM fm1 split_key of { Nothing -> elt2; Just elt1 -> combiner elt1 elt2} " is transformed to "new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; " The following Case expression "case fm_r of { EmptyFM -> True; Branch right_key _ _ _ _ -> let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key} " is transformed to "right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key _ _ _ _) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; " The following Case expression "case fm_l of { EmptyFM -> True; Branch left_key _ _ _ _ -> let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key} " is transformed to "left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key _ _ _ _) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; " The following Case expression "case fm_R of { Branch _ _ _ fm_rl fm_rr |sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R} " is transformed to "mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; " The following Case expression "case fm_L of { Branch _ _ _ fm_ll fm_lr |sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R} " is transformed to "mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; " ---------------------------------------- (4) Obligation: mainModule Main module FiniteMap where { import qualified Main; 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; } addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; emptyFM :: FiniteMap b a; emptyFM = EmptyFM; findMax :: FiniteMap b a -> (b,a); findMax (Branch key elt _ _ EmptyFM) = (key,elt); findMax (Branch key elt _ _ fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt _ EmptyFM _) = (key,elt); findMin (Branch key elt _ fm_l _) = findMin fm_l; fmToList :: FiniteMap b a -> [(b,a)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (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; lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L | otherwise = mkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr) | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R | otherwise = double_L fm_L fm_R; mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr) | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R | otherwise = double_R fm_L fm_R; single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = left_ok0 fm_l key fm_l; left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key _ _ _ _) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; left_size = sizeFM fm_l; right_ok = right_ok0 fm_r key fm_r; right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key _ _ _ _) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) | otherwise = mkBranch 13 key elt fm_l fm_r where { size_l = sizeFM fm_l; size_r = sizeFM fm_r; }; plusFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 _ left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = new_elt0 elt2 combiner (lookupFM fm1 split_key); new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap b a -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; splitGT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt _ fm_l fm_r) split_key | split_key > key = splitGT fm_r split_key | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r | otherwise = fm_r; splitLT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt _ fm_l fm_r) split_key | split_key < key = splitLT fm_l split_key | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key) | otherwise = fm_l; unitFM :: b -> a -> FiniteMap b a; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (5) IFR (EQUIVALENT) 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; " ---------------------------------------- (6) Obligation: mainModule Main module FiniteMap where { import qualified Main; 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; } addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap a b -> (a,b); findMax (Branch key elt _ _ EmptyFM) = (key,elt); findMax (Branch key elt _ _ fm_r) = findMax fm_r; findMin :: FiniteMap a b -> (a,b); findMin (Branch key elt _ EmptyFM _) = (key,elt); findMin (Branch key elt _ fm_l _) = findMin fm_l; fmToList :: FiniteMap b a -> [(b,a)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (b -> c -> a -> a) -> a -> FiniteMap b c -> a; foldFM k z EmptyFM = z; foldFM k z (Branch key elt _ fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt _ fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; mkBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L | otherwise = mkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r _ (Branch key_rl elt_rl _ fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l _ fm_ll (Branch key_lr elt_lr _ fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); mkBalBranch0 fm_L fm_R (Branch _ _ _ fm_rl fm_rr) | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R | otherwise = double_L fm_L fm_R; mkBalBranch1 fm_L fm_R (Branch _ _ _ fm_ll fm_lr) | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R | otherwise = double_R fm_L fm_R; single_L fm_l (Branch key_r elt_r _ fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l _ fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = left_ok0 fm_l key fm_l; left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key _ _ _ _) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; left_size = sizeFM fm_l; right_ok = right_ok0 fm_r key fm_r; right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key _ _ _ _) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt fm_l@(Branch key_l elt_l _ fm_ll fm_lr) fm_r@(Branch key_r elt_r _ fm_rl fm_rr) | sIZE_RATIO * size_l < size_r = mkBalBranch key_r elt_r (mkVBalBranch key elt fm_l fm_rl) fm_rr | sIZE_RATIO * size_r < size_l = mkBalBranch key_l elt_l fm_ll (mkVBalBranch key elt fm_lr fm_r) | otherwise = mkBranch 13 key elt fm_l fm_r where { size_l = sizeFM fm_l; size_r = sizeFM fm_r; }; plusFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 _ left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = new_elt0 elt2 combiner (lookupFM fm1 split_key); new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap b a -> Int; sizeFM EmptyFM = 0; sizeFM (Branch _ _ size _ _) = size; splitGT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt _ fm_l fm_r) split_key | split_key > key = splitGT fm_r split_key | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r | otherwise = fm_r; splitLT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt _ fm_l fm_r) split_key | split_key < key = splitLT fm_l split_key | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key) | otherwise = fm_l; unitFM :: b -> a -> FiniteMap b a; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (7) BR (EQUIVALENT) Replaced joker patterns by fresh variables and removed binding patterns. Binding Reductions: The bind variable of the following binding Pattern "fm_l@(Branch vuv vuw vux vuy vuz)" is replaced by the following term "Branch vuv vuw vux vuy vuz" The bind variable of the following binding Pattern "fm_r@(Branch vvv vvw vvx vvy vvz)" is replaced by the following term "Branch vvv vvw vvx vvy vvz" ---------------------------------------- (8) Obligation: mainModule Main module FiniteMap where { import qualified Main; 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; } addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt | new_key < key = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r | new_key > key = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt) | otherwise = Branch new_key (combiner elt new_elt) size fm_l fm_r; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap b a -> (b,a); findMax (Branch key elt vxy vxz EmptyFM) = (key,elt); findMax (Branch key elt vyu vyv fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt wvw EmptyFM wvx) = (key,elt); findMin (Branch key elt wvy fm_l wvz) = findMin fm_l; 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 wuw fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a; lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find | key_to_find < key = lookupFM fm_l key_to_find | key_to_find > key = lookupFM fm_r key_to_find | otherwise = Just elt; mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBalBranch key elt fm_L fm_R | size_l + size_r < 2 = mkBranch 1 key elt fm_L fm_R | size_r > sIZE_RATIO * size_l = mkBalBranch0 fm_L fm_R fm_R | size_l > sIZE_RATIO * size_r = mkBalBranch1 fm_L fm_R fm_L | otherwise = mkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) | sizeFM fm_rl < 2 * sizeFM fm_rr = single_L fm_L fm_R | otherwise = double_L fm_L fm_R; mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) | sizeFM fm_lr < 2 * sizeFM fm_ll = single_R fm_L fm_R | otherwise = double_R fm_L fm_R; single_L fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord a => Int -> a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = left_ok0 fm_l key fm_l; left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key vww vwx vwy vwz) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; left_size = sizeFM fm_l; right_ok = right_ok0 fm_r key fm_r; right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key vxu vxv vxw vxx) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) | sIZE_RATIO * size_l < size_r = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz | sIZE_RATIO * size_r < size_l = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)) | otherwise = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) where { size_l = sizeFM (Branch vuv vuw vux vuy vuz); size_r = sizeFM (Branch vvv vvw vvx vvy vvz); }; plusFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 zz left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = new_elt0 elt2 combiner (lookupFM fm1 split_key); new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap a b -> Int; sizeFM EmptyFM = 0; sizeFM (Branch wux wuy size wuz wvu) = size; splitGT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt vwu fm_l fm_r) split_key | split_key > key = splitGT fm_r split_key | split_key < key = mkVBalBranch key elt (splitGT fm_l split_key) fm_r | otherwise = fm_r; splitLT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt vwv fm_l fm_r) split_key | split_key < key = splitLT fm_l split_key | split_key > key = mkVBalBranch key elt fm_l (splitLT fm_r split_key) | otherwise = fm_l; unitFM :: a -> b -> FiniteMap a b; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (9) COR (EQUIVALENT) Cond Reductions: The following Function with conditions "absReal x|x >= 0x|otherwise`negate` x; " is transformed to "absReal x = absReal2 x; " "absReal0 x True = `negate` x; " "absReal1 x True = x; absReal1 x False = absReal0 x otherwise; " "absReal2 x = absReal1 x (x >= 0); " The following Function with conditions "gcd' x 0 = x; gcd' x y = gcd' y (x `rem` y); " is transformed to "gcd' x wwu = gcd'2 x wwu; gcd' x y = gcd'0 x y; " "gcd'0 x y = gcd' y (x `rem` y); " "gcd'1 True x wwu = x; gcd'1 wwv www wwx = gcd'0 www wwx; " "gcd'2 x wwu = gcd'1 (wwu == 0) x wwu; gcd'2 wwy wwz = gcd'0 wwy wwz; " The following Function with conditions "gcd 0 0 = error []; gcd x y = gcd' (abs x) (abs y) where { gcd' x 0 = x; gcd' x y = gcd' y (x `rem` y); } ; " is transformed to "gcd wxu wxv = gcd3 wxu wxv; gcd x y = gcd0 x y; " "gcd0 x y = gcd' (abs x) (abs y) where { gcd' x wwu = gcd'2 x wwu; gcd' x y = gcd'0 x y; ; gcd'0 x y = gcd' y (x `rem` y); ; gcd'1 True x wwu = x; gcd'1 wwv www wwx = gcd'0 www wwx; ; gcd'2 x wwu = gcd'1 (wwu == 0) x wwu; gcd'2 wwy wwz = gcd'0 wwy wwz; } ; " "gcd1 True wxu wxv = error []; gcd1 wxw wxx wxy = gcd0 wxx wxy; " "gcd2 True wxu wxv = gcd1 (wxv == 0) wxu wxv; gcd2 wxz wyu wyv = gcd0 wyu wyv; " "gcd3 wxu wxv = gcd2 (wxu == 0) wxu wxv; gcd3 wyw wyx = gcd0 wyw wyx; " The following Function with conditions "undefined |Falseundefined; " is transformed to "undefined = undefined1; " "undefined0 True = undefined; " "undefined1 = undefined0 False; " The following Function with conditions "reduce x y|y == 0error []|otherwisex `quot` d :% (y `quot` d) where { d = gcd x y; } ; " is transformed to "reduce x y = reduce2 x y; " "reduce2 x y = reduce1 x y (y == 0) where { d = gcd x y; ; reduce0 x y True = x `quot` d :% (y `quot` d); ; reduce1 x y True = error []; reduce1 x y False = reduce0 x y otherwise; } ; " The following Function with conditions "compare x y|x == yEQ|x <= yLT|otherwiseGT; " is transformed to "compare x y = compare3 x y; " "compare0 x y True = GT; " "compare1 x y True = LT; compare1 x y False = compare0 x y otherwise; " "compare2 x y True = EQ; compare2 x y False = compare1 x y (x <= y); " "compare3 x y = compare2 x y (x == y); " The following Function with conditions "addToFM_C combiner EmptyFM key elt = unitFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt|new_key < keymkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r|new_key > keymkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt)|otherwiseBranch new_key (combiner elt new_elt) size fm_l fm_r; " is transformed to "addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; " "addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; " "addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; " "addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); " "addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); " "addToFM_C4 combiner EmptyFM key elt = unitFM key elt; addToFM_C4 wzu wzv wzw wzx = addToFM_C3 wzu wzv wzw wzx; " The following Function with conditions "mkVBalBranch key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz)|sIZE_RATIO * size_l < size_rmkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz|sIZE_RATIO * size_r < size_lmkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz))|otherwisemkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) where { size_l = sizeFM (Branch vuv vuw vux vuy vuz); ; size_r = sizeFM (Branch vvv vvw vvx vvy vvz); } ; " is transformed to "mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); " "mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_l < size_r) where { mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); ; mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; ; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_r < size_l); ; size_l = sizeFM (Branch vuv vuw vux vuy vuz); ; size_r = sizeFM (Branch vvv vvw vvx vvy vvz); } ; " "mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch4 xuv xuw xux xuy = mkVBalBranch3 xuv xuw xux xuy; " "mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch5 xvu xvv xvw xvx = mkVBalBranch4 xvu xvv xvw xvx; " The following Function with conditions "splitGT EmptyFM split_key = emptyFM; splitGT (Branch key elt vwu fm_l fm_r) split_key|split_key > keysplitGT fm_r split_key|split_key < keymkVBalBranch key elt (splitGT fm_l split_key) fm_r|otherwisefm_r; " is transformed to "splitGT EmptyFM split_key = splitGT4 EmptyFM split_key; splitGT (Branch key elt vwu fm_l fm_r) split_key = splitGT3 (Branch key elt vwu fm_l fm_r) split_key; " "splitGT0 key elt vwu fm_l fm_r split_key True = fm_r; " "splitGT2 key elt vwu fm_l fm_r split_key True = splitGT fm_r split_key; splitGT2 key elt vwu fm_l fm_r split_key False = splitGT1 key elt vwu fm_l fm_r split_key (split_key < key); " "splitGT1 key elt vwu fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r; splitGT1 key elt vwu fm_l fm_r split_key False = splitGT0 key elt vwu fm_l fm_r split_key otherwise; " "splitGT3 (Branch key elt vwu fm_l fm_r) split_key = splitGT2 key elt vwu fm_l fm_r split_key (split_key > key); " "splitGT4 EmptyFM split_key = emptyFM; splitGT4 xwu xwv = splitGT3 xwu xwv; " The following Function with conditions "splitLT EmptyFM split_key = emptyFM; splitLT (Branch key elt vwv fm_l fm_r) split_key|split_key < keysplitLT fm_l split_key|split_key > keymkVBalBranch key elt fm_l (splitLT fm_r split_key)|otherwisefm_l; " is transformed to "splitLT EmptyFM split_key = splitLT4 EmptyFM split_key; splitLT (Branch key elt vwv fm_l fm_r) split_key = splitLT3 (Branch key elt vwv fm_l fm_r) split_key; " "splitLT1 key elt vwv fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key); splitLT1 key elt vwv fm_l fm_r split_key False = splitLT0 key elt vwv fm_l fm_r split_key otherwise; " "splitLT2 key elt vwv fm_l fm_r split_key True = splitLT fm_l split_key; splitLT2 key elt vwv fm_l fm_r split_key False = splitLT1 key elt vwv fm_l fm_r split_key (split_key > key); " "splitLT0 key elt vwv fm_l fm_r split_key True = fm_l; " "splitLT3 (Branch key elt vwv fm_l fm_r) split_key = splitLT2 key elt vwv fm_l fm_r split_key (split_key < key); " "splitLT4 EmptyFM split_key = emptyFM; splitLT4 xwy xwz = splitLT3 xwy xwz; " The following Function with conditions "mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; " is transformed to "mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); " "mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = double_R fm_L fm_R; " "mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = single_R fm_L fm_R; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; " "mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); " The following Function with conditions "mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; " is transformed to "mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); " "mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = double_L fm_L fm_R; " "mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = single_L fm_L fm_R; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; " "mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); " The following Function with conditions "mkBalBranch key elt fm_L fm_R|size_l + size_r < 2mkBranch 1 key elt fm_L fm_R|size_r > sIZE_RATIO * size_lmkBalBranch0 fm_L fm_R fm_R|size_l > sIZE_RATIO * size_rmkBalBranch1 fm_L fm_R fm_L|otherwisemkBranch 2 key elt fm_L fm_R where { double_L fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); ; double_R (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); ; mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr)|sizeFM fm_rl < 2 * sizeFM fm_rrsingle_L fm_L fm_R|otherwisedouble_L fm_L fm_R; ; mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr)|sizeFM fm_lr < 2 * sizeFM fm_llsingle_R fm_L fm_R|otherwisedouble_R fm_L fm_R; ; single_L fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; ; single_R (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); ; size_l = sizeFM fm_L; ; size_r = sizeFM fm_R; } ; " is transformed to "mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; " "mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { double_L fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); ; double_R (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); ; mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); ; mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = double_L fm_L fm_R; ; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = single_L fm_L fm_R; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; ; mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); ; mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); ; mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = double_R fm_L fm_R; ; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = single_R fm_L fm_R; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; ; mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); ; mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; ; mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; ; mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); ; mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); ; single_L fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; ; single_R (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); ; size_l = sizeFM fm_L; ; size_r = sizeFM fm_R; } ; " The following Function with conditions "lookupFM EmptyFM key = Nothing; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find|key_to_find < keylookupFM fm_l key_to_find|key_to_find > keylookupFM fm_r key_to_find|otherwiseJust elt; " is transformed to "lookupFM EmptyFM key = lookupFM4 EmptyFM key; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find; " "lookupFM2 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find; lookupFM2 key elt wvv fm_l fm_r key_to_find False = lookupFM1 key elt wvv fm_l fm_r key_to_find (key_to_find > key); " "lookupFM1 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find; lookupFM1 key elt wvv fm_l fm_r key_to_find False = lookupFM0 key elt wvv fm_l fm_r key_to_find otherwise; " "lookupFM0 key elt wvv fm_l fm_r key_to_find True = Just elt; " "lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM2 key elt wvv fm_l fm_r key_to_find (key_to_find < key); " "lookupFM4 EmptyFM key = Nothing; lookupFM4 xxy xxz = lookupFM3 xxy xxz; " ---------------------------------------- (10) Obligation: mainModule Main module FiniteMap where { import qualified Main; import qualified Maybe; import qualified Prelude; data FiniteMap b a = EmptyFM | Branch b a Int (FiniteMap b a) (FiniteMap b a) ; instance (Eq a, Eq b) => Eq FiniteMap b a where { (==) fm_1 fm_2 = sizeFM fm_1 == sizeFM fm_2 && fmToList fm_1 == fmToList fm_2; } addToFM :: Ord a => FiniteMap a b -> a -> b -> FiniteMap a b; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> b -> a -> FiniteMap b a; addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); addToFM_C4 combiner EmptyFM key elt = unitFM key elt; addToFM_C4 wzu wzv wzw wzx = addToFM_C3 wzu wzv wzw wzx; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap a b -> (a,b); findMax (Branch key elt vxy vxz EmptyFM) = (key,elt); findMax (Branch key elt vyu vyv fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt wvw EmptyFM wvx) = (key,elt); findMin (Branch key elt wvy fm_l wvz) = findMin fm_l; fmToList :: FiniteMap b a -> [(b,a)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (c -> b -> a -> a) -> a -> FiniteMap c b -> a; foldFM k z EmptyFM = z; foldFM k z (Branch key elt wuw fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; lookupFM EmptyFM key = lookupFM4 EmptyFM key; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find; lookupFM0 key elt wvv fm_l fm_r key_to_find True = Just elt; lookupFM1 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find; lookupFM1 key elt wvv fm_l fm_r key_to_find False = lookupFM0 key elt wvv fm_l fm_r key_to_find otherwise; lookupFM2 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find; lookupFM2 key elt wvv fm_l fm_r key_to_find False = lookupFM1 key elt wvv fm_l fm_r key_to_find (key_to_find > key); lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM2 key elt wvv fm_l fm_r key_to_find (key_to_find < key); lookupFM4 EmptyFM key = Nothing; lookupFM4 xxy xxz = lookupFM3 xxy xxz; mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; mkBalBranch6 key elt fm_L fm_R = mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { double_L fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); double_R (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = double_L fm_L fm_R; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = single_L fm_L fm_R; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = double_R fm_L fm_R; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = single_R fm_L fm_R; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); single_L fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; single_R (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); size_l = sizeFM fm_L; size_r = sizeFM fm_R; }; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; left_ok = left_ok0 fm_l key fm_l; left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key vww vwx vwy vwz) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; left_size = sizeFM fm_l; right_ok = right_ok0 fm_r key fm_r; right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key vxu vxv vxw vxx) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; right_size = sizeFM fm_r; unbox :: Int -> Int; unbox x = x; }; mkVBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_l < size_r) where { mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_r < size_l); size_l = sizeFM (Branch vuv vuw vux vuy vuz); size_r = sizeFM (Branch vvv vvw vvx vvy vvz); }; mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch4 xuv xuw xux xuy = mkVBalBranch3 xuv xuw xux xuy; mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch5 xvu xvv xvw xvx = mkVBalBranch4 xvu xvv xvw xvx; plusFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 zz left right) = mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; lts = splitLT fm1 split_key; new_elt = new_elt0 elt2 combiner (lookupFM fm1 split_key); new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; }; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap a b -> Int; sizeFM EmptyFM = 0; sizeFM (Branch wux wuy size wuz wvu) = size; splitGT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitGT EmptyFM split_key = splitGT4 EmptyFM split_key; splitGT (Branch key elt vwu fm_l fm_r) split_key = splitGT3 (Branch key elt vwu fm_l fm_r) split_key; splitGT0 key elt vwu fm_l fm_r split_key True = fm_r; splitGT1 key elt vwu fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r; splitGT1 key elt vwu fm_l fm_r split_key False = splitGT0 key elt vwu fm_l fm_r split_key otherwise; splitGT2 key elt vwu fm_l fm_r split_key True = splitGT fm_r split_key; splitGT2 key elt vwu fm_l fm_r split_key False = splitGT1 key elt vwu fm_l fm_r split_key (split_key < key); splitGT3 (Branch key elt vwu fm_l fm_r) split_key = splitGT2 key elt vwu fm_l fm_r split_key (split_key > key); splitGT4 EmptyFM split_key = emptyFM; splitGT4 xwu xwv = splitGT3 xwu xwv; splitLT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitLT EmptyFM split_key = splitLT4 EmptyFM split_key; splitLT (Branch key elt vwv fm_l fm_r) split_key = splitLT3 (Branch key elt vwv fm_l fm_r) split_key; splitLT0 key elt vwv fm_l fm_r split_key True = fm_l; splitLT1 key elt vwv fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key); splitLT1 key elt vwv fm_l fm_r split_key False = splitLT0 key elt vwv fm_l fm_r split_key otherwise; splitLT2 key elt vwv fm_l fm_r split_key True = splitLT fm_l split_key; splitLT2 key elt vwv fm_l fm_r split_key False = splitLT1 key elt vwv fm_l fm_r split_key (split_key > key); splitLT3 (Branch key elt vwv fm_l fm_r) split_key = splitLT2 key elt vwv fm_l fm_r split_key (split_key < key); splitLT4 EmptyFM split_key = emptyFM; splitLT4 xwy xwz = splitLT3 xwy xwz; unitFM :: b -> a -> FiniteMap b a; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (11) LetRed (EQUIVALENT) Let/Where Reductions: The bindings of the following Let/Where expression "gcd' (abs x) (abs y) where { gcd' x wwu = gcd'2 x wwu; gcd' x y = gcd'0 x y; ; gcd'0 x y = gcd' y (x `rem` y); ; gcd'1 True x wwu = x; gcd'1 wwv www wwx = gcd'0 www wwx; ; gcd'2 x wwu = gcd'1 (wwu == 0) x wwu; gcd'2 wwy wwz = gcd'0 wwy wwz; } " are unpacked to the following functions on top level "gcd0Gcd'1 True x wwu = x; gcd0Gcd'1 wwv www wwx = gcd0Gcd'0 www wwx; " "gcd0Gcd' x wwu = gcd0Gcd'2 x wwu; gcd0Gcd' x y = gcd0Gcd'0 x y; " "gcd0Gcd'0 x y = gcd0Gcd' y (x `rem` y); " "gcd0Gcd'2 x wwu = gcd0Gcd'1 (wwu == 0) x wwu; gcd0Gcd'2 wwy wwz = gcd0Gcd'0 wwy wwz; " The bindings of the following Let/Where expression "reduce1 x y (y == 0) where { d = gcd x y; ; reduce0 x y True = x `quot` d :% (y `quot` d); ; reduce1 x y True = error []; reduce1 x y False = reduce0 x y otherwise; } " are unpacked to the following functions on top level "reduce2D xyu xyv = gcd xyu xyv; " "reduce2Reduce1 xyu xyv x y True = error []; reduce2Reduce1 xyu xyv x y False = reduce2Reduce0 xyu xyv x y otherwise; " "reduce2Reduce0 xyu xyv x y True = x `quot` reduce2D xyu xyv :% (y `quot` reduce2D xyu xyv); " The bindings of the following Let/Where expression "mkBalBranch5 key elt fm_L fm_R (size_l + size_r < 2) where { double_L fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 key elt fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); ; double_R (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 key elt fm_lrr fm_r); ; mkBalBranch0 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); ; mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = double_L fm_L fm_R; ; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr True = single_L fm_L fm_R; mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch00 fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; ; mkBalBranch02 fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch01 fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); ; mkBalBranch1 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); ; mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = double_R fm_L fm_R; ; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr True = single_R fm_L fm_R; mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch10 fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; ; mkBalBranch12 fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch11 fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); ; mkBalBranch2 key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; ; mkBalBranch3 key elt fm_L fm_R True = mkBalBranch1 fm_L fm_R fm_L; mkBalBranch3 key elt fm_L fm_R False = mkBalBranch2 key elt fm_L fm_R otherwise; ; mkBalBranch4 key elt fm_L fm_R True = mkBalBranch0 fm_L fm_R fm_R; mkBalBranch4 key elt fm_L fm_R False = mkBalBranch3 key elt fm_L fm_R (size_l > sIZE_RATIO * size_r); ; mkBalBranch5 key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; mkBalBranch5 key elt fm_L fm_R False = mkBalBranch4 key elt fm_L fm_R (size_r > sIZE_RATIO * size_l); ; single_L fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 key elt fm_l fm_rl) fm_rr; ; single_R (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 key elt fm_lr fm_r); ; size_l = sizeFM fm_L; ; size_r = sizeFM fm_R; } " are unpacked to the following functions on top level "mkBalBranch6Single_L xyw xyx xyy xyz fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xyw xyx fm_l fm_rl) fm_rr; " "mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); " "mkBalBranch6Single_R xyw xyx xyy xyz (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xyw xyx fm_lr fm_r); " "mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_r xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_l xyw xyx xyy xyz); " "mkBalBranch6Double_L xyw xyx xyy xyz fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xyw xyx fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); " "mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Single_L xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; " "mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Single_R xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; " "mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R fm_R; mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_l xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_r xyw xyx xyy xyz); " "mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; " "mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Double_L xyw xyx xyy xyz fm_L fm_R; " "mkBalBranch6Size_r xyw xyx xyy xyz = sizeFM xyy; " "mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); " "mkBalBranch6Double_R xyw xyx xyy xyz (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xyw xyx fm_lrr fm_r); " "mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); " "mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R fm_L; mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R otherwise; " "mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Double_R xyw xyx xyy xyz fm_L fm_R; " "mkBalBranch6Size_l xyw xyx xyy xyz = sizeFM xyz; " "mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); " The bindings of the following Let/Where expression "let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result where { balance_ok = True; ; left_ok = left_ok0 fm_l key fm_l; ; left_ok0 fm_l key EmptyFM = True; left_ok0 fm_l key (Branch left_key vww vwx vwy vwz) = let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key; ; left_size = sizeFM fm_l; ; right_ok = right_ok0 fm_r key fm_r; ; right_ok0 fm_r key EmptyFM = True; right_ok0 fm_r key (Branch right_key vxu vxv vxw vxx) = let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key; ; right_size = sizeFM fm_r; ; unbox x = x; } " are unpacked to the following functions on top level "mkBranchRight_ok0 xzu xzv xzw fm_r key EmptyFM = True; mkBranchRight_ok0 xzu xzv xzw fm_r key (Branch right_key vxu vxv vxw vxx) = key < mkBranchRight_ok0Smallest_right_key fm_r; " "mkBranchLeft_size xzu xzv xzw = sizeFM xzu; " "mkBranchRight_size xzu xzv xzw = sizeFM xzv; " "mkBranchLeft_ok0 xzu xzv xzw fm_l key EmptyFM = True; mkBranchLeft_ok0 xzu xzv xzw fm_l key (Branch left_key vww vwx vwy vwz) = mkBranchLeft_ok0Biggest_left_key fm_l < key; " "mkBranchRight_ok xzu xzv xzw = mkBranchRight_ok0 xzu xzv xzw xzv xzw xzv; " "mkBranchLeft_ok xzu xzv xzw = mkBranchLeft_ok0 xzu xzv xzw xzu xzw xzu; " "mkBranchBalance_ok xzu xzv xzw = True; " "mkBranchUnbox xzu xzv xzw x = x; " The bindings of the following Let/Where expression "let { result = Branch key elt (unbox (1 + left_size + right_size)) fm_l fm_r; } in result" are unpacked to the following functions on top level "mkBranchResult xzx xzy xzz yuu = Branch xzx xzy (mkBranchUnbox xzz yuu xzx (1 + mkBranchLeft_size xzz yuu xzx + mkBranchRight_size xzz yuu xzx)) xzz yuu; " The bindings of the following Let/Where expression "mkVBalBranch split_key new_elt (plusFM_C combiner lts left) (plusFM_C combiner gts right) where { gts = splitGT fm1 split_key; ; lts = splitLT fm1 split_key; ; new_elt = new_elt0 elt2 combiner (lookupFM fm1 split_key); ; new_elt0 elt2 combiner Nothing = elt2; new_elt0 elt2 combiner (Just elt1) = combiner elt1 elt2; } " are unpacked to the following functions on top level "plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner Nothing = elt2; plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner (Just elt1) = combiner elt1 elt2; " "plusFM_CGts yuv yuw yux yuy = splitGT yuv yuw; " "plusFM_CNew_elt yuv yuw yux yuy = plusFM_CNew_elt0 yuv yuw yux yuy yux yuy (lookupFM yuv yuw); " "plusFM_CLts yuv yuw yux yuy = splitLT yuv yuw; " The bindings of the following Let/Where expression "mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_l < size_r) where { mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); ; mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch0 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; ; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch2 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch1 key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * size_r < size_l); ; size_l = sizeFM (Branch vuv vuw vux vuy vuz); ; size_r = sizeFM (Branch vvv vvw vvx vvy vvz); } " are unpacked to the following functions on top level "mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; " "mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww < mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww); " "mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yuz yvu yvv yvw yvx); " "mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yvy yvz ywu ywv yww); " "mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); " The bindings of the following Let/Where expression "let { smallest_right_key = fst (findMin fm_r); } in key < smallest_right_key" are unpacked to the following functions on top level "mkBranchRight_ok0Smallest_right_key ywx = fst (findMin ywx); " The bindings of the following Let/Where expression "let { biggest_left_key = fst (findMax fm_l); } in biggest_left_key < key" are unpacked to the following functions on top level "mkBranchLeft_ok0Biggest_left_key ywy = fst (findMax ywy); " ---------------------------------------- (12) Obligation: mainModule Main module FiniteMap where { import qualified Main; 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; } addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); addToFM_C4 combiner EmptyFM key elt = unitFM key elt; addToFM_C4 wzu wzv wzw wzx = addToFM_C3 wzu wzv wzw wzx; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap b a -> (b,a); findMax (Branch key elt vxy vxz EmptyFM) = (key,elt); findMax (Branch key elt vyu vyv fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt wvw EmptyFM wvx) = (key,elt); findMin (Branch key elt wvy fm_l wvz) = findMin fm_l; fmToList :: FiniteMap a b -> [(a,b)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (b -> a -> c -> c) -> c -> FiniteMap b a -> c; foldFM k z EmptyFM = z; foldFM k z (Branch key elt wuw fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord b => FiniteMap b a -> b -> Maybe a; lookupFM EmptyFM key = lookupFM4 EmptyFM key; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find; lookupFM0 key elt wvv fm_l fm_r key_to_find True = Just elt; lookupFM1 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find; lookupFM1 key elt wvv fm_l fm_r key_to_find False = lookupFM0 key elt wvv fm_l fm_r key_to_find otherwise; lookupFM2 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find; lookupFM2 key elt wvv fm_l fm_r key_to_find False = lookupFM1 key elt wvv fm_l fm_r key_to_find (key_to_find > key); lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM2 key elt wvv fm_l fm_r key_to_find (key_to_find < key); lookupFM4 EmptyFM key = Nothing; lookupFM4 xxy xxz = lookupFM3 xxy xxz; mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < 2); mkBalBranch6Double_L xyw xyx xyy xyz fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch 5 key_rl elt_rl (mkBranch 6 xyw xyx fm_l fm_rll) (mkBranch 7 key_r elt_r fm_rlr fm_rr); mkBalBranch6Double_R xyw xyx xyy xyz (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch 10 key_lr elt_lr (mkBranch 11 key_l elt_l fm_ll fm_lrl) (mkBranch 12 xyw xyx fm_lrr fm_r); mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Double_L xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Single_L xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < 2 * sizeFM fm_rr); mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Double_R xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Single_R xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < 2 * sizeFM fm_ll); mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch 2 key elt fm_L fm_R; mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R fm_L; mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R otherwise; mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R fm_R; mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_l xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_r xyw xyx xyy xyz); mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch 1 key elt fm_L fm_R; mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_r xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_l xyw xyx xyy xyz); mkBalBranch6Single_L xyw xyx xyy xyz fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch 3 key_r elt_r (mkBranch 4 xyw xyx fm_l fm_rl) fm_rr; mkBalBranch6Single_R xyw xyx xyy xyz (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch 8 key_l elt_l fm_ll (mkBranch 9 xyw xyx fm_lr fm_r); mkBalBranch6Size_l xyw xyx xyy xyz = sizeFM xyz; mkBalBranch6Size_r xyw xyx xyy xyz = sizeFM xyy; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_l fm_r; mkBranchBalance_ok xzu xzv xzw = True; mkBranchLeft_ok xzu xzv xzw = mkBranchLeft_ok0 xzu xzv xzw xzu xzw xzu; mkBranchLeft_ok0 xzu xzv xzw fm_l key EmptyFM = True; mkBranchLeft_ok0 xzu xzv xzw fm_l key (Branch left_key vww vwx vwy vwz) = mkBranchLeft_ok0Biggest_left_key fm_l < key; mkBranchLeft_ok0Biggest_left_key ywy = fst (findMax ywy); mkBranchLeft_size xzu xzv xzw = sizeFM xzu; mkBranchResult xzx xzy xzz yuu = Branch xzx xzy (mkBranchUnbox xzz yuu xzx (1 + mkBranchLeft_size xzz yuu xzx + mkBranchRight_size xzz yuu xzx)) xzz yuu; mkBranchRight_ok xzu xzv xzw = mkBranchRight_ok0 xzu xzv xzw xzv xzw xzv; mkBranchRight_ok0 xzu xzv xzw fm_r key EmptyFM = True; mkBranchRight_ok0 xzu xzv xzw fm_r key (Branch right_key vxu vxv vxw vxx) = key < mkBranchRight_ok0Smallest_right_key fm_r; mkBranchRight_ok0Smallest_right_key ywx = fst (findMin ywx); mkBranchRight_size xzu xzv xzw = sizeFM xzv; mkBranchUnbox :: Ord a => -> (FiniteMap a b) ( -> (FiniteMap a b) ( -> a (Int -> Int))); mkBranchUnbox xzu xzv xzw x = x; mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3MkVBalBranch2 vvv vvw vvx vvy vvz vuv vuw vux vuy vuz key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * mkVBalBranch3Size_l vvv vvw vvx vvy vvz vuv vuw vux vuy vuz < mkVBalBranch3Size_r vvv vvw vvx vvy vvz vuv vuw vux vuy vuz); mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch 13 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww < mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww); mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yvy yvz ywu ywv yww); mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yuz yvu yvv yvw yvx); mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch4 xuv xuw xux xuy = mkVBalBranch3 xuv xuw xux xuy; mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch5 xvu xvv xvw xvx = mkVBalBranch4 xvu xvv xvw xvx; plusFM_C :: Ord b => (a -> a -> a) -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 zz left right) = mkVBalBranch split_key (plusFM_CNew_elt fm1 split_key elt2 combiner) (plusFM_C combiner (plusFM_CLts fm1 split_key elt2 combiner) left) (plusFM_C combiner (plusFM_CGts fm1 split_key elt2 combiner) right); plusFM_CGts yuv yuw yux yuy = splitGT yuv yuw; plusFM_CLts yuv yuw yux yuy = splitLT yuv yuw; plusFM_CNew_elt yuv yuw yux yuy = plusFM_CNew_elt0 yuv yuw yux yuy yux yuy (lookupFM yuv yuw); plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner Nothing = elt2; plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner (Just elt1) = combiner elt1 elt2; sIZE_RATIO :: Int; sIZE_RATIO = 5; sizeFM :: FiniteMap b a -> Int; sizeFM EmptyFM = 0; sizeFM (Branch wux wuy size wuz wvu) = size; splitGT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitGT EmptyFM split_key = splitGT4 EmptyFM split_key; splitGT (Branch key elt vwu fm_l fm_r) split_key = splitGT3 (Branch key elt vwu fm_l fm_r) split_key; splitGT0 key elt vwu fm_l fm_r split_key True = fm_r; splitGT1 key elt vwu fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r; splitGT1 key elt vwu fm_l fm_r split_key False = splitGT0 key elt vwu fm_l fm_r split_key otherwise; splitGT2 key elt vwu fm_l fm_r split_key True = splitGT fm_r split_key; splitGT2 key elt vwu fm_l fm_r split_key False = splitGT1 key elt vwu fm_l fm_r split_key (split_key < key); splitGT3 (Branch key elt vwu fm_l fm_r) split_key = splitGT2 key elt vwu fm_l fm_r split_key (split_key > key); splitGT4 EmptyFM split_key = emptyFM; splitGT4 xwu xwv = splitGT3 xwu xwv; splitLT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitLT EmptyFM split_key = splitLT4 EmptyFM split_key; splitLT (Branch key elt vwv fm_l fm_r) split_key = splitLT3 (Branch key elt vwv fm_l fm_r) split_key; splitLT0 key elt vwv fm_l fm_r split_key True = fm_l; splitLT1 key elt vwv fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key); splitLT1 key elt vwv fm_l fm_r split_key False = splitLT0 key elt vwv fm_l fm_r split_key otherwise; splitLT2 key elt vwv fm_l fm_r split_key True = splitLT fm_l split_key; splitLT2 key elt vwv fm_l fm_r split_key False = splitLT1 key elt vwv fm_l fm_r split_key (split_key > key); splitLT3 (Branch key elt vwv fm_l fm_r) split_key = splitLT2 key elt vwv fm_l fm_r split_key (split_key < key); splitLT4 EmptyFM split_key = emptyFM; splitLT4 xwy xwz = splitLT3 xwy xwz; unitFM :: b -> a -> FiniteMap b a; unitFM key elt = Branch key elt 1 emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (13) NumRed (SOUND) Num Reduction:All numbers are transformed to their corresponding representation with Succ, Pred and Zero. ---------------------------------------- (14) Obligation: mainModule Main module FiniteMap where { import qualified Main; 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; } addToFM :: Ord b => FiniteMap b a -> b -> a -> FiniteMap b a; addToFM fm key elt = addToFM_C addToFM0 fm key elt; addToFM0 old new = new; addToFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> a -> b -> FiniteMap a b; addToFM_C combiner EmptyFM key elt = addToFM_C4 combiner EmptyFM key elt; addToFM_C combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt; addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt True = Branch new_key (combiner elt new_elt) size fm_l fm_r; addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt fm_l (addToFM_C combiner fm_r new_key new_elt); addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C0 combiner key elt size fm_l fm_r new_key new_elt otherwise; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt True = mkBalBranch key elt (addToFM_C combiner fm_l new_key new_elt) fm_r; addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt False = addToFM_C1 combiner key elt size fm_l fm_r new_key new_elt (new_key > key); addToFM_C3 combiner (Branch key elt size fm_l fm_r) new_key new_elt = addToFM_C2 combiner key elt size fm_l fm_r new_key new_elt (new_key < key); addToFM_C4 combiner EmptyFM key elt = unitFM key elt; addToFM_C4 wzu wzv wzw wzx = addToFM_C3 wzu wzv wzw wzx; emptyFM :: FiniteMap a b; emptyFM = EmptyFM; findMax :: FiniteMap b a -> (b,a); findMax (Branch key elt vxy vxz EmptyFM) = (key,elt); findMax (Branch key elt vyu vyv fm_r) = findMax fm_r; findMin :: FiniteMap b a -> (b,a); findMin (Branch key elt wvw EmptyFM wvx) = (key,elt); findMin (Branch key elt wvy fm_l wvz) = findMin fm_l; fmToList :: FiniteMap b a -> [(b,a)]; fmToList fm = foldFM fmToList0 [] fm; fmToList0 key elt rest = (key,elt) : rest; foldFM :: (a -> c -> b -> b) -> b -> FiniteMap a c -> b; foldFM k z EmptyFM = z; foldFM k z (Branch key elt wuw fm_l fm_r) = foldFM k (k key elt (foldFM k z fm_r)) fm_l; lookupFM :: Ord a => FiniteMap a b -> a -> Maybe b; lookupFM EmptyFM key = lookupFM4 EmptyFM key; lookupFM (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find; lookupFM0 key elt wvv fm_l fm_r key_to_find True = Just elt; lookupFM1 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_r key_to_find; lookupFM1 key elt wvv fm_l fm_r key_to_find False = lookupFM0 key elt wvv fm_l fm_r key_to_find otherwise; lookupFM2 key elt wvv fm_l fm_r key_to_find True = lookupFM fm_l key_to_find; lookupFM2 key elt wvv fm_l fm_r key_to_find False = lookupFM1 key elt wvv fm_l fm_r key_to_find (key_to_find > key); lookupFM3 (Branch key elt wvv fm_l fm_r) key_to_find = lookupFM2 key elt wvv fm_l fm_r key_to_find (key_to_find < key); lookupFM4 EmptyFM key = Nothing; lookupFM4 xxy xxz = lookupFM3 xxy xxz; mkBalBranch :: Ord a => a -> b -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; mkBalBranch key elt fm_L fm_R = mkBalBranch6 key elt fm_L fm_R; mkBalBranch6 key elt fm_L fm_R = mkBalBranch6MkBalBranch5 key elt fm_R fm_L key elt fm_L fm_R (mkBalBranch6Size_l key elt fm_R fm_L + mkBalBranch6Size_r key elt fm_R fm_L < Pos (Succ (Succ Zero))); mkBalBranch6Double_L xyw xyx xyy xyz fm_l (Branch key_r elt_r vzw (Branch key_rl elt_rl vzx fm_rll fm_rlr) fm_rr) = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ Zero)))))) key_rl elt_rl (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))) xyw xyx fm_l fm_rll) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) key_r elt_r fm_rlr fm_rr); mkBalBranch6Double_R xyw xyx xyy xyz (Branch key_l elt_l vyx fm_ll (Branch key_lr elt_lr vyy fm_lrl fm_lrr)) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) key_lr elt_lr (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) key_l elt_l fm_ll fm_lrl) (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) xyw xyx fm_lrr fm_r); mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr); mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Double_L xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr True = mkBalBranch6Single_L xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr False = mkBalBranch6MkBalBranch00 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr otherwise; mkBalBranch6MkBalBranch02 xyw xyx xyy xyz fm_L fm_R (Branch vzy vzz wuu fm_rl fm_rr) = mkBalBranch6MkBalBranch01 xyw xyx xyy xyz fm_L fm_R vzy vzz wuu fm_rl fm_rr (sizeFM fm_rl < Pos (Succ (Succ Zero)) * sizeFM fm_rr); mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr); mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Double_R xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr True = mkBalBranch6Single_R xyw xyx xyy xyz fm_L fm_R; mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr False = mkBalBranch6MkBalBranch10 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr otherwise; mkBalBranch6MkBalBranch12 xyw xyx xyy xyz fm_L fm_R (Branch vyz vzu vzv fm_ll fm_lr) = mkBalBranch6MkBalBranch11 xyw xyx xyy xyz fm_L fm_R vyz vzu vzv fm_ll fm_lr (sizeFM fm_lr < Pos (Succ (Succ Zero)) * sizeFM fm_ll); mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch (Pos (Succ (Succ Zero))) key elt fm_L fm_R; mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch1 xyw xyx xyy xyz fm_L fm_R fm_L; mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch2 xyw xyx xyy xyz key elt fm_L fm_R otherwise; mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R True = mkBalBranch6MkBalBranch0 xyw xyx xyy xyz fm_L fm_R fm_R; mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch3 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_l xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_r xyw xyx xyy xyz); mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R True = mkBranch (Pos (Succ Zero)) key elt fm_L fm_R; mkBalBranch6MkBalBranch5 xyw xyx xyy xyz key elt fm_L fm_R False = mkBalBranch6MkBalBranch4 xyw xyx xyy xyz key elt fm_L fm_R (mkBalBranch6Size_r xyw xyx xyy xyz > sIZE_RATIO * mkBalBranch6Size_l xyw xyx xyy xyz); mkBalBranch6Single_L xyw xyx xyy xyz fm_l (Branch key_r elt_r wuv fm_rl fm_rr) = mkBranch (Pos (Succ (Succ (Succ Zero)))) key_r elt_r (mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) xyw xyx fm_l fm_rl) fm_rr; mkBalBranch6Single_R xyw xyx xyy xyz (Branch key_l elt_l vyw fm_ll fm_lr) fm_r = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))) key_l elt_l fm_ll (mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))) xyw xyx fm_lr fm_r); mkBalBranch6Size_l xyw xyx xyy xyz = sizeFM xyz; mkBalBranch6Size_r xyw xyx xyy xyz = sizeFM xyy; mkBranch :: Ord b => Int -> b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkBranch which key elt fm_l fm_r = mkBranchResult key elt fm_l fm_r; mkBranchBalance_ok xzu xzv xzw = True; mkBranchLeft_ok xzu xzv xzw = mkBranchLeft_ok0 xzu xzv xzw xzu xzw xzu; mkBranchLeft_ok0 xzu xzv xzw fm_l key EmptyFM = True; mkBranchLeft_ok0 xzu xzv xzw fm_l key (Branch left_key vww vwx vwy vwz) = mkBranchLeft_ok0Biggest_left_key fm_l < key; mkBranchLeft_ok0Biggest_left_key ywy = fst (findMax ywy); mkBranchLeft_size xzu xzv xzw = sizeFM xzu; mkBranchResult xzx xzy xzz yuu = Branch xzx xzy (mkBranchUnbox xzz yuu xzx (Pos (Succ Zero) + mkBranchLeft_size xzz yuu xzx + mkBranchRight_size xzz yuu xzx)) xzz yuu; mkBranchRight_ok xzu xzv xzw = mkBranchRight_ok0 xzu xzv xzw xzv xzw xzv; mkBranchRight_ok0 xzu xzv xzw fm_r key EmptyFM = True; mkBranchRight_ok0 xzu xzv xzw fm_r key (Branch right_key vxu vxv vxw vxx) = key < mkBranchRight_ok0Smallest_right_key fm_r; mkBranchRight_ok0Smallest_right_key ywx = fst (findMin ywx); mkBranchRight_size xzu xzv xzw = sizeFM xzv; mkBranchUnbox :: Ord a => -> (FiniteMap a b) ( -> (FiniteMap a b) ( -> a (Int -> Int))); mkBranchUnbox xzu xzv xzw x = x; mkVBalBranch :: Ord b => b -> a -> FiniteMap b a -> FiniteMap b a -> FiniteMap b a; mkVBalBranch key elt EmptyFM fm_r = mkVBalBranch5 key elt EmptyFM fm_r; mkVBalBranch key elt fm_l EmptyFM = mkVBalBranch4 key elt fm_l EmptyFM; mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch3 key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz) = mkVBalBranch3MkVBalBranch2 vvv vvw vvx vvy vvz vuv vuw vux vuy vuz key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * mkVBalBranch3Size_l vvv vvw vvx vvy vvz vuv vuw vux vuy vuz < mkVBalBranch3Size_r vvv vvw vvx vvy vvz vuv vuw vux vuy vuz); mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) key elt (Branch vuv vuw vux vuy vuz) (Branch vvv vvw vvx vvy vvz); mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vuv vuw vuy (mkVBalBranch key elt vuz (Branch vvv vvw vvx vvy vvz)); mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch0 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz otherwise; mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz True = mkBalBranch vvv vvw (mkVBalBranch key elt (Branch vuv vuw vux vuy vuz) vvy) vvz; mkVBalBranch3MkVBalBranch2 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz False = mkVBalBranch3MkVBalBranch1 yuz yvu yvv yvw yvx yvy yvz ywu ywv yww key elt vuv vuw vux vuy vuz vvv vvw vvx vvy vvz (sIZE_RATIO * mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww < mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww); mkVBalBranch3Size_l yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yvy yvz ywu ywv yww); mkVBalBranch3Size_r yuz yvu yvv yvw yvx yvy yvz ywu ywv yww = sizeFM (Branch yuz yvu yvv yvw yvx); mkVBalBranch4 key elt fm_l EmptyFM = addToFM fm_l key elt; mkVBalBranch4 xuv xuw xux xuy = mkVBalBranch3 xuv xuw xux xuy; mkVBalBranch5 key elt EmptyFM fm_r = addToFM fm_r key elt; mkVBalBranch5 xvu xvv xvw xvx = mkVBalBranch4 xvu xvv xvw xvx; plusFM_C :: Ord a => (b -> b -> b) -> FiniteMap a b -> FiniteMap a b -> FiniteMap a b; plusFM_C combiner EmptyFM fm2 = fm2; plusFM_C combiner fm1 EmptyFM = fm1; plusFM_C combiner fm1 (Branch split_key elt2 zz left right) = mkVBalBranch split_key (plusFM_CNew_elt fm1 split_key elt2 combiner) (plusFM_C combiner (plusFM_CLts fm1 split_key elt2 combiner) left) (plusFM_C combiner (plusFM_CGts fm1 split_key elt2 combiner) right); plusFM_CGts yuv yuw yux yuy = splitGT yuv yuw; plusFM_CLts yuv yuw yux yuy = splitLT yuv yuw; plusFM_CNew_elt yuv yuw yux yuy = plusFM_CNew_elt0 yuv yuw yux yuy yux yuy (lookupFM yuv yuw); plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner Nothing = elt2; plusFM_CNew_elt0 yuv yuw yux yuy elt2 combiner (Just elt1) = combiner elt1 elt2; sIZE_RATIO :: Int; sIZE_RATIO = Pos (Succ (Succ (Succ (Succ (Succ Zero))))); sizeFM :: FiniteMap b a -> Int; sizeFM EmptyFM = Pos Zero; sizeFM (Branch wux wuy size wuz wvu) = size; splitGT :: Ord b => FiniteMap b a -> b -> FiniteMap b a; splitGT EmptyFM split_key = splitGT4 EmptyFM split_key; splitGT (Branch key elt vwu fm_l fm_r) split_key = splitGT3 (Branch key elt vwu fm_l fm_r) split_key; splitGT0 key elt vwu fm_l fm_r split_key True = fm_r; splitGT1 key elt vwu fm_l fm_r split_key True = mkVBalBranch key elt (splitGT fm_l split_key) fm_r; splitGT1 key elt vwu fm_l fm_r split_key False = splitGT0 key elt vwu fm_l fm_r split_key otherwise; splitGT2 key elt vwu fm_l fm_r split_key True = splitGT fm_r split_key; splitGT2 key elt vwu fm_l fm_r split_key False = splitGT1 key elt vwu fm_l fm_r split_key (split_key < key); splitGT3 (Branch key elt vwu fm_l fm_r) split_key = splitGT2 key elt vwu fm_l fm_r split_key (split_key > key); splitGT4 EmptyFM split_key = emptyFM; splitGT4 xwu xwv = splitGT3 xwu xwv; splitLT :: Ord a => FiniteMap a b -> a -> FiniteMap a b; splitLT EmptyFM split_key = splitLT4 EmptyFM split_key; splitLT (Branch key elt vwv fm_l fm_r) split_key = splitLT3 (Branch key elt vwv fm_l fm_r) split_key; splitLT0 key elt vwv fm_l fm_r split_key True = fm_l; splitLT1 key elt vwv fm_l fm_r split_key True = mkVBalBranch key elt fm_l (splitLT fm_r split_key); splitLT1 key elt vwv fm_l fm_r split_key False = splitLT0 key elt vwv fm_l fm_r split_key otherwise; splitLT2 key elt vwv fm_l fm_r split_key True = splitLT fm_l split_key; splitLT2 key elt vwv fm_l fm_r split_key False = splitLT1 key elt vwv fm_l fm_r split_key (split_key > key); splitLT3 (Branch key elt vwv fm_l fm_r) split_key = splitLT2 key elt vwv fm_l fm_r split_key (split_key < key); splitLT4 EmptyFM split_key = emptyFM; splitLT4 xwy xwz = splitLT3 xwy xwz; unitFM :: b -> a -> FiniteMap b a; unitFM key elt = Branch key elt (Pos (Succ Zero)) emptyFM emptyFM; } module Maybe where { import qualified FiniteMap; import qualified Main; import qualified Prelude; } module Main where { import qualified FiniteMap; import qualified Maybe; import qualified Prelude; } ---------------------------------------- (15) Narrow (SOUND) Haskell To QDPs digraph dp_graph { node [outthreshold=100, inthreshold=100];1[label="FiniteMap.plusFM_C",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 3[label="FiniteMap.plusFM_C ywz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 4[label="FiniteMap.plusFM_C ywz3 ywz4",fontsize=16,color="grey",shape="box"];4 -> 5[label="",style="dashed", color="grey", weight=3]; 5[label="FiniteMap.plusFM_C ywz3 ywz4 ywz5",fontsize=16,color="burlywood",shape="triangle"];4647[label="ywz4/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];5 -> 4647[label="",style="solid", 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(FiniteMap.plusFM_C ywz3 (FiniteMap.plusFM_CGts (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) ywz54)",fontsize=16,color="magenta"];12 -> 14[label="",style="dashed", color="magenta", weight=3]; 12 -> 15[label="",style="dashed", color="magenta", weight=3]; 14 -> 5[label="",style="dashed", color="red", weight=0]; 14[label="FiniteMap.plusFM_C ywz3 (FiniteMap.plusFM_CGts (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) ywz54",fontsize=16,color="magenta"];14 -> 16[label="",style="dashed", color="magenta", weight=3]; 14 -> 17[label="",style="dashed", color="magenta", weight=3]; 15 -> 5[label="",style="dashed", color="red", weight=0]; 15[label="FiniteMap.plusFM_C ywz3 (FiniteMap.plusFM_CLts (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) ywz53",fontsize=16,color="magenta"];15 -> 18[label="",style="dashed", color="magenta", weight=3]; 15 -> 19[label="",style="dashed", color="magenta", weight=3]; 13[label="FiniteMap.mkVBalBranch ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) ywz7 ywz6",fontsize=16,color="burlywood",shape="triangle"];4651[label="ywz7/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];13 -> 4651[label="",style="solid", color="burlywood", weight=9]; 4651 -> 20[label="",style="solid", color="burlywood", weight=3]; 4652[label="ywz7/FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=10,color="white",style="solid",shape="box"];13 -> 4652[label="",style="solid", color="burlywood", weight=9]; 4652 -> 21[label="",style="solid", color="burlywood", weight=3]; 16[label="FiniteMap.plusFM_CGts (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3",fontsize=16,color="black",shape="box"];16 -> 22[label="",style="solid", color="black", weight=3]; 17[label="ywz54",fontsize=16,color="green",shape="box"];18[label="FiniteMap.plusFM_CLts (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 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4654[label="",style="solid", color="burlywood", weight=9]; 4654 -> 26[label="",style="solid", color="burlywood", weight=3]; 22[label="FiniteMap.splitGT (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50",fontsize=16,color="black",shape="box"];22 -> 27[label="",style="solid", color="black", weight=3]; 23[label="FiniteMap.splitLT (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50",fontsize=16,color="black",shape="box"];23 -> 28[label="",style="solid", color="black", weight=3]; 24[label="FiniteMap.mkVBalBranch5 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) FiniteMap.EmptyFM ywz6",fontsize=16,color="black",shape="box"];24 -> 29[label="",style="solid", color="black", weight=3]; 25[label="FiniteMap.mkVBalBranch ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];25 -> 30[label="",style="solid", color="black", weight=3]; 26[label="FiniteMap.mkVBalBranch ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74) (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="black",shape="box"];26 -> 31[label="",style="solid", color="black", weight=3]; 27[label="FiniteMap.splitGT3 (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50",fontsize=16,color="black",shape="triangle"];27 -> 32[label="",style="solid", color="black", weight=3]; 28[label="FiniteMap.splitLT3 (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50",fontsize=16,color="black",shape="triangle"];28 -> 33[label="",style="solid", color="black", weight=3]; 29[label="FiniteMap.addToFM ywz6 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="triangle"];29 -> 34[label="",style="solid", color="black", weight=3]; 30[label="FiniteMap.mkVBalBranch4 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];30 -> 35[label="",style="solid", color="black", weight=3]; 31[label="FiniteMap.mkVBalBranch3 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74) (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="black",shape="box"];31 -> 36[label="",style="solid", color="black", weight=3]; 32[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (ywz50 > ywz40)",fontsize=16,color="black",shape="box"];32 -> 37[label="",style="solid", color="black", weight=3]; 33[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (ywz50 < ywz40)",fontsize=16,color="black",shape="box"];33 -> 38[label="",style="solid", color="black", weight=3]; 34[label="FiniteMap.addToFM_C FiniteMap.addToFM0 ywz6 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="burlywood",shape="box"];4655[label="ywz6/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];34 -> 4655[label="",style="solid", color="burlywood", weight=9]; 4655 -> 39[label="",style="solid", color="burlywood", weight=3]; 4656[label="ywz6/FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64",fontsize=10,color="white",style="solid",shape="box"];34 -> 4656[label="",style="solid", color="burlywood", weight=9]; 4656 -> 40[label="",style="solid", color="burlywood", weight=3]; 35 -> 29[label="",style="dashed", color="red", weight=0]; 35[label="FiniteMap.addToFM (FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74) ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="magenta"];35 -> 41[label="",style="dashed", color="magenta", weight=3]; 36 -> 2523[label="",style="dashed", color="red", weight=0]; 36[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) ywz70 ywz71 ywz72 ywz73 ywz74 ywz60 ywz61 ywz62 ywz63 ywz64 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74 < FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74)",fontsize=16,color="magenta"];36 -> 2524[label="",style="dashed", color="magenta", weight=3]; 36 -> 2525[label="",style="dashed", color="magenta", weight=3]; 36 -> 2526[label="",style="dashed", color="magenta", weight=3]; 36 -> 2527[label="",style="dashed", color="magenta", weight=3]; 36 -> 2528[label="",style="dashed", color="magenta", weight=3]; 36 -> 2529[label="",style="dashed", color="magenta", weight=3]; 36 -> 2530[label="",style="dashed", color="magenta", weight=3]; 37[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare ywz50 ywz40 == GT)",fontsize=16,color="black",shape="box"];37 -> 43[label="",style="solid", color="black", weight=3]; 38[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare ywz50 ywz40 == LT)",fontsize=16,color="black",shape="box"];38 -> 44[label="",style="solid", color="black", weight=3]; 39[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="box"];39 -> 45[label="",style="solid", color="black", weight=3]; 40[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64) ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="box"];40 -> 46[label="",style="solid", color="black", weight=3]; 41[label="FiniteMap.Branch ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=16,color="green",shape="box"];2524[label="ywz71",fontsize=16,color="green",shape="box"];2525 -> 2792[label="",style="dashed", color="red", weight=0]; 2525[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74 < FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=16,color="magenta"];2525 -> 2793[label="",style="dashed", color="magenta", weight=3]; 2525 -> 2794[label="",style="dashed", color="magenta", weight=3]; 2526 -> 68[label="",style="dashed", color="red", weight=0]; 2526[label="FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3",fontsize=16,color="magenta"];2527[label="ywz73",fontsize=16,color="green",shape="box"];2528[label="ywz70",fontsize=16,color="green",shape="box"];2529[label="ywz74",fontsize=16,color="green",shape="box"];2530[label="ywz72",fontsize=16,color="green",shape="box"];2523[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 ywz194",fontsize=16,color="burlywood",shape="triangle"];4657[label="ywz194/False",fontsize=10,color="white",style="solid",shape="box"];2523 -> 4657[label="",style="solid", color="burlywood", weight=9]; 4657 -> 2701[label="",style="solid", color="burlywood", weight=3]; 4658[label="ywz194/True",fontsize=10,color="white",style="solid",shape="box"];2523 -> 4658[label="",style="solid", color="burlywood", weight=9]; 4658 -> 2702[label="",style="solid", color="burlywood", weight=3]; 43[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare3 ywz50 ywz40 == GT)",fontsize=16,color="black",shape="box"];43 -> 48[label="",style="solid", color="black", weight=3]; 44[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare3 ywz50 ywz40 == LT)",fontsize=16,color="black",shape="box"];44 -> 49[label="",style="solid", color="black", weight=3]; 45[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="box"];45 -> 50[label="",style="solid", color="black", weight=3]; 46[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64) ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="box"];46 -> 51[label="",style="solid", color="black", weight=3]; 2793[label="FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=16,color="black",shape="triangle"];2793 -> 2809[label="",style="solid", color="black", weight=3]; 2794 -> 1120[label="",style="dashed", color="red", weight=0]; 2794[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=16,color="magenta"];2794 -> 2810[label="",style="dashed", color="magenta", weight=3]; 2794 -> 2811[label="",style="dashed", color="magenta", weight=3]; 2792[label="ywz209 < ywz208",fontsize=16,color="black",shape="triangle"];2792 -> 2812[label="",style="solid", color="black", weight=3]; 68[label="FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3",fontsize=16,color="black",shape="triangle"];68 -> 81[label="",style="solid", color="black", weight=3]; 2701[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 False",fontsize=16,color="black",shape="box"];2701 -> 2724[label="",style="solid", color="black", weight=3]; 2702[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 True",fontsize=16,color="black",shape="box"];2702 -> 2725[label="",style="solid", color="black", weight=3]; 48[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare2 ywz50 ywz40 (ywz50 == ywz40) == GT)",fontsize=16,color="burlywood",shape="box"];4659[label="ywz50/Nothing",fontsize=10,color="white",style="solid",shape="box"];48 -> 4659[label="",style="solid", color="burlywood", weight=9]; 4659 -> 53[label="",style="solid", color="burlywood", weight=3]; 4660[label="ywz50/Just ywz500",fontsize=10,color="white",style="solid",shape="box"];48 -> 4660[label="",style="solid", color="burlywood", weight=9]; 4660 -> 54[label="",style="solid", color="burlywood", weight=3]; 49[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 ywz50 (compare2 ywz50 ywz40 (ywz50 == ywz40) == LT)",fontsize=16,color="burlywood",shape="box"];4661[label="ywz50/Nothing",fontsize=10,color="white",style="solid",shape="box"];49 -> 4661[label="",style="solid", color="burlywood", weight=9]; 4661 -> 55[label="",style="solid", color="burlywood", weight=3]; 4662[label="ywz50/Just ywz500",fontsize=10,color="white",style="solid",shape="box"];49 -> 4662[label="",style="solid", color="burlywood", weight=9]; 4662 -> 56[label="",style="solid", color="burlywood", weight=3]; 50[label="FiniteMap.unitFM ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3)",fontsize=16,color="black",shape="box"];50 -> 57[label="",style="solid", color="black", weight=3]; 51 -> 3144[label="",style="dashed", color="red", weight=0]; 51[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz60 ywz61 ywz62 ywz63 ywz64 ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (ywz50 < ywz60)",fontsize=16,color="magenta"];51 -> 3145[label="",style="dashed", color="magenta", weight=3]; 51 -> 3146[label="",style="dashed", color="magenta", weight=3]; 51 -> 3147[label="",style="dashed", color="magenta", weight=3]; 51 -> 3148[label="",style="dashed", color="magenta", weight=3]; 51 -> 3149[label="",style="dashed", color="magenta", weight=3]; 51 -> 3150[label="",style="dashed", color="magenta", weight=3]; 51 -> 3151[label="",style="dashed", color="magenta", weight=3]; 2809[label="FiniteMap.sizeFM (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="black",shape="triangle"];2809 -> 2958[label="",style="solid", color="black", weight=3]; 2810 -> 2797[label="",style="dashed", color="red", weight=0]; 2810[label="FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz70 ywz71 ywz72 ywz73 ywz74",fontsize=16,color="magenta"];2810 -> 2959[label="",style="dashed", color="magenta", weight=3]; 2810 -> 2960[label="",style="dashed", color="magenta", weight=3]; 2810 -> 2961[label="",style="dashed", color="magenta", weight=3]; 2810 -> 2962[label="",style="dashed", color="magenta", weight=3]; 2810 -> 2963[label="",style="dashed", color="magenta", weight=3]; 2811[label="FiniteMap.sIZE_RATIO",fontsize=16,color="black",shape="triangle"];2811 -> 2964[label="",style="solid", color="black", weight=3]; 1120[label="ywz5001 * ywz4000",fontsize=16,color="black",shape="triangle"];1120 -> 1373[label="",style="solid", color="black", weight=3]; 2812 -> 120[label="",style="dashed", color="red", weight=0]; 2812[label="compare ywz209 ywz208 == LT",fontsize=16,color="magenta"];2812 -> 2965[label="",style="dashed", color="magenta", weight=3]; 2812 -> 2966[label="",style="dashed", color="magenta", weight=3]; 81[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3 ywz51 ywz3 (FiniteMap.lookupFM (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50)",fontsize=16,color="black",shape="box"];81 -> 109[label="",style="solid", color="black", weight=3]; 2724 -> 2788[label="",style="dashed", color="red", weight=0]; 2724[label="FiniteMap.mkVBalBranch3MkVBalBranch1 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 < FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744)",fontsize=16,color="magenta"];2724 -> 2789[label="",style="dashed", color="magenta", weight=3]; 2725 -> 2227[label="",style="dashed", color="red", weight=0]; 2725[label="FiniteMap.mkBalBranch ywz60 ywz61 (FiniteMap.mkVBalBranch ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) ywz63) ywz64",fontsize=16,color="magenta"];2725 -> 2745[label="",style="dashed", color="magenta", weight=3]; 2725 -> 2746[label="",style="dashed", color="magenta", weight=3]; 2725 -> 2747[label="",style="dashed", color="magenta", weight=3]; 2725 -> 2748[label="",style="dashed", color="magenta", weight=3]; 53[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing ywz40 (Nothing == ywz40) == GT)",fontsize=16,color="burlywood",shape="box"];4663[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];53 -> 4663[label="",style="solid", color="burlywood", weight=9]; 4663 -> 60[label="",style="solid", color="burlywood", weight=3]; 4664[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];53 -> 4664[label="",style="solid", color="burlywood", weight=9]; 4664 -> 61[label="",style="solid", color="burlywood", weight=3]; 54[label="FiniteMap.splitGT2 ywz40 ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) ywz40 (Just ywz500 == ywz40) == GT)",fontsize=16,color="burlywood",shape="box"];4665[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];54 -> 4665[label="",style="solid", color="burlywood", weight=9]; 4665 -> 62[label="",style="solid", color="burlywood", weight=3]; 4666[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];54 -> 4666[label="",style="solid", color="burlywood", weight=9]; 4666 -> 63[label="",style="solid", color="burlywood", weight=3]; 55[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing ywz40 (Nothing == ywz40) == LT)",fontsize=16,color="burlywood",shape="box"];4667[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];55 -> 4667[label="",style="solid", color="burlywood", weight=9]; 4667 -> 64[label="",style="solid", color="burlywood", weight=3]; 4668[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];55 -> 4668[label="",style="solid", color="burlywood", weight=9]; 4668 -> 65[label="",style="solid", color="burlywood", weight=3]; 56[label="FiniteMap.splitLT2 ywz40 ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) ywz40 (Just ywz500 == ywz40) == LT)",fontsize=16,color="burlywood",shape="box"];4669[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];56 -> 4669[label="",style="solid", color="burlywood", weight=9]; 4669 -> 66[label="",style="solid", color="burlywood", weight=3]; 4670[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];56 -> 4670[label="",style="solid", color="burlywood", weight=9]; 4670 -> 67[label="",style="solid", color="burlywood", weight=3]; 57[label="FiniteMap.Branch ywz50 (FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3) (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];57 -> 68[label="",style="dashed", color="green", weight=3]; 57 -> 69[label="",style="dashed", color="green", weight=3]; 57 -> 70[label="",style="dashed", color="green", weight=3]; 3145[label="ywz61",fontsize=16,color="green",shape="box"];3146 -> 68[label="",style="dashed", color="red", weight=0]; 3146[label="FiniteMap.plusFM_CNew_elt (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3",fontsize=16,color="magenta"];3147[label="ywz63",fontsize=16,color="green",shape="box"];3148 -> 357[label="",style="dashed", color="red", weight=0]; 3148[label="ywz50 < ywz60",fontsize=16,color="magenta"];3148 -> 3245[label="",style="dashed", color="magenta", weight=3]; 3149[label="ywz60",fontsize=16,color="green",shape="box"];3150[label="ywz64",fontsize=16,color="green",shape="box"];3151[label="ywz62",fontsize=16,color="green",shape="box"];3144[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz233",fontsize=16,color="burlywood",shape="triangle"];4671[label="ywz233/False",fontsize=10,color="white",style="solid",shape="box"];3144 -> 4671[label="",style="solid", color="burlywood", weight=9]; 4671 -> 3246[label="",style="solid", color="burlywood", weight=3]; 4672[label="ywz233/True",fontsize=10,color="white",style="solid",shape="box"];3144 -> 4672[label="",style="solid", color="burlywood", weight=9]; 4672 -> 3247[label="",style="solid", color="burlywood", weight=3]; 2958[label="ywz62",fontsize=16,color="green",shape="box"];2959[label="ywz71",fontsize=16,color="green",shape="box"];2960[label="ywz73",fontsize=16,color="green",shape="box"];2961[label="ywz70",fontsize=16,color="green",shape="box"];2962[label="ywz74",fontsize=16,color="green",shape="box"];2963[label="ywz72",fontsize=16,color="green",shape="box"];2797[label="FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="black",shape="triangle"];2797 -> 2815[label="",style="solid", color="black", weight=3]; 2964[label="Pos (Succ (Succ (Succ (Succ (Succ Zero)))))",fontsize=16,color="green",shape="box"];1373[label="primMulInt ywz5001 ywz4000",fontsize=16,color="burlywood",shape="triangle"];4673[label="ywz5001/Pos ywz50010",fontsize=10,color="white",style="solid",shape="box"];1373 -> 4673[label="",style="solid", color="burlywood", weight=9]; 4673 -> 1607[label="",style="solid", color="burlywood", weight=3]; 4674[label="ywz5001/Neg ywz50010",fontsize=10,color="white",style="solid",shape="box"];1373 -> 4674[label="",style="solid", color="burlywood", weight=9]; 4674 -> 1608[label="",style="solid", color="burlywood", weight=3]; 2965[label="LT",fontsize=16,color="green",shape="box"];2966 -> 2084[label="",style="dashed", color="red", weight=0]; 2966[label="compare ywz209 ywz208",fontsize=16,color="magenta"];2966 -> 2988[label="",style="dashed", color="magenta", weight=3]; 2966 -> 2989[label="",style="dashed", color="magenta", weight=3]; 120[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4675[label="ywz500/LT",fontsize=10,color="white",style="solid",shape="box"];120 -> 4675[label="",style="solid", color="burlywood", weight=9]; 4675 -> 163[label="",style="solid", color="burlywood", weight=3]; 4676[label="ywz500/EQ",fontsize=10,color="white",style="solid",shape="box"];120 -> 4676[label="",style="solid", color="burlywood", weight=9]; 4676 -> 164[label="",style="solid", color="burlywood", weight=3]; 4677[label="ywz500/GT",fontsize=10,color="white",style="solid",shape="box"];120 -> 4677[label="",style="solid", color="burlywood", weight=9]; 4677 -> 165[label="",style="solid", color="burlywood", weight=3]; 109 -> 4000[label="",style="dashed", color="red", weight=0]; 109[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50 ywz51 ywz3 ywz51 ywz3 (FiniteMap.lookupFM3 (FiniteMap.Branch ywz40 ywz41 ywz42 ywz43 ywz44) ywz50)",fontsize=16,color="magenta"];109 -> 4001[label="",style="dashed", color="magenta", weight=3]; 109 -> 4002[label="",style="dashed", color="magenta", weight=3]; 109 -> 4003[label="",style="dashed", color="magenta", weight=3]; 109 -> 4004[label="",style="dashed", color="magenta", weight=3]; 109 -> 4005[label="",style="dashed", color="magenta", weight=3]; 109 -> 4006[label="",style="dashed", color="magenta", weight=3]; 109 -> 4007[label="",style="dashed", color="magenta", weight=3]; 109 -> 4008[label="",style="dashed", color="magenta", weight=3]; 109 -> 4009[label="",style="dashed", color="magenta", weight=3]; 109 -> 4010[label="",style="dashed", color="magenta", weight=3]; 109 -> 4011[label="",style="dashed", color="magenta", weight=3]; 109 -> 4012[label="",style="dashed", color="magenta", weight=3]; 109 -> 4013[label="",style="dashed", color="magenta", weight=3]; 2789 -> 2792[label="",style="dashed", color="red", weight=0]; 2789[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 < FiniteMap.mkVBalBranch3Size_l ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];2789 -> 2797[label="",style="dashed", color="magenta", weight=3]; 2789 -> 2798[label="",style="dashed", color="magenta", weight=3]; 2788[label="FiniteMap.mkVBalBranch3MkVBalBranch1 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 ywz206",fontsize=16,color="burlywood",shape="triangle"];4678[label="ywz206/False",fontsize=10,color="white",style="solid",shape="box"];2788 -> 4678[label="",style="solid", color="burlywood", weight=9]; 4678 -> 2813[label="",style="solid", color="burlywood", weight=3]; 4679[label="ywz206/True",fontsize=10,color="white",style="solid",shape="box"];2788 -> 4679[label="",style="solid", color="burlywood", weight=9]; 4679 -> 2814[label="",style="solid", color="burlywood", weight=3]; 2745[label="ywz61",fontsize=16,color="green",shape="box"];2746[label="ywz64",fontsize=16,color="green",shape="box"];2747[label="FiniteMap.mkVBalBranch ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) ywz63",fontsize=16,color="burlywood",shape="box"];4680[label="ywz63/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];2747 -> 4680[label="",style="solid", color="burlywood", weight=9]; 4680 -> 2780[label="",style="solid", color="burlywood", weight=3]; 4681[label="ywz63/FiniteMap.Branch ywz630 ywz631 ywz632 ywz633 ywz634",fontsize=10,color="white",style="solid",shape="box"];2747 -> 4681[label="",style="solid", color="burlywood", weight=9]; 4681 -> 2781[label="",style="solid", color="burlywood", weight=3]; 2748[label="ywz60",fontsize=16,color="green",shape="box"];2227[label="FiniteMap.mkBalBranch ywz440 ywz441 ywz179 ywz444",fontsize=16,color="black",shape="triangle"];2227 -> 2266[label="",style="solid", color="black", weight=3]; 60[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing Nothing (Nothing == Nothing) == GT)",fontsize=16,color="black",shape="box"];60 -> 73[label="",style="solid", color="black", weight=3]; 61[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing (Just ywz400) (Nothing == Just ywz400) == GT)",fontsize=16,color="black",shape="box"];61 -> 74[label="",style="solid", color="black", weight=3]; 62[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) Nothing (Just ywz500 == Nothing) == GT)",fontsize=16,color="black",shape="box"];62 -> 75[label="",style="solid", color="black", weight=3]; 63[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) (Just ywz400) (Just ywz500 == Just ywz400) == GT)",fontsize=16,color="black",shape="box"];63 -> 76[label="",style="solid", color="black", weight=3]; 64[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing Nothing (Nothing == Nothing) == LT)",fontsize=16,color="black",shape="box"];64 -> 77[label="",style="solid", color="black", weight=3]; 65[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing (Just ywz400) (Nothing == Just ywz400) == LT)",fontsize=16,color="black",shape="box"];65 -> 78[label="",style="solid", color="black", weight=3]; 66[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) Nothing (Just ywz500 == Nothing) == LT)",fontsize=16,color="black",shape="box"];66 -> 79[label="",style="solid", color="black", weight=3]; 67[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) (Just ywz400) (Just ywz500 == Just ywz400) == LT)",fontsize=16,color="black",shape="box"];67 -> 80[label="",style="solid", color="black", weight=3]; 69[label="FiniteMap.emptyFM",fontsize=16,color="black",shape="triangle"];69 -> 82[label="",style="solid", color="black", weight=3]; 70 -> 69[label="",style="dashed", color="red", weight=0]; 70[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];3245[label="ywz60",fontsize=16,color="green",shape="box"];357[label="ywz50 < ywz40",fontsize=16,color="black",shape="triangle"];357 -> 365[label="",style="solid", color="black", weight=3]; 3246[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 False",fontsize=16,color="black",shape="box"];3246 -> 3271[label="",style="solid", color="black", weight=3]; 3247[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 True",fontsize=16,color="black",shape="box"];3247 -> 3272[label="",style="solid", color="black", weight=3]; 2815 -> 2809[label="",style="dashed", color="red", weight=0]; 2815[label="FiniteMap.sizeFM (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744)",fontsize=16,color="magenta"];2815 -> 2969[label="",style="dashed", color="magenta", weight=3]; 2815 -> 2970[label="",style="dashed", color="magenta", weight=3]; 2815 -> 2971[label="",style="dashed", color="magenta", weight=3]; 2815 -> 2972[label="",style="dashed", color="magenta", weight=3]; 2815 -> 2973[label="",style="dashed", color="magenta", weight=3]; 1607[label="primMulInt (Pos ywz50010) ywz4000",fontsize=16,color="burlywood",shape="box"];4682[label="ywz4000/Pos ywz40000",fontsize=10,color="white",style="solid",shape="box"];1607 -> 4682[label="",style="solid", color="burlywood", weight=9]; 4682 -> 1779[label="",style="solid", color="burlywood", weight=3]; 4683[label="ywz4000/Neg ywz40000",fontsize=10,color="white",style="solid",shape="box"];1607 -> 4683[label="",style="solid", color="burlywood", weight=9]; 4683 -> 1780[label="",style="solid", color="burlywood", weight=3]; 1608[label="primMulInt (Neg ywz50010) ywz4000",fontsize=16,color="burlywood",shape="box"];4684[label="ywz4000/Pos ywz40000",fontsize=10,color="white",style="solid",shape="box"];1608 -> 4684[label="",style="solid", color="burlywood", weight=9]; 4684 -> 1781[label="",style="solid", color="burlywood", weight=3]; 4685[label="ywz4000/Neg ywz40000",fontsize=10,color="white",style="solid",shape="box"];1608 -> 4685[label="",style="solid", color="burlywood", weight=9]; 4685 -> 1782[label="",style="solid", color="burlywood", weight=3]; 2988[label="ywz208",fontsize=16,color="green",shape="box"];2989[label="ywz209",fontsize=16,color="green",shape="box"];2084[label="compare ywz500 ywz400",fontsize=16,color="black",shape="triangle"];2084 -> 2477[label="",style="solid", color="black", weight=3]; 163[label="LT == ywz400",fontsize=16,color="burlywood",shape="box"];4686[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];163 -> 4686[label="",style="solid", color="burlywood", weight=9]; 4686 -> 233[label="",style="solid", color="burlywood", weight=3]; 4687[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];163 -> 4687[label="",style="solid", color="burlywood", weight=9]; 4687 -> 234[label="",style="solid", color="burlywood", weight=3]; 4688[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];163 -> 4688[label="",style="solid", color="burlywood", weight=9]; 4688 -> 235[label="",style="solid", color="burlywood", weight=3]; 164[label="EQ == ywz400",fontsize=16,color="burlywood",shape="box"];4689[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];164 -> 4689[label="",style="solid", color="burlywood", weight=9]; 4689 -> 236[label="",style="solid", color="burlywood", weight=3]; 4690[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];164 -> 4690[label="",style="solid", color="burlywood", weight=9]; 4690 -> 237[label="",style="solid", color="burlywood", weight=3]; 4691[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];164 -> 4691[label="",style="solid", color="burlywood", weight=9]; 4691 -> 238[label="",style="solid", color="burlywood", weight=3]; 165[label="GT == ywz400",fontsize=16,color="burlywood",shape="box"];4692[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];165 -> 4692[label="",style="solid", color="burlywood", weight=9]; 4692 -> 239[label="",style="solid", color="burlywood", weight=3]; 4693[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];165 -> 4693[label="",style="solid", color="burlywood", weight=9]; 4693 -> 240[label="",style="solid", color="burlywood", weight=3]; 4694[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];165 -> 4694[label="",style="solid", color="burlywood", weight=9]; 4694 -> 241[label="",style="solid", color="burlywood", weight=3]; 4001[label="ywz40",fontsize=16,color="green",shape="box"];4002[label="ywz42",fontsize=16,color="green",shape="box"];4003[label="ywz44",fontsize=16,color="green",shape="box"];4004[label="ywz3",fontsize=16,color="green",shape="box"];4005[label="ywz43",fontsize=16,color="green",shape="box"];4006[label="ywz41",fontsize=16,color="green",shape="box"];4007[label="ywz44",fontsize=16,color="green",shape="box"];4008[label="ywz41",fontsize=16,color="green",shape="box"];4009[label="ywz40",fontsize=16,color="green",shape="box"];4010[label="ywz42",fontsize=16,color="green",shape="box"];4011[label="ywz50",fontsize=16,color="green",shape="box"];4012[label="ywz51",fontsize=16,color="green",shape="box"];4013[label="ywz43",fontsize=16,color="green",shape="box"];4000[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz304 ywz305 ywz306 ywz307 ywz308) ywz309 ywz310 ywz311 ywz310 ywz311 (FiniteMap.lookupFM3 (FiniteMap.Branch ywz312 ywz313 ywz314 ywz315 ywz316) ywz309)",fontsize=16,color="black",shape="triangle"];4000 -> 4144[label="",style="solid", color="black", weight=3]; 2798 -> 1120[label="",style="dashed", color="red", weight=0]; 2798[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];2798 -> 2816[label="",style="dashed", color="magenta", weight=3]; 2798 -> 2817[label="",style="dashed", color="magenta", weight=3]; 2813[label="FiniteMap.mkVBalBranch3MkVBalBranch1 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 False",fontsize=16,color="black",shape="box"];2813 -> 2967[label="",style="solid", color="black", weight=3]; 2814[label="FiniteMap.mkVBalBranch3MkVBalBranch1 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 True",fontsize=16,color="black",shape="box"];2814 -> 2968[label="",style="solid", color="black", weight=3]; 2780[label="FiniteMap.mkVBalBranch ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];2780 -> 2818[label="",style="solid", color="black", weight=3]; 2781[label="FiniteMap.mkVBalBranch ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) (FiniteMap.Branch ywz630 ywz631 ywz632 ywz633 ywz634)",fontsize=16,color="black",shape="box"];2781 -> 2819[label="",style="solid", color="black", weight=3]; 2266[label="FiniteMap.mkBalBranch6 ywz440 ywz441 ywz179 ywz444",fontsize=16,color="black",shape="box"];2266 -> 2310[label="",style="solid", color="black", weight=3]; 73[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing Nothing True == GT)",fontsize=16,color="black",shape="box"];73 -> 87[label="",style="solid", color="black", weight=3]; 74 -> 210[label="",style="dashed", color="red", weight=0]; 74[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing (Just ywz400) False == GT)",fontsize=16,color="magenta"];74 -> 211[label="",style="dashed", color="magenta", weight=3]; 75 -> 222[label="",style="dashed", color="red", weight=0]; 75[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) Nothing False == GT)",fontsize=16,color="magenta"];75 -> 223[label="",style="dashed", color="magenta", weight=3]; 76 -> 268[label="",style="dashed", color="red", weight=0]; 76[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400) == GT)",fontsize=16,color="magenta"];76 -> 269[label="",style="dashed", color="magenta", weight=3]; 76 -> 270[label="",style="dashed", color="magenta", weight=3]; 76 -> 271[label="",style="dashed", color="magenta", weight=3]; 76 -> 272[label="",style="dashed", color="magenta", weight=3]; 76 -> 273[label="",style="dashed", color="magenta", weight=3]; 76 -> 274[label="",style="dashed", color="magenta", weight=3]; 76 -> 275[label="",style="dashed", color="magenta", weight=3]; 77[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing Nothing True == LT)",fontsize=16,color="black",shape="box"];77 -> 98[label="",style="solid", color="black", weight=3]; 78 -> 181[label="",style="dashed", color="red", weight=0]; 78[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (compare2 Nothing (Just ywz400) False == LT)",fontsize=16,color="magenta"];78 -> 182[label="",style="dashed", color="magenta", weight=3]; 79 -> 189[label="",style="dashed", color="red", weight=0]; 79[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) Nothing False == LT)",fontsize=16,color="magenta"];79 -> 190[label="",style="dashed", color="magenta", weight=3]; 80 -> 297[label="",style="dashed", color="red", weight=0]; 80[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 (Just ywz500) (compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400) == LT)",fontsize=16,color="magenta"];80 -> 298[label="",style="dashed", color="magenta", weight=3]; 80 -> 299[label="",style="dashed", color="magenta", weight=3]; 80 -> 300[label="",style="dashed", color="magenta", weight=3]; 80 -> 301[label="",style="dashed", color="magenta", weight=3]; 80 -> 302[label="",style="dashed", color="magenta", weight=3]; 80 -> 303[label="",style="dashed", color="magenta", weight=3]; 80 -> 304[label="",style="dashed", color="magenta", weight=3]; 82[label="FiniteMap.EmptyFM",fontsize=16,color="green",shape="box"];365 -> 120[label="",style="dashed", color="red", weight=0]; 365[label="compare ywz50 ywz40 == LT",fontsize=16,color="magenta"];365 -> 466[label="",style="dashed", color="magenta", weight=3]; 365 -> 467[label="",style="dashed", color="magenta", weight=3]; 3271 -> 3295[label="",style="dashed", color="red", weight=0]; 3271[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 (ywz50 > ywz740)",fontsize=16,color="magenta"];3271 -> 3296[label="",style="dashed", color="magenta", weight=3]; 3272 -> 2227[label="",style="dashed", color="red", weight=0]; 3272[label="FiniteMap.mkBalBranch ywz740 ywz741 (FiniteMap.addToFM_C FiniteMap.addToFM0 ywz743 ywz50 ywz9) ywz744",fontsize=16,color="magenta"];3272 -> 3297[label="",style="dashed", color="magenta", weight=3]; 3272 -> 3298[label="",style="dashed", color="magenta", weight=3]; 3272 -> 3299[label="",style="dashed", color="magenta", weight=3]; 3272 -> 3300[label="",style="dashed", color="magenta", weight=3]; 2969[label="ywz742",fontsize=16,color="green",shape="box"];2970[label="ywz743",fontsize=16,color="green",shape="box"];2971[label="ywz740",fontsize=16,color="green",shape="box"];2972[label="ywz741",fontsize=16,color="green",shape="box"];2973[label="ywz744",fontsize=16,color="green",shape="box"];1779[label="primMulInt (Pos ywz50010) (Pos ywz40000)",fontsize=16,color="black",shape="box"];1779 -> 1935[label="",style="solid", color="black", weight=3]; 1780[label="primMulInt (Pos ywz50010) (Neg ywz40000)",fontsize=16,color="black",shape="box"];1780 -> 1936[label="",style="solid", color="black", weight=3]; 1781[label="primMulInt (Neg ywz50010) (Pos ywz40000)",fontsize=16,color="black",shape="box"];1781 -> 1937[label="",style="solid", color="black", weight=3]; 1782[label="primMulInt (Neg ywz50010) (Neg ywz40000)",fontsize=16,color="black",shape="box"];1782 -> 1938[label="",style="solid", color="black", weight=3]; 2477[label="primCmpInt ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4695[label="ywz500/Pos ywz5000",fontsize=10,color="white",style="solid",shape="box"];2477 -> 4695[label="",style="solid", color="burlywood", weight=9]; 4695 -> 2954[label="",style="solid", color="burlywood", weight=3]; 4696[label="ywz500/Neg ywz5000",fontsize=10,color="white",style="solid",shape="box"];2477 -> 4696[label="",style="solid", color="burlywood", weight=9]; 4696 -> 2955[label="",style="solid", color="burlywood", weight=3]; 233[label="LT == LT",fontsize=16,color="black",shape="box"];233 -> 383[label="",style="solid", color="black", weight=3]; 234[label="LT == EQ",fontsize=16,color="black",shape="box"];234 -> 384[label="",style="solid", color="black", weight=3]; 235[label="LT == GT",fontsize=16,color="black",shape="box"];235 -> 385[label="",style="solid", color="black", weight=3]; 236[label="EQ == LT",fontsize=16,color="black",shape="box"];236 -> 386[label="",style="solid", color="black", weight=3]; 237[label="EQ == EQ",fontsize=16,color="black",shape="box"];237 -> 387[label="",style="solid", color="black", weight=3]; 238[label="EQ == GT",fontsize=16,color="black",shape="box"];238 -> 388[label="",style="solid", color="black", weight=3]; 239[label="GT == LT",fontsize=16,color="black",shape="box"];239 -> 389[label="",style="solid", color="black", weight=3]; 240[label="GT == EQ",fontsize=16,color="black",shape="box"];240 -> 390[label="",style="solid", color="black", weight=3]; 241[label="GT == GT",fontsize=16,color="black",shape="box"];241 -> 391[label="",style="solid", color="black", weight=3]; 4144 -> 4210[label="",style="dashed", color="red", weight=0]; 4144[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz304 ywz305 ywz306 ywz307 ywz308) ywz309 ywz310 ywz311 ywz310 ywz311 (FiniteMap.lookupFM2 ywz312 ywz313 ywz314 ywz315 ywz316 ywz309 (ywz309 < ywz312))",fontsize=16,color="magenta"];4144 -> 4211[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4212[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4213[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4214[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4215[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4216[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4217[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4218[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4219[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4220[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4221[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4222[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4223[label="",style="dashed", color="magenta", weight=3]; 4144 -> 4224[label="",style="dashed", color="magenta", weight=3]; 2816 -> 2793[label="",style="dashed", color="red", weight=0]; 2816[label="FiniteMap.mkVBalBranch3Size_r ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];2816 -> 2974[label="",style="dashed", color="magenta", weight=3]; 2816 -> 2975[label="",style="dashed", color="magenta", weight=3]; 2816 -> 2976[label="",style="dashed", color="magenta", weight=3]; 2816 -> 2977[label="",style="dashed", color="magenta", weight=3]; 2816 -> 2978[label="",style="dashed", color="magenta", weight=3]; 2817 -> 2811[label="",style="dashed", color="red", weight=0]; 2817[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];2967[label="FiniteMap.mkVBalBranch3MkVBalBranch0 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 otherwise",fontsize=16,color="black",shape="box"];2967 -> 2990[label="",style="solid", color="black", weight=3]; 2968 -> 2227[label="",style="dashed", color="red", weight=0]; 2968[label="FiniteMap.mkBalBranch ywz740 ywz741 ywz743 (FiniteMap.mkVBalBranch ywz50 ywz9 ywz744 (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64))",fontsize=16,color="magenta"];2968 -> 2991[label="",style="dashed", color="magenta", weight=3]; 2968 -> 2992[label="",style="dashed", color="magenta", weight=3]; 2968 -> 2993[label="",style="dashed", color="magenta", weight=3]; 2968 -> 2994[label="",style="dashed", color="magenta", weight=3]; 2818[label="FiniteMap.mkVBalBranch4 ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];2818 -> 2979[label="",style="solid", color="black", weight=3]; 2819[label="FiniteMap.mkVBalBranch3 ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) (FiniteMap.Branch ywz630 ywz631 ywz632 ywz633 ywz634)",fontsize=16,color="black",shape="triangle"];2819 -> 2980[label="",style="solid", color="black", weight=3]; 2310 -> 2493[label="",style="dashed", color="red", weight=0]; 2310[label="FiniteMap.mkBalBranch6MkBalBranch5 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 (FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179 + FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179 < Pos (Succ (Succ Zero)))",fontsize=16,color="magenta"];2310 -> 2494[label="",style="dashed", color="magenta", weight=3]; 87[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (EQ == GT)",fontsize=16,color="black",shape="box"];87 -> 112[label="",style="solid", color="black", weight=3]; 211 -> 120[label="",style="dashed", color="red", weight=0]; 211[label="compare2 Nothing (Just ywz400) False == GT",fontsize=16,color="magenta"];211 -> 215[label="",style="dashed", color="magenta", weight=3]; 211 -> 216[label="",style="dashed", color="magenta", weight=3]; 210[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing ywz42",fontsize=16,color="burlywood",shape="triangle"];4697[label="ywz42/False",fontsize=10,color="white",style="solid",shape="box"];210 -> 4697[label="",style="solid", color="burlywood", weight=9]; 4697 -> 217[label="",style="solid", color="burlywood", weight=3]; 4698[label="ywz42/True",fontsize=10,color="white",style="solid",shape="box"];210 -> 4698[label="",style="solid", color="burlywood", weight=9]; 4698 -> 218[label="",style="solid", color="burlywood", weight=3]; 223 -> 120[label="",style="dashed", color="red", weight=0]; 223[label="compare2 (Just ywz500) Nothing False == GT",fontsize=16,color="magenta"];223 -> 227[label="",style="dashed", color="magenta", weight=3]; 223 -> 228[label="",style="dashed", color="magenta", weight=3]; 222[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) ywz43",fontsize=16,color="burlywood",shape="triangle"];4699[label="ywz43/False",fontsize=10,color="white",style="solid",shape="box"];222 -> 4699[label="",style="solid", color="burlywood", weight=9]; 4699 -> 229[label="",style="solid", color="burlywood", weight=3]; 4700[label="ywz43/True",fontsize=10,color="white",style="solid",shape="box"];222 -> 4700[label="",style="solid", color="burlywood", weight=9]; 4700 -> 230[label="",style="solid", color="burlywood", weight=3]; 269[label="ywz42",fontsize=16,color="green",shape="box"];270[label="ywz44",fontsize=16,color="green",shape="box"];271 -> 120[label="",style="dashed", color="red", weight=0]; 271[label="compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400) == GT",fontsize=16,color="magenta"];271 -> 279[label="",style="dashed", color="magenta", weight=3]; 271 -> 280[label="",style="dashed", color="magenta", weight=3]; 272[label="ywz500",fontsize=16,color="green",shape="box"];273[label="ywz400",fontsize=16,color="green",shape="box"];274[label="ywz41",fontsize=16,color="green",shape="box"];275[label="ywz43",fontsize=16,color="green",shape="box"];268[label="FiniteMap.splitGT2 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) ywz44",fontsize=16,color="burlywood",shape="triangle"];4701[label="ywz44/False",fontsize=10,color="white",style="solid",shape="box"];268 -> 4701[label="",style="solid", color="burlywood", weight=9]; 4701 -> 281[label="",style="solid", color="burlywood", weight=3]; 4702[label="ywz44/True",fontsize=10,color="white",style="solid",shape="box"];268 -> 4702[label="",style="solid", color="burlywood", weight=9]; 4702 -> 282[label="",style="solid", color="burlywood", weight=3]; 98[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (EQ == LT)",fontsize=16,color="black",shape="box"];98 -> 131[label="",style="solid", color="black", weight=3]; 182 -> 120[label="",style="dashed", color="red", weight=0]; 182[label="compare2 Nothing (Just ywz400) False == LT",fontsize=16,color="magenta"];182 -> 185[label="",style="dashed", color="magenta", weight=3]; 182 -> 186[label="",style="dashed", color="magenta", weight=3]; 181[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing ywz40",fontsize=16,color="burlywood",shape="triangle"];4703[label="ywz40/False",fontsize=10,color="white",style="solid",shape="box"];181 -> 4703[label="",style="solid", color="burlywood", weight=9]; 4703 -> 187[label="",style="solid", color="burlywood", weight=3]; 4704[label="ywz40/True",fontsize=10,color="white",style="solid",shape="box"];181 -> 4704[label="",style="solid", color="burlywood", weight=9]; 4704 -> 188[label="",style="solid", color="burlywood", weight=3]; 190 -> 120[label="",style="dashed", color="red", weight=0]; 190[label="compare2 (Just ywz500) Nothing False == LT",fontsize=16,color="magenta"];190 -> 193[label="",style="dashed", color="magenta", weight=3]; 190 -> 194[label="",style="dashed", color="magenta", weight=3]; 189[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) ywz41",fontsize=16,color="burlywood",shape="triangle"];4705[label="ywz41/False",fontsize=10,color="white",style="solid",shape="box"];189 -> 4705[label="",style="solid", color="burlywood", weight=9]; 4705 -> 195[label="",style="solid", color="burlywood", weight=3]; 4706[label="ywz41/True",fontsize=10,color="white",style="solid",shape="box"];189 -> 4706[label="",style="solid", color="burlywood", weight=9]; 4706 -> 196[label="",style="solid", color="burlywood", weight=3]; 298[label="ywz44",fontsize=16,color="green",shape="box"];299[label="ywz400",fontsize=16,color="green",shape="box"];300[label="ywz500",fontsize=16,color="green",shape="box"];301 -> 120[label="",style="dashed", color="red", weight=0]; 301[label="compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400) == LT",fontsize=16,color="magenta"];301 -> 308[label="",style="dashed", color="magenta", weight=3]; 301 -> 309[label="",style="dashed", color="magenta", weight=3]; 302[label="ywz42",fontsize=16,color="green",shape="box"];303[label="ywz43",fontsize=16,color="green",shape="box"];304[label="ywz41",fontsize=16,color="green",shape="box"];297[label="FiniteMap.splitLT2 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) ywz45",fontsize=16,color="burlywood",shape="triangle"];4707[label="ywz45/False",fontsize=10,color="white",style="solid",shape="box"];297 -> 4707[label="",style="solid", color="burlywood", weight=9]; 4707 -> 310[label="",style="solid", color="burlywood", weight=3]; 4708[label="ywz45/True",fontsize=10,color="white",style="solid",shape="box"];297 -> 4708[label="",style="solid", color="burlywood", weight=9]; 4708 -> 311[label="",style="solid", color="burlywood", weight=3]; 466[label="LT",fontsize=16,color="green",shape="box"];467[label="compare ywz50 ywz40",fontsize=16,color="black",shape="triangle"];467 -> 566[label="",style="solid", color="black", weight=3]; 3296 -> 670[label="",style="dashed", color="red", weight=0]; 3296[label="ywz50 > ywz740",fontsize=16,color="magenta"];3296 -> 3301[label="",style="dashed", color="magenta", weight=3]; 3295[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz238",fontsize=16,color="burlywood",shape="triangle"];4709[label="ywz238/False",fontsize=10,color="white",style="solid",shape="box"];3295 -> 4709[label="",style="solid", color="burlywood", weight=9]; 4709 -> 3302[label="",style="solid", color="burlywood", weight=3]; 4710[label="ywz238/True",fontsize=10,color="white",style="solid",shape="box"];3295 -> 4710[label="",style="solid", color="burlywood", weight=9]; 4710 -> 3303[label="",style="solid", color="burlywood", weight=3]; 3297[label="ywz741",fontsize=16,color="green",shape="box"];3298[label="ywz744",fontsize=16,color="green",shape="box"];3299[label="FiniteMap.addToFM_C FiniteMap.addToFM0 ywz743 ywz50 ywz9",fontsize=16,color="burlywood",shape="triangle"];4711[label="ywz743/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];3299 -> 4711[label="",style="solid", color="burlywood", weight=9]; 4711 -> 3323[label="",style="solid", color="burlywood", weight=3]; 4712[label="ywz743/FiniteMap.Branch ywz7430 ywz7431 ywz7432 ywz7433 ywz7434",fontsize=10,color="white",style="solid",shape="box"];3299 -> 4712[label="",style="solid", color="burlywood", weight=9]; 4712 -> 3324[label="",style="solid", color="burlywood", weight=3]; 3300[label="ywz740",fontsize=16,color="green",shape="box"];1935[label="Pos (primMulNat ywz50010 ywz40000)",fontsize=16,color="green",shape="box"];1935 -> 2098[label="",style="dashed", color="green", weight=3]; 1936[label="Neg (primMulNat ywz50010 ywz40000)",fontsize=16,color="green",shape="box"];1936 -> 2099[label="",style="dashed", color="green", weight=3]; 1937[label="Neg (primMulNat ywz50010 ywz40000)",fontsize=16,color="green",shape="box"];1937 -> 2100[label="",style="dashed", color="green", weight=3]; 1938[label="Pos (primMulNat ywz50010 ywz40000)",fontsize=16,color="green",shape="box"];1938 -> 2101[label="",style="dashed", color="green", weight=3]; 2954[label="primCmpInt (Pos ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4713[label="ywz5000/Succ ywz50000",fontsize=10,color="white",style="solid",shape="box"];2954 -> 4713[label="",style="solid", color="burlywood", weight=9]; 4713 -> 3006[label="",style="solid", color="burlywood", weight=3]; 4714[label="ywz5000/Zero",fontsize=10,color="white",style="solid",shape="box"];2954 -> 4714[label="",style="solid", color="burlywood", weight=9]; 4714 -> 3007[label="",style="solid", color="burlywood", weight=3]; 2955[label="primCmpInt (Neg ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4715[label="ywz5000/Succ ywz50000",fontsize=10,color="white",style="solid",shape="box"];2955 -> 4715[label="",style="solid", color="burlywood", weight=9]; 4715 -> 3008[label="",style="solid", color="burlywood", weight=3]; 4716[label="ywz5000/Zero",fontsize=10,color="white",style="solid",shape="box"];2955 -> 4716[label="",style="solid", color="burlywood", weight=9]; 4716 -> 3009[label="",style="solid", color="burlywood", weight=3]; 383[label="True",fontsize=16,color="green",shape="box"];384[label="False",fontsize=16,color="green",shape="box"];385[label="False",fontsize=16,color="green",shape="box"];386[label="False",fontsize=16,color="green",shape="box"];387[label="True",fontsize=16,color="green",shape="box"];388[label="False",fontsize=16,color="green",shape="box"];389[label="False",fontsize=16,color="green",shape="box"];390[label="False",fontsize=16,color="green",shape="box"];391[label="True",fontsize=16,color="green",shape="box"];4211[label="ywz305",fontsize=16,color="green",shape="box"];4212[label="ywz304",fontsize=16,color="green",shape="box"];4213[label="ywz316",fontsize=16,color="green",shape="box"];4214[label="ywz309",fontsize=16,color="green",shape="box"];4215[label="ywz309 < ywz312",fontsize=16,color="blue",shape="box"];4717[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4717[label="",style="solid", color="blue", weight=9]; 4717 -> 4225[label="",style="solid", color="blue", weight=3]; 4718[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4718[label="",style="solid", color="blue", weight=9]; 4718 -> 4226[label="",style="solid", color="blue", weight=3]; 4719[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4719[label="",style="solid", color="blue", weight=9]; 4719 -> 4227[label="",style="solid", color="blue", weight=3]; 4720[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4720[label="",style="solid", color="blue", weight=9]; 4720 -> 4228[label="",style="solid", color="blue", weight=3]; 4721[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4721[label="",style="solid", color="blue", weight=9]; 4721 -> 4229[label="",style="solid", color="blue", weight=3]; 4722[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4722[label="",style="solid", color="blue", weight=9]; 4722 -> 4230[label="",style="solid", color="blue", weight=3]; 4723[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4723[label="",style="solid", color="blue", weight=9]; 4723 -> 4231[label="",style="solid", color="blue", weight=3]; 4724[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4724[label="",style="solid", color="blue", weight=9]; 4724 -> 4232[label="",style="solid", color="blue", weight=3]; 4725[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4725[label="",style="solid", color="blue", weight=9]; 4725 -> 4233[label="",style="solid", color="blue", weight=3]; 4726[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4726[label="",style="solid", color="blue", weight=9]; 4726 -> 4234[label="",style="solid", color="blue", weight=3]; 4727[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4727[label="",style="solid", color="blue", weight=9]; 4727 -> 4235[label="",style="solid", color="blue", weight=3]; 4728[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4728[label="",style="solid", color="blue", weight=9]; 4728 -> 4236[label="",style="solid", color="blue", weight=3]; 4729[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4729[label="",style="solid", color="blue", weight=9]; 4729 -> 4237[label="",style="solid", color="blue", weight=3]; 4730[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4215 -> 4730[label="",style="solid", color="blue", weight=9]; 4730 -> 4238[label="",style="solid", color="blue", weight=3]; 4216[label="ywz307",fontsize=16,color="green",shape="box"];4217[label="ywz315",fontsize=16,color="green",shape="box"];4218[label="ywz306",fontsize=16,color="green",shape="box"];4219[label="ywz308",fontsize=16,color="green",shape="box"];4220[label="ywz313",fontsize=16,color="green",shape="box"];4221[label="ywz310",fontsize=16,color="green",shape="box"];4222[label="ywz312",fontsize=16,color="green",shape="box"];4223[label="ywz314",fontsize=16,color="green",shape="box"];4224[label="ywz311",fontsize=16,color="green",shape="box"];4210[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM2 ywz340 ywz341 ywz342 ywz343 ywz344 ywz337 ywz345)",fontsize=16,color="burlywood",shape="triangle"];4731[label="ywz345/False",fontsize=10,color="white",style="solid",shape="box"];4210 -> 4731[label="",style="solid", color="burlywood", weight=9]; 4731 -> 4239[label="",style="solid", color="burlywood", weight=3]; 4732[label="ywz345/True",fontsize=10,color="white",style="solid",shape="box"];4210 -> 4732[label="",style="solid", color="burlywood", weight=9]; 4732 -> 4240[label="",style="solid", color="burlywood", weight=3]; 2974[label="ywz742",fontsize=16,color="green",shape="box"];2975[label="ywz743",fontsize=16,color="green",shape="box"];2976[label="ywz740",fontsize=16,color="green",shape="box"];2977[label="ywz741",fontsize=16,color="green",shape="box"];2978[label="ywz744",fontsize=16,color="green",shape="box"];2990[label="FiniteMap.mkVBalBranch3MkVBalBranch0 ywz60 ywz61 ywz62 ywz63 ywz64 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 ywz740 ywz741 ywz742 ywz743 ywz744 ywz60 ywz61 ywz62 ywz63 ywz64 True",fontsize=16,color="black",shape="box"];2990 -> 3010[label="",style="solid", color="black", weight=3]; 2991[label="ywz741",fontsize=16,color="green",shape="box"];2992[label="FiniteMap.mkVBalBranch ywz50 ywz9 ywz744 (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 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Zero))",fontsize=16,color="magenta"];2494 -> 2799[label="",style="dashed", color="magenta", weight=3]; 2494 -> 2800[label="",style="dashed", color="magenta", weight=3]; 2493[label="FiniteMap.mkBalBranch6MkBalBranch5 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 ywz192",fontsize=16,color="burlywood",shape="triangle"];4735[label="ywz192/False",fontsize=10,color="white",style="solid",shape="box"];2493 -> 4735[label="",style="solid", color="burlywood", weight=9]; 4735 -> 2497[label="",style="solid", color="burlywood", weight=3]; 4736[label="ywz192/True",fontsize=10,color="white",style="solid",shape="box"];2493 -> 4736[label="",style="solid", color="burlywood", weight=9]; 4736 -> 2498[label="",style="solid", color="burlywood", weight=3]; 112[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];112 -> 155[label="",style="solid", color="black", weight=3]; 215[label="GT",fontsize=16,color="green",shape="box"];216 -> 812[label="",style="dashed", color="red", weight=0]; 216[label="compare2 Nothing (Just ywz400) False",fontsize=16,color="magenta"];216 -> 813[label="",style="dashed", color="magenta", weight=3]; 216 -> 814[label="",style="dashed", color="magenta", weight=3]; 216 -> 815[label="",style="dashed", color="magenta", weight=3]; 217[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];217 -> 231[label="",style="solid", color="black", weight=3]; 218[label="FiniteMap.splitGT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];218 -> 232[label="",style="solid", color="black", weight=3]; 227[label="GT",fontsize=16,color="green",shape="box"];228 -> 812[label="",style="dashed", color="red", weight=0]; 228[label="compare2 (Just ywz500) Nothing False",fontsize=16,color="magenta"];228 -> 816[label="",style="dashed", color="magenta", weight=3]; 228 -> 817[label="",style="dashed", color="magenta", weight=3]; 228 -> 818[label="",style="dashed", color="magenta", weight=3]; 229[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) False",fontsize=16,color="black",shape="box"];229 -> 283[label="",style="solid", color="black", weight=3]; 230[label="FiniteMap.splitGT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];230 -> 284[label="",style="solid", color="black", weight=3]; 279[label="GT",fontsize=16,color="green",shape="box"];280 -> 812[label="",style="dashed", color="red", weight=0]; 280[label="compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400)",fontsize=16,color="magenta"];280 -> 819[label="",style="dashed", color="magenta", weight=3]; 280 -> 820[label="",style="dashed", color="magenta", weight=3]; 280 -> 821[label="",style="dashed", color="magenta", weight=3]; 281[label="FiniteMap.splitGT2 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) False",fontsize=16,color="black",shape="box"];281 -> 319[label="",style="solid", color="black", weight=3]; 282[label="FiniteMap.splitGT2 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) True",fontsize=16,color="black",shape="box"];282 -> 320[label="",style="solid", color="black", weight=3]; 131[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];131 -> 180[label="",style="solid", color="black", weight=3]; 185[label="LT",fontsize=16,color="green",shape="box"];186 -> 812[label="",style="dashed", color="red", weight=0]; 186[label="compare2 Nothing (Just ywz400) False",fontsize=16,color="magenta"];186 -> 822[label="",style="dashed", color="magenta", weight=3]; 186 -> 823[label="",style="dashed", color="magenta", weight=3]; 186 -> 824[label="",style="dashed", color="magenta", weight=3]; 187[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];187 -> 198[label="",style="solid", color="black", weight=3]; 188[label="FiniteMap.splitLT2 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];188 -> 199[label="",style="solid", color="black", weight=3]; 193[label="LT",fontsize=16,color="green",shape="box"];194 -> 812[label="",style="dashed", color="red", weight=0]; 194[label="compare2 (Just ywz500) Nothing False",fontsize=16,color="magenta"];194 -> 825[label="",style="dashed", color="magenta", weight=3]; 194 -> 826[label="",style="dashed", color="magenta", weight=3]; 194 -> 827[label="",style="dashed", color="magenta", weight=3]; 195[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) False",fontsize=16,color="black",shape="box"];195 -> 220[label="",style="solid", color="black", weight=3]; 196[label="FiniteMap.splitLT2 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];196 -> 221[label="",style="solid", color="black", weight=3]; 308[label="LT",fontsize=16,color="green",shape="box"];309 -> 812[label="",style="dashed", color="red", weight=0]; 309[label="compare2 (Just ywz500) (Just ywz400) (ywz500 == ywz400)",fontsize=16,color="magenta"];309 -> 828[label="",style="dashed", color="magenta", weight=3]; 309 -> 829[label="",style="dashed", color="magenta", weight=3]; 309 -> 830[label="",style="dashed", color="magenta", weight=3]; 310[label="FiniteMap.splitLT2 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) False",fontsize=16,color="black",shape="box"];310 -> 321[label="",style="solid", color="black", weight=3]; 311[label="FiniteMap.splitLT2 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) True",fontsize=16,color="black",shape="box"];311 -> 322[label="",style="solid", color="black", weight=3]; 566[label="compare3 ywz50 ywz40",fontsize=16,color="black",shape="box"];566 -> 668[label="",style="solid", color="black", weight=3]; 3301[label="ywz740",fontsize=16,color="green",shape="box"];670[label="ywz50 > ywz40",fontsize=16,color="black",shape="triangle"];670 -> 672[label="",style="solid", color="black", weight=3]; 3302[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 False",fontsize=16,color="black",shape="box"];3302 -> 3325[label="",style="solid", color="black", weight=3]; 3303[label="FiniteMap.addToFM_C1 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 True",fontsize=16,color="black",shape="box"];3303 -> 3326[label="",style="solid", color="black", weight=3]; 3323[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM ywz50 ywz9",fontsize=16,color="black",shape="box"];3323 -> 3337[label="",style="solid", color="black", weight=3]; 3324[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch ywz7430 ywz7431 ywz7432 ywz7433 ywz7434) ywz50 ywz9",fontsize=16,color="black",shape="box"];3324 -> 3338[label="",style="solid", color="black", weight=3]; 2098[label="primMulNat ywz50010 ywz40000",fontsize=16,color="burlywood",shape="triangle"];4737[label="ywz50010/Succ ywz500100",fontsize=10,color="white",style="solid",shape="box"];2098 -> 4737[label="",style="solid", color="burlywood", weight=9]; 4737 -> 2716[label="",style="solid", color="burlywood", weight=3]; 4738[label="ywz50010/Zero",fontsize=10,color="white",style="solid",shape="box"];2098 -> 4738[label="",style="solid", color="burlywood", weight=9]; 4738 -> 2717[label="",style="solid", color="burlywood", weight=3]; 2099 -> 2098[label="",style="dashed", color="red", weight=0]; 2099[label="primMulNat ywz50010 ywz40000",fontsize=16,color="magenta"];2099 -> 2718[label="",style="dashed", color="magenta", weight=3]; 2100 -> 2098[label="",style="dashed", color="red", weight=0]; 2100[label="primMulNat ywz50010 ywz40000",fontsize=16,color="magenta"];2100 -> 2719[label="",style="dashed", color="magenta", weight=3]; 2101 -> 2098[label="",style="dashed", color="red", weight=0]; 2101[label="primMulNat ywz50010 ywz40000",fontsize=16,color="magenta"];2101 -> 2720[label="",style="dashed", color="magenta", weight=3]; 2101 -> 2721[label="",style="dashed", color="magenta", weight=3]; 3006[label="primCmpInt (Pos (Succ ywz50000)) ywz400",fontsize=16,color="burlywood",shape="box"];4739[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];3006 -> 4739[label="",style="solid", color="burlywood", weight=9]; 4739 -> 3054[label="",style="solid", color="burlywood", weight=3]; 4740[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];3006 -> 4740[label="",style="solid", color="burlywood", weight=9]; 4740 -> 3055[label="",style="solid", color="burlywood", weight=3]; 3007[label="primCmpInt (Pos Zero) ywz400",fontsize=16,color="burlywood",shape="box"];4741[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];3007 -> 4741[label="",style="solid", color="burlywood", weight=9]; 4741 -> 3056[label="",style="solid", color="burlywood", weight=3]; 4742[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];3007 -> 4742[label="",style="solid", color="burlywood", weight=9]; 4742 -> 3057[label="",style="solid", color="burlywood", weight=3]; 3008[label="primCmpInt (Neg (Succ ywz50000)) ywz400",fontsize=16,color="burlywood",shape="box"];4743[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];3008 -> 4743[label="",style="solid", color="burlywood", weight=9]; 4743 -> 3058[label="",style="solid", color="burlywood", weight=3]; 4744[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];3008 -> 4744[label="",style="solid", color="burlywood", weight=9]; 4744 -> 3059[label="",style="solid", color="burlywood", weight=3]; 3009[label="primCmpInt (Neg Zero) ywz400",fontsize=16,color="burlywood",shape="box"];4745[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];3009 -> 4745[label="",style="solid", color="burlywood", weight=9]; 4745 -> 3060[label="",style="solid", color="burlywood", weight=3]; 4746[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];3009 -> 4746[label="",style="solid", color="burlywood", weight=9]; 4746 -> 3061[label="",style="solid", color="burlywood", weight=3]; 4225 -> 2359[label="",style="dashed", color="red", weight=0]; 4225[label="ywz309 < ywz312",fontsize=16,color="magenta"];4225 -> 4307[label="",style="dashed", color="magenta", weight=3]; 4225 -> 4308[label="",style="dashed", color="magenta", weight=3]; 4226 -> 2792[label="",style="dashed", color="red", weight=0]; 4226[label="ywz309 < ywz312",fontsize=16,color="magenta"];4226 -> 4309[label="",style="dashed", color="magenta", weight=3]; 4226 -> 4310[label="",style="dashed", color="magenta", weight=3]; 4227 -> 2367[label="",style="dashed", color="red", weight=0]; 4227[label="ywz309 < ywz312",fontsize=16,color="magenta"];4227 -> 4311[label="",style="dashed", color="magenta", weight=3]; 4227 -> 4312[label="",style="dashed", color="magenta", weight=3]; 4228 -> 2357[label="",style="dashed", color="red", weight=0]; 4228[label="ywz309 < ywz312",fontsize=16,color="magenta"];4228 -> 4313[label="",style="dashed", color="magenta", weight=3]; 4228 -> 4314[label="",style="dashed", color="magenta", weight=3]; 4229 -> 2364[label="",style="dashed", color="red", weight=0]; 4229[label="ywz309 < ywz312",fontsize=16,color="magenta"];4229 -> 4315[label="",style="dashed", color="magenta", weight=3]; 4229 -> 4316[label="",style="dashed", color="magenta", weight=3]; 4230 -> 2365[label="",style="dashed", color="red", weight=0]; 4230[label="ywz309 < ywz312",fontsize=16,color="magenta"];4230 -> 4317[label="",style="dashed", color="magenta", weight=3]; 4230 -> 4318[label="",style="dashed", color="magenta", weight=3]; 4231 -> 2362[label="",style="dashed", color="red", weight=0]; 4231[label="ywz309 < ywz312",fontsize=16,color="magenta"];4231 -> 4319[label="",style="dashed", color="magenta", weight=3]; 4231 -> 4320[label="",style="dashed", color="magenta", weight=3]; 4232 -> 2360[label="",style="dashed", color="red", weight=0]; 4232[label="ywz309 < ywz312",fontsize=16,color="magenta"];4232 -> 4321[label="",style="dashed", color="magenta", weight=3]; 4232 -> 4322[label="",style="dashed", color="magenta", weight=3]; 4233 -> 357[label="",style="dashed", color="red", weight=0]; 4233[label="ywz309 < ywz312",fontsize=16,color="magenta"];4233 -> 4323[label="",style="dashed", color="magenta", weight=3]; 4233 -> 4324[label="",style="dashed", color="magenta", weight=3]; 4234 -> 2366[label="",style="dashed", color="red", weight=0]; 4234[label="ywz309 < ywz312",fontsize=16,color="magenta"];4234 -> 4325[label="",style="dashed", color="magenta", weight=3]; 4234 -> 4326[label="",style="dashed", color="magenta", weight=3]; 4235 -> 2361[label="",style="dashed", color="red", weight=0]; 4235[label="ywz309 < ywz312",fontsize=16,color="magenta"];4235 -> 4327[label="",style="dashed", color="magenta", weight=3]; 4235 -> 4328[label="",style="dashed", color="magenta", weight=3]; 4236 -> 2358[label="",style="dashed", color="red", weight=0]; 4236[label="ywz309 < ywz312",fontsize=16,color="magenta"];4236 -> 4329[label="",style="dashed", color="magenta", weight=3]; 4236 -> 4330[label="",style="dashed", color="magenta", weight=3]; 4237 -> 2368[label="",style="dashed", color="red", weight=0]; 4237[label="ywz309 < ywz312",fontsize=16,color="magenta"];4237 -> 4331[label="",style="dashed", color="magenta", weight=3]; 4237 -> 4332[label="",style="dashed", color="magenta", weight=3]; 4238 -> 2363[label="",style="dashed", color="red", weight=0]; 4238[label="ywz309 < ywz312",fontsize=16,color="magenta"];4238 -> 4333[label="",style="dashed", color="magenta", weight=3]; 4238 -> 4334[label="",style="dashed", color="magenta", weight=3]; 4239[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM2 ywz340 ywz341 ywz342 ywz343 ywz344 ywz337 False)",fontsize=16,color="black",shape="box"];4239 -> 4335[label="",style="solid", color="black", weight=3]; 4240[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM2 ywz340 ywz341 ywz342 ywz343 ywz344 ywz337 True)",fontsize=16,color="black",shape="box"];4240 -> 4336[label="",style="solid", color="black", weight=3]; 3010 -> 4241[label="",style="dashed", color="red", weight=0]; 3010[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))))) ywz50 ywz9 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="magenta"];3010 -> 4242[label="",style="dashed", color="magenta", weight=3]; 3010 -> 4243[label="",style="dashed", color="magenta", weight=3]; 3010 -> 4244[label="",style="dashed", color="magenta", weight=3]; 3010 -> 4245[label="",style="dashed", color="magenta", weight=3]; 3010 -> 4246[label="",style="dashed", color="magenta", weight=3]; 3011[label="FiniteMap.mkVBalBranch ywz50 ywz9 FiniteMap.EmptyFM (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="black",shape="box"];3011 -> 3076[label="",style="solid", color="black", weight=3]; 3012[label="FiniteMap.mkVBalBranch ywz50 ywz9 (FiniteMap.Branch ywz7440 ywz7441 ywz7442 ywz7443 ywz7444) (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64)",fontsize=16,color="black",shape="box"];3012 -> 3077[label="",style="solid", color="black", weight=3]; 2995[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) ywz50 ywz9",fontsize=16,color="black",shape="box"];2995 -> 3013[label="",style="solid", color="black", weight=3]; 2996[label="ywz632",fontsize=16,color="green",shape="box"];2997[label="ywz633",fontsize=16,color="green",shape="box"];2998 -> 2792[label="",style="dashed", color="red", weight=0]; 2998[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz630 ywz631 ywz632 ywz633 ywz634 ywz740 ywz741 ywz742 ywz743 ywz744 < FiniteMap.mkVBalBranch3Size_r ywz630 ywz631 ywz632 ywz633 ywz634 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];2998 -> 3014[label="",style="dashed", color="magenta", weight=3]; 2998 -> 3015[label="",style="dashed", color="magenta", weight=3]; 2999[label="ywz634",fontsize=16,color="green",shape="box"];3000[label="ywz630",fontsize=16,color="green",shape="box"];3001[label="ywz631",fontsize=16,color="green",shape="box"];2799[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];2800[label="FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179 + FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179",fontsize=16,color="black",shape="box"];2800 -> 2820[label="",style="solid", color="black", weight=3]; 2497[label="FiniteMap.mkBalBranch6MkBalBranch5 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 False",fontsize=16,color="black",shape="box"];2497 -> 2709[label="",style="solid", color="black", weight=3]; 2498[label="FiniteMap.mkBalBranch6MkBalBranch5 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 True",fontsize=16,color="black",shape="box"];2498 -> 2710[label="",style="solid", color="black", weight=3]; 155 -> 376[label="",style="dashed", color="red", weight=0]; 155[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (Nothing < Nothing)",fontsize=16,color="magenta"];155 -> 377[label="",style="dashed", color="magenta", weight=3]; 813[label="Just ywz400",fontsize=16,color="green",shape="box"];814[label="False",fontsize=16,color="green",shape="box"];815[label="Nothing",fontsize=16,color="green",shape="box"];812[label="compare2 ywz50 ywz40 ywz90",fontsize=16,color="burlywood",shape="triangle"];4747[label="ywz90/False",fontsize=10,color="white",style="solid",shape="box"];812 -> 4747[label="",style="solid", color="burlywood", weight=9]; 4747 -> 847[label="",style="solid", color="burlywood", weight=3]; 4748[label="ywz90/True",fontsize=10,color="white",style="solid",shape="box"];812 -> 4748[label="",style="solid", color="burlywood", weight=9]; 4748 -> 848[label="",style="solid", color="burlywood", weight=3]; 231 -> 392[label="",style="dashed", color="red", weight=0]; 231[label="FiniteMap.splitGT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (Nothing < Just ywz400)",fontsize=16,color="magenta"];231 -> 393[label="",style="dashed", color="magenta", weight=3]; 232[label="FiniteMap.splitGT ywz44 Nothing",fontsize=16,color="burlywood",shape="triangle"];4749[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];232 -> 4749[label="",style="solid", color="burlywood", weight=9]; 4749 -> 286[label="",style="solid", color="burlywood", weight=3]; 4750[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];232 -> 4750[label="",style="solid", color="burlywood", weight=9]; 4750 -> 287[label="",style="solid", color="burlywood", weight=3]; 816[label="Nothing",fontsize=16,color="green",shape="box"];817[label="False",fontsize=16,color="green",shape="box"];818[label="Just ywz500",fontsize=16,color="green",shape="box"];283 -> 401[label="",style="dashed", color="red", weight=0]; 283[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (Just ywz500 < Nothing)",fontsize=16,color="magenta"];283 -> 402[label="",style="dashed", color="magenta", weight=3]; 284[label="FiniteMap.splitGT ywz44 (Just ywz500)",fontsize=16,color="burlywood",shape="triangle"];4751[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];284 -> 4751[label="",style="solid", color="burlywood", weight=9]; 4751 -> 324[label="",style="solid", color="burlywood", weight=3]; 4752[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];284 -> 4752[label="",style="solid", color="burlywood", weight=9]; 4752 -> 325[label="",style="solid", color="burlywood", weight=3]; 819[label="Just ywz400",fontsize=16,color="green",shape="box"];820[label="ywz500 == ywz400",fontsize=16,color="blue",shape="box"];4753[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4753[label="",style="solid", color="blue", weight=9]; 4753 -> 849[label="",style="solid", color="blue", weight=3]; 4754[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4754[label="",style="solid", color="blue", weight=9]; 4754 -> 850[label="",style="solid", color="blue", weight=3]; 4755[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4755[label="",style="solid", color="blue", weight=9]; 4755 -> 851[label="",style="solid", color="blue", weight=3]; 4756[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4756[label="",style="solid", color="blue", weight=9]; 4756 -> 852[label="",style="solid", color="blue", weight=3]; 4757[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4757[label="",style="solid", color="blue", weight=9]; 4757 -> 853[label="",style="solid", color="blue", weight=3]; 4758[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4758[label="",style="solid", color="blue", weight=9]; 4758 -> 854[label="",style="solid", color="blue", weight=3]; 4759[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4759[label="",style="solid", color="blue", weight=9]; 4759 -> 855[label="",style="solid", color="blue", weight=3]; 4760[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4760[label="",style="solid", color="blue", weight=9]; 4760 -> 856[label="",style="solid", color="blue", weight=3]; 4761[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4761[label="",style="solid", color="blue", weight=9]; 4761 -> 857[label="",style="solid", color="blue", weight=3]; 4762[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4762[label="",style="solid", color="blue", weight=9]; 4762 -> 858[label="",style="solid", color="blue", weight=3]; 4763[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4763[label="",style="solid", color="blue", weight=9]; 4763 -> 859[label="",style="solid", color="blue", weight=3]; 4764[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4764[label="",style="solid", color="blue", weight=9]; 4764 -> 860[label="",style="solid", color="blue", weight=3]; 4765[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4765[label="",style="solid", color="blue", weight=9]; 4765 -> 861[label="",style="solid", color="blue", weight=3]; 4766[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];820 -> 4766[label="",style="solid", color="blue", weight=9]; 4766 -> 862[label="",style="solid", color="blue", weight=3]; 821[label="Just ywz500",fontsize=16,color="green",shape="box"];319 -> 429[label="",style="dashed", color="red", weight=0]; 319[label="FiniteMap.splitGT1 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) (Just ywz23 < Just ywz18)",fontsize=16,color="magenta"];319 -> 430[label="",style="dashed", color="magenta", weight=3]; 320 -> 284[label="",style="dashed", color="red", weight=0]; 320[label="FiniteMap.splitGT ywz22 (Just ywz23)",fontsize=16,color="magenta"];320 -> 360[label="",style="dashed", color="magenta", weight=3]; 320 -> 361[label="",style="dashed", color="magenta", weight=3]; 180 -> 436[label="",style="dashed", color="red", weight=0]; 180[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing (Nothing > Nothing)",fontsize=16,color="magenta"];180 -> 437[label="",style="dashed", color="magenta", weight=3]; 822[label="Just ywz400",fontsize=16,color="green",shape="box"];823[label="False",fontsize=16,color="green",shape="box"];824[label="Nothing",fontsize=16,color="green",shape="box"];198 -> 443[label="",style="dashed", color="red", weight=0]; 198[label="FiniteMap.splitLT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing (Nothing > Just ywz400)",fontsize=16,color="magenta"];198 -> 444[label="",style="dashed", color="magenta", weight=3]; 199[label="FiniteMap.splitLT ywz43 Nothing",fontsize=16,color="burlywood",shape="triangle"];4767[label="ywz43/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];199 -> 4767[label="",style="solid", color="burlywood", weight=9]; 4767 -> 291[label="",style="solid", color="burlywood", weight=3]; 4768[label="ywz43/FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434",fontsize=10,color="white",style="solid",shape="box"];199 -> 4768[label="",style="solid", color="burlywood", weight=9]; 4768 -> 292[label="",style="solid", color="burlywood", weight=3]; 825[label="Nothing",fontsize=16,color="green",shape="box"];826[label="False",fontsize=16,color="green",shape="box"];827[label="Just ywz500",fontsize=16,color="green",shape="box"];220 -> 452[label="",style="dashed", color="red", weight=0]; 220[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) (Just ywz500 > Nothing)",fontsize=16,color="magenta"];220 -> 453[label="",style="dashed", color="magenta", weight=3]; 221[label="FiniteMap.splitLT ywz43 (Just ywz500)",fontsize=16,color="burlywood",shape="triangle"];4769[label="ywz43/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];221 -> 4769[label="",style="solid", color="burlywood", weight=9]; 4769 -> 295[label="",style="solid", color="burlywood", weight=3]; 4770[label="ywz43/FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434",fontsize=10,color="white",style="solid",shape="box"];221 -> 4770[label="",style="solid", color="burlywood", weight=9]; 4770 -> 296[label="",style="solid", color="burlywood", weight=3]; 828[label="Just ywz400",fontsize=16,color="green",shape="box"];829[label="ywz500 == ywz400",fontsize=16,color="blue",shape="box"];4771[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4771[label="",style="solid", color="blue", weight=9]; 4771 -> 863[label="",style="solid", color="blue", weight=3]; 4772[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4772[label="",style="solid", color="blue", weight=9]; 4772 -> 864[label="",style="solid", color="blue", weight=3]; 4773[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4773[label="",style="solid", color="blue", weight=9]; 4773 -> 865[label="",style="solid", color="blue", weight=3]; 4774[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4774[label="",style="solid", color="blue", weight=9]; 4774 -> 866[label="",style="solid", color="blue", weight=3]; 4775[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4775[label="",style="solid", color="blue", weight=9]; 4775 -> 867[label="",style="solid", color="blue", weight=3]; 4776[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4776[label="",style="solid", color="blue", weight=9]; 4776 -> 868[label="",style="solid", color="blue", weight=3]; 4777[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4777[label="",style="solid", color="blue", weight=9]; 4777 -> 869[label="",style="solid", color="blue", weight=3]; 4778[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4778[label="",style="solid", color="blue", weight=9]; 4778 -> 870[label="",style="solid", color="blue", weight=3]; 4779[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4779[label="",style="solid", color="blue", weight=9]; 4779 -> 871[label="",style="solid", color="blue", weight=3]; 4780[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4780[label="",style="solid", color="blue", weight=9]; 4780 -> 872[label="",style="solid", color="blue", weight=3]; 4781[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4781[label="",style="solid", color="blue", weight=9]; 4781 -> 873[label="",style="solid", color="blue", weight=3]; 4782[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4782[label="",style="solid", color="blue", weight=9]; 4782 -> 874[label="",style="solid", color="blue", weight=3]; 4783[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4783[label="",style="solid", color="blue", weight=9]; 4783 -> 875[label="",style="solid", color="blue", weight=3]; 4784[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];829 -> 4784[label="",style="solid", color="blue", weight=9]; 4784 -> 876[label="",style="solid", color="blue", weight=3]; 830[label="Just ywz500",fontsize=16,color="green",shape="box"];321 -> 460[label="",style="dashed", color="red", weight=0]; 321[label="FiniteMap.splitLT1 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) (Just ywz38 > Just ywz33)",fontsize=16,color="magenta"];321 -> 461[label="",style="dashed", color="magenta", weight=3]; 322 -> 221[label="",style="dashed", color="red", weight=0]; 322[label="FiniteMap.splitLT ywz36 (Just ywz38)",fontsize=16,color="magenta"];322 -> 363[label="",style="dashed", color="magenta", weight=3]; 322 -> 364[label="",style="dashed", color="magenta", weight=3]; 668 -> 812[label="",style="dashed", color="red", weight=0]; 668[label="compare2 ywz50 ywz40 (ywz50 == ywz40)",fontsize=16,color="magenta"];668 -> 846[label="",style="dashed", color="magenta", weight=3]; 672 -> 120[label="",style="dashed", color="red", weight=0]; 672[label="compare ywz50 ywz40 == GT",fontsize=16,color="magenta"];672 -> 877[label="",style="dashed", color="magenta", weight=3]; 672 -> 878[label="",style="dashed", color="magenta", weight=3]; 3325[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 otherwise",fontsize=16,color="black",shape="box"];3325 -> 3339[label="",style="solid", color="black", weight=3]; 3326 -> 2227[label="",style="dashed", color="red", weight=0]; 3326[label="FiniteMap.mkBalBranch ywz740 ywz741 ywz743 (FiniteMap.addToFM_C FiniteMap.addToFM0 ywz744 ywz50 ywz9)",fontsize=16,color="magenta"];3326 -> 3340[label="",style="dashed", color="magenta", weight=3]; 3326 -> 3341[label="",style="dashed", color="magenta", weight=3]; 3326 -> 3342[label="",style="dashed", color="magenta", weight=3]; 3326 -> 3343[label="",style="dashed", color="magenta", weight=3]; 3337[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM ywz50 ywz9",fontsize=16,color="black",shape="box"];3337 -> 3354[label="",style="solid", color="black", weight=3]; 3338 -> 3013[label="",style="dashed", color="red", weight=0]; 3338[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch ywz7430 ywz7431 ywz7432 ywz7433 ywz7434) ywz50 ywz9",fontsize=16,color="magenta"];3338 -> 3355[label="",style="dashed", color="magenta", weight=3]; 3338 -> 3356[label="",style="dashed", color="magenta", weight=3]; 3338 -> 3357[label="",style="dashed", color="magenta", weight=3]; 3338 -> 3358[label="",style="dashed", color="magenta", weight=3]; 3338 -> 3359[label="",style="dashed", color="magenta", weight=3]; 2716[label="primMulNat (Succ ywz500100) ywz40000",fontsize=16,color="burlywood",shape="box"];4785[label="ywz40000/Succ ywz400000",fontsize=10,color="white",style="solid",shape="box"];2716 -> 4785[label="",style="solid", color="burlywood", weight=9]; 4785 -> 2730[label="",style="solid", color="burlywood", weight=3]; 4786[label="ywz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];2716 -> 4786[label="",style="solid", color="burlywood", weight=9]; 4786 -> 2731[label="",style="solid", color="burlywood", weight=3]; 2717[label="primMulNat Zero ywz40000",fontsize=16,color="burlywood",shape="box"];4787[label="ywz40000/Succ ywz400000",fontsize=10,color="white",style="solid",shape="box"];2717 -> 4787[label="",style="solid", color="burlywood", weight=9]; 4787 -> 2732[label="",style="solid", color="burlywood", weight=3]; 4788[label="ywz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];2717 -> 4788[label="",style="solid", color="burlywood", weight=9]; 4788 -> 2733[label="",style="solid", color="burlywood", weight=3]; 2718[label="ywz40000",fontsize=16,color="green",shape="box"];2719[label="ywz50010",fontsize=16,color="green",shape="box"];2720[label="ywz40000",fontsize=16,color="green",shape="box"];2721[label="ywz50010",fontsize=16,color="green",shape="box"];3054[label="primCmpInt (Pos (Succ ywz50000)) (Pos ywz4000)",fontsize=16,color="black",shape="box"];3054 -> 3078[label="",style="solid", color="black", weight=3]; 3055[label="primCmpInt (Pos (Succ ywz50000)) (Neg ywz4000)",fontsize=16,color="black",shape="box"];3055 -> 3079[label="",style="solid", color="black", weight=3]; 3056[label="primCmpInt (Pos Zero) (Pos ywz4000)",fontsize=16,color="burlywood",shape="box"];4789[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3056 -> 4789[label="",style="solid", color="burlywood", weight=9]; 4789 -> 3080[label="",style="solid", color="burlywood", weight=3]; 4790[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3056 -> 4790[label="",style="solid", color="burlywood", weight=9]; 4790 -> 3081[label="",style="solid", color="burlywood", weight=3]; 3057[label="primCmpInt (Pos Zero) (Neg ywz4000)",fontsize=16,color="burlywood",shape="box"];4791[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3057 -> 4791[label="",style="solid", color="burlywood", weight=9]; 4791 -> 3082[label="",style="solid", color="burlywood", weight=3]; 4792[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3057 -> 4792[label="",style="solid", color="burlywood", weight=9]; 4792 -> 3083[label="",style="solid", color="burlywood", weight=3]; 3058[label="primCmpInt (Neg (Succ ywz50000)) (Pos ywz4000)",fontsize=16,color="black",shape="box"];3058 -> 3084[label="",style="solid", color="black", weight=3]; 3059[label="primCmpInt (Neg (Succ ywz50000)) (Neg ywz4000)",fontsize=16,color="black",shape="box"];3059 -> 3085[label="",style="solid", color="black", weight=3]; 3060[label="primCmpInt (Neg Zero) (Pos ywz4000)",fontsize=16,color="burlywood",shape="box"];4793[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3060 -> 4793[label="",style="solid", color="burlywood", weight=9]; 4793 -> 3086[label="",style="solid", color="burlywood", weight=3]; 4794[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3060 -> 4794[label="",style="solid", color="burlywood", weight=9]; 4794 -> 3087[label="",style="solid", color="burlywood", weight=3]; 3061[label="primCmpInt (Neg Zero) (Neg ywz4000)",fontsize=16,color="burlywood",shape="box"];4795[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3061 -> 4795[label="",style="solid", color="burlywood", weight=9]; 4795 -> 3088[label="",style="solid", color="burlywood", weight=3]; 4796[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3061 -> 4796[label="",style="solid", color="burlywood", weight=9]; 4796 -> 3089[label="",style="solid", color="burlywood", weight=3]; 4307[label="ywz309",fontsize=16,color="green",shape="box"];4308[label="ywz312",fontsize=16,color="green",shape="box"];2359[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2359 -> 2892[label="",style="solid", color="black", weight=3]; 4309[label="ywz312",fontsize=16,color="green",shape="box"];4310[label="ywz309",fontsize=16,color="green",shape="box"];4311[label="ywz309",fontsize=16,color="green",shape="box"];4312[label="ywz312",fontsize=16,color="green",shape="box"];2367[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2367 -> 2900[label="",style="solid", color="black", weight=3]; 4313[label="ywz309",fontsize=16,color="green",shape="box"];4314[label="ywz312",fontsize=16,color="green",shape="box"];2357[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2357 -> 2890[label="",style="solid", color="black", weight=3]; 4315[label="ywz309",fontsize=16,color="green",shape="box"];4316[label="ywz312",fontsize=16,color="green",shape="box"];2364[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2364 -> 2897[label="",style="solid", color="black", weight=3]; 4317[label="ywz309",fontsize=16,color="green",shape="box"];4318[label="ywz312",fontsize=16,color="green",shape="box"];2365[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2365 -> 2898[label="",style="solid", color="black", weight=3]; 4319[label="ywz309",fontsize=16,color="green",shape="box"];4320[label="ywz312",fontsize=16,color="green",shape="box"];2362[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2362 -> 2895[label="",style="solid", color="black", weight=3]; 4321[label="ywz309",fontsize=16,color="green",shape="box"];4322[label="ywz312",fontsize=16,color="green",shape="box"];2360[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2360 -> 2893[label="",style="solid", color="black", weight=3]; 4323[label="ywz312",fontsize=16,color="green",shape="box"];4324[label="ywz309",fontsize=16,color="green",shape="box"];4325[label="ywz309",fontsize=16,color="green",shape="box"];4326[label="ywz312",fontsize=16,color="green",shape="box"];2366[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2366 -> 2899[label="",style="solid", color="black", weight=3]; 4327[label="ywz309",fontsize=16,color="green",shape="box"];4328[label="ywz312",fontsize=16,color="green",shape="box"];2361[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2361 -> 2894[label="",style="solid", color="black", weight=3]; 4329[label="ywz309",fontsize=16,color="green",shape="box"];4330[label="ywz312",fontsize=16,color="green",shape="box"];2358[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2358 -> 2891[label="",style="solid", color="black", weight=3]; 4331[label="ywz309",fontsize=16,color="green",shape="box"];4332[label="ywz312",fontsize=16,color="green",shape="box"];2368[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2368 -> 2901[label="",style="solid", color="black", weight=3]; 4333[label="ywz309",fontsize=16,color="green",shape="box"];4334[label="ywz312",fontsize=16,color="green",shape="box"];2363[label="ywz5000 < ywz4000",fontsize=16,color="black",shape="triangle"];2363 -> 2896[label="",style="solid", color="black", weight=3]; 4335 -> 4438[label="",style="dashed", color="red", weight=0]; 4335[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM1 ywz340 ywz341 ywz342 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4336[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM ywz343 ywz337)",fontsize=16,color="burlywood",shape="triangle"];4797[label="ywz343/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];4336 -> 4797[label="",style="solid", color="burlywood", weight=9]; 4797 -> 4453[label="",style="solid", color="burlywood", weight=3]; 4798[label="ywz343/FiniteMap.Branch ywz3430 ywz3431 ywz3432 ywz3433 ywz3434",fontsize=10,color="white",style="solid",shape="box"];4336 -> 4798[label="",style="solid", color="burlywood", weight=9]; 4798 -> 4454[label="",style="solid", color="burlywood", weight=3]; 4242[label="FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="green",shape="box"];4243[label="FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64",fontsize=16,color="green",shape="box"];4244[label="ywz9",fontsize=16,color="green",shape="box"];4245[label="Succ (Succ (Succ (Succ 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weight=3]; 3077 -> 3124[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3125[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3126[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3127[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3128[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3129[label="",style="dashed", color="magenta", weight=3]; 3077 -> 3130[label="",style="dashed", color="magenta", weight=3]; 3013[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch ywz740 ywz741 ywz742 ywz743 ywz744) ywz50 ywz9",fontsize=16,color="black",shape="triangle"];3013 -> 3091[label="",style="solid", color="black", weight=3]; 3014 -> 2793[label="",style="dashed", color="red", weight=0]; 3014[label="FiniteMap.mkVBalBranch3Size_r ywz630 ywz631 ywz632 ywz633 ywz634 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];3014 -> 3092[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3093[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3094[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3095[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3096[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3097[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3098[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3099[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3100[label="",style="dashed", color="magenta", weight=3]; 3014 -> 3101[label="",style="dashed", color="magenta", weight=3]; 3015 -> 1120[label="",style="dashed", color="red", weight=0]; 3015[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz630 ywz631 ywz632 ywz633 ywz634 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];3015 -> 3102[label="",style="dashed", color="magenta", weight=3]; 3015 -> 3103[label="",style="dashed", color="magenta", weight=3]; 2820[label="primPlusInt (FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179)",fontsize=16,color="black",shape="box"];2820 -> 2981[label="",style="solid", color="black", weight=3]; 2709 -> 2984[label="",style="dashed", color="red", weight=0]; 2709[label="FiniteMap.mkBalBranch6MkBalBranch4 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179)",fontsize=16,color="magenta"];2709 -> 2985[label="",style="dashed", color="magenta", weight=3]; 2710 -> 4241[label="",style="dashed", color="red", weight=0]; 2710[label="FiniteMap.mkBranch (Pos (Succ Zero)) ywz440 ywz441 ywz179 ywz444",fontsize=16,color="magenta"];2710 -> 4252[label="",style="dashed", color="magenta", weight=3]; 2710 -> 4253[label="",style="dashed", color="magenta", weight=3]; 2710 -> 4254[label="",style="dashed", color="magenta", weight=3]; 2710 -> 4255[label="",style="dashed", color="magenta", weight=3]; 2710 -> 4256[label="",style="dashed", color="magenta", weight=3]; 377 -> 357[label="",style="dashed", color="red", weight=0]; 377[label="Nothing < Nothing",fontsize=16,color="magenta"];377 -> 379[label="",style="dashed", color="magenta", weight=3]; 377 -> 380[label="",style="dashed", color="magenta", weight=3]; 376[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing ywz56",fontsize=16,color="burlywood",shape="triangle"];4799[label="ywz56/False",fontsize=10,color="white",style="solid",shape="box"];376 -> 4799[label="",style="solid", color="burlywood", weight=9]; 4799 -> 381[label="",style="solid", color="burlywood", weight=3]; 4800[label="ywz56/True",fontsize=10,color="white",style="solid",shape="box"];376 -> 4800[label="",style="solid", color="burlywood", weight=9]; 4800 -> 382[label="",style="solid", color="burlywood", weight=3]; 847[label="compare2 ywz50 ywz40 False",fontsize=16,color="black",shape="box"];847 -> 885[label="",style="solid", color="black", weight=3]; 848[label="compare2 ywz50 ywz40 True",fontsize=16,color="black",shape="box"];848 -> 886[label="",style="solid", color="black", weight=3]; 393 -> 357[label="",style="dashed", color="red", weight=0]; 393[label="Nothing < Just ywz400",fontsize=16,color="magenta"];393 -> 395[label="",style="dashed", color="magenta", weight=3]; 393 -> 396[label="",style="dashed", color="magenta", weight=3]; 392[label="FiniteMap.splitGT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing ywz57",fontsize=16,color="burlywood",shape="triangle"];4801[label="ywz57/False",fontsize=10,color="white",style="solid",shape="box"];392 -> 4801[label="",style="solid", color="burlywood", weight=9]; 4801 -> 397[label="",style="solid", color="burlywood", weight=3]; 4802[label="ywz57/True",fontsize=10,color="white",style="solid",shape="box"];392 -> 4802[label="",style="solid", color="burlywood", weight=9]; 4802 -> 398[label="",style="solid", color="burlywood", weight=3]; 286[label="FiniteMap.splitGT FiniteMap.EmptyFM Nothing",fontsize=16,color="black",shape="box"];286 -> 399[label="",style="solid", color="black", weight=3]; 287[label="FiniteMap.splitGT (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) Nothing",fontsize=16,color="black",shape="box"];287 -> 400[label="",style="solid", color="black", weight=3]; 402 -> 357[label="",style="dashed", color="red", weight=0]; 402[label="Just ywz500 < Nothing",fontsize=16,color="magenta"];402 -> 404[label="",style="dashed", color="magenta", weight=3]; 402 -> 405[label="",style="dashed", color="magenta", weight=3]; 401[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) ywz58",fontsize=16,color="burlywood",shape="triangle"];4803[label="ywz58/False",fontsize=10,color="white",style="solid",shape="box"];401 -> 4803[label="",style="solid", color="burlywood", weight=9]; 4803 -> 406[label="",style="solid", color="burlywood", weight=3]; 4804[label="ywz58/True",fontsize=10,color="white",style="solid",shape="box"];401 -> 4804[label="",style="solid", color="burlywood", weight=9]; 4804 -> 407[label="",style="solid", color="burlywood", weight=3]; 324[label="FiniteMap.splitGT FiniteMap.EmptyFM (Just ywz500)",fontsize=16,color="black",shape="box"];324 -> 408[label="",style="solid", color="black", weight=3]; 325[label="FiniteMap.splitGT (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) (Just ywz500)",fontsize=16,color="black",shape="box"];325 -> 409[label="",style="solid", color="black", weight=3]; 849[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4805[label="ywz500/ywz5000 :% ywz5001",fontsize=10,color="white",style="solid",shape="box"];849 -> 4805[label="",style="solid", color="burlywood", weight=9]; 4805 -> 887[label="",style="solid", color="burlywood", weight=3]; 850[label="ywz500 == ywz400",fontsize=16,color="black",shape="triangle"];850 -> 888[label="",style="solid", color="black", weight=3]; 851[label="ywz500 == ywz400",fontsize=16,color="black",shape="triangle"];851 -> 889[label="",style="solid", color="black", weight=3]; 852[label="ywz500 == ywz400",fontsize=16,color="black",shape="triangle"];852 -> 890[label="",style="solid", color="black", weight=3]; 853[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4806[label="ywz500/(ywz5000,ywz5001)",fontsize=10,color="white",style="solid",shape="box"];853 -> 4806[label="",style="solid", color="burlywood", weight=9]; 4806 -> 891[label="",style="solid", color="burlywood", weight=3]; 854 -> 120[label="",style="dashed", color="red", weight=0]; 854[label="ywz500 == ywz400",fontsize=16,color="magenta"];855[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4807[label="ywz500/(ywz5000,ywz5001,ywz5002)",fontsize=10,color="white",style="solid",shape="box"];855 -> 4807[label="",style="solid", color="burlywood", weight=9]; 4807 -> 892[label="",style="solid", color="burlywood", weight=3]; 856[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4808[label="ywz500/Left ywz5000",fontsize=10,color="white",style="solid",shape="box"];856 -> 4808[label="",style="solid", color="burlywood", weight=9]; 4808 -> 893[label="",style="solid", color="burlywood", weight=3]; 4809[label="ywz500/Right ywz5000",fontsize=10,color="white",style="solid",shape="box"];856 -> 4809[label="",style="solid", color="burlywood", weight=9]; 4809 -> 894[label="",style="solid", color="burlywood", weight=3]; 857[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4810[label="ywz500/False",fontsize=10,color="white",style="solid",shape="box"];857 -> 4810[label="",style="solid", color="burlywood", weight=9]; 4810 -> 895[label="",style="solid", color="burlywood", weight=3]; 4811[label="ywz500/True",fontsize=10,color="white",style="solid",shape="box"];857 -> 4811[label="",style="solid", color="burlywood", weight=9]; 4811 -> 896[label="",style="solid", color="burlywood", weight=3]; 858[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4812[label="ywz500/ywz5000 : ywz5001",fontsize=10,color="white",style="solid",shape="box"];858 -> 4812[label="",style="solid", color="burlywood", weight=9]; 4812 -> 897[label="",style="solid", color="burlywood", weight=3]; 4813[label="ywz500/[]",fontsize=10,color="white",style="solid",shape="box"];858 -> 4813[label="",style="solid", color="burlywood", weight=9]; 4813 -> 898[label="",style="solid", color="burlywood", weight=3]; 859[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4814[label="ywz500/()",fontsize=10,color="white",style="solid",shape="box"];859 -> 4814[label="",style="solid", color="burlywood", weight=9]; 4814 -> 899[label="",style="solid", color="burlywood", weight=3]; 860[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4815[label="ywz500/Integer ywz5000",fontsize=10,color="white",style="solid",shape="box"];860 -> 4815[label="",style="solid", color="burlywood", weight=9]; 4815 -> 900[label="",style="solid", color="burlywood", weight=3]; 861[label="ywz500 == ywz400",fontsize=16,color="burlywood",shape="triangle"];4816[label="ywz500/Nothing",fontsize=10,color="white",style="solid",shape="box"];861 -> 4816[label="",style="solid", color="burlywood", weight=9]; 4816 -> 901[label="",style="solid", color="burlywood", weight=3]; 4817[label="ywz500/Just ywz5000",fontsize=10,color="white",style="solid",shape="box"];861 -> 4817[label="",style="solid", color="burlywood", weight=9]; 4817 -> 902[label="",style="solid", color="burlywood", weight=3]; 862[label="ywz500 == ywz400",fontsize=16,color="black",shape="triangle"];862 -> 903[label="",style="solid", color="black", weight=3]; 430 -> 357[label="",style="dashed", color="red", weight=0]; 430[label="Just ywz23 < Just ywz18",fontsize=16,color="magenta"];430 -> 432[label="",style="dashed", color="magenta", weight=3]; 430 -> 433[label="",style="dashed", color="magenta", weight=3]; 429[label="FiniteMap.splitGT1 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) ywz59",fontsize=16,color="burlywood",shape="triangle"];4818[label="ywz59/False",fontsize=10,color="white",style="solid",shape="box"];429 -> 4818[label="",style="solid", color="burlywood", weight=9]; 4818 -> 434[label="",style="solid", color="burlywood", weight=3]; 4819[label="ywz59/True",fontsize=10,color="white",style="solid",shape="box"];429 -> 4819[label="",style="solid", color="burlywood", weight=9]; 4819 -> 435[label="",style="solid", color="burlywood", weight=3]; 360[label="ywz22",fontsize=16,color="green",shape="box"];361[label="ywz23",fontsize=16,color="green",shape="box"];437[label="Nothing > Nothing",fontsize=16,color="black",shape="box"];437 -> 439[label="",style="solid", color="black", weight=3]; 436[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing ywz60",fontsize=16,color="burlywood",shape="triangle"];4820[label="ywz60/False",fontsize=10,color="white",style="solid",shape="box"];436 -> 4820[label="",style="solid", color="burlywood", weight=9]; 4820 -> 440[label="",style="solid", color="burlywood", weight=3]; 4821[label="ywz60/True",fontsize=10,color="white",style="solid",shape="box"];436 -> 4821[label="",style="solid", color="burlywood", weight=9]; 4821 -> 441[label="",style="solid", color="burlywood", weight=3]; 444[label="Nothing > Just ywz400",fontsize=16,color="black",shape="box"];444 -> 446[label="",style="solid", color="black", weight=3]; 443[label="FiniteMap.splitLT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing ywz61",fontsize=16,color="burlywood",shape="triangle"];4822[label="ywz61/False",fontsize=10,color="white",style="solid",shape="box"];443 -> 4822[label="",style="solid", color="burlywood", weight=9]; 4822 -> 447[label="",style="solid", color="burlywood", weight=3]; 4823[label="ywz61/True",fontsize=10,color="white",style="solid",shape="box"];443 -> 4823[label="",style="solid", color="burlywood", weight=9]; 4823 -> 448[label="",style="solid", color="burlywood", weight=3]; 291[label="FiniteMap.splitLT FiniteMap.EmptyFM Nothing",fontsize=16,color="black",shape="box"];291 -> 449[label="",style="solid", color="black", weight=3]; 292[label="FiniteMap.splitLT (FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434) Nothing",fontsize=16,color="black",shape="box"];292 -> 450[label="",style="solid", color="black", weight=3]; 453[label="Just ywz500 > Nothing",fontsize=16,color="black",shape="box"];453 -> 455[label="",style="solid", color="black", weight=3]; 452[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) ywz62",fontsize=16,color="burlywood",shape="triangle"];4824[label="ywz62/False",fontsize=10,color="white",style="solid",shape="box"];452 -> 4824[label="",style="solid", color="burlywood", weight=9]; 4824 -> 456[label="",style="solid", color="burlywood", weight=3]; 4825[label="ywz62/True",fontsize=10,color="white",style="solid",shape="box"];452 -> 4825[label="",style="solid", color="burlywood", weight=9]; 4825 -> 457[label="",style="solid", color="burlywood", weight=3]; 295[label="FiniteMap.splitLT FiniteMap.EmptyFM (Just ywz500)",fontsize=16,color="black",shape="box"];295 -> 458[label="",style="solid", color="black", weight=3]; 296[label="FiniteMap.splitLT (FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434) (Just ywz500)",fontsize=16,color="black",shape="box"];296 -> 459[label="",style="solid", color="black", weight=3]; 863 -> 849[label="",style="dashed", color="red", weight=0]; 863[label="ywz500 == ywz400",fontsize=16,color="magenta"];864 -> 850[label="",style="dashed", color="red", weight=0]; 864[label="ywz500 == ywz400",fontsize=16,color="magenta"];865 -> 851[label="",style="dashed", color="red", weight=0]; 865[label="ywz500 == ywz400",fontsize=16,color="magenta"];866 -> 852[label="",style="dashed", color="red", weight=0]; 866[label="ywz500 == ywz400",fontsize=16,color="magenta"];867 -> 853[label="",style="dashed", color="red", weight=0]; 867[label="ywz500 == ywz400",fontsize=16,color="magenta"];868 -> 120[label="",style="dashed", color="red", weight=0]; 868[label="ywz500 == ywz400",fontsize=16,color="magenta"];869 -> 855[label="",style="dashed", color="red", weight=0]; 869[label="ywz500 == ywz400",fontsize=16,color="magenta"];870 -> 856[label="",style="dashed", color="red", weight=0]; 870[label="ywz500 == ywz400",fontsize=16,color="magenta"];871 -> 857[label="",style="dashed", color="red", weight=0]; 871[label="ywz500 == ywz400",fontsize=16,color="magenta"];872 -> 858[label="",style="dashed", color="red", weight=0]; 872[label="ywz500 == ywz400",fontsize=16,color="magenta"];873 -> 859[label="",style="dashed", color="red", weight=0]; 873[label="ywz500 == ywz400",fontsize=16,color="magenta"];874 -> 860[label="",style="dashed", color="red", weight=0]; 874[label="ywz500 == ywz400",fontsize=16,color="magenta"];875 -> 861[label="",style="dashed", color="red", weight=0]; 875[label="ywz500 == ywz400",fontsize=16,color="magenta"];876 -> 862[label="",style="dashed", color="red", weight=0]; 876[label="ywz500 == ywz400",fontsize=16,color="magenta"];461[label="Just ywz38 > Just ywz33",fontsize=16,color="black",shape="box"];461 -> 463[label="",style="solid", color="black", weight=3]; 460[label="FiniteMap.splitLT1 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) ywz63",fontsize=16,color="burlywood",shape="triangle"];4826[label="ywz63/False",fontsize=10,color="white",style="solid",shape="box"];460 -> 4826[label="",style="solid", color="burlywood", weight=9]; 4826 -> 464[label="",style="solid", color="burlywood", weight=3]; 4827[label="ywz63/True",fontsize=10,color="white",style="solid",shape="box"];460 -> 4827[label="",style="solid", color="burlywood", weight=9]; 4827 -> 465[label="",style="solid", color="burlywood", weight=3]; 363[label="ywz38",fontsize=16,color="green",shape="box"];364[label="ywz36",fontsize=16,color="green",shape="box"];846 -> 861[label="",style="dashed", color="red", weight=0]; 846[label="ywz50 == ywz40",fontsize=16,color="magenta"];846 -> 1284[label="",style="dashed", color="magenta", weight=3]; 846 -> 1285[label="",style="dashed", color="magenta", weight=3]; 877[label="GT",fontsize=16,color="green",shape="box"];878 -> 467[label="",style="dashed", color="red", weight=0]; 878[label="compare ywz50 ywz40",fontsize=16,color="magenta"];3339[label="FiniteMap.addToFM_C0 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 True",fontsize=16,color="black",shape="box"];3339 -> 3360[label="",style="solid", color="black", weight=3]; 3340[label="ywz741",fontsize=16,color="green",shape="box"];3341 -> 3299[label="",style="dashed", color="red", weight=0]; 3341[label="FiniteMap.addToFM_C FiniteMap.addToFM0 ywz744 ywz50 ywz9",fontsize=16,color="magenta"];3341 -> 3361[label="",style="dashed", color="magenta", weight=3]; 3342[label="ywz743",fontsize=16,color="green",shape="box"];3343[label="ywz740",fontsize=16,color="green",shape="box"];3354[label="FiniteMap.unitFM ywz50 ywz9",fontsize=16,color="black",shape="box"];3354 -> 3369[label="",style="solid", color="black", weight=3]; 3355[label="ywz7431",fontsize=16,color="green",shape="box"];3356[label="ywz7433",fontsize=16,color="green",shape="box"];3357[label="ywz7430",fontsize=16,color="green",shape="box"];3358[label="ywz7434",fontsize=16,color="green",shape="box"];3359[label="ywz7432",fontsize=16,color="green",shape="box"];2730[label="primMulNat (Succ ywz500100) (Succ ywz400000)",fontsize=16,color="black",shape="box"];2730 -> 2760[label="",style="solid", color="black", weight=3]; 2731[label="primMulNat (Succ ywz500100) Zero",fontsize=16,color="black",shape="box"];2731 -> 2761[label="",style="solid", color="black", weight=3]; 2732[label="primMulNat Zero (Succ ywz400000)",fontsize=16,color="black",shape="box"];2732 -> 2762[label="",style="solid", color="black", weight=3]; 2733[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];2733 -> 2763[label="",style="solid", color="black", weight=3]; 3078[label="primCmpNat (Succ ywz50000) ywz4000",fontsize=16,color="burlywood",shape="triangle"];4828[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3078 -> 4828[label="",style="solid", color="burlywood", weight=9]; 4828 -> 3131[label="",style="solid", color="burlywood", weight=3]; 4829[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3078 -> 4829[label="",style="solid", color="burlywood", weight=9]; 4829 -> 3132[label="",style="solid", color="burlywood", weight=3]; 3079[label="GT",fontsize=16,color="green",shape="box"];3080[label="primCmpInt (Pos Zero) (Pos (Succ ywz40000))",fontsize=16,color="black",shape="box"];3080 -> 3133[label="",style="solid", color="black", weight=3]; 3081[label="primCmpInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];3081 -> 3134[label="",style="solid", color="black", weight=3]; 3082[label="primCmpInt (Pos Zero) (Neg (Succ ywz40000))",fontsize=16,color="black",shape="box"];3082 -> 3135[label="",style="solid", color="black", weight=3]; 3083[label="primCmpInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];3083 -> 3136[label="",style="solid", color="black", weight=3]; 3084[label="LT",fontsize=16,color="green",shape="box"];3085[label="primCmpNat ywz4000 (Succ ywz50000)",fontsize=16,color="burlywood",shape="triangle"];4830[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];3085 -> 4830[label="",style="solid", color="burlywood", weight=9]; 4830 -> 3137[label="",style="solid", color="burlywood", weight=3]; 4831[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];3085 -> 4831[label="",style="solid", color="burlywood", weight=9]; 4831 -> 3138[label="",style="solid", color="burlywood", weight=3]; 3086[label="primCmpInt (Neg Zero) (Pos (Succ ywz40000))",fontsize=16,color="black",shape="box"];3086 -> 3139[label="",style="solid", color="black", weight=3]; 3087[label="primCmpInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];3087 -> 3140[label="",style="solid", color="black", weight=3]; 3088[label="primCmpInt (Neg Zero) (Neg (Succ ywz40000))",fontsize=16,color="black",shape="box"];3088 -> 3141[label="",style="solid", color="black", weight=3]; 3089[label="primCmpInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];3089 -> 3142[label="",style="solid", color="black", weight=3]; 2892 -> 120[label="",style="dashed", color="red", weight=0]; 2892[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2892 -> 3527[label="",style="dashed", color="magenta", weight=3]; 2892 -> 3528[label="",style="dashed", color="magenta", weight=3]; 2900 -> 120[label="",style="dashed", color="red", weight=0]; 2900[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2900 -> 3543[label="",style="dashed", color="magenta", weight=3]; 2900 -> 3544[label="",style="dashed", color="magenta", weight=3]; 2890 -> 120[label="",style="dashed", color="red", weight=0]; 2890[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2890 -> 3523[label="",style="dashed", color="magenta", weight=3]; 2890 -> 3524[label="",style="dashed", color="magenta", weight=3]; 2897 -> 120[label="",style="dashed", color="red", weight=0]; 2897[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2897 -> 3537[label="",style="dashed", color="magenta", weight=3]; 2897 -> 3538[label="",style="dashed", color="magenta", weight=3]; 2898 -> 120[label="",style="dashed", color="red", weight=0]; 2898[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2898 -> 3539[label="",style="dashed", color="magenta", weight=3]; 2898 -> 3540[label="",style="dashed", color="magenta", weight=3]; 2895 -> 120[label="",style="dashed", color="red", weight=0]; 2895[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2895 -> 3533[label="",style="dashed", color="magenta", weight=3]; 2895 -> 3534[label="",style="dashed", color="magenta", weight=3]; 2893 -> 120[label="",style="dashed", color="red", weight=0]; 2893[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2893 -> 3529[label="",style="dashed", color="magenta", weight=3]; 2893 -> 3530[label="",style="dashed", color="magenta", weight=3]; 2899 -> 120[label="",style="dashed", color="red", weight=0]; 2899[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2899 -> 3541[label="",style="dashed", color="magenta", weight=3]; 2899 -> 3542[label="",style="dashed", color="magenta", weight=3]; 2894 -> 120[label="",style="dashed", color="red", weight=0]; 2894[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2894 -> 3531[label="",style="dashed", color="magenta", weight=3]; 2894 -> 3532[label="",style="dashed", color="magenta", weight=3]; 2891 -> 120[label="",style="dashed", color="red", weight=0]; 2891[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2891 -> 3525[label="",style="dashed", color="magenta", weight=3]; 2891 -> 3526[label="",style="dashed", color="magenta", weight=3]; 2901 -> 120[label="",style="dashed", color="red", weight=0]; 2901[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2901 -> 3545[label="",style="dashed", color="magenta", weight=3]; 2901 -> 3546[label="",style="dashed", color="magenta", weight=3]; 2896 -> 120[label="",style="dashed", color="red", weight=0]; 2896[label="compare ywz5000 ywz4000 == LT",fontsize=16,color="magenta"];2896 -> 3535[label="",style="dashed", color="magenta", weight=3]; 2896 -> 3536[label="",style="dashed", color="magenta", weight=3]; 4439[label="ywz339",fontsize=16,color="green",shape="box"];4440[label="ywz341",fontsize=16,color="green",shape="box"];4441[label="ywz337 > ywz340",fontsize=16,color="blue",shape="box"];4832[label="> :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4832[label="",style="solid", color="blue", weight=9]; 4832 -> 4455[label="",style="solid", color="blue", weight=3]; 4833[label="> :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4833[label="",style="solid", color="blue", weight=9]; 4833 -> 4456[label="",style="solid", color="blue", weight=3]; 4834[label="> :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4834[label="",style="solid", color="blue", weight=9]; 4834 -> 4457[label="",style="solid", color="blue", weight=3]; 4835[label="> :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4835[label="",style="solid", color="blue", weight=9]; 4835 -> 4458[label="",style="solid", color="blue", weight=3]; 4836[label="> :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4836[label="",style="solid", color="blue", weight=9]; 4836 -> 4459[label="",style="solid", color="blue", weight=3]; 4837[label="> :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4837[label="",style="solid", color="blue", weight=9]; 4837 -> 4460[label="",style="solid", color="blue", weight=3]; 4838[label="> :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4838[label="",style="solid", color="blue", weight=9]; 4838 -> 4461[label="",style="solid", color="blue", weight=3]; 4839[label="> :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4839[label="",style="solid", color="blue", weight=9]; 4839 -> 4462[label="",style="solid", color="blue", weight=3]; 4840[label="> :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4840[label="",style="solid", color="blue", weight=9]; 4840 -> 4463[label="",style="solid", color="blue", weight=3]; 4841[label="> :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4841[label="",style="solid", color="blue", weight=9]; 4841 -> 4464[label="",style="solid", color="blue", weight=3]; 4842[label="> :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4842[label="",style="solid", color="blue", weight=9]; 4842 -> 4465[label="",style="solid", color="blue", weight=3]; 4843[label="> :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4843[label="",style="solid", color="blue", weight=9]; 4843 -> 4466[label="",style="solid", color="blue", weight=3]; 4844[label="> :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4844[label="",style="solid", color="blue", weight=9]; 4844 -> 4467[label="",style="solid", color="blue", weight=3]; 4845[label="> :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];4441 -> 4845[label="",style="solid", color="blue", weight=9]; 4845 -> 4468[label="",style="solid", color="blue", weight=3]; 4442[label="ywz332",fontsize=16,color="green",shape="box"];4443[label="ywz333",fontsize=16,color="green",shape="box"];4444[label="ywz337",fontsize=16,color="green",shape="box"];4445[label="ywz338",fontsize=16,color="green",shape="box"];4446[label="ywz344",fontsize=16,color="green",shape="box"];4447[label="ywz335",fontsize=16,color="green",shape="box"];4448[label="ywz340",fontsize=16,color="green",shape="box"];4449[label="ywz342",fontsize=16,color="green",shape="box"];4450[label="ywz336",fontsize=16,color="green",shape="box"];4451[label="ywz343",fontsize=16,color="green",shape="box"];4452[label="ywz334",fontsize=16,color="green",shape="box"];4438[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM1 ywz375 ywz376 ywz377 ywz378 ywz379 ywz372 ywz380)",fontsize=16,color="burlywood",shape="triangle"];4846[label="ywz380/False",fontsize=10,color="white",style="solid",shape="box"];4438 -> 4846[label="",style="solid", color="burlywood", weight=9]; 4846 -> 4469[label="",style="solid", color="burlywood", weight=3]; 4847[label="ywz380/True",fontsize=10,color="white",style="solid",shape="box"];4438 -> 4847[label="",style="solid", color="burlywood", weight=9]; 4847 -> 4470[label="",style="solid", color="burlywood", weight=3]; 4453[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM FiniteMap.EmptyFM ywz337)",fontsize=16,color="black",shape="box"];4453 -> 4474[label="",style="solid", color="black", weight=3]; 4454[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM (FiniteMap.Branch ywz3430 ywz3431 ywz3432 ywz3433 ywz3434) ywz337)",fontsize=16,color="black",shape="box"];4454 -> 4475[label="",style="solid", color="black", weight=3]; 4337[label="FiniteMap.mkBranchResult ywz348 ywz349 ywz350 ywz351",fontsize=16,color="black",shape="box"];4337 -> 4471[label="",style="solid", color="black", weight=3]; 3120 -> 2979[label="",style="dashed", color="red", weight=0]; 3120[label="FiniteMap.addToFM (FiniteMap.Branch ywz60 ywz61 ywz62 ywz63 ywz64) ywz50 ywz9",fontsize=16,color="magenta"];3120 -> 3248[label="",style="dashed", color="magenta", weight=3]; 3120 -> 3249[label="",style="dashed", color="magenta", weight=3]; 3120 -> 3250[label="",style="dashed", color="magenta", weight=3]; 3120 -> 3251[label="",style="dashed", color="magenta", weight=3]; 3120 -> 3252[label="",style="dashed", color="magenta", weight=3]; 3121[label="ywz7441",fontsize=16,color="green",shape="box"];3122[label="ywz61",fontsize=16,color="green",shape="box"];3123[label="ywz63",fontsize=16,color="green",shape="box"];3124[label="ywz7443",fontsize=16,color="green",shape="box"];3125[label="ywz62",fontsize=16,color="green",shape="box"];3126[label="ywz64",fontsize=16,color="green",shape="box"];3127[label="ywz7440",fontsize=16,color="green",shape="box"];3128[label="ywz7444",fontsize=16,color="green",shape="box"];3129[label="ywz60",fontsize=16,color="green",shape="box"];3130[label="ywz7442",fontsize=16,color="green",shape="box"];3091 -> 3144[label="",style="dashed", color="red", weight=0]; 3091[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz740 ywz741 ywz742 ywz743 ywz744 ywz50 ywz9 (ywz50 < ywz740)",fontsize=16,color="magenta"];3091 -> 3212[label="",style="dashed", color="magenta", weight=3]; 3092[label="ywz742",fontsize=16,color="green",shape="box"];3093[label="ywz743",fontsize=16,color="green",shape="box"];3094[label="ywz632",fontsize=16,color="green",shape="box"];3095[label="ywz633",fontsize=16,color="green",shape="box"];3096[label="ywz740",fontsize=16,color="green",shape="box"];3097[label="ywz630",fontsize=16,color="green",shape="box"];3098[label="ywz631",fontsize=16,color="green",shape="box"];3099[label="ywz741",fontsize=16,color="green",shape="box"];3100[label="ywz634",fontsize=16,color="green",shape="box"];3101[label="ywz744",fontsize=16,color="green",shape="box"];3102 -> 2797[label="",style="dashed", color="red", weight=0]; 3102[label="FiniteMap.mkVBalBranch3Size_l ywz630 ywz631 ywz632 ywz633 ywz634 ywz740 ywz741 ywz742 ywz743 ywz744",fontsize=16,color="magenta"];3102 -> 3253[label="",style="dashed", color="magenta", weight=3]; 3102 -> 3254[label="",style="dashed", color="magenta", weight=3]; 3102 -> 3255[label="",style="dashed", color="magenta", weight=3]; 3102 -> 3256[label="",style="dashed", color="magenta", weight=3]; 3102 -> 3257[label="",style="dashed", color="magenta", weight=3]; 3103 -> 2811[label="",style="dashed", color="red", weight=0]; 3103[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];2981[label="primPlusInt (FiniteMap.sizeFM ywz179) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179)",fontsize=16,color="burlywood",shape="box"];4848[label="ywz179/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];2981 -> 4848[label="",style="solid", color="burlywood", weight=9]; 4848 -> 3002[label="",style="solid", color="burlywood", weight=3]; 4849[label="ywz179/FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794",fontsize=10,color="white",style="solid",shape="box"];2981 -> 4849[label="",style="solid", color="burlywood", weight=9]; 4849 -> 3003[label="",style="solid", color="burlywood", weight=3]; 2985 -> 3362[label="",style="dashed", color="red", weight=0]; 2985[label="FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];2985 -> 3363[label="",style="dashed", color="magenta", weight=3]; 2985 -> 3364[label="",style="dashed", color="magenta", weight=3]; 2984[label="FiniteMap.mkBalBranch6MkBalBranch4 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 ywz213",fontsize=16,color="burlywood",shape="triangle"];4850[label="ywz213/False",fontsize=10,color="white",style="solid",shape="box"];2984 -> 4850[label="",style="solid", color="burlywood", weight=9]; 4850 -> 3016[label="",style="solid", color="burlywood", weight=3]; 4851[label="ywz213/True",fontsize=10,color="white",style="solid",shape="box"];2984 -> 4851[label="",style="solid", color="burlywood", weight=9]; 4851 -> 3017[label="",style="solid", color="burlywood", weight=3]; 4252[label="ywz179",fontsize=16,color="green",shape="box"];4253[label="ywz444",fontsize=16,color="green",shape="box"];4254[label="ywz441",fontsize=16,color="green",shape="box"];4255[label="Zero",fontsize=16,color="green",shape="box"];4256[label="ywz440",fontsize=16,color="green",shape="box"];379[label="Nothing",fontsize=16,color="green",shape="box"];380[label="Nothing",fontsize=16,color="green",shape="box"];381[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];381 -> 486[label="",style="solid", color="black", weight=3]; 382[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];382 -> 487[label="",style="solid", color="black", weight=3]; 885[label="compare1 ywz50 ywz40 (ywz50 <= ywz40)",fontsize=16,color="burlywood",shape="box"];4852[label="ywz50/Nothing",fontsize=10,color="white",style="solid",shape="box"];885 -> 4852[label="",style="solid", color="burlywood", weight=9]; 4852 -> 907[label="",style="solid", color="burlywood", weight=3]; 4853[label="ywz50/Just ywz500",fontsize=10,color="white",style="solid",shape="box"];885 -> 4853[label="",style="solid", color="burlywood", weight=9]; 4853 -> 908[label="",style="solid", color="burlywood", weight=3]; 886[label="EQ",fontsize=16,color="green",shape="box"];395[label="Just ywz400",fontsize=16,color="green",shape="box"];396[label="Nothing",fontsize=16,color="green",shape="box"];397[label="FiniteMap.splitGT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];397 -> 488[label="",style="solid", color="black", weight=3]; 398[label="FiniteMap.splitGT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];398 -> 489[label="",style="solid", color="black", weight=3]; 399[label="FiniteMap.splitGT4 FiniteMap.EmptyFM Nothing",fontsize=16,color="black",shape="box"];399 -> 490[label="",style="solid", color="black", weight=3]; 400 -> 27[label="",style="dashed", color="red", weight=0]; 400[label="FiniteMap.splitGT3 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) Nothing",fontsize=16,color="magenta"];400 -> 491[label="",style="dashed", color="magenta", weight=3]; 400 -> 492[label="",style="dashed", color="magenta", weight=3]; 400 -> 493[label="",style="dashed", color="magenta", weight=3]; 400 -> 494[label="",style="dashed", color="magenta", weight=3]; 400 -> 495[label="",style="dashed", color="magenta", weight=3]; 400 -> 496[label="",style="dashed", color="magenta", weight=3]; 404[label="Nothing",fontsize=16,color="green",shape="box"];405[label="Just ywz500",fontsize=16,color="green",shape="box"];406[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) False",fontsize=16,color="black",shape="box"];406 -> 497[label="",style="solid", color="black", weight=3]; 407[label="FiniteMap.splitGT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];407 -> 498[label="",style="solid", color="black", weight=3]; 408[label="FiniteMap.splitGT4 FiniteMap.EmptyFM (Just ywz500)",fontsize=16,color="black",shape="box"];408 -> 499[label="",style="solid", color="black", weight=3]; 409 -> 27[label="",style="dashed", color="red", weight=0]; 409[label="FiniteMap.splitGT3 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) (Just ywz500)",fontsize=16,color="magenta"];409 -> 500[label="",style="dashed", color="magenta", weight=3]; 409 -> 501[label="",style="dashed", color="magenta", weight=3]; 409 -> 502[label="",style="dashed", color="magenta", weight=3]; 409 -> 503[label="",style="dashed", color="magenta", weight=3]; 409 -> 504[label="",style="dashed", color="magenta", weight=3]; 409 -> 505[label="",style="dashed", color="magenta", weight=3]; 887[label="ywz5000 :% ywz5001 == ywz400",fontsize=16,color="burlywood",shape="box"];4854[label="ywz400/ywz4000 :% ywz4001",fontsize=10,color="white",style="solid",shape="box"];887 -> 4854[label="",style="solid", color="burlywood", weight=9]; 4854 -> 909[label="",style="solid", color="burlywood", weight=3]; 888[label="primEqFloat ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4855[label="ywz500/Float ywz5000 ywz5001",fontsize=10,color="white",style="solid",shape="box"];888 -> 4855[label="",style="solid", color="burlywood", weight=9]; 4855 -> 910[label="",style="solid", color="burlywood", weight=3]; 889[label="primEqDouble ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4856[label="ywz500/Double ywz5000 ywz5001",fontsize=10,color="white",style="solid",shape="box"];889 -> 4856[label="",style="solid", color="burlywood", weight=9]; 4856 -> 911[label="",style="solid", color="burlywood", weight=3]; 890[label="primEqChar ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4857[label="ywz500/Char ywz5000",fontsize=10,color="white",style="solid",shape="box"];890 -> 4857[label="",style="solid", color="burlywood", weight=9]; 4857 -> 912[label="",style="solid", color="burlywood", weight=3]; 891[label="(ywz5000,ywz5001) == ywz400",fontsize=16,color="burlywood",shape="box"];4858[label="ywz400/(ywz4000,ywz4001)",fontsize=10,color="white",style="solid",shape="box"];891 -> 4858[label="",style="solid", color="burlywood", weight=9]; 4858 -> 913[label="",style="solid", color="burlywood", weight=3]; 892[label="(ywz5000,ywz5001,ywz5002) == ywz400",fontsize=16,color="burlywood",shape="box"];4859[label="ywz400/(ywz4000,ywz4001,ywz4002)",fontsize=10,color="white",style="solid",shape="box"];892 -> 4859[label="",style="solid", color="burlywood", weight=9]; 4859 -> 914[label="",style="solid", color="burlywood", weight=3]; 893[label="Left ywz5000 == ywz400",fontsize=16,color="burlywood",shape="box"];4860[label="ywz400/Left ywz4000",fontsize=10,color="white",style="solid",shape="box"];893 -> 4860[label="",style="solid", color="burlywood", weight=9]; 4860 -> 915[label="",style="solid", color="burlywood", weight=3]; 4861[label="ywz400/Right ywz4000",fontsize=10,color="white",style="solid",shape="box"];893 -> 4861[label="",style="solid", color="burlywood", weight=9]; 4861 -> 916[label="",style="solid", color="burlywood", weight=3]; 894[label="Right ywz5000 == ywz400",fontsize=16,color="burlywood",shape="box"];4862[label="ywz400/Left ywz4000",fontsize=10,color="white",style="solid",shape="box"];894 -> 4862[label="",style="solid", color="burlywood", weight=9]; 4862 -> 917[label="",style="solid", color="burlywood", weight=3]; 4863[label="ywz400/Right ywz4000",fontsize=10,color="white",style="solid",shape="box"];894 -> 4863[label="",style="solid", color="burlywood", weight=9]; 4863 -> 918[label="",style="solid", color="burlywood", weight=3]; 895[label="False == ywz400",fontsize=16,color="burlywood",shape="box"];4864[label="ywz400/False",fontsize=10,color="white",style="solid",shape="box"];895 -> 4864[label="",style="solid", color="burlywood", weight=9]; 4864 -> 919[label="",style="solid", color="burlywood", weight=3]; 4865[label="ywz400/True",fontsize=10,color="white",style="solid",shape="box"];895 -> 4865[label="",style="solid", color="burlywood", weight=9]; 4865 -> 920[label="",style="solid", color="burlywood", weight=3]; 896[label="True == ywz400",fontsize=16,color="burlywood",shape="box"];4866[label="ywz400/False",fontsize=10,color="white",style="solid",shape="box"];896 -> 4866[label="",style="solid", color="burlywood", weight=9]; 4866 -> 921[label="",style="solid", color="burlywood", weight=3]; 4867[label="ywz400/True",fontsize=10,color="white",style="solid",shape="box"];896 -> 4867[label="",style="solid", color="burlywood", weight=9]; 4867 -> 922[label="",style="solid", color="burlywood", weight=3]; 897[label="ywz5000 : ywz5001 == ywz400",fontsize=16,color="burlywood",shape="box"];4868[label="ywz400/ywz4000 : ywz4001",fontsize=10,color="white",style="solid",shape="box"];897 -> 4868[label="",style="solid", color="burlywood", weight=9]; 4868 -> 923[label="",style="solid", color="burlywood", weight=3]; 4869[label="ywz400/[]",fontsize=10,color="white",style="solid",shape="box"];897 -> 4869[label="",style="solid", color="burlywood", weight=9]; 4869 -> 924[label="",style="solid", color="burlywood", weight=3]; 898[label="[] == ywz400",fontsize=16,color="burlywood",shape="box"];4870[label="ywz400/ywz4000 : ywz4001",fontsize=10,color="white",style="solid",shape="box"];898 -> 4870[label="",style="solid", color="burlywood", weight=9]; 4870 -> 925[label="",style="solid", color="burlywood", weight=3]; 4871[label="ywz400/[]",fontsize=10,color="white",style="solid",shape="box"];898 -> 4871[label="",style="solid", color="burlywood", weight=9]; 4871 -> 926[label="",style="solid", color="burlywood", weight=3]; 899[label="() == ywz400",fontsize=16,color="burlywood",shape="box"];4872[label="ywz400/()",fontsize=10,color="white",style="solid",shape="box"];899 -> 4872[label="",style="solid", color="burlywood", weight=9]; 4872 -> 927[label="",style="solid", color="burlywood", weight=3]; 900[label="Integer ywz5000 == ywz400",fontsize=16,color="burlywood",shape="box"];4873[label="ywz400/Integer ywz4000",fontsize=10,color="white",style="solid",shape="box"];900 -> 4873[label="",style="solid", color="burlywood", weight=9]; 4873 -> 928[label="",style="solid", color="burlywood", weight=3]; 901[label="Nothing == ywz400",fontsize=16,color="burlywood",shape="box"];4874[label="ywz400/Nothing",fontsize=10,color="white",style="solid",shape="box"];901 -> 4874[label="",style="solid", color="burlywood", weight=9]; 4874 -> 929[label="",style="solid", color="burlywood", weight=3]; 4875[label="ywz400/Just ywz4000",fontsize=10,color="white",style="solid",shape="box"];901 -> 4875[label="",style="solid", color="burlywood", weight=9]; 4875 -> 930[label="",style="solid", color="burlywood", weight=3]; 902[label="Just ywz5000 == ywz400",fontsize=16,color="burlywood",shape="box"];4876[label="ywz400/Nothing",fontsize=10,color="white",style="solid",shape="box"];902 -> 4876[label="",style="solid", color="burlywood", weight=9]; 4876 -> 931[label="",style="solid", color="burlywood", weight=3]; 4877[label="ywz400/Just ywz4000",fontsize=10,color="white",style="solid",shape="box"];902 -> 4877[label="",style="solid", color="burlywood", weight=9]; 4877 -> 932[label="",style="solid", color="burlywood", weight=3]; 903[label="primEqInt ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4878[label="ywz500/Pos ywz5000",fontsize=10,color="white",style="solid",shape="box"];903 -> 4878[label="",style="solid", color="burlywood", weight=9]; 4878 -> 933[label="",style="solid", color="burlywood", weight=3]; 4879[label="ywz500/Neg ywz5000",fontsize=10,color="white",style="solid",shape="box"];903 -> 4879[label="",style="solid", color="burlywood", weight=9]; 4879 -> 934[label="",style="solid", color="burlywood", weight=3]; 432[label="Just ywz18",fontsize=16,color="green",shape="box"];433[label="Just ywz23",fontsize=16,color="green",shape="box"];434[label="FiniteMap.splitGT1 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) False",fontsize=16,color="black",shape="box"];434 -> 533[label="",style="solid", color="black", weight=3]; 435[label="FiniteMap.splitGT1 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) True",fontsize=16,color="black",shape="box"];435 -> 534[label="",style="solid", color="black", weight=3]; 439 -> 120[label="",style="dashed", color="red", weight=0]; 439[label="compare Nothing Nothing == GT",fontsize=16,color="magenta"];439 -> 535[label="",style="dashed", color="magenta", weight=3]; 439 -> 536[label="",style="dashed", color="magenta", weight=3]; 440[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];440 -> 537[label="",style="solid", color="black", weight=3]; 441[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];441 -> 538[label="",style="solid", color="black", weight=3]; 446 -> 120[label="",style="dashed", color="red", weight=0]; 446[label="compare Nothing (Just ywz400) == GT",fontsize=16,color="magenta"];446 -> 539[label="",style="dashed", color="magenta", weight=3]; 446 -> 540[label="",style="dashed", color="magenta", weight=3]; 447[label="FiniteMap.splitLT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing False",fontsize=16,color="black",shape="box"];447 -> 541[label="",style="solid", color="black", weight=3]; 448[label="FiniteMap.splitLT1 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];448 -> 542[label="",style="solid", color="black", weight=3]; 449[label="FiniteMap.splitLT4 FiniteMap.EmptyFM Nothing",fontsize=16,color="black",shape="box"];449 -> 543[label="",style="solid", color="black", weight=3]; 450 -> 28[label="",style="dashed", color="red", weight=0]; 450[label="FiniteMap.splitLT3 (FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434) Nothing",fontsize=16,color="magenta"];450 -> 544[label="",style="dashed", color="magenta", weight=3]; 450 -> 545[label="",style="dashed", color="magenta", weight=3]; 450 -> 546[label="",style="dashed", color="magenta", weight=3]; 450 -> 547[label="",style="dashed", color="magenta", weight=3]; 450 -> 548[label="",style="dashed", color="magenta", weight=3]; 450 -> 549[label="",style="dashed", color="magenta", weight=3]; 455 -> 120[label="",style="dashed", color="red", weight=0]; 455[label="compare (Just ywz500) Nothing == GT",fontsize=16,color="magenta"];455 -> 551[label="",style="dashed", color="magenta", weight=3]; 455 -> 552[label="",style="dashed", color="magenta", weight=3]; 456[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) False",fontsize=16,color="black",shape="box"];456 -> 553[label="",style="solid", color="black", weight=3]; 457[label="FiniteMap.splitLT1 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];457 -> 554[label="",style="solid", color="black", weight=3]; 458[label="FiniteMap.splitLT4 FiniteMap.EmptyFM (Just ywz500)",fontsize=16,color="black",shape="box"];458 -> 555[label="",style="solid", color="black", weight=3]; 459 -> 28[label="",style="dashed", color="red", weight=0]; 459[label="FiniteMap.splitLT3 (FiniteMap.Branch ywz430 ywz431 ywz432 ywz433 ywz434) (Just ywz500)",fontsize=16,color="magenta"];459 -> 556[label="",style="dashed", color="magenta", weight=3]; 459 -> 557[label="",style="dashed", color="magenta", weight=3]; 459 -> 558[label="",style="dashed", color="magenta", weight=3]; 459 -> 559[label="",style="dashed", color="magenta", weight=3]; 459 -> 560[label="",style="dashed", color="magenta", weight=3]; 459 -> 561[label="",style="dashed", color="magenta", weight=3]; 463 -> 120[label="",style="dashed", color="red", weight=0]; 463[label="compare (Just ywz38) (Just ywz33) == GT",fontsize=16,color="magenta"];463 -> 562[label="",style="dashed", color="magenta", weight=3]; 463 -> 563[label="",style="dashed", color="magenta", weight=3]; 464[label="FiniteMap.splitLT1 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) False",fontsize=16,color="black",shape="box"];464 -> 564[label="",style="solid", color="black", weight=3]; 465[label="FiniteMap.splitLT1 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) True",fontsize=16,color="black",shape="box"];465 -> 565[label="",style="solid", color="black", weight=3]; 1284[label="ywz40",fontsize=16,color="green",shape="box"];1285[label="ywz50",fontsize=16,color="green",shape="box"];3360[label="FiniteMap.Branch ywz50 (FiniteMap.addToFM0 ywz741 ywz9) ywz742 ywz743 ywz744",fontsize=16,color="green",shape="box"];3360 -> 3370[label="",style="dashed", color="green", weight=3]; 3361[label="ywz744",fontsize=16,color="green",shape="box"];3369[label="FiniteMap.Branch ywz50 ywz9 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];3369 -> 3389[label="",style="dashed", color="green", weight=3]; 3369 -> 3390[label="",style="dashed", color="green", weight=3]; 2760 -> 2956[label="",style="dashed", color="red", weight=0]; 2760[label="primPlusNat (primMulNat ywz500100 (Succ ywz400000)) (Succ ywz400000)",fontsize=16,color="magenta"];2760 -> 2957[label="",style="dashed", color="magenta", weight=3]; 2761[label="Zero",fontsize=16,color="green",shape="box"];2762[label="Zero",fontsize=16,color="green",shape="box"];2763[label="Zero",fontsize=16,color="green",shape="box"];3131[label="primCmpNat (Succ ywz50000) (Succ ywz40000)",fontsize=16,color="black",shape="box"];3131 -> 3258[label="",style="solid", color="black", weight=3]; 3132[label="primCmpNat (Succ ywz50000) Zero",fontsize=16,color="black",shape="box"];3132 -> 3259[label="",style="solid", color="black", weight=3]; 3133 -> 3085[label="",style="dashed", color="red", weight=0]; 3133[label="primCmpNat Zero (Succ ywz40000)",fontsize=16,color="magenta"];3133 -> 3260[label="",style="dashed", color="magenta", weight=3]; 3133 -> 3261[label="",style="dashed", color="magenta", weight=3]; 3134[label="EQ",fontsize=16,color="green",shape="box"];3135[label="GT",fontsize=16,color="green",shape="box"];3136[label="EQ",fontsize=16,color="green",shape="box"];3137[label="primCmpNat (Succ ywz40000) (Succ ywz50000)",fontsize=16,color="black",shape="box"];3137 -> 3262[label="",style="solid", color="black", weight=3]; 3138[label="primCmpNat Zero (Succ ywz50000)",fontsize=16,color="black",shape="box"];3138 -> 3263[label="",style="solid", color="black", weight=3]; 3139[label="LT",fontsize=16,color="green",shape="box"];3140[label="EQ",fontsize=16,color="green",shape="box"];3141 -> 3078[label="",style="dashed", color="red", weight=0]; 3141[label="primCmpNat (Succ ywz40000) Zero",fontsize=16,color="magenta"];3141 -> 3264[label="",style="dashed", color="magenta", weight=3]; 3141 -> 3265[label="",style="dashed", color="magenta", weight=3]; 3142[label="EQ",fontsize=16,color="green",shape="box"];3527[label="LT",fontsize=16,color="green",shape="box"];3528 -> 2025[label="",style="dashed", color="red", weight=0]; 3528[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3528 -> 3646[label="",style="dashed", color="magenta", weight=3]; 3528 -> 3647[label="",style="dashed", color="magenta", weight=3]; 3543[label="LT",fontsize=16,color="green",shape="box"];3544 -> 2066[label="",style="dashed", color="red", weight=0]; 3544[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3544 -> 3657[label="",style="dashed", color="magenta", weight=3]; 3544 -> 3658[label="",style="dashed", color="magenta", weight=3]; 3523[label="LT",fontsize=16,color="green",shape="box"];3524 -> 2019[label="",style="dashed", color="red", weight=0]; 3524[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3524 -> 3642[label="",style="dashed", color="magenta", weight=3]; 3524 -> 3643[label="",style="dashed", color="magenta", weight=3]; 3537[label="LT",fontsize=16,color="green",shape="box"];3538[label="compare ywz5000 ywz4000",fontsize=16,color="black",shape="triangle"];3538 -> 3653[label="",style="solid", color="black", weight=3]; 3539[label="LT",fontsize=16,color="green",shape="box"];3540[label="compare ywz5000 ywz4000",fontsize=16,color="black",shape="triangle"];3540 -> 3654[label="",style="solid", color="black", weight=3]; 3533[label="LT",fontsize=16,color="green",shape="box"];3534[label="compare ywz5000 ywz4000",fontsize=16,color="black",shape="triangle"];3534 -> 3651[label="",style="solid", color="black", weight=3]; 3529[label="LT",fontsize=16,color="green",shape="box"];3530 -> 2027[label="",style="dashed", color="red", weight=0]; 3530[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3530 -> 3648[label="",style="dashed", color="magenta", weight=3]; 3530 -> 3649[label="",style="dashed", color="magenta", weight=3]; 3541[label="LT",fontsize=16,color="green",shape="box"];3542 -> 2064[label="",style="dashed", color="red", weight=0]; 3542[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3542 -> 3655[label="",style="dashed", color="magenta", weight=3]; 3542 -> 3656[label="",style="dashed", color="magenta", weight=3]; 3531[label="LT",fontsize=16,color="green",shape="box"];3532[label="compare ywz5000 ywz4000",fontsize=16,color="black",shape="triangle"];3532 -> 3650[label="",style="solid", color="black", weight=3]; 3525[label="LT",fontsize=16,color="green",shape="box"];3526 -> 2023[label="",style="dashed", color="red", weight=0]; 3526[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3526 -> 3644[label="",style="dashed", color="magenta", weight=3]; 3526 -> 3645[label="",style="dashed", color="magenta", weight=3]; 3545[label="LT",fontsize=16,color="green",shape="box"];3546 -> 2068[label="",style="dashed", color="red", weight=0]; 3546[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];3546 -> 3659[label="",style="dashed", color="magenta", weight=3]; 3546 -> 3660[label="",style="dashed", color="magenta", weight=3]; 3535[label="LT",fontsize=16,color="green",shape="box"];3536[label="compare ywz5000 ywz4000",fontsize=16,color="black",shape="triangle"];3536 -> 3652[label="",style="solid", color="black", weight=3]; 4455[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4455 -> 4476[label="",style="solid", color="black", weight=3]; 4456 -> 3362[label="",style="dashed", color="red", weight=0]; 4456[label="ywz337 > ywz340",fontsize=16,color="magenta"];4456 -> 4477[label="",style="dashed", color="magenta", weight=3]; 4456 -> 4478[label="",style="dashed", color="magenta", weight=3]; 4457[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4457 -> 4479[label="",style="solid", color="black", weight=3]; 4458[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4458 -> 4480[label="",style="solid", color="black", weight=3]; 4459[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4459 -> 4481[label="",style="solid", color="black", weight=3]; 4460[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4460 -> 4482[label="",style="solid", color="black", weight=3]; 4461[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4461 -> 4483[label="",style="solid", color="black", weight=3]; 4462[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4462 -> 4484[label="",style="solid", color="black", weight=3]; 4463 -> 670[label="",style="dashed", color="red", weight=0]; 4463[label="ywz337 > ywz340",fontsize=16,color="magenta"];4463 -> 4485[label="",style="dashed", color="magenta", weight=3]; 4463 -> 4486[label="",style="dashed", color="magenta", weight=3]; 4464[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4464 -> 4487[label="",style="solid", color="black", weight=3]; 4465[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4465 -> 4488[label="",style="solid", color="black", weight=3]; 4466[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4466 -> 4489[label="",style="solid", color="black", weight=3]; 4467[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4467 -> 4490[label="",style="solid", color="black", weight=3]; 4468[label="ywz337 > ywz340",fontsize=16,color="black",shape="box"];4468 -> 4491[label="",style="solid", color="black", weight=3]; 4469[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM1 ywz375 ywz376 ywz377 ywz378 ywz379 ywz372 False)",fontsize=16,color="black",shape="box"];4469 -> 4492[label="",style="solid", color="black", weight=3]; 4470[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM1 ywz375 ywz376 ywz377 ywz378 ywz379 ywz372 True)",fontsize=16,color="black",shape="box"];4470 -> 4493[label="",style="solid", color="black", weight=3]; 4474[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM4 FiniteMap.EmptyFM ywz337)",fontsize=16,color="black",shape="box"];4474 -> 4497[label="",style="solid", color="black", weight=3]; 4475 -> 4000[label="",style="dashed", color="red", weight=0]; 4475[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 (FiniteMap.lookupFM3 (FiniteMap.Branch ywz3430 ywz3431 ywz3432 ywz3433 ywz3434) ywz337)",fontsize=16,color="magenta"];4475 -> 4498[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4499[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4500[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4501[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4502[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4503[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4504[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4505[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4506[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4507[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4508[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4509[label="",style="dashed", color="magenta", weight=3]; 4475 -> 4510[label="",style="dashed", color="magenta", weight=3]; 4471[label="FiniteMap.Branch ywz348 ywz349 (FiniteMap.mkBranchUnbox ywz350 ywz351 ywz348 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348 + FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348)) ywz350 ywz351",fontsize=16,color="green",shape="box"];4471 -> 4494[label="",style="dashed", color="green", weight=3]; 3248[label="ywz61",fontsize=16,color="green",shape="box"];3249[label="ywz63",fontsize=16,color="green",shape="box"];3250[label="ywz60",fontsize=16,color="green",shape="box"];3251[label="ywz64",fontsize=16,color="green",shape="box"];3252[label="ywz62",fontsize=16,color="green",shape="box"];3212 -> 357[label="",style="dashed", color="red", weight=0]; 3212[label="ywz50 < ywz740",fontsize=16,color="magenta"];3212 -> 3267[label="",style="dashed", color="magenta", weight=3]; 3253[label="ywz632",fontsize=16,color="green",shape="box"];3254[label="ywz633",fontsize=16,color="green",shape="box"];3255[label="ywz630",fontsize=16,color="green",shape="box"];3256[label="ywz631",fontsize=16,color="green",shape="box"];3257[label="ywz634",fontsize=16,color="green",shape="box"];3002[label="primPlusInt (FiniteMap.sizeFM FiniteMap.EmptyFM) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 FiniteMap.EmptyFM)",fontsize=16,color="black",shape="box"];3002 -> 3018[label="",style="solid", color="black", weight=3]; 3003[label="primPlusInt (FiniteMap.sizeFM (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794)) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794))",fontsize=16,color="black",shape="box"];3003 -> 3019[label="",style="solid", color="black", weight=3]; 3363 -> 1120[label="",style="dashed", color="red", weight=0]; 3363[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];3363 -> 3371[label="",style="dashed", color="magenta", weight=3]; 3363 -> 3372[label="",style="dashed", color="magenta", weight=3]; 3364[label="FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179",fontsize=16,color="black",shape="triangle"];3364 -> 3373[label="",style="solid", color="black", weight=3]; 3362[label="ywz244 > ywz243",fontsize=16,color="black",shape="triangle"];3362 -> 3374[label="",style="solid", color="black", weight=3]; 3016[label="FiniteMap.mkBalBranch6MkBalBranch4 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 False",fontsize=16,color="black",shape="box"];3016 -> 3104[label="",style="solid", color="black", weight=3]; 3017[label="FiniteMap.mkBalBranch6MkBalBranch4 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 True",fontsize=16,color="black",shape="box"];3017 -> 3105[label="",style="solid", color="black", weight=3]; 486[label="FiniteMap.splitGT0 Nothing ywz41 ywz42 ywz43 ywz44 Nothing otherwise",fontsize=16,color="black",shape="box"];486 -> 594[label="",style="solid", color="black", weight=3]; 487 -> 595[label="",style="dashed", color="red", weight=0]; 487[label="FiniteMap.mkVBalBranch Nothing ywz41 (FiniteMap.splitGT ywz43 Nothing) ywz44",fontsize=16,color="magenta"];487 -> 596[label="",style="dashed", color="magenta", weight=3]; 907[label="compare1 Nothing ywz40 (Nothing <= ywz40)",fontsize=16,color="burlywood",shape="box"];4880[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];907 -> 4880[label="",style="solid", color="burlywood", weight=9]; 4880 -> 938[label="",style="solid", color="burlywood", weight=3]; 4881[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];907 -> 4881[label="",style="solid", color="burlywood", weight=9]; 4881 -> 939[label="",style="solid", color="burlywood", weight=3]; 908[label="compare1 (Just ywz500) ywz40 (Just ywz500 <= ywz40)",fontsize=16,color="burlywood",shape="box"];4882[label="ywz40/Nothing",fontsize=10,color="white",style="solid",shape="box"];908 -> 4882[label="",style="solid", color="burlywood", weight=9]; 4882 -> 940[label="",style="solid", color="burlywood", weight=3]; 4883[label="ywz40/Just ywz400",fontsize=10,color="white",style="solid",shape="box"];908 -> 4883[label="",style="solid", color="burlywood", weight=9]; 4883 -> 941[label="",style="solid", color="burlywood", weight=3]; 488[label="FiniteMap.splitGT0 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing otherwise",fontsize=16,color="black",shape="box"];488 -> 602[label="",style="solid", color="black", weight=3]; 489 -> 603[label="",style="dashed", color="red", weight=0]; 489[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 (FiniteMap.splitGT ywz43 Nothing) ywz44",fontsize=16,color="magenta"];489 -> 604[label="",style="dashed", color="magenta", weight=3]; 490 -> 69[label="",style="dashed", color="red", weight=0]; 490[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];491[label="ywz440",fontsize=16,color="green",shape="box"];492[label="ywz441",fontsize=16,color="green",shape="box"];493[label="Nothing",fontsize=16,color="green",shape="box"];494[label="ywz442",fontsize=16,color="green",shape="box"];495[label="ywz444",fontsize=16,color="green",shape="box"];496[label="ywz443",fontsize=16,color="green",shape="box"];497[label="FiniteMap.splitGT0 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) otherwise",fontsize=16,color="black",shape="box"];497 -> 615[label="",style="solid", color="black", weight=3]; 498 -> 595[label="",style="dashed", color="red", weight=0]; 498[label="FiniteMap.mkVBalBranch Nothing ywz41 (FiniteMap.splitGT ywz43 (Just ywz500)) ywz44",fontsize=16,color="magenta"];498 -> 597[label="",style="dashed", color="magenta", weight=3]; 499 -> 69[label="",style="dashed", color="red", weight=0]; 499[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];500[label="ywz440",fontsize=16,color="green",shape="box"];501[label="ywz441",fontsize=16,color="green",shape="box"];502[label="Just ywz500",fontsize=16,color="green",shape="box"];503[label="ywz442",fontsize=16,color="green",shape="box"];504[label="ywz444",fontsize=16,color="green",shape="box"];505[label="ywz443",fontsize=16,color="green",shape="box"];909[label="ywz5000 :% ywz5001 == ywz4000 :% ywz4001",fontsize=16,color="black",shape="box"];909 -> 942[label="",style="solid", color="black", weight=3]; 910[label="primEqFloat (Float ywz5000 ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];4884[label="ywz400/Float ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];910 -> 4884[label="",style="solid", color="burlywood", weight=9]; 4884 -> 943[label="",style="solid", color="burlywood", weight=3]; 911[label="primEqDouble (Double ywz5000 ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];4885[label="ywz400/Double ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];911 -> 4885[label="",style="solid", color="burlywood", weight=9]; 4885 -> 944[label="",style="solid", color="burlywood", weight=3]; 912[label="primEqChar (Char ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4886[label="ywz400/Char ywz4000",fontsize=10,color="white",style="solid",shape="box"];912 -> 4886[label="",style="solid", color="burlywood", weight=9]; 4886 -> 945[label="",style="solid", color="burlywood", weight=3]; 913[label="(ywz5000,ywz5001) == (ywz4000,ywz4001)",fontsize=16,color="black",shape="box"];913 -> 946[label="",style="solid", color="black", weight=3]; 914[label="(ywz5000,ywz5001,ywz5002) == (ywz4000,ywz4001,ywz4002)",fontsize=16,color="black",shape="box"];914 -> 947[label="",style="solid", color="black", weight=3]; 915[label="Left ywz5000 == Left ywz4000",fontsize=16,color="black",shape="box"];915 -> 948[label="",style="solid", color="black", weight=3]; 916[label="Left ywz5000 == Right ywz4000",fontsize=16,color="black",shape="box"];916 -> 949[label="",style="solid", color="black", weight=3]; 917[label="Right ywz5000 == Left ywz4000",fontsize=16,color="black",shape="box"];917 -> 950[label="",style="solid", color="black", weight=3]; 918[label="Right ywz5000 == Right ywz4000",fontsize=16,color="black",shape="box"];918 -> 951[label="",style="solid", color="black", weight=3]; 919[label="False == False",fontsize=16,color="black",shape="box"];919 -> 952[label="",style="solid", color="black", weight=3]; 920[label="False == True",fontsize=16,color="black",shape="box"];920 -> 953[label="",style="solid", color="black", weight=3]; 921[label="True == False",fontsize=16,color="black",shape="box"];921 -> 954[label="",style="solid", color="black", weight=3]; 922[label="True == True",fontsize=16,color="black",shape="box"];922 -> 955[label="",style="solid", color="black", weight=3]; 923[label="ywz5000 : ywz5001 == ywz4000 : ywz4001",fontsize=16,color="black",shape="box"];923 -> 956[label="",style="solid", color="black", weight=3]; 924[label="ywz5000 : ywz5001 == []",fontsize=16,color="black",shape="box"];924 -> 957[label="",style="solid", color="black", weight=3]; 925[label="[] == ywz4000 : ywz4001",fontsize=16,color="black",shape="box"];925 -> 958[label="",style="solid", color="black", weight=3]; 926[label="[] == []",fontsize=16,color="black",shape="box"];926 -> 959[label="",style="solid", color="black", weight=3]; 927[label="() == ()",fontsize=16,color="black",shape="box"];927 -> 960[label="",style="solid", color="black", weight=3]; 928[label="Integer ywz5000 == Integer ywz4000",fontsize=16,color="black",shape="box"];928 -> 961[label="",style="solid", color="black", weight=3]; 929[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];929 -> 962[label="",style="solid", color="black", weight=3]; 930[label="Nothing == Just ywz4000",fontsize=16,color="black",shape="box"];930 -> 963[label="",style="solid", color="black", weight=3]; 931[label="Just ywz5000 == Nothing",fontsize=16,color="black",shape="box"];931 -> 964[label="",style="solid", color="black", weight=3]; 932[label="Just ywz5000 == Just ywz4000",fontsize=16,color="black",shape="box"];932 -> 965[label="",style="solid", color="black", weight=3]; 933[label="primEqInt (Pos ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4887[label="ywz5000/Succ ywz50000",fontsize=10,color="white",style="solid",shape="box"];933 -> 4887[label="",style="solid", color="burlywood", weight=9]; 4887 -> 966[label="",style="solid", color="burlywood", weight=3]; 4888[label="ywz5000/Zero",fontsize=10,color="white",style="solid",shape="box"];933 -> 4888[label="",style="solid", color="burlywood", weight=9]; 4888 -> 967[label="",style="solid", color="burlywood", weight=3]; 934[label="primEqInt (Neg ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4889[label="ywz5000/Succ ywz50000",fontsize=10,color="white",style="solid",shape="box"];934 -> 4889[label="",style="solid", color="burlywood", weight=9]; 4889 -> 968[label="",style="solid", color="burlywood", weight=3]; 4890[label="ywz5000/Zero",fontsize=10,color="white",style="solid",shape="box"];934 -> 4890[label="",style="solid", color="burlywood", weight=9]; 4890 -> 969[label="",style="solid", color="burlywood", weight=3]; 533[label="FiniteMap.splitGT0 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) otherwise",fontsize=16,color="black",shape="box"];533 -> 654[label="",style="solid", color="black", weight=3]; 534 -> 603[label="",style="dashed", color="red", weight=0]; 534[label="FiniteMap.mkVBalBranch (Just ywz18) ywz19 (FiniteMap.splitGT ywz21 (Just ywz23)) ywz22",fontsize=16,color="magenta"];534 -> 605[label="",style="dashed", color="magenta", weight=3]; 534 -> 606[label="",style="dashed", color="magenta", weight=3]; 534 -> 607[label="",style="dashed", color="magenta", weight=3]; 534 -> 608[label="",style="dashed", color="magenta", weight=3]; 535[label="GT",fontsize=16,color="green",shape="box"];536 -> 467[label="",style="dashed", color="red", weight=0]; 536[label="compare Nothing Nothing",fontsize=16,color="magenta"];536 -> 655[label="",style="dashed", color="magenta", weight=3]; 536 -> 656[label="",style="dashed", color="magenta", weight=3]; 537[label="FiniteMap.splitLT0 Nothing ywz41 ywz42 ywz43 ywz44 Nothing otherwise",fontsize=16,color="black",shape="box"];537 -> 657[label="",style="solid", color="black", weight=3]; 538 -> 595[label="",style="dashed", color="red", weight=0]; 538[label="FiniteMap.mkVBalBranch Nothing ywz41 ywz43 (FiniteMap.splitLT ywz44 Nothing)",fontsize=16,color="magenta"];538 -> 598[label="",style="dashed", color="magenta", weight=3]; 538 -> 599[label="",style="dashed", color="magenta", weight=3]; 539[label="GT",fontsize=16,color="green",shape="box"];540 -> 467[label="",style="dashed", color="red", weight=0]; 540[label="compare Nothing (Just ywz400)",fontsize=16,color="magenta"];540 -> 658[label="",style="dashed", color="magenta", weight=3]; 540 -> 659[label="",style="dashed", color="magenta", weight=3]; 541[label="FiniteMap.splitLT0 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing otherwise",fontsize=16,color="black",shape="box"];541 -> 660[label="",style="solid", color="black", weight=3]; 542 -> 603[label="",style="dashed", color="red", weight=0]; 542[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 ywz43 (FiniteMap.splitLT ywz44 Nothing)",fontsize=16,color="magenta"];542 -> 609[label="",style="dashed", color="magenta", weight=3]; 542 -> 610[label="",style="dashed", color="magenta", weight=3]; 543 -> 69[label="",style="dashed", color="red", weight=0]; 543[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];544[label="ywz430",fontsize=16,color="green",shape="box"];545[label="ywz431",fontsize=16,color="green",shape="box"];546[label="Nothing",fontsize=16,color="green",shape="box"];547[label="ywz432",fontsize=16,color="green",shape="box"];548[label="ywz434",fontsize=16,color="green",shape="box"];549[label="ywz433",fontsize=16,color="green",shape="box"];551[label="GT",fontsize=16,color="green",shape="box"];552 -> 467[label="",style="dashed", color="red", weight=0]; 552[label="compare (Just ywz500) Nothing",fontsize=16,color="magenta"];552 -> 662[label="",style="dashed", color="magenta", weight=3]; 552 -> 663[label="",style="dashed", color="magenta", weight=3]; 553[label="FiniteMap.splitLT0 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) otherwise",fontsize=16,color="black",shape="box"];553 -> 664[label="",style="solid", color="black", weight=3]; 554 -> 595[label="",style="dashed", color="red", weight=0]; 554[label="FiniteMap.mkVBalBranch Nothing ywz41 ywz43 (FiniteMap.splitLT ywz44 (Just ywz500))",fontsize=16,color="magenta"];554 -> 600[label="",style="dashed", color="magenta", weight=3]; 554 -> 601[label="",style="dashed", color="magenta", weight=3]; 555 -> 69[label="",style="dashed", color="red", weight=0]; 555[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];556[label="ywz430",fontsize=16,color="green",shape="box"];557[label="ywz431",fontsize=16,color="green",shape="box"];558[label="Just ywz500",fontsize=16,color="green",shape="box"];559[label="ywz432",fontsize=16,color="green",shape="box"];560[label="ywz434",fontsize=16,color="green",shape="box"];561[label="ywz433",fontsize=16,color="green",shape="box"];562[label="GT",fontsize=16,color="green",shape="box"];563 -> 467[label="",style="dashed", color="red", weight=0]; 563[label="compare (Just ywz38) (Just ywz33)",fontsize=16,color="magenta"];563 -> 665[label="",style="dashed", color="magenta", weight=3]; 563 -> 666[label="",style="dashed", color="magenta", weight=3]; 564[label="FiniteMap.splitLT0 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) otherwise",fontsize=16,color="black",shape="box"];564 -> 667[label="",style="solid", color="black", weight=3]; 565 -> 603[label="",style="dashed", color="red", weight=0]; 565[label="FiniteMap.mkVBalBranch (Just ywz33) ywz34 ywz36 (FiniteMap.splitLT ywz37 (Just ywz38))",fontsize=16,color="magenta"];565 -> 611[label="",style="dashed", color="magenta", weight=3]; 565 -> 612[label="",style="dashed", color="magenta", weight=3]; 565 -> 613[label="",style="dashed", color="magenta", weight=3]; 565 -> 614[label="",style="dashed", color="magenta", weight=3]; 3370[label="FiniteMap.addToFM0 ywz741 ywz9",fontsize=16,color="black",shape="box"];3370 -> 3391[label="",style="solid", color="black", weight=3]; 3389 -> 69[label="",style="dashed", color="red", weight=0]; 3389[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];3390 -> 69[label="",style="dashed", color="red", weight=0]; 3390[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];2957 -> 2098[label="",style="dashed", color="red", weight=0]; 2957[label="primMulNat ywz500100 (Succ ywz400000)",fontsize=16,color="magenta"];2957 -> 3024[label="",style="dashed", color="magenta", weight=3]; 2957 -> 3025[label="",style="dashed", color="magenta", weight=3]; 2956[label="primPlusNat ywz212 (Succ ywz400000)",fontsize=16,color="burlywood",shape="triangle"];4891[label="ywz212/Succ ywz2120",fontsize=10,color="white",style="solid",shape="box"];2956 -> 4891[label="",style="solid", color="burlywood", weight=9]; 4891 -> 3026[label="",style="solid", color="burlywood", weight=3]; 4892[label="ywz212/Zero",fontsize=10,color="white",style="solid",shape="box"];2956 -> 4892[label="",style="solid", color="burlywood", weight=9]; 4892 -> 3027[label="",style="solid", color="burlywood", weight=3]; 3258[label="primCmpNat ywz50000 ywz40000",fontsize=16,color="burlywood",shape="triangle"];4893[label="ywz50000/Succ ywz500000",fontsize=10,color="white",style="solid",shape="box"];3258 -> 4893[label="",style="solid", color="burlywood", weight=9]; 4893 -> 3273[label="",style="solid", color="burlywood", weight=3]; 4894[label="ywz50000/Zero",fontsize=10,color="white",style="solid",shape="box"];3258 -> 4894[label="",style="solid", color="burlywood", weight=9]; 4894 -> 3274[label="",style="solid", color="burlywood", weight=3]; 3259[label="GT",fontsize=16,color="green",shape="box"];3260[label="ywz40000",fontsize=16,color="green",shape="box"];3261[label="Zero",fontsize=16,color="green",shape="box"];3262 -> 3258[label="",style="dashed", color="red", weight=0]; 3262[label="primCmpNat ywz40000 ywz50000",fontsize=16,color="magenta"];3262 -> 3275[label="",style="dashed", color="magenta", weight=3]; 3262 -> 3276[label="",style="dashed", color="magenta", weight=3]; 3263[label="LT",fontsize=16,color="green",shape="box"];3264[label="Zero",fontsize=16,color="green",shape="box"];3265[label="ywz40000",fontsize=16,color="green",shape="box"];3646[label="ywz4000",fontsize=16,color="green",shape="box"];3647[label="ywz5000",fontsize=16,color="green",shape="box"];2025[label="compare ywz500 ywz400",fontsize=16,color="black",shape="triangle"];2025 -> 2331[label="",style="solid", color="black", weight=3]; 3657[label="ywz4000",fontsize=16,color="green",shape="box"];3658[label="ywz5000",fontsize=16,color="green",shape="box"];2066[label="compare ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4895[label="ywz500/()",fontsize=10,color="white",style="solid",shape="box"];2066 -> 4895[label="",style="solid", color="burlywood", weight=9]; 4895 -> 2447[label="",style="solid", color="burlywood", weight=3]; 3642[label="ywz4000",fontsize=16,color="green",shape="box"];3643[label="ywz5000",fontsize=16,color="green",shape="box"];2019[label="compare ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4896[label="ywz500/ywz5000 :% ywz5001",fontsize=10,color="white",style="solid",shape="box"];2019 -> 4896[label="",style="solid", color="burlywood", weight=9]; 4896 -> 2327[label="",style="solid", color="burlywood", weight=3]; 3653[label="compare3 ywz5000 ywz4000",fontsize=16,color="black",shape="box"];3653 -> 3876[label="",style="solid", color="black", weight=3]; 3654[label="compare3 ywz5000 ywz4000",fontsize=16,color="black",shape="box"];3654 -> 3877[label="",style="solid", color="black", weight=3]; 3651[label="compare3 ywz5000 ywz4000",fontsize=16,color="black",shape="box"];3651 -> 3874[label="",style="solid", color="black", weight=3]; 3648[label="ywz4000",fontsize=16,color="green",shape="box"];3649[label="ywz5000",fontsize=16,color="green",shape="box"];2027[label="compare ywz500 ywz400",fontsize=16,color="black",shape="triangle"];2027 -> 2332[label="",style="solid", color="black", weight=3]; 3655[label="ywz4000",fontsize=16,color="green",shape="box"];3656[label="ywz5000",fontsize=16,color="green",shape="box"];2064[label="compare ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4897[label="ywz500/ywz5000 : ywz5001",fontsize=10,color="white",style="solid",shape="box"];2064 -> 4897[label="",style="solid", color="burlywood", weight=9]; 4897 -> 2445[label="",style="solid", color="burlywood", weight=3]; 4898[label="ywz500/[]",fontsize=10,color="white",style="solid",shape="box"];2064 -> 4898[label="",style="solid", color="burlywood", weight=9]; 4898 -> 2446[label="",style="solid", color="burlywood", weight=3]; 3650[label="compare3 ywz5000 ywz4000",fontsize=16,color="black",shape="box"];3650 -> 3873[label="",style="solid", color="black", weight=3]; 3644[label="ywz4000",fontsize=16,color="green",shape="box"];3645[label="ywz5000",fontsize=16,color="green",shape="box"];2023[label="compare ywz500 ywz400",fontsize=16,color="black",shape="triangle"];2023 -> 2330[label="",style="solid", color="black", weight=3]; 3659[label="ywz4000",fontsize=16,color="green",shape="box"];3660[label="ywz5000",fontsize=16,color="green",shape="box"];2068[label="compare ywz500 ywz400",fontsize=16,color="burlywood",shape="triangle"];4899[label="ywz500/Integer ywz5000",fontsize=10,color="white",style="solid",shape="box"];2068 -> 4899[label="",style="solid", color="burlywood", weight=9]; 4899 -> 2448[label="",style="solid", color="burlywood", weight=3]; 3652[label="compare3 ywz5000 ywz4000",fontsize=16,color="black",shape="box"];3652 -> 3875[label="",style="solid", color="black", weight=3]; 4476 -> 120[label="",style="dashed", color="red", weight=0]; 4476[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4476 -> 4511[label="",style="dashed", color="magenta", weight=3]; 4476 -> 4512[label="",style="dashed", color="magenta", weight=3]; 4477[label="ywz340",fontsize=16,color="green",shape="box"];4478[label="ywz337",fontsize=16,color="green",shape="box"];4479 -> 120[label="",style="dashed", color="red", weight=0]; 4479[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4479 -> 4513[label="",style="dashed", color="magenta", weight=3]; 4479 -> 4514[label="",style="dashed", color="magenta", weight=3]; 4480 -> 120[label="",style="dashed", color="red", weight=0]; 4480[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4480 -> 4515[label="",style="dashed", color="magenta", weight=3]; 4480 -> 4516[label="",style="dashed", color="magenta", weight=3]; 4481 -> 120[label="",style="dashed", color="red", weight=0]; 4481[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4481 -> 4517[label="",style="dashed", color="magenta", weight=3]; 4481 -> 4518[label="",style="dashed", color="magenta", weight=3]; 4482 -> 120[label="",style="dashed", color="red", weight=0]; 4482[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4482 -> 4519[label="",style="dashed", color="magenta", weight=3]; 4482 -> 4520[label="",style="dashed", color="magenta", weight=3]; 4483 -> 120[label="",style="dashed", color="red", weight=0]; 4483[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4483 -> 4521[label="",style="dashed", color="magenta", weight=3]; 4483 -> 4522[label="",style="dashed", color="magenta", weight=3]; 4484 -> 120[label="",style="dashed", color="red", weight=0]; 4484[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4484 -> 4523[label="",style="dashed", color="magenta", weight=3]; 4484 -> 4524[label="",style="dashed", color="magenta", weight=3]; 4485[label="ywz340",fontsize=16,color="green",shape="box"];4486[label="ywz337",fontsize=16,color="green",shape="box"];4487 -> 120[label="",style="dashed", color="red", weight=0]; 4487[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4487 -> 4525[label="",style="dashed", color="magenta", weight=3]; 4487 -> 4526[label="",style="dashed", color="magenta", weight=3]; 4488 -> 120[label="",style="dashed", color="red", weight=0]; 4488[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4488 -> 4527[label="",style="dashed", color="magenta", weight=3]; 4488 -> 4528[label="",style="dashed", color="magenta", weight=3]; 4489 -> 120[label="",style="dashed", color="red", weight=0]; 4489[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4489 -> 4529[label="",style="dashed", color="magenta", weight=3]; 4489 -> 4530[label="",style="dashed", color="magenta", weight=3]; 4490 -> 120[label="",style="dashed", color="red", weight=0]; 4490[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4490 -> 4531[label="",style="dashed", color="magenta", weight=3]; 4490 -> 4532[label="",style="dashed", color="magenta", weight=3]; 4491 -> 120[label="",style="dashed", color="red", weight=0]; 4491[label="compare ywz337 ywz340 == GT",fontsize=16,color="magenta"];4491 -> 4533[label="",style="dashed", color="magenta", weight=3]; 4491 -> 4534[label="",style="dashed", color="magenta", weight=3]; 4492[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM0 ywz375 ywz376 ywz377 ywz378 ywz379 ywz372 otherwise)",fontsize=16,color="black",shape="box"];4492 -> 4535[label="",style="solid", color="black", weight=3]; 4493 -> 4336[label="",style="dashed", color="red", weight=0]; 4493[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM ywz379 ywz372)",fontsize=16,color="magenta"];4493 -> 4536[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4537[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4538[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4539[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4540[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4541[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4542[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4543[label="",style="dashed", color="magenta", weight=3]; 4493 -> 4544[label="",style="dashed", color="magenta", weight=3]; 4497[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz332 ywz333 ywz334 ywz335 ywz336) ywz337 ywz338 ywz339 ywz338 ywz339 Nothing",fontsize=16,color="black",shape="box"];4497 -> 4548[label="",style="solid", color="black", weight=3]; 4498[label="ywz3430",fontsize=16,color="green",shape="box"];4499[label="ywz334",fontsize=16,color="green",shape="box"];4500[label="ywz336",fontsize=16,color="green",shape="box"];4501[label="ywz339",fontsize=16,color="green",shape="box"];4502[label="ywz335",fontsize=16,color="green",shape="box"];4503[label="ywz333",fontsize=16,color="green",shape="box"];4504[label="ywz3434",fontsize=16,color="green",shape="box"];4505[label="ywz3431",fontsize=16,color="green",shape="box"];4506[label="ywz332",fontsize=16,color="green",shape="box"];4507[label="ywz3432",fontsize=16,color="green",shape="box"];4508[label="ywz337",fontsize=16,color="green",shape="box"];4509[label="ywz338",fontsize=16,color="green",shape="box"];4510[label="ywz3433",fontsize=16,color="green",shape="box"];4494[label="FiniteMap.mkBranchUnbox ywz350 ywz351 ywz348 (Pos (Succ Zero) + FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348 + FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348)",fontsize=16,color="black",shape="box"];4494 -> 4545[label="",style="solid", color="black", weight=3]; 3267[label="ywz740",fontsize=16,color="green",shape="box"];3018 -> 3313[label="",style="dashed", color="red", weight=0]; 3018[label="primPlusInt (Pos Zero) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 FiniteMap.EmptyFM)",fontsize=16,color="magenta"];3018 -> 3314[label="",style="dashed", color="magenta", weight=3]; 3018 -> 3315[label="",style="dashed", color="magenta", weight=3]; 3019[label="primPlusInt ywz1792 (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794))",fontsize=16,color="burlywood",shape="box"];4900[label="ywz1792/Pos ywz17920",fontsize=10,color="white",style="solid",shape="box"];3019 -> 4900[label="",style="solid", color="burlywood", weight=9]; 4900 -> 3107[label="",style="solid", color="burlywood", weight=3]; 4901[label="ywz1792/Neg ywz17920",fontsize=10,color="white",style="solid",shape="box"];3019 -> 4901[label="",style="solid", color="burlywood", weight=9]; 4901 -> 3108[label="",style="solid", color="burlywood", weight=3]; 3371 -> 3368[label="",style="dashed", color="red", weight=0]; 3371[label="FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];3372 -> 2811[label="",style="dashed", color="red", weight=0]; 3372[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];3373 -> 3109[label="",style="dashed", color="red", weight=0]; 3373[label="FiniteMap.sizeFM ywz444",fontsize=16,color="magenta"];3373 -> 3392[label="",style="dashed", color="magenta", weight=3]; 3374 -> 120[label="",style="dashed", color="red", weight=0]; 3374[label="compare ywz244 ywz243 == GT",fontsize=16,color="magenta"];3374 -> 3393[label="",style="dashed", color="magenta", weight=3]; 3374 -> 3394[label="",style="dashed", color="magenta", weight=3]; 3104 -> 3350[label="",style="dashed", color="red", weight=0]; 3104[label="FiniteMap.mkBalBranch6MkBalBranch3 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 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698[label="",style="solid", color="black", weight=3]; 596 -> 232[label="",style="dashed", color="red", weight=0]; 596[label="FiniteMap.splitGT ywz43 Nothing",fontsize=16,color="magenta"];596 -> 699[label="",style="dashed", color="magenta", weight=3]; 595[label="FiniteMap.mkVBalBranch Nothing ywz41 ywz71 ywz44",fontsize=16,color="burlywood",shape="triangle"];4904[label="ywz71/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];595 -> 4904[label="",style="solid", color="burlywood", weight=9]; 4904 -> 700[label="",style="solid", color="burlywood", weight=3]; 4905[label="ywz71/FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=10,color="white",style="solid",shape="box"];595 -> 4905[label="",style="solid", color="burlywood", weight=9]; 4905 -> 701[label="",style="solid", color="burlywood", weight=3]; 938[label="compare1 Nothing Nothing (Nothing <= Nothing)",fontsize=16,color="black",shape="box"];938 -> 987[label="",style="solid", color="black", weight=3]; 939[label="compare1 Nothing (Just ywz400) (Nothing <= Just ywz400)",fontsize=16,color="black",shape="box"];939 -> 988[label="",style="solid", color="black", weight=3]; 940[label="compare1 (Just ywz500) Nothing (Just ywz500 <= Nothing)",fontsize=16,color="black",shape="box"];940 -> 989[label="",style="solid", color="black", weight=3]; 941[label="compare1 (Just ywz500) (Just ywz400) (Just ywz500 <= Just ywz400)",fontsize=16,color="black",shape="box"];941 -> 990[label="",style="solid", color="black", weight=3]; 602[label="FiniteMap.splitGT0 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];602 -> 702[label="",style="solid", color="black", weight=3]; 604 -> 232[label="",style="dashed", color="red", weight=0]; 604[label="FiniteMap.splitGT ywz43 Nothing",fontsize=16,color="magenta"];604 -> 703[label="",style="dashed", color="magenta", weight=3]; 603[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 ywz72 ywz44",fontsize=16,color="burlywood",shape="triangle"];4906[label="ywz72/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];603 -> 4906[label="",style="solid", color="burlywood", weight=9]; 4906 -> 704[label="",style="solid", color="burlywood", weight=3]; 4907[label="ywz72/FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=10,color="white",style="solid",shape="box"];603 -> 4907[label="",style="solid", color="burlywood", weight=9]; 4907 -> 705[label="",style="solid", color="burlywood", weight=3]; 615[label="FiniteMap.splitGT0 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];615 -> 706[label="",style="solid", color="black", weight=3]; 597 -> 284[label="",style="dashed", color="red", weight=0]; 597[label="FiniteMap.splitGT ywz43 (Just ywz500)",fontsize=16,color="magenta"];597 -> 707[label="",style="dashed", color="magenta", weight=3]; 942 -> 1101[label="",style="dashed", color="red", weight=0]; 942[label="ywz5000 == ywz4000 && ywz5001 == ywz4001",fontsize=16,color="magenta"];942 -> 1102[label="",style="dashed", color="magenta", weight=3]; 942 -> 1103[label="",style="dashed", color="magenta", weight=3]; 943[label="primEqFloat (Float ywz5000 ywz5001) (Float ywz4000 ywz4001)",fontsize=16,color="black",shape="box"];943 -> 1001[label="",style="solid", color="black", weight=3]; 944[label="primEqDouble (Double ywz5000 ywz5001) (Double ywz4000 ywz4001)",fontsize=16,color="black",shape="box"];944 -> 1002[label="",style="solid", color="black", weight=3]; 945[label="primEqChar (Char ywz5000) (Char ywz4000)",fontsize=16,color="black",shape="box"];945 -> 1003[label="",style="solid", color="black", weight=3]; 946 -> 1101[label="",style="dashed", color="red", weight=0]; 946[label="ywz5000 == ywz4000 && ywz5001 == ywz4001",fontsize=16,color="magenta"];946 -> 1104[label="",style="dashed", color="magenta", weight=3]; 946 -> 1105[label="",style="dashed", color="magenta", weight=3]; 947 -> 1101[label="",style="dashed", color="red", weight=0]; 947[label="ywz5000 == ywz4000 && ywz5001 == ywz4001 && ywz5002 == ywz4002",fontsize=16,color="magenta"];947 -> 1106[label="",style="dashed", color="magenta", weight=3]; 947 -> 1107[label="",style="dashed", color="magenta", weight=3]; 948[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];4908[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4908[label="",style="solid", color="blue", weight=9]; 4908 -> 1015[label="",style="solid", color="blue", weight=3]; 4909[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4909[label="",style="solid", color="blue", weight=9]; 4909 -> 1016[label="",style="solid", color="blue", weight=3]; 4910[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4910[label="",style="solid", color="blue", weight=9]; 4910 -> 1017[label="",style="solid", color="blue", weight=3]; 4911[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4911[label="",style="solid", color="blue", weight=9]; 4911 -> 1018[label="",style="solid", color="blue", weight=3]; 4912[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4912[label="",style="solid", color="blue", weight=9]; 4912 -> 1019[label="",style="solid", color="blue", weight=3]; 4913[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4913[label="",style="solid", color="blue", weight=9]; 4913 -> 1020[label="",style="solid", color="blue", weight=3]; 4914[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4914[label="",style="solid", color="blue", weight=9]; 4914 -> 1021[label="",style="solid", color="blue", weight=3]; 4915[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4915[label="",style="solid", color="blue", weight=9]; 4915 -> 1022[label="",style="solid", color="blue", weight=3]; 4916[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4916[label="",style="solid", color="blue", weight=9]; 4916 -> 1023[label="",style="solid", color="blue", weight=3]; 4917[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4917[label="",style="solid", color="blue", weight=9]; 4917 -> 1024[label="",style="solid", color="blue", weight=3]; 4918[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4918[label="",style="solid", color="blue", weight=9]; 4918 -> 1025[label="",style="solid", color="blue", weight=3]; 4919[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4919[label="",style="solid", color="blue", weight=9]; 4919 -> 1026[label="",style="solid", color="blue", weight=3]; 4920[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4920[label="",style="solid", color="blue", weight=9]; 4920 -> 1027[label="",style="solid", color="blue", weight=3]; 4921[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];948 -> 4921[label="",style="solid", color="blue", weight=9]; 4921 -> 1028[label="",style="solid", color="blue", weight=3]; 949[label="False",fontsize=16,color="green",shape="box"];950[label="False",fontsize=16,color="green",shape="box"];951[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];4922[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4922[label="",style="solid", color="blue", weight=9]; 4922 -> 1029[label="",style="solid", color="blue", weight=3]; 4923[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4923[label="",style="solid", color="blue", weight=9]; 4923 -> 1030[label="",style="solid", color="blue", weight=3]; 4924[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4924[label="",style="solid", color="blue", weight=9]; 4924 -> 1031[label="",style="solid", color="blue", weight=3]; 4925[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4925[label="",style="solid", color="blue", weight=9]; 4925 -> 1032[label="",style="solid", color="blue", weight=3]; 4926[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4926[label="",style="solid", color="blue", weight=9]; 4926 -> 1033[label="",style="solid", color="blue", weight=3]; 4927[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4927[label="",style="solid", color="blue", weight=9]; 4927 -> 1034[label="",style="solid", color="blue", weight=3]; 4928[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4928[label="",style="solid", color="blue", weight=9]; 4928 -> 1035[label="",style="solid", color="blue", weight=3]; 4929[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4929[label="",style="solid", color="blue", weight=9]; 4929 -> 1036[label="",style="solid", color="blue", weight=3]; 4930[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4930[label="",style="solid", color="blue", weight=9]; 4930 -> 1037[label="",style="solid", color="blue", weight=3]; 4931[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4931[label="",style="solid", color="blue", weight=9]; 4931 -> 1038[label="",style="solid", color="blue", weight=3]; 4932[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4932[label="",style="solid", color="blue", weight=9]; 4932 -> 1039[label="",style="solid", color="blue", weight=3]; 4933[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4933[label="",style="solid", color="blue", weight=9]; 4933 -> 1040[label="",style="solid", color="blue", weight=3]; 4934[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4934[label="",style="solid", color="blue", weight=9]; 4934 -> 1041[label="",style="solid", color="blue", weight=3]; 4935[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];951 -> 4935[label="",style="solid", color="blue", weight=9]; 4935 -> 1042[label="",style="solid", color="blue", weight=3]; 952[label="True",fontsize=16,color="green",shape="box"];953[label="False",fontsize=16,color="green",shape="box"];954[label="False",fontsize=16,color="green",shape="box"];955[label="True",fontsize=16,color="green",shape="box"];956 -> 1101[label="",style="dashed", color="red", weight=0]; 956[label="ywz5000 == ywz4000 && ywz5001 == ywz4001",fontsize=16,color="magenta"];956 -> 1108[label="",style="dashed", color="magenta", weight=3]; 956 -> 1109[label="",style="dashed", color="magenta", weight=3]; 957[label="False",fontsize=16,color="green",shape="box"];958[label="False",fontsize=16,color="green",shape="box"];959[label="True",fontsize=16,color="green",shape="box"];960[label="True",fontsize=16,color="green",shape="box"];961 -> 903[label="",style="dashed", color="red", weight=0]; 961[label="primEqInt ywz5000 ywz4000",fontsize=16,color="magenta"];961 -> 1043[label="",style="dashed", color="magenta", weight=3]; 961 -> 1044[label="",style="dashed", color="magenta", weight=3]; 962[label="True",fontsize=16,color="green",shape="box"];963[label="False",fontsize=16,color="green",shape="box"];964[label="False",fontsize=16,color="green",shape="box"];965[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];4936[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4936[label="",style="solid", color="blue", weight=9]; 4936 -> 1045[label="",style="solid", color="blue", weight=3]; 4937[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4937[label="",style="solid", color="blue", weight=9]; 4937 -> 1046[label="",style="solid", color="blue", weight=3]; 4938[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4938[label="",style="solid", color="blue", weight=9]; 4938 -> 1047[label="",style="solid", color="blue", weight=3]; 4939[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4939[label="",style="solid", color="blue", weight=9]; 4939 -> 1048[label="",style="solid", color="blue", weight=3]; 4940[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4940[label="",style="solid", color="blue", weight=9]; 4940 -> 1049[label="",style="solid", color="blue", weight=3]; 4941[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4941[label="",style="solid", color="blue", weight=9]; 4941 -> 1050[label="",style="solid", color="blue", weight=3]; 4942[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4942[label="",style="solid", color="blue", weight=9]; 4942 -> 1051[label="",style="solid", color="blue", weight=3]; 4943[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4943[label="",style="solid", color="blue", weight=9]; 4943 -> 1052[label="",style="solid", color="blue", weight=3]; 4944[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4944[label="",style="solid", color="blue", weight=9]; 4944 -> 1053[label="",style="solid", color="blue", weight=3]; 4945[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4945[label="",style="solid", color="blue", weight=9]; 4945 -> 1054[label="",style="solid", color="blue", weight=3]; 4946[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4946[label="",style="solid", color="blue", weight=9]; 4946 -> 1055[label="",style="solid", color="blue", weight=3]; 4947[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4947[label="",style="solid", color="blue", weight=9]; 4947 -> 1056[label="",style="solid", color="blue", weight=3]; 4948[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4948[label="",style="solid", color="blue", weight=9]; 4948 -> 1057[label="",style="solid", color="blue", weight=3]; 4949[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];965 -> 4949[label="",style="solid", color="blue", weight=9]; 4949 -> 1058[label="",style="solid", color="blue", weight=3]; 966[label="primEqInt (Pos (Succ ywz50000)) ywz400",fontsize=16,color="burlywood",shape="box"];4950[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];966 -> 4950[label="",style="solid", color="burlywood", weight=9]; 4950 -> 1059[label="",style="solid", color="burlywood", weight=3]; 4951[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];966 -> 4951[label="",style="solid", color="burlywood", weight=9]; 4951 -> 1060[label="",style="solid", color="burlywood", weight=3]; 967[label="primEqInt (Pos Zero) ywz400",fontsize=16,color="burlywood",shape="box"];4952[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];967 -> 4952[label="",style="solid", color="burlywood", weight=9]; 4952 -> 1061[label="",style="solid", color="burlywood", weight=3]; 4953[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];967 -> 4953[label="",style="solid", color="burlywood", weight=9]; 4953 -> 1062[label="",style="solid", color="burlywood", weight=3]; 968[label="primEqInt (Neg (Succ ywz50000)) ywz400",fontsize=16,color="burlywood",shape="box"];4954[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];968 -> 4954[label="",style="solid", color="burlywood", weight=9]; 4954 -> 1063[label="",style="solid", color="burlywood", weight=3]; 4955[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];968 -> 4955[label="",style="solid", color="burlywood", weight=9]; 4955 -> 1064[label="",style="solid", color="burlywood", weight=3]; 969[label="primEqInt (Neg Zero) ywz400",fontsize=16,color="burlywood",shape="box"];4956[label="ywz400/Pos ywz4000",fontsize=10,color="white",style="solid",shape="box"];969 -> 4956[label="",style="solid", color="burlywood", weight=9]; 4956 -> 1065[label="",style="solid", color="burlywood", weight=3]; 4957[label="ywz400/Neg ywz4000",fontsize=10,color="white",style="solid",shape="box"];969 -> 4957[label="",style="solid", color="burlywood", weight=9]; 4957 -> 1066[label="",style="solid", color="burlywood", weight=3]; 654[label="FiniteMap.splitGT0 (Just ywz18) ywz19 ywz20 ywz21 ywz22 (Just ywz23) True",fontsize=16,color="black",shape="box"];654 -> 800[label="",style="solid", color="black", weight=3]; 605[label="ywz18",fontsize=16,color="green",shape="box"];606[label="ywz19",fontsize=16,color="green",shape="box"];607[label="ywz22",fontsize=16,color="green",shape="box"];608 -> 284[label="",style="dashed", color="red", weight=0]; 608[label="FiniteMap.splitGT ywz21 (Just ywz23)",fontsize=16,color="magenta"];608 -> 801[label="",style="dashed", color="magenta", weight=3]; 608 -> 802[label="",style="dashed", color="magenta", weight=3]; 655[label="Nothing",fontsize=16,color="green",shape="box"];656[label="Nothing",fontsize=16,color="green",shape="box"];657[label="FiniteMap.splitLT0 Nothing ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];657 -> 803[label="",style="solid", color="black", weight=3]; 598 -> 199[label="",style="dashed", color="red", weight=0]; 598[label="FiniteMap.splitLT ywz44 Nothing",fontsize=16,color="magenta"];598 -> 804[label="",style="dashed", color="magenta", weight=3]; 599[label="ywz43",fontsize=16,color="green",shape="box"];658[label="Just ywz400",fontsize=16,color="green",shape="box"];659[label="Nothing",fontsize=16,color="green",shape="box"];660[label="FiniteMap.splitLT0 (Just ywz400) ywz41 ywz42 ywz43 ywz44 Nothing True",fontsize=16,color="black",shape="box"];660 -> 805[label="",style="solid", color="black", weight=3]; 609 -> 199[label="",style="dashed", color="red", weight=0]; 609[label="FiniteMap.splitLT ywz44 Nothing",fontsize=16,color="magenta"];609 -> 806[label="",style="dashed", color="magenta", weight=3]; 610[label="ywz43",fontsize=16,color="green",shape="box"];662[label="Nothing",fontsize=16,color="green",shape="box"];663[label="Just ywz500",fontsize=16,color="green",shape="box"];664[label="FiniteMap.splitLT0 Nothing ywz41 ywz42 ywz43 ywz44 (Just ywz500) True",fontsize=16,color="black",shape="box"];664 -> 807[label="",style="solid", color="black", weight=3]; 600 -> 221[label="",style="dashed", color="red", weight=0]; 600[label="FiniteMap.splitLT ywz44 (Just ywz500)",fontsize=16,color="magenta"];600 -> 808[label="",style="dashed", color="magenta", weight=3]; 601[label="ywz43",fontsize=16,color="green",shape="box"];665[label="Just ywz33",fontsize=16,color="green",shape="box"];666[label="Just ywz38",fontsize=16,color="green",shape="box"];667[label="FiniteMap.splitLT0 (Just ywz33) ywz34 ywz35 ywz36 ywz37 (Just ywz38) True",fontsize=16,color="black",shape="box"];667 -> 809[label="",style="solid", color="black", weight=3]; 611[label="ywz33",fontsize=16,color="green",shape="box"];612[label="ywz34",fontsize=16,color="green",shape="box"];613 -> 221[label="",style="dashed", color="red", weight=0]; 613[label="FiniteMap.splitLT ywz37 (Just ywz38)",fontsize=16,color="magenta"];613 -> 810[label="",style="dashed", color="magenta", weight=3]; 613 -> 811[label="",style="dashed", color="magenta", weight=3]; 614[label="ywz36",fontsize=16,color="green",shape="box"];3391[label="ywz9",fontsize=16,color="green",shape="box"];3024[label="Succ ywz400000",fontsize=16,color="green",shape="box"];3025[label="ywz500100",fontsize=16,color="green",shape="box"];3026[label="primPlusNat (Succ ywz2120) (Succ ywz400000)",fontsize=16,color="black",shape="box"];3026 -> 3113[label="",style="solid", color="black", weight=3]; 3027[label="primPlusNat Zero (Succ ywz400000)",fontsize=16,color="black",shape="box"];3027 -> 3114[label="",style="solid", color="black", weight=3]; 3273[label="primCmpNat (Succ ywz500000) ywz40000",fontsize=16,color="burlywood",shape="box"];4958[label="ywz40000/Succ ywz400000",fontsize=10,color="white",style="solid",shape="box"];3273 -> 4958[label="",style="solid", color="burlywood", weight=9]; 4958 -> 3304[label="",style="solid", color="burlywood", weight=3]; 4959[label="ywz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];3273 -> 4959[label="",style="solid", color="burlywood", weight=9]; 4959 -> 3305[label="",style="solid", color="burlywood", weight=3]; 3274[label="primCmpNat Zero ywz40000",fontsize=16,color="burlywood",shape="box"];4960[label="ywz40000/Succ ywz400000",fontsize=10,color="white",style="solid",shape="box"];3274 -> 4960[label="",style="solid", color="burlywood", weight=9]; 4960 -> 3306[label="",style="solid", color="burlywood", weight=3]; 4961[label="ywz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];3274 -> 4961[label="",style="solid", color="burlywood", weight=9]; 4961 -> 3307[label="",style="solid", color="burlywood", weight=3]; 3275[label="ywz50000",fontsize=16,color="green",shape="box"];3276[label="ywz40000",fontsize=16,color="green",shape="box"];2331[label="primCmpDouble ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4962[label="ywz500/Double ywz5000 ywz5001",fontsize=10,color="white",style="solid",shape="box"];2331 -> 4962[label="",style="solid", color="burlywood", weight=9]; 4962 -> 2860[label="",style="solid", color="burlywood", weight=3]; 2447[label="compare () ywz400",fontsize=16,color="burlywood",shape="box"];4963[label="ywz400/()",fontsize=10,color="white",style="solid",shape="box"];2447 -> 4963[label="",style="solid", color="burlywood", weight=9]; 4963 -> 2952[label="",style="solid", color="burlywood", weight=3]; 2327[label="compare (ywz5000 :% ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];4964[label="ywz400/ywz4000 :% ywz4001",fontsize=10,color="white",style="solid",shape="box"];2327 -> 4964[label="",style="solid", color="burlywood", weight=9]; 4964 -> 2858[label="",style="solid", color="burlywood", weight=3]; 3876 -> 3981[label="",style="dashed", color="red", weight=0]; 3876[label="compare2 ywz5000 ywz4000 (ywz5000 == ywz4000)",fontsize=16,color="magenta"];3876 -> 3982[label="",style="dashed", color="magenta", weight=3]; 3877 -> 3983[label="",style="dashed", color="red", weight=0]; 3877[label="compare2 ywz5000 ywz4000 (ywz5000 == ywz4000)",fontsize=16,color="magenta"];3877 -> 3984[label="",style="dashed", color="magenta", weight=3]; 3874 -> 3977[label="",style="dashed", color="red", weight=0]; 3874[label="compare2 ywz5000 ywz4000 (ywz5000 == ywz4000)",fontsize=16,color="magenta"];3874 -> 3978[label="",style="dashed", color="magenta", weight=3]; 2332[label="primCmpChar ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4965[label="ywz500/Char ywz5000",fontsize=10,color="white",style="solid",shape="box"];2332 -> 4965[label="",style="solid", color="burlywood", weight=9]; 4965 -> 2861[label="",style="solid", color="burlywood", weight=3]; 2445[label="compare (ywz5000 : ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];4966[label="ywz400/ywz4000 : ywz4001",fontsize=10,color="white",style="solid",shape="box"];2445 -> 4966[label="",style="solid", color="burlywood", weight=9]; 4966 -> 2948[label="",style="solid", color="burlywood", weight=3]; 4967[label="ywz400/[]",fontsize=10,color="white",style="solid",shape="box"];2445 -> 4967[label="",style="solid", color="burlywood", weight=9]; 4967 -> 2949[label="",style="solid", color="burlywood", weight=3]; 2446[label="compare [] ywz400",fontsize=16,color="burlywood",shape="box"];4968[label="ywz400/ywz4000 : ywz4001",fontsize=10,color="white",style="solid",shape="box"];2446 -> 4968[label="",style="solid", color="burlywood", weight=9]; 4968 -> 2950[label="",style="solid", color="burlywood", weight=3]; 4969[label="ywz400/[]",fontsize=10,color="white",style="solid",shape="box"];2446 -> 4969[label="",style="solid", color="burlywood", weight=9]; 4969 -> 2951[label="",style="solid", color="burlywood", weight=3]; 3873 -> 3975[label="",style="dashed", color="red", weight=0]; 3873[label="compare2 ywz5000 ywz4000 (ywz5000 == ywz4000)",fontsize=16,color="magenta"];3873 -> 3976[label="",style="dashed", color="magenta", weight=3]; 2330[label="primCmpFloat ywz500 ywz400",fontsize=16,color="burlywood",shape="box"];4970[label="ywz500/Float ywz5000 ywz5001",fontsize=10,color="white",style="solid",shape="box"];2330 -> 4970[label="",style="solid", color="burlywood", weight=9]; 4970 -> 2859[label="",style="solid", color="burlywood", weight=3]; 2448[label="compare (Integer ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];4971[label="ywz400/Integer ywz4000",fontsize=10,color="white",style="solid",shape="box"];2448 -> 4971[label="",style="solid", color="burlywood", weight=9]; 4971 -> 2953[label="",style="solid", color="burlywood", weight=3]; 3875 -> 3979[label="",style="dashed", color="red", weight=0]; 3875[label="compare2 ywz5000 ywz4000 (ywz5000 == ywz4000)",fontsize=16,color="magenta"];3875 -> 3980[label="",style="dashed", color="magenta", weight=3]; 4511[label="GT",fontsize=16,color="green",shape="box"];4512 -> 2025[label="",style="dashed", color="red", weight=0]; 4512[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4512 -> 4549[label="",style="dashed", color="magenta", weight=3]; 4512 -> 4550[label="",style="dashed", color="magenta", weight=3]; 4513[label="GT",fontsize=16,color="green",shape="box"];4514 -> 2066[label="",style="dashed", color="red", weight=0]; 4514[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4514 -> 4551[label="",style="dashed", color="magenta", weight=3]; 4514 -> 4552[label="",style="dashed", color="magenta", weight=3]; 4515[label="GT",fontsize=16,color="green",shape="box"];4516 -> 2019[label="",style="dashed", color="red", weight=0]; 4516[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4516 -> 4553[label="",style="dashed", color="magenta", weight=3]; 4516 -> 4554[label="",style="dashed", color="magenta", weight=3]; 4517[label="GT",fontsize=16,color="green",shape="box"];4518 -> 3538[label="",style="dashed", color="red", weight=0]; 4518[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4518 -> 4555[label="",style="dashed", color="magenta", weight=3]; 4518 -> 4556[label="",style="dashed", color="magenta", weight=3]; 4519[label="GT",fontsize=16,color="green",shape="box"];4520 -> 3540[label="",style="dashed", color="red", weight=0]; 4520[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4520 -> 4557[label="",style="dashed", color="magenta", weight=3]; 4520 -> 4558[label="",style="dashed", color="magenta", weight=3]; 4521[label="GT",fontsize=16,color="green",shape="box"];4522 -> 3534[label="",style="dashed", color="red", weight=0]; 4522[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4522 -> 4559[label="",style="dashed", color="magenta", weight=3]; 4522 -> 4560[label="",style="dashed", color="magenta", weight=3]; 4523[label="GT",fontsize=16,color="green",shape="box"];4524 -> 2027[label="",style="dashed", color="red", weight=0]; 4524[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4524 -> 4561[label="",style="dashed", color="magenta", weight=3]; 4524 -> 4562[label="",style="dashed", color="magenta", weight=3]; 4525[label="GT",fontsize=16,color="green",shape="box"];4526 -> 2064[label="",style="dashed", color="red", weight=0]; 4526[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4526 -> 4563[label="",style="dashed", color="magenta", weight=3]; 4526 -> 4564[label="",style="dashed", color="magenta", weight=3]; 4527[label="GT",fontsize=16,color="green",shape="box"];4528 -> 3532[label="",style="dashed", color="red", weight=0]; 4528[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4528 -> 4565[label="",style="dashed", color="magenta", weight=3]; 4528 -> 4566[label="",style="dashed", color="magenta", weight=3]; 4529[label="GT",fontsize=16,color="green",shape="box"];4530 -> 2023[label="",style="dashed", color="red", weight=0]; 4530[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4530 -> 4567[label="",style="dashed", color="magenta", weight=3]; 4530 -> 4568[label="",style="dashed", color="magenta", weight=3]; 4531[label="GT",fontsize=16,color="green",shape="box"];4532 -> 2068[label="",style="dashed", color="red", weight=0]; 4532[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4532 -> 4569[label="",style="dashed", color="magenta", weight=3]; 4532 -> 4570[label="",style="dashed", color="magenta", weight=3]; 4533[label="GT",fontsize=16,color="green",shape="box"];4534 -> 3536[label="",style="dashed", color="red", weight=0]; 4534[label="compare ywz337 ywz340",fontsize=16,color="magenta"];4534 -> 4571[label="",style="dashed", color="magenta", weight=3]; 4534 -> 4572[label="",style="dashed", color="magenta", weight=3]; 4535[label="FiniteMap.plusFM_CNew_elt0 (FiniteMap.Branch ywz367 ywz368 ywz369 ywz370 ywz371) ywz372 ywz373 ywz374 ywz373 ywz374 (FiniteMap.lookupFM0 ywz375 ywz376 ywz377 ywz378 ywz379 ywz372 True)",fontsize=16,color="black",shape="box"];4535 -> 4573[label="",style="solid", color="black", weight=3]; 4536[label="ywz368",fontsize=16,color="green",shape="box"];4537[label="ywz367",fontsize=16,color="green",shape="box"];4538[label="ywz379",fontsize=16,color="green",shape="box"];4539[label="ywz369",fontsize=16,color="green",shape="box"];4540[label="ywz371",fontsize=16,color="green",shape="box"];4541[label="ywz373",fontsize=16,color="green",shape="box"];4542[label="ywz372",fontsize=16,color="green",shape="box"];4543[label="ywz374",fontsize=16,color="green",shape="box"];4544[label="ywz370",fontsize=16,color="green",shape="box"];4548[label="ywz338",fontsize=16,color="green",shape="box"];4545[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348 + FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348",fontsize=16,color="black",shape="box"];4545 -> 4574[label="",style="solid", color="black", weight=3]; 3314[label="FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];3314 -> 3327[label="",style="solid", color="black", weight=3]; 3315[label="Zero",fontsize=16,color="green",shape="box"];3313[label="primPlusInt (Pos ywz17920) ywz239",fontsize=16,color="burlywood",shape="triangle"];4972[label="ywz239/Pos ywz2390",fontsize=10,color="white",style="solid",shape="box"];3313 -> 4972[label="",style="solid", color="burlywood", weight=9]; 4972 -> 3328[label="",style="solid", color="burlywood", weight=3]; 4973[label="ywz239/Neg ywz2390",fontsize=10,color="white",style="solid",shape="box"];3313 -> 4973[label="",style="solid", color="burlywood", weight=9]; 4973 -> 3329[label="",style="solid", color="burlywood", weight=3]; 3107[label="primPlusInt (Pos ywz17920) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 (Pos ywz17920) ywz1793 ywz1794))",fontsize=16,color="black",shape="box"];3107 -> 3282[label="",style="solid", color="black", weight=3]; 3108[label="primPlusInt (Neg ywz17920) (FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 (Neg ywz17920) ywz1793 ywz1794))",fontsize=16,color="black",shape="box"];3108 -> 3283[label="",style="solid", color="black", weight=3]; 3368[label="FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179",fontsize=16,color="black",shape="triangle"];3368 -> 3379[label="",style="solid", color="black", weight=3]; 3392[label="ywz444",fontsize=16,color="green",shape="box"];3109[label="FiniteMap.sizeFM ywz179",fontsize=16,color="burlywood",shape="triangle"];4974[label="ywz179/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];3109 -> 4974[label="",style="solid", color="burlywood", weight=9]; 4974 -> 3284[label="",style="solid", color="burlywood", weight=3]; 4975[label="ywz179/FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794",fontsize=10,color="white",style="solid",shape="box"];3109 -> 4975[label="",style="solid", color="burlywood", weight=9]; 4975 -> 3285[label="",style="solid", color="burlywood", weight=3]; 3393[label="GT",fontsize=16,color="green",shape="box"];3394 -> 2084[label="",style="dashed", color="red", weight=0]; 3394[label="compare ywz244 ywz243",fontsize=16,color="magenta"];3394 -> 3409[label="",style="dashed", color="magenta", weight=3]; 3394 -> 3410[label="",style="dashed", color="magenta", weight=3]; 3351 -> 3362[label="",style="dashed", color="red", weight=0]; 3351[label="FiniteMap.mkBalBranch6Size_l ywz440 ywz441 ywz444 ywz179 > FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];3351 -> 3367[label="",style="dashed", color="magenta", weight=3]; 3351 -> 3368[label="",style="dashed", color="magenta", weight=3]; 3350[label="FiniteMap.mkBalBranch6MkBalBranch3 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 ywz241",fontsize=16,color="burlywood",shape="triangle"];4976[label="ywz241/False",fontsize=10,color="white",style="solid",shape="box"];3350 -> 4976[label="",style="solid", color="burlywood", weight=9]; 4976 -> 3375[label="",style="solid", color="burlywood", weight=3]; 4977[label="ywz241/True",fontsize=10,color="white",style="solid",shape="box"];3350 -> 4977[label="",style="solid", color="burlywood", weight=9]; 4977 -> 3376[label="",style="solid", color="burlywood", weight=3]; 3278[label="FiniteMap.mkBalBranch6MkBalBranch0 ywz440 ywz441 FiniteMap.EmptyFM ywz179 ywz179 FiniteMap.EmptyFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];3278 -> 3309[label="",style="solid", color="black", weight=3]; 3279[label="FiniteMap.mkBalBranch6MkBalBranch0 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444)",fontsize=16,color="black",shape="box"];3279 -> 3310[label="",style="solid", color="black", weight=3]; 698[label="ywz44",fontsize=16,color="green",shape="box"];699[label="ywz43",fontsize=16,color="green",shape="box"];700[label="FiniteMap.mkVBalBranch Nothing ywz41 FiniteMap.EmptyFM ywz44",fontsize=16,color="black",shape="box"];700 -> 1086[label="",style="solid", color="black", weight=3]; 701[label="FiniteMap.mkVBalBranch Nothing ywz41 (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) ywz44",fontsize=16,color="burlywood",shape="box"];4978[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];701 -> 4978[label="",style="solid", color="burlywood", weight=9]; 4978 -> 1087[label="",style="solid", color="burlywood", weight=3]; 4979[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];701 -> 4979[label="",style="solid", color="burlywood", weight=9]; 4979 -> 1088[label="",style="solid", color="burlywood", weight=3]; 987[label="compare1 Nothing Nothing True",fontsize=16,color="black",shape="box"];987 -> 1089[label="",style="solid", color="black", weight=3]; 988[label="compare1 Nothing (Just ywz400) True",fontsize=16,color="black",shape="box"];988 -> 1090[label="",style="solid", color="black", weight=3]; 989[label="compare1 (Just ywz500) Nothing False",fontsize=16,color="black",shape="box"];989 -> 1091[label="",style="solid", color="black", weight=3]; 990 -> 1092[label="",style="dashed", color="red", weight=0]; 990[label="compare1 (Just ywz500) (Just ywz400) (ywz500 <= ywz400)",fontsize=16,color="magenta"];990 -> 1093[label="",style="dashed", color="magenta", weight=3]; 990 -> 1094[label="",style="dashed", color="magenta", weight=3]; 990 -> 1095[label="",style="dashed", color="magenta", weight=3]; 702[label="ywz44",fontsize=16,color="green",shape="box"];703[label="ywz43",fontsize=16,color="green",shape="box"];704[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 FiniteMap.EmptyFM ywz44",fontsize=16,color="black",shape="box"];704 -> 1096[label="",style="solid", color="black", weight=3]; 705[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) ywz44",fontsize=16,color="burlywood",shape="box"];4980[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];705 -> 4980[label="",style="solid", color="burlywood", weight=9]; 4980 -> 1097[label="",style="solid", color="burlywood", weight=3]; 4981[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];705 -> 4981[label="",style="solid", color="burlywood", weight=9]; 4981 -> 1098[label="",style="solid", color="burlywood", weight=3]; 706[label="ywz44",fontsize=16,color="green",shape="box"];707[label="ywz43",fontsize=16,color="green",shape="box"];1102[label="ywz5001 == ywz4001",fontsize=16,color="blue",shape="box"];4982[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1102 -> 4982[label="",style="solid", color="blue", weight=9]; 4982 -> 1114[label="",style="solid", color="blue", weight=3]; 4983[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1102 -> 4983[label="",style="solid", color="blue", weight=9]; 4983 -> 1115[label="",style="solid", color="blue", weight=3]; 1103[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];4984[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1103 -> 4984[label="",style="solid", color="blue", weight=9]; 4984 -> 1116[label="",style="solid", color="blue", weight=3]; 4985[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1103 -> 4985[label="",style="solid", color="blue", weight=9]; 4985 -> 1117[label="",style="solid", color="blue", weight=3]; 1101[label="ywz115 && ywz116",fontsize=16,color="burlywood",shape="triangle"];4986[label="ywz115/False",fontsize=10,color="white",style="solid",shape="box"];1101 -> 4986[label="",style="solid", color="burlywood", weight=9]; 4986 -> 1118[label="",style="solid", color="burlywood", weight=3]; 4987[label="ywz115/True",fontsize=10,color="white",style="solid",shape="box"];1101 -> 4987[label="",style="solid", color="burlywood", weight=9]; 4987 -> 1119[label="",style="solid", color="burlywood", weight=3]; 1001 -> 862[label="",style="dashed", color="red", weight=0]; 1001[label="ywz5000 * ywz4001 == ywz5001 * ywz4000",fontsize=16,color="magenta"];1001 -> 1120[label="",style="dashed", color="magenta", weight=3]; 1001 -> 1121[label="",style="dashed", color="magenta", weight=3]; 1002 -> 862[label="",style="dashed", color="red", weight=0]; 1002[label="ywz5000 * ywz4001 == ywz5001 * ywz4000",fontsize=16,color="magenta"];1002 -> 1122[label="",style="dashed", color="magenta", weight=3]; 1002 -> 1123[label="",style="dashed", color="magenta", weight=3]; 1003[label="primEqNat ywz5000 ywz4000",fontsize=16,color="burlywood",shape="triangle"];4988[label="ywz5000/Succ ywz50000",fontsize=10,color="white",style="solid",shape="box"];1003 -> 4988[label="",style="solid", color="burlywood", weight=9]; 4988 -> 1124[label="",style="solid", color="burlywood", weight=3]; 4989[label="ywz5000/Zero",fontsize=10,color="white",style="solid",shape="box"];1003 -> 4989[label="",style="solid", color="burlywood", weight=9]; 4989 -> 1125[label="",style="solid", color="burlywood", weight=3]; 1104[label="ywz5001 == ywz4001",fontsize=16,color="blue",shape="box"];4990[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4990[label="",style="solid", color="blue", weight=9]; 4990 -> 1126[label="",style="solid", color="blue", weight=3]; 4991[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4991[label="",style="solid", color="blue", weight=9]; 4991 -> 1127[label="",style="solid", color="blue", weight=3]; 4992[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4992[label="",style="solid", color="blue", weight=9]; 4992 -> 1128[label="",style="solid", color="blue", weight=3]; 4993[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4993[label="",style="solid", color="blue", weight=9]; 4993 -> 1129[label="",style="solid", color="blue", weight=3]; 4994[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4994[label="",style="solid", color="blue", weight=9]; 4994 -> 1130[label="",style="solid", color="blue", weight=3]; 4995[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4995[label="",style="solid", color="blue", weight=9]; 4995 -> 1131[label="",style="solid", color="blue", weight=3]; 4996[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4996[label="",style="solid", color="blue", weight=9]; 4996 -> 1132[label="",style="solid", color="blue", weight=3]; 4997[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4997[label="",style="solid", color="blue", weight=9]; 4997 -> 1133[label="",style="solid", color="blue", weight=3]; 4998[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4998[label="",style="solid", color="blue", weight=9]; 4998 -> 1134[label="",style="solid", color="blue", weight=3]; 4999[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 4999[label="",style="solid", color="blue", weight=9]; 4999 -> 1135[label="",style="solid", color="blue", weight=3]; 5000[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 5000[label="",style="solid", color="blue", weight=9]; 5000 -> 1136[label="",style="solid", color="blue", weight=3]; 5001[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 5001[label="",style="solid", color="blue", weight=9]; 5001 -> 1137[label="",style="solid", color="blue", weight=3]; 5002[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 5002[label="",style="solid", color="blue", weight=9]; 5002 -> 1138[label="",style="solid", color="blue", weight=3]; 5003[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1104 -> 5003[label="",style="solid", color="blue", weight=9]; 5003 -> 1139[label="",style="solid", color="blue", weight=3]; 1105[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];5004[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5004[label="",style="solid", color="blue", weight=9]; 5004 -> 1140[label="",style="solid", color="blue", weight=3]; 5005[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5005[label="",style="solid", color="blue", weight=9]; 5005 -> 1141[label="",style="solid", color="blue", weight=3]; 5006[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5006[label="",style="solid", color="blue", weight=9]; 5006 -> 1142[label="",style="solid", color="blue", weight=3]; 5007[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5007[label="",style="solid", color="blue", weight=9]; 5007 -> 1143[label="",style="solid", color="blue", weight=3]; 5008[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5008[label="",style="solid", color="blue", weight=9]; 5008 -> 1144[label="",style="solid", color="blue", weight=3]; 5009[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5009[label="",style="solid", color="blue", weight=9]; 5009 -> 1145[label="",style="solid", color="blue", weight=3]; 5010[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5010[label="",style="solid", color="blue", weight=9]; 5010 -> 1146[label="",style="solid", color="blue", weight=3]; 5011[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5011[label="",style="solid", color="blue", weight=9]; 5011 -> 1147[label="",style="solid", color="blue", weight=3]; 5012[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5012[label="",style="solid", color="blue", weight=9]; 5012 -> 1148[label="",style="solid", color="blue", weight=3]; 5013[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5013[label="",style="solid", color="blue", weight=9]; 5013 -> 1149[label="",style="solid", color="blue", weight=3]; 5014[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5014[label="",style="solid", color="blue", weight=9]; 5014 -> 1150[label="",style="solid", color="blue", weight=3]; 5015[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5015[label="",style="solid", color="blue", weight=9]; 5015 -> 1151[label="",style="solid", color="blue", weight=3]; 5016[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5016[label="",style="solid", color="blue", weight=9]; 5016 -> 1152[label="",style="solid", color="blue", weight=3]; 5017[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1105 -> 5017[label="",style="solid", color="blue", weight=9]; 5017 -> 1153[label="",style="solid", color="blue", weight=3]; 1106 -> 1101[label="",style="dashed", color="red", weight=0]; 1106[label="ywz5001 == ywz4001 && ywz5002 == ywz4002",fontsize=16,color="magenta"];1106 -> 1154[label="",style="dashed", color="magenta", weight=3]; 1106 -> 1155[label="",style="dashed", color="magenta", weight=3]; 1107[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];5018[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5018[label="",style="solid", color="blue", weight=9]; 5018 -> 1156[label="",style="solid", color="blue", weight=3]; 5019[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5019[label="",style="solid", color="blue", weight=9]; 5019 -> 1157[label="",style="solid", color="blue", weight=3]; 5020[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5020[label="",style="solid", color="blue", weight=9]; 5020 -> 1158[label="",style="solid", color="blue", weight=3]; 5021[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5021[label="",style="solid", color="blue", weight=9]; 5021 -> 1159[label="",style="solid", color="blue", weight=3]; 5022[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5022[label="",style="solid", color="blue", weight=9]; 5022 -> 1160[label="",style="solid", color="blue", weight=3]; 5023[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5023[label="",style="solid", color="blue", weight=9]; 5023 -> 1161[label="",style="solid", color="blue", weight=3]; 5024[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5024[label="",style="solid", color="blue", weight=9]; 5024 -> 1162[label="",style="solid", color="blue", weight=3]; 5025[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5025[label="",style="solid", color="blue", weight=9]; 5025 -> 1163[label="",style="solid", color="blue", weight=3]; 5026[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5026[label="",style="solid", color="blue", weight=9]; 5026 -> 1164[label="",style="solid", color="blue", weight=3]; 5027[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5027[label="",style="solid", color="blue", weight=9]; 5027 -> 1165[label="",style="solid", color="blue", weight=3]; 5028[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5028[label="",style="solid", color="blue", weight=9]; 5028 -> 1166[label="",style="solid", color="blue", weight=3]; 5029[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5029[label="",style="solid", color="blue", weight=9]; 5029 -> 1167[label="",style="solid", color="blue", weight=3]; 5030[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5030[label="",style="solid", color="blue", weight=9]; 5030 -> 1168[label="",style="solid", color="blue", weight=3]; 5031[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1107 -> 5031[label="",style="solid", color="blue", weight=9]; 5031 -> 1169[label="",style="solid", color="blue", weight=3]; 1015 -> 849[label="",style="dashed", color="red", weight=0]; 1015[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1015 -> 1170[label="",style="dashed", color="magenta", weight=3]; 1015 -> 1171[label="",style="dashed", color="magenta", weight=3]; 1016 -> 850[label="",style="dashed", color="red", weight=0]; 1016[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1016 -> 1172[label="",style="dashed", color="magenta", weight=3]; 1016 -> 1173[label="",style="dashed", color="magenta", weight=3]; 1017 -> 851[label="",style="dashed", color="red", weight=0]; 1017[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1017 -> 1174[label="",style="dashed", color="magenta", weight=3]; 1017 -> 1175[label="",style="dashed", color="magenta", weight=3]; 1018 -> 852[label="",style="dashed", color="red", weight=0]; 1018[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1018 -> 1176[label="",style="dashed", color="magenta", weight=3]; 1018 -> 1177[label="",style="dashed", color="magenta", weight=3]; 1019 -> 853[label="",style="dashed", color="red", weight=0]; 1019[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1019 -> 1178[label="",style="dashed", color="magenta", weight=3]; 1019 -> 1179[label="",style="dashed", color="magenta", weight=3]; 1020 -> 120[label="",style="dashed", color="red", weight=0]; 1020[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1020 -> 1180[label="",style="dashed", color="magenta", weight=3]; 1020 -> 1181[label="",style="dashed", color="magenta", weight=3]; 1021 -> 855[label="",style="dashed", color="red", weight=0]; 1021[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1021 -> 1182[label="",style="dashed", color="magenta", weight=3]; 1021 -> 1183[label="",style="dashed", color="magenta", weight=3]; 1022 -> 856[label="",style="dashed", color="red", weight=0]; 1022[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1022 -> 1184[label="",style="dashed", color="magenta", weight=3]; 1022 -> 1185[label="",style="dashed", color="magenta", weight=3]; 1023 -> 857[label="",style="dashed", color="red", weight=0]; 1023[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1023 -> 1186[label="",style="dashed", color="magenta", weight=3]; 1023 -> 1187[label="",style="dashed", color="magenta", weight=3]; 1024 -> 858[label="",style="dashed", color="red", weight=0]; 1024[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1024 -> 1188[label="",style="dashed", color="magenta", weight=3]; 1024 -> 1189[label="",style="dashed", color="magenta", weight=3]; 1025 -> 859[label="",style="dashed", color="red", weight=0]; 1025[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1025 -> 1190[label="",style="dashed", color="magenta", weight=3]; 1025 -> 1191[label="",style="dashed", color="magenta", weight=3]; 1026 -> 860[label="",style="dashed", color="red", weight=0]; 1026[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1026 -> 1192[label="",style="dashed", color="magenta", weight=3]; 1026 -> 1193[label="",style="dashed", color="magenta", weight=3]; 1027 -> 861[label="",style="dashed", color="red", weight=0]; 1027[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1027 -> 1194[label="",style="dashed", color="magenta", weight=3]; 1027 -> 1195[label="",style="dashed", color="magenta", weight=3]; 1028 -> 862[label="",style="dashed", color="red", weight=0]; 1028[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1028 -> 1196[label="",style="dashed", color="magenta", weight=3]; 1028 -> 1197[label="",style="dashed", color="magenta", weight=3]; 1029 -> 849[label="",style="dashed", color="red", weight=0]; 1029[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1029 -> 1198[label="",style="dashed", color="magenta", weight=3]; 1029 -> 1199[label="",style="dashed", color="magenta", weight=3]; 1030 -> 850[label="",style="dashed", color="red", weight=0]; 1030[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1030 -> 1200[label="",style="dashed", color="magenta", weight=3]; 1030 -> 1201[label="",style="dashed", color="magenta", weight=3]; 1031 -> 851[label="",style="dashed", color="red", weight=0]; 1031[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1031 -> 1202[label="",style="dashed", color="magenta", weight=3]; 1031 -> 1203[label="",style="dashed", color="magenta", weight=3]; 1032 -> 852[label="",style="dashed", color="red", weight=0]; 1032[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1032 -> 1204[label="",style="dashed", color="magenta", weight=3]; 1032 -> 1205[label="",style="dashed", color="magenta", weight=3]; 1033 -> 853[label="",style="dashed", color="red", weight=0]; 1033[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1033 -> 1206[label="",style="dashed", color="magenta", weight=3]; 1033 -> 1207[label="",style="dashed", color="magenta", weight=3]; 1034 -> 120[label="",style="dashed", color="red", weight=0]; 1034[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1034 -> 1208[label="",style="dashed", color="magenta", weight=3]; 1034 -> 1209[label="",style="dashed", color="magenta", weight=3]; 1035 -> 855[label="",style="dashed", color="red", weight=0]; 1035[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1035 -> 1210[label="",style="dashed", color="magenta", weight=3]; 1035 -> 1211[label="",style="dashed", color="magenta", weight=3]; 1036 -> 856[label="",style="dashed", color="red", weight=0]; 1036[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1036 -> 1212[label="",style="dashed", color="magenta", weight=3]; 1036 -> 1213[label="",style="dashed", color="magenta", weight=3]; 1037 -> 857[label="",style="dashed", color="red", weight=0]; 1037[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1037 -> 1214[label="",style="dashed", color="magenta", weight=3]; 1037 -> 1215[label="",style="dashed", color="magenta", weight=3]; 1038 -> 858[label="",style="dashed", color="red", weight=0]; 1038[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1038 -> 1216[label="",style="dashed", color="magenta", weight=3]; 1038 -> 1217[label="",style="dashed", color="magenta", weight=3]; 1039 -> 859[label="",style="dashed", color="red", weight=0]; 1039[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1039 -> 1218[label="",style="dashed", color="magenta", weight=3]; 1039 -> 1219[label="",style="dashed", color="magenta", weight=3]; 1040 -> 860[label="",style="dashed", color="red", weight=0]; 1040[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1040 -> 1220[label="",style="dashed", color="magenta", weight=3]; 1040 -> 1221[label="",style="dashed", color="magenta", weight=3]; 1041 -> 861[label="",style="dashed", color="red", weight=0]; 1041[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1041 -> 1222[label="",style="dashed", color="magenta", weight=3]; 1041 -> 1223[label="",style="dashed", color="magenta", weight=3]; 1042 -> 862[label="",style="dashed", color="red", weight=0]; 1042[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1042 -> 1224[label="",style="dashed", color="magenta", weight=3]; 1042 -> 1225[label="",style="dashed", color="magenta", weight=3]; 1108 -> 858[label="",style="dashed", color="red", weight=0]; 1108[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1108 -> 1226[label="",style="dashed", color="magenta", weight=3]; 1108 -> 1227[label="",style="dashed", color="magenta", weight=3]; 1109[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];5032[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5032[label="",style="solid", color="blue", weight=9]; 5032 -> 1228[label="",style="solid", color="blue", weight=3]; 5033[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5033[label="",style="solid", color="blue", weight=9]; 5033 -> 1229[label="",style="solid", color="blue", weight=3]; 5034[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5034[label="",style="solid", color="blue", weight=9]; 5034 -> 1230[label="",style="solid", color="blue", weight=3]; 5035[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5035[label="",style="solid", color="blue", weight=9]; 5035 -> 1231[label="",style="solid", color="blue", weight=3]; 5036[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5036[label="",style="solid", color="blue", weight=9]; 5036 -> 1232[label="",style="solid", color="blue", weight=3]; 5037[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5037[label="",style="solid", color="blue", weight=9]; 5037 -> 1233[label="",style="solid", color="blue", weight=3]; 5038[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5038[label="",style="solid", color="blue", weight=9]; 5038 -> 1234[label="",style="solid", color="blue", weight=3]; 5039[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5039[label="",style="solid", color="blue", weight=9]; 5039 -> 1235[label="",style="solid", color="blue", weight=3]; 5040[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5040[label="",style="solid", color="blue", weight=9]; 5040 -> 1236[label="",style="solid", color="blue", weight=3]; 5041[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5041[label="",style="solid", color="blue", weight=9]; 5041 -> 1237[label="",style="solid", color="blue", weight=3]; 5042[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5042[label="",style="solid", color="blue", weight=9]; 5042 -> 1238[label="",style="solid", color="blue", weight=3]; 5043[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5043[label="",style="solid", color="blue", weight=9]; 5043 -> 1239[label="",style="solid", color="blue", weight=3]; 5044[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5044[label="",style="solid", color="blue", weight=9]; 5044 -> 1240[label="",style="solid", color="blue", weight=3]; 5045[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1109 -> 5045[label="",style="solid", color="blue", weight=9]; 5045 -> 1241[label="",style="solid", color="blue", weight=3]; 1043[label="ywz4000",fontsize=16,color="green",shape="box"];1044[label="ywz5000",fontsize=16,color="green",shape="box"];1045 -> 849[label="",style="dashed", color="red", weight=0]; 1045[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1045 -> 1242[label="",style="dashed", color="magenta", weight=3]; 1045 -> 1243[label="",style="dashed", color="magenta", weight=3]; 1046 -> 850[label="",style="dashed", color="red", weight=0]; 1046[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1046 -> 1244[label="",style="dashed", color="magenta", weight=3]; 1046 -> 1245[label="",style="dashed", color="magenta", weight=3]; 1047 -> 851[label="",style="dashed", color="red", weight=0]; 1047[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1047 -> 1246[label="",style="dashed", color="magenta", weight=3]; 1047 -> 1247[label="",style="dashed", color="magenta", weight=3]; 1048 -> 852[label="",style="dashed", color="red", weight=0]; 1048[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1048 -> 1248[label="",style="dashed", color="magenta", weight=3]; 1048 -> 1249[label="",style="dashed", color="magenta", weight=3]; 1049 -> 853[label="",style="dashed", color="red", weight=0]; 1049[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1049 -> 1250[label="",style="dashed", color="magenta", weight=3]; 1049 -> 1251[label="",style="dashed", color="magenta", weight=3]; 1050 -> 120[label="",style="dashed", color="red", weight=0]; 1050[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1050 -> 1252[label="",style="dashed", color="magenta", weight=3]; 1050 -> 1253[label="",style="dashed", color="magenta", weight=3]; 1051 -> 855[label="",style="dashed", color="red", weight=0]; 1051[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1051 -> 1254[label="",style="dashed", color="magenta", weight=3]; 1051 -> 1255[label="",style="dashed", color="magenta", weight=3]; 1052 -> 856[label="",style="dashed", color="red", weight=0]; 1052[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1052 -> 1256[label="",style="dashed", color="magenta", weight=3]; 1052 -> 1257[label="",style="dashed", color="magenta", weight=3]; 1053 -> 857[label="",style="dashed", color="red", weight=0]; 1053[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1053 -> 1258[label="",style="dashed", color="magenta", weight=3]; 1053 -> 1259[label="",style="dashed", color="magenta", weight=3]; 1054 -> 858[label="",style="dashed", color="red", weight=0]; 1054[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1054 -> 1260[label="",style="dashed", color="magenta", weight=3]; 1054 -> 1261[label="",style="dashed", color="magenta", weight=3]; 1055 -> 859[label="",style="dashed", color="red", weight=0]; 1055[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1055 -> 1262[label="",style="dashed", color="magenta", weight=3]; 1055 -> 1263[label="",style="dashed", color="magenta", weight=3]; 1056 -> 860[label="",style="dashed", color="red", weight=0]; 1056[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1056 -> 1264[label="",style="dashed", color="magenta", weight=3]; 1056 -> 1265[label="",style="dashed", color="magenta", weight=3]; 1057 -> 861[label="",style="dashed", color="red", weight=0]; 1057[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1057 -> 1266[label="",style="dashed", color="magenta", weight=3]; 1057 -> 1267[label="",style="dashed", color="magenta", weight=3]; 1058 -> 862[label="",style="dashed", color="red", weight=0]; 1058[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1058 -> 1268[label="",style="dashed", color="magenta", weight=3]; 1058 -> 1269[label="",style="dashed", color="magenta", weight=3]; 1059[label="primEqInt (Pos (Succ ywz50000)) (Pos ywz4000)",fontsize=16,color="burlywood",shape="box"];5046[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1059 -> 5046[label="",style="solid", color="burlywood", weight=9]; 5046 -> 1270[label="",style="solid", color="burlywood", weight=3]; 5047[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1059 -> 5047[label="",style="solid", color="burlywood", weight=9]; 5047 -> 1271[label="",style="solid", color="burlywood", weight=3]; 1060[label="primEqInt (Pos (Succ ywz50000)) (Neg ywz4000)",fontsize=16,color="black",shape="box"];1060 -> 1272[label="",style="solid", color="black", weight=3]; 1061[label="primEqInt (Pos Zero) (Pos ywz4000)",fontsize=16,color="burlywood",shape="box"];5048[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1061 -> 5048[label="",style="solid", color="burlywood", weight=9]; 5048 -> 1273[label="",style="solid", color="burlywood", weight=3]; 5049[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1061 -> 5049[label="",style="solid", color="burlywood", weight=9]; 5049 -> 1274[label="",style="solid", color="burlywood", weight=3]; 1062[label="primEqInt (Pos Zero) (Neg ywz4000)",fontsize=16,color="burlywood",shape="box"];5050[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1062 -> 5050[label="",style="solid", color="burlywood", weight=9]; 5050 -> 1275[label="",style="solid", color="burlywood", weight=3]; 5051[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1062 -> 5051[label="",style="solid", color="burlywood", weight=9]; 5051 -> 1276[label="",style="solid", color="burlywood", weight=3]; 1063[label="primEqInt (Neg (Succ ywz50000)) (Pos ywz4000)",fontsize=16,color="black",shape="box"];1063 -> 1277[label="",style="solid", color="black", weight=3]; 1064[label="primEqInt (Neg (Succ ywz50000)) (Neg ywz4000)",fontsize=16,color="burlywood",shape="box"];5052[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1064 -> 5052[label="",style="solid", color="burlywood", weight=9]; 5052 -> 1278[label="",style="solid", color="burlywood", weight=3]; 5053[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1064 -> 5053[label="",style="solid", color="burlywood", weight=9]; 5053 -> 1279[label="",style="solid", color="burlywood", weight=3]; 1065[label="primEqInt (Neg Zero) (Pos ywz4000)",fontsize=16,color="burlywood",shape="box"];5054[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1065 -> 5054[label="",style="solid", color="burlywood", weight=9]; 5054 -> 1280[label="",style="solid", color="burlywood", weight=3]; 5055[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1065 -> 5055[label="",style="solid", color="burlywood", weight=9]; 5055 -> 1281[label="",style="solid", color="burlywood", weight=3]; 1066[label="primEqInt (Neg Zero) (Neg ywz4000)",fontsize=16,color="burlywood",shape="box"];5056[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1066 -> 5056[label="",style="solid", color="burlywood", weight=9]; 5056 -> 1282[label="",style="solid", color="burlywood", weight=3]; 5057[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1066 -> 5057[label="",style="solid", color="burlywood", weight=9]; 5057 -> 1283[label="",style="solid", color="burlywood", weight=3]; 800[label="ywz22",fontsize=16,color="green",shape="box"];801[label="ywz21",fontsize=16,color="green",shape="box"];802[label="ywz23",fontsize=16,color="green",shape="box"];803[label="ywz43",fontsize=16,color="green",shape="box"];804[label="ywz44",fontsize=16,color="green",shape="box"];805[label="ywz43",fontsize=16,color="green",shape="box"];806[label="ywz44",fontsize=16,color="green",shape="box"];807[label="ywz43",fontsize=16,color="green",shape="box"];808[label="ywz44",fontsize=16,color="green",shape="box"];809[label="ywz36",fontsize=16,color="green",shape="box"];810[label="ywz38",fontsize=16,color="green",shape="box"];811[label="ywz37",fontsize=16,color="green",shape="box"];3113[label="Succ (Succ (primPlusNat ywz2120 ywz400000))",fontsize=16,color="green",shape="box"];3113 -> 3292[label="",style="dashed", color="green", weight=3]; 3114[label="Succ ywz400000",fontsize=16,color="green",shape="box"];3304[label="primCmpNat (Succ ywz500000) (Succ ywz400000)",fontsize=16,color="black",shape="box"];3304 -> 3330[label="",style="solid", color="black", weight=3]; 3305[label="primCmpNat (Succ ywz500000) Zero",fontsize=16,color="black",shape="box"];3305 -> 3331[label="",style="solid", color="black", weight=3]; 3306[label="primCmpNat Zero (Succ ywz400000)",fontsize=16,color="black",shape="box"];3306 -> 3332[label="",style="solid", color="black", weight=3]; 3307[label="primCmpNat Zero Zero",fontsize=16,color="black",shape="box"];3307 -> 3333[label="",style="solid", color="black", weight=3]; 2860[label="primCmpDouble (Double ywz5000 ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];5058[label="ywz5001/Pos ywz50010",fontsize=10,color="white",style="solid",shape="box"];2860 -> 5058[label="",style="solid", color="burlywood", weight=9]; 5058 -> 3464[label="",style="solid", color="burlywood", weight=3]; 5059[label="ywz5001/Neg ywz50010",fontsize=10,color="white",style="solid",shape="box"];2860 -> 5059[label="",style="solid", color="burlywood", weight=9]; 5059 -> 3465[label="",style="solid", color="burlywood", weight=3]; 2952[label="compare () ()",fontsize=16,color="black",shape="box"];2952 -> 3595[label="",style="solid", color="black", weight=3]; 2858[label="compare (ywz5000 :% ywz5001) (ywz4000 :% ywz4001)",fontsize=16,color="black",shape="box"];2858 -> 3461[label="",style="solid", color="black", weight=3]; 3982 -> 856[label="",style="dashed", color="red", weight=0]; 3982[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];3982 -> 4185[label="",style="dashed", color="magenta", weight=3]; 3982 -> 4186[label="",style="dashed", color="magenta", weight=3]; 3981[label="compare2 ywz5000 ywz4000 ywz296",fontsize=16,color="burlywood",shape="triangle"];5060[label="ywz296/False",fontsize=10,color="white",style="solid",shape="box"];3981 -> 5060[label="",style="solid", color="burlywood", weight=9]; 5060 -> 4187[label="",style="solid", color="burlywood", weight=3]; 5061[label="ywz296/True",fontsize=10,color="white",style="solid",shape="box"];3981 -> 5061[label="",style="solid", color="burlywood", weight=9]; 5061 -> 4188[label="",style="solid", color="burlywood", weight=3]; 3984 -> 857[label="",style="dashed", color="red", weight=0]; 3984[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];3984 -> 4189[label="",style="dashed", color="magenta", weight=3]; 3984 -> 4190[label="",style="dashed", color="magenta", weight=3]; 3983[label="compare2 ywz5000 ywz4000 ywz297",fontsize=16,color="burlywood",shape="triangle"];5062[label="ywz297/False",fontsize=10,color="white",style="solid",shape="box"];3983 -> 5062[label="",style="solid", color="burlywood", weight=9]; 5062 -> 4191[label="",style="solid", color="burlywood", weight=3]; 5063[label="ywz297/True",fontsize=10,color="white",style="solid",shape="box"];3983 -> 5063[label="",style="solid", color="burlywood", weight=9]; 5063 -> 4192[label="",style="solid", color="burlywood", weight=3]; 3978 -> 120[label="",style="dashed", color="red", weight=0]; 3978[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];3978 -> 4177[label="",style="dashed", color="magenta", weight=3]; 3978 -> 4178[label="",style="dashed", color="magenta", weight=3]; 3977[label="compare2 ywz5000 ywz4000 ywz294",fontsize=16,color="burlywood",shape="triangle"];5064[label="ywz294/False",fontsize=10,color="white",style="solid",shape="box"];3977 -> 5064[label="",style="solid", color="burlywood", weight=9]; 5064 -> 4179[label="",style="solid", color="burlywood", weight=3]; 5065[label="ywz294/True",fontsize=10,color="white",style="solid",shape="box"];3977 -> 5065[label="",style="solid", color="burlywood", weight=9]; 5065 -> 4180[label="",style="solid", color="burlywood", weight=3]; 2861[label="primCmpChar (Char ywz5000) ywz400",fontsize=16,color="burlywood",shape="box"];5066[label="ywz400/Char ywz4000",fontsize=10,color="white",style="solid",shape="box"];2861 -> 5066[label="",style="solid", color="burlywood", weight=9]; 5066 -> 3466[label="",style="solid", color="burlywood", weight=3]; 2948[label="compare (ywz5000 : ywz5001) (ywz4000 : ywz4001)",fontsize=16,color="black",shape="box"];2948 -> 3591[label="",style="solid", color="black", weight=3]; 2949[label="compare (ywz5000 : ywz5001) []",fontsize=16,color="black",shape="box"];2949 -> 3592[label="",style="solid", color="black", weight=3]; 2950[label="compare [] (ywz4000 : ywz4001)",fontsize=16,color="black",shape="box"];2950 -> 3593[label="",style="solid", color="black", weight=3]; 2951[label="compare [] []",fontsize=16,color="black",shape="box"];2951 -> 3594[label="",style="solid", color="black", weight=3]; 3976 -> 853[label="",style="dashed", color="red", weight=0]; 3976[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];3976 -> 4173[label="",style="dashed", color="magenta", weight=3]; 3976 -> 4174[label="",style="dashed", color="magenta", weight=3]; 3975[label="compare2 ywz5000 ywz4000 ywz293",fontsize=16,color="burlywood",shape="triangle"];5067[label="ywz293/False",fontsize=10,color="white",style="solid",shape="box"];3975 -> 5067[label="",style="solid", color="burlywood", weight=9]; 5067 -> 4175[label="",style="solid", color="burlywood", weight=3]; 5068[label="ywz293/True",fontsize=10,color="white",style="solid",shape="box"];3975 -> 5068[label="",style="solid", color="burlywood", weight=9]; 5068 -> 4176[label="",style="solid", color="burlywood", weight=3]; 2859[label="primCmpFloat (Float ywz5000 ywz5001) ywz400",fontsize=16,color="burlywood",shape="box"];5069[label="ywz5001/Pos ywz50010",fontsize=10,color="white",style="solid",shape="box"];2859 -> 5069[label="",style="solid", color="burlywood", weight=9]; 5069 -> 3462[label="",style="solid", color="burlywood", weight=3]; 5070[label="ywz5001/Neg ywz50010",fontsize=10,color="white",style="solid",shape="box"];2859 -> 5070[label="",style="solid", color="burlywood", weight=9]; 5070 -> 3463[label="",style="solid", color="burlywood", weight=3]; 2953[label="compare (Integer ywz5000) (Integer ywz4000)",fontsize=16,color="black",shape="box"];2953 -> 3596[label="",style="solid", color="black", weight=3]; 3980 -> 855[label="",style="dashed", color="red", weight=0]; 3980[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];3980 -> 4181[label="",style="dashed", color="magenta", weight=3]; 3980 -> 4182[label="",style="dashed", color="magenta", weight=3]; 3979[label="compare2 ywz5000 ywz4000 ywz295",fontsize=16,color="burlywood",shape="triangle"];5071[label="ywz295/False",fontsize=10,color="white",style="solid",shape="box"];3979 -> 5071[label="",style="solid", color="burlywood", weight=9]; 5071 -> 4183[label="",style="solid", color="burlywood", weight=3]; 5072[label="ywz295/True",fontsize=10,color="white",style="solid",shape="box"];3979 -> 5072[label="",style="solid", color="burlywood", weight=9]; 5072 -> 4184[label="",style="solid", color="burlywood", weight=3]; 4549[label="ywz340",fontsize=16,color="green",shape="box"];4550[label="ywz337",fontsize=16,color="green",shape="box"];4551[label="ywz340",fontsize=16,color="green",shape="box"];4552[label="ywz337",fontsize=16,color="green",shape="box"];4553[label="ywz340",fontsize=16,color="green",shape="box"];4554[label="ywz337",fontsize=16,color="green",shape="box"];4555[label="ywz337",fontsize=16,color="green",shape="box"];4556[label="ywz340",fontsize=16,color="green",shape="box"];4557[label="ywz337",fontsize=16,color="green",shape="box"];4558[label="ywz340",fontsize=16,color="green",shape="box"];4559[label="ywz337",fontsize=16,color="green",shape="box"];4560[label="ywz340",fontsize=16,color="green",shape="box"];4561[label="ywz340",fontsize=16,color="green",shape="box"];4562[label="ywz337",fontsize=16,color="green",shape="box"];4563[label="ywz340",fontsize=16,color="green",shape="box"];4564[label="ywz337",fontsize=16,color="green",shape="box"];4565[label="ywz337",fontsize=16,color="green",shape="box"];4566[label="ywz340",fontsize=16,color="green",shape="box"];4567[label="ywz340",fontsize=16,color="green",shape="box"];4568[label="ywz337",fontsize=16,color="green",shape="box"];4569[label="ywz340",fontsize=16,color="green",shape="box"];4570[label="ywz337",fontsize=16,color="green",shape="box"];4571[label="ywz337",fontsize=16,color="green",shape="box"];4572[label="ywz340",fontsize=16,color="green",shape="box"];4573[label="FiniteMap.plusFM_CNew_elt0 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color="black", weight=3]; 3282 -> 3313[label="",style="dashed", color="red", weight=0]; 3282[label="primPlusInt (Pos ywz17920) (FiniteMap.sizeFM ywz444)",fontsize=16,color="magenta"];3282 -> 3318[label="",style="dashed", color="magenta", weight=3]; 3283 -> 3335[label="",style="dashed", color="red", weight=0]; 3283[label="primPlusInt (Neg ywz17920) (FiniteMap.sizeFM ywz444)",fontsize=16,color="magenta"];3283 -> 3336[label="",style="dashed", color="magenta", weight=3]; 3379 -> 3109[label="",style="dashed", color="red", weight=0]; 3379[label="FiniteMap.sizeFM ywz179",fontsize=16,color="magenta"];3284[label="FiniteMap.sizeFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];3284 -> 3347[label="",style="solid", color="black", weight=3]; 3285[label="FiniteMap.sizeFM (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794)",fontsize=16,color="black",shape="box"];3285 -> 3348[label="",style="solid", color="black", weight=3]; 3409[label="ywz243",fontsize=16,color="green",shape="box"];3410[label="ywz244",fontsize=16,color="green",shape="box"];3367 -> 1120[label="",style="dashed", color="red", weight=0]; 3367[label="FiniteMap.sIZE_RATIO * FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];3367 -> 3377[label="",style="dashed", color="magenta", weight=3]; 3367 -> 3378[label="",style="dashed", color="magenta", weight=3]; 3375[label="FiniteMap.mkBalBranch6MkBalBranch3 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 False",fontsize=16,color="black",shape="box"];3375 -> 3395[label="",style="solid", color="black", weight=3]; 3376[label="FiniteMap.mkBalBranch6MkBalBranch3 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 True",fontsize=16,color="black",shape="box"];3376 -> 3396[label="",style="solid", color="black", weight=3]; 3309[label="error []",fontsize=16,color="red",shape="box"];3310[label="FiniteMap.mkBalBranch6MkBalBranch02 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444)",fontsize=16,color="black",shape="box"];3310 -> 3380[label="",style="solid", color="black", weight=3]; 1086[label="FiniteMap.mkVBalBranch5 Nothing ywz41 FiniteMap.EmptyFM ywz44",fontsize=16,color="black",shape="box"];1086 -> 1340[label="",style="solid", color="black", weight=3]; 1087[label="FiniteMap.mkVBalBranch Nothing ywz41 (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1087 -> 1341[label="",style="solid", color="black", weight=3]; 1088[label="FiniteMap.mkVBalBranch Nothing ywz41 (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444)",fontsize=16,color="black",shape="box"];1088 -> 1342[label="",style="solid", color="black", weight=3]; 1089[label="LT",fontsize=16,color="green",shape="box"];1090[label="LT",fontsize=16,color="green",shape="box"];1091[label="compare0 (Just ywz500) Nothing otherwise",fontsize=16,color="black",shape="box"];1091 -> 1343[label="",style="solid", color="black", weight=3]; 1093[label="ywz500 <= ywz400",fontsize=16,color="blue",shape="box"];5073[label="<= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5073[label="",style="solid", color="blue", weight=9]; 5073 -> 1344[label="",style="solid", color="blue", weight=3]; 5074[label="<= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5074[label="",style="solid", color="blue", weight=9]; 5074 -> 1345[label="",style="solid", color="blue", weight=3]; 5075[label="<= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5075[label="",style="solid", color="blue", weight=9]; 5075 -> 1346[label="",style="solid", color="blue", weight=3]; 5076[label="<= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5076[label="",style="solid", color="blue", weight=9]; 5076 -> 1347[label="",style="solid", color="blue", weight=3]; 5077[label="<= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5077[label="",style="solid", color="blue", weight=9]; 5077 -> 1348[label="",style="solid", color="blue", weight=3]; 5078[label="<= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5078[label="",style="solid", color="blue", weight=9]; 5078 -> 1349[label="",style="solid", color="blue", weight=3]; 5079[label="<= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5079[label="",style="solid", color="blue", weight=9]; 5079 -> 1350[label="",style="solid", color="blue", weight=3]; 5080[label="<= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5080[label="",style="solid", color="blue", weight=9]; 5080 -> 1351[label="",style="solid", color="blue", weight=3]; 5081[label="<= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5081[label="",style="solid", color="blue", weight=9]; 5081 -> 1352[label="",style="solid", color="blue", weight=3]; 5082[label="<= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5082[label="",style="solid", color="blue", weight=9]; 5082 -> 1353[label="",style="solid", color="blue", weight=3]; 5083[label="<= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5083[label="",style="solid", color="blue", weight=9]; 5083 -> 1354[label="",style="solid", color="blue", weight=3]; 5084[label="<= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5084[label="",style="solid", color="blue", weight=9]; 5084 -> 1355[label="",style="solid", color="blue", weight=3]; 5085[label="<= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5085[label="",style="solid", color="blue", weight=9]; 5085 -> 1356[label="",style="solid", color="blue", weight=3]; 5086[label="<= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1093 -> 5086[label="",style="solid", color="blue", weight=9]; 5086 -> 1357[label="",style="solid", color="blue", weight=3]; 1094[label="ywz500",fontsize=16,color="green",shape="box"];1095[label="ywz400",fontsize=16,color="green",shape="box"];1092[label="compare1 (Just ywz109) (Just ywz110) ywz111",fontsize=16,color="burlywood",shape="triangle"];5087[label="ywz111/False",fontsize=10,color="white",style="solid",shape="box"];1092 -> 5087[label="",style="solid", color="burlywood", weight=9]; 5087 -> 1358[label="",style="solid", color="burlywood", weight=3]; 5088[label="ywz111/True",fontsize=10,color="white",style="solid",shape="box"];1092 -> 5088[label="",style="solid", color="burlywood", weight=9]; 5088 -> 1359[label="",style="solid", color="burlywood", weight=3]; 1096[label="FiniteMap.mkVBalBranch5 (Just ywz400) ywz41 FiniteMap.EmptyFM ywz44",fontsize=16,color="black",shape="box"];1096 -> 1360[label="",style="solid", color="black", weight=3]; 1097[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1097 -> 1361[label="",style="solid", color="black", weight=3]; 1098[label="FiniteMap.mkVBalBranch (Just ywz400) ywz41 (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444)",fontsize=16,color="black",shape="box"];1098 -> 1362[label="",style="solid", color="black", weight=3]; 1114 -> 860[label="",style="dashed", color="red", weight=0]; 1114[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1114 -> 1363[label="",style="dashed", color="magenta", weight=3]; 1114 -> 1364[label="",style="dashed", color="magenta", weight=3]; 1115 -> 862[label="",style="dashed", color="red", weight=0]; 1115[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1115 -> 1365[label="",style="dashed", color="magenta", weight=3]; 1115 -> 1366[label="",style="dashed", color="magenta", weight=3]; 1116 -> 860[label="",style="dashed", color="red", weight=0]; 1116[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1116 -> 1367[label="",style="dashed", color="magenta", weight=3]; 1116 -> 1368[label="",style="dashed", color="magenta", weight=3]; 1117 -> 862[label="",style="dashed", color="red", weight=0]; 1117[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1117 -> 1369[label="",style="dashed", color="magenta", weight=3]; 1117 -> 1370[label="",style="dashed", color="magenta", weight=3]; 1118[label="False && ywz116",fontsize=16,color="black",shape="box"];1118 -> 1371[label="",style="solid", color="black", weight=3]; 1119[label="True && ywz116",fontsize=16,color="black",shape="box"];1119 -> 1372[label="",style="solid", color="black", weight=3]; 1121 -> 1120[label="",style="dashed", color="red", weight=0]; 1121[label="ywz5000 * ywz4001",fontsize=16,color="magenta"];1121 -> 1374[label="",style="dashed", color="magenta", weight=3]; 1121 -> 1375[label="",style="dashed", color="magenta", weight=3]; 1122 -> 1120[label="",style="dashed", color="red", weight=0]; 1122[label="ywz5001 * ywz4000",fontsize=16,color="magenta"];1122 -> 1376[label="",style="dashed", color="magenta", weight=3]; 1122 -> 1377[label="",style="dashed", color="magenta", weight=3]; 1123 -> 1120[label="",style="dashed", color="red", weight=0]; 1123[label="ywz5000 * ywz4001",fontsize=16,color="magenta"];1123 -> 1378[label="",style="dashed", color="magenta", weight=3]; 1123 -> 1379[label="",style="dashed", color="magenta", weight=3]; 1124[label="primEqNat (Succ ywz50000) ywz4000",fontsize=16,color="burlywood",shape="box"];5089[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1124 -> 5089[label="",style="solid", color="burlywood", weight=9]; 5089 -> 1380[label="",style="solid", color="burlywood", weight=3]; 5090[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1124 -> 5090[label="",style="solid", color="burlywood", weight=9]; 5090 -> 1381[label="",style="solid", color="burlywood", weight=3]; 1125[label="primEqNat Zero ywz4000",fontsize=16,color="burlywood",shape="box"];5091[label="ywz4000/Succ ywz40000",fontsize=10,color="white",style="solid",shape="box"];1125 -> 5091[label="",style="solid", color="burlywood", weight=9]; 5091 -> 1382[label="",style="solid", color="burlywood", weight=3]; 5092[label="ywz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];1125 -> 5092[label="",style="solid", color="burlywood", weight=9]; 5092 -> 1383[label="",style="solid", color="burlywood", weight=3]; 1126 -> 849[label="",style="dashed", color="red", weight=0]; 1126[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1126 -> 1384[label="",style="dashed", color="magenta", weight=3]; 1126 -> 1385[label="",style="dashed", color="magenta", weight=3]; 1127 -> 850[label="",style="dashed", color="red", weight=0]; 1127[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1127 -> 1386[label="",style="dashed", color="magenta", weight=3]; 1127 -> 1387[label="",style="dashed", color="magenta", weight=3]; 1128 -> 851[label="",style="dashed", color="red", weight=0]; 1128[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1128 -> 1388[label="",style="dashed", color="magenta", weight=3]; 1128 -> 1389[label="",style="dashed", color="magenta", weight=3]; 1129 -> 852[label="",style="dashed", color="red", weight=0]; 1129[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1129 -> 1390[label="",style="dashed", color="magenta", weight=3]; 1129 -> 1391[label="",style="dashed", color="magenta", weight=3]; 1130 -> 853[label="",style="dashed", color="red", weight=0]; 1130[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1130 -> 1392[label="",style="dashed", color="magenta", weight=3]; 1130 -> 1393[label="",style="dashed", color="magenta", weight=3]; 1131 -> 120[label="",style="dashed", color="red", weight=0]; 1131[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1131 -> 1394[label="",style="dashed", color="magenta", weight=3]; 1131 -> 1395[label="",style="dashed", color="magenta", weight=3]; 1132 -> 855[label="",style="dashed", color="red", weight=0]; 1132[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1132 -> 1396[label="",style="dashed", color="magenta", weight=3]; 1132 -> 1397[label="",style="dashed", color="magenta", weight=3]; 1133 -> 856[label="",style="dashed", color="red", weight=0]; 1133[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1133 -> 1398[label="",style="dashed", color="magenta", weight=3]; 1133 -> 1399[label="",style="dashed", color="magenta", weight=3]; 1134 -> 857[label="",style="dashed", color="red", weight=0]; 1134[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1134 -> 1400[label="",style="dashed", color="magenta", weight=3]; 1134 -> 1401[label="",style="dashed", color="magenta", weight=3]; 1135 -> 858[label="",style="dashed", color="red", weight=0]; 1135[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1135 -> 1402[label="",style="dashed", color="magenta", weight=3]; 1135 -> 1403[label="",style="dashed", color="magenta", weight=3]; 1136 -> 859[label="",style="dashed", color="red", weight=0]; 1136[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1136 -> 1404[label="",style="dashed", color="magenta", weight=3]; 1136 -> 1405[label="",style="dashed", color="magenta", weight=3]; 1137 -> 860[label="",style="dashed", color="red", weight=0]; 1137[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1137 -> 1406[label="",style="dashed", color="magenta", weight=3]; 1137 -> 1407[label="",style="dashed", color="magenta", weight=3]; 1138 -> 861[label="",style="dashed", color="red", weight=0]; 1138[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1138 -> 1408[label="",style="dashed", color="magenta", weight=3]; 1138 -> 1409[label="",style="dashed", color="magenta", weight=3]; 1139 -> 862[label="",style="dashed", color="red", weight=0]; 1139[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1139 -> 1410[label="",style="dashed", color="magenta", weight=3]; 1139 -> 1411[label="",style="dashed", color="magenta", weight=3]; 1140 -> 849[label="",style="dashed", color="red", weight=0]; 1140[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1140 -> 1412[label="",style="dashed", color="magenta", weight=3]; 1140 -> 1413[label="",style="dashed", color="magenta", weight=3]; 1141 -> 850[label="",style="dashed", color="red", weight=0]; 1141[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1141 -> 1414[label="",style="dashed", color="magenta", weight=3]; 1141 -> 1415[label="",style="dashed", color="magenta", weight=3]; 1142 -> 851[label="",style="dashed", color="red", weight=0]; 1142[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1142 -> 1416[label="",style="dashed", color="magenta", weight=3]; 1142 -> 1417[label="",style="dashed", color="magenta", weight=3]; 1143 -> 852[label="",style="dashed", color="red", weight=0]; 1143[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1143 -> 1418[label="",style="dashed", color="magenta", weight=3]; 1143 -> 1419[label="",style="dashed", color="magenta", weight=3]; 1144 -> 853[label="",style="dashed", color="red", weight=0]; 1144[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1144 -> 1420[label="",style="dashed", color="magenta", weight=3]; 1144 -> 1421[label="",style="dashed", color="magenta", weight=3]; 1145 -> 120[label="",style="dashed", color="red", weight=0]; 1145[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1145 -> 1422[label="",style="dashed", color="magenta", weight=3]; 1145 -> 1423[label="",style="dashed", color="magenta", weight=3]; 1146 -> 855[label="",style="dashed", color="red", weight=0]; 1146[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1146 -> 1424[label="",style="dashed", color="magenta", weight=3]; 1146 -> 1425[label="",style="dashed", color="magenta", weight=3]; 1147 -> 856[label="",style="dashed", color="red", weight=0]; 1147[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1147 -> 1426[label="",style="dashed", color="magenta", weight=3]; 1147 -> 1427[label="",style="dashed", color="magenta", weight=3]; 1148 -> 857[label="",style="dashed", color="red", weight=0]; 1148[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1148 -> 1428[label="",style="dashed", color="magenta", weight=3]; 1148 -> 1429[label="",style="dashed", color="magenta", weight=3]; 1149 -> 858[label="",style="dashed", color="red", weight=0]; 1149[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1149 -> 1430[label="",style="dashed", color="magenta", weight=3]; 1149 -> 1431[label="",style="dashed", color="magenta", weight=3]; 1150 -> 859[label="",style="dashed", color="red", weight=0]; 1150[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1150 -> 1432[label="",style="dashed", color="magenta", weight=3]; 1150 -> 1433[label="",style="dashed", color="magenta", weight=3]; 1151 -> 860[label="",style="dashed", color="red", weight=0]; 1151[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1151 -> 1434[label="",style="dashed", color="magenta", weight=3]; 1151 -> 1435[label="",style="dashed", color="magenta", weight=3]; 1152 -> 861[label="",style="dashed", color="red", weight=0]; 1152[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1152 -> 1436[label="",style="dashed", color="magenta", weight=3]; 1152 -> 1437[label="",style="dashed", color="magenta", weight=3]; 1153 -> 862[label="",style="dashed", color="red", weight=0]; 1153[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1153 -> 1438[label="",style="dashed", color="magenta", weight=3]; 1153 -> 1439[label="",style="dashed", color="magenta", weight=3]; 1154[label="ywz5002 == ywz4002",fontsize=16,color="blue",shape="box"];5093[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5093[label="",style="solid", color="blue", weight=9]; 5093 -> 1440[label="",style="solid", color="blue", weight=3]; 5094[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5094[label="",style="solid", color="blue", weight=9]; 5094 -> 1441[label="",style="solid", color="blue", weight=3]; 5095[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5095[label="",style="solid", color="blue", weight=9]; 5095 -> 1442[label="",style="solid", color="blue", weight=3]; 5096[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5096[label="",style="solid", color="blue", weight=9]; 5096 -> 1443[label="",style="solid", color="blue", weight=3]; 5097[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5097[label="",style="solid", color="blue", weight=9]; 5097 -> 1444[label="",style="solid", color="blue", weight=3]; 5098[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5098[label="",style="solid", color="blue", weight=9]; 5098 -> 1445[label="",style="solid", color="blue", weight=3]; 5099[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5099[label="",style="solid", color="blue", weight=9]; 5099 -> 1446[label="",style="solid", color="blue", weight=3]; 5100[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5100[label="",style="solid", color="blue", weight=9]; 5100 -> 1447[label="",style="solid", color="blue", weight=3]; 5101[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5101[label="",style="solid", color="blue", weight=9]; 5101 -> 1448[label="",style="solid", color="blue", weight=3]; 5102[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5102[label="",style="solid", color="blue", weight=9]; 5102 -> 1449[label="",style="solid", color="blue", weight=3]; 5103[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5103[label="",style="solid", color="blue", weight=9]; 5103 -> 1450[label="",style="solid", color="blue", weight=3]; 5104[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5104[label="",style="solid", color="blue", weight=9]; 5104 -> 1451[label="",style="solid", color="blue", weight=3]; 5105[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5105[label="",style="solid", color="blue", weight=9]; 5105 -> 1452[label="",style="solid", color="blue", weight=3]; 5106[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1154 -> 5106[label="",style="solid", color="blue", weight=9]; 5106 -> 1453[label="",style="solid", color="blue", weight=3]; 1155[label="ywz5001 == ywz4001",fontsize=16,color="blue",shape="box"];5107[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5107[label="",style="solid", color="blue", weight=9]; 5107 -> 1454[label="",style="solid", color="blue", weight=3]; 5108[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5108[label="",style="solid", color="blue", weight=9]; 5108 -> 1455[label="",style="solid", color="blue", weight=3]; 5109[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5109[label="",style="solid", color="blue", weight=9]; 5109 -> 1456[label="",style="solid", color="blue", weight=3]; 5110[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5110[label="",style="solid", color="blue", weight=9]; 5110 -> 1457[label="",style="solid", color="blue", weight=3]; 5111[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5111[label="",style="solid", color="blue", weight=9]; 5111 -> 1458[label="",style="solid", color="blue", weight=3]; 5112[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5112[label="",style="solid", color="blue", weight=9]; 5112 -> 1459[label="",style="solid", color="blue", weight=3]; 5113[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5113[label="",style="solid", color="blue", weight=9]; 5113 -> 1460[label="",style="solid", color="blue", weight=3]; 5114[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5114[label="",style="solid", color="blue", weight=9]; 5114 -> 1461[label="",style="solid", color="blue", weight=3]; 5115[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5115[label="",style="solid", color="blue", weight=9]; 5115 -> 1462[label="",style="solid", color="blue", weight=3]; 5116[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5116[label="",style="solid", color="blue", weight=9]; 5116 -> 1463[label="",style="solid", color="blue", weight=3]; 5117[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5117[label="",style="solid", color="blue", weight=9]; 5117 -> 1464[label="",style="solid", color="blue", weight=3]; 5118[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5118[label="",style="solid", color="blue", weight=9]; 5118 -> 1465[label="",style="solid", color="blue", weight=3]; 5119[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5119[label="",style="solid", color="blue", weight=9]; 5119 -> 1466[label="",style="solid", color="blue", weight=3]; 5120[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1155 -> 5120[label="",style="solid", color="blue", weight=9]; 5120 -> 1467[label="",style="solid", color="blue", weight=3]; 1156 -> 849[label="",style="dashed", color="red", weight=0]; 1156[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1156 -> 1468[label="",style="dashed", color="magenta", weight=3]; 1156 -> 1469[label="",style="dashed", color="magenta", weight=3]; 1157 -> 850[label="",style="dashed", color="red", weight=0]; 1157[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1157 -> 1470[label="",style="dashed", color="magenta", weight=3]; 1157 -> 1471[label="",style="dashed", color="magenta", weight=3]; 1158 -> 851[label="",style="dashed", color="red", weight=0]; 1158[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1158 -> 1472[label="",style="dashed", color="magenta", weight=3]; 1158 -> 1473[label="",style="dashed", color="magenta", weight=3]; 1159 -> 852[label="",style="dashed", color="red", weight=0]; 1159[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1159 -> 1474[label="",style="dashed", color="magenta", weight=3]; 1159 -> 1475[label="",style="dashed", color="magenta", weight=3]; 1160 -> 853[label="",style="dashed", color="red", weight=0]; 1160[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1160 -> 1476[label="",style="dashed", color="magenta", weight=3]; 1160 -> 1477[label="",style="dashed", color="magenta", weight=3]; 1161 -> 120[label="",style="dashed", color="red", weight=0]; 1161[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1161 -> 1478[label="",style="dashed", color="magenta", weight=3]; 1161 -> 1479[label="",style="dashed", color="magenta", weight=3]; 1162 -> 855[label="",style="dashed", color="red", weight=0]; 1162[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1162 -> 1480[label="",style="dashed", color="magenta", weight=3]; 1162 -> 1481[label="",style="dashed", color="magenta", weight=3]; 1163 -> 856[label="",style="dashed", color="red", weight=0]; 1163[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1163 -> 1482[label="",style="dashed", color="magenta", weight=3]; 1163 -> 1483[label="",style="dashed", color="magenta", weight=3]; 1164 -> 857[label="",style="dashed", color="red", weight=0]; 1164[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1164 -> 1484[label="",style="dashed", color="magenta", weight=3]; 1164 -> 1485[label="",style="dashed", color="magenta", weight=3]; 1165 -> 858[label="",style="dashed", color="red", weight=0]; 1165[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1165 -> 1486[label="",style="dashed", color="magenta", weight=3]; 1165 -> 1487[label="",style="dashed", color="magenta", weight=3]; 1166 -> 859[label="",style="dashed", color="red", weight=0]; 1166[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1166 -> 1488[label="",style="dashed", color="magenta", weight=3]; 1166 -> 1489[label="",style="dashed", color="magenta", weight=3]; 1167 -> 860[label="",style="dashed", color="red", weight=0]; 1167[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1167 -> 1490[label="",style="dashed", color="magenta", weight=3]; 1167 -> 1491[label="",style="dashed", color="magenta", weight=3]; 1168 -> 861[label="",style="dashed", color="red", weight=0]; 1168[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1168 -> 1492[label="",style="dashed", color="magenta", weight=3]; 1168 -> 1493[label="",style="dashed", color="magenta", weight=3]; 1169 -> 862[label="",style="dashed", color="red", weight=0]; 1169[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1169 -> 1494[label="",style="dashed", color="magenta", weight=3]; 1169 -> 1495[label="",style="dashed", color="magenta", weight=3]; 1170[label="ywz4000",fontsize=16,color="green",shape="box"];1171[label="ywz5000",fontsize=16,color="green",shape="box"];1172[label="ywz4000",fontsize=16,color="green",shape="box"];1173[label="ywz5000",fontsize=16,color="green",shape="box"];1174[label="ywz4000",fontsize=16,color="green",shape="box"];1175[label="ywz5000",fontsize=16,color="green",shape="box"];1176[label="ywz4000",fontsize=16,color="green",shape="box"];1177[label="ywz5000",fontsize=16,color="green",shape="box"];1178[label="ywz4000",fontsize=16,color="green",shape="box"];1179[label="ywz5000",fontsize=16,color="green",shape="box"];1180[label="ywz4000",fontsize=16,color="green",shape="box"];1181[label="ywz5000",fontsize=16,color="green",shape="box"];1182[label="ywz4000",fontsize=16,color="green",shape="box"];1183[label="ywz5000",fontsize=16,color="green",shape="box"];1184[label="ywz4000",fontsize=16,color="green",shape="box"];1185[label="ywz5000",fontsize=16,color="green",shape="box"];1186[label="ywz4000",fontsize=16,color="green",shape="box"];1187[label="ywz5000",fontsize=16,color="green",shape="box"];1188[label="ywz4000",fontsize=16,color="green",shape="box"];1189[label="ywz5000",fontsize=16,color="green",shape="box"];1190[label="ywz4000",fontsize=16,color="green",shape="box"];1191[label="ywz5000",fontsize=16,color="green",shape="box"];1192[label="ywz4000",fontsize=16,color="green",shape="box"];1193[label="ywz5000",fontsize=16,color="green",shape="box"];1194[label="ywz4000",fontsize=16,color="green",shape="box"];1195[label="ywz5000",fontsize=16,color="green",shape="box"];1196[label="ywz4000",fontsize=16,color="green",shape="box"];1197[label="ywz5000",fontsize=16,color="green",shape="box"];1198[label="ywz4000",fontsize=16,color="green",shape="box"];1199[label="ywz5000",fontsize=16,color="green",shape="box"];1200[label="ywz4000",fontsize=16,color="green",shape="box"];1201[label="ywz5000",fontsize=16,color="green",shape="box"];1202[label="ywz4000",fontsize=16,color="green",shape="box"];1203[label="ywz5000",fontsize=16,color="green",shape="box"];1204[label="ywz4000",fontsize=16,color="green",shape="box"];1205[label="ywz5000",fontsize=16,color="green",shape="box"];1206[label="ywz4000",fontsize=16,color="green",shape="box"];1207[label="ywz5000",fontsize=16,color="green",shape="box"];1208[label="ywz4000",fontsize=16,color="green",shape="box"];1209[label="ywz5000",fontsize=16,color="green",shape="box"];1210[label="ywz4000",fontsize=16,color="green",shape="box"];1211[label="ywz5000",fontsize=16,color="green",shape="box"];1212[label="ywz4000",fontsize=16,color="green",shape="box"];1213[label="ywz5000",fontsize=16,color="green",shape="box"];1214[label="ywz4000",fontsize=16,color="green",shape="box"];1215[label="ywz5000",fontsize=16,color="green",shape="box"];1216[label="ywz4000",fontsize=16,color="green",shape="box"];1217[label="ywz5000",fontsize=16,color="green",shape="box"];1218[label="ywz4000",fontsize=16,color="green",shape="box"];1219[label="ywz5000",fontsize=16,color="green",shape="box"];1220[label="ywz4000",fontsize=16,color="green",shape="box"];1221[label="ywz5000",fontsize=16,color="green",shape="box"];1222[label="ywz4000",fontsize=16,color="green",shape="box"];1223[label="ywz5000",fontsize=16,color="green",shape="box"];1224[label="ywz4000",fontsize=16,color="green",shape="box"];1225[label="ywz5000",fontsize=16,color="green",shape="box"];1226[label="ywz4001",fontsize=16,color="green",shape="box"];1227[label="ywz5001",fontsize=16,color="green",shape="box"];1228 -> 849[label="",style="dashed", color="red", weight=0]; 1228[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1228 -> 1496[label="",style="dashed", color="magenta", weight=3]; 1228 -> 1497[label="",style="dashed", color="magenta", weight=3]; 1229 -> 850[label="",style="dashed", color="red", weight=0]; 1229[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1229 -> 1498[label="",style="dashed", color="magenta", weight=3]; 1229 -> 1499[label="",style="dashed", color="magenta", weight=3]; 1230 -> 851[label="",style="dashed", color="red", weight=0]; 1230[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1230 -> 1500[label="",style="dashed", color="magenta", weight=3]; 1230 -> 1501[label="",style="dashed", color="magenta", weight=3]; 1231 -> 852[label="",style="dashed", color="red", weight=0]; 1231[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1231 -> 1502[label="",style="dashed", color="magenta", weight=3]; 1231 -> 1503[label="",style="dashed", color="magenta", weight=3]; 1232 -> 853[label="",style="dashed", color="red", weight=0]; 1232[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1232 -> 1504[label="",style="dashed", color="magenta", weight=3]; 1232 -> 1505[label="",style="dashed", color="magenta", weight=3]; 1233 -> 120[label="",style="dashed", color="red", weight=0]; 1233[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1233 -> 1506[label="",style="dashed", color="magenta", weight=3]; 1233 -> 1507[label="",style="dashed", color="magenta", weight=3]; 1234 -> 855[label="",style="dashed", color="red", weight=0]; 1234[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1234 -> 1508[label="",style="dashed", color="magenta", weight=3]; 1234 -> 1509[label="",style="dashed", color="magenta", weight=3]; 1235 -> 856[label="",style="dashed", color="red", weight=0]; 1235[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1235 -> 1510[label="",style="dashed", color="magenta", weight=3]; 1235 -> 1511[label="",style="dashed", color="magenta", weight=3]; 1236 -> 857[label="",style="dashed", color="red", weight=0]; 1236[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1236 -> 1512[label="",style="dashed", color="magenta", weight=3]; 1236 -> 1513[label="",style="dashed", color="magenta", weight=3]; 1237 -> 858[label="",style="dashed", color="red", weight=0]; 1237[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1237 -> 1514[label="",style="dashed", color="magenta", weight=3]; 1237 -> 1515[label="",style="dashed", color="magenta", weight=3]; 1238 -> 859[label="",style="dashed", color="red", weight=0]; 1238[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1238 -> 1516[label="",style="dashed", color="magenta", weight=3]; 1238 -> 1517[label="",style="dashed", color="magenta", weight=3]; 1239 -> 860[label="",style="dashed", color="red", weight=0]; 1239[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1239 -> 1518[label="",style="dashed", color="magenta", weight=3]; 1239 -> 1519[label="",style="dashed", color="magenta", weight=3]; 1240 -> 861[label="",style="dashed", color="red", weight=0]; 1240[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1240 -> 1520[label="",style="dashed", color="magenta", weight=3]; 1240 -> 1521[label="",style="dashed", color="magenta", weight=3]; 1241 -> 862[label="",style="dashed", color="red", weight=0]; 1241[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];1241 -> 1522[label="",style="dashed", color="magenta", weight=3]; 1241 -> 1523[label="",style="dashed", color="magenta", weight=3]; 1242[label="ywz4000",fontsize=16,color="green",shape="box"];1243[label="ywz5000",fontsize=16,color="green",shape="box"];1244[label="ywz4000",fontsize=16,color="green",shape="box"];1245[label="ywz5000",fontsize=16,color="green",shape="box"];1246[label="ywz4000",fontsize=16,color="green",shape="box"];1247[label="ywz5000",fontsize=16,color="green",shape="box"];1248[label="ywz4000",fontsize=16,color="green",shape="box"];1249[label="ywz5000",fontsize=16,color="green",shape="box"];1250[label="ywz4000",fontsize=16,color="green",shape="box"];1251[label="ywz5000",fontsize=16,color="green",shape="box"];1252[label="ywz4000",fontsize=16,color="green",shape="box"];1253[label="ywz5000",fontsize=16,color="green",shape="box"];1254[label="ywz4000",fontsize=16,color="green",shape="box"];1255[label="ywz5000",fontsize=16,color="green",shape="box"];1256[label="ywz4000",fontsize=16,color="green",shape="box"];1257[label="ywz5000",fontsize=16,color="green",shape="box"];1258[label="ywz4000",fontsize=16,color="green",shape="box"];1259[label="ywz5000",fontsize=16,color="green",shape="box"];1260[label="ywz4000",fontsize=16,color="green",shape="box"];1261[label="ywz5000",fontsize=16,color="green",shape="box"];1262[label="ywz4000",fontsize=16,color="green",shape="box"];1263[label="ywz5000",fontsize=16,color="green",shape="box"];1264[label="ywz4000",fontsize=16,color="green",shape="box"];1265[label="ywz5000",fontsize=16,color="green",shape="box"];1266[label="ywz4000",fontsize=16,color="green",shape="box"];1267[label="ywz5000",fontsize=16,color="green",shape="box"];1268[label="ywz4000",fontsize=16,color="green",shape="box"];1269[label="ywz5000",fontsize=16,color="green",shape="box"];1270[label="primEqInt (Pos (Succ ywz50000)) (Pos (Succ ywz40000))",fontsize=16,color="black",shape="box"];1270 -> 1524[label="",style="solid", color="black", weight=3]; 1271[label="primEqInt (Pos (Succ ywz50000)) (Pos Zero)",fontsize=16,color="black",shape="box"];1271 -> 1525[label="",style="solid", color="black", weight=3]; 1272[label="False",fontsize=16,color="green",shape="box"];1273[label="primEqInt (Pos Zero) (Pos (Succ ywz40000))",fontsize=16,color="black",shape="box"];1273 -> 1526[label="",style="solid", color="black", weight=3]; 1274[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1274 -> 1527[label="",style="solid", color="black", weight=3]; 1275[label="primEqInt (Pos Zero) (Neg (Succ ywz40000))",fontsize=16,color="black",shape="box"];1275 -> 1528[label="",style="solid", color="black", weight=3]; 1276[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1276 -> 1529[label="",style="solid", color="black", weight=3]; 1277[label="False",fontsize=16,color="green",shape="box"];1278[label="primEqInt (Neg (Succ ywz50000)) (Neg (Succ ywz40000))",fontsize=16,color="black",shape="box"];1278 -> 1530[label="",style="solid", color="black", weight=3]; 1279[label="primEqInt (Neg (Succ ywz50000)) (Neg Zero)",fontsize=16,color="black",shape="box"];1279 -> 1531[label="",style="solid", color="black", weight=3]; 1280[label="primEqInt (Neg Zero) (Pos (Succ ywz40000))",fontsize=16,color="black",shape="box"];1280 -> 1532[label="",style="solid", color="black", weight=3]; 1281[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];1281 -> 1533[label="",style="solid", color="black", weight=3]; 1282[label="primEqInt (Neg Zero) (Neg (Succ ywz40000))",fontsize=16,color="black",shape="box"];1282 -> 1534[label="",style="solid", color="black", weight=3]; 1283[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];1283 -> 1535[label="",style="solid", color="black", weight=3]; 3292[label="primPlusNat ywz2120 ywz400000",fontsize=16,color="burlywood",shape="triangle"];5121[label="ywz2120/Succ ywz21200",fontsize=10,color="white",style="solid",shape="box"];3292 -> 5121[label="",style="solid", color="burlywood", weight=9]; 5121 -> 3382[label="",style="solid", color="burlywood", weight=3]; 5122[label="ywz2120/Zero",fontsize=10,color="white",style="solid",shape="box"];3292 -> 5122[label="",style="solid", color="burlywood", weight=9]; 5122 -> 3383[label="",style="solid", color="burlywood", weight=3]; 3330 -> 3258[label="",style="dashed", color="red", weight=0]; 3330[label="primCmpNat ywz500000 ywz400000",fontsize=16,color="magenta"];3330 -> 3384[label="",style="dashed", color="magenta", weight=3]; 3330 -> 3385[label="",style="dashed", color="magenta", weight=3]; 3331[label="GT",fontsize=16,color="green",shape="box"];3332[label="LT",fontsize=16,color="green",shape="box"];3333[label="EQ",fontsize=16,color="green",shape="box"];3464[label="primCmpDouble (Double ywz5000 (Pos ywz50010)) ywz400",fontsize=16,color="burlywood",shape="box"];5123[label="ywz400/Double ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];3464 -> 5123[label="",style="solid", color="burlywood", weight=9]; 5123 -> 3639[label="",style="solid", color="burlywood", weight=3]; 3465[label="primCmpDouble (Double ywz5000 (Neg ywz50010)) ywz400",fontsize=16,color="burlywood",shape="box"];5124[label="ywz400/Double ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];3465 -> 5124[label="",style="solid", color="burlywood", weight=9]; 5124 -> 3640[label="",style="solid", color="burlywood", weight=3]; 3595[label="EQ",fontsize=16,color="green",shape="box"];3461[label="compare (ywz5000 * ywz4001) (ywz4000 * ywz5001)",fontsize=16,color="blue",shape="box"];5125[label="compare :: Integer -> Integer -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3461 -> 5125[label="",style="solid", color="blue", weight=9]; 5125 -> 3635[label="",style="solid", color="blue", weight=3]; 5126[label="compare :: Int -> Int -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3461 -> 5126[label="",style="solid", color="blue", weight=9]; 5126 -> 3636[label="",style="solid", color="blue", weight=3]; 4185[label="ywz4000",fontsize=16,color="green",shape="box"];4186[label="ywz5000",fontsize=16,color="green",shape="box"];4187[label="compare2 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4187 -> 4403[label="",style="solid", color="black", weight=3]; 4188[label="compare2 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4188 -> 4404[label="",style="solid", color="black", weight=3]; 4189[label="ywz4000",fontsize=16,color="green",shape="box"];4190[label="ywz5000",fontsize=16,color="green",shape="box"];4191[label="compare2 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4191 -> 4405[label="",style="solid", color="black", weight=3]; 4192[label="compare2 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4192 -> 4406[label="",style="solid", color="black", weight=3]; 4177[label="ywz4000",fontsize=16,color="green",shape="box"];4178[label="ywz5000",fontsize=16,color="green",shape="box"];4179[label="compare2 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4179 -> 4399[label="",style="solid", color="black", weight=3]; 4180[label="compare2 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4180 -> 4400[label="",style="solid", color="black", weight=3]; 3466[label="primCmpChar (Char ywz5000) (Char ywz4000)",fontsize=16,color="black",shape="box"];3466 -> 3641[label="",style="solid", color="black", weight=3]; 3591 -> 3717[label="",style="dashed", color="red", weight=0]; 3591[label="primCompAux ywz5000 ywz4000 (compare ywz5001 ywz4001)",fontsize=16,color="magenta"];3591 -> 3718[label="",style="dashed", color="magenta", weight=3]; 3592[label="GT",fontsize=16,color="green",shape="box"];3593[label="LT",fontsize=16,color="green",shape="box"];3594[label="EQ",fontsize=16,color="green",shape="box"];4173[label="ywz4000",fontsize=16,color="green",shape="box"];4174[label="ywz5000",fontsize=16,color="green",shape="box"];4175[label="compare2 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4175 -> 4397[label="",style="solid", color="black", weight=3]; 4176[label="compare2 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4176 -> 4398[label="",style="solid", color="black", weight=3]; 3462[label="primCmpFloat (Float ywz5000 (Pos ywz50010)) ywz400",fontsize=16,color="burlywood",shape="box"];5127[label="ywz400/Float ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];3462 -> 5127[label="",style="solid", color="burlywood", weight=9]; 5127 -> 3637[label="",style="solid", color="burlywood", weight=3]; 3463[label="primCmpFloat (Float ywz5000 (Neg ywz50010)) ywz400",fontsize=16,color="burlywood",shape="box"];5128[label="ywz400/Float ywz4000 ywz4001",fontsize=10,color="white",style="solid",shape="box"];3463 -> 5128[label="",style="solid", color="burlywood", weight=9]; 5128 -> 3638[label="",style="solid", color="burlywood", weight=3]; 3596 -> 2477[label="",style="dashed", color="red", weight=0]; 3596[label="primCmpInt ywz5000 ywz4000",fontsize=16,color="magenta"];3596 -> 3755[label="",style="dashed", color="magenta", weight=3]; 3596 -> 3756[label="",style="dashed", color="magenta", weight=3]; 4181[label="ywz4000",fontsize=16,color="green",shape="box"];4182[label="ywz5000",fontsize=16,color="green",shape="box"];4183[label="compare2 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4183 -> 4401[label="",style="solid", color="black", weight=3]; 4184[label="compare2 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4184 -> 4402[label="",style="solid", color="black", weight=3]; 4577[label="ywz374 ywz376 ywz373",fontsize=16,color="green",shape="box"];4577 -> 4581[label="",style="dashed", color="green", weight=3]; 4577 -> 4582[label="",style="dashed", color="green", weight=3]; 4584[label="Pos (Succ Zero) + FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348",fontsize=16,color="black",shape="box"];4584 -> 4586[label="",style="solid", color="black", weight=3]; 4583[label="primPlusInt ywz386 (FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348)",fontsize=16,color="burlywood",shape="triangle"];5129[label="ywz386/Pos ywz3860",fontsize=10,color="white",style="solid",shape="box"];4583 -> 5129[label="",style="solid", color="burlywood", weight=9]; 5129 -> 4587[label="",style="solid", color="burlywood", weight=3]; 5130[label="ywz386/Neg ywz3860",fontsize=10,color="white",style="solid",shape="box"];4583 -> 5130[label="",style="solid", color="burlywood", weight=9]; 5130 -> 4588[label="",style="solid", color="burlywood", weight=3]; 3344[label="ywz444",fontsize=16,color="green",shape="box"];3345[label="Pos (primPlusNat ywz17920 ywz2390)",fontsize=16,color="green",shape="box"];3345 -> 3400[label="",style="dashed", color="green", weight=3]; 3346[label="primMinusNat ywz17920 ywz2390",fontsize=16,color="burlywood",shape="triangle"];5131[label="ywz17920/Succ ywz179200",fontsize=10,color="white",style="solid",shape="box"];3346 -> 5131[label="",style="solid", color="burlywood", weight=9]; 5131 -> 3401[label="",style="solid", color="burlywood", weight=3]; 5132[label="ywz17920/Zero",fontsize=10,color="white",style="solid",shape="box"];3346 -> 5132[label="",style="solid", color="burlywood", weight=9]; 5132 -> 3402[label="",style="solid", color="burlywood", weight=3]; 3318 -> 3109[label="",style="dashed", color="red", weight=0]; 3318[label="FiniteMap.sizeFM ywz444",fontsize=16,color="magenta"];3318 -> 3403[label="",style="dashed", color="magenta", weight=3]; 3336 -> 3109[label="",style="dashed", color="red", weight=0]; 3336[label="FiniteMap.sizeFM ywz444",fontsize=16,color="magenta"];3336 -> 3404[label="",style="dashed", color="magenta", weight=3]; 3335[label="primPlusInt (Neg ywz17920) ywz240",fontsize=16,color="burlywood",shape="triangle"];5133[label="ywz240/Pos ywz2400",fontsize=10,color="white",style="solid",shape="box"];3335 -> 5133[label="",style="solid", color="burlywood", weight=9]; 5133 -> 3405[label="",style="solid", color="burlywood", weight=3]; 5134[label="ywz240/Neg ywz2400",fontsize=10,color="white",style="solid",shape="box"];3335 -> 5134[label="",style="solid", color="burlywood", weight=9]; 5134 -> 3406[label="",style="solid", color="burlywood", weight=3]; 3347[label="Pos Zero",fontsize=16,color="green",shape="box"];3348[label="ywz1792",fontsize=16,color="green",shape="box"];3377 -> 3364[label="",style="dashed", color="red", weight=0]; 3377[label="FiniteMap.mkBalBranch6Size_r ywz440 ywz441 ywz444 ywz179",fontsize=16,color="magenta"];3378 -> 2811[label="",style="dashed", color="red", weight=0]; 3378[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];3395[label="FiniteMap.mkBalBranch6MkBalBranch2 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 otherwise",fontsize=16,color="black",shape="box"];3395 -> 3411[label="",style="solid", color="black", weight=3]; 3396[label="FiniteMap.mkBalBranch6MkBalBranch1 ywz440 ywz441 ywz444 ywz179 ywz179 ywz444 ywz179",fontsize=16,color="burlywood",shape="box"];5135[label="ywz179/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];3396 -> 5135[label="",style="solid", color="burlywood", weight=9]; 5135 -> 3412[label="",style="solid", color="burlywood", weight=3]; 5136[label="ywz179/FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794",fontsize=10,color="white",style="solid",shape="box"];3396 -> 5136[label="",style="solid", color="burlywood", weight=9]; 5136 -> 3413[label="",style="solid", color="burlywood", weight=3]; 3380 -> 3407[label="",style="dashed", color="red", weight=0]; 3380[label="FiniteMap.mkBalBranch6MkBalBranch01 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 (FiniteMap.sizeFM ywz4443 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz4444)",fontsize=16,color="magenta"];3380 -> 3408[label="",style="dashed", color="magenta", weight=3]; 1340[label="FiniteMap.addToFM ywz44 Nothing ywz41",fontsize=16,color="black",shape="triangle"];1340 -> 1579[label="",style="solid", color="black", weight=3]; 1341[label="FiniteMap.mkVBalBranch4 Nothing ywz41 (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1341 -> 1580[label="",style="solid", color="black", weight=3]; 1342[label="FiniteMap.mkVBalBranch3 Nothing ywz41 (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444)",fontsize=16,color="black",shape="box"];1342 -> 1581[label="",style="solid", color="black", weight=3]; 1343[label="compare0 (Just ywz500) Nothing True",fontsize=16,color="black",shape="box"];1343 -> 1582[label="",style="solid", color="black", weight=3]; 1344[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1344 -> 1583[label="",style="solid", color="black", weight=3]; 1345[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1345 -> 1584[label="",style="solid", color="black", weight=3]; 1346[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1346 -> 1585[label="",style="solid", color="black", weight=3]; 1347[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1347 -> 1586[label="",style="solid", color="black", weight=3]; 1348[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5137[label="ywz500/(ywz5000,ywz5001)",fontsize=10,color="white",style="solid",shape="box"];1348 -> 5137[label="",style="solid", color="burlywood", weight=9]; 5137 -> 1587[label="",style="solid", color="burlywood", weight=3]; 1349[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5138[label="ywz500/LT",fontsize=10,color="white",style="solid",shape="box"];1349 -> 5138[label="",style="solid", color="burlywood", weight=9]; 5138 -> 1588[label="",style="solid", color="burlywood", weight=3]; 5139[label="ywz500/EQ",fontsize=10,color="white",style="solid",shape="box"];1349 -> 5139[label="",style="solid", color="burlywood", weight=9]; 5139 -> 1589[label="",style="solid", color="burlywood", weight=3]; 5140[label="ywz500/GT",fontsize=10,color="white",style="solid",shape="box"];1349 -> 5140[label="",style="solid", color="burlywood", weight=9]; 5140 -> 1590[label="",style="solid", color="burlywood", weight=3]; 1350[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5141[label="ywz500/(ywz5000,ywz5001,ywz5002)",fontsize=10,color="white",style="solid",shape="box"];1350 -> 5141[label="",style="solid", color="burlywood", weight=9]; 5141 -> 1591[label="",style="solid", color="burlywood", weight=3]; 1351[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5142[label="ywz500/Left ywz5000",fontsize=10,color="white",style="solid",shape="box"];1351 -> 5142[label="",style="solid", color="burlywood", weight=9]; 5142 -> 1592[label="",style="solid", color="burlywood", weight=3]; 5143[label="ywz500/Right ywz5000",fontsize=10,color="white",style="solid",shape="box"];1351 -> 5143[label="",style="solid", color="burlywood", weight=9]; 5143 -> 1593[label="",style="solid", color="burlywood", weight=3]; 1352[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5144[label="ywz500/False",fontsize=10,color="white",style="solid",shape="box"];1352 -> 5144[label="",style="solid", color="burlywood", weight=9]; 5144 -> 1594[label="",style="solid", color="burlywood", weight=3]; 5145[label="ywz500/True",fontsize=10,color="white",style="solid",shape="box"];1352 -> 5145[label="",style="solid", color="burlywood", weight=9]; 5145 -> 1595[label="",style="solid", color="burlywood", weight=3]; 1353[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1353 -> 1596[label="",style="solid", color="black", weight=3]; 1354[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1354 -> 1597[label="",style="solid", color="black", weight=3]; 1355[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1355 -> 1598[label="",style="solid", color="black", weight=3]; 1356[label="ywz500 <= ywz400",fontsize=16,color="burlywood",shape="triangle"];5146[label="ywz500/Nothing",fontsize=10,color="white",style="solid",shape="box"];1356 -> 5146[label="",style="solid", color="burlywood", weight=9]; 5146 -> 1599[label="",style="solid", color="burlywood", weight=3]; 5147[label="ywz500/Just ywz5000",fontsize=10,color="white",style="solid",shape="box"];1356 -> 5147[label="",style="solid", color="burlywood", weight=9]; 5147 -> 1600[label="",style="solid", color="burlywood", weight=3]; 1357[label="ywz500 <= ywz400",fontsize=16,color="black",shape="triangle"];1357 -> 1601[label="",style="solid", color="black", weight=3]; 1358[label="compare1 (Just ywz109) (Just ywz110) False",fontsize=16,color="black",shape="box"];1358 -> 1602[label="",style="solid", color="black", weight=3]; 1359[label="compare1 (Just ywz109) (Just ywz110) True",fontsize=16,color="black",shape="box"];1359 -> 1603[label="",style="solid", color="black", weight=3]; 1360[label="FiniteMap.addToFM ywz44 (Just ywz400) ywz41",fontsize=16,color="black",shape="triangle"];1360 -> 1604[label="",style="solid", color="black", weight=3]; 1361[label="FiniteMap.mkVBalBranch4 (Just ywz400) ywz41 (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];1361 -> 1605[label="",style="solid", color="black", weight=3]; 1362[label="FiniteMap.mkVBalBranch3 (Just ywz400) ywz41 (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444)",fontsize=16,color="black",shape="box"];1362 -> 1606[label="",style="solid", color="black", weight=3]; 1363[label="ywz4001",fontsize=16,color="green",shape="box"];1364[label="ywz5001",fontsize=16,color="green",shape="box"];1365[label="ywz4001",fontsize=16,color="green",shape="box"];1366[label="ywz5001",fontsize=16,color="green",shape="box"];1367[label="ywz4000",fontsize=16,color="green",shape="box"];1368[label="ywz5000",fontsize=16,color="green",shape="box"];1369[label="ywz4000",fontsize=16,color="green",shape="box"];1370[label="ywz5000",fontsize=16,color="green",shape="box"];1371[label="False",fontsize=16,color="green",shape="box"];1372[label="ywz116",fontsize=16,color="green",shape="box"];1374[label="ywz4001",fontsize=16,color="green",shape="box"];1375[label="ywz5000",fontsize=16,color="green",shape="box"];1376[label="ywz4000",fontsize=16,color="green",shape="box"];1377[label="ywz5001",fontsize=16,color="green",shape="box"];1378[label="ywz4001",fontsize=16,color="green",shape="box"];1379[label="ywz5000",fontsize=16,color="green",shape="box"];1380[label="primEqNat (Succ ywz50000) (Succ ywz40000)",fontsize=16,color="black",shape="box"];1380 -> 1609[label="",style="solid", color="black", weight=3]; 1381[label="primEqNat (Succ ywz50000) Zero",fontsize=16,color="black",shape="box"];1381 -> 1610[label="",style="solid", color="black", weight=3]; 1382[label="primEqNat Zero (Succ ywz40000)",fontsize=16,color="black",shape="box"];1382 -> 1611[label="",style="solid", color="black", weight=3]; 1383[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];1383 -> 1612[label="",style="solid", color="black", weight=3]; 1384[label="ywz4001",fontsize=16,color="green",shape="box"];1385[label="ywz5001",fontsize=16,color="green",shape="box"];1386[label="ywz4001",fontsize=16,color="green",shape="box"];1387[label="ywz5001",fontsize=16,color="green",shape="box"];1388[label="ywz4001",fontsize=16,color="green",shape="box"];1389[label="ywz5001",fontsize=16,color="green",shape="box"];1390[label="ywz4001",fontsize=16,color="green",shape="box"];1391[label="ywz5001",fontsize=16,color="green",shape="box"];1392[label="ywz4001",fontsize=16,color="green",shape="box"];1393[label="ywz5001",fontsize=16,color="green",shape="box"];1394[label="ywz4001",fontsize=16,color="green",shape="box"];1395[label="ywz5001",fontsize=16,color="green",shape="box"];1396[label="ywz4001",fontsize=16,color="green",shape="box"];1397[label="ywz5001",fontsize=16,color="green",shape="box"];1398[label="ywz4001",fontsize=16,color="green",shape="box"];1399[label="ywz5001",fontsize=16,color="green",shape="box"];1400[label="ywz4001",fontsize=16,color="green",shape="box"];1401[label="ywz5001",fontsize=16,color="green",shape="box"];1402[label="ywz4001",fontsize=16,color="green",shape="box"];1403[label="ywz5001",fontsize=16,color="green",shape="box"];1404[label="ywz4001",fontsize=16,color="green",shape="box"];1405[label="ywz5001",fontsize=16,color="green",shape="box"];1406[label="ywz4001",fontsize=16,color="green",shape="box"];1407[label="ywz5001",fontsize=16,color="green",shape="box"];1408[label="ywz4001",fontsize=16,color="green",shape="box"];1409[label="ywz5001",fontsize=16,color="green",shape="box"];1410[label="ywz4001",fontsize=16,color="green",shape="box"];1411[label="ywz5001",fontsize=16,color="green",shape="box"];1412[label="ywz4000",fontsize=16,color="green",shape="box"];1413[label="ywz5000",fontsize=16,color="green",shape="box"];1414[label="ywz4000",fontsize=16,color="green",shape="box"];1415[label="ywz5000",fontsize=16,color="green",shape="box"];1416[label="ywz4000",fontsize=16,color="green",shape="box"];1417[label="ywz5000",fontsize=16,color="green",shape="box"];1418[label="ywz4000",fontsize=16,color="green",shape="box"];1419[label="ywz5000",fontsize=16,color="green",shape="box"];1420[label="ywz4000",fontsize=16,color="green",shape="box"];1421[label="ywz5000",fontsize=16,color="green",shape="box"];1422[label="ywz4000",fontsize=16,color="green",shape="box"];1423[label="ywz5000",fontsize=16,color="green",shape="box"];1424[label="ywz4000",fontsize=16,color="green",shape="box"];1425[label="ywz5000",fontsize=16,color="green",shape="box"];1426[label="ywz4000",fontsize=16,color="green",shape="box"];1427[label="ywz5000",fontsize=16,color="green",shape="box"];1428[label="ywz4000",fontsize=16,color="green",shape="box"];1429[label="ywz5000",fontsize=16,color="green",shape="box"];1430[label="ywz4000",fontsize=16,color="green",shape="box"];1431[label="ywz5000",fontsize=16,color="green",shape="box"];1432[label="ywz4000",fontsize=16,color="green",shape="box"];1433[label="ywz5000",fontsize=16,color="green",shape="box"];1434[label="ywz4000",fontsize=16,color="green",shape="box"];1435[label="ywz5000",fontsize=16,color="green",shape="box"];1436[label="ywz4000",fontsize=16,color="green",shape="box"];1437[label="ywz5000",fontsize=16,color="green",shape="box"];1438[label="ywz4000",fontsize=16,color="green",shape="box"];1439[label="ywz5000",fontsize=16,color="green",shape="box"];1440 -> 849[label="",style="dashed", color="red", weight=0]; 1440[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1440 -> 1613[label="",style="dashed", color="magenta", weight=3]; 1440 -> 1614[label="",style="dashed", color="magenta", weight=3]; 1441 -> 850[label="",style="dashed", color="red", weight=0]; 1441[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1441 -> 1615[label="",style="dashed", color="magenta", weight=3]; 1441 -> 1616[label="",style="dashed", color="magenta", weight=3]; 1442 -> 851[label="",style="dashed", color="red", weight=0]; 1442[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1442 -> 1617[label="",style="dashed", color="magenta", weight=3]; 1442 -> 1618[label="",style="dashed", color="magenta", weight=3]; 1443 -> 852[label="",style="dashed", color="red", weight=0]; 1443[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1443 -> 1619[label="",style="dashed", color="magenta", weight=3]; 1443 -> 1620[label="",style="dashed", color="magenta", weight=3]; 1444 -> 853[label="",style="dashed", color="red", weight=0]; 1444[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1444 -> 1621[label="",style="dashed", color="magenta", weight=3]; 1444 -> 1622[label="",style="dashed", color="magenta", weight=3]; 1445 -> 120[label="",style="dashed", color="red", weight=0]; 1445[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1445 -> 1623[label="",style="dashed", color="magenta", weight=3]; 1445 -> 1624[label="",style="dashed", color="magenta", weight=3]; 1446 -> 855[label="",style="dashed", color="red", weight=0]; 1446[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1446 -> 1625[label="",style="dashed", color="magenta", weight=3]; 1446 -> 1626[label="",style="dashed", color="magenta", weight=3]; 1447 -> 856[label="",style="dashed", color="red", weight=0]; 1447[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1447 -> 1627[label="",style="dashed", color="magenta", weight=3]; 1447 -> 1628[label="",style="dashed", color="magenta", weight=3]; 1448 -> 857[label="",style="dashed", color="red", weight=0]; 1448[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1448 -> 1629[label="",style="dashed", color="magenta", weight=3]; 1448 -> 1630[label="",style="dashed", color="magenta", weight=3]; 1449 -> 858[label="",style="dashed", color="red", weight=0]; 1449[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1449 -> 1631[label="",style="dashed", color="magenta", weight=3]; 1449 -> 1632[label="",style="dashed", color="magenta", weight=3]; 1450 -> 859[label="",style="dashed", color="red", weight=0]; 1450[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1450 -> 1633[label="",style="dashed", color="magenta", weight=3]; 1450 -> 1634[label="",style="dashed", color="magenta", weight=3]; 1451 -> 860[label="",style="dashed", color="red", weight=0]; 1451[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1451 -> 1635[label="",style="dashed", color="magenta", weight=3]; 1451 -> 1636[label="",style="dashed", color="magenta", weight=3]; 1452 -> 861[label="",style="dashed", color="red", weight=0]; 1452[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1452 -> 1637[label="",style="dashed", color="magenta", weight=3]; 1452 -> 1638[label="",style="dashed", color="magenta", weight=3]; 1453 -> 862[label="",style="dashed", color="red", weight=0]; 1453[label="ywz5002 == ywz4002",fontsize=16,color="magenta"];1453 -> 1639[label="",style="dashed", color="magenta", weight=3]; 1453 -> 1640[label="",style="dashed", color="magenta", weight=3]; 1454 -> 849[label="",style="dashed", color="red", weight=0]; 1454[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1454 -> 1641[label="",style="dashed", color="magenta", weight=3]; 1454 -> 1642[label="",style="dashed", color="magenta", weight=3]; 1455 -> 850[label="",style="dashed", color="red", weight=0]; 1455[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1455 -> 1643[label="",style="dashed", color="magenta", weight=3]; 1455 -> 1644[label="",style="dashed", color="magenta", weight=3]; 1456 -> 851[label="",style="dashed", color="red", weight=0]; 1456[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1456 -> 1645[label="",style="dashed", color="magenta", weight=3]; 1456 -> 1646[label="",style="dashed", color="magenta", weight=3]; 1457 -> 852[label="",style="dashed", color="red", weight=0]; 1457[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1457 -> 1647[label="",style="dashed", color="magenta", weight=3]; 1457 -> 1648[label="",style="dashed", color="magenta", weight=3]; 1458 -> 853[label="",style="dashed", color="red", weight=0]; 1458[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1458 -> 1649[label="",style="dashed", color="magenta", weight=3]; 1458 -> 1650[label="",style="dashed", color="magenta", weight=3]; 1459 -> 120[label="",style="dashed", color="red", weight=0]; 1459[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1459 -> 1651[label="",style="dashed", color="magenta", weight=3]; 1459 -> 1652[label="",style="dashed", color="magenta", weight=3]; 1460 -> 855[label="",style="dashed", color="red", weight=0]; 1460[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1460 -> 1653[label="",style="dashed", color="magenta", weight=3]; 1460 -> 1654[label="",style="dashed", color="magenta", weight=3]; 1461 -> 856[label="",style="dashed", color="red", weight=0]; 1461[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1461 -> 1655[label="",style="dashed", color="magenta", weight=3]; 1461 -> 1656[label="",style="dashed", color="magenta", weight=3]; 1462 -> 857[label="",style="dashed", color="red", weight=0]; 1462[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1462 -> 1657[label="",style="dashed", color="magenta", weight=3]; 1462 -> 1658[label="",style="dashed", color="magenta", weight=3]; 1463 -> 858[label="",style="dashed", color="red", weight=0]; 1463[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1463 -> 1659[label="",style="dashed", color="magenta", weight=3]; 1463 -> 1660[label="",style="dashed", color="magenta", weight=3]; 1464 -> 859[label="",style="dashed", color="red", weight=0]; 1464[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1464 -> 1661[label="",style="dashed", color="magenta", weight=3]; 1464 -> 1662[label="",style="dashed", color="magenta", weight=3]; 1465 -> 860[label="",style="dashed", color="red", weight=0]; 1465[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1465 -> 1663[label="",style="dashed", color="magenta", weight=3]; 1465 -> 1664[label="",style="dashed", color="magenta", weight=3]; 1466 -> 861[label="",style="dashed", color="red", weight=0]; 1466[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1466 -> 1665[label="",style="dashed", color="magenta", weight=3]; 1466 -> 1666[label="",style="dashed", color="magenta", weight=3]; 1467 -> 862[label="",style="dashed", color="red", weight=0]; 1467[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];1467 -> 1667[label="",style="dashed", color="magenta", weight=3]; 1467 -> 1668[label="",style="dashed", color="magenta", weight=3]; 1468[label="ywz4000",fontsize=16,color="green",shape="box"];1469[label="ywz5000",fontsize=16,color="green",shape="box"];1470[label="ywz4000",fontsize=16,color="green",shape="box"];1471[label="ywz5000",fontsize=16,color="green",shape="box"];1472[label="ywz4000",fontsize=16,color="green",shape="box"];1473[label="ywz5000",fontsize=16,color="green",shape="box"];1474[label="ywz4000",fontsize=16,color="green",shape="box"];1475[label="ywz5000",fontsize=16,color="green",shape="box"];1476[label="ywz4000",fontsize=16,color="green",shape="box"];1477[label="ywz5000",fontsize=16,color="green",shape="box"];1478[label="ywz4000",fontsize=16,color="green",shape="box"];1479[label="ywz5000",fontsize=16,color="green",shape="box"];1480[label="ywz4000",fontsize=16,color="green",shape="box"];1481[label="ywz5000",fontsize=16,color="green",shape="box"];1482[label="ywz4000",fontsize=16,color="green",shape="box"];1483[label="ywz5000",fontsize=16,color="green",shape="box"];1484[label="ywz4000",fontsize=16,color="green",shape="box"];1485[label="ywz5000",fontsize=16,color="green",shape="box"];1486[label="ywz4000",fontsize=16,color="green",shape="box"];1487[label="ywz5000",fontsize=16,color="green",shape="box"];1488[label="ywz4000",fontsize=16,color="green",shape="box"];1489[label="ywz5000",fontsize=16,color="green",shape="box"];1490[label="ywz4000",fontsize=16,color="green",shape="box"];1491[label="ywz5000",fontsize=16,color="green",shape="box"];1492[label="ywz4000",fontsize=16,color="green",shape="box"];1493[label="ywz5000",fontsize=16,color="green",shape="box"];1494[label="ywz4000",fontsize=16,color="green",shape="box"];1495[label="ywz5000",fontsize=16,color="green",shape="box"];1496[label="ywz4000",fontsize=16,color="green",shape="box"];1497[label="ywz5000",fontsize=16,color="green",shape="box"];1498[label="ywz4000",fontsize=16,color="green",shape="box"];1499[label="ywz5000",fontsize=16,color="green",shape="box"];1500[label="ywz4000",fontsize=16,color="green",shape="box"];1501[label="ywz5000",fontsize=16,color="green",shape="box"];1502[label="ywz4000",fontsize=16,color="green",shape="box"];1503[label="ywz5000",fontsize=16,color="green",shape="box"];1504[label="ywz4000",fontsize=16,color="green",shape="box"];1505[label="ywz5000",fontsize=16,color="green",shape="box"];1506[label="ywz4000",fontsize=16,color="green",shape="box"];1507[label="ywz5000",fontsize=16,color="green",shape="box"];1508[label="ywz4000",fontsize=16,color="green",shape="box"];1509[label="ywz5000",fontsize=16,color="green",shape="box"];1510[label="ywz4000",fontsize=16,color="green",shape="box"];1511[label="ywz5000",fontsize=16,color="green",shape="box"];1512[label="ywz4000",fontsize=16,color="green",shape="box"];1513[label="ywz5000",fontsize=16,color="green",shape="box"];1514[label="ywz4000",fontsize=16,color="green",shape="box"];1515[label="ywz5000",fontsize=16,color="green",shape="box"];1516[label="ywz4000",fontsize=16,color="green",shape="box"];1517[label="ywz5000",fontsize=16,color="green",shape="box"];1518[label="ywz4000",fontsize=16,color="green",shape="box"];1519[label="ywz5000",fontsize=16,color="green",shape="box"];1520[label="ywz4000",fontsize=16,color="green",shape="box"];1521[label="ywz5000",fontsize=16,color="green",shape="box"];1522[label="ywz4000",fontsize=16,color="green",shape="box"];1523[label="ywz5000",fontsize=16,color="green",shape="box"];1524 -> 1003[label="",style="dashed", color="red", weight=0]; 1524[label="primEqNat ywz50000 ywz40000",fontsize=16,color="magenta"];1524 -> 1669[label="",style="dashed", color="magenta", weight=3]; 1524 -> 1670[label="",style="dashed", color="magenta", weight=3]; 1525[label="False",fontsize=16,color="green",shape="box"];1526[label="False",fontsize=16,color="green",shape="box"];1527[label="True",fontsize=16,color="green",shape="box"];1528[label="False",fontsize=16,color="green",shape="box"];1529[label="True",fontsize=16,color="green",shape="box"];1530 -> 1003[label="",style="dashed", color="red", weight=0]; 1530[label="primEqNat ywz50000 ywz40000",fontsize=16,color="magenta"];1530 -> 1671[label="",style="dashed", color="magenta", weight=3]; 1530 -> 1672[label="",style="dashed", color="magenta", weight=3]; 1531[label="False",fontsize=16,color="green",shape="box"];1532[label="False",fontsize=16,color="green",shape="box"];1533[label="True",fontsize=16,color="green",shape="box"];1534[label="False",fontsize=16,color="green",shape="box"];1535[label="True",fontsize=16,color="green",shape="box"];3382[label="primPlusNat (Succ ywz21200) ywz400000",fontsize=16,color="burlywood",shape="box"];5148[label="ywz400000/Succ ywz4000000",fontsize=10,color="white",style="solid",shape="box"];3382 -> 5148[label="",style="solid", color="burlywood", weight=9]; 5148 -> 3420[label="",style="solid", color="burlywood", weight=3]; 5149[label="ywz400000/Zero",fontsize=10,color="white",style="solid",shape="box"];3382 -> 5149[label="",style="solid", color="burlywood", weight=9]; 5149 -> 3421[label="",style="solid", color="burlywood", weight=3]; 3383[label="primPlusNat Zero ywz400000",fontsize=16,color="burlywood",shape="box"];5150[label="ywz400000/Succ ywz4000000",fontsize=10,color="white",style="solid",shape="box"];3383 -> 5150[label="",style="solid", color="burlywood", weight=9]; 5150 -> 3422[label="",style="solid", color="burlywood", weight=3]; 5151[label="ywz400000/Zero",fontsize=10,color="white",style="solid",shape="box"];3383 -> 5151[label="",style="solid", color="burlywood", weight=9]; 5151 -> 3423[label="",style="solid", color="burlywood", weight=3]; 3384[label="ywz400000",fontsize=16,color="green",shape="box"];3385[label="ywz500000",fontsize=16,color="green",shape="box"];3639[label="primCmpDouble (Double ywz5000 (Pos ywz50010)) (Double ywz4000 ywz4001)",fontsize=16,color="burlywood",shape="box"];5152[label="ywz4001/Pos ywz40010",fontsize=10,color="white",style="solid",shape="box"];3639 -> 5152[label="",style="solid", color="burlywood", weight=9]; 5152 -> 3867[label="",style="solid", color="burlywood", weight=3]; 5153[label="ywz4001/Neg ywz40010",fontsize=10,color="white",style="solid",shape="box"];3639 -> 5153[label="",style="solid", color="burlywood", weight=9]; 5153 -> 3868[label="",style="solid", color="burlywood", weight=3]; 3640[label="primCmpDouble (Double ywz5000 (Neg ywz50010)) (Double ywz4000 ywz4001)",fontsize=16,color="burlywood",shape="box"];5154[label="ywz4001/Pos ywz40010",fontsize=10,color="white",style="solid",shape="box"];3640 -> 5154[label="",style="solid", color="burlywood", weight=9]; 5154 -> 3869[label="",style="solid", color="burlywood", weight=3]; 5155[label="ywz4001/Neg ywz40010",fontsize=10,color="white",style="solid",shape="box"];3640 -> 5155[label="",style="solid", color="burlywood", weight=9]; 5155 -> 3870[label="",style="solid", color="burlywood", weight=3]; 3635 -> 2068[label="",style="dashed", color="red", weight=0]; 3635[label="compare (ywz5000 * ywz4001) (ywz4000 * ywz5001)",fontsize=16,color="magenta"];3635 -> 3859[label="",style="dashed", color="magenta", weight=3]; 3635 -> 3860[label="",style="dashed", color="magenta", weight=3]; 3636 -> 2084[label="",style="dashed", color="red", weight=0]; 3636[label="compare (ywz5000 * ywz4001) (ywz4000 * ywz5001)",fontsize=16,color="magenta"];3636 -> 3861[label="",style="dashed", color="magenta", weight=3]; 3636 -> 3862[label="",style="dashed", color="magenta", weight=3]; 4403 -> 4472[label="",style="dashed", color="red", weight=0]; 4403[label="compare1 ywz5000 ywz4000 (ywz5000 <= ywz4000)",fontsize=16,color="magenta"];4403 -> 4473[label="",style="dashed", color="magenta", weight=3]; 4404[label="EQ",fontsize=16,color="green",shape="box"];4405 -> 4495[label="",style="dashed", color="red", weight=0]; 4405[label="compare1 ywz5000 ywz4000 (ywz5000 <= ywz4000)",fontsize=16,color="magenta"];4405 -> 4496[label="",style="dashed", color="magenta", weight=3]; 4406[label="EQ",fontsize=16,color="green",shape="box"];4399 -> 4546[label="",style="dashed", color="red", weight=0]; 4399[label="compare1 ywz5000 ywz4000 (ywz5000 <= ywz4000)",fontsize=16,color="magenta"];4399 -> 4547[label="",style="dashed", color="magenta", weight=3]; 4400[label="EQ",fontsize=16,color="green",shape="box"];3641 -> 3258[label="",style="dashed", color="red", weight=0]; 3641[label="primCmpNat ywz5000 ywz4000",fontsize=16,color="magenta"];3641 -> 3871[label="",style="dashed", color="magenta", weight=3]; 3641 -> 3872[label="",style="dashed", color="magenta", weight=3]; 3718 -> 2064[label="",style="dashed", color="red", weight=0]; 3718[label="compare ywz5001 ywz4001",fontsize=16,color="magenta"];3718 -> 3934[label="",style="dashed", color="magenta", weight=3]; 3718 -> 3935[label="",style="dashed", color="magenta", weight=3]; 3717[label="primCompAux ywz5000 ywz4000 ywz253",fontsize=16,color="black",shape="triangle"];3717 -> 3936[label="",style="solid", color="black", weight=3]; 4397 -> 4575[label="",style="dashed", color="red", weight=0]; 4397[label="compare1 ywz5000 ywz4000 (ywz5000 <= ywz4000)",fontsize=16,color="magenta"];4397 -> 4576[label="",style="dashed", color="magenta", weight=3]; 4398[label="EQ",fontsize=16,color="green",shape="box"];3637[label="primCmpFloat (Float ywz5000 (Pos ywz50010)) (Float ywz4000 ywz4001)",fontsize=16,color="burlywood",shape="box"];5156[label="ywz4001/Pos ywz40010",fontsize=10,color="white",style="solid",shape="box"];3637 -> 5156[label="",style="solid", color="burlywood", weight=9]; 5156 -> 3863[label="",style="solid", color="burlywood", weight=3]; 5157[label="ywz4001/Neg ywz40010",fontsize=10,color="white",style="solid",shape="box"];3637 -> 5157[label="",style="solid", color="burlywood", weight=9]; 5157 -> 3864[label="",style="solid", color="burlywood", weight=3]; 3638[label="primCmpFloat (Float ywz5000 (Neg ywz50010)) (Float ywz4000 ywz4001)",fontsize=16,color="burlywood",shape="box"];5158[label="ywz4001/Pos ywz40010",fontsize=10,color="white",style="solid",shape="box"];3638 -> 5158[label="",style="solid", color="burlywood", weight=9]; 5158 -> 3865[label="",style="solid", color="burlywood", weight=3]; 5159[label="ywz4001/Neg ywz40010",fontsize=10,color="white",style="solid",shape="box"];3638 -> 5159[label="",style="solid", color="burlywood", weight=9]; 5159 -> 3866[label="",style="solid", color="burlywood", weight=3]; 3755[label="ywz4000",fontsize=16,color="green",shape="box"];3756[label="ywz5000",fontsize=16,color="green",shape="box"];4401 -> 4579[label="",style="dashed", color="red", weight=0]; 4401[label="compare1 ywz5000 ywz4000 (ywz5000 <= ywz4000)",fontsize=16,color="magenta"];4401 -> 4580[label="",style="dashed", color="magenta", weight=3]; 4402[label="EQ",fontsize=16,color="green",shape="box"];4581[label="ywz376",fontsize=16,color="green",shape="box"];4582[label="ywz373",fontsize=16,color="green",shape="box"];4586 -> 3313[label="",style="dashed", color="red", weight=0]; 4586[label="primPlusInt (Pos (Succ Zero)) (FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348)",fontsize=16,color="magenta"];4586 -> 4610[label="",style="dashed", color="magenta", weight=3]; 4586 -> 4611[label="",style="dashed", color="magenta", weight=3]; 4587[label="primPlusInt (Pos ywz3860) (FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348)",fontsize=16,color="black",shape="box"];4587 -> 4612[label="",style="solid", color="black", weight=3]; 4588[label="primPlusInt (Neg ywz3860) (FiniteMap.mkBranchRight_size ywz350 ywz351 ywz348)",fontsize=16,color="black",shape="box"];4588 -> 4613[label="",style="solid", color="black", weight=3]; 3400 -> 3292[label="",style="dashed", color="red", weight=0]; 3400[label="primPlusNat ywz17920 ywz2390",fontsize=16,color="magenta"];3400 -> 3428[label="",style="dashed", color="magenta", weight=3]; 3400 -> 3429[label="",style="dashed", color="magenta", weight=3]; 3401[label="primMinusNat (Succ ywz179200) ywz2390",fontsize=16,color="burlywood",shape="box"];5160[label="ywz2390/Succ ywz23900",fontsize=10,color="white",style="solid",shape="box"];3401 -> 5160[label="",style="solid", color="burlywood", weight=9]; 5160 -> 3430[label="",style="solid", color="burlywood", weight=3]; 5161[label="ywz2390/Zero",fontsize=10,color="white",style="solid",shape="box"];3401 -> 5161[label="",style="solid", color="burlywood", weight=9]; 5161 -> 3431[label="",style="solid", color="burlywood", weight=3]; 3402[label="primMinusNat Zero ywz2390",fontsize=16,color="burlywood",shape="box"];5162[label="ywz2390/Succ ywz23900",fontsize=10,color="white",style="solid",shape="box"];3402 -> 5162[label="",style="solid", color="burlywood", weight=9]; 5162 -> 3432[label="",style="solid", color="burlywood", weight=3]; 5163[label="ywz2390/Zero",fontsize=10,color="white",style="solid",shape="box"];3402 -> 5163[label="",style="solid", color="burlywood", weight=9]; 5163 -> 3433[label="",style="solid", color="burlywood", weight=3]; 3403[label="ywz444",fontsize=16,color="green",shape="box"];3404[label="ywz444",fontsize=16,color="green",shape="box"];3405[label="primPlusInt (Neg ywz17920) (Pos ywz2400)",fontsize=16,color="black",shape="box"];3405 -> 3434[label="",style="solid", color="black", weight=3]; 3406[label="primPlusInt (Neg ywz17920) (Neg ywz2400)",fontsize=16,color="black",shape="box"];3406 -> 3435[label="",style="solid", color="black", weight=3]; 3411[label="FiniteMap.mkBalBranch6MkBalBranch2 ywz440 ywz441 ywz444 ywz179 ywz440 ywz441 ywz179 ywz444 True",fontsize=16,color="black",shape="box"];3411 -> 3436[label="",style="solid", color="black", weight=3]; 3412[label="FiniteMap.mkBalBranch6MkBalBranch1 ywz440 ywz441 ywz444 FiniteMap.EmptyFM FiniteMap.EmptyFM ywz444 FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];3412 -> 3437[label="",style="solid", color="black", weight=3]; 3413[label="FiniteMap.mkBalBranch6MkBalBranch1 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794)",fontsize=16,color="black",shape="box"];3413 -> 3438[label="",style="solid", color="black", weight=3]; 3408 -> 2792[label="",style="dashed", color="red", weight=0]; 3408[label="FiniteMap.sizeFM ywz4443 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz4444",fontsize=16,color="magenta"];3408 -> 3439[label="",style="dashed", color="magenta", weight=3]; 3408 -> 3440[label="",style="dashed", color="magenta", weight=3]; 3407[label="FiniteMap.mkBalBranch6MkBalBranch01 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 ywz248",fontsize=16,color="burlywood",shape="triangle"];5164[label="ywz248/False",fontsize=10,color="white",style="solid",shape="box"];3407 -> 5164[label="",style="solid", color="burlywood", weight=9]; 5164 -> 3441[label="",style="solid", color="burlywood", weight=3]; 5165[label="ywz248/True",fontsize=10,color="white",style="solid",shape="box"];3407 -> 5165[label="",style="solid", color="burlywood", weight=9]; 5165 -> 3442[label="",style="solid", color="burlywood", weight=3]; 1579[label="FiniteMap.addToFM_C FiniteMap.addToFM0 ywz44 Nothing ywz41",fontsize=16,color="burlywood",shape="triangle"];5166[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];1579 -> 5166[label="",style="solid", color="burlywood", weight=9]; 5166 -> 1737[label="",style="solid", color="burlywood", weight=3]; 5167[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];1579 -> 5167[label="",style="solid", color="burlywood", weight=9]; 5167 -> 1738[label="",style="solid", color="burlywood", weight=3]; 1580 -> 1340[label="",style="dashed", color="red", weight=0]; 1580[label="FiniteMap.addToFM (FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714) Nothing ywz41",fontsize=16,color="magenta"];1580 -> 1739[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2523[label="",style="dashed", color="red", weight=0]; 1581[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714 Nothing ywz41 ywz710 ywz711 ywz712 ywz713 ywz714 ywz440 ywz441 ywz442 ywz443 ywz444 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714 < FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714)",fontsize=16,color="magenta"];1581 -> 2624[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2625[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2626[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2627[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2628[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2629[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2630[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2631[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2632[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2633[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2634[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2635[label="",style="dashed", color="magenta", weight=3]; 1581 -> 2636[label="",style="dashed", color="magenta", weight=3]; 1582[label="GT",fontsize=16,color="green",shape="box"];1583[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1583 -> 1742[label="",style="solid", color="black", weight=3]; 1584[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1584 -> 1743[label="",style="solid", color="black", weight=3]; 1585[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1585 -> 1744[label="",style="solid", color="black", weight=3]; 1586[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1586 -> 1745[label="",style="solid", color="black", weight=3]; 1587[label="(ywz5000,ywz5001) <= ywz400",fontsize=16,color="burlywood",shape="box"];5168[label="ywz400/(ywz4000,ywz4001)",fontsize=10,color="white",style="solid",shape="box"];1587 -> 5168[label="",style="solid", color="burlywood", weight=9]; 5168 -> 1746[label="",style="solid", color="burlywood", weight=3]; 1588[label="LT <= ywz400",fontsize=16,color="burlywood",shape="box"];5169[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];1588 -> 5169[label="",style="solid", color="burlywood", weight=9]; 5169 -> 1747[label="",style="solid", color="burlywood", weight=3]; 5170[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];1588 -> 5170[label="",style="solid", color="burlywood", weight=9]; 5170 -> 1748[label="",style="solid", color="burlywood", weight=3]; 5171[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];1588 -> 5171[label="",style="solid", color="burlywood", weight=9]; 5171 -> 1749[label="",style="solid", color="burlywood", weight=3]; 1589[label="EQ <= ywz400",fontsize=16,color="burlywood",shape="box"];5172[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];1589 -> 5172[label="",style="solid", color="burlywood", weight=9]; 5172 -> 1750[label="",style="solid", color="burlywood", weight=3]; 5173[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];1589 -> 5173[label="",style="solid", color="burlywood", weight=9]; 5173 -> 1751[label="",style="solid", color="burlywood", weight=3]; 5174[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];1589 -> 5174[label="",style="solid", color="burlywood", weight=9]; 5174 -> 1752[label="",style="solid", color="burlywood", weight=3]; 1590[label="GT <= ywz400",fontsize=16,color="burlywood",shape="box"];5175[label="ywz400/LT",fontsize=10,color="white",style="solid",shape="box"];1590 -> 5175[label="",style="solid", color="burlywood", weight=9]; 5175 -> 1753[label="",style="solid", color="burlywood", weight=3]; 5176[label="ywz400/EQ",fontsize=10,color="white",style="solid",shape="box"];1590 -> 5176[label="",style="solid", color="burlywood", weight=9]; 5176 -> 1754[label="",style="solid", color="burlywood", weight=3]; 5177[label="ywz400/GT",fontsize=10,color="white",style="solid",shape="box"];1590 -> 5177[label="",style="solid", color="burlywood", weight=9]; 5177 -> 1755[label="",style="solid", color="burlywood", weight=3]; 1591[label="(ywz5000,ywz5001,ywz5002) <= ywz400",fontsize=16,color="burlywood",shape="box"];5178[label="ywz400/(ywz4000,ywz4001,ywz4002)",fontsize=10,color="white",style="solid",shape="box"];1591 -> 5178[label="",style="solid", color="burlywood", weight=9]; 5178 -> 1756[label="",style="solid", color="burlywood", weight=3]; 1592[label="Left ywz5000 <= ywz400",fontsize=16,color="burlywood",shape="box"];5179[label="ywz400/Left ywz4000",fontsize=10,color="white",style="solid",shape="box"];1592 -> 5179[label="",style="solid", color="burlywood", weight=9]; 5179 -> 1757[label="",style="solid", color="burlywood", weight=3]; 5180[label="ywz400/Right ywz4000",fontsize=10,color="white",style="solid",shape="box"];1592 -> 5180[label="",style="solid", color="burlywood", weight=9]; 5180 -> 1758[label="",style="solid", color="burlywood", weight=3]; 1593[label="Right ywz5000 <= ywz400",fontsize=16,color="burlywood",shape="box"];5181[label="ywz400/Left ywz4000",fontsize=10,color="white",style="solid",shape="box"];1593 -> 5181[label="",style="solid", color="burlywood", weight=9]; 5181 -> 1759[label="",style="solid", color="burlywood", weight=3]; 5182[label="ywz400/Right ywz4000",fontsize=10,color="white",style="solid",shape="box"];1593 -> 5182[label="",style="solid", color="burlywood", weight=9]; 5182 -> 1760[label="",style="solid", color="burlywood", weight=3]; 1594[label="False <= ywz400",fontsize=16,color="burlywood",shape="box"];5183[label="ywz400/False",fontsize=10,color="white",style="solid",shape="box"];1594 -> 5183[label="",style="solid", color="burlywood", weight=9]; 5183 -> 1761[label="",style="solid", color="burlywood", weight=3]; 5184[label="ywz400/True",fontsize=10,color="white",style="solid",shape="box"];1594 -> 5184[label="",style="solid", color="burlywood", weight=9]; 5184 -> 1762[label="",style="solid", color="burlywood", weight=3]; 1595[label="True <= ywz400",fontsize=16,color="burlywood",shape="box"];5185[label="ywz400/False",fontsize=10,color="white",style="solid",shape="box"];1595 -> 5185[label="",style="solid", color="burlywood", weight=9]; 5185 -> 1763[label="",style="solid", color="burlywood", weight=3]; 5186[label="ywz400/True",fontsize=10,color="white",style="solid",shape="box"];1595 -> 5186[label="",style="solid", color="burlywood", weight=9]; 5186 -> 1764[label="",style="solid", color="burlywood", weight=3]; 1596[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1596 -> 1765[label="",style="solid", color="black", weight=3]; 1597[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1597 -> 1766[label="",style="solid", color="black", weight=3]; 1598[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1598 -> 1767[label="",style="solid", color="black", weight=3]; 1599[label="Nothing <= ywz400",fontsize=16,color="burlywood",shape="box"];5187[label="ywz400/Nothing",fontsize=10,color="white",style="solid",shape="box"];1599 -> 5187[label="",style="solid", color="burlywood", weight=9]; 5187 -> 1768[label="",style="solid", color="burlywood", weight=3]; 5188[label="ywz400/Just ywz4000",fontsize=10,color="white",style="solid",shape="box"];1599 -> 5188[label="",style="solid", color="burlywood", weight=9]; 5188 -> 1769[label="",style="solid", color="burlywood", weight=3]; 1600[label="Just ywz5000 <= ywz400",fontsize=16,color="burlywood",shape="box"];5189[label="ywz400/Nothing",fontsize=10,color="white",style="solid",shape="box"];1600 -> 5189[label="",style="solid", color="burlywood", weight=9]; 5189 -> 1770[label="",style="solid", color="burlywood", weight=3]; 5190[label="ywz400/Just ywz4000",fontsize=10,color="white",style="solid",shape="box"];1600 -> 5190[label="",style="solid", color="burlywood", weight=9]; 5190 -> 1771[label="",style="solid", color="burlywood", weight=3]; 1601[label="compare ywz500 ywz400 /= GT",fontsize=16,color="black",shape="box"];1601 -> 1772[label="",style="solid", color="black", weight=3]; 1602[label="compare0 (Just ywz109) (Just ywz110) otherwise",fontsize=16,color="black",shape="box"];1602 -> 1773[label="",style="solid", color="black", weight=3]; 1603[label="LT",fontsize=16,color="green",shape="box"];1604[label="FiniteMap.addToFM_C FiniteMap.addToFM0 ywz44 (Just ywz400) ywz41",fontsize=16,color="burlywood",shape="triangle"];5191[label="ywz44/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];1604 -> 5191[label="",style="solid", color="burlywood", weight=9]; 5191 -> 1774[label="",style="solid", color="burlywood", weight=3]; 5192[label="ywz44/FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444",fontsize=10,color="white",style="solid",shape="box"];1604 -> 5192[label="",style="solid", color="burlywood", weight=9]; 5192 -> 1775[label="",style="solid", color="burlywood", weight=3]; 1605 -> 1360[label="",style="dashed", color="red", weight=0]; 1605[label="FiniteMap.addToFM (FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724) (Just ywz400) ywz41",fontsize=16,color="magenta"];1605 -> 1776[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2523[label="",style="dashed", color="red", weight=0]; 1606[label="FiniteMap.mkVBalBranch3MkVBalBranch2 ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724 (Just ywz400) ywz41 ywz720 ywz721 ywz722 ywz723 ywz724 ywz440 ywz441 ywz442 ywz443 ywz444 (FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724 < FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724)",fontsize=16,color="magenta"];1606 -> 2637[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2638[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2639[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2640[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2641[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2642[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2643[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2644[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2645[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2646[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2647[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2648[label="",style="dashed", color="magenta", weight=3]; 1606 -> 2649[label="",style="dashed", color="magenta", weight=3]; 1609 -> 1003[label="",style="dashed", color="red", weight=0]; 1609[label="primEqNat ywz50000 ywz40000",fontsize=16,color="magenta"];1609 -> 1783[label="",style="dashed", color="magenta", weight=3]; 1609 -> 1784[label="",style="dashed", color="magenta", weight=3]; 1610[label="False",fontsize=16,color="green",shape="box"];1611[label="False",fontsize=16,color="green",shape="box"];1612[label="True",fontsize=16,color="green",shape="box"];1613[label="ywz4002",fontsize=16,color="green",shape="box"];1614[label="ywz5002",fontsize=16,color="green",shape="box"];1615[label="ywz4002",fontsize=16,color="green",shape="box"];1616[label="ywz5002",fontsize=16,color="green",shape="box"];1617[label="ywz4002",fontsize=16,color="green",shape="box"];1618[label="ywz5002",fontsize=16,color="green",shape="box"];1619[label="ywz4002",fontsize=16,color="green",shape="box"];1620[label="ywz5002",fontsize=16,color="green",shape="box"];1621[label="ywz4002",fontsize=16,color="green",shape="box"];1622[label="ywz5002",fontsize=16,color="green",shape="box"];1623[label="ywz4002",fontsize=16,color="green",shape="box"];1624[label="ywz5002",fontsize=16,color="green",shape="box"];1625[label="ywz4002",fontsize=16,color="green",shape="box"];1626[label="ywz5002",fontsize=16,color="green",shape="box"];1627[label="ywz4002",fontsize=16,color="green",shape="box"];1628[label="ywz5002",fontsize=16,color="green",shape="box"];1629[label="ywz4002",fontsize=16,color="green",shape="box"];1630[label="ywz5002",fontsize=16,color="green",shape="box"];1631[label="ywz4002",fontsize=16,color="green",shape="box"];1632[label="ywz5002",fontsize=16,color="green",shape="box"];1633[label="ywz4002",fontsize=16,color="green",shape="box"];1634[label="ywz5002",fontsize=16,color="green",shape="box"];1635[label="ywz4002",fontsize=16,color="green",shape="box"];1636[label="ywz5002",fontsize=16,color="green",shape="box"];1637[label="ywz4002",fontsize=16,color="green",shape="box"];1638[label="ywz5002",fontsize=16,color="green",shape="box"];1639[label="ywz4002",fontsize=16,color="green",shape="box"];1640[label="ywz5002",fontsize=16,color="green",shape="box"];1641[label="ywz4001",fontsize=16,color="green",shape="box"];1642[label="ywz5001",fontsize=16,color="green",shape="box"];1643[label="ywz4001",fontsize=16,color="green",shape="box"];1644[label="ywz5001",fontsize=16,color="green",shape="box"];1645[label="ywz4001",fontsize=16,color="green",shape="box"];1646[label="ywz5001",fontsize=16,color="green",shape="box"];1647[label="ywz4001",fontsize=16,color="green",shape="box"];1648[label="ywz5001",fontsize=16,color="green",shape="box"];1649[label="ywz4001",fontsize=16,color="green",shape="box"];1650[label="ywz5001",fontsize=16,color="green",shape="box"];1651[label="ywz4001",fontsize=16,color="green",shape="box"];1652[label="ywz5001",fontsize=16,color="green",shape="box"];1653[label="ywz4001",fontsize=16,color="green",shape="box"];1654[label="ywz5001",fontsize=16,color="green",shape="box"];1655[label="ywz4001",fontsize=16,color="green",shape="box"];1656[label="ywz5001",fontsize=16,color="green",shape="box"];1657[label="ywz4001",fontsize=16,color="green",shape="box"];1658[label="ywz5001",fontsize=16,color="green",shape="box"];1659[label="ywz4001",fontsize=16,color="green",shape="box"];1660[label="ywz5001",fontsize=16,color="green",shape="box"];1661[label="ywz4001",fontsize=16,color="green",shape="box"];1662[label="ywz5001",fontsize=16,color="green",shape="box"];1663[label="ywz4001",fontsize=16,color="green",shape="box"];1664[label="ywz5001",fontsize=16,color="green",shape="box"];1665[label="ywz4001",fontsize=16,color="green",shape="box"];1666[label="ywz5001",fontsize=16,color="green",shape="box"];1667[label="ywz4001",fontsize=16,color="green",shape="box"];1668[label="ywz5001",fontsize=16,color="green",shape="box"];1669[label="ywz40000",fontsize=16,color="green",shape="box"];1670[label="ywz50000",fontsize=16,color="green",shape="box"];1671[label="ywz40000",fontsize=16,color="green",shape="box"];1672[label="ywz50000",fontsize=16,color="green",shape="box"];3420[label="primPlusNat (Succ ywz21200) (Succ ywz4000000)",fontsize=16,color="black",shape="box"];3420 -> 3601[label="",style="solid", color="black", weight=3]; 3421[label="primPlusNat (Succ ywz21200) Zero",fontsize=16,color="black",shape="box"];3421 -> 3602[label="",style="solid", color="black", weight=3]; 3422[label="primPlusNat Zero (Succ ywz4000000)",fontsize=16,color="black",shape="box"];3422 -> 3603[label="",style="solid", color="black", weight=3]; 3423[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];3423 -> 3604[label="",style="solid", color="black", weight=3]; 3867[label="primCmpDouble (Double ywz5000 (Pos ywz50010)) (Double ywz4000 (Pos ywz40010))",fontsize=16,color="black",shape="box"];3867 -> 3971[label="",style="solid", color="black", weight=3]; 3868[label="primCmpDouble (Double ywz5000 (Pos ywz50010)) (Double ywz4000 (Neg ywz40010))",fontsize=16,color="black",shape="box"];3868 -> 3972[label="",style="solid", color="black", weight=3]; 3869[label="primCmpDouble (Double ywz5000 (Neg ywz50010)) (Double ywz4000 (Pos ywz40010))",fontsize=16,color="black",shape="box"];3869 -> 3973[label="",style="solid", color="black", weight=3]; 3870[label="primCmpDouble (Double ywz5000 (Neg ywz50010)) (Double ywz4000 (Neg ywz40010))",fontsize=16,color="black",shape="box"];3870 -> 3974[label="",style="solid", color="black", weight=3]; 3859[label="ywz4000 * ywz5001",fontsize=16,color="burlywood",shape="triangle"];5193[label="ywz4000/Integer ywz40000",fontsize=10,color="white",style="solid",shape="box"];3859 -> 5193[label="",style="solid", color="burlywood", weight=9]; 5193 -> 3960[label="",style="solid", color="burlywood", weight=3]; 3860 -> 3859[label="",style="dashed", color="red", weight=0]; 3860[label="ywz5000 * ywz4001",fontsize=16,color="magenta"];3860 -> 3961[label="",style="dashed", color="magenta", weight=3]; 3860 -> 3962[label="",style="dashed", color="magenta", weight=3]; 3861 -> 1120[label="",style="dashed", color="red", weight=0]; 3861[label="ywz4000 * ywz5001",fontsize=16,color="magenta"];3861 -> 3963[label="",style="dashed", color="magenta", weight=3]; 3861 -> 3964[label="",style="dashed", color="magenta", weight=3]; 3862 -> 1120[label="",style="dashed", color="red", weight=0]; 3862[label="ywz5000 * ywz4001",fontsize=16,color="magenta"];3862 -> 3965[label="",style="dashed", color="magenta", weight=3]; 3862 -> 3966[label="",style="dashed", color="magenta", weight=3]; 4473 -> 1351[label="",style="dashed", color="red", weight=0]; 4473[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];4473 -> 4589[label="",style="dashed", color="magenta", weight=3]; 4473 -> 4590[label="",style="dashed", color="magenta", weight=3]; 4472[label="compare1 ywz5000 ywz4000 ywz381",fontsize=16,color="burlywood",shape="triangle"];5194[label="ywz381/False",fontsize=10,color="white",style="solid",shape="box"];4472 -> 5194[label="",style="solid", color="burlywood", weight=9]; 5194 -> 4591[label="",style="solid", color="burlywood", weight=3]; 5195[label="ywz381/True",fontsize=10,color="white",style="solid",shape="box"];4472 -> 5195[label="",style="solid", color="burlywood", weight=9]; 5195 -> 4592[label="",style="solid", color="burlywood", weight=3]; 4496 -> 1352[label="",style="dashed", color="red", weight=0]; 4496[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];4496 -> 4593[label="",style="dashed", color="magenta", weight=3]; 4496 -> 4594[label="",style="dashed", color="magenta", weight=3]; 4495[label="compare1 ywz5000 ywz4000 ywz382",fontsize=16,color="burlywood",shape="triangle"];5196[label="ywz382/False",fontsize=10,color="white",style="solid",shape="box"];4495 -> 5196[label="",style="solid", color="burlywood", weight=9]; 5196 -> 4595[label="",style="solid", color="burlywood", weight=3]; 5197[label="ywz382/True",fontsize=10,color="white",style="solid",shape="box"];4495 -> 5197[label="",style="solid", color="burlywood", weight=9]; 5197 -> 4596[label="",style="solid", color="burlywood", weight=3]; 4547 -> 1349[label="",style="dashed", color="red", weight=0]; 4547[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];4547 -> 4597[label="",style="dashed", color="magenta", weight=3]; 4547 -> 4598[label="",style="dashed", color="magenta", weight=3]; 4546[label="compare1 ywz5000 ywz4000 ywz383",fontsize=16,color="burlywood",shape="triangle"];5198[label="ywz383/False",fontsize=10,color="white",style="solid",shape="box"];4546 -> 5198[label="",style="solid", color="burlywood", weight=9]; 5198 -> 4599[label="",style="solid", color="burlywood", weight=3]; 5199[label="ywz383/True",fontsize=10,color="white",style="solid",shape="box"];4546 -> 5199[label="",style="solid", color="burlywood", weight=9]; 5199 -> 4600[label="",style="solid", color="burlywood", weight=3]; 3871[label="ywz4000",fontsize=16,color="green",shape="box"];3872[label="ywz5000",fontsize=16,color="green",shape="box"];3934[label="ywz4001",fontsize=16,color="green",shape="box"];3935[label="ywz5001",fontsize=16,color="green",shape="box"];3936 -> 3985[label="",style="dashed", color="red", weight=0]; 3936[label="primCompAux0 ywz253 (compare ywz5000 ywz4000)",fontsize=16,color="magenta"];3936 -> 3986[label="",style="dashed", color="magenta", weight=3]; 3936 -> 3987[label="",style="dashed", color="magenta", weight=3]; 4576 -> 1348[label="",style="dashed", color="red", weight=0]; 4576[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];4576 -> 4601[label="",style="dashed", color="magenta", weight=3]; 4576 -> 4602[label="",style="dashed", color="magenta", weight=3]; 4575[label="compare1 ywz5000 ywz4000 ywz384",fontsize=16,color="burlywood",shape="triangle"];5200[label="ywz384/False",fontsize=10,color="white",style="solid",shape="box"];4575 -> 5200[label="",style="solid", color="burlywood", weight=9]; 5200 -> 4603[label="",style="solid", color="burlywood", weight=3]; 5201[label="ywz384/True",fontsize=10,color="white",style="solid",shape="box"];4575 -> 5201[label="",style="solid", color="burlywood", weight=9]; 5201 -> 4604[label="",style="solid", color="burlywood", weight=3]; 3863[label="primCmpFloat (Float ywz5000 (Pos ywz50010)) (Float ywz4000 (Pos ywz40010))",fontsize=16,color="black",shape="box"];3863 -> 3967[label="",style="solid", color="black", weight=3]; 3864[label="primCmpFloat (Float ywz5000 (Pos ywz50010)) (Float ywz4000 (Neg ywz40010))",fontsize=16,color="black",shape="box"];3864 -> 3968[label="",style="solid", color="black", weight=3]; 3865[label="primCmpFloat (Float ywz5000 (Neg ywz50010)) (Float ywz4000 (Pos ywz40010))",fontsize=16,color="black",shape="box"];3865 -> 3969[label="",style="solid", color="black", weight=3]; 3866[label="primCmpFloat (Float ywz5000 (Neg ywz50010)) (Float ywz4000 (Neg ywz40010))",fontsize=16,color="black",shape="box"];3866 -> 3970[label="",style="solid", color="black", weight=3]; 4580 -> 1350[label="",style="dashed", color="red", weight=0]; 4580[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];4580 -> 4605[label="",style="dashed", color="magenta", weight=3]; 4580 -> 4606[label="",style="dashed", color="magenta", weight=3]; 4579[label="compare1 ywz5000 ywz4000 ywz385",fontsize=16,color="burlywood",shape="triangle"];5202[label="ywz385/False",fontsize=10,color="white",style="solid",shape="box"];4579 -> 5202[label="",style="solid", color="burlywood", weight=9]; 5202 -> 4607[label="",style="solid", color="burlywood", weight=3]; 5203[label="ywz385/True",fontsize=10,color="white",style="solid",shape="box"];4579 -> 5203[label="",style="solid", color="burlywood", weight=9]; 5203 -> 4608[label="",style="solid", color="burlywood", weight=3]; 4610[label="FiniteMap.mkBranchLeft_size ywz350 ywz351 ywz348",fontsize=16,color="black",shape="box"];4610 -> 4626[label="",style="solid", color="black", weight=3]; 4611[label="Succ Zero",fontsize=16,color="green",shape="box"];4612 -> 3313[label="",style="dashed", color="red", weight=0]; 4612[label="primPlusInt (Pos ywz3860) (FiniteMap.sizeFM ywz351)",fontsize=16,color="magenta"];4612 -> 4627[label="",style="dashed", color="magenta", weight=3]; 4612 -> 4628[label="",style="dashed", color="magenta", weight=3]; 4613 -> 3335[label="",style="dashed", color="red", weight=0]; 4613[label="primPlusInt (Neg ywz3860) (FiniteMap.sizeFM ywz351)",fontsize=16,color="magenta"];4613 -> 4629[label="",style="dashed", color="magenta", weight=3]; 4613 -> 4630[label="",style="dashed", color="magenta", weight=3]; 3428[label="ywz17920",fontsize=16,color="green",shape="box"];3429[label="ywz2390",fontsize=16,color="green",shape="box"];3430[label="primMinusNat (Succ ywz179200) (Succ ywz23900)",fontsize=16,color="black",shape="box"];3430 -> 3610[label="",style="solid", color="black", weight=3]; 3431[label="primMinusNat (Succ ywz179200) Zero",fontsize=16,color="black",shape="box"];3431 -> 3611[label="",style="solid", color="black", weight=3]; 3432[label="primMinusNat Zero (Succ ywz23900)",fontsize=16,color="black",shape="box"];3432 -> 3612[label="",style="solid", color="black", weight=3]; 3433[label="primMinusNat Zero Zero",fontsize=16,color="black",shape="box"];3433 -> 3613[label="",style="solid", color="black", weight=3]; 3434 -> 3346[label="",style="dashed", color="red", weight=0]; 3434[label="primMinusNat ywz2400 ywz17920",fontsize=16,color="magenta"];3434 -> 3614[label="",style="dashed", color="magenta", weight=3]; 3434 -> 3615[label="",style="dashed", color="magenta", weight=3]; 3435[label="Neg (primPlusNat ywz17920 ywz2400)",fontsize=16,color="green",shape="box"];3435 -> 3616[label="",style="dashed", color="green", weight=3]; 3436 -> 4241[label="",style="dashed", color="red", weight=0]; 3436[label="FiniteMap.mkBranch (Pos (Succ (Succ Zero))) ywz440 ywz441 ywz179 ywz444",fontsize=16,color="magenta"];3436 -> 4257[label="",style="dashed", color="magenta", weight=3]; 3436 -> 4258[label="",style="dashed", color="magenta", weight=3]; 3436 -> 4259[label="",style="dashed", color="magenta", weight=3]; 3436 -> 4260[label="",style="dashed", color="magenta", weight=3]; 3436 -> 4261[label="",style="dashed", color="magenta", weight=3]; 3437[label="error []",fontsize=16,color="red",shape="box"];3438[label="FiniteMap.mkBalBranch6MkBalBranch12 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794)",fontsize=16,color="black",shape="box"];3438 -> 3618[label="",style="solid", color="black", weight=3]; 3439 -> 1120[label="",style="dashed", color="red", weight=0]; 3439[label="Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz4444",fontsize=16,color="magenta"];3439 -> 3619[label="",style="dashed", color="magenta", weight=3]; 3439 -> 3620[label="",style="dashed", color="magenta", weight=3]; 3440 -> 3109[label="",style="dashed", color="red", weight=0]; 3440[label="FiniteMap.sizeFM ywz4443",fontsize=16,color="magenta"];3440 -> 3621[label="",style="dashed", color="magenta", weight=3]; 3441[label="FiniteMap.mkBalBranch6MkBalBranch01 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 False",fontsize=16,color="black",shape="box"];3441 -> 3622[label="",style="solid", color="black", weight=3]; 3442[label="FiniteMap.mkBalBranch6MkBalBranch01 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 True",fontsize=16,color="black",shape="box"];3442 -> 3623[label="",style="solid", color="black", weight=3]; 1737[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM Nothing ywz41",fontsize=16,color="black",shape="box"];1737 -> 1823[label="",style="solid", color="black", weight=3]; 1738[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) Nothing ywz41",fontsize=16,color="black",shape="box"];1738 -> 1824[label="",style="solid", color="black", weight=3]; 1739[label="FiniteMap.Branch ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=16,color="green",shape="box"];2624[label="ywz711",fontsize=16,color="green",shape="box"];2625[label="ywz442",fontsize=16,color="green",shape="box"];2626[label="ywz443",fontsize=16,color="green",shape="box"];2627 -> 2792[label="",style="dashed", color="red", weight=0]; 2627[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714 < FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=16,color="magenta"];2627 -> 2801[label="",style="dashed", color="magenta", weight=3]; 2627 -> 2802[label="",style="dashed", color="magenta", weight=3]; 2628[label="Nothing",fontsize=16,color="green",shape="box"];2629[label="ywz444",fontsize=16,color="green",shape="box"];2630[label="ywz41",fontsize=16,color="green",shape="box"];2631[label="ywz440",fontsize=16,color="green",shape="box"];2632[label="ywz713",fontsize=16,color="green",shape="box"];2633[label="ywz441",fontsize=16,color="green",shape="box"];2634[label="ywz710",fontsize=16,color="green",shape="box"];2635[label="ywz714",fontsize=16,color="green",shape="box"];2636[label="ywz712",fontsize=16,color="green",shape="box"];1742 -> 1899[label="",style="dashed", color="red", weight=0]; 1742[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1742 -> 1900[label="",style="dashed", color="magenta", weight=3]; 1743 -> 1899[label="",style="dashed", color="red", weight=0]; 1743[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1743 -> 1901[label="",style="dashed", color="magenta", weight=3]; 1744 -> 1899[label="",style="dashed", color="red", weight=0]; 1744[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1744 -> 1902[label="",style="dashed", color="magenta", weight=3]; 1745 -> 1899[label="",style="dashed", color="red", weight=0]; 1745[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1745 -> 1903[label="",style="dashed", color="magenta", weight=3]; 1746[label="(ywz5000,ywz5001) <= (ywz4000,ywz4001)",fontsize=16,color="black",shape="box"];1746 -> 1908[label="",style="solid", color="black", weight=3]; 1747[label="LT <= LT",fontsize=16,color="black",shape="box"];1747 -> 1909[label="",style="solid", color="black", weight=3]; 1748[label="LT <= EQ",fontsize=16,color="black",shape="box"];1748 -> 1910[label="",style="solid", color="black", weight=3]; 1749[label="LT <= GT",fontsize=16,color="black",shape="box"];1749 -> 1911[label="",style="solid", color="black", weight=3]; 1750[label="EQ <= LT",fontsize=16,color="black",shape="box"];1750 -> 1912[label="",style="solid", color="black", weight=3]; 1751[label="EQ <= EQ",fontsize=16,color="black",shape="box"];1751 -> 1913[label="",style="solid", color="black", weight=3]; 1752[label="EQ <= GT",fontsize=16,color="black",shape="box"];1752 -> 1914[label="",style="solid", color="black", weight=3]; 1753[label="GT <= LT",fontsize=16,color="black",shape="box"];1753 -> 1915[label="",style="solid", color="black", weight=3]; 1754[label="GT <= EQ",fontsize=16,color="black",shape="box"];1754 -> 1916[label="",style="solid", color="black", weight=3]; 1755[label="GT <= GT",fontsize=16,color="black",shape="box"];1755 -> 1917[label="",style="solid", color="black", weight=3]; 1756[label="(ywz5000,ywz5001,ywz5002) <= (ywz4000,ywz4001,ywz4002)",fontsize=16,color="black",shape="box"];1756 -> 1918[label="",style="solid", color="black", weight=3]; 1757[label="Left ywz5000 <= Left ywz4000",fontsize=16,color="black",shape="box"];1757 -> 1919[label="",style="solid", color="black", weight=3]; 1758[label="Left ywz5000 <= Right ywz4000",fontsize=16,color="black",shape="box"];1758 -> 1920[label="",style="solid", color="black", weight=3]; 1759[label="Right ywz5000 <= Left ywz4000",fontsize=16,color="black",shape="box"];1759 -> 1921[label="",style="solid", color="black", weight=3]; 1760[label="Right ywz5000 <= Right ywz4000",fontsize=16,color="black",shape="box"];1760 -> 1922[label="",style="solid", color="black", weight=3]; 1761[label="False <= False",fontsize=16,color="black",shape="box"];1761 -> 1923[label="",style="solid", color="black", weight=3]; 1762[label="False <= True",fontsize=16,color="black",shape="box"];1762 -> 1924[label="",style="solid", color="black", weight=3]; 1763[label="True <= False",fontsize=16,color="black",shape="box"];1763 -> 1925[label="",style="solid", color="black", weight=3]; 1764[label="True <= True",fontsize=16,color="black",shape="box"];1764 -> 1926[label="",style="solid", color="black", weight=3]; 1765 -> 1899[label="",style="dashed", color="red", weight=0]; 1765[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1765 -> 1904[label="",style="dashed", color="magenta", weight=3]; 1766 -> 1899[label="",style="dashed", color="red", weight=0]; 1766[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1766 -> 1905[label="",style="dashed", color="magenta", weight=3]; 1767 -> 1899[label="",style="dashed", color="red", weight=0]; 1767[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1767 -> 1906[label="",style="dashed", color="magenta", weight=3]; 1768[label="Nothing <= Nothing",fontsize=16,color="black",shape="box"];1768 -> 1927[label="",style="solid", color="black", weight=3]; 1769[label="Nothing <= Just ywz4000",fontsize=16,color="black",shape="box"];1769 -> 1928[label="",style="solid", color="black", weight=3]; 1770[label="Just ywz5000 <= Nothing",fontsize=16,color="black",shape="box"];1770 -> 1929[label="",style="solid", color="black", weight=3]; 1771[label="Just ywz5000 <= Just ywz4000",fontsize=16,color="black",shape="box"];1771 -> 1930[label="",style="solid", color="black", weight=3]; 1772 -> 1899[label="",style="dashed", color="red", weight=0]; 1772[label="not (compare ywz500 ywz400 == GT)",fontsize=16,color="magenta"];1772 -> 1907[label="",style="dashed", color="magenta", weight=3]; 1773[label="compare0 (Just ywz109) (Just ywz110) True",fontsize=16,color="black",shape="box"];1773 -> 1931[label="",style="solid", color="black", weight=3]; 1774[label="FiniteMap.addToFM_C FiniteMap.addToFM0 FiniteMap.EmptyFM (Just ywz400) ywz41",fontsize=16,color="black",shape="box"];1774 -> 1826[label="",style="solid", color="black", weight=3]; 1775[label="FiniteMap.addToFM_C FiniteMap.addToFM0 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) (Just ywz400) ywz41",fontsize=16,color="black",shape="box"];1775 -> 1827[label="",style="solid", color="black", weight=3]; 1776[label="FiniteMap.Branch ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=16,color="green",shape="box"];2637[label="ywz721",fontsize=16,color="green",shape="box"];2638[label="ywz442",fontsize=16,color="green",shape="box"];2639[label="ywz443",fontsize=16,color="green",shape="box"];2640 -> 2792[label="",style="dashed", color="red", weight=0]; 2640[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724 < FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=16,color="magenta"];2640 -> 2803[label="",style="dashed", color="magenta", weight=3]; 2640 -> 2804[label="",style="dashed", color="magenta", weight=3]; 2641[label="Just ywz400",fontsize=16,color="green",shape="box"];2642[label="ywz444",fontsize=16,color="green",shape="box"];2643[label="ywz41",fontsize=16,color="green",shape="box"];2644[label="ywz440",fontsize=16,color="green",shape="box"];2645[label="ywz723",fontsize=16,color="green",shape="box"];2646[label="ywz441",fontsize=16,color="green",shape="box"];2647[label="ywz720",fontsize=16,color="green",shape="box"];2648[label="ywz724",fontsize=16,color="green",shape="box"];2649[label="ywz722",fontsize=16,color="green",shape="box"];1783[label="ywz40000",fontsize=16,color="green",shape="box"];1784[label="ywz50000",fontsize=16,color="green",shape="box"];3601[label="Succ (Succ (primPlusNat ywz21200 ywz4000000))",fontsize=16,color="green",shape="box"];3601 -> 3724[label="",style="dashed", color="green", weight=3]; 3602[label="Succ ywz21200",fontsize=16,color="green",shape="box"];3603[label="Succ ywz4000000",fontsize=16,color="green",shape="box"];3604[label="Zero",fontsize=16,color="green",shape="box"];3971 -> 2084[label="",style="dashed", color="red", weight=0]; 3971[label="compare (ywz5000 * Pos ywz40010) (Pos ywz50010 * ywz4000)",fontsize=16,color="magenta"];3971 -> 4165[label="",style="dashed", color="magenta", weight=3]; 3971 -> 4166[label="",style="dashed", color="magenta", weight=3]; 3972 -> 2084[label="",style="dashed", color="red", weight=0]; 3972[label="compare (ywz5000 * Pos ywz40010) (Neg ywz50010 * ywz4000)",fontsize=16,color="magenta"];3972 -> 4167[label="",style="dashed", color="magenta", weight=3]; 3972 -> 4168[label="",style="dashed", color="magenta", weight=3]; 3973 -> 2084[label="",style="dashed", color="red", weight=0]; 3973[label="compare (ywz5000 * Neg ywz40010) (Pos ywz50010 * ywz4000)",fontsize=16,color="magenta"];3973 -> 4169[label="",style="dashed", color="magenta", weight=3]; 3973 -> 4170[label="",style="dashed", color="magenta", weight=3]; 3974 -> 2084[label="",style="dashed", color="red", weight=0]; 3974[label="compare (ywz5000 * Neg ywz40010) (Neg ywz50010 * ywz4000)",fontsize=16,color="magenta"];3974 -> 4171[label="",style="dashed", color="magenta", weight=3]; 3974 -> 4172[label="",style="dashed", color="magenta", weight=3]; 3960[label="Integer ywz40000 * ywz5001",fontsize=16,color="burlywood",shape="box"];5204[label="ywz5001/Integer ywz50010",fontsize=10,color="white",style="solid",shape="box"];3960 -> 5204[label="",style="solid", color="burlywood", weight=9]; 5204 -> 4156[label="",style="solid", color="burlywood", weight=3]; 3961[label="ywz5000",fontsize=16,color="green",shape="box"];3962[label="ywz4001",fontsize=16,color="green",shape="box"];3963[label="ywz5001",fontsize=16,color="green",shape="box"];3964[label="ywz4000",fontsize=16,color="green",shape="box"];3965[label="ywz4001",fontsize=16,color="green",shape="box"];3966[label="ywz5000",fontsize=16,color="green",shape="box"];4589[label="ywz4000",fontsize=16,color="green",shape="box"];4590[label="ywz5000",fontsize=16,color="green",shape="box"];4591[label="compare1 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4591 -> 4614[label="",style="solid", color="black", weight=3]; 4592[label="compare1 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4592 -> 4615[label="",style="solid", color="black", weight=3]; 4593[label="ywz4000",fontsize=16,color="green",shape="box"];4594[label="ywz5000",fontsize=16,color="green",shape="box"];4595[label="compare1 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4595 -> 4616[label="",style="solid", color="black", weight=3]; 4596[label="compare1 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4596 -> 4617[label="",style="solid", color="black", weight=3]; 4597[label="ywz4000",fontsize=16,color="green",shape="box"];4598[label="ywz5000",fontsize=16,color="green",shape="box"];4599[label="compare1 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4599 -> 4618[label="",style="solid", color="black", weight=3]; 4600[label="compare1 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4600 -> 4619[label="",style="solid", color="black", weight=3]; 3986[label="ywz253",fontsize=16,color="green",shape="box"];3987[label="compare ywz5000 ywz4000",fontsize=16,color="blue",shape="box"];5205[label="compare :: (Ratio a) -> (Ratio a) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5205[label="",style="solid", color="blue", weight=9]; 5205 -> 4193[label="",style="solid", color="blue", weight=3]; 5206[label="compare :: Float -> Float -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5206[label="",style="solid", color="blue", weight=9]; 5206 -> 4194[label="",style="solid", color="blue", weight=3]; 5207[label="compare :: Double -> Double -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5207[label="",style="solid", color="blue", weight=9]; 5207 -> 4195[label="",style="solid", color="blue", weight=3]; 5208[label="compare :: Char -> Char -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5208[label="",style="solid", color="blue", weight=9]; 5208 -> 4196[label="",style="solid", color="blue", weight=3]; 5209[label="compare :: ((@2) a b) -> ((@2) a b) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5209[label="",style="solid", color="blue", weight=9]; 5209 -> 4197[label="",style="solid", color="blue", weight=3]; 5210[label="compare :: Ordering -> Ordering -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5210[label="",style="solid", color="blue", weight=9]; 5210 -> 4198[label="",style="solid", color="blue", weight=3]; 5211[label="compare :: ((@3) a b c) -> ((@3) a b c) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5211[label="",style="solid", color="blue", weight=9]; 5211 -> 4199[label="",style="solid", color="blue", weight=3]; 5212[label="compare :: (Either a b) -> (Either a b) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5212[label="",style="solid", color="blue", weight=9]; 5212 -> 4200[label="",style="solid", color="blue", weight=3]; 5213[label="compare :: Bool -> Bool -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5213[label="",style="solid", color="blue", weight=9]; 5213 -> 4201[label="",style="solid", color="blue", weight=3]; 5214[label="compare :: ([] a) -> ([] a) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5214[label="",style="solid", color="blue", weight=9]; 5214 -> 4202[label="",style="solid", color="blue", weight=3]; 5215[label="compare :: () -> () -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5215[label="",style="solid", color="blue", weight=9]; 5215 -> 4203[label="",style="solid", color="blue", weight=3]; 5216[label="compare :: Integer -> Integer -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5216[label="",style="solid", color="blue", weight=9]; 5216 -> 4204[label="",style="solid", color="blue", weight=3]; 5217[label="compare :: (Maybe a) -> (Maybe a) -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5217[label="",style="solid", color="blue", weight=9]; 5217 -> 4205[label="",style="solid", color="blue", weight=3]; 5218[label="compare :: Int -> Int -> Ordering",fontsize=10,color="white",style="solid",shape="box"];3987 -> 5218[label="",style="solid", color="blue", weight=9]; 5218 -> 4206[label="",style="solid", color="blue", weight=3]; 3985[label="primCompAux0 ywz301 ywz302",fontsize=16,color="burlywood",shape="triangle"];5219[label="ywz302/LT",fontsize=10,color="white",style="solid",shape="box"];3985 -> 5219[label="",style="solid", color="burlywood", weight=9]; 5219 -> 4207[label="",style="solid", color="burlywood", weight=3]; 5220[label="ywz302/EQ",fontsize=10,color="white",style="solid",shape="box"];3985 -> 5220[label="",style="solid", color="burlywood", weight=9]; 5220 -> 4208[label="",style="solid", color="burlywood", weight=3]; 5221[label="ywz302/GT",fontsize=10,color="white",style="solid",shape="box"];3985 -> 5221[label="",style="solid", color="burlywood", weight=9]; 5221 -> 4209[label="",style="solid", color="burlywood", weight=3]; 4601[label="ywz4000",fontsize=16,color="green",shape="box"];4602[label="ywz5000",fontsize=16,color="green",shape="box"];4603[label="compare1 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4603 -> 4620[label="",style="solid", color="black", weight=3]; 4604[label="compare1 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4604 -> 4621[label="",style="solid", color="black", weight=3]; 3967 -> 2084[label="",style="dashed", color="red", weight=0]; 3967[label="compare (ywz5000 * Pos ywz40010) (Pos ywz50010 * ywz4000)",fontsize=16,color="magenta"];3967 -> 4157[label="",style="dashed", color="magenta", weight=3]; 3967 -> 4158[label="",style="dashed", color="magenta", weight=3]; 3968 -> 2084[label="",style="dashed", color="red", weight=0]; 3968[label="compare (ywz5000 * Pos ywz40010) (Neg ywz50010 * ywz4000)",fontsize=16,color="magenta"];3968 -> 4159[label="",style="dashed", color="magenta", weight=3]; 3968 -> 4160[label="",style="dashed", color="magenta", weight=3]; 3969 -> 2084[label="",style="dashed", color="red", weight=0]; 3969[label="compare (ywz5000 * Neg ywz40010) (Pos ywz50010 * ywz4000)",fontsize=16,color="magenta"];3969 -> 4161[label="",style="dashed", color="magenta", weight=3]; 3969 -> 4162[label="",style="dashed", color="magenta", weight=3]; 3970 -> 2084[label="",style="dashed", color="red", weight=0]; 3970[label="compare (ywz5000 * Neg ywz40010) (Neg ywz50010 * ywz4000)",fontsize=16,color="magenta"];3970 -> 4163[label="",style="dashed", color="magenta", weight=3]; 3970 -> 4164[label="",style="dashed", color="magenta", weight=3]; 4605[label="ywz4000",fontsize=16,color="green",shape="box"];4606[label="ywz5000",fontsize=16,color="green",shape="box"];4607[label="compare1 ywz5000 ywz4000 False",fontsize=16,color="black",shape="box"];4607 -> 4622[label="",style="solid", color="black", weight=3]; 4608[label="compare1 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4608 -> 4623[label="",style="solid", color="black", weight=3]; 4626[label="FiniteMap.sizeFM ywz350",fontsize=16,color="burlywood",shape="triangle"];5222[label="ywz350/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];4626 -> 5222[label="",style="solid", color="burlywood", weight=9]; 5222 -> 4636[label="",style="solid", color="burlywood", weight=3]; 5223[label="ywz350/FiniteMap.Branch ywz3500 ywz3501 ywz3502 ywz3503 ywz3504",fontsize=10,color="white",style="solid",shape="box"];4626 -> 5223[label="",style="solid", color="burlywood", weight=9]; 5223 -> 4637[label="",style="solid", color="burlywood", weight=3]; 4627 -> 4626[label="",style="dashed", color="red", weight=0]; 4627[label="FiniteMap.sizeFM ywz351",fontsize=16,color="magenta"];4627 -> 4638[label="",style="dashed", color="magenta", weight=3]; 4628[label="ywz3860",fontsize=16,color="green",shape="box"];4629[label="ywz3860",fontsize=16,color="green",shape="box"];4630 -> 4626[label="",style="dashed", color="red", weight=0]; 4630[label="FiniteMap.sizeFM ywz351",fontsize=16,color="magenta"];4630 -> 4639[label="",style="dashed", color="magenta", weight=3]; 3610 -> 3346[label="",style="dashed", color="red", weight=0]; 3610[label="primMinusNat ywz179200 ywz23900",fontsize=16,color="magenta"];3610 -> 3736[label="",style="dashed", color="magenta", weight=3]; 3610 -> 3737[label="",style="dashed", color="magenta", weight=3]; 3611[label="Pos (Succ ywz179200)",fontsize=16,color="green",shape="box"];3612[label="Neg (Succ ywz23900)",fontsize=16,color="green",shape="box"];3613[label="Pos Zero",fontsize=16,color="green",shape="box"];3614[label="ywz2400",fontsize=16,color="green",shape="box"];3615[label="ywz17920",fontsize=16,color="green",shape="box"];3616 -> 3292[label="",style="dashed", color="red", weight=0]; 3616[label="primPlusNat ywz17920 ywz2400",fontsize=16,color="magenta"];3616 -> 3738[label="",style="dashed", color="magenta", weight=3]; 3616 -> 3739[label="",style="dashed", color="magenta", weight=3]; 4257[label="ywz179",fontsize=16,color="green",shape="box"];4258[label="ywz444",fontsize=16,color="green",shape="box"];4259[label="ywz441",fontsize=16,color="green",shape="box"];4260[label="Succ Zero",fontsize=16,color="green",shape="box"];4261[label="ywz440",fontsize=16,color="green",shape="box"];3618 -> 3740[label="",style="dashed", color="red", weight=0]; 3618[label="FiniteMap.mkBalBranch6MkBalBranch11 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 ywz1790 ywz1791 ywz1792 ywz1793 ywz1794 (FiniteMap.sizeFM ywz1794 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz1793)",fontsize=16,color="magenta"];3618 -> 3741[label="",style="dashed", color="magenta", weight=3]; 3619 -> 3109[label="",style="dashed", color="red", weight=0]; 3619[label="FiniteMap.sizeFM ywz4444",fontsize=16,color="magenta"];3619 -> 3742[label="",style="dashed", color="magenta", weight=3]; 3620[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];3621[label="ywz4443",fontsize=16,color="green",shape="box"];3622[label="FiniteMap.mkBalBranch6MkBalBranch00 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 otherwise",fontsize=16,color="black",shape="box"];3622 -> 3743[label="",style="solid", color="black", weight=3]; 3623[label="FiniteMap.mkBalBranch6Single_L ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444)",fontsize=16,color="black",shape="box"];3623 -> 3744[label="",style="solid", color="black", weight=3]; 1823[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM Nothing ywz41",fontsize=16,color="black",shape="box"];1823 -> 1950[label="",style="solid", color="black", weight=3]; 1824[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) Nothing ywz41",fontsize=16,color="black",shape="box"];1824 -> 1951[label="",style="solid", color="black", weight=3]; 2801 -> 2793[label="",style="dashed", color="red", weight=0]; 2801[label="FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=16,color="magenta"];2801 -> 2825[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2826[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2827[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2828[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2829[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2830[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2831[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2832[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2833[label="",style="dashed", color="magenta", weight=3]; 2801 -> 2834[label="",style="dashed", color="magenta", weight=3]; 2802 -> 1120[label="",style="dashed", color="red", weight=0]; 2802[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=16,color="magenta"];2802 -> 2835[label="",style="dashed", color="magenta", weight=3]; 2802 -> 2836[label="",style="dashed", color="magenta", weight=3]; 1900 -> 120[label="",style="dashed", color="red", weight=0]; 1900[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1900 -> 2018[label="",style="dashed", color="magenta", weight=3]; 1900 -> 2019[label="",style="dashed", color="magenta", weight=3]; 1899[label="not ywz166",fontsize=16,color="burlywood",shape="triangle"];5224[label="ywz166/False",fontsize=10,color="white",style="solid",shape="box"];1899 -> 5224[label="",style="solid", color="burlywood", weight=9]; 5224 -> 2020[label="",style="solid", color="burlywood", weight=3]; 5225[label="ywz166/True",fontsize=10,color="white",style="solid",shape="box"];1899 -> 5225[label="",style="solid", color="burlywood", weight=9]; 5225 -> 2021[label="",style="solid", color="burlywood", weight=3]; 1901 -> 120[label="",style="dashed", color="red", weight=0]; 1901[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1901 -> 2022[label="",style="dashed", color="magenta", weight=3]; 1901 -> 2023[label="",style="dashed", color="magenta", weight=3]; 1902 -> 120[label="",style="dashed", color="red", weight=0]; 1902[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1902 -> 2024[label="",style="dashed", color="magenta", weight=3]; 1902 -> 2025[label="",style="dashed", color="magenta", weight=3]; 1903 -> 120[label="",style="dashed", color="red", weight=0]; 1903[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1903 -> 2026[label="",style="dashed", color="magenta", weight=3]; 1903 -> 2027[label="",style="dashed", color="magenta", weight=3]; 1908 -> 2335[label="",style="dashed", color="red", weight=0]; 1908[label="ywz5000 < ywz4000 || ywz5000 == ywz4000 && ywz5001 <= ywz4001",fontsize=16,color="magenta"];1908 -> 2336[label="",style="dashed", color="magenta", weight=3]; 1908 -> 2337[label="",style="dashed", color="magenta", weight=3]; 1909[label="True",fontsize=16,color="green",shape="box"];1910[label="True",fontsize=16,color="green",shape="box"];1911[label="True",fontsize=16,color="green",shape="box"];1912[label="False",fontsize=16,color="green",shape="box"];1913[label="True",fontsize=16,color="green",shape="box"];1914[label="True",fontsize=16,color="green",shape="box"];1915[label="False",fontsize=16,color="green",shape="box"];1916[label="False",fontsize=16,color="green",shape="box"];1917[label="True",fontsize=16,color="green",shape="box"];1918 -> 2335[label="",style="dashed", color="red", weight=0]; 1918[label="ywz5000 < ywz4000 || ywz5000 == ywz4000 && (ywz5001 < ywz4001 || ywz5001 == ywz4001 && ywz5002 <= ywz4002)",fontsize=16,color="magenta"];1918 -> 2338[label="",style="dashed", color="magenta", weight=3]; 1918 -> 2339[label="",style="dashed", color="magenta", weight=3]; 1919[label="ywz5000 <= ywz4000",fontsize=16,color="blue",shape="box"];5226[label="<= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5226[label="",style="solid", color="blue", weight=9]; 5226 -> 2035[label="",style="solid", color="blue", weight=3]; 5227[label="<= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5227[label="",style="solid", color="blue", weight=9]; 5227 -> 2036[label="",style="solid", color="blue", weight=3]; 5228[label="<= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5228[label="",style="solid", color="blue", weight=9]; 5228 -> 2037[label="",style="solid", color="blue", weight=3]; 5229[label="<= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5229[label="",style="solid", color="blue", weight=9]; 5229 -> 2038[label="",style="solid", color="blue", weight=3]; 5230[label="<= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5230[label="",style="solid", color="blue", weight=9]; 5230 -> 2039[label="",style="solid", color="blue", weight=3]; 5231[label="<= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5231[label="",style="solid", color="blue", weight=9]; 5231 -> 2040[label="",style="solid", color="blue", weight=3]; 5232[label="<= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5232[label="",style="solid", color="blue", weight=9]; 5232 -> 2041[label="",style="solid", color="blue", weight=3]; 5233[label="<= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5233[label="",style="solid", color="blue", weight=9]; 5233 -> 2042[label="",style="solid", color="blue", weight=3]; 5234[label="<= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5234[label="",style="solid", color="blue", weight=9]; 5234 -> 2043[label="",style="solid", color="blue", weight=3]; 5235[label="<= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5235[label="",style="solid", color="blue", weight=9]; 5235 -> 2044[label="",style="solid", color="blue", weight=3]; 5236[label="<= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5236[label="",style="solid", color="blue", weight=9]; 5236 -> 2045[label="",style="solid", color="blue", weight=3]; 5237[label="<= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5237[label="",style="solid", color="blue", weight=9]; 5237 -> 2046[label="",style="solid", color="blue", weight=3]; 5238[label="<= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5238[label="",style="solid", color="blue", weight=9]; 5238 -> 2047[label="",style="solid", color="blue", weight=3]; 5239[label="<= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1919 -> 5239[label="",style="solid", color="blue", weight=9]; 5239 -> 2048[label="",style="solid", color="blue", weight=3]; 1920[label="True",fontsize=16,color="green",shape="box"];1921[label="False",fontsize=16,color="green",shape="box"];1922[label="ywz5000 <= ywz4000",fontsize=16,color="blue",shape="box"];5240[label="<= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5240[label="",style="solid", color="blue", weight=9]; 5240 -> 2049[label="",style="solid", color="blue", weight=3]; 5241[label="<= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5241[label="",style="solid", color="blue", weight=9]; 5241 -> 2050[label="",style="solid", color="blue", weight=3]; 5242[label="<= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5242[label="",style="solid", color="blue", weight=9]; 5242 -> 2051[label="",style="solid", color="blue", weight=3]; 5243[label="<= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5243[label="",style="solid", color="blue", weight=9]; 5243 -> 2052[label="",style="solid", color="blue", weight=3]; 5244[label="<= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5244[label="",style="solid", color="blue", weight=9]; 5244 -> 2053[label="",style="solid", color="blue", weight=3]; 5245[label="<= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5245[label="",style="solid", color="blue", weight=9]; 5245 -> 2054[label="",style="solid", color="blue", weight=3]; 5246[label="<= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5246[label="",style="solid", color="blue", weight=9]; 5246 -> 2055[label="",style="solid", color="blue", weight=3]; 5247[label="<= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5247[label="",style="solid", color="blue", weight=9]; 5247 -> 2056[label="",style="solid", color="blue", weight=3]; 5248[label="<= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5248[label="",style="solid", color="blue", weight=9]; 5248 -> 2057[label="",style="solid", color="blue", weight=3]; 5249[label="<= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5249[label="",style="solid", color="blue", weight=9]; 5249 -> 2058[label="",style="solid", color="blue", weight=3]; 5250[label="<= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5250[label="",style="solid", color="blue", weight=9]; 5250 -> 2059[label="",style="solid", color="blue", weight=3]; 5251[label="<= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5251[label="",style="solid", color="blue", weight=9]; 5251 -> 2060[label="",style="solid", color="blue", weight=3]; 5252[label="<= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5252[label="",style="solid", color="blue", weight=9]; 5252 -> 2061[label="",style="solid", color="blue", weight=3]; 5253[label="<= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1922 -> 5253[label="",style="solid", color="blue", weight=9]; 5253 -> 2062[label="",style="solid", color="blue", weight=3]; 1923[label="True",fontsize=16,color="green",shape="box"];1924[label="True",fontsize=16,color="green",shape="box"];1925[label="False",fontsize=16,color="green",shape="box"];1926[label="True",fontsize=16,color="green",shape="box"];1904 -> 120[label="",style="dashed", color="red", weight=0]; 1904[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1904 -> 2063[label="",style="dashed", color="magenta", weight=3]; 1904 -> 2064[label="",style="dashed", color="magenta", weight=3]; 1905 -> 120[label="",style="dashed", color="red", weight=0]; 1905[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1905 -> 2065[label="",style="dashed", color="magenta", weight=3]; 1905 -> 2066[label="",style="dashed", color="magenta", weight=3]; 1906 -> 120[label="",style="dashed", color="red", weight=0]; 1906[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1906 -> 2067[label="",style="dashed", color="magenta", weight=3]; 1906 -> 2068[label="",style="dashed", color="magenta", weight=3]; 1927[label="True",fontsize=16,color="green",shape="box"];1928[label="True",fontsize=16,color="green",shape="box"];1929[label="False",fontsize=16,color="green",shape="box"];1930[label="ywz5000 <= ywz4000",fontsize=16,color="blue",shape="box"];5254[label="<= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5254[label="",style="solid", color="blue", weight=9]; 5254 -> 2069[label="",style="solid", color="blue", weight=3]; 5255[label="<= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5255[label="",style="solid", color="blue", weight=9]; 5255 -> 2070[label="",style="solid", color="blue", weight=3]; 5256[label="<= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5256[label="",style="solid", color="blue", weight=9]; 5256 -> 2071[label="",style="solid", color="blue", weight=3]; 5257[label="<= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5257[label="",style="solid", color="blue", weight=9]; 5257 -> 2072[label="",style="solid", color="blue", weight=3]; 5258[label="<= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5258[label="",style="solid", color="blue", weight=9]; 5258 -> 2073[label="",style="solid", color="blue", weight=3]; 5259[label="<= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5259[label="",style="solid", color="blue", weight=9]; 5259 -> 2074[label="",style="solid", color="blue", weight=3]; 5260[label="<= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5260[label="",style="solid", color="blue", weight=9]; 5260 -> 2075[label="",style="solid", color="blue", weight=3]; 5261[label="<= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5261[label="",style="solid", color="blue", weight=9]; 5261 -> 2076[label="",style="solid", color="blue", weight=3]; 5262[label="<= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5262[label="",style="solid", color="blue", weight=9]; 5262 -> 2077[label="",style="solid", color="blue", weight=3]; 5263[label="<= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5263[label="",style="solid", color="blue", weight=9]; 5263 -> 2078[label="",style="solid", color="blue", weight=3]; 5264[label="<= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5264[label="",style="solid", color="blue", weight=9]; 5264 -> 2079[label="",style="solid", color="blue", weight=3]; 5265[label="<= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5265[label="",style="solid", color="blue", weight=9]; 5265 -> 2080[label="",style="solid", color="blue", weight=3]; 5266[label="<= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5266[label="",style="solid", color="blue", weight=9]; 5266 -> 2081[label="",style="solid", color="blue", weight=3]; 5267[label="<= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];1930 -> 5267[label="",style="solid", color="blue", weight=9]; 5267 -> 2082[label="",style="solid", color="blue", weight=3]; 1907 -> 120[label="",style="dashed", color="red", weight=0]; 1907[label="compare ywz500 ywz400 == GT",fontsize=16,color="magenta"];1907 -> 2083[label="",style="dashed", color="magenta", weight=3]; 1907 -> 2084[label="",style="dashed", color="magenta", weight=3]; 1931[label="GT",fontsize=16,color="green",shape="box"];1826[label="FiniteMap.addToFM_C4 FiniteMap.addToFM0 FiniteMap.EmptyFM (Just ywz400) ywz41",fontsize=16,color="black",shape="box"];1826 -> 1967[label="",style="solid", color="black", weight=3]; 1827[label="FiniteMap.addToFM_C3 FiniteMap.addToFM0 (FiniteMap.Branch ywz440 ywz441 ywz442 ywz443 ywz444) (Just ywz400) ywz41",fontsize=16,color="black",shape="box"];1827 -> 1968[label="",style="solid", color="black", weight=3]; 2803 -> 2793[label="",style="dashed", color="red", weight=0]; 2803[label="FiniteMap.mkVBalBranch3Size_r ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=16,color="magenta"];2803 -> 2837[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2838[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2839[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2840[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2841[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2842[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2843[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2844[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2845[label="",style="dashed", color="magenta", weight=3]; 2803 -> 2846[label="",style="dashed", color="magenta", weight=3]; 2804 -> 1120[label="",style="dashed", color="red", weight=0]; 2804[label="FiniteMap.sIZE_RATIO * FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=16,color="magenta"];2804 -> 2847[label="",style="dashed", color="magenta", weight=3]; 2804 -> 2848[label="",style="dashed", color="magenta", weight=3]; 3724 -> 3292[label="",style="dashed", color="red", weight=0]; 3724[label="primPlusNat ywz21200 ywz4000000",fontsize=16,color="magenta"];3724 -> 3747[label="",style="dashed", color="magenta", weight=3]; 3724 -> 3748[label="",style="dashed", color="magenta", weight=3]; 4165 -> 1120[label="",style="dashed", color="red", weight=0]; 4165[label="Pos ywz50010 * ywz4000",fontsize=16,color="magenta"];4165 -> 4381[label="",style="dashed", color="magenta", weight=3]; 4165 -> 4382[label="",style="dashed", color="magenta", weight=3]; 4166 -> 1120[label="",style="dashed", color="red", weight=0]; 4166[label="ywz5000 * Pos ywz40010",fontsize=16,color="magenta"];4166 -> 4383[label="",style="dashed", color="magenta", weight=3]; 4166 -> 4384[label="",style="dashed", color="magenta", weight=3]; 4167 -> 1120[label="",style="dashed", color="red", weight=0]; 4167[label="Neg ywz50010 * ywz4000",fontsize=16,color="magenta"];4167 -> 4385[label="",style="dashed", color="magenta", weight=3]; 4167 -> 4386[label="",style="dashed", color="magenta", weight=3]; 4168 -> 1120[label="",style="dashed", color="red", weight=0]; 4168[label="ywz5000 * Pos ywz40010",fontsize=16,color="magenta"];4168 -> 4387[label="",style="dashed", color="magenta", weight=3]; 4168 -> 4388[label="",style="dashed", color="magenta", weight=3]; 4169 -> 1120[label="",style="dashed", color="red", weight=0]; 4169[label="Pos ywz50010 * ywz4000",fontsize=16,color="magenta"];4169 -> 4389[label="",style="dashed", color="magenta", weight=3]; 4169 -> 4390[label="",style="dashed", color="magenta", weight=3]; 4170 -> 1120[label="",style="dashed", color="red", weight=0]; 4170[label="ywz5000 * Neg ywz40010",fontsize=16,color="magenta"];4170 -> 4391[label="",style="dashed", color="magenta", weight=3]; 4170 -> 4392[label="",style="dashed", color="magenta", weight=3]; 4171 -> 1120[label="",style="dashed", color="red", weight=0]; 4171[label="Neg ywz50010 * ywz4000",fontsize=16,color="magenta"];4171 -> 4393[label="",style="dashed", color="magenta", weight=3]; 4171 -> 4394[label="",style="dashed", color="magenta", weight=3]; 4172 -> 1120[label="",style="dashed", color="red", weight=0]; 4172[label="ywz5000 * Neg ywz40010",fontsize=16,color="magenta"];4172 -> 4395[label="",style="dashed", color="magenta", weight=3]; 4172 -> 4396[label="",style="dashed", color="magenta", weight=3]; 4156[label="Integer ywz40000 * Integer ywz50010",fontsize=16,color="black",shape="box"];4156 -> 4368[label="",style="solid", color="black", weight=3]; 4614[label="compare0 ywz5000 ywz4000 otherwise",fontsize=16,color="black",shape="box"];4614 -> 4631[label="",style="solid", color="black", weight=3]; 4615[label="LT",fontsize=16,color="green",shape="box"];4616[label="compare0 ywz5000 ywz4000 otherwise",fontsize=16,color="black",shape="box"];4616 -> 4632[label="",style="solid", color="black", weight=3]; 4617[label="LT",fontsize=16,color="green",shape="box"];4618[label="compare0 ywz5000 ywz4000 otherwise",fontsize=16,color="black",shape="box"];4618 -> 4633[label="",style="solid", color="black", weight=3]; 4619[label="LT",fontsize=16,color="green",shape="box"];4193 -> 2019[label="",style="dashed", color="red", weight=0]; 4193[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4193 -> 4407[label="",style="dashed", color="magenta", weight=3]; 4193 -> 4408[label="",style="dashed", color="magenta", weight=3]; 4194 -> 2023[label="",style="dashed", color="red", weight=0]; 4194[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4194 -> 4409[label="",style="dashed", color="magenta", weight=3]; 4194 -> 4410[label="",style="dashed", color="magenta", weight=3]; 4195 -> 2025[label="",style="dashed", color="red", weight=0]; 4195[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4195 -> 4411[label="",style="dashed", color="magenta", weight=3]; 4195 -> 4412[label="",style="dashed", color="magenta", weight=3]; 4196 -> 2027[label="",style="dashed", color="red", weight=0]; 4196[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4196 -> 4413[label="",style="dashed", color="magenta", weight=3]; 4196 -> 4414[label="",style="dashed", color="magenta", weight=3]; 4197 -> 3532[label="",style="dashed", color="red", weight=0]; 4197[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4197 -> 4415[label="",style="dashed", color="magenta", weight=3]; 4197 -> 4416[label="",style="dashed", color="magenta", weight=3]; 4198 -> 3534[label="",style="dashed", color="red", weight=0]; 4198[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4198 -> 4417[label="",style="dashed", color="magenta", weight=3]; 4198 -> 4418[label="",style="dashed", color="magenta", weight=3]; 4199 -> 3536[label="",style="dashed", color="red", weight=0]; 4199[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4199 -> 4419[label="",style="dashed", color="magenta", weight=3]; 4199 -> 4420[label="",style="dashed", color="magenta", weight=3]; 4200 -> 3538[label="",style="dashed", color="red", weight=0]; 4200[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4200 -> 4421[label="",style="dashed", color="magenta", weight=3]; 4200 -> 4422[label="",style="dashed", color="magenta", weight=3]; 4201 -> 3540[label="",style="dashed", color="red", weight=0]; 4201[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4201 -> 4423[label="",style="dashed", color="magenta", weight=3]; 4201 -> 4424[label="",style="dashed", color="magenta", weight=3]; 4202 -> 2064[label="",style="dashed", color="red", weight=0]; 4202[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4202 -> 4425[label="",style="dashed", color="magenta", weight=3]; 4202 -> 4426[label="",style="dashed", color="magenta", weight=3]; 4203 -> 2066[label="",style="dashed", color="red", weight=0]; 4203[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4203 -> 4427[label="",style="dashed", color="magenta", weight=3]; 4203 -> 4428[label="",style="dashed", color="magenta", weight=3]; 4204 -> 2068[label="",style="dashed", color="red", weight=0]; 4204[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4204 -> 4429[label="",style="dashed", color="magenta", weight=3]; 4204 -> 4430[label="",style="dashed", color="magenta", weight=3]; 4205 -> 467[label="",style="dashed", color="red", weight=0]; 4205[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4205 -> 4431[label="",style="dashed", color="magenta", weight=3]; 4205 -> 4432[label="",style="dashed", color="magenta", weight=3]; 4206 -> 2084[label="",style="dashed", color="red", weight=0]; 4206[label="compare ywz5000 ywz4000",fontsize=16,color="magenta"];4206 -> 4433[label="",style="dashed", color="magenta", weight=3]; 4206 -> 4434[label="",style="dashed", color="magenta", weight=3]; 4207[label="primCompAux0 ywz301 LT",fontsize=16,color="black",shape="box"];4207 -> 4435[label="",style="solid", color="black", weight=3]; 4208[label="primCompAux0 ywz301 EQ",fontsize=16,color="black",shape="box"];4208 -> 4436[label="",style="solid", color="black", weight=3]; 4209[label="primCompAux0 ywz301 GT",fontsize=16,color="black",shape="box"];4209 -> 4437[label="",style="solid", color="black", weight=3]; 4620[label="compare0 ywz5000 ywz4000 otherwise",fontsize=16,color="black",shape="box"];4620 -> 4634[label="",style="solid", color="black", weight=3]; 4621[label="LT",fontsize=16,color="green",shape="box"];4157 -> 1120[label="",style="dashed", color="red", weight=0]; 4157[label="Pos ywz50010 * ywz4000",fontsize=16,color="magenta"];4157 -> 4369[label="",style="dashed", color="magenta", weight=3]; 4158 -> 1120[label="",style="dashed", color="red", weight=0]; 4158[label="ywz5000 * Pos ywz40010",fontsize=16,color="magenta"];4158 -> 4370[label="",style="dashed", color="magenta", weight=3]; 4158 -> 4371[label="",style="dashed", color="magenta", weight=3]; 4159 -> 1120[label="",style="dashed", color="red", weight=0]; 4159[label="Neg ywz50010 * ywz4000",fontsize=16,color="magenta"];4159 -> 4372[label="",style="dashed", color="magenta", weight=3]; 4160 -> 1120[label="",style="dashed", color="red", weight=0]; 4160[label="ywz5000 * Pos ywz40010",fontsize=16,color="magenta"];4160 -> 4373[label="",style="dashed", color="magenta", weight=3]; 4160 -> 4374[label="",style="dashed", color="magenta", weight=3]; 4161 -> 1120[label="",style="dashed", color="red", weight=0]; 4161[label="Pos ywz50010 * ywz4000",fontsize=16,color="magenta"];4161 -> 4375[label="",style="dashed", color="magenta", weight=3]; 4162 -> 1120[label="",style="dashed", color="red", weight=0]; 4162[label="ywz5000 * Neg ywz40010",fontsize=16,color="magenta"];4162 -> 4376[label="",style="dashed", color="magenta", weight=3]; 4162 -> 4377[label="",style="dashed", color="magenta", weight=3]; 4163 -> 1120[label="",style="dashed", color="red", weight=0]; 4163[label="Neg ywz50010 * ywz4000",fontsize=16,color="magenta"];4163 -> 4378[label="",style="dashed", color="magenta", weight=3]; 4164 -> 1120[label="",style="dashed", color="red", weight=0]; 4164[label="ywz5000 * Neg ywz40010",fontsize=16,color="magenta"];4164 -> 4379[label="",style="dashed", color="magenta", weight=3]; 4164 -> 4380[label="",style="dashed", color="magenta", weight=3]; 4622[label="compare0 ywz5000 ywz4000 otherwise",fontsize=16,color="black",shape="box"];4622 -> 4635[label="",style="solid", color="black", weight=3]; 4623[label="LT",fontsize=16,color="green",shape="box"];4636[label="FiniteMap.sizeFM FiniteMap.EmptyFM",fontsize=16,color="black",shape="box"];4636 -> 4645[label="",style="solid", color="black", weight=3]; 4637[label="FiniteMap.sizeFM (FiniteMap.Branch ywz3500 ywz3501 ywz3502 ywz3503 ywz3504)",fontsize=16,color="black",shape="box"];4637 -> 4646[label="",style="solid", color="black", weight=3]; 4638[label="ywz351",fontsize=16,color="green",shape="box"];4639[label="ywz351",fontsize=16,color="green",shape="box"];3736[label="ywz179200",fontsize=16,color="green",shape="box"];3737[label="ywz23900",fontsize=16,color="green",shape="box"];3738[label="ywz17920",fontsize=16,color="green",shape="box"];3739[label="ywz2400",fontsize=16,color="green",shape="box"];3741 -> 2792[label="",style="dashed", color="red", weight=0]; 3741[label="FiniteMap.sizeFM ywz1794 < Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz1793",fontsize=16,color="magenta"];3741 -> 3749[label="",style="dashed", color="magenta", weight=3]; 3741 -> 3750[label="",style="dashed", color="magenta", weight=3]; 3740[label="FiniteMap.mkBalBranch6MkBalBranch11 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 ywz1790 ywz1791 ywz1792 ywz1793 ywz1794 ywz254",fontsize=16,color="burlywood",shape="triangle"];5268[label="ywz254/False",fontsize=10,color="white",style="solid",shape="box"];3740 -> 5268[label="",style="solid", color="burlywood", weight=9]; 5268 -> 3751[label="",style="solid", color="burlywood", weight=3]; 5269[label="ywz254/True",fontsize=10,color="white",style="solid",shape="box"];3740 -> 5269[label="",style="solid", color="burlywood", weight=9]; 5269 -> 3752[label="",style="solid", color="burlywood", weight=3]; 3742[label="ywz4444",fontsize=16,color="green",shape="box"];3743[label="FiniteMap.mkBalBranch6MkBalBranch00 ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz4440 ywz4441 ywz4442 ywz4443 ywz4444 True",fontsize=16,color="black",shape="box"];3743 -> 3762[label="",style="solid", color="black", weight=3]; 3744 -> 4241[label="",style="dashed", color="red", weight=0]; 3744[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ Zero)))) ywz4440 ywz4441 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) ywz440 ywz441 ywz179 ywz4443) ywz4444",fontsize=16,color="magenta"];3744 -> 4262[label="",style="dashed", color="magenta", weight=3]; 3744 -> 4263[label="",style="dashed", color="magenta", weight=3]; 3744 -> 4264[label="",style="dashed", color="magenta", weight=3]; 3744 -> 4265[label="",style="dashed", color="magenta", weight=3]; 3744 -> 4266[label="",style="dashed", color="magenta", weight=3]; 1950[label="FiniteMap.unitFM Nothing ywz41",fontsize=16,color="black",shape="box"];1950 -> 2109[label="",style="solid", color="black", weight=3]; 1951 -> 3144[label="",style="dashed", color="red", weight=0]; 1951[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz440 ywz441 ywz442 ywz443 ywz444 Nothing ywz41 (Nothing < ywz440)",fontsize=16,color="magenta"];1951 -> 3229[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3230[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3231[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3232[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3233[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3234[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3235[label="",style="dashed", color="magenta", weight=3]; 1951 -> 3236[label="",style="dashed", color="magenta", weight=3]; 2825[label="ywz712",fontsize=16,color="green",shape="box"];2826[label="ywz713",fontsize=16,color="green",shape="box"];2827[label="ywz442",fontsize=16,color="green",shape="box"];2828[label="ywz443",fontsize=16,color="green",shape="box"];2829[label="ywz710",fontsize=16,color="green",shape="box"];2830[label="ywz440",fontsize=16,color="green",shape="box"];2831[label="ywz441",fontsize=16,color="green",shape="box"];2832[label="ywz711",fontsize=16,color="green",shape="box"];2833[label="ywz444",fontsize=16,color="green",shape="box"];2834[label="ywz714",fontsize=16,color="green",shape="box"];2835 -> 2797[label="",style="dashed", color="red", weight=0]; 2835[label="FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz710 ywz711 ywz712 ywz713 ywz714",fontsize=16,color="magenta"];2835 -> 3028[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3029[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3030[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3031[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3032[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3033[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3034[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3035[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3036[label="",style="dashed", color="magenta", weight=3]; 2835 -> 3037[label="",style="dashed", color="magenta", weight=3]; 2836 -> 2811[label="",style="dashed", color="red", weight=0]; 2836[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];2018[label="GT",fontsize=16,color="green",shape="box"];2020[label="not False",fontsize=16,color="black",shape="box"];2020 -> 2328[label="",style="solid", color="black", weight=3]; 2021[label="not True",fontsize=16,color="black",shape="box"];2021 -> 2329[label="",style="solid", color="black", weight=3]; 2022[label="GT",fontsize=16,color="green",shape="box"];2024[label="GT",fontsize=16,color="green",shape="box"];2026[label="GT",fontsize=16,color="green",shape="box"];2336 -> 1101[label="",style="dashed", color="red", weight=0]; 2336[label="ywz5000 == ywz4000 && ywz5001 <= ywz4001",fontsize=16,color="magenta"];2336 -> 2355[label="",style="dashed", color="magenta", weight=3]; 2336 -> 2356[label="",style="dashed", color="magenta", weight=3]; 2337[label="ywz5000 < ywz4000",fontsize=16,color="blue",shape="box"];5270[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5270[label="",style="solid", color="blue", weight=9]; 5270 -> 2357[label="",style="solid", color="blue", weight=3]; 5271[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5271[label="",style="solid", color="blue", weight=9]; 5271 -> 2358[label="",style="solid", color="blue", weight=3]; 5272[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5272[label="",style="solid", color="blue", weight=9]; 5272 -> 2359[label="",style="solid", color="blue", weight=3]; 5273[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5273[label="",style="solid", color="blue", weight=9]; 5273 -> 2360[label="",style="solid", color="blue", weight=3]; 5274[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5274[label="",style="solid", color="blue", weight=9]; 5274 -> 2361[label="",style="solid", color="blue", weight=3]; 5275[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5275[label="",style="solid", color="blue", weight=9]; 5275 -> 2362[label="",style="solid", color="blue", weight=3]; 5276[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5276[label="",style="solid", color="blue", weight=9]; 5276 -> 2363[label="",style="solid", color="blue", weight=3]; 5277[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5277[label="",style="solid", color="blue", weight=9]; 5277 -> 2364[label="",style="solid", color="blue", weight=3]; 5278[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5278[label="",style="solid", color="blue", weight=9]; 5278 -> 2365[label="",style="solid", color="blue", weight=3]; 5279[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5279[label="",style="solid", color="blue", weight=9]; 5279 -> 2366[label="",style="solid", color="blue", weight=3]; 5280[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5280[label="",style="solid", color="blue", weight=9]; 5280 -> 2367[label="",style="solid", color="blue", weight=3]; 5281[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5281[label="",style="solid", color="blue", weight=9]; 5281 -> 2368[label="",style="solid", color="blue", weight=3]; 5282[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5282[label="",style="solid", color="blue", weight=9]; 5282 -> 2369[label="",style="solid", color="blue", weight=3]; 5283[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2337 -> 5283[label="",style="solid", color="blue", weight=9]; 5283 -> 2370[label="",style="solid", color="blue", weight=3]; 2335[label="ywz187 || ywz188",fontsize=16,color="burlywood",shape="triangle"];5284[label="ywz187/False",fontsize=10,color="white",style="solid",shape="box"];2335 -> 5284[label="",style="solid", color="burlywood", weight=9]; 5284 -> 2371[label="",style="solid", color="burlywood", weight=3]; 5285[label="ywz187/True",fontsize=10,color="white",style="solid",shape="box"];2335 -> 5285[label="",style="solid", color="burlywood", weight=9]; 5285 -> 2372[label="",style="solid", color="burlywood", weight=3]; 2338 -> 1101[label="",style="dashed", color="red", weight=0]; 2338[label="ywz5000 == ywz4000 && (ywz5001 < ywz4001 || ywz5001 == ywz4001 && ywz5002 <= ywz4002)",fontsize=16,color="magenta"];2338 -> 2373[label="",style="dashed", color="magenta", weight=3]; 2338 -> 2374[label="",style="dashed", color="magenta", weight=3]; 2339[label="ywz5000 < ywz4000",fontsize=16,color="blue",shape="box"];5286[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5286[label="",style="solid", color="blue", weight=9]; 5286 -> 2375[label="",style="solid", color="blue", weight=3]; 5287[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5287[label="",style="solid", color="blue", weight=9]; 5287 -> 2376[label="",style="solid", color="blue", weight=3]; 5288[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5288[label="",style="solid", color="blue", weight=9]; 5288 -> 2377[label="",style="solid", color="blue", weight=3]; 5289[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5289[label="",style="solid", color="blue", weight=9]; 5289 -> 2378[label="",style="solid", color="blue", weight=3]; 5290[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5290[label="",style="solid", color="blue", weight=9]; 5290 -> 2379[label="",style="solid", color="blue", weight=3]; 5291[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5291[label="",style="solid", color="blue", weight=9]; 5291 -> 2380[label="",style="solid", color="blue", weight=3]; 5292[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5292[label="",style="solid", color="blue", weight=9]; 5292 -> 2381[label="",style="solid", color="blue", weight=3]; 5293[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5293[label="",style="solid", color="blue", weight=9]; 5293 -> 2382[label="",style="solid", color="blue", weight=3]; 5294[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5294[label="",style="solid", color="blue", weight=9]; 5294 -> 2383[label="",style="solid", color="blue", weight=3]; 5295[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5295[label="",style="solid", color="blue", weight=9]; 5295 -> 2384[label="",style="solid", color="blue", weight=3]; 5296[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5296[label="",style="solid", color="blue", weight=9]; 5296 -> 2385[label="",style="solid", color="blue", weight=3]; 5297[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5297[label="",style="solid", color="blue", weight=9]; 5297 -> 2386[label="",style="solid", color="blue", weight=3]; 5298[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5298[label="",style="solid", color="blue", weight=9]; 5298 -> 2387[label="",style="solid", color="blue", weight=3]; 5299[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2339 -> 5299[label="",style="solid", color="blue", weight=9]; 5299 -> 2388[label="",style="solid", color="blue", weight=3]; 2035 -> 1344[label="",style="dashed", color="red", weight=0]; 2035[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2035 -> 2389[label="",style="dashed", color="magenta", weight=3]; 2035 -> 2390[label="",style="dashed", color="magenta", weight=3]; 2036 -> 1345[label="",style="dashed", color="red", weight=0]; 2036[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2036 -> 2391[label="",style="dashed", color="magenta", weight=3]; 2036 -> 2392[label="",style="dashed", color="magenta", weight=3]; 2037 -> 1346[label="",style="dashed", color="red", weight=0]; 2037[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2037 -> 2393[label="",style="dashed", color="magenta", weight=3]; 2037 -> 2394[label="",style="dashed", color="magenta", weight=3]; 2038 -> 1347[label="",style="dashed", color="red", weight=0]; 2038[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2038 -> 2395[label="",style="dashed", color="magenta", weight=3]; 2038 -> 2396[label="",style="dashed", color="magenta", weight=3]; 2039 -> 1348[label="",style="dashed", color="red", weight=0]; 2039[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2039 -> 2397[label="",style="dashed", color="magenta", weight=3]; 2039 -> 2398[label="",style="dashed", color="magenta", weight=3]; 2040 -> 1349[label="",style="dashed", color="red", weight=0]; 2040[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2040 -> 2399[label="",style="dashed", color="magenta", weight=3]; 2040 -> 2400[label="",style="dashed", color="magenta", weight=3]; 2041 -> 1350[label="",style="dashed", color="red", weight=0]; 2041[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2041 -> 2401[label="",style="dashed", color="magenta", weight=3]; 2041 -> 2402[label="",style="dashed", color="magenta", weight=3]; 2042 -> 1351[label="",style="dashed", color="red", weight=0]; 2042[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2042 -> 2403[label="",style="dashed", color="magenta", weight=3]; 2042 -> 2404[label="",style="dashed", color="magenta", weight=3]; 2043 -> 1352[label="",style="dashed", color="red", weight=0]; 2043[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2043 -> 2405[label="",style="dashed", color="magenta", weight=3]; 2043 -> 2406[label="",style="dashed", color="magenta", weight=3]; 2044 -> 1353[label="",style="dashed", color="red", weight=0]; 2044[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2044 -> 2407[label="",style="dashed", color="magenta", weight=3]; 2044 -> 2408[label="",style="dashed", color="magenta", weight=3]; 2045 -> 1354[label="",style="dashed", color="red", weight=0]; 2045[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2045 -> 2409[label="",style="dashed", color="magenta", weight=3]; 2045 -> 2410[label="",style="dashed", color="magenta", weight=3]; 2046 -> 1355[label="",style="dashed", color="red", weight=0]; 2046[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2046 -> 2411[label="",style="dashed", color="magenta", weight=3]; 2046 -> 2412[label="",style="dashed", color="magenta", weight=3]; 2047 -> 1356[label="",style="dashed", color="red", weight=0]; 2047[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2047 -> 2413[label="",style="dashed", color="magenta", weight=3]; 2047 -> 2414[label="",style="dashed", color="magenta", weight=3]; 2048 -> 1357[label="",style="dashed", color="red", weight=0]; 2048[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2048 -> 2415[label="",style="dashed", color="magenta", weight=3]; 2048 -> 2416[label="",style="dashed", color="magenta", weight=3]; 2049 -> 1344[label="",style="dashed", color="red", weight=0]; 2049[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2049 -> 2417[label="",style="dashed", color="magenta", weight=3]; 2049 -> 2418[label="",style="dashed", color="magenta", weight=3]; 2050 -> 1345[label="",style="dashed", color="red", weight=0]; 2050[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2050 -> 2419[label="",style="dashed", color="magenta", weight=3]; 2050 -> 2420[label="",style="dashed", color="magenta", weight=3]; 2051 -> 1346[label="",style="dashed", color="red", weight=0]; 2051[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2051 -> 2421[label="",style="dashed", color="magenta", weight=3]; 2051 -> 2422[label="",style="dashed", color="magenta", weight=3]; 2052 -> 1347[label="",style="dashed", color="red", weight=0]; 2052[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2052 -> 2423[label="",style="dashed", color="magenta", weight=3]; 2052 -> 2424[label="",style="dashed", color="magenta", weight=3]; 2053 -> 1348[label="",style="dashed", color="red", weight=0]; 2053[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2053 -> 2425[label="",style="dashed", color="magenta", weight=3]; 2053 -> 2426[label="",style="dashed", color="magenta", weight=3]; 2054 -> 1349[label="",style="dashed", color="red", weight=0]; 2054[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2054 -> 2427[label="",style="dashed", color="magenta", weight=3]; 2054 -> 2428[label="",style="dashed", color="magenta", weight=3]; 2055 -> 1350[label="",style="dashed", color="red", weight=0]; 2055[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2055 -> 2429[label="",style="dashed", color="magenta", weight=3]; 2055 -> 2430[label="",style="dashed", color="magenta", weight=3]; 2056 -> 1351[label="",style="dashed", color="red", weight=0]; 2056[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2056 -> 2431[label="",style="dashed", color="magenta", weight=3]; 2056 -> 2432[label="",style="dashed", color="magenta", weight=3]; 2057 -> 1352[label="",style="dashed", color="red", weight=0]; 2057[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2057 -> 2433[label="",style="dashed", color="magenta", weight=3]; 2057 -> 2434[label="",style="dashed", color="magenta", weight=3]; 2058 -> 1353[label="",style="dashed", color="red", weight=0]; 2058[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2058 -> 2435[label="",style="dashed", color="magenta", weight=3]; 2058 -> 2436[label="",style="dashed", color="magenta", weight=3]; 2059 -> 1354[label="",style="dashed", color="red", weight=0]; 2059[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2059 -> 2437[label="",style="dashed", color="magenta", weight=3]; 2059 -> 2438[label="",style="dashed", color="magenta", weight=3]; 2060 -> 1355[label="",style="dashed", color="red", weight=0]; 2060[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2060 -> 2439[label="",style="dashed", color="magenta", weight=3]; 2060 -> 2440[label="",style="dashed", color="magenta", weight=3]; 2061 -> 1356[label="",style="dashed", color="red", weight=0]; 2061[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2061 -> 2441[label="",style="dashed", color="magenta", weight=3]; 2061 -> 2442[label="",style="dashed", color="magenta", weight=3]; 2062 -> 1357[label="",style="dashed", color="red", weight=0]; 2062[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2062 -> 2443[label="",style="dashed", color="magenta", weight=3]; 2062 -> 2444[label="",style="dashed", color="magenta", weight=3]; 2063[label="GT",fontsize=16,color="green",shape="box"];2065[label="GT",fontsize=16,color="green",shape="box"];2067[label="GT",fontsize=16,color="green",shape="box"];2069 -> 1344[label="",style="dashed", color="red", weight=0]; 2069[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2069 -> 2449[label="",style="dashed", color="magenta", weight=3]; 2069 -> 2450[label="",style="dashed", color="magenta", weight=3]; 2070 -> 1345[label="",style="dashed", color="red", weight=0]; 2070[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2070 -> 2451[label="",style="dashed", color="magenta", weight=3]; 2070 -> 2452[label="",style="dashed", color="magenta", weight=3]; 2071 -> 1346[label="",style="dashed", color="red", weight=0]; 2071[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2071 -> 2453[label="",style="dashed", color="magenta", weight=3]; 2071 -> 2454[label="",style="dashed", color="magenta", weight=3]; 2072 -> 1347[label="",style="dashed", color="red", weight=0]; 2072[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2072 -> 2455[label="",style="dashed", color="magenta", weight=3]; 2072 -> 2456[label="",style="dashed", color="magenta", weight=3]; 2073 -> 1348[label="",style="dashed", color="red", weight=0]; 2073[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2073 -> 2457[label="",style="dashed", color="magenta", weight=3]; 2073 -> 2458[label="",style="dashed", color="magenta", weight=3]; 2074 -> 1349[label="",style="dashed", color="red", weight=0]; 2074[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2074 -> 2459[label="",style="dashed", color="magenta", weight=3]; 2074 -> 2460[label="",style="dashed", color="magenta", weight=3]; 2075 -> 1350[label="",style="dashed", color="red", weight=0]; 2075[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2075 -> 2461[label="",style="dashed", color="magenta", weight=3]; 2075 -> 2462[label="",style="dashed", color="magenta", weight=3]; 2076 -> 1351[label="",style="dashed", color="red", weight=0]; 2076[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2076 -> 2463[label="",style="dashed", color="magenta", weight=3]; 2076 -> 2464[label="",style="dashed", color="magenta", weight=3]; 2077 -> 1352[label="",style="dashed", color="red", weight=0]; 2077[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2077 -> 2465[label="",style="dashed", color="magenta", weight=3]; 2077 -> 2466[label="",style="dashed", color="magenta", weight=3]; 2078 -> 1353[label="",style="dashed", color="red", weight=0]; 2078[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2078 -> 2467[label="",style="dashed", color="magenta", weight=3]; 2078 -> 2468[label="",style="dashed", color="magenta", weight=3]; 2079 -> 1354[label="",style="dashed", color="red", weight=0]; 2079[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2079 -> 2469[label="",style="dashed", color="magenta", weight=3]; 2079 -> 2470[label="",style="dashed", color="magenta", weight=3]; 2080 -> 1355[label="",style="dashed", color="red", weight=0]; 2080[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2080 -> 2471[label="",style="dashed", color="magenta", weight=3]; 2080 -> 2472[label="",style="dashed", color="magenta", weight=3]; 2081 -> 1356[label="",style="dashed", color="red", weight=0]; 2081[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2081 -> 2473[label="",style="dashed", color="magenta", weight=3]; 2081 -> 2474[label="",style="dashed", color="magenta", weight=3]; 2082 -> 1357[label="",style="dashed", color="red", weight=0]; 2082[label="ywz5000 <= ywz4000",fontsize=16,color="magenta"];2082 -> 2475[label="",style="dashed", color="magenta", weight=3]; 2082 -> 2476[label="",style="dashed", color="magenta", weight=3]; 2083[label="GT",fontsize=16,color="green",shape="box"];1967[label="FiniteMap.unitFM (Just ywz400) ywz41",fontsize=16,color="black",shape="box"];1967 -> 2151[label="",style="solid", color="black", weight=3]; 1968 -> 3144[label="",style="dashed", color="red", weight=0]; 1968[label="FiniteMap.addToFM_C2 FiniteMap.addToFM0 ywz440 ywz441 ywz442 ywz443 ywz444 (Just ywz400) ywz41 (Just ywz400 < ywz440)",fontsize=16,color="magenta"];1968 -> 3237[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3238[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3239[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3240[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3241[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3242[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3243[label="",style="dashed", color="magenta", weight=3]; 1968 -> 3244[label="",style="dashed", color="magenta", weight=3]; 2837[label="ywz722",fontsize=16,color="green",shape="box"];2838[label="ywz723",fontsize=16,color="green",shape="box"];2839[label="ywz442",fontsize=16,color="green",shape="box"];2840[label="ywz443",fontsize=16,color="green",shape="box"];2841[label="ywz720",fontsize=16,color="green",shape="box"];2842[label="ywz440",fontsize=16,color="green",shape="box"];2843[label="ywz441",fontsize=16,color="green",shape="box"];2844[label="ywz721",fontsize=16,color="green",shape="box"];2845[label="ywz444",fontsize=16,color="green",shape="box"];2846[label="ywz724",fontsize=16,color="green",shape="box"];2847 -> 2797[label="",style="dashed", color="red", weight=0]; 2847[label="FiniteMap.mkVBalBranch3Size_l ywz440 ywz441 ywz442 ywz443 ywz444 ywz720 ywz721 ywz722 ywz723 ywz724",fontsize=16,color="magenta"];2847 -> 3038[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3039[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3040[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3041[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3042[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3043[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3044[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3045[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3046[label="",style="dashed", color="magenta", weight=3]; 2847 -> 3047[label="",style="dashed", color="magenta", weight=3]; 2848 -> 2811[label="",style="dashed", color="red", weight=0]; 2848[label="FiniteMap.sIZE_RATIO",fontsize=16,color="magenta"];3747[label="ywz21200",fontsize=16,color="green",shape="box"];3748[label="ywz4000000",fontsize=16,color="green",shape="box"];4381[label="ywz4000",fontsize=16,color="green",shape="box"];4382[label="Pos ywz50010",fontsize=16,color="green",shape="box"];4383[label="Pos ywz40010",fontsize=16,color="green",shape="box"];4384[label="ywz5000",fontsize=16,color="green",shape="box"];4385[label="ywz4000",fontsize=16,color="green",shape="box"];4386[label="Neg ywz50010",fontsize=16,color="green",shape="box"];4387[label="Pos ywz40010",fontsize=16,color="green",shape="box"];4388[label="ywz5000",fontsize=16,color="green",shape="box"];4389[label="ywz4000",fontsize=16,color="green",shape="box"];4390[label="Pos ywz50010",fontsize=16,color="green",shape="box"];4391[label="Neg ywz40010",fontsize=16,color="green",shape="box"];4392[label="ywz5000",fontsize=16,color="green",shape="box"];4393[label="ywz4000",fontsize=16,color="green",shape="box"];4394[label="Neg ywz50010",fontsize=16,color="green",shape="box"];4395[label="Neg ywz40010",fontsize=16,color="green",shape="box"];4396[label="ywz5000",fontsize=16,color="green",shape="box"];4368[label="Integer (primMulInt ywz40000 ywz50010)",fontsize=16,color="green",shape="box"];4368 -> 4609[label="",style="dashed", color="green", weight=3]; 4631[label="compare0 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4631 -> 4640[label="",style="solid", color="black", weight=3]; 4632[label="compare0 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4632 -> 4641[label="",style="solid", color="black", weight=3]; 4633[label="compare0 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4633 -> 4642[label="",style="solid", color="black", weight=3]; 4407[label="ywz4000",fontsize=16,color="green",shape="box"];4408[label="ywz5000",fontsize=16,color="green",shape="box"];4409[label="ywz4000",fontsize=16,color="green",shape="box"];4410[label="ywz5000",fontsize=16,color="green",shape="box"];4411[label="ywz4000",fontsize=16,color="green",shape="box"];4412[label="ywz5000",fontsize=16,color="green",shape="box"];4413[label="ywz4000",fontsize=16,color="green",shape="box"];4414[label="ywz5000",fontsize=16,color="green",shape="box"];4415[label="ywz5000",fontsize=16,color="green",shape="box"];4416[label="ywz4000",fontsize=16,color="green",shape="box"];4417[label="ywz5000",fontsize=16,color="green",shape="box"];4418[label="ywz4000",fontsize=16,color="green",shape="box"];4419[label="ywz5000",fontsize=16,color="green",shape="box"];4420[label="ywz4000",fontsize=16,color="green",shape="box"];4421[label="ywz5000",fontsize=16,color="green",shape="box"];4422[label="ywz4000",fontsize=16,color="green",shape="box"];4423[label="ywz5000",fontsize=16,color="green",shape="box"];4424[label="ywz4000",fontsize=16,color="green",shape="box"];4425[label="ywz4000",fontsize=16,color="green",shape="box"];4426[label="ywz5000",fontsize=16,color="green",shape="box"];4427[label="ywz4000",fontsize=16,color="green",shape="box"];4428[label="ywz5000",fontsize=16,color="green",shape="box"];4429[label="ywz4000",fontsize=16,color="green",shape="box"];4430[label="ywz5000",fontsize=16,color="green",shape="box"];4431[label="ywz4000",fontsize=16,color="green",shape="box"];4432[label="ywz5000",fontsize=16,color="green",shape="box"];4433[label="ywz4000",fontsize=16,color="green",shape="box"];4434[label="ywz5000",fontsize=16,color="green",shape="box"];4435[label="LT",fontsize=16,color="green",shape="box"];4436[label="ywz301",fontsize=16,color="green",shape="box"];4437[label="GT",fontsize=16,color="green",shape="box"];4634[label="compare0 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4634 -> 4643[label="",style="solid", color="black", weight=3]; 4369[label="Pos ywz50010",fontsize=16,color="green",shape="box"];4370[label="Pos ywz40010",fontsize=16,color="green",shape="box"];4371[label="ywz5000",fontsize=16,color="green",shape="box"];4372[label="Neg ywz50010",fontsize=16,color="green",shape="box"];4373[label="Pos ywz40010",fontsize=16,color="green",shape="box"];4374[label="ywz5000",fontsize=16,color="green",shape="box"];4375[label="Pos ywz50010",fontsize=16,color="green",shape="box"];4376[label="Neg ywz40010",fontsize=16,color="green",shape="box"];4377[label="ywz5000",fontsize=16,color="green",shape="box"];4378[label="Neg ywz50010",fontsize=16,color="green",shape="box"];4379[label="Neg ywz40010",fontsize=16,color="green",shape="box"];4380[label="ywz5000",fontsize=16,color="green",shape="box"];4635[label="compare0 ywz5000 ywz4000 True",fontsize=16,color="black",shape="box"];4635 -> 4644[label="",style="solid", color="black", weight=3]; 4645[label="Pos Zero",fontsize=16,color="green",shape="box"];4646[label="ywz3502",fontsize=16,color="green",shape="box"];3749 -> 1120[label="",style="dashed", color="red", weight=0]; 3749[label="Pos (Succ (Succ Zero)) * FiniteMap.sizeFM ywz1793",fontsize=16,color="magenta"];3749 -> 3764[label="",style="dashed", color="magenta", weight=3]; 3749 -> 3765[label="",style="dashed", color="magenta", weight=3]; 3750 -> 3109[label="",style="dashed", color="red", weight=0]; 3750[label="FiniteMap.sizeFM ywz1794",fontsize=16,color="magenta"];3750 -> 3766[label="",style="dashed", color="magenta", weight=3]; 3751[label="FiniteMap.mkBalBranch6MkBalBranch11 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 ywz1790 ywz1791 ywz1792 ywz1793 ywz1794 False",fontsize=16,color="black",shape="box"];3751 -> 3767[label="",style="solid", color="black", weight=3]; 3752[label="FiniteMap.mkBalBranch6MkBalBranch11 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 ywz1790 ywz1791 ywz1792 ywz1793 ywz1794 True",fontsize=16,color="black",shape="box"];3752 -> 3768[label="",style="solid", color="black", weight=3]; 3762[label="FiniteMap.mkBalBranch6Double_L ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 ywz4443 ywz4444)",fontsize=16,color="burlywood",shape="box"];5300[label="ywz4443/FiniteMap.EmptyFM",fontsize=10,color="white",style="solid",shape="box"];3762 -> 5300[label="",style="solid", color="burlywood", weight=9]; 5300 -> 3771[label="",style="solid", color="burlywood", weight=3]; 5301[label="ywz4443/FiniteMap.Branch ywz44430 ywz44431 ywz44432 ywz44433 ywz44434",fontsize=10,color="white",style="solid",shape="box"];3762 -> 5301[label="",style="solid", color="burlywood", weight=9]; 5301 -> 3772[label="",style="solid", color="burlywood", weight=3]; 4262 -> 4241[label="",style="dashed", color="red", weight=0]; 4262[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ Zero))))) ywz440 ywz441 ywz179 ywz4443",fontsize=16,color="magenta"];4262 -> 4338[label="",style="dashed", color="magenta", weight=3]; 4262 -> 4339[label="",style="dashed", color="magenta", weight=3]; 4262 -> 4340[label="",style="dashed", color="magenta", weight=3]; 4262 -> 4341[label="",style="dashed", color="magenta", weight=3]; 4262 -> 4342[label="",style="dashed", color="magenta", weight=3]; 4263[label="ywz4444",fontsize=16,color="green",shape="box"];4264[label="ywz4441",fontsize=16,color="green",shape="box"];4265[label="Succ (Succ Zero)",fontsize=16,color="green",shape="box"];4266[label="ywz4440",fontsize=16,color="green",shape="box"];2109[label="FiniteMap.Branch Nothing ywz41 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];2109 -> 2319[label="",style="dashed", color="green", weight=3]; 2109 -> 2320[label="",style="dashed", color="green", weight=3]; 3229[label="ywz441",fontsize=16,color="green",shape="box"];3230[label="ywz41",fontsize=16,color="green",shape="box"];3231[label="ywz443",fontsize=16,color="green",shape="box"];3232 -> 357[label="",style="dashed", color="red", weight=0]; 3232[label="Nothing < ywz440",fontsize=16,color="magenta"];3232 -> 3445[label="",style="dashed", color="magenta", weight=3]; 3232 -> 3446[label="",style="dashed", color="magenta", weight=3]; 3233[label="Nothing",fontsize=16,color="green",shape="box"];3234[label="ywz440",fontsize=16,color="green",shape="box"];3235[label="ywz444",fontsize=16,color="green",shape="box"];3236[label="ywz442",fontsize=16,color="green",shape="box"];3028[label="ywz711",fontsize=16,color="green",shape="box"];3029[label="ywz442",fontsize=16,color="green",shape="box"];3030[label="ywz443",fontsize=16,color="green",shape="box"];3031[label="ywz440",fontsize=16,color="green",shape="box"];3032[label="ywz713",fontsize=16,color="green",shape="box"];3033[label="ywz441",fontsize=16,color="green",shape="box"];3034[label="ywz710",fontsize=16,color="green",shape="box"];3035[label="ywz714",fontsize=16,color="green",shape="box"];3036[label="ywz712",fontsize=16,color="green",shape="box"];3037[label="ywz444",fontsize=16,color="green",shape="box"];2328[label="True",fontsize=16,color="green",shape="box"];2329[label="False",fontsize=16,color="green",shape="box"];2355[label="ywz5001 <= ywz4001",fontsize=16,color="blue",shape="box"];5302[label="<= :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5302[label="",style="solid", color="blue", weight=9]; 5302 -> 2862[label="",style="solid", color="blue", weight=3]; 5303[label="<= :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5303[label="",style="solid", color="blue", weight=9]; 5303 -> 2863[label="",style="solid", color="blue", weight=3]; 5304[label="<= :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5304[label="",style="solid", color="blue", weight=9]; 5304 -> 2864[label="",style="solid", color="blue", weight=3]; 5305[label="<= :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5305[label="",style="solid", color="blue", weight=9]; 5305 -> 2865[label="",style="solid", color="blue", weight=3]; 5306[label="<= :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5306[label="",style="solid", color="blue", weight=9]; 5306 -> 2866[label="",style="solid", color="blue", weight=3]; 5307[label="<= :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5307[label="",style="solid", color="blue", weight=9]; 5307 -> 2867[label="",style="solid", color="blue", weight=3]; 5308[label="<= :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5308[label="",style="solid", color="blue", weight=9]; 5308 -> 2868[label="",style="solid", color="blue", weight=3]; 5309[label="<= :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5309[label="",style="solid", color="blue", weight=9]; 5309 -> 2869[label="",style="solid", color="blue", weight=3]; 5310[label="<= :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5310[label="",style="solid", color="blue", weight=9]; 5310 -> 2870[label="",style="solid", color="blue", weight=3]; 5311[label="<= :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5311[label="",style="solid", color="blue", weight=9]; 5311 -> 2871[label="",style="solid", color="blue", weight=3]; 5312[label="<= :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5312[label="",style="solid", color="blue", weight=9]; 5312 -> 2872[label="",style="solid", color="blue", weight=3]; 5313[label="<= :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5313[label="",style="solid", color="blue", weight=9]; 5313 -> 2873[label="",style="solid", color="blue", weight=3]; 5314[label="<= :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5314[label="",style="solid", color="blue", weight=9]; 5314 -> 2874[label="",style="solid", color="blue", weight=3]; 5315[label="<= :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2355 -> 5315[label="",style="solid", color="blue", weight=9]; 5315 -> 2875[label="",style="solid", color="blue", weight=3]; 2356[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];5316[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5316[label="",style="solid", color="blue", weight=9]; 5316 -> 2876[label="",style="solid", color="blue", weight=3]; 5317[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5317[label="",style="solid", color="blue", weight=9]; 5317 -> 2877[label="",style="solid", color="blue", weight=3]; 5318[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5318[label="",style="solid", color="blue", weight=9]; 5318 -> 2878[label="",style="solid", color="blue", weight=3]; 5319[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5319[label="",style="solid", color="blue", weight=9]; 5319 -> 2879[label="",style="solid", color="blue", weight=3]; 5320[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5320[label="",style="solid", color="blue", weight=9]; 5320 -> 2880[label="",style="solid", color="blue", weight=3]; 5321[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5321[label="",style="solid", color="blue", weight=9]; 5321 -> 2881[label="",style="solid", color="blue", weight=3]; 5322[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5322[label="",style="solid", color="blue", weight=9]; 5322 -> 2882[label="",style="solid", color="blue", weight=3]; 5323[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5323[label="",style="solid", color="blue", weight=9]; 5323 -> 2883[label="",style="solid", color="blue", weight=3]; 5324[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5324[label="",style="solid", color="blue", weight=9]; 5324 -> 2884[label="",style="solid", color="blue", weight=3]; 5325[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5325[label="",style="solid", color="blue", weight=9]; 5325 -> 2885[label="",style="solid", color="blue", weight=3]; 5326[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5326[label="",style="solid", color="blue", weight=9]; 5326 -> 2886[label="",style="solid", color="blue", weight=3]; 5327[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5327[label="",style="solid", color="blue", weight=9]; 5327 -> 2887[label="",style="solid", color="blue", weight=3]; 5328[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5328[label="",style="solid", color="blue", weight=9]; 5328 -> 2888[label="",style="solid", color="blue", weight=3]; 5329[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2356 -> 5329[label="",style="solid", color="blue", weight=9]; 5329 -> 2889[label="",style="solid", color="blue", weight=3]; 2369 -> 357[label="",style="dashed", color="red", weight=0]; 2369[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2369 -> 2902[label="",style="dashed", color="magenta", weight=3]; 2369 -> 2903[label="",style="dashed", color="magenta", weight=3]; 2370 -> 2792[label="",style="dashed", color="red", weight=0]; 2370[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2370 -> 2805[label="",style="dashed", color="magenta", weight=3]; 2370 -> 2806[label="",style="dashed", color="magenta", weight=3]; 2371[label="False || ywz188",fontsize=16,color="black",shape="box"];2371 -> 2904[label="",style="solid", color="black", weight=3]; 2372[label="True || ywz188",fontsize=16,color="black",shape="box"];2372 -> 2905[label="",style="solid", color="black", weight=3]; 2373 -> 2335[label="",style="dashed", color="red", weight=0]; 2373[label="ywz5001 < ywz4001 || ywz5001 == ywz4001 && ywz5002 <= ywz4002",fontsize=16,color="magenta"];2373 -> 2906[label="",style="dashed", color="magenta", weight=3]; 2373 -> 2907[label="",style="dashed", color="magenta", weight=3]; 2374[label="ywz5000 == ywz4000",fontsize=16,color="blue",shape="box"];5330[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5330[label="",style="solid", color="blue", weight=9]; 5330 -> 2908[label="",style="solid", color="blue", weight=3]; 5331[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5331[label="",style="solid", color="blue", weight=9]; 5331 -> 2909[label="",style="solid", color="blue", weight=3]; 5332[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5332[label="",style="solid", color="blue", weight=9]; 5332 -> 2910[label="",style="solid", color="blue", weight=3]; 5333[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5333[label="",style="solid", color="blue", weight=9]; 5333 -> 2911[label="",style="solid", color="blue", weight=3]; 5334[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5334[label="",style="solid", color="blue", weight=9]; 5334 -> 2912[label="",style="solid", color="blue", weight=3]; 5335[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5335[label="",style="solid", color="blue", weight=9]; 5335 -> 2913[label="",style="solid", color="blue", weight=3]; 5336[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5336[label="",style="solid", color="blue", weight=9]; 5336 -> 2914[label="",style="solid", color="blue", weight=3]; 5337[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5337[label="",style="solid", color="blue", weight=9]; 5337 -> 2915[label="",style="solid", color="blue", weight=3]; 5338[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5338[label="",style="solid", color="blue", weight=9]; 5338 -> 2916[label="",style="solid", color="blue", weight=3]; 5339[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5339[label="",style="solid", color="blue", weight=9]; 5339 -> 2917[label="",style="solid", color="blue", weight=3]; 5340[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5340[label="",style="solid", color="blue", weight=9]; 5340 -> 2918[label="",style="solid", color="blue", weight=3]; 5341[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5341[label="",style="solid", color="blue", weight=9]; 5341 -> 2919[label="",style="solid", color="blue", weight=3]; 5342[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5342[label="",style="solid", color="blue", weight=9]; 5342 -> 2920[label="",style="solid", color="blue", weight=3]; 5343[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2374 -> 5343[label="",style="solid", color="blue", weight=9]; 5343 -> 2921[label="",style="solid", color="blue", weight=3]; 2375 -> 2357[label="",style="dashed", color="red", weight=0]; 2375[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2375 -> 2922[label="",style="dashed", color="magenta", weight=3]; 2375 -> 2923[label="",style="dashed", color="magenta", weight=3]; 2376 -> 2358[label="",style="dashed", color="red", weight=0]; 2376[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2376 -> 2924[label="",style="dashed", color="magenta", weight=3]; 2376 -> 2925[label="",style="dashed", color="magenta", weight=3]; 2377 -> 2359[label="",style="dashed", color="red", weight=0]; 2377[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2377 -> 2926[label="",style="dashed", color="magenta", weight=3]; 2377 -> 2927[label="",style="dashed", color="magenta", weight=3]; 2378 -> 2360[label="",style="dashed", color="red", weight=0]; 2378[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2378 -> 2928[label="",style="dashed", color="magenta", weight=3]; 2378 -> 2929[label="",style="dashed", color="magenta", weight=3]; 2379 -> 2361[label="",style="dashed", color="red", weight=0]; 2379[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2379 -> 2930[label="",style="dashed", color="magenta", weight=3]; 2379 -> 2931[label="",style="dashed", color="magenta", weight=3]; 2380 -> 2362[label="",style="dashed", color="red", weight=0]; 2380[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2380 -> 2932[label="",style="dashed", color="magenta", weight=3]; 2380 -> 2933[label="",style="dashed", color="magenta", weight=3]; 2381 -> 2363[label="",style="dashed", color="red", weight=0]; 2381[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2381 -> 2934[label="",style="dashed", color="magenta", weight=3]; 2381 -> 2935[label="",style="dashed", color="magenta", weight=3]; 2382 -> 2364[label="",style="dashed", color="red", weight=0]; 2382[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2382 -> 2936[label="",style="dashed", color="magenta", weight=3]; 2382 -> 2937[label="",style="dashed", color="magenta", weight=3]; 2383 -> 2365[label="",style="dashed", color="red", weight=0]; 2383[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2383 -> 2938[label="",style="dashed", color="magenta", weight=3]; 2383 -> 2939[label="",style="dashed", color="magenta", weight=3]; 2384 -> 2366[label="",style="dashed", color="red", weight=0]; 2384[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2384 -> 2940[label="",style="dashed", color="magenta", weight=3]; 2384 -> 2941[label="",style="dashed", color="magenta", weight=3]; 2385 -> 2367[label="",style="dashed", color="red", weight=0]; 2385[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2385 -> 2942[label="",style="dashed", color="magenta", weight=3]; 2385 -> 2943[label="",style="dashed", color="magenta", weight=3]; 2386 -> 2368[label="",style="dashed", color="red", weight=0]; 2386[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2386 -> 2944[label="",style="dashed", color="magenta", weight=3]; 2386 -> 2945[label="",style="dashed", color="magenta", weight=3]; 2387 -> 357[label="",style="dashed", color="red", weight=0]; 2387[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2387 -> 2946[label="",style="dashed", color="magenta", weight=3]; 2387 -> 2947[label="",style="dashed", color="magenta", weight=3]; 2388 -> 2792[label="",style="dashed", color="red", weight=0]; 2388[label="ywz5000 < ywz4000",fontsize=16,color="magenta"];2388 -> 2807[label="",style="dashed", color="magenta", weight=3]; 2388 -> 2808[label="",style="dashed", color="magenta", weight=3]; 2389[label="ywz4000",fontsize=16,color="green",shape="box"];2390[label="ywz5000",fontsize=16,color="green",shape="box"];2391[label="ywz4000",fontsize=16,color="green",shape="box"];2392[label="ywz5000",fontsize=16,color="green",shape="box"];2393[label="ywz4000",fontsize=16,color="green",shape="box"];2394[label="ywz5000",fontsize=16,color="green",shape="box"];2395[label="ywz4000",fontsize=16,color="green",shape="box"];2396[label="ywz5000",fontsize=16,color="green",shape="box"];2397[label="ywz4000",fontsize=16,color="green",shape="box"];2398[label="ywz5000",fontsize=16,color="green",shape="box"];2399[label="ywz4000",fontsize=16,color="green",shape="box"];2400[label="ywz5000",fontsize=16,color="green",shape="box"];2401[label="ywz4000",fontsize=16,color="green",shape="box"];2402[label="ywz5000",fontsize=16,color="green",shape="box"];2403[label="ywz4000",fontsize=16,color="green",shape="box"];2404[label="ywz5000",fontsize=16,color="green",shape="box"];2405[label="ywz4000",fontsize=16,color="green",shape="box"];2406[label="ywz5000",fontsize=16,color="green",shape="box"];2407[label="ywz4000",fontsize=16,color="green",shape="box"];2408[label="ywz5000",fontsize=16,color="green",shape="box"];2409[label="ywz4000",fontsize=16,color="green",shape="box"];2410[label="ywz5000",fontsize=16,color="green",shape="box"];2411[label="ywz4000",fontsize=16,color="green",shape="box"];2412[label="ywz5000",fontsize=16,color="green",shape="box"];2413[label="ywz4000",fontsize=16,color="green",shape="box"];2414[label="ywz5000",fontsize=16,color="green",shape="box"];2415[label="ywz4000",fontsize=16,color="green",shape="box"];2416[label="ywz5000",fontsize=16,color="green",shape="box"];2417[label="ywz4000",fontsize=16,color="green",shape="box"];2418[label="ywz5000",fontsize=16,color="green",shape="box"];2419[label="ywz4000",fontsize=16,color="green",shape="box"];2420[label="ywz5000",fontsize=16,color="green",shape="box"];2421[label="ywz4000",fontsize=16,color="green",shape="box"];2422[label="ywz5000",fontsize=16,color="green",shape="box"];2423[label="ywz4000",fontsize=16,color="green",shape="box"];2424[label="ywz5000",fontsize=16,color="green",shape="box"];2425[label="ywz4000",fontsize=16,color="green",shape="box"];2426[label="ywz5000",fontsize=16,color="green",shape="box"];2427[label="ywz4000",fontsize=16,color="green",shape="box"];2428[label="ywz5000",fontsize=16,color="green",shape="box"];2429[label="ywz4000",fontsize=16,color="green",shape="box"];2430[label="ywz5000",fontsize=16,color="green",shape="box"];2431[label="ywz4000",fontsize=16,color="green",shape="box"];2432[label="ywz5000",fontsize=16,color="green",shape="box"];2433[label="ywz4000",fontsize=16,color="green",shape="box"];2434[label="ywz5000",fontsize=16,color="green",shape="box"];2435[label="ywz4000",fontsize=16,color="green",shape="box"];2436[label="ywz5000",fontsize=16,color="green",shape="box"];2437[label="ywz4000",fontsize=16,color="green",shape="box"];2438[label="ywz5000",fontsize=16,color="green",shape="box"];2439[label="ywz4000",fontsize=16,color="green",shape="box"];2440[label="ywz5000",fontsize=16,color="green",shape="box"];2441[label="ywz4000",fontsize=16,color="green",shape="box"];2442[label="ywz5000",fontsize=16,color="green",shape="box"];2443[label="ywz4000",fontsize=16,color="green",shape="box"];2444[label="ywz5000",fontsize=16,color="green",shape="box"];2449[label="ywz4000",fontsize=16,color="green",shape="box"];2450[label="ywz5000",fontsize=16,color="green",shape="box"];2451[label="ywz4000",fontsize=16,color="green",shape="box"];2452[label="ywz5000",fontsize=16,color="green",shape="box"];2453[label="ywz4000",fontsize=16,color="green",shape="box"];2454[label="ywz5000",fontsize=16,color="green",shape="box"];2455[label="ywz4000",fontsize=16,color="green",shape="box"];2456[label="ywz5000",fontsize=16,color="green",shape="box"];2457[label="ywz4000",fontsize=16,color="green",shape="box"];2458[label="ywz5000",fontsize=16,color="green",shape="box"];2459[label="ywz4000",fontsize=16,color="green",shape="box"];2460[label="ywz5000",fontsize=16,color="green",shape="box"];2461[label="ywz4000",fontsize=16,color="green",shape="box"];2462[label="ywz5000",fontsize=16,color="green",shape="box"];2463[label="ywz4000",fontsize=16,color="green",shape="box"];2464[label="ywz5000",fontsize=16,color="green",shape="box"];2465[label="ywz4000",fontsize=16,color="green",shape="box"];2466[label="ywz5000",fontsize=16,color="green",shape="box"];2467[label="ywz4000",fontsize=16,color="green",shape="box"];2468[label="ywz5000",fontsize=16,color="green",shape="box"];2469[label="ywz4000",fontsize=16,color="green",shape="box"];2470[label="ywz5000",fontsize=16,color="green",shape="box"];2471[label="ywz4000",fontsize=16,color="green",shape="box"];2472[label="ywz5000",fontsize=16,color="green",shape="box"];2473[label="ywz4000",fontsize=16,color="green",shape="box"];2474[label="ywz5000",fontsize=16,color="green",shape="box"];2475[label="ywz4000",fontsize=16,color="green",shape="box"];2476[label="ywz5000",fontsize=16,color="green",shape="box"];2151[label="FiniteMap.Branch (Just ywz400) ywz41 (Pos (Succ Zero)) FiniteMap.emptyFM FiniteMap.emptyFM",fontsize=16,color="green",shape="box"];2151 -> 2323[label="",style="dashed", color="green", weight=3]; 2151 -> 2324[label="",style="dashed", color="green", weight=3]; 3237[label="ywz441",fontsize=16,color="green",shape="box"];3238[label="ywz41",fontsize=16,color="green",shape="box"];3239[label="ywz443",fontsize=16,color="green",shape="box"];3240 -> 357[label="",style="dashed", color="red", weight=0]; 3240[label="Just ywz400 < ywz440",fontsize=16,color="magenta"];3240 -> 3447[label="",style="dashed", color="magenta", weight=3]; 3240 -> 3448[label="",style="dashed", color="magenta", weight=3]; 3241[label="Just ywz400",fontsize=16,color="green",shape="box"];3242[label="ywz440",fontsize=16,color="green",shape="box"];3243[label="ywz444",fontsize=16,color="green",shape="box"];3244[label="ywz442",fontsize=16,color="green",shape="box"];3038[label="ywz721",fontsize=16,color="green",shape="box"];3039[label="ywz442",fontsize=16,color="green",shape="box"];3040[label="ywz443",fontsize=16,color="green",shape="box"];3041[label="ywz440",fontsize=16,color="green",shape="box"];3042[label="ywz723",fontsize=16,color="green",shape="box"];3043[label="ywz441",fontsize=16,color="green",shape="box"];3044[label="ywz720",fontsize=16,color="green",shape="box"];3045[label="ywz724",fontsize=16,color="green",shape="box"];3046[label="ywz722",fontsize=16,color="green",shape="box"];3047[label="ywz444",fontsize=16,color="green",shape="box"];4609 -> 1373[label="",style="dashed", color="red", weight=0]; 4609[label="primMulInt ywz40000 ywz50010",fontsize=16,color="magenta"];4609 -> 4624[label="",style="dashed", color="magenta", weight=3]; 4609 -> 4625[label="",style="dashed", color="magenta", weight=3]; 4640[label="GT",fontsize=16,color="green",shape="box"];4641[label="GT",fontsize=16,color="green",shape="box"];4642[label="GT",fontsize=16,color="green",shape="box"];4643[label="GT",fontsize=16,color="green",shape="box"];4644[label="GT",fontsize=16,color="green",shape="box"];3764 -> 3109[label="",style="dashed", color="red", weight=0]; 3764[label="FiniteMap.sizeFM ywz1793",fontsize=16,color="magenta"];3764 -> 3777[label="",style="dashed", color="magenta", weight=3]; 3765[label="Pos (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];3766[label="ywz1794",fontsize=16,color="green",shape="box"];3767[label="FiniteMap.mkBalBranch6MkBalBranch10 ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444 ywz1790 ywz1791 ywz1792 ywz1793 ywz1794 otherwise",fontsize=16,color="black",shape="box"];3767 -> 3778[label="",style="solid", color="black", weight=3]; 3768[label="FiniteMap.mkBalBranch6Single_R ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 ywz1794) ywz444",fontsize=16,color="black",shape="box"];3768 -> 3779[label="",style="solid", color="black", weight=3]; 3771[label="FiniteMap.mkBalBranch6Double_L ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 FiniteMap.EmptyFM ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 FiniteMap.EmptyFM ywz4444)",fontsize=16,color="black",shape="box"];3771 -> 3784[label="",style="solid", color="black", weight=3]; 3772[label="FiniteMap.mkBalBranch6Double_L ywz440 ywz441 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 (FiniteMap.Branch ywz44430 ywz44431 ywz44432 ywz44433 ywz44434) ywz4444) ywz179 ywz179 (FiniteMap.Branch ywz4440 ywz4441 ywz4442 (FiniteMap.Branch ywz44430 ywz44431 ywz44432 ywz44433 ywz44434) ywz4444)",fontsize=16,color="black",shape="box"];3772 -> 3785[label="",style="solid", color="black", weight=3]; 4338[label="ywz179",fontsize=16,color="green",shape="box"];4339[label="ywz4443",fontsize=16,color="green",shape="box"];4340[label="ywz441",fontsize=16,color="green",shape="box"];4341[label="Succ (Succ (Succ Zero))",fontsize=16,color="green",shape="box"];4342[label="ywz440",fontsize=16,color="green",shape="box"];2319 -> 69[label="",style="dashed", color="red", weight=0]; 2319[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];2320 -> 69[label="",style="dashed", color="red", weight=0]; 2320[label="FiniteMap.emptyFM",fontsize=16,color="magenta"];3445[label="ywz440",fontsize=16,color="green",shape="box"];3446[label="Nothing",fontsize=16,color="green",shape="box"];2862 -> 1344[label="",style="dashed", color="red", weight=0]; 2862[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2862 -> 3467[label="",style="dashed", color="magenta", weight=3]; 2862 -> 3468[label="",style="dashed", color="magenta", weight=3]; 2863 -> 1345[label="",style="dashed", color="red", weight=0]; 2863[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2863 -> 3469[label="",style="dashed", color="magenta", weight=3]; 2863 -> 3470[label="",style="dashed", color="magenta", weight=3]; 2864 -> 1346[label="",style="dashed", color="red", weight=0]; 2864[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2864 -> 3471[label="",style="dashed", color="magenta", weight=3]; 2864 -> 3472[label="",style="dashed", color="magenta", weight=3]; 2865 -> 1347[label="",style="dashed", color="red", weight=0]; 2865[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2865 -> 3473[label="",style="dashed", color="magenta", weight=3]; 2865 -> 3474[label="",style="dashed", color="magenta", weight=3]; 2866 -> 1348[label="",style="dashed", color="red", weight=0]; 2866[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2866 -> 3475[label="",style="dashed", color="magenta", weight=3]; 2866 -> 3476[label="",style="dashed", color="magenta", weight=3]; 2867 -> 1349[label="",style="dashed", color="red", weight=0]; 2867[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2867 -> 3477[label="",style="dashed", color="magenta", weight=3]; 2867 -> 3478[label="",style="dashed", color="magenta", weight=3]; 2868 -> 1350[label="",style="dashed", color="red", weight=0]; 2868[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2868 -> 3479[label="",style="dashed", color="magenta", weight=3]; 2868 -> 3480[label="",style="dashed", color="magenta", weight=3]; 2869 -> 1351[label="",style="dashed", color="red", weight=0]; 2869[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2869 -> 3481[label="",style="dashed", color="magenta", weight=3]; 2869 -> 3482[label="",style="dashed", color="magenta", weight=3]; 2870 -> 1352[label="",style="dashed", color="red", weight=0]; 2870[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2870 -> 3483[label="",style="dashed", color="magenta", weight=3]; 2870 -> 3484[label="",style="dashed", color="magenta", weight=3]; 2871 -> 1353[label="",style="dashed", color="red", weight=0]; 2871[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2871 -> 3485[label="",style="dashed", color="magenta", weight=3]; 2871 -> 3486[label="",style="dashed", color="magenta", weight=3]; 2872 -> 1354[label="",style="dashed", color="red", weight=0]; 2872[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2872 -> 3487[label="",style="dashed", color="magenta", weight=3]; 2872 -> 3488[label="",style="dashed", color="magenta", weight=3]; 2873 -> 1355[label="",style="dashed", color="red", weight=0]; 2873[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2873 -> 3489[label="",style="dashed", color="magenta", weight=3]; 2873 -> 3490[label="",style="dashed", color="magenta", weight=3]; 2874 -> 1356[label="",style="dashed", color="red", weight=0]; 2874[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2874 -> 3491[label="",style="dashed", color="magenta", weight=3]; 2874 -> 3492[label="",style="dashed", color="magenta", weight=3]; 2875 -> 1357[label="",style="dashed", color="red", weight=0]; 2875[label="ywz5001 <= ywz4001",fontsize=16,color="magenta"];2875 -> 3493[label="",style="dashed", color="magenta", weight=3]; 2875 -> 3494[label="",style="dashed", color="magenta", weight=3]; 2876 -> 849[label="",style="dashed", color="red", weight=0]; 2876[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2876 -> 3495[label="",style="dashed", color="magenta", weight=3]; 2876 -> 3496[label="",style="dashed", color="magenta", weight=3]; 2877 -> 850[label="",style="dashed", color="red", weight=0]; 2877[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2877 -> 3497[label="",style="dashed", color="magenta", weight=3]; 2877 -> 3498[label="",style="dashed", color="magenta", weight=3]; 2878 -> 851[label="",style="dashed", color="red", weight=0]; 2878[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2878 -> 3499[label="",style="dashed", color="magenta", weight=3]; 2878 -> 3500[label="",style="dashed", color="magenta", weight=3]; 2879 -> 852[label="",style="dashed", color="red", weight=0]; 2879[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2879 -> 3501[label="",style="dashed", color="magenta", weight=3]; 2879 -> 3502[label="",style="dashed", color="magenta", weight=3]; 2880 -> 853[label="",style="dashed", color="red", weight=0]; 2880[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2880 -> 3503[label="",style="dashed", color="magenta", weight=3]; 2880 -> 3504[label="",style="dashed", color="magenta", weight=3]; 2881 -> 120[label="",style="dashed", color="red", weight=0]; 2881[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2881 -> 3505[label="",style="dashed", color="magenta", weight=3]; 2881 -> 3506[label="",style="dashed", color="magenta", weight=3]; 2882 -> 855[label="",style="dashed", color="red", weight=0]; 2882[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2882 -> 3507[label="",style="dashed", color="magenta", weight=3]; 2882 -> 3508[label="",style="dashed", color="magenta", weight=3]; 2883 -> 856[label="",style="dashed", color="red", weight=0]; 2883[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2883 -> 3509[label="",style="dashed", color="magenta", weight=3]; 2883 -> 3510[label="",style="dashed", color="magenta", weight=3]; 2884 -> 857[label="",style="dashed", color="red", weight=0]; 2884[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2884 -> 3511[label="",style="dashed", color="magenta", weight=3]; 2884 -> 3512[label="",style="dashed", color="magenta", weight=3]; 2885 -> 858[label="",style="dashed", color="red", weight=0]; 2885[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2885 -> 3513[label="",style="dashed", color="magenta", weight=3]; 2885 -> 3514[label="",style="dashed", color="magenta", weight=3]; 2886 -> 859[label="",style="dashed", color="red", weight=0]; 2886[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2886 -> 3515[label="",style="dashed", color="magenta", weight=3]; 2886 -> 3516[label="",style="dashed", color="magenta", weight=3]; 2887 -> 860[label="",style="dashed", color="red", weight=0]; 2887[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2887 -> 3517[label="",style="dashed", color="magenta", weight=3]; 2887 -> 3518[label="",style="dashed", color="magenta", weight=3]; 2888 -> 861[label="",style="dashed", color="red", weight=0]; 2888[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2888 -> 3519[label="",style="dashed", color="magenta", weight=3]; 2888 -> 3520[label="",style="dashed", color="magenta", weight=3]; 2889 -> 862[label="",style="dashed", color="red", weight=0]; 2889[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2889 -> 3521[label="",style="dashed", color="magenta", weight=3]; 2889 -> 3522[label="",style="dashed", color="magenta", weight=3]; 2902[label="ywz4000",fontsize=16,color="green",shape="box"];2903[label="ywz5000",fontsize=16,color="green",shape="box"];2805[label="ywz4000",fontsize=16,color="green",shape="box"];2806[label="ywz5000",fontsize=16,color="green",shape="box"];2904[label="ywz188",fontsize=16,color="green",shape="box"];2905[label="True",fontsize=16,color="green",shape="box"];2906 -> 1101[label="",style="dashed", color="red", weight=0]; 2906[label="ywz5001 == ywz4001 && ywz5002 <= ywz4002",fontsize=16,color="magenta"];2906 -> 3547[label="",style="dashed", color="magenta", weight=3]; 2906 -> 3548[label="",style="dashed", color="magenta", weight=3]; 2907[label="ywz5001 < ywz4001",fontsize=16,color="blue",shape="box"];5344[label="< :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5344[label="",style="solid", color="blue", weight=9]; 5344 -> 3549[label="",style="solid", color="blue", weight=3]; 5345[label="< :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5345[label="",style="solid", color="blue", weight=9]; 5345 -> 3550[label="",style="solid", color="blue", weight=3]; 5346[label="< :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5346[label="",style="solid", color="blue", weight=9]; 5346 -> 3551[label="",style="solid", color="blue", weight=3]; 5347[label="< :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5347[label="",style="solid", color="blue", weight=9]; 5347 -> 3552[label="",style="solid", color="blue", weight=3]; 5348[label="< :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5348[label="",style="solid", color="blue", weight=9]; 5348 -> 3553[label="",style="solid", color="blue", weight=3]; 5349[label="< :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5349[label="",style="solid", color="blue", weight=9]; 5349 -> 3554[label="",style="solid", color="blue", weight=3]; 5350[label="< :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5350[label="",style="solid", color="blue", weight=9]; 5350 -> 3555[label="",style="solid", color="blue", weight=3]; 5351[label="< :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5351[label="",style="solid", color="blue", weight=9]; 5351 -> 3556[label="",style="solid", color="blue", weight=3]; 5352[label="< :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5352[label="",style="solid", color="blue", weight=9]; 5352 -> 3557[label="",style="solid", color="blue", weight=3]; 5353[label="< :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5353[label="",style="solid", color="blue", weight=9]; 5353 -> 3558[label="",style="solid", color="blue", weight=3]; 5354[label="< :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5354[label="",style="solid", color="blue", weight=9]; 5354 -> 3559[label="",style="solid", color="blue", weight=3]; 5355[label="< :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5355[label="",style="solid", color="blue", weight=9]; 5355 -> 3560[label="",style="solid", color="blue", weight=3]; 5356[label="< :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5356[label="",style="solid", color="blue", weight=9]; 5356 -> 3561[label="",style="solid", color="blue", weight=3]; 5357[label="< :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];2907 -> 5357[label="",style="solid", color="blue", weight=9]; 5357 -> 3562[label="",style="solid", color="blue", weight=3]; 2908 -> 849[label="",style="dashed", color="red", weight=0]; 2908[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2908 -> 3563[label="",style="dashed", color="magenta", weight=3]; 2908 -> 3564[label="",style="dashed", color="magenta", weight=3]; 2909 -> 850[label="",style="dashed", color="red", weight=0]; 2909[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2909 -> 3565[label="",style="dashed", color="magenta", weight=3]; 2909 -> 3566[label="",style="dashed", color="magenta", weight=3]; 2910 -> 851[label="",style="dashed", color="red", weight=0]; 2910[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2910 -> 3567[label="",style="dashed", color="magenta", weight=3]; 2910 -> 3568[label="",style="dashed", color="magenta", weight=3]; 2911 -> 852[label="",style="dashed", color="red", weight=0]; 2911[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2911 -> 3569[label="",style="dashed", color="magenta", weight=3]; 2911 -> 3570[label="",style="dashed", color="magenta", weight=3]; 2912 -> 853[label="",style="dashed", color="red", weight=0]; 2912[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2912 -> 3571[label="",style="dashed", color="magenta", weight=3]; 2912 -> 3572[label="",style="dashed", color="magenta", weight=3]; 2913 -> 120[label="",style="dashed", color="red", weight=0]; 2913[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2913 -> 3573[label="",style="dashed", color="magenta", weight=3]; 2913 -> 3574[label="",style="dashed", color="magenta", weight=3]; 2914 -> 855[label="",style="dashed", color="red", weight=0]; 2914[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2914 -> 3575[label="",style="dashed", color="magenta", weight=3]; 2914 -> 3576[label="",style="dashed", color="magenta", weight=3]; 2915 -> 856[label="",style="dashed", color="red", weight=0]; 2915[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2915 -> 3577[label="",style="dashed", color="magenta", weight=3]; 2915 -> 3578[label="",style="dashed", color="magenta", weight=3]; 2916 -> 857[label="",style="dashed", color="red", weight=0]; 2916[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2916 -> 3579[label="",style="dashed", color="magenta", weight=3]; 2916 -> 3580[label="",style="dashed", color="magenta", weight=3]; 2917 -> 858[label="",style="dashed", color="red", weight=0]; 2917[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2917 -> 3581[label="",style="dashed", color="magenta", weight=3]; 2917 -> 3582[label="",style="dashed", color="magenta", weight=3]; 2918 -> 859[label="",style="dashed", color="red", weight=0]; 2918[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2918 -> 3583[label="",style="dashed", color="magenta", weight=3]; 2918 -> 3584[label="",style="dashed", color="magenta", weight=3]; 2919 -> 860[label="",style="dashed", color="red", weight=0]; 2919[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2919 -> 3585[label="",style="dashed", color="magenta", weight=3]; 2919 -> 3586[label="",style="dashed", color="magenta", weight=3]; 2920 -> 861[label="",style="dashed", color="red", weight=0]; 2920[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2920 -> 3587[label="",style="dashed", color="magenta", weight=3]; 2920 -> 3588[label="",style="dashed", color="magenta", weight=3]; 2921 -> 862[label="",style="dashed", color="red", weight=0]; 2921[label="ywz5000 == ywz4000",fontsize=16,color="magenta"];2921 -> 3589[label="",style="dashed", color="magenta", weight=3]; 2921 -> 3590[label="",style="dashed", color="magenta", weight=3]; 2922[label="ywz5000",fontsize=16,color="green",shape="box"];2923[label="ywz4000",fontsize=16,color="green",shape="box"];2924[label="ywz5000",fontsize=16,color="green",shape="box"];2925[label="ywz4000",fontsize=16,color="green",shape="box"];2926[label="ywz5000",fontsize=16,color="green",shape="box"];2927[label="ywz4000",fontsize=16,color="green",shape="box"];2928[label="ywz5000",fontsize=16,color="green",shape="box"];2929[label="ywz4000",fontsize=16,color="green",shape="box"];2930[label="ywz5000",fontsize=16,color="green",shape="box"];2931[label="ywz4000",fontsize=16,color="green",shape="box"];2932[label="ywz5000",fontsize=16,color="green",shape="box"];2933[label="ywz4000",fontsize=16,color="green",shape="box"];2934[label="ywz5000",fontsize=16,color="green",shape="box"];2935[label="ywz4000",fontsize=16,color="green",shape="box"];2936[label="ywz5000",fontsize=16,color="green",shape="box"];2937[label="ywz4000",fontsize=16,color="green",shape="box"];2938[label="ywz5000",fontsize=16,color="green",shape="box"];2939[label="ywz4000",fontsize=16,color="green",shape="box"];2940[label="ywz5000",fontsize=16,color="green",shape="box"];2941[label="ywz4000",fontsize=16,color="green",shape="box"];2942[label="ywz5000",fontsize=16,color="green",shape="box"];2943[label="ywz4000",fontsize=16,color="green",shape="box"];2944[label="ywz5000",fontsize=16,color="green",shape="box"];2945[label="ywz4000",fontsize=16,color="green",shape="box"];2946[label="ywz4000",fontsize=16,color="green",shape="box"];2947[label="ywz5000",fontsize=16,color="green",shape="box"];2807[label="ywz4000",fontsize=16,color="green",shape="box"];2808[label="ywz5000",fontsize=16,color="green",shape="box"];2323 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color="magenta", weight=3]; 4277 -> 4352[label="",style="dashed", color="magenta", weight=3]; 4278 -> 4241[label="",style="dashed", color="red", weight=0]; 4278[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))) ywz4440 ywz4441 ywz44434 ywz4444",fontsize=16,color="magenta"];4278 -> 4353[label="",style="dashed", color="magenta", weight=3]; 4278 -> 4354[label="",style="dashed", color="magenta", weight=3]; 4278 -> 4355[label="",style="dashed", color="magenta", weight=3]; 4278 -> 4356[label="",style="dashed", color="magenta", weight=3]; 4278 -> 4357[label="",style="dashed", color="magenta", weight=3]; 4279[label="ywz44431",fontsize=16,color="green",shape="box"];4280[label="Succ (Succ (Succ (Succ Zero)))",fontsize=16,color="green",shape="box"];4281[label="ywz44430",fontsize=16,color="green",shape="box"];3661 -> 1344[label="",style="dashed", color="red", weight=0]; 3661[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3661 -> 3878[label="",style="dashed", color="magenta", weight=3]; 3661 -> 3879[label="",style="dashed", color="magenta", weight=3]; 3662 -> 1345[label="",style="dashed", color="red", weight=0]; 3662[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3662 -> 3880[label="",style="dashed", color="magenta", weight=3]; 3662 -> 3881[label="",style="dashed", color="magenta", weight=3]; 3663 -> 1346[label="",style="dashed", color="red", weight=0]; 3663[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3663 -> 3882[label="",style="dashed", color="magenta", weight=3]; 3663 -> 3883[label="",style="dashed", color="magenta", weight=3]; 3664 -> 1347[label="",style="dashed", color="red", weight=0]; 3664[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3664 -> 3884[label="",style="dashed", color="magenta", weight=3]; 3664 -> 3885[label="",style="dashed", color="magenta", weight=3]; 3665 -> 1348[label="",style="dashed", color="red", weight=0]; 3665[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3665 -> 3886[label="",style="dashed", color="magenta", weight=3]; 3665 -> 3887[label="",style="dashed", color="magenta", weight=3]; 3666 -> 1349[label="",style="dashed", color="red", weight=0]; 3666[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3666 -> 3888[label="",style="dashed", color="magenta", weight=3]; 3666 -> 3889[label="",style="dashed", color="magenta", weight=3]; 3667 -> 1350[label="",style="dashed", color="red", weight=0]; 3667[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3667 -> 3890[label="",style="dashed", color="magenta", weight=3]; 3667 -> 3891[label="",style="dashed", color="magenta", weight=3]; 3668 -> 1351[label="",style="dashed", color="red", weight=0]; 3668[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3668 -> 3892[label="",style="dashed", color="magenta", weight=3]; 3668 -> 3893[label="",style="dashed", color="magenta", weight=3]; 3669 -> 1352[label="",style="dashed", color="red", weight=0]; 3669[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3669 -> 3894[label="",style="dashed", color="magenta", weight=3]; 3669 -> 3895[label="",style="dashed", color="magenta", weight=3]; 3670 -> 1353[label="",style="dashed", color="red", weight=0]; 3670[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3670 -> 3896[label="",style="dashed", color="magenta", weight=3]; 3670 -> 3897[label="",style="dashed", color="magenta", weight=3]; 3671 -> 1354[label="",style="dashed", color="red", weight=0]; 3671[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3671 -> 3898[label="",style="dashed", color="magenta", weight=3]; 3671 -> 3899[label="",style="dashed", color="magenta", weight=3]; 3672 -> 1355[label="",style="dashed", color="red", weight=0]; 3672[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3672 -> 3900[label="",style="dashed", color="magenta", weight=3]; 3672 -> 3901[label="",style="dashed", color="magenta", weight=3]; 3673 -> 1356[label="",style="dashed", color="red", weight=0]; 3673[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3673 -> 3902[label="",style="dashed", color="magenta", weight=3]; 3673 -> 3903[label="",style="dashed", color="magenta", weight=3]; 3674 -> 1357[label="",style="dashed", color="red", weight=0]; 3674[label="ywz5002 <= ywz4002",fontsize=16,color="magenta"];3674 -> 3904[label="",style="dashed", color="magenta", weight=3]; 3674 -> 3905[label="",style="dashed", color="magenta", weight=3]; 3675 -> 849[label="",style="dashed", color="red", weight=0]; 3675[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3675 -> 3906[label="",style="dashed", color="magenta", weight=3]; 3675 -> 3907[label="",style="dashed", color="magenta", weight=3]; 3676 -> 850[label="",style="dashed", color="red", weight=0]; 3676[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3676 -> 3908[label="",style="dashed", color="magenta", weight=3]; 3676 -> 3909[label="",style="dashed", color="magenta", weight=3]; 3677 -> 851[label="",style="dashed", color="red", weight=0]; 3677[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3677 -> 3910[label="",style="dashed", color="magenta", weight=3]; 3677 -> 3911[label="",style="dashed", color="magenta", weight=3]; 3678 -> 852[label="",style="dashed", color="red", weight=0]; 3678[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3678 -> 3912[label="",style="dashed", color="magenta", weight=3]; 3678 -> 3913[label="",style="dashed", color="magenta", weight=3]; 3679 -> 853[label="",style="dashed", color="red", weight=0]; 3679[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3679 -> 3914[label="",style="dashed", color="magenta", weight=3]; 3679 -> 3915[label="",style="dashed", color="magenta", weight=3]; 3680 -> 120[label="",style="dashed", color="red", weight=0]; 3680[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3680 -> 3916[label="",style="dashed", color="magenta", weight=3]; 3680 -> 3917[label="",style="dashed", color="magenta", weight=3]; 3681 -> 855[label="",style="dashed", color="red", weight=0]; 3681[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3681 -> 3918[label="",style="dashed", color="magenta", weight=3]; 3681 -> 3919[label="",style="dashed", color="magenta", weight=3]; 3682 -> 856[label="",style="dashed", color="red", weight=0]; 3682[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3682 -> 3920[label="",style="dashed", color="magenta", weight=3]; 3682 -> 3921[label="",style="dashed", color="magenta", weight=3]; 3683 -> 857[label="",style="dashed", color="red", weight=0]; 3683[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3683 -> 3922[label="",style="dashed", color="magenta", weight=3]; 3683 -> 3923[label="",style="dashed", color="magenta", weight=3]; 3684 -> 858[label="",style="dashed", color="red", weight=0]; 3684[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3684 -> 3924[label="",style="dashed", color="magenta", weight=3]; 3684 -> 3925[label="",style="dashed", color="magenta", weight=3]; 3685 -> 859[label="",style="dashed", color="red", weight=0]; 3685[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3685 -> 3926[label="",style="dashed", color="magenta", weight=3]; 3685 -> 3927[label="",style="dashed", color="magenta", weight=3]; 3686 -> 860[label="",style="dashed", color="red", weight=0]; 3686[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3686 -> 3928[label="",style="dashed", color="magenta", weight=3]; 3686 -> 3929[label="",style="dashed", color="magenta", weight=3]; 3687 -> 861[label="",style="dashed", color="red", weight=0]; 3687[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3687 -> 3930[label="",style="dashed", color="magenta", weight=3]; 3687 -> 3931[label="",style="dashed", color="magenta", weight=3]; 3688 -> 862[label="",style="dashed", color="red", weight=0]; 3688[label="ywz5001 == ywz4001",fontsize=16,color="magenta"];3688 -> 3932[label="",style="dashed", color="magenta", weight=3]; 3688 -> 3933[label="",style="dashed", color="magenta", weight=3]; 3689[label="ywz5001",fontsize=16,color="green",shape="box"];3690[label="ywz4001",fontsize=16,color="green",shape="box"];3691[label="ywz5001",fontsize=16,color="green",shape="box"];3692[label="ywz4001",fontsize=16,color="green",shape="box"];3693[label="ywz5001",fontsize=16,color="green",shape="box"];3694[label="ywz4001",fontsize=16,color="green",shape="box"];3695[label="ywz5001",fontsize=16,color="green",shape="box"];3696[label="ywz4001",fontsize=16,color="green",shape="box"];3697[label="ywz5001",fontsize=16,color="green",shape="box"];3698[label="ywz4001",fontsize=16,color="green",shape="box"];3699[label="ywz5001",fontsize=16,color="green",shape="box"];3700[label="ywz4001",fontsize=16,color="green",shape="box"];3701[label="ywz5001",fontsize=16,color="green",shape="box"];3702[label="ywz4001",fontsize=16,color="green",shape="box"];3703[label="ywz5001",fontsize=16,color="green",shape="box"];3704[label="ywz4001",fontsize=16,color="green",shape="box"];3705[label="ywz5001",fontsize=16,color="green",shape="box"];3706[label="ywz4001",fontsize=16,color="green",shape="box"];3707[label="ywz5001",fontsize=16,color="green",shape="box"];3708[label="ywz4001",fontsize=16,color="green",shape="box"];3709[label="ywz5001",fontsize=16,color="green",shape="box"];3710[label="ywz4001",fontsize=16,color="green",shape="box"];3711[label="ywz5001",fontsize=16,color="green",shape="box"];3712[label="ywz4001",fontsize=16,color="green",shape="box"];3713[label="ywz4001",fontsize=16,color="green",shape="box"];3714[label="ywz5001",fontsize=16,color="green",shape="box"];3715[label="ywz4001",fontsize=16,color="green",shape="box"];3716[label="ywz5001",fontsize=16,color="green",shape="box"];3818[label="FiniteMap.mkBalBranch6Double_R ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 FiniteMap.EmptyFM) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 FiniteMap.EmptyFM) ywz444",fontsize=16,color="black",shape="box"];3818 -> 3956[label="",style="solid", color="black", weight=3]; 3819[label="FiniteMap.mkBalBranch6Double_R ywz440 ywz441 ywz444 (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 (FiniteMap.Branch ywz17940 ywz17941 ywz17942 ywz17943 ywz17944)) (FiniteMap.Branch ywz1790 ywz1791 ywz1792 ywz1793 (FiniteMap.Branch ywz17940 ywz17941 ywz17942 ywz17943 ywz17944)) ywz444",fontsize=16,color="black",shape="box"];3819 -> 3957[label="",style="solid", color="black", weight=3]; 4343[label="ywz1794",fontsize=16,color="green",shape="box"];4344[label="ywz444",fontsize=16,color="green",shape="box"];4345[label="ywz441",fontsize=16,color="green",shape="box"];4346[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))",fontsize=16,color="green",shape="box"];4347[label="ywz440",fontsize=16,color="green",shape="box"];4348[label="ywz179",fontsize=16,color="green",shape="box"];4349[label="ywz44433",fontsize=16,color="green",shape="box"];4350[label="ywz441",fontsize=16,color="green",shape="box"];4351[label="Succ (Succ (Succ (Succ (Succ Zero))))",fontsize=16,color="green",shape="box"];4352[label="ywz440",fontsize=16,color="green",shape="box"];4353[label="ywz44434",fontsize=16,color="green",shape="box"];4354[label="ywz4444",fontsize=16,color="green",shape="box"];4355[label="ywz4441",fontsize=16,color="green",shape="box"];4356[label="Succ (Succ (Succ (Succ (Succ (Succ Zero)))))",fontsize=16,color="green",shape="box"];4357[label="ywz4440",fontsize=16,color="green",shape="box"];3878[label="ywz4002",fontsize=16,color="green",shape="box"];3879[label="ywz5002",fontsize=16,color="green",shape="box"];3880[label="ywz4002",fontsize=16,color="green",shape="box"];3881[label="ywz5002",fontsize=16,color="green",shape="box"];3882[label="ywz4002",fontsize=16,color="green",shape="box"];3883[label="ywz5002",fontsize=16,color="green",shape="box"];3884[label="ywz4002",fontsize=16,color="green",shape="box"];3885[label="ywz5002",fontsize=16,color="green",shape="box"];3886[label="ywz4002",fontsize=16,color="green",shape="box"];3887[label="ywz5002",fontsize=16,color="green",shape="box"];3888[label="ywz4002",fontsize=16,color="green",shape="box"];3889[label="ywz5002",fontsize=16,color="green",shape="box"];3890[label="ywz4002",fontsize=16,color="green",shape="box"];3891[label="ywz5002",fontsize=16,color="green",shape="box"];3892[label="ywz4002",fontsize=16,color="green",shape="box"];3893[label="ywz5002",fontsize=16,color="green",shape="box"];3894[label="ywz4002",fontsize=16,color="green",shape="box"];3895[label="ywz5002",fontsize=16,color="green",shape="box"];3896[label="ywz4002",fontsize=16,color="green",shape="box"];3897[label="ywz5002",fontsize=16,color="green",shape="box"];3898[label="ywz4002",fontsize=16,color="green",shape="box"];3899[label="ywz5002",fontsize=16,color="green",shape="box"];3900[label="ywz4002",fontsize=16,color="green",shape="box"];3901[label="ywz5002",fontsize=16,color="green",shape="box"];3902[label="ywz4002",fontsize=16,color="green",shape="box"];3903[label="ywz5002",fontsize=16,color="green",shape="box"];3904[label="ywz4002",fontsize=16,color="green",shape="box"];3905[label="ywz5002",fontsize=16,color="green",shape="box"];3906[label="ywz4001",fontsize=16,color="green",shape="box"];3907[label="ywz5001",fontsize=16,color="green",shape="box"];3908[label="ywz4001",fontsize=16,color="green",shape="box"];3909[label="ywz5001",fontsize=16,color="green",shape="box"];3910[label="ywz4001",fontsize=16,color="green",shape="box"];3911[label="ywz5001",fontsize=16,color="green",shape="box"];3912[label="ywz4001",fontsize=16,color="green",shape="box"];3913[label="ywz5001",fontsize=16,color="green",shape="box"];3914[label="ywz4001",fontsize=16,color="green",shape="box"];3915[label="ywz5001",fontsize=16,color="green",shape="box"];3916[label="ywz4001",fontsize=16,color="green",shape="box"];3917[label="ywz5001",fontsize=16,color="green",shape="box"];3918[label="ywz4001",fontsize=16,color="green",shape="box"];3919[label="ywz5001",fontsize=16,color="green",shape="box"];3920[label="ywz4001",fontsize=16,color="green",shape="box"];3921[label="ywz5001",fontsize=16,color="green",shape="box"];3922[label="ywz4001",fontsize=16,color="green",shape="box"];3923[label="ywz5001",fontsize=16,color="green",shape="box"];3924[label="ywz4001",fontsize=16,color="green",shape="box"];3925[label="ywz5001",fontsize=16,color="green",shape="box"];3926[label="ywz4001",fontsize=16,color="green",shape="box"];3927[label="ywz5001",fontsize=16,color="green",shape="box"];3928[label="ywz4001",fontsize=16,color="green",shape="box"];3929[label="ywz5001",fontsize=16,color="green",shape="box"];3930[label="ywz4001",fontsize=16,color="green",shape="box"];3931[label="ywz5001",fontsize=16,color="green",shape="box"];3932[label="ywz4001",fontsize=16,color="green",shape="box"];3933[label="ywz5001",fontsize=16,color="green",shape="box"];3956[label="error []",fontsize=16,color="red",shape="box"];3957 -> 4241[label="",style="dashed", color="red", weight=0]; 3957[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))) ywz17940 ywz17941 (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) ywz1790 ywz1791 ywz1793 ywz17943) (FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) ywz440 ywz441 ywz17944 ywz444)",fontsize=16,color="magenta"];3957 -> 4292[label="",style="dashed", color="magenta", weight=3]; 3957 -> 4293[label="",style="dashed", color="magenta", weight=3]; 3957 -> 4294[label="",style="dashed", color="magenta", weight=3]; 3957 -> 4295[label="",style="dashed", color="magenta", weight=3]; 3957 -> 4296[label="",style="dashed", color="magenta", weight=3]; 4292 -> 4241[label="",style="dashed", color="red", weight=0]; 4292[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))))) ywz1790 ywz1791 ywz1793 ywz17943",fontsize=16,color="magenta"];4292 -> 4358[label="",style="dashed", color="magenta", weight=3]; 4292 -> 4359[label="",style="dashed", color="magenta", weight=3]; 4292 -> 4360[label="",style="dashed", color="magenta", weight=3]; 4292 -> 4361[label="",style="dashed", color="magenta", weight=3]; 4292 -> 4362[label="",style="dashed", color="magenta", weight=3]; 4293 -> 4241[label="",style="dashed", color="red", weight=0]; 4293[label="FiniteMap.mkBranch (Pos (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))))) ywz440 ywz441 ywz17944 ywz444",fontsize=16,color="magenta"];4293 -> 4363[label="",style="dashed", color="magenta", weight=3]; 4293 -> 4364[label="",style="dashed", color="magenta", weight=3]; 4293 -> 4365[label="",style="dashed", color="magenta", weight=3]; 4293 -> 4366[label="",style="dashed", color="magenta", weight=3]; 4293 -> 4367[label="",style="dashed", color="magenta", weight=3]; 4294[label="ywz17941",fontsize=16,color="green",shape="box"];4295[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))",fontsize=16,color="green",shape="box"];4296[label="ywz17940",fontsize=16,color="green",shape="box"];4358[label="ywz1793",fontsize=16,color="green",shape="box"];4359[label="ywz17943",fontsize=16,color="green",shape="box"];4360[label="ywz1791",fontsize=16,color="green",shape="box"];4361[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero)))))))))",fontsize=16,color="green",shape="box"];4362[label="ywz1790",fontsize=16,color="green",shape="box"];4363[label="ywz17944",fontsize=16,color="green",shape="box"];4364[label="ywz444",fontsize=16,color="green",shape="box"];4365[label="ywz441",fontsize=16,color="green",shape="box"];4366[label="Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ (Succ Zero))))))))))",fontsize=16,color="green",shape="box"];4367[label="ywz440",fontsize=16,color="green",shape="box"];} ---------------------------------------- (16) Complex Obligation (AND) ---------------------------------------- (17) Obligation: Q DP problem: The TRS P consists of the following rules: new_primCmpNat(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat(ywz500000, ywz400000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (18) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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(ywz500000), Succ(ywz400000)) -> new_primCmpNat(ywz500000, ywz400000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (19) YES ---------------------------------------- (20) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) new_splitLT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), LT), h, ba) new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Just(ywz400), h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare31(Just(ywz38), Just(ywz33), bb), GT), bb, bc) new_splitLT20(ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, ywz500, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT1(ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Nothing, h), GT), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), LT), h, ba) new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) new_splitLT2(ywz400, ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (21) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (22) Complex Obligation (AND) ---------------------------------------- (23) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT1(ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Nothing, h), GT), h, ba) new_splitLT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) new_splitLT(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), LT), h, ba) new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Just(ywz400), h), GT), h, ba) new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) new_splitLT2(ywz400, ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (24) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_splitLT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) The graph contains the following edges 4 >= 1, 6 >= 2, 7 >= 3 *new_splitLT(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 >= 7, 3 >= 8 *new_splitLT2(ywz400, ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 7 >= 7, 8 >= 8 *new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT1(ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Nothing, h), GT), h, ba) The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3, 5 >= 4, 7 >= 6, 8 >= 7 *new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), LT), h, ba) The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 7 >= 7, 8 >= 8 *new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT(ywz44, h, ba) The graph contains the following edges 5 >= 1, 7 >= 2, 8 >= 3 *new_splitLT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitLT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Just(ywz400), h), GT), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 7 >= 7, 8 >= 8 ---------------------------------------- (25) YES ---------------------------------------- (26) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare31(Just(ywz38), Just(ywz33), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), LT), h, ba) new_splitLT20(ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, ywz500, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (27) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare31(Just(ywz38), Just(ywz33), bb), GT), bb, bc) at position [6,0] we obtained the following new rules [LPAR04]: (new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc),new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc)) ---------------------------------------- (28) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), LT), h, ba) new_splitLT20(ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, ywz500, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (29) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), LT), h, ba) at position [5,0] we obtained the following new rules [LPAR04]: (new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, LT), h, ba),new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, LT), h, ba)) ---------------------------------------- (30) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT20(ywz41, ywz42, Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz44, ywz500, True, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, LT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (31) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node. ---------------------------------------- (32) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, LT), h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (33) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, LT), h, ba) at position [5] we obtained the following new rules [LPAR04]: (new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba),new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba)) ---------------------------------------- (34) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (35) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) at position [5,0] we obtained the following new rules [LPAR04]: (new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, new_esEs7(Just(ywz500), Nothing, h), h), GT), h, ba),new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, new_esEs7(Just(ywz500), Nothing, h), h), GT), h, ba)) ---------------------------------------- (36) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, new_esEs7(Just(ywz500), Nothing, h), h), GT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (37) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, new_esEs7(Just(ywz500), Nothing, h), h), GT), h, ba) at position [5,0,2] we obtained the following new rules [LPAR04]: (new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba),new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba)) ---------------------------------------- (38) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (39) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) at position [5,0] we obtained the following new rules [LPAR04]: (new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba),new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba)) ---------------------------------------- (40) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (41) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba) at position [5] we obtained the following new rules [LPAR04]: (new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba),new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba)) ---------------------------------------- (42) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_esEs29(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs29(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs29(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs29(x0, x1, ty_Float) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs29(x0, x1, ty_Integer) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (43) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz36, ywz38, bb, bc) The graph contains the following edges 4 >= 1, 6 >= 2, 8 >= 3, 9 >= 4 *new_splitLT21(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bb, bc) -> new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare24(Just(ywz38), Just(ywz33), new_esEs7(Just(ywz38), Just(ywz33), bb), bb), GT), bb, bc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 8 >= 8, 9 >= 9 *new_splitLT0(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT3(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 3 >= 7, 4 >= 8 *new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 7 >= 7, 8 >= 8 *new_splitLT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 >= 8, 8 >= 9 *new_splitLT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3, 5 >= 4, 6 > 5, 7 >= 7, 8 >= 8 *new_splitLT12(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bb, bc) -> new_splitLT0(ywz37, ywz38, bb, bc) The graph contains the following edges 5 >= 1, 6 >= 2, 8 >= 3, 9 >= 4 *new_splitLT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT0(ywz44, ywz500, h, ba) The graph contains the following edges 4 >= 1, 5 >= 2, 7 >= 3, 8 >= 4 ---------------------------------------- (44) YES ---------------------------------------- (45) Obligation: Q DP problem: The TRS P consists of the following rules: new_plusFM_C(ywz3, Branch(ywz40, ywz41, ywz42, ywz43, ywz44), Branch(ywz50, ywz51, ywz52, ywz53, ywz54), h, ba) -> new_plusFM_C(ywz3, new_splitLT30(ywz40, ywz41, ywz42, ywz43, ywz44, ywz50, h, ba), ywz53, h, ba) new_plusFM_C(ywz3, Branch(ywz40, ywz41, ywz42, ywz43, ywz44), Branch(ywz50, ywz51, ywz52, ywz53, ywz54), h, ba) -> new_plusFM_C(ywz3, new_splitGT30(ywz40, ywz41, ywz42, ywz43, ywz44, ywz50, h, ba), ywz54, h, ba) The TRS R consists of the following rules: new_lt19(ywz5001, ywz4001, app(app(ty_Either, bca), bcb)) -> new_lt7(ywz5001, ywz4001, bca, bcb) new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_mkVBalBranch2(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, Branch(ywz630, ywz631, ywz632, ywz633, ywz634), h, ba) -> new_mkVBalBranch30(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, ywz630, ywz631, ywz632, ywz633, ywz634, h, ba) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_splitGT14(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_mkVBalBranch(ywz400, ywz41, new_splitGT4(ywz43, h, ba), ywz44, h, ba) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], hf)) -> new_esEs17(ywz5000, ywz4000, hf) new_primPlusNat0(Zero, Zero) -> Zero new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_esEs29(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_compare12(ywz5000, ywz4000, False, ff, fg) -> GT new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_mkVBalBranch0(ywz41, Branch(ywz710, ywz711, ywz712, ywz713, ywz714), Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_mkVBalBranch3MkVBalBranch20(ywz440, ywz441, ywz442, ywz443, ywz444, ywz710, ywz711, ywz712, ywz713, ywz714, Nothing, ywz41, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz440, ywz441, ywz442, ywz443, ywz444, ywz710, ywz711, ywz712, ywz713, ywz714, h, ba)), new_mkVBalBranch3Size_r(ywz440, ywz441, ywz442, ywz443, ywz444, ywz710, ywz711, ywz712, ywz713, ywz714, h, ba)), h, ba) new_lt19(ywz5001, ywz4001, app(ty_Maybe, bcd)) -> new_lt18(ywz5001, ywz4001, bcd) new_splitLT5(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), ywz500, h, ba) -> new_splitLT30(ywz430, ywz431, ywz432, ywz433, ywz434, Just(ywz500), h, ba) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, ff, fg) -> new_esEs8(new_compare15(ywz5000, ywz4000, ff, fg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bfb)) -> new_compare31(ywz5000, ywz4000, bfb) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, ef), eg)) -> new_esEs4(ywz500, ywz400, ef, eg) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, hb)) -> new_lt9(ywz5000, ywz4000, hb) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_addToFM_C20(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkBalBranch(ywz740, ywz741, new_addToFM_C0(ywz743, ywz50, ywz9, h, ba), ywz744, h, ba) new_esEs29(ywz500, ywz400, app(app(app(ty_@3, eh), fa), fb)) -> new_esEs5(ywz500, ywz400, eh, fa, fb) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, fd) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, ff, fg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(ty_Maybe, eb)) -> new_esEs7(ywz5000, ywz4000, eb) new_splitGT23(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitGT5(ywz44, ywz500, h, ba) new_splitLT30(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT22(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), LT), h, ba) new_emptyFM(h, ba) -> EmptyFM new_ltEs16(Just(ywz5000), Nothing, fd) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bgf)) -> new_esEs7(ywz5000, ywz4000, bgf) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primPlusInt2(Branch(ywz1790, ywz1791, Pos(ywz17920), ywz1793, ywz1794), ywz440, ywz441, ywz444, h, ba) -> new_primPlusInt0(ywz17920, new_sizeFM1(ywz444, h, ba)) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, fh)) -> new_esEs12(ywz5001, ywz4001, fh) new_mkBalBranch6MkBalBranch01(ywz440, ywz441, ywz4440, ywz4441, ywz4442, Branch(ywz44430, ywz44431, ywz44432, ywz44433, ywz44434), ywz4444, ywz179, False, h, ba) -> new_mkBranch(Succ(Succ(Succ(Succ(Zero)))), ywz44430, ywz44431, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Zero))))), ywz440, ywz441, ywz179, ywz44433, app(ty_Maybe, h), ba), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))), ywz4440, ywz4441, ywz44434, ywz4444, app(ty_Maybe, h), ba), app(ty_Maybe, h), ba) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, bdf)) -> new_esEs7(ywz5000, ywz4000, bdf) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, ha)) -> new_ltEs16(ywz5001, ywz4001, ha) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), cg, be) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bad), bae), baf)) -> new_ltEs11(ywz5002, ywz4002, bad, bae, baf) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_esEs8(GT, GT) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primPlusInt2(Branch(ywz1790, ywz1791, Neg(ywz17920), ywz1793, ywz1794), ywz440, ywz441, ywz444, h, ba) -> new_primPlusInt1(ywz17920, new_sizeFM1(ywz444, h, ba)) new_ltEs18(ywz500, ywz400, app(app(ty_@2, ef), eg)) -> new_ltEs4(ywz500, ywz400, ef, eg) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_addToFM0(ywz44, ywz400, ywz41, h, ba) -> new_addToFM_C5(ywz44, ywz400, ywz41, h, ba) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, be) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], bcc)) -> new_esEs17(ywz5001, ywz4001, bcc) new_primPlusInt(Neg(ywz3860), ywz350, ywz351, ywz348, ec, ed) -> new_primPlusInt1(ywz3860, new_sizeFM0(ywz351, ec, ed)) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_esEs29(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_addToFM_C20(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C10(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_gt(ywz50, ywz740, h), h, ba) new_splitLT5(EmptyFM, ywz500, h, ba) -> new_emptyFM(h, ba) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, cf), be) -> new_esEs7(ywz5000, ywz4000, cf) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, bce)) -> new_esEs12(ywz5000, ywz4000, bce) new_addToFM_C5(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz400, ywz41, h, ba) -> new_addToFM_C20(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz400), ywz41, new_lt18(Just(ywz400), ywz440, h), h, ba) new_lt10(ywz5000, ywz4000, bb, bc) -> new_esEs8(new_compare18(ywz5000, ywz4000, bb, bc), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_splitGT5(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT30(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bfh), bga), bgb)) -> new_esEs5(ywz5000, ywz4000, bfh, bga, bgb) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], ce), be) -> new_esEs17(ywz5000, ywz4000, ce) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, bh), ca), cb), be) -> new_ltEs11(ywz5000, ywz4000, bh, ca, cb) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_splitGT4(EmptyFM, h, ba) -> new_emptyFM(h, ba) new_compare14(ywz5000, ywz4000, True, hc, hd, he) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, bbc)) -> new_esEs12(ywz5001, ywz4001, bbc) new_splitLT23(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitLT16(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare31(Just(ywz500), Nothing, h), GT), h, ba) new_mkBranch(ywz347, ywz348, ywz349, ywz350, ywz351, ec, ed) -> Branch(ywz348, ywz349, new_primPlusInt(new_primPlusInt0(Succ(Zero), new_sizeFM0(ywz350, ec, ed)), ywz350, ywz351, ywz348, ec, ed), ywz350, ywz351) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_splitGT23(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitGT16(ywz41, ywz42, ywz43, ywz44, ywz500, new_lt18(Just(ywz500), Nothing, h), h, ba) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(app(app(ty_@3, dd), de), df)) -> new_ltEs11(ywz5000, ywz4000, dd, de, df) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, bd), be) -> new_ltEs6(ywz5000, ywz4000, bd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_splitGT5(EmptyFM, ywz500, h, ba) -> new_emptyFM(h, ba) new_splitGT24(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bfc, bfd) -> new_splitGT5(ywz22, ywz23, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_splitLT13(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> ywz43 new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), ef, eg) -> new_asAs(new_esEs23(ywz5000, ywz4000, ef), new_esEs22(ywz5001, ywz4001, eg)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_primPlusInt0(ywz17920, Neg(ywz2390)) -> new_primMinusNat0(ywz17920, ywz2390) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_mkBalBranch6MkBalBranch3(ywz440, ywz441, ywz444, Branch(ywz1790, ywz1791, ywz1792, ywz1793, ywz1794), True, h, ba) -> new_mkBalBranch6MkBalBranch11(ywz440, ywz441, ywz444, ywz1790, ywz1791, ywz1792, ywz1793, ywz1794, new_lt8(new_sizeFM1(ywz1794, h, ba), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM1(ywz1793, h, ba))), h, ba) new_addToFM_C0(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C30(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_compare10(ywz5000, ywz4000, True, bb, bc) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, gc), gd), ge)) -> new_ltEs11(ywz5001, ywz4001, gc, gd, ge) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, be) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, bdc), bdd)) -> new_lt7(ywz5000, ywz4000, bdc, bdd) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, baa)) -> new_esEs12(ywz5002, ywz4002, baa) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, bbc)) -> new_lt9(ywz5001, ywz4001, bbc) new_primMinusNat0(Succ(ywz179200), Zero) -> Pos(Succ(ywz179200)) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, cc), cd), be) -> new_ltEs5(ywz5000, ywz4000, cc, cd) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, hh) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, bbf), bbg), bbh)) -> new_lt14(ywz5001, ywz4001, bbf, bbg, bbh) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, eh), fa), fb)) -> new_ltEs11(ywz500, ywz400, eh, fa, fb) new_primPlusInt2(EmptyFM, ywz440, ywz441, ywz444, h, ba) -> new_primPlusInt0(Zero, new_sizeFM1(ywz444, h, ba)) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_addToFM_C4(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz41, h, ba) -> new_addToFM_C20(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, ywz41, new_lt18(Nothing, ywz440, h), h, ba) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bab), bac)) -> new_ltEs4(ywz5002, ywz4002, bab, bac) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_mkBalBranch6MkBalBranch01(ywz440, ywz441, ywz4440, ywz4441, ywz4442, ywz4443, ywz4444, ywz179, True, h, ba) -> new_mkBranch(Succ(Succ(Zero)), ywz4440, ywz4441, new_mkBranch(Succ(Succ(Succ(Zero))), ywz440, ywz441, ywz179, ywz4443, app(ty_Maybe, h), ba), ywz4444, app(ty_Maybe, h), ba) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, be) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, eh), fa), fb)) -> new_esEs5(ywz500, ywz400, eh, fa, fb) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare16(ywz5000, ywz4000, False) -> GT new_compare25(ywz5000, ywz4000, False, hc, hd, he) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, hc, hd, he), hc, hd, he) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, hc, hd, he) -> new_esEs8(new_compare30(ywz5000, ywz4000, hc, hd, he), LT) new_splitGT24(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bfc, bfd) -> new_splitGT15(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bfc), bfc, bfd) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_mkBalBranch6MkBalBranch5(ywz440, ywz441, ywz444, ywz179, True, h, ba) -> new_mkBranch(Zero, ywz440, ywz441, ywz179, ywz444, app(ty_Maybe, h), ba) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, bh), ca), cb), be) -> new_esEs5(ywz5000, ywz4000, bh, ca, cb) new_esEs29(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(ty_Ratio, da)) -> new_ltEs6(ywz5000, ywz4000, da) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], gh)) -> new_ltEs13(ywz5001, ywz4001, gh) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, ga), gb)) -> new_ltEs4(ywz5001, ywz4001, ga, gb) new_sIZE_RATIO -> Pos(Succ(Succ(Succ(Succ(Succ(Zero)))))) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bed), bee), bef)) -> new_esEs5(ywz5000, ywz4000, bed, bee, bef) new_mkVBalBranch3MkVBalBranch20(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_mkVBalBranch3MkVBalBranch10(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_r(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_l(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) new_mkVBalBranch3MkVBalBranch10(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkBalBranch(ywz740, ywz741, ywz743, new_mkVBalBranch1(ywz50, ywz9, ywz744, ywz60, ywz61, ywz62, ywz63, ywz64, h, ba), h, ba) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, be) -> new_ltEs10(ywz5000, ywz4000) new_addToFM_C10(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> Branch(ywz50, ywz9, ywz742, ywz743, ywz744) new_primPlusInt1(ywz17920, Neg(ywz2400)) -> Neg(new_primPlusNat0(ywz17920, ywz2400)) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), fd) -> False new_esEs7(Just(ywz5000), Nothing, fd) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_splitLT15(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bdg, bdh) -> ywz36 new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_compare15(ywz5000, ywz4000, ff, fg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, ff, fg), ff, fg) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, gf), gg)) -> new_esEs6(ywz5001, ywz4001, gf, gg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, fd)) -> new_ltEs16(ywz500, ywz400, fd) new_splitLT13(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_mkVBalBranch(ywz400, ywz41, ywz43, new_splitLT4(ywz44, h, ba), h, ba) new_primMinusNat0(Succ(ywz179200), Succ(ywz23900)) -> new_primMinusNat0(ywz179200, ywz23900) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, bcd)) -> new_esEs7(ywz5001, ywz4001, bcd) new_compare23(ywz5000, ywz4000, False, bb, bc) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, bb, bc), bb, bc) new_esEs17([], [], fc) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], bde)) -> new_lt11(ywz5000, ywz4000, bde) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(app(ty_@2, db), dc)) -> new_ltEs4(ywz5000, ywz4000, db, dc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, be) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, bb, bc) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, beb), bec)) -> new_esEs4(ywz5000, ywz4000, beb, bec) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, fd) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs30(ywz500, ywz400, app(ty_[], fc)) -> new_esEs17(ywz500, ywz400, fc) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_mkBalBranch6MkBalBranch01(ywz440, ywz441, ywz4440, ywz4441, ywz4442, EmptyFM, ywz4444, ywz179, False, h, ba) -> error([]) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_compare25(ywz5000, ywz4000, True, hc, hd, he) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bea)) -> new_esEs12(ywz5000, ywz4000, bea) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_splitGT4(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_splitGT30(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) new_esEs29(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, cc), cd), be) -> new_esEs6(ywz5000, ywz4000, cc, cd) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bab), bac)) -> new_esEs4(ywz5002, ywz4002, bab, bac) new_splitLT24(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, False, bdg, bdh) -> new_splitLT15(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, new_esEs8(new_compare31(Just(ywz38), Just(ywz33), bdg), GT), bdg, bdh) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, bbc)) -> new_esEs12(ywz5001, ywz4001, bbc) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_splitGT15(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bfc, bfd) -> new_mkVBalBranch(ywz18, ywz19, new_splitGT5(ywz21, ywz23, bfc, bfd), ywz22, bfc, bfd) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, bbd), bbe)) -> new_esEs4(ywz5001, ywz4001, bbd, bbe) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bfe)) -> new_ltEs6(ywz5000, ywz4000, bfe) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, bca), bcb)) -> new_esEs6(ywz5001, ywz4001, bca, bcb) new_gt(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), GT) new_ltEs6(ywz500, ywz400, ee) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, ee), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, hc), hd), he)) -> new_esEs5(ywz5000, ywz4000, hc, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(app(app(ty_@3, dd), de), df)) -> new_esEs5(ywz5000, ywz4000, dd, de, df) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, ha)) -> new_esEs7(ywz5001, ywz4001, ha) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, hg)) -> new_esEs7(ywz5000, ywz4000, hg) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_mkVBalBranch3MkVBalBranch20(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkBalBranch(ywz60, ywz61, new_mkVBalBranch2(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, ywz63, h, ba), ywz64, h, ba) new_esEs28(ywz5000, ywz4000, app(ty_[], bde)) -> new_esEs17(ywz5000, ywz4000, bde) new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_lt19(ywz5001, ywz4001, app(ty_[], bcc)) -> new_lt11(ywz5001, ywz4001, bcc) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bgc), bgd)) -> new_esEs6(ywz5000, ywz4000, bgc, bgd) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, cf), be) -> new_ltEs16(ywz5000, ywz4000, cf) new_splitGT16(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> ywz44 new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, bcf), bcg)) -> new_esEs4(ywz5000, ywz4000, bcf, bcg) new_lt15(ywz5000, ywz4000, app(app(ty_Either, ff), fg)) -> new_lt7(ywz5000, ywz4000, ff, fg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_mkBalBranch(ywz440, ywz441, ywz179, ywz444, h, ba) -> new_mkBalBranch6MkBalBranch5(ywz440, ywz441, ywz444, ywz179, new_lt8(new_primPlusInt2(ywz179, ywz440, ywz441, ywz444, h, ba), Pos(Succ(Succ(Zero)))), h, ba) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, ff, fg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, ff, fg), ff, fg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, bbb)) -> new_ltEs16(ywz5002, ywz4002, bbb) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_splitGT30(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT23(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, app(ty_[], fc)) -> new_esEs17(ywz500, ywz400, fc) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bff), bfg)) -> new_esEs4(ywz5000, ywz4000, bff, bfg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_splitLT22(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitLT13(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Just(ywz400), h), GT), h, ba) new_mkVBalBranch(ywz400, ywz41, Branch(ywz720, ywz721, ywz722, ywz723, ywz724), Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_mkVBalBranch3MkVBalBranch20(ywz440, ywz441, ywz442, ywz443, ywz444, ywz720, ywz721, ywz722, ywz723, ywz724, Just(ywz400), ywz41, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz440, ywz441, ywz442, ywz443, ywz444, ywz720, ywz721, ywz722, ywz723, ywz724, h, ba)), new_mkVBalBranch3Size_r(ywz440, ywz441, ywz442, ywz443, ywz444, ywz720, ywz721, ywz722, ywz723, ywz724, h, ba)), h, ba) new_primPlusInt0(ywz17920, Pos(ywz2390)) -> Pos(new_primPlusNat0(ywz17920, ywz2390)) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, bdc), bdd)) -> new_esEs6(ywz5000, ywz4000, bdc, bdd) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, bd), be) -> new_esEs12(ywz5000, ywz4000, bd) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_splitGT30(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT22(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), GT), h, ba) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bgf)) -> new_ltEs16(ywz5000, ywz4000, bgf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_addToFM1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C30(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs29(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bad), bae), baf)) -> new_esEs5(ywz5002, ywz4002, bad, bae, baf) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_splitGT22(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitGT14(ywz400, ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Just(ywz400), h), h, ba) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_mkVBalBranch(ywz400, ywz41, EmptyFM, ywz44, h, ba) -> new_addToFM0(ywz44, ywz400, ywz41, h, ba) new_lt15(ywz5000, ywz4000, app(ty_Maybe, hg)) -> new_lt18(ywz5000, ywz4000, hg) new_splitGT13(ywz41, ywz42, ywz43, ywz44, False, h, ba) -> ywz44 new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, beg), beh)) -> new_compare15(ywz5000, ywz4000, beg, beh) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs5(ywz5001, ywz4001, bbf, bbg, bbh) new_addToFM_C5(EmptyFM, ywz400, ywz41, h, ba) -> Branch(Just(ywz400), ywz41, Pos(Succ(Zero)), new_emptyFM(h, ba), new_emptyFM(h, ba)) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), eh, fa, fb) -> new_pePe(new_lt20(ywz5000, ywz4000, eh), new_asAs(new_esEs28(ywz5000, ywz4000, eh), new_pePe(new_lt19(ywz5001, ywz4001, fa), new_asAs(new_esEs27(ywz5001, ywz4001, fa), new_ltEs20(ywz5002, ywz4002, fb))))) new_mkBalBranch6MkBalBranch11(ywz440, ywz441, ywz444, ywz1790, ywz1791, ywz1792, ywz1793, EmptyFM, False, h, ba) -> error([]) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, ff), fg)) -> new_esEs6(ywz5000, ywz4000, ff, fg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, bb), bc)) -> new_esEs4(ywz5000, ywz4000, bb, bc) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, beg), beh)) -> new_esEs6(ywz5000, ywz4000, beg, beh) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, gf), gg)) -> new_ltEs5(ywz5001, ywz4001, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, be) -> new_ltEs8(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], ce), be) -> new_ltEs13(ywz5000, ywz4000, ce) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, bdf)) -> new_esEs7(ywz5000, ywz4000, bdf) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, be) -> new_ltEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, bf), bg), be) -> new_esEs4(ywz5000, ywz4000, bf, bg) new_splitGT15(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bfc, bfd) -> ywz22 new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_addToFM_C10(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkBalBranch(ywz740, ywz741, ywz743, new_addToFM_C0(ywz744, ywz50, ywz9, h, ba), h, ba) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, ga), gb)) -> new_esEs4(ywz5001, ywz4001, ga, gb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bff), bfg)) -> new_ltEs4(ywz5000, ywz4000, bff, bfg) new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(app(ty_Either, dg), dh)) -> new_esEs6(ywz5000, ywz4000, dg, dh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, bf), bg), be) -> new_ltEs4(ywz5000, ywz4000, bf, bg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, be) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bfh), bga), bgb)) -> new_ltEs11(ywz5000, ywz4000, bfh, bga, bgb) new_mkBalBranch6Size_r(ywz440, ywz441, ywz444, ywz179, h, ba) -> new_sizeFM1(ywz444, h, ba) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, gc), gd), ge)) -> new_esEs5(ywz5001, ywz4001, gc, gd, ge) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(ty_[], ea)) -> new_ltEs13(ywz5000, ywz4000, ea) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, fh)) -> new_ltEs6(ywz5001, ywz4001, fh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, bbd), bbe)) -> new_lt10(ywz5001, ywz4001, bbd, bbe) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_splitLT30(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT24(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs29(ywz500, ywz400, h), h), LT), h, ba) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), ef, eg) -> new_pePe(new_lt15(ywz5000, ywz4000, ef), new_asAs(new_esEs26(ywz5000, ywz4000, ef), new_ltEs19(ywz5001, ywz4001, eg))) new_compare30(ywz5000, ywz4000, hc, hd, he) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, hc, hd, he), hc, hd, he) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_mkVBalBranch30(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, ywz630, ywz631, ywz632, ywz633, ywz634, h, ba) -> new_mkVBalBranch3MkVBalBranch20(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_r(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) new_compare0([], :(ywz4000, ywz4001), fc) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), cg, be) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_splitGT30(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT24(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_compare10(ywz5000, ywz4000, False, bb, bc) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, bag), bah)) -> new_esEs6(ywz5002, ywz4002, bag, bah) new_lt20(ywz5000, ywz4000, app(app(ty_@2, bcf), bcg)) -> new_lt10(ywz5000, ywz4000, bcf, bcg) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], bcc)) -> new_esEs17(ywz5001, ywz4001, bcc) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs29(ywz500, ywz400, app(ty_Ratio, ee)) -> new_esEs12(ywz500, ywz400, ee) new_esEs6(Left(ywz5000), Right(ywz4000), cg, be) -> False new_esEs6(Right(ywz5000), Left(ywz4000), cg, be) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_splitLT14(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_mkVBalBranch0(ywz41, ywz43, new_splitLT4(ywz44, h, ba), h, ba) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(ty_Maybe, eb)) -> new_ltEs16(ywz5000, ywz4000, eb) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, bbb)) -> new_esEs7(ywz5002, ywz4002, bbb) new_primMinusNat0(Zero, Zero) -> Pos(Zero) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bfe)) -> new_esEs12(ywz5000, ywz4000, bfe) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, bag), bah)) -> new_ltEs5(ywz5002, ywz4002, bag, bah) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, hh) -> LT new_lt15(ywz5000, ywz4000, app(ty_[], hf)) -> new_lt11(ywz5000, ywz4000, hf) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_addToFM_C30(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C20(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) new_esEs9(ywz5002, ywz4002, app(ty_[], bba)) -> new_esEs17(ywz5002, ywz4002, bba) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, app(app(ty_Either, dg), dh)) -> new_ltEs5(ywz5000, ywz4000, dg, dh) new_lt11(ywz5000, ywz4000, hf) -> new_esEs8(new_compare0(ywz5000, ywz4000, hf), LT) new_splitLT14(ywz41, ywz42, ywz43, ywz44, False, h, ba) -> ywz43 new_esEs30(ywz500, ywz400, app(ty_Ratio, ee)) -> new_esEs12(ywz500, ywz400, ee) new_esEs29(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], fc) -> EQ new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_mkBalBranch6MkBalBranch4(ywz440, ywz441, EmptyFM, ywz179, True, h, ba) -> error([]) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_mkBalBranch6MkBalBranch4(ywz440, ywz441, Branch(ywz4440, ywz4441, ywz4442, ywz4443, ywz4444), ywz179, True, h, ba) -> new_mkBalBranch6MkBalBranch01(ywz440, ywz441, ywz4440, ywz4441, ywz4442, ywz4443, ywz4444, ywz179, new_lt8(new_sizeFM1(ywz4443, h, ba), new_sr(Pos(Succ(Succ(Zero))), new_sizeFM1(ywz4444, h, ba))), h, ba) new_mkVBalBranch2(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, EmptyFM, h, ba) -> new_addToFM1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, be) -> new_esEs20(ywz5000, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_mkVBalBranch0(ywz41, Branch(ywz710, ywz711, ywz712, ywz713, ywz714), EmptyFM, h, ba) -> new_addToFM(Branch(ywz710, ywz711, ywz712, ywz713, ywz714), ywz41, h, ba) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], fc)) -> new_ltEs13(ywz500, ywz400, fc) new_compare14(ywz5000, ywz4000, False, hc, hd, he) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, ff), fg)) -> new_esEs6(ywz5000, ywz4000, ff, fg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_addToFM(ywz44, ywz41, h, ba) -> new_addToFM_C4(ywz44, ywz41, h, ba) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, baa)) -> new_ltEs6(ywz5002, ywz4002, baa) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_splitLT23(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitLT5(ywz43, ywz500, h, ba) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_mkVBalBranch3Size_l(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba) -> new_sizeFM(ywz740, ywz741, ywz742, ywz743, ywz744, h, ba) new_mkBalBranch6MkBalBranch3(ywz440, ywz441, ywz444, ywz179, False, h, ba) -> new_mkBranch(Succ(Zero), ywz440, ywz441, ywz179, ywz444, app(ty_Maybe, h), ba) new_mkVBalBranch1(ywz50, ywz9, Branch(ywz7440, ywz7441, ywz7442, ywz7443, ywz7444), ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) -> new_mkVBalBranch30(ywz50, ywz9, ywz7440, ywz7441, ywz7442, ywz7443, ywz7444, ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) new_splitGT13(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_mkVBalBranch0(ywz41, new_splitGT4(ywz43, h, ba), ywz44, h, ba) new_gt1(ywz244, ywz243) -> new_esEs8(new_compare8(ywz244, ywz243), GT) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bfa)) -> new_esEs17(ywz5000, ywz4000, bfa) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bed), bee), bef)) -> new_compare30(ywz5000, ywz4000, bed, bee, bef) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_mkBalBranch6MkBalBranch3(ywz440, ywz441, ywz444, EmptyFM, True, h, ba) -> error([]) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_mkVBalBranch0(ywz41, EmptyFM, ywz44, h, ba) -> new_addToFM(ywz44, ywz41, h, ba) new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs10(GT, GT) -> True new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bfb)) -> new_esEs7(ywz5000, ywz4000, bfb) new_splitGT14(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> ywz44 new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(app(ty_@2, db), dc)) -> new_esEs4(ywz5000, ywz4000, db, dc) new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, bb), bc)) -> new_esEs4(ywz5000, ywz4000, bb, bc) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, be) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_sizeFM(ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) -> ywz62 new_ltEs16(Nothing, Just(ywz4000), fd) -> True new_esEs6(Right(ywz5000), Right(ywz4000), cg, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, cg), be)) -> new_ltEs5(ywz500, ywz400, cg, be) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_mkBalBranch6MkBalBranch11(ywz440, ywz441, ywz444, ywz1790, ywz1791, ywz1792, ywz1793, Branch(ywz17940, ywz17941, ywz17942, ywz17943, ywz17944), False, h, ba) -> new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))), ywz17940, ywz17941, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))), ywz1790, ywz1791, ywz1793, ywz17943, app(ty_Maybe, h), ba), new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))))))), ywz440, ywz441, ywz17944, ywz444, app(ty_Maybe, h), ba), app(ty_Maybe, h), ba) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, bce)) -> new_esEs12(ywz5000, ywz4000, bce) new_esEs26(ywz5000, ywz4000, app(ty_[], hf)) -> new_esEs17(ywz5000, ywz4000, hf) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, be) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_mkVBalBranch1(ywz50, ywz9, EmptyFM, ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) -> new_addToFM1(ywz60, ywz61, ywz62, ywz63, ywz64, ywz50, ywz9, h, ba) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, hg)) -> new_esEs7(ywz5000, ywz4000, hg) new_ltEs10(LT, EQ) -> True new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, hb)) -> new_esEs12(ywz5000, ywz4000, hb) new_splitGT16(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_mkVBalBranch0(ywz41, new_splitGT5(ywz43, ywz500, h, ba), ywz44, h, ba) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_mkBalBranch6MkBalBranch11(ywz440, ywz441, ywz444, ywz1790, ywz1791, ywz1792, ywz1793, ywz1794, True, h, ba) -> new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero))))))), ywz1790, ywz1791, ywz1793, new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))), ywz440, ywz441, ywz1794, ywz444, app(ty_Maybe, h), ba), app(ty_Maybe, h), ba) new_sizeFM0(Branch(ywz3500, ywz3501, ywz3502, ywz3503, ywz3504), ec, ed) -> ywz3502 new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_sizeFM1(EmptyFM, h, ba) -> Pos(Zero) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, be) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, bcd)) -> new_esEs7(ywz5001, ywz4001, bcd) new_mkBalBranch6MkBalBranch4(ywz440, ywz441, ywz444, ywz179, False, h, ba) -> new_mkBalBranch6MkBalBranch3(ywz440, ywz441, ywz444, ywz179, new_gt1(new_mkBalBranch6Size_l(ywz440, ywz441, ywz444, ywz179, h, ba), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_r(ywz440, ywz441, ywz444, ywz179, h, ba))), h, ba) new_ltEs18(ywz500, ywz400, app(ty_Ratio, ee)) -> new_ltEs6(ywz500, ywz400, ee) new_splitLT30(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitLT14(ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare31(Nothing, Nothing, h), GT), h, ba) new_esEs29(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_mkVBalBranch3Size_r(ywz60, ywz61, ywz62, ywz63, ywz64, ywz70, ywz71, ywz72, ywz73, ywz74, h, ba) -> new_sizeFM(ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) new_lt20(ywz5000, ywz4000, app(ty_Ratio, bce)) -> new_lt9(ywz5000, ywz4000, bce) new_splitLT16(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_mkVBalBranch0(ywz41, ywz43, new_splitLT5(ywz44, ywz500, h, ba), h, ba) new_ltEs20(ywz5002, ywz4002, app(ty_[], bba)) -> new_ltEs13(ywz5002, ywz4002, bba) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_mkBalBranch6MkBalBranch5(ywz440, ywz441, ywz444, ywz179, False, h, ba) -> new_mkBalBranch6MkBalBranch4(ywz440, ywz441, ywz444, ywz179, new_gt1(new_mkBalBranch6Size_r(ywz440, ywz441, ywz444, ywz179, h, ba), new_sr(new_sIZE_RATIO, new_mkBalBranch6Size_l(ywz440, ywz441, ywz444, ywz179, h, ba))), h, ba) new_addToFM_C4(EmptyFM, ywz41, h, ba) -> Branch(Nothing, ywz41, Pos(Succ(Zero)), new_emptyFM(h, ba), new_emptyFM(h, ba)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], fc) -> GT new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs29(ywz500, ywz400, app(app(ty_Either, cg), be)) -> new_esEs6(ywz500, ywz400, cg, be) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_splitLT15(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bdg, bdh) -> new_mkVBalBranch(ywz33, ywz34, ywz36, new_splitLT5(ywz37, ywz38, bdg, bdh), bdg, bdh) new_splitLT30(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitLT23(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), LT), h, ba) new_compare18(ywz5000, ywz4000, bb, bc) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, bb, bc), bb, bc) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), eh, fa, fb) -> new_asAs(new_esEs11(ywz5000, ywz4000, eh), new_asAs(new_esEs10(ywz5001, ywz4001, fa), new_esEs9(ywz5002, ywz4002, fb))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bge)) -> new_ltEs13(ywz5000, ywz4000, bge) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, hc), hd), he)) -> new_lt14(ywz5000, ywz4000, hc, hd, he) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, be) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, cg), be)) -> new_esEs6(ywz500, ywz400, cg, be) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(ty_Ratio, da)) -> new_esEs12(ywz5000, ywz4000, da) new_splitLT4(Branch(ywz430, ywz431, ywz432, ywz433, ywz434), h, ba) -> new_splitLT30(ywz430, ywz431, ywz432, ywz433, ywz434, Nothing, h, ba) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), fc) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, fc), fc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bea)) -> new_compare17(ywz5000, ywz4000, bea) new_esEs22(ywz5001, ywz4001, app(ty_[], gh)) -> new_esEs17(ywz5001, ywz4001, gh) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, be) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, be) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, bbd), bbe)) -> new_esEs4(ywz5001, ywz4001, bbd, bbe) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, bca), bcb)) -> new_esEs6(ywz5001, ywz4001, bca, bcb) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(ty_Maybe, fd)) -> new_esEs7(ywz500, ywz400, fd) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, beb), bec)) -> new_compare18(ywz5000, ywz4000, beb, bec) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, bcf), bcg)) -> new_esEs4(ywz5000, ywz4000, bcf, bcg) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), cg, app(ty_[], ea)) -> new_esEs17(ywz5000, ywz4000, ea) new_primCompAux0(ywz5000, ywz4000, ywz253, fc) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, fc)) new_splitLT4(EmptyFM, h, ba) -> new_emptyFM(h, ba) new_splitGT30(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT13(ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Nothing, h), h, ba) new_splitLT22(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitLT4(ywz43, h, ba) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bgc), bgd)) -> new_ltEs5(ywz5000, ywz4000, bgc, bgd) new_mkVBalBranch(ywz400, ywz41, Branch(ywz720, ywz721, ywz722, ywz723, ywz724), EmptyFM, h, ba) -> new_addToFM0(Branch(ywz720, ywz721, ywz722, ywz723, ywz724), ywz400, ywz41, h, ba) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, hc), hd), he)) -> new_esEs5(ywz5000, ywz4000, hc, hd, he) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_splitLT16(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> ywz43 new_splitLT24(ywz33, ywz34, ywz35, ywz36, ywz37, ywz38, True, bdg, bdh) -> new_splitLT5(ywz36, ywz38, bdg, bdh) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, bdf)) -> new_lt18(ywz5000, ywz4000, bdf) new_addToFM_C0(EmptyFM, ywz50, ywz9, h, ba) -> Branch(ywz50, ywz9, Pos(Succ(Zero)), new_emptyFM(h, ba), new_emptyFM(h, ba)) new_primMinusNat0(Zero, Succ(ywz23900)) -> Neg(Succ(ywz23900)) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_primPlusInt(Pos(ywz3860), ywz350, ywz351, ywz348, ec, ed) -> new_primPlusInt0(ywz3860, new_sizeFM0(ywz351, ec, ed)) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], bde)) -> new_esEs17(ywz5000, ywz4000, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs26(ywz5000, ywz4000, app(ty_Ratio, hb)) -> new_esEs12(ywz5000, ywz4000, hb) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bge)) -> new_esEs17(ywz5000, ywz4000, bge) new_esEs29(ywz500, ywz400, app(app(ty_@2, ef), eg)) -> new_esEs4(ywz500, ywz400, ef, eg) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, bb), bc)) -> new_lt10(ywz5000, ywz4000, bb, bc) new_splitGT22(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT4(ywz44, h, ba) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, bdc), bdd)) -> new_esEs6(ywz5000, ywz4000, bdc, bdd) new_mkBalBranch6Size_l(ywz440, ywz441, ywz444, ywz179, h, ba) -> new_sizeFM1(ywz179, h, ba) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), cg, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs29(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, be) -> new_ltEs14(ywz5000, ywz4000) new_asAs(False, ywz116) -> False new_esEs17(:(ywz5000, ywz5001), [], fc) -> False new_esEs17([], :(ywz4000, ywz4001), fc) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bfa)) -> new_compare0(ywz5000, ywz4000, bfa) new_ltEs13(ywz500, ywz400, fc) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, fc), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_mkVBalBranch3MkVBalBranch10(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_mkBranch(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Succ(Zero)))))))))))), ywz50, ywz9, Branch(ywz740, ywz741, ywz742, ywz743, ywz744), Branch(ywz60, ywz61, ywz62, ywz63, ywz64), app(ty_Maybe, h), ba) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), fc) -> new_asAs(new_esEs21(ywz5000, ywz4000, fc), new_esEs17(ywz5001, ywz4001, fc)) new_esEs29(ywz500, ywz400, app(ty_Maybe, fd)) -> new_esEs7(ywz500, ywz400, fd) new_sizeFM1(Branch(ywz1790, ywz1791, ywz1792, ywz1793, ywz1794), h, ba) -> ywz1792 new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_sizeFM0(EmptyFM, ec, ed) -> Pos(Zero) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, ff, fg) -> LT new_lt9(ywz5000, ywz4000, hb) -> new_esEs8(new_compare17(ywz5000, ywz4000, hb), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primPlusInt1(ywz17920, Pos(ywz2400)) -> new_primMinusNat0(ywz2400, ywz17920) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ee) -> new_asAs(new_esEs25(ywz5000, ywz4000, ee), new_esEs24(ywz5001, ywz4001, ee)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, bbf), bbg), bbh)) -> new_esEs5(ywz5001, ywz4001, bbf, bbg, bbh) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare24(x0, x1, True, x2) new_esEs8(EQ, EQ) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, ty_@0) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs23(x0, x1, ty_@0) new_esEs21(x0, x1, app(ty_[], x2)) new_splitLT30(Nothing, x0, x1, x2, x3, Just(x4), x5, x6) new_esEs24(x0, x1, ty_Integer) new_mkVBalBranch(x0, x1, Branch(x2, x3, x4, x5, x6), EmptyFM, x7, x8) new_esEs11(x0, x1, ty_Char) new_addToFM_C4(Branch(x0, x1, x2, x3, x4), x5, x6, x7) new_esEs23(x0, x1, ty_Bool) new_sizeFM1(EmptyFM, x0, x1) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs29(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_Float) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_splitGT16(x0, x1, x2, x3, x4, True, x5, x6) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_lt15(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_compare33(x0, x1, ty_Char) new_esEs29(x0, x1, ty_Int) new_lt20(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs10(LT, LT) new_esEs29(x0, x1, app(ty_Maybe, x2)) new_lt19(x0, x1, ty_Double) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Char) new_mkVBalBranch3MkVBalBranch10(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, False, x12, x13) new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, EmptyFM, x5, x6, False, x7, x8) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs17([], [], x0) new_primMinusNat0(Zero, Zero) new_splitLT15(x0, x1, x2, x3, x4, x5, False, x6, x7) new_esEs21(x0, x1, ty_Integer) new_compare0(:(x0, x1), [], x2) new_lt9(x0, x1, x2) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_primMinusNat0(Zero, Succ(x0)) new_emptyFM(x0, x1) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_mkVBalBranch0(x0, EmptyFM, x1, x2, x3) new_primCompAux00(x0, LT) new_lt20(x0, x1, ty_Int) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9) new_primEqInt(Neg(Zero), Neg(Zero)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_mkVBalBranch30(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12, x13) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_mkBalBranch6MkBalBranch4(x0, x1, Branch(x2, x3, x4, x5, x6), x7, True, x8, x9) new_ltEs5(Left(x0), Right(x1), x2, x3) new_lt20(x0, x1, ty_@0) new_ltEs5(Right(x0), Left(x1), x2, x3) new_primPlusInt0(x0, Pos(x1)) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_lt15(x0, x1, ty_Integer) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs18(x0, x1, ty_Int) new_sIZE_RATIO new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_compare23(x0, x1, False, x2, x3) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primPlusInt0(x0, Neg(x1)) new_primCmpNat1(Zero, x0) new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, False, x4, x5) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_compare14(x0, x1, False, x2, x3, x4) new_mkBalBranch6MkBalBranch3(x0, x1, x2, EmptyFM, True, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, Branch(x5, x6, x7, x8, x9), x10, x11, False, x12, x13) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_splitLT23(x0, x1, x2, x3, x4, False, x5, x6) new_mkBalBranch6MkBalBranch5(x0, x1, x2, x3, True, x4, x5) new_splitLT22(x0, x1, x2, x3, x4, False, x5, x6) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_mkBalBranch6MkBalBranch3(x0, x1, x2, x3, False, x4, x5) new_esEs11(x0, x1, ty_Int) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_primPlusInt2(EmptyFM, x0, x1, x2, x3, x4) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Char) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs29(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs18(x0, x1, ty_Char) new_splitLT24(x0, x1, x2, x3, x4, x5, True, x6, x7) new_ltEs20(x0, x1, ty_Bool) new_mkVBalBranch3MkVBalBranch10(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, True, x12, x13) new_ltEs19(x0, x1, ty_Integer) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs29(x0, x1, app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_splitLT5(Branch(x0, x1, x2, x3, x4), x5, x6, x7) new_compare6(Integer(x0), Integer(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), False, x12, x13) new_primCmpNat2(Succ(x0), Zero) new_splitLT5(EmptyFM, x0, x1, x2) new_primPlusInt1(x0, Neg(x1)) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Float) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_splitLT4(EmptyFM, x0, x1) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Char) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs8(x0, x1) new_ltEs10(EQ, LT) new_gt(x0, x1, x2) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_addToFM_C5(EmptyFM, x0, x1, x2, x3) new_esEs30(x0, x1, ty_Ordering) new_primPlusInt1(x0, Pos(x1)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_compare0([], :(x0, x1), x2) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_splitGT14(x0, x1, x2, x3, x4, False, x5, x6) new_mkVBalBranch1(x0, x1, EmptyFM, x2, x3, x4, x5, x6, x7, x8) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs9(x0, x1, ty_Double) new_esEs17(:(x0, x1), [], x2) new_lt6(x0, x1) new_mkBalBranch6Size_r(x0, x1, x2, x3, x4, x5) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs29(x0, x1, ty_@0) new_mkVBalBranch3MkVBalBranch20(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, True, x12, x13) new_addToFM(x0, x1, x2, x3) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare30(x0, x1, x2, x3, x4) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_splitLT23(x0, x1, x2, x3, x4, True, x5, x6) new_primPlusNat0(Succ(x0), Succ(x1)) new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) new_esEs21(x0, x1, ty_Int) new_esEs23(x0, x1, app(ty_[], x2)) new_addToFM_C4(EmptyFM, x0, x1, x2) new_compare18(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Double) new_compare15(x0, x1, x2, x3) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_mkBalBranch6Size_l(x0, x1, x2, x3, x4, x5) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Nothing, x1) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_splitGT4(Branch(x0, x1, x2, x3, x4), x5, x6) new_ltEs6(x0, x1, x2) new_ltEs19(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_esEs10(x0, x1, ty_Integer) new_splitGT23(x0, x1, x2, x3, x4, True, x5, x6) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_mkVBalBranch(x0, x1, Branch(x2, x3, x4, x5, x6), Branch(x7, x8, x9, x10, x11), x12, x13) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs16(False, False) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs13(x0, x1, x2) new_esEs26(x0, x1, ty_Char) new_splitGT30(Just(x0), x1, x2, x3, x4, Just(x5), x6, x7) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_splitLT24(x0, x1, x2, x3, x4, x5, False, x6, x7) new_addToFM_C20(x0, x1, x2, x3, x4, x5, x6, True, x7, x8) new_lt15(x0, x1, app(ty_[], x2)) new_mkVBalBranch2(x0, x1, x2, x3, x4, x5, x6, EmptyFM, x7, x8) new_esEs28(x0, x1, ty_Ordering) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, ty_Char) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_esEs29(x0, x1, ty_Double) new_ltEs16(Nothing, Just(x0), x1) new_sizeFM0(Branch(x0, x1, x2, x3, x4), x5, x6) new_splitGT22(x0, x1, x2, x3, x4, False, x5, x6) new_mkBalBranch6MkBalBranch01(x0, x1, x2, x3, x4, x5, x6, x7, True, x8, x9) new_addToFM_C10(x0, x1, x2, x3, x4, x5, x6, False, x7, x8) new_sizeFM(x0, x1, x2, x3, x4, x5, x6) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, ty_Int) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Integer) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_splitGT24(x0, x1, x2, x3, x4, x5, False, x6, x7) new_primPlusInt2(Branch(x0, x1, Neg(x2), x3, x4), x5, x6, x7, x8, x9) new_lt10(x0, x1, x2, x3) new_esEs10(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_addToFM_C5(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8) new_esEs9(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs7(Just(x0), Nothing, x1) new_splitLT16(x0, x1, x2, x3, x4, True, x5, x6) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare32(x0, x1) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_splitGT30(Nothing, x0, x1, x2, x3, Just(x4), x5, x6) new_esEs21(x0, x1, ty_Bool) new_lt19(x0, x1, app(ty_Ratio, x2)) new_ltEs20(x0, x1, app(ty_[], x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Float) new_lt7(x0, x1, x2, x3) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_addToFM_C0(Branch(x0, x1, x2, x3, x4), x5, x6, x7, x8) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_@0) new_primPlusInt(Neg(x0), x1, x2, x3, x4, x5) new_splitGT14(x0, x1, x2, x3, x4, True, x5, x6) new_primMinusNat0(Succ(x0), Zero) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs29(x0, x1, app(app(ty_Either, x2), x3)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs30(x0, x1, ty_Bool) new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_splitGT24(x0, x1, x2, x3, x4, x5, True, x6, x7) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_primPlusInt(Pos(x0), x1, x2, x3, x4, x5) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs30(x0, x1, ty_Integer) new_compare26(x0, x1, False, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_addToFM_C10(x0, x1, x2, x3, x4, x5, x6, True, x7, x8) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs17([], :(x0, x1), x2) new_splitLT13(x0, x1, x2, x3, x4, False, x5, x6) new_primCmpNat2(Zero, Zero) new_mkBalBranch6MkBalBranch11(x0, x1, x2, x3, x4, x5, x6, EmptyFM, False, x7, x8) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_ltEs20(x0, x1, ty_Int) new_addToFM0(x0, x1, x2, x3, x4) new_esEs7(Just(x0), Just(x1), ty_Float) new_mkBalBranch(x0, x1, x2, x3, x4, x5) new_esEs7(Nothing, Just(x0), x1) new_esEs27(x0, x1, ty_Bool) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_splitGT5(EmptyFM, x0, x1, x2) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_esEs29(x0, x1, ty_Float) new_lt20(x0, x1, app(ty_[], x2)) new_splitLT14(x0, x1, x2, x3, False, x4, x5) new_splitGT23(x0, x1, x2, x3, x4, False, x5, x6) new_compare10(x0, x1, False, x2, x3) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_esEs11(x0, x1, ty_Float) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_mkBranch(x0, x1, x2, x3, x4, x5, x6) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs22(x0, x1, ty_Double) new_splitGT15(x0, x1, x2, x3, x4, x5, False, x6, x7) new_primMinusNat0(Succ(x0), Succ(x1)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_splitLT16(x0, x1, x2, x3, x4, False, x5, x6) new_lt15(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_sizeFM1(Branch(x0, x1, x2, x3, x4), x5, x6) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(ty_[], x2)) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_ltEs12(False, True) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs12(True, False) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_pePe(True, x0) new_splitLT4(Branch(x0, x1, x2, x3, x4), x5, x6) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare13(x0, x1, False, x2) new_mkVBalBranch(x0, x1, EmptyFM, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_gt1(x0, x1) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_compare12(x0, x1, False, x2, x3) new_splitGT13(x0, x1, x2, x3, True, x4, x5) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_splitLT30(Just(x0), x1, x2, x3, x4, Just(x5), x6, x7) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_ltEs16(Just(x0), Just(x1), ty_Float) new_mkBalBranch6MkBalBranch3(x0, x1, x2, Branch(x3, x4, x5, x6, x7), True, x8, x9) new_ltEs15(x0, x1) new_esEs29(x0, x1, app(ty_[], x2)) new_splitLT13(x0, x1, x2, x3, x4, True, x5, x6) new_compare25(x0, x1, False, x2, x3, x4) new_primMulInt(Neg(x0), Neg(x1)) new_mkVBalBranch2(x0, x1, x2, x3, x4, x5, x6, Branch(x7, x8, x9, x10, x11), x12, x13) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs27(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_sizeFM0(EmptyFM, x0, x1) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_splitLT14(x0, x1, x2, x3, True, x4, x5) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_compare0([], [], x0) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_compare11(x0, x1, False) new_esEs17(:(x0, x1), :(x2, x3), x4) new_compare10(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_splitGT5(Branch(x0, x1, x2, x3, x4), x5, x6, x7) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Double) new_addToFM_C0(EmptyFM, x0, x1, x2, x3) new_mkVBalBranch0(x0, Branch(x1, x2, x3, x4, x5), EmptyFM, x6, x7) new_esEs30(x0, x1, ty_Float) new_addToFM1(x0, x1, x2, x3, x4, x5, x6, x7, x8) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_sr(x0, x1) new_esEs28(x0, x1, ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_pePe(False, x0) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Char) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_esEs27(x0, x1, app(ty_[], x2)) new_splitLT30(Just(x0), x1, x2, x3, x4, Nothing, x5, x6) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_addToFM_C20(x0, x1, x2, x3, x4, x5, x6, False, x7, x8) new_splitGT4(EmptyFM, x0, x1) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_esEs29(x0, x1, app(ty_Ratio, x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs29(x0, x1, ty_Integer) new_primCompAux0(x0, x1, x2, x3) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_compare210(x0, x1, False) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_compare12(x0, x1, True, x2, x3) new_ltEs16(Nothing, Nothing, x0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs18(@0, @0) new_splitGT22(x0, x1, x2, x3, x4, True, x5, x6) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_splitGT13(x0, x1, x2, x3, False, x4, x5) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_addToFM_C30(x0, x1, x2, x3, x4, x5, x6, x7, x8) new_primPlusInt2(Branch(x0, x1, Pos(x2), x3, x4), x5, x6, x7, x8, x9) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Nothing, Nothing, x0) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_esEs11(x0, x1, ty_Bool) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_splitGT30(Nothing, x0, x1, x2, x3, Nothing, x4, x5) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_mkBalBranch6MkBalBranch4(x0, x1, x2, x3, False, x4, x5) new_not(False) new_esEs25(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs23(x0, x1, ty_Char) new_splitGT15(x0, x1, x2, x3, x4, x5, True, x6, x7) new_mkVBalBranch0(x0, Branch(x1, x2, x3, x4, x5), Branch(x6, x7, x8, x9, x10), x11, x12) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_mkVBalBranch1(x0, x1, Branch(x2, x3, x4, x5, x6), x7, x8, x9, x10, x11, x12, x13) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_splitLT22(x0, x1, x2, x3, x4, True, x5, x6) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_compare23(x0, x1, True, x2, x3) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_lt11(x0, x1, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs30(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, ty_Double) new_splitLT30(Nothing, x0, x1, x2, x3, Nothing, x4, x5) new_mkBalBranch6MkBalBranch4(x0, x1, EmptyFM, x2, True, x3, x4) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare29(Char(x0), Char(x1)) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs9(x0, x1, ty_Int) new_mkVBalBranch3MkVBalBranch20(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, False, x12, x13) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs29(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs11(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_compare26(x0, x1, True, x2, x3) new_esEs29(x0, x1, ty_Char) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_splitGT30(Just(x0), x1, x2, x3, x4, Nothing, x5, x6) new_ltEs19(x0, x1, ty_@0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_splitGT16(x0, x1, x2, x3, x4, False, x5, x6) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_splitLT15(x0, x1, x2, x3, x4, x5, True, x6, x7) new_esEs11(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (46) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_plusFM_C(ywz3, Branch(ywz40, ywz41, ywz42, ywz43, ywz44), Branch(ywz50, ywz51, ywz52, ywz53, ywz54), h, ba) -> new_plusFM_C(ywz3, new_splitLT30(ywz40, ywz41, ywz42, ywz43, ywz44, ywz50, h, ba), ywz53, h, ba) The graph contains the following edges 1 >= 1, 3 > 3, 4 >= 4, 5 >= 5 *new_plusFM_C(ywz3, Branch(ywz40, ywz41, ywz42, ywz43, ywz44), Branch(ywz50, ywz51, ywz52, ywz53, ywz54), h, ba) -> new_plusFM_C(ywz3, new_splitGT30(ywz40, ywz41, ywz42, ywz43, ywz44, ywz50, h, ba), ywz54, h, ba) The graph contains the following edges 1 >= 1, 3 > 3, 4 >= 4, 5 >= 5 ---------------------------------------- (47) YES ---------------------------------------- (48) Obligation: Q DP problem: The TRS P consists of the following rules: new_mkVBalBranch3(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, ywz630, ywz631, ywz632, ywz633, ywz634, h, ba) -> new_mkVBalBranch3MkVBalBranch2(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_r(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) new_mkVBalBranch3MkVBalBranch1(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, Branch(ywz7440, ywz7441, ywz7442, ywz7443, ywz7444), ywz50, ywz9, True, h, ba) -> new_mkVBalBranch3(ywz50, ywz9, ywz7440, ywz7441, ywz7442, ywz7443, ywz7444, ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) new_mkVBalBranch3MkVBalBranch2(ywz60, ywz61, ywz62, Branch(ywz630, ywz631, ywz632, ywz633, ywz634), ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_r(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) new_mkVBalBranch3MkVBalBranch2(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_r(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_l(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) The TRS R consists of the following rules: new_sIZE_RATIO -> Pos(Succ(Succ(Succ(Succ(Succ(Zero)))))) new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat0(Zero, Zero) -> Zero new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs8(LT, LT) -> True new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_mkVBalBranch3Size_r(ywz60, ywz61, ywz62, ywz63, ywz64, ywz70, ywz71, ywz72, ywz73, ywz74, h, ba) -> new_sizeFM(ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_primCmpNat2(Zero, Zero) -> EQ new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_mkVBalBranch3Size_l(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba) -> new_sizeFM(ywz740, ywz741, ywz742, ywz743, ywz744, h, ba) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_primCmpNat0(ywz50000, Zero) -> GT new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs8(GT, GT) -> True new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_sizeFM(ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) -> ywz62 new_esEs8(EQ, EQ) -> True new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) The set Q consists of the following terms: new_primCmpInt(Neg(Zero), Neg(Zero)) new_esEs8(EQ, EQ) new_sIZE_RATIO new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_primMulNat0(Zero, Succ(x0)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_primCmpNat0(x0, Zero) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_primCmpNat1(Zero, x0) new_primPlusNat1(Succ(x0), x1) new_primMulNat0(Zero, Zero) new_mkVBalBranch3Size_l(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) new_lt8(x0, x1) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_primMulInt(Pos(x0), Pos(x1)) new_primPlusNat1(Zero, x0) new_esEs8(LT, GT) new_esEs8(GT, LT) new_compare8(x0, x1) new_primCmpNat0(x0, Succ(x1)) new_primPlusNat0(Succ(x0), Zero) new_sr(x0, x1) new_sizeFM(x0, x1, x2, x3, x4, x5, x6) new_primPlusNat0(Succ(x0), Succ(x1)) new_primCmpNat2(Succ(x0), Succ(x1)) new_mkVBalBranch3Size_r(x0, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primMulNat0(Succ(x0), Zero) new_primCmpNat2(Zero, Zero) new_primCmpNat1(Succ(x0), x1) new_primMulNat0(Succ(x0), Succ(x1)) new_esEs8(GT, GT) new_primCmpNat2(Succ(x0), Zero) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primPlusNat0(Zero, Zero) new_primCmpNat2(Zero, Succ(x0)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (49) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_mkVBalBranch3MkVBalBranch1(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, Branch(ywz7440, ywz7441, ywz7442, ywz7443, ywz7444), ywz50, ywz9, True, h, ba) -> new_mkVBalBranch3(ywz50, ywz9, ywz7440, ywz7441, ywz7442, ywz7443, ywz7444, ywz60, ywz61, ywz62, ywz63, ywz64, h, ba) The graph contains the following edges 11 >= 1, 12 >= 2, 10 > 3, 10 > 4, 10 > 5, 10 > 6, 10 > 7, 1 >= 8, 2 >= 9, 3 >= 10, 4 >= 11, 5 >= 12, 14 >= 13, 15 >= 14 *new_mkVBalBranch3(ywz50, ywz9, ywz740, ywz741, ywz742, ywz743, ywz744, ywz630, ywz631, ywz632, ywz633, ywz634, h, ba) -> new_mkVBalBranch3MkVBalBranch2(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_r(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) The graph contains the following edges 8 >= 1, 9 >= 2, 10 >= 3, 11 >= 4, 12 >= 5, 3 >= 6, 4 >= 7, 5 >= 8, 6 >= 9, 7 >= 10, 1 >= 11, 2 >= 12, 13 >= 14, 14 >= 15 *new_mkVBalBranch3MkVBalBranch2(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_mkVBalBranch3MkVBalBranch1(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_r(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_l(ywz60, ywz61, ywz62, ywz63, ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15 *new_mkVBalBranch3MkVBalBranch2(ywz60, ywz61, ywz62, Branch(ywz630, ywz631, ywz632, ywz633, ywz634), ywz64, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_mkVBalBranch3MkVBalBranch2(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt8(new_sr(new_sIZE_RATIO, new_mkVBalBranch3Size_l(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), new_mkVBalBranch3Size_r(ywz630, ywz631, ywz632, ywz633, ywz634, ywz740, ywz741, ywz742, ywz743, ywz744, h, ba)), h, ba) The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 14 >= 14, 15 >= 15 ---------------------------------------- (50) YES ---------------------------------------- (51) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMulNat(Succ(ywz500100), Succ(ywz400000)) -> new_primMulNat(ywz500100, Succ(ywz400000)) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (52) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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(ywz500100), Succ(ywz400000)) -> new_primMulNat(ywz500100, Succ(ywz400000)) The graph contains the following edges 1 > 1, 2 >= 2 ---------------------------------------- (53) YES ---------------------------------------- (54) Obligation: Q DP problem: The TRS P consists of the following rules: new_primMinusNat(Succ(ywz179200), Succ(ywz23900)) -> new_primMinusNat(ywz179200, ywz23900) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (55) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_primMinusNat(Succ(ywz179200), Succ(ywz23900)) -> new_primMinusNat(ywz179200, ywz23900) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (56) YES ---------------------------------------- (57) Obligation: Q DP problem: The TRS P consists of the following rules: new_primPlusNat(Succ(ywz21200), Succ(ywz4000000)) -> new_primPlusNat(ywz21200, ywz4000000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (58) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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(ywz21200), Succ(ywz4000000)) -> new_primPlusNat(ywz21200, ywz4000000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (59) YES ---------------------------------------- (60) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Just(ywz400), h), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT2(ywz400, ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), GT), h, ba) new_splitGT(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) new_splitGT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT1(ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Nothing, h), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_lt18(Just(ywz500), Nothing, h), h, ba) new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitGT0(ywz43, ywz500, h, ba) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (61) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. ---------------------------------------- (62) Complex Obligation (AND) ---------------------------------------- (63) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_lt18(Just(ywz500), Nothing, h), h, ba) new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitGT0(ywz43, ywz500, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (64) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Nothing, False, h), GT), h, ba) at position [5,0] we obtained the following new rules [LPAR04]: (new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba),new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba)) ---------------------------------------- (65) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, False, h, ba) -> new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, new_lt18(Just(ywz500), Nothing, h), h, ba) new_splitGT11(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) -> new_splitGT0(ywz43, ywz500, h, ba) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (66) DependencyGraphProof (EQUIVALENT) The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 2 less nodes. ---------------------------------------- (67) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (68) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(GT, GT), h, ba) at position [5] we obtained the following new rules [LPAR04]: (new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba),new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba)) ---------------------------------------- (69) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (70) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_lt18(Just(ywz23), Just(ywz18), bb), bb, bc) at position [6] we obtained the following new rules [LPAR04]: (new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare31(Just(ywz23), Just(ywz18), bb), LT), bb, bc),new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare31(Just(ywz23), Just(ywz18), bb), LT), bb, bc)) ---------------------------------------- (71) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare31(Just(ywz23), Just(ywz18), bb), LT), bb, bc) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (72) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare31(Just(ywz23), Just(ywz18), bb), LT), bb, bc) at position [6,0] we obtained the following new rules [LPAR04]: (new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare24(Just(ywz23), Just(ywz18), new_esEs7(Just(ywz23), Just(ywz18), bb), bb), LT), bb, bc),new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare24(Just(ywz23), Just(ywz18), new_esEs7(Just(ywz23), Just(ywz18), bb), bb), LT), bb, bc)) ---------------------------------------- (73) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) new_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare24(Just(ywz23), Just(ywz18), new_esEs7(Just(ywz23), Just(ywz18), bb), bb), LT), bb, bc) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (74) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_splitGT0(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 3 >= 7, 4 >= 8 *new_splitGT20(ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), ywz500, True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Just(ywz500), h, ba) The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 7 >= 7, 8 >= 8 *new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT21(ywz400, ywz41, ywz42, ywz43, ywz44, ywz500, new_esEs8(new_compare24(Just(ywz500), Just(ywz400), new_esEs30(ywz500, ywz400, h), h), GT), h, ba) The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 >= 8, 8 >= 9 *new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz22, ywz23, bb, bc) The graph contains the following edges 5 >= 1, 6 >= 2, 8 >= 3, 9 >= 4 *new_splitGT21(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, False, bb, bc) -> new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, new_esEs8(new_compare24(Just(ywz23), Just(ywz18), new_esEs7(Just(ywz23), Just(ywz18), bb), bb), LT), bb, bc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 8 >= 8, 9 >= 9 *new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Just(ywz500), h, ba) -> new_splitGT20(ywz41, ywz42, ywz43, ywz44, ywz500, True, h, ba) The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3, 5 >= 4, 6 > 5, 7 >= 7, 8 >= 8 *new_splitGT12(ywz18, ywz19, ywz20, ywz21, ywz22, ywz23, True, bb, bc) -> new_splitGT0(ywz21, ywz23, bb, bc) The graph contains the following edges 4 >= 1, 6 >= 2, 8 >= 3, 9 >= 4 ---------------------------------------- (75) YES ---------------------------------------- (76) Obligation: Q DP problem: The TRS P consists of the following rules: new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) new_splitGT(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), GT), h, ba) new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Just(ywz400), h), h, ba) new_splitGT2(ywz400, ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT1(ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Nothing, h), h, ba) new_splitGT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_lt7(ywz5001, ywz4001, dh, ea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcf, bcg) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, ty_Ordering) -> new_esEs8(ywz500, ywz400) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_lt18(ywz5001, ywz4001, ec) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcf, bcg) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcf, bcg), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_compare31(ywz5000, ywz4000, bca) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs30(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_esEs4(ywz500, ywz400, bcc, bcd) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_lt9(ywz5000, ywz4000, bee) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bce) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcf, bcg) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_esEs7(ywz5000, ywz4000, baf) new_ltEs16(Just(ywz5000), Nothing, bce) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_esEs7(ywz5000, ywz4000, bed) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_Float) -> new_esEs13(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_esEs12(ywz5001, ywz4001, beg) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_ltEs16(ywz5001, ywz4001, bfh) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hd, gb) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_ltEs11(ywz5002, ywz4002, cb, cc, cd) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bcc), bcd)) -> new_ltEs4(ywz500, ywz400, bcc, bcd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_esEs7(ywz5000, ywz4000, hc) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_lt10(ywz5000, ywz4000, fg, fh) -> new_esEs8(new_compare18(ywz5000, ywz4000, fg, fh), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_esEs5(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_esEs17(ywz5000, ywz4000, hb) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_ltEs11(ywz5000, ywz4000, ge, gf, gg) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bch, bda, bdb) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_ltEs11(ywz5000, ywz4000, hh, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_ltEs6(ywz5000, ywz4000, ga) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_asAs(new_esEs23(ywz5000, ywz4000, bcc), new_esEs22(ywz5001, ywz4001, bcd)) new_esEs30(ywz500, ywz400, ty_Integer) -> new_esEs19(ywz500, ywz400) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fg, fh) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_ltEs11(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_lt7(ywz5000, ywz4000, fb, fc) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_esEs12(ywz5002, ywz4002, bg) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_lt9(ywz5001, ywz4001, db) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_ltEs5(ywz5000, ywz4000, gh, ha) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bgb) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_lt14(ywz5001, ywz4001, de, df, dg) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_ltEs11(ywz500, ywz400, bd, be, bf) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_ltEs4(ywz5002, ywz4002, bh, ca) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gb) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, ty_@0) -> new_esEs18(ywz500, ywz400) new_esEs30(ywz500, ywz400, app(app(app(ty_@3, bd), be), bf)) -> new_esEs5(ywz500, ywz400, bd, be, bf) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bch, bda, bdb) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bch, bda, bdb) -> new_esEs8(new_compare30(ywz5000, ywz4000, bch, bda, bdb), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_lt14(ywz5000, ywz4000, eg, eh, fa) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, ge), gf), gg), gb) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_ltEs6(ywz5000, ywz4000, he) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfg)) -> new_ltEs13(ywz5001, ywz4001, bfg) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_ltEs4(ywz5001, ywz4001, beh, bfa) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs5(ywz5000, ywz4000, bbc, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bce) -> False new_esEs7(Just(ywz5000), Nothing, bce) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcf, bcg) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_esEs6(ywz5001, ywz4001, bfe, bff) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bce)) -> new_ltEs16(ywz500, ywz400, bce) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_compare23(ywz5000, ywz4000, False, fg, fh) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs17([], [], bag) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fd)) -> new_lt11(ywz5000, ywz4000, fd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_ltEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gb) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fg, fh) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_esEs4(ywz5000, ywz4000, bba, bbb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bce) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(ty_[], bag)) -> new_esEs17(ywz500, ywz400, bag) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare25(ywz5000, ywz4000, True, bch, bda, bdb) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_esEs12(ywz5000, ywz4000, bah) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bh), ca)) -> new_esEs4(ywz5002, ywz4002, bh, ca) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gh), ha), gb) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, db)) -> new_esEs12(ywz5001, ywz4001, db) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_ltEs6(ywz5000, ywz4000, bdc) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_ltEs6(ywz500, ywz400, bcb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs5(ywz5000, ywz4000, hh, baa, bab) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bfh)) -> new_esEs7(ywz5001, ywz4001, bfh) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_lt19(ywz5001, ywz4001, app(ty_[], eb)) -> new_lt11(ywz5001, ywz4001, eb) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_esEs6(ywz5000, ywz4000, bea, beb) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, hc), gb) -> new_ltEs16(ywz5000, ywz4000, hc) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_lt7(ywz5000, ywz4000, bcf, bcg) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcf, bcg) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcf, bcg), bcf, bcg) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_ltEs16(ywz5002, ywz4002, da) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_esEs4(ywz5000, ywz4000, bdd, bde) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, ga), gb) -> new_esEs12(ywz5000, ywz4000, ga) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bed)) -> new_ltEs16(ywz5000, ywz4000, bed) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cb), cc), cd)) -> new_esEs5(ywz5002, ywz4002, cb, cc, cd) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_lt18(ywz5000, ywz4000, bga) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_compare15(ywz5000, ywz4000, bbf, bbg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_pePe(new_lt20(ywz5000, ywz4000, bd), new_asAs(new_esEs28(ywz5000, ywz4000, bd), new_pePe(new_lt19(ywz5001, ywz4001, be), new_asAs(new_esEs27(ywz5001, ywz4001, be), new_ltEs20(ywz5002, ywz4002, bf))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbf), bbg)) -> new_esEs6(ywz5000, ywz4000, bbf, bbg) new_esEs30(ywz500, ywz400, ty_Char) -> new_esEs15(ywz500, ywz400) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfe), bff)) -> new_ltEs5(ywz5001, ywz4001, bfe, bff) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_esEs7(ywz5000, ywz4000, ff) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hb), gb) -> new_ltEs13(ywz5000, ywz4000, hb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, beh), bfa)) -> new_esEs4(ywz5001, ywz4001, beh, bfa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdd), bde)) -> new_ltEs4(ywz5000, ywz4000, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_esEs6(ywz5000, ywz4000, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, gc), gd), gb) -> new_ltEs4(ywz5000, ywz4000, gc, gd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdf), bdg), bdh)) -> new_ltEs11(ywz5000, ywz4000, bdf, bdg, bdh) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs5(ywz5001, ywz4001, bfb, bfc, bfd) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_ltEs13(ywz5000, ywz4000, bae) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_esEs30(ywz500, ywz400, ty_Double) -> new_esEs14(ywz500, ywz400) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, beg)) -> new_ltEs6(ywz5001, ywz4001, beg) new_lt19(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_lt10(ywz5001, ywz4001, dc, dd) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bcc, bcd) -> new_pePe(new_lt15(ywz5000, ywz4000, bcc), new_asAs(new_esEs26(ywz5000, ywz4000, bcc), new_ltEs19(ywz5001, ywz4001, bcd))) new_compare30(ywz5000, ywz4000, bch, bda, bdb) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bch, bda, bdb), bch, bda, bdb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bag) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fg, fh) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_esEs6(ywz5002, ywz4002, ce, cf) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_lt10(ywz5000, ywz4000, ee, ef) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], eb)) -> new_esEs17(ywz5001, ywz4001, eb) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hd, gb) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hd, gb) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, da)) -> new_esEs7(ywz5002, ywz4002, da) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(ty_Maybe, baf)) -> new_ltEs16(ywz5000, ywz4000, baf) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bdc)) -> new_esEs12(ywz5000, ywz4000, bdc) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ce), cf)) -> new_ltEs5(ywz5002, ywz4002, ce, cf) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bgb) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bef)) -> new_lt11(ywz5000, ywz4000, bef) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], cg)) -> new_esEs17(ywz5002, ywz4002, cg) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, app(app(ty_Either, bac), bad)) -> new_ltEs5(ywz5000, ywz4000, bac, bad) new_lt11(ywz5000, ywz4000, bef) -> new_esEs8(new_compare0(ywz5000, ywz4000, bef), LT) new_esEs30(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_esEs12(ywz500, ywz400, bcb) new_primCompAux00(ywz301, EQ) -> ywz301 new_esEs30(ywz500, ywz400, ty_Bool) -> new_esEs16(ywz500, ywz400) new_compare0([], [], bag) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bag)) -> new_ltEs13(ywz500, ywz400, bag) new_compare14(ywz5000, ywz4000, False, bch, bda, bdb) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bg)) -> new_ltEs6(ywz5002, ywz4002, bg) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbh)) -> new_esEs17(ywz5000, ywz4000, bbh) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_compare30(ywz5000, ywz4000, bbc, bbd, bbe) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bca)) -> new_esEs7(ywz5000, ywz4000, bca) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(app(ty_@2, hf), hg)) -> new_esEs4(ywz5000, ywz4000, hf, hg) new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_esEs4(ywz5000, ywz4000, fg, fh) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gb) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bce) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_ltEs5(ywz500, ywz400, hd, gb) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_esEs12(ywz5000, ywz4000, ed) new_esEs26(ywz5000, ywz4000, app(ty_[], bef)) -> new_esEs17(ywz5000, ywz4000, bef) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gb) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gb) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ec)) -> new_esEs7(ywz5001, ywz4001, ec) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcb)) -> new_ltEs6(ywz500, ywz400, bcb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ed)) -> new_lt9(ywz5000, ywz4000, ed) new_ltEs20(ywz5002, ywz4002, app(ty_[], cg)) -> new_ltEs13(ywz5002, ywz4002, cg) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bag) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, eg), eh), fa)) -> new_esEs5(ywz5000, ywz4000, eg, eh, fa) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fg, fh) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fg, fh), fg, fh) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bd, be, bf) -> new_asAs(new_esEs11(ywz5000, ywz4000, bd), new_asAs(new_esEs10(ywz5001, ywz4001, be), new_esEs9(ywz5002, ywz4002, bf))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_ltEs13(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_lt14(ywz5000, ywz4000, bch, bda, bdb) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gb) -> new_esEs14(ywz5000, ywz4000) new_esEs30(ywz500, ywz400, app(app(ty_Either, hd), gb)) -> new_esEs6(ywz500, ywz400, hd, gb) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_Ratio, he)) -> new_esEs12(ywz5000, ywz4000, he) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bag), bag) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bah)) -> new_compare17(ywz5000, ywz4000, bah) new_esEs22(ywz5001, ywz4001, app(ty_[], bfg)) -> new_esEs17(ywz5001, ywz4001, bfg) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gb) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, dc), dd)) -> new_esEs4(ywz5001, ywz4001, dc, dd) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, dh), ea)) -> new_esEs6(ywz5001, ywz4001, dh, ea) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs30(ywz500, ywz400, app(ty_Maybe, bce)) -> new_esEs7(ywz500, ywz400, bce) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bba), bbb)) -> new_compare18(ywz5000, ywz4000, bba, bbb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ee), ef)) -> new_esEs4(ywz5000, ywz4000, ee, ef) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hd, app(ty_[], bae)) -> new_esEs17(ywz5000, ywz4000, bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bag) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bag)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bea), beb)) -> new_ltEs5(ywz5000, ywz4000, bea, beb) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs5(ywz5000, ywz4000, bch, bda, bdb) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs30(ywz500, ywz400, ty_Int) -> new_esEs20(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, ff)) -> new_lt18(ywz5000, ywz4000, ff) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fd)) -> new_esEs17(ywz5000, ywz4000, fd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bec)) -> new_esEs17(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bee)) -> new_esEs12(ywz5000, ywz4000, bee) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fg), fh)) -> new_lt10(ywz5000, ywz4000, fg, fh) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fb), fc)) -> new_esEs6(ywz5000, ywz4000, fb, fc) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hd, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gb) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bag) -> False new_esEs17([], :(ywz4000, ywz4001), bag) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbh)) -> new_compare0(ywz5000, ywz4000, bbh) new_ltEs13(ywz500, ywz400, bag) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bag), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bag) -> new_asAs(new_esEs21(ywz5000, ywz4000, bag), new_esEs17(ywz5001, ywz4001, bag)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcf, bcg) -> LT new_lt9(ywz5000, ywz4000, bee) -> new_esEs8(new_compare17(ywz5000, ywz4000, bee), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcb), new_esEs24(ywz5001, ywz4001, bcb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, de), df), dg)) -> new_esEs5(ywz5001, ywz4001, de, df, dg) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(x0, x1, True, x2) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, ty_Char) new_esEs23(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_lt19(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Char) new_lt20(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs13(x0, x1, x2) new_primCompAux00(x0, LT) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_lt20(x0, x1, ty_Int) new_esEs7(Nothing, Nothing, x0) new_compare12(x0, x1, False, x2, x3) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_lt11(x0, x1, x2) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Left(x1), x2, x3) new_lt15(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_lt20(x0, x1, app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs20(x0, x1, ty_Integer) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs6(x0, x1, x2) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_lt19(x0, x1, app(ty_[], x2)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs11(x0, x1, ty_Int) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_compare6(Integer(x0), Integer(x1)) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare14(x0, x1, False, x2, x3, x4) new_esEs9(x0, x1, ty_Ordering) new_ltEs18(x0, x1, app(ty_[], x2)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs30(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs30(x0, x1, ty_Ordering) new_esEs17([], [], x0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, ty_Ordering) new_esEs30(x0, x1, app(ty_[], x2)) new_lt13(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, ty_Double) new_esEs10(x0, x1, app(ty_[], x2)) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare23(x0, x1, False, x2, x3) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs30(x0, x1, ty_Double) new_compare27(x0, x1, False) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs22(x0, x1, ty_Float) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_esEs8(GT, GT) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_lt19(x0, x1, ty_@0) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs20(x0, x1) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt10(x0, x1, x2, x3) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs30(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_compare18(x0, x1, x2, x3) new_compare0([], :(x0, x1), x2) new_compare13(x0, x1, True, x2) new_compare19(@0, @0) new_esEs30(x0, x1, app(ty_Ratio, x2)) new_compare31(x0, x1, x2) new_primPlusNat0(Succ(x0), Zero) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare12(x0, x1, True, x2, x3) new_compare33(x0, x1, ty_Integer) new_compare25(x0, x1, True, x2, x3, x4) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare32(x0, x1) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_ltEs16(Nothing, Nothing, x0) new_esEs21(x0, x1, ty_Bool) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt19(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_esEs26(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs30(x0, x1, ty_Bool) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_primCompAux00(x0, GT) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_esEs30(x0, x1, ty_Integer) new_lt14(x0, x1, x2, x3, x4) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs7(Just(x0), Nothing, x1) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_[], x2)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs30(x0, x1, ty_@0) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Ordering) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_compare33(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_compare0(:(x0, x1), :(x2, x3), x4) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_lt9(x0, x1, x2) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Just(x1), False, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_pePe(True, x0) new_esEs28(x0, x1, ty_Double) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Char) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs27(x0, x1, ty_@0) new_esEs30(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Nothing, Just(x0), x1) new_esEs28(x0, x1, ty_Bool) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_primMulInt(Neg(x0), Neg(x1)) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Succ(x0), Succ(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_esEs27(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_compare11(x0, x1, False) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs21(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_lt15(x0, x1, app(ty_Maybe, x2)) new_esEs17([], :(x0, x1), x2) new_esEs30(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt17(x0, x1) new_esEs30(x0, x1, ty_Char) new_sr(x0, x1) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_compare10(x0, x1, True, x2, x3) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs30(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_compare210(x0, x1, False) new_esEs18(@0, @0) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_compare30(x0, x1, x2, x3, x4) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_not(False) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs25(x0, x1, ty_Integer) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Char) new_esEs22(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_compare0([], [], x0) new_esEs9(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs23(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Double) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_compare15(x0, x1, x2, x3) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_sr0(Integer(x0), Integer(x1)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_compare23(x0, x1, True, x2, x3) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs9(x0, x1, app(ty_[], x2)) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare26(x0, x1, False, x2, x3) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(ty_Ratio, x2)) new_esEs30(x0, x1, app(ty_Maybe, x2)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs11(x0, x1, ty_Integer) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (77) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_splitGT(Branch(ywz440, ywz441, ywz442, ywz443, ywz444), h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 >= 7, 3 >= 8 *new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, False, h, ba) -> new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Just(ywz400), h), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 7 >= 7, 8 >= 8 *new_splitGT2(ywz400, ywz41, ywz42, ywz43, Branch(ywz440, ywz441, ywz442, ywz443, ywz444), True, h, ba) -> new_splitGT3(ywz440, ywz441, ywz442, ywz443, ywz444, Nothing, h, ba) The graph contains the following edges 5 > 1, 5 > 2, 5 > 3, 5 > 4, 5 > 5, 7 >= 7, 8 >= 8 *new_splitGT3(Just(ywz400), ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT2(ywz400, ywz41, ywz42, ywz43, ywz44, new_esEs8(new_compare24(Nothing, Just(ywz400), False, h), GT), h, ba) The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 7 >= 7, 8 >= 8 *new_splitGT3(Nothing, ywz41, ywz42, ywz43, ywz44, Nothing, h, ba) -> new_splitGT1(ywz41, ywz42, ywz43, ywz44, new_lt18(Nothing, Nothing, h), h, ba) The graph contains the following edges 2 >= 1, 3 >= 2, 4 >= 3, 5 >= 4, 7 >= 6, 8 >= 7 *new_splitGT10(ywz400, ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) The graph contains the following edges 4 >= 1, 7 >= 2, 8 >= 3 *new_splitGT1(ywz41, ywz42, ywz43, ywz44, True, h, ba) -> new_splitGT(ywz43, h, ba) The graph contains the following edges 3 >= 1, 6 >= 2, 7 >= 3 ---------------------------------------- (78) YES ---------------------------------------- (79) Obligation: Q DP problem: The TRS P consists of the following rules: new_plusFM_CNew_elt0(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, ywz343, ywz344, False, h, ba) -> new_plusFM_CNew_elt00(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, ywz343, ywz344, new_gt0(ywz337, ywz340, ba), h, ba) new_plusFM_CNew_elt0(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, Branch(ywz3430, ywz3431, ywz3432, ywz3433, ywz3434), ywz344, True, h, ba) -> new_plusFM_CNew_elt01(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz3430, ywz3431, ywz3432, ywz3433, ywz3434, h, ba) new_plusFM_CNew_elt01(ywz304, ywz305, ywz306, ywz307, ywz308, ywz309, ywz310, ywz311, ywz312, ywz313, ywz314, ywz315, ywz316, bd, be) -> new_plusFM_CNew_elt0(ywz304, ywz305, ywz306, ywz307, ywz308, ywz309, ywz310, ywz311, ywz312, ywz313, ywz314, ywz315, ywz316, new_lt21(ywz309, ywz312, be), bd, be) new_plusFM_CNew_elt00(ywz367, ywz368, ywz369, ywz370, ywz371, ywz372, ywz373, ywz374, ywz375, ywz376, ywz377, ywz378, ywz379, True, bb, bc) -> new_plusFM_CNew_elt02(ywz367, ywz368, ywz369, ywz370, ywz371, ywz372, ywz373, ywz374, ywz379, bb, bc) new_plusFM_CNew_elt02(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, Branch(ywz3430, ywz3431, ywz3432, ywz3433, ywz3434), h, ba) -> new_plusFM_CNew_elt01(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz3430, ywz3431, ywz3432, ywz3433, ywz3434, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, eb), ec)) -> new_lt7(ywz5001, ywz4001, eb, ec) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bhe)) -> new_esEs17(ywz5000, ywz4000, bhe) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ee)) -> new_lt18(ywz5001, ywz4001, ee) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bcc)) -> new_compare31(ywz5000, ywz4000, bcc) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt21(ywz309, ywz312, ty_Bool) -> new_lt6(ywz309, ywz312) new_gt0(ywz337, ywz340, app(app(ty_@2, bgh), bha)) -> new_esEs8(new_compare18(ywz337, ywz340, bgh, bha), GT) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bgb)) -> new_lt9(ywz5000, ywz4000, bgb) new_gt0(ywz337, ywz340, app(ty_Ratio, bgc)) -> new_esEs8(new_compare17(ywz337, ywz340, bgc), GT) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bdb) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(ty_Maybe, bah)) -> new_esEs7(ywz5000, ywz4000, bah) new_ltEs16(Just(ywz5000), Nothing, bdb) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bga)) -> new_esEs7(ywz5000, ywz4000, bga) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bhf)) -> new_esEs12(ywz5001, ywz4001, bhf) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fh)) -> new_esEs7(ywz5000, ywz4000, fh) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_lt21(ywz309, ywz312, app(ty_Ratio, bdf)) -> new_lt9(ywz309, ywz312, bdf) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, cag)) -> new_ltEs16(ywz5001, ywz4001, cag) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hf, gd) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, cd), ce), cf)) -> new_ltEs11(ywz5002, ywz4002, cd, ce, cf) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, bcf) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_gt0(ywz337, ywz340, ty_Integer) -> new_esEs8(new_compare6(ywz337, ywz340), GT) new_ltEs18(ywz500, ywz400, app(app(ty_@2, bch), bda)) -> new_ltEs4(ywz500, ywz400, bch, bda) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, gd) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], ed)) -> new_esEs17(ywz5001, ywz4001, ed) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt21(ywz309, ywz312, ty_Integer) -> new_lt4(ywz309, ywz312) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, he), gd) -> new_esEs7(ywz5000, ywz4000, he) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, ef)) -> new_esEs12(ywz5000, ywz4000, ef) new_lt10(ywz5000, ywz4000, ga, gb) -> new_esEs8(new_compare18(ywz5000, ywz4000, ga, gb), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bfc), bfd), bfe)) -> new_esEs5(ywz5000, ywz4000, bfc, bfd, bfe) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], hd), gd) -> new_esEs17(ywz5000, ywz4000, hd) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gg), gh), ha), gd) -> new_ltEs11(ywz5000, ywz4000, gg, gh, ha) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_gt0(ywz337, ywz340, ty_Double) -> new_esEs8(new_compare7(ywz337, ywz340), GT) new_compare14(ywz5000, ywz4000, True, bdc, bdd, bde) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, dd)) -> new_esEs12(ywz5001, ywz4001, dd) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(app(app(ty_@3, bab), bac), bad)) -> new_ltEs11(ywz5000, ywz4000, bab, bac, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, gc), gd) -> new_ltEs6(ywz5000, ywz4000, gc) new_lt21(ywz309, ywz312, ty_Char) -> new_lt16(ywz309, ywz312) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bch, bda) -> new_asAs(new_esEs23(ywz5000, ywz4000, bch), new_esEs22(ywz5001, ywz4001, bda)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_gt0(ywz337, ywz340, ty_Char) -> new_esEs8(new_compare29(ywz337, ywz340), GT) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, ga, gb) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, caa), cab), cac)) -> new_ltEs11(ywz5001, ywz4001, caa, cab, cac) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, gd) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, fd), ff)) -> new_lt7(ywz5000, ywz4000, fd, ff) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, ca)) -> new_esEs12(ywz5002, ywz4002, ca) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, dd)) -> new_lt9(ywz5001, ywz4001, dd) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, hb), hc), gd) -> new_ltEs5(ywz5000, ywz4000, hb, hc) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, cba) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dg), dh), ea)) -> new_lt14(ywz5001, ywz4001, dg, dh, ea) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bf), bg), bh)) -> new_ltEs11(ywz500, ywz400, bf, bg, bh) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, cb), cc)) -> new_ltEs4(ywz5002, ywz4002, cb, cc) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, gd) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_gt0(ywz337, ywz340, ty_Bool) -> new_esEs8(new_compare9(ywz337, ywz340), GT) new_compare25(ywz5000, ywz4000, False, bdc, bdd, bde) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bdc, bdd, bde), bdc, bdd, bde) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bdc, bdd, bde) -> new_esEs8(new_compare30(ywz5000, ywz4000, bdc, bdd, bde), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, fa), fb), fc)) -> new_lt14(ywz5000, ywz4000, fa, fb, fc) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gg), gh), ha), gd) -> new_esEs5(ywz5000, ywz4000, gg, gh, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(ty_Ratio, hg)) -> new_ltEs6(ywz5000, ywz4000, hg) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], caf)) -> new_ltEs13(ywz5001, ywz4001, caf) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bhg), bhh)) -> new_ltEs4(ywz5001, ywz4001, bhg, bhh) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs5(ywz5000, ywz4000, bbe, bbf, bbg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, gd) -> new_ltEs10(ywz5000, ywz4000) new_gt0(ywz337, ywz340, app(ty_[], bgg)) -> new_esEs8(new_compare0(ywz337, ywz340, bgg), GT) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bdb) -> False new_esEs7(Just(ywz5000), Nothing, bdb) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, cad), cae)) -> new_esEs6(ywz5001, ywz4001, cad, cae) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bdb)) -> new_ltEs16(ywz500, ywz400, bdb) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ee)) -> new_esEs7(ywz5001, ywz4001, ee) new_compare23(ywz5000, ywz4000, False, ga, gb) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, ga, gb), ga, gb) new_esEs17([], [], bba) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fg)) -> new_lt11(ywz5000, ywz4000, fg) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(app(ty_@2, hh), baa)) -> new_ltEs4(ywz5000, ywz4000, hh, baa) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, gd) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, ga, gb) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_lt21(ywz309, ywz312, app(app(app(ty_@3, bee), bef), beg)) -> new_lt14(ywz309, ywz312, bee, bef, beg) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bbc), bbd)) -> new_esEs4(ywz5000, ywz4000, bbc, bbd) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bdb) -> True new_compare24(ywz50, ywz40, True, bcf) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_gt0(ywz337, ywz340, ty_Ordering) -> new_esEs8(new_compare32(ywz337, ywz340), GT) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs5(ywz5000, ywz4000, fa, fb, fc) new_compare25(ywz5000, ywz4000, True, bdc, bdd, bde) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bbb)) -> new_esEs12(ywz5000, ywz4000, bbb) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_lt21(ywz309, ywz312, ty_@0) -> new_lt12(ywz309, ywz312) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, cb), cc)) -> new_esEs4(ywz5002, ywz4002, cb, cc) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, hb), hc), gd) -> new_esEs6(ywz5000, ywz4000, hb, hc) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, dd)) -> new_esEs12(ywz5001, ywz4001, dd) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, de), df)) -> new_esEs4(ywz5001, ywz4001, de, df) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, beh)) -> new_ltEs6(ywz5000, ywz4000, beh) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, eb), ec)) -> new_esEs6(ywz5001, ywz4001, eb, ec) new_gt(ywz50, ywz40, bcf) -> new_esEs8(new_compare31(ywz50, ywz40, bcf), GT) new_ltEs6(ywz500, ywz400, bcg) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bcg), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs5(ywz5000, ywz4000, bdc, bdd, bde) new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs5(ywz5000, ywz4000, bab, bac, bad) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, cag)) -> new_esEs7(ywz5001, ywz4001, cag) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, cah)) -> new_esEs7(ywz5000, ywz4000, cah) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, bcf) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fg)) -> new_esEs17(ywz5000, ywz4000, fg) new_lt19(ywz5001, ywz4001, app(ty_[], ed)) -> new_lt11(ywz5001, ywz4001, ed) new_compare24(Just(ywz500), Just(ywz400), False, bcf) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, bcf), bcf) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bff), bfg)) -> new_esEs6(ywz5000, ywz4000, bff, bfg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, he), gd) -> new_ltEs16(ywz5000, ywz4000, he) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, eg), eh)) -> new_esEs4(ywz5000, ywz4000, eg, eh) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, dc)) -> new_ltEs16(ywz5002, ywz4002, dc) new_lt18(ywz50, ywz40, bcf) -> new_esEs8(new_compare31(ywz50, ywz40, bcf), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bfa), bfb)) -> new_esEs4(ywz5000, ywz4000, bfa, bfb) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, fd), ff)) -> new_esEs6(ywz5000, ywz4000, fd, ff) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt21(ywz309, ywz312, app(app(ty_@2, bec), bed)) -> new_lt10(ywz309, ywz312, bec, bed) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, gc), gd) -> new_esEs12(ywz5000, ywz4000, gc) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_gt0(ywz337, ywz340, ty_Float) -> new_esEs8(new_compare28(ywz337, ywz340), GT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bga)) -> new_ltEs16(ywz5000, ywz4000, bga) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, cd), ce), cf)) -> new_esEs5(ywz5002, ywz4002, cd, ce, cf) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, cah)) -> new_lt18(ywz5000, ywz4000, cah) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbh), bca)) -> new_compare15(ywz5000, ywz4000, bbh, bca) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs5(ywz5001, ywz4001, dg, dh, ea) new_gt0(ywz337, ywz340, ty_Int) -> new_gt1(ywz337, ywz340) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bf, bg, bh) -> new_pePe(new_lt20(ywz5000, ywz4000, bf), new_asAs(new_esEs28(ywz5000, ywz4000, bf), new_pePe(new_lt19(ywz5001, ywz4001, bg), new_asAs(new_esEs27(ywz5001, ywz4001, bg), new_ltEs20(ywz5002, ywz4002, bh))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, ga), gb)) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbh), bca)) -> new_esEs6(ywz5000, ywz4000, bbh, bca) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, cad), cae)) -> new_ltEs5(ywz5001, ywz4001, cad, cae) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, gd) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fh)) -> new_esEs7(ywz5000, ywz4000, fh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], hd), gd) -> new_ltEs13(ywz5000, ywz4000, hd) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, gd) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ge), gf), gd) -> new_esEs4(ywz5000, ywz4000, ge, gf) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bhg), bhh)) -> new_esEs4(ywz5001, ywz4001, bhg, bhh) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bfa), bfb)) -> new_ltEs4(ywz5000, ywz4000, bfa, bfb) new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(app(ty_Either, bae), baf)) -> new_esEs6(ywz5000, ywz4000, bae, baf) new_lt21(ywz309, ywz312, ty_Float) -> new_lt13(ywz309, ywz312) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ge), gf), gd) -> new_ltEs4(ywz5000, ywz4000, ge, gf) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, gd) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bfc), bfd), bfe)) -> new_ltEs11(ywz5000, ywz4000, bfc, bfd, bfe) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, caa), cab), cac)) -> new_esEs5(ywz5001, ywz4001, caa, cab, cac) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(ty_[], bag)) -> new_ltEs13(ywz5000, ywz4000, bag) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_gt0(ywz337, ywz340, app(app(ty_Either, bgd), bge)) -> new_esEs8(new_compare15(ywz337, ywz340, bgd, bge), GT) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bhf)) -> new_ltEs6(ywz5001, ywz4001, bhf) new_lt19(ywz5001, ywz4001, app(app(ty_@2, de), df)) -> new_lt10(ywz5001, ywz4001, de, df) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bch, bda) -> new_pePe(new_lt15(ywz5000, ywz4000, bch), new_asAs(new_esEs26(ywz5000, ywz4000, bch), new_ltEs19(ywz5001, ywz4001, bda))) new_compare30(ywz5000, ywz4000, bdc, bdd, bde) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bdc, bdd, bde), bdc, bdd, bde) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bba) -> LT new_gt0(ywz337, ywz340, app(app(app(ty_@3, bhb), bhc), bhd)) -> new_esEs8(new_compare30(ywz337, ywz340, bhb, bhc, bhd), GT) new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hf, gd) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, ga, gb) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cg), da)) -> new_esEs6(ywz5002, ywz4002, cg, da) new_lt20(ywz5000, ywz4000, app(app(ty_@2, eg), eh)) -> new_lt10(ywz5000, ywz4000, eg, eh) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], ed)) -> new_esEs17(ywz5001, ywz4001, ed) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hf, gd) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hf, gd) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, dc)) -> new_esEs7(ywz5002, ywz4002, dc) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(ty_Maybe, bah)) -> new_ltEs16(ywz5000, ywz4000, bah) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, beh)) -> new_esEs12(ywz5000, ywz4000, beh) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cg), da)) -> new_ltEs5(ywz5002, ywz4002, cg, da) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, cba) -> LT new_lt21(ywz309, ywz312, app(ty_[], beb)) -> new_lt11(ywz309, ywz312, beb) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bhe)) -> new_lt11(ywz5000, ywz4000, bhe) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], db)) -> new_esEs17(ywz5002, ywz4002, db) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, app(app(ty_Either, bae), baf)) -> new_ltEs5(ywz5000, ywz4000, bae, baf) new_lt11(ywz5000, ywz4000, bhe) -> new_esEs8(new_compare0(ywz5000, ywz4000, bhe), LT) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bba) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, bcf) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, bcf), bcf) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, gd) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bba)) -> new_ltEs13(ywz500, ywz400, bba) new_compare14(ywz5000, ywz4000, False, bdc, bdd, bde) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, ca)) -> new_ltEs6(ywz5002, ywz4002, ca) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_gt1(ywz244, ywz243) -> new_esEs8(new_compare8(ywz244, ywz243), GT) new_lt21(ywz309, ywz312, ty_Int) -> new_lt8(ywz309, ywz312) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bcb)) -> new_esEs17(ywz5000, ywz4000, bcb) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_compare30(ywz5000, ywz4000, bbe, bbf, bbg) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bcc)) -> new_esEs7(ywz5000, ywz4000, bcc) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(app(ty_@2, hh), baa)) -> new_esEs4(ywz5000, ywz4000, hh, baa) new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, ga), gb)) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, gd) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bdb) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hf, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hf), gd)) -> new_ltEs5(ywz500, ywz400, hf, gd) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, ef)) -> new_esEs12(ywz5000, ywz4000, ef) new_esEs26(ywz5000, ywz4000, app(ty_[], bhe)) -> new_esEs17(ywz5000, ywz4000, bhe) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, gd) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, cah)) -> new_esEs7(ywz5000, ywz4000, cah) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt21(ywz309, ywz312, ty_Ordering) -> new_lt17(ywz309, ywz312) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bgb)) -> new_esEs12(ywz5000, ywz4000, bgb) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, gd) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ee)) -> new_esEs7(ywz5001, ywz4001, ee) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bcg)) -> new_ltEs6(ywz500, ywz400, bcg) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, ef)) -> new_lt9(ywz5000, ywz4000, ef) new_ltEs20(ywz5002, ywz4002, app(ty_[], db)) -> new_ltEs13(ywz5002, ywz4002, db) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt21(ywz309, ywz312, ty_Double) -> new_lt5(ywz309, ywz312) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bba) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, fa), fb), fc)) -> new_esEs5(ywz5000, ywz4000, fa, fb, fc) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, ga, gb) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, ga, gb), ga, gb) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bf, bg, bh) -> new_asAs(new_esEs11(ywz5000, ywz4000, bf), new_asAs(new_esEs10(ywz5001, ywz4001, bg), new_esEs9(ywz5002, ywz4002, bh))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bfh)) -> new_ltEs13(ywz5000, ywz4000, bfh) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bdc), bdd), bde)) -> new_lt14(ywz5000, ywz4000, bdc, bdd, bde) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, gd) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(ty_Ratio, hg)) -> new_esEs12(ywz5000, ywz4000, hg) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bba) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bba), bba) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bbb)) -> new_compare17(ywz5000, ywz4000, bbb) new_esEs22(ywz5001, ywz4001, app(ty_[], caf)) -> new_esEs17(ywz5001, ywz4001, caf) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, gd) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, gd) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, de), df)) -> new_esEs4(ywz5001, ywz4001, de, df) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, eb), ec)) -> new_esEs6(ywz5001, ywz4001, eb, ec) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_lt21(ywz309, ywz312, app(ty_Maybe, bea)) -> new_lt18(ywz309, ywz312, bea) new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bbc), bbd)) -> new_compare18(ywz5000, ywz4000, bbc, bbd) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, eg), eh)) -> new_esEs4(ywz5000, ywz4000, eg, eh) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hf, app(ty_[], bag)) -> new_esEs17(ywz5000, ywz4000, bag) new_primCompAux0(ywz5000, ywz4000, ywz253, bba) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bba)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bff), bfg)) -> new_ltEs5(ywz5000, ywz4000, bff, bfg) new_lt21(ywz309, ywz312, app(app(ty_Either, bdg), bdh)) -> new_lt7(ywz309, ywz312, bdg, bdh) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bdc), bdd), bde)) -> new_esEs5(ywz5000, ywz4000, bdc, bdd, bde) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fh)) -> new_lt18(ywz5000, ywz4000, fh) new_gt0(ywz337, ywz340, app(ty_Maybe, bgf)) -> new_gt(ywz337, ywz340, bgf) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fg)) -> new_esEs17(ywz5000, ywz4000, fg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bfh)) -> new_esEs17(ywz5000, ywz4000, bfh) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bgb)) -> new_esEs12(ywz5000, ywz4000, bgb) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, ga), gb)) -> new_lt10(ywz5000, ywz4000, ga, gb) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, fd), ff)) -> new_esEs6(ywz5000, ywz4000, fd, ff) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hf, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, gd) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bba) -> False new_esEs17([], :(ywz4000, ywz4001), bba) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bcb)) -> new_compare0(ywz5000, ywz4000, bcb) new_ltEs13(ywz500, ywz400, bba) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bba), GT)) new_compare24(Nothing, Nothing, False, bcf) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bba) -> new_asAs(new_esEs21(ywz5000, ywz4000, bba), new_esEs17(ywz5001, ywz4001, bba)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_lt9(ywz5000, ywz4000, bgb) -> new_esEs8(new_compare17(ywz5000, ywz4000, bgb), LT) new_gt0(ywz337, ywz340, ty_@0) -> new_esEs8(new_compare19(ywz337, ywz340), GT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bcg) -> new_asAs(new_esEs25(ywz5000, ywz4000, bcg), new_esEs24(ywz5001, ywz4001, bcg)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dg), dh), ea)) -> new_esEs5(ywz5001, ywz4001, dg, dh, ea) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_primCompAux0(x0, x1, x2, x3) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_gt0(x0, x1, ty_Float) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs21(x0, x1, ty_Integer) new_esEs28(x0, x1, app(ty_[], x2)) new_lt7(x0, x1, x2, x3) new_lt15(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_lt21(x0, x1, ty_Integer) new_primCompAux00(x0, LT) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(Just(x0), Just(x1), False, x2) new_lt20(x0, x1, ty_Int) new_esEs17([], [], x0) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_gt0(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Neg(Zero), Neg(Zero)) new_compare25(x0, x1, False, x2, x3, x4) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_lt15(x0, x1, ty_Integer) new_esEs17(:(x0, x1), :(x2, x3), x4) new_lt19(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, app(ty_[], x2)) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt21(x0, x1, ty_Bool) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare33(x0, x1, ty_Bool) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_gt0(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Zero, x0) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_compare8(x0, x1) new_lt20(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare0(:(x0, x1), [], x2) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_compare33(x0, x1, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_compare10(x0, x1, True, x2, x3) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_lt21(x0, x1, app(ty_Maybe, x2)) new_compare24(Nothing, Just(x0), False, x1) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_gt0(x0, x1, app(app(ty_@2, x2), x3)) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_ltEs13(x0, x1, x2) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(ty_[], x2)) new_lt21(x0, x1, app(app(ty_Either, x2), x3)) new_compare24(Nothing, Nothing, False, x0) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare26(x0, x1, True, x2, x3) new_lt10(x0, x1, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs8(x0, x1) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_@0) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_compare14(x0, x1, False, x2, x3, x4) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_lt21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, ty_Double) new_lt6(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs21(x0, x1, app(ty_[], x2)) new_lt14(x0, x1, x2, x3, x4) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_compare12(x0, x1, True, x2, x3) new_compare27(x0, x1, False) new_compare13(x0, x1, True, x2) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs22(x0, x1, ty_Float) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs10(x0, x1, ty_Float) new_lt21(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Integer) new_lt15(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_esEs10(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_lt21(x0, x1, ty_Ordering) new_ltEs20(x0, x1, ty_@0) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_primCmpNat2(Zero, Succ(x0)) new_compare10(x0, x1, False, x2, x3) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs10(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_ltEs16(Nothing, Nothing, x0) new_esEs20(x0, x1) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_lt11(x0, x1, x2) new_compare19(@0, @0) new_gt0(x0, x1, app(ty_Maybe, x2)) new_primPlusNat0(Succ(x0), Zero) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_gt0(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Nothing, Nothing, x0) new_compare23(x0, x1, False, x2, x3) new_lt9(x0, x1, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_compare25(x0, x1, True, x2, x3, x4) new_compare33(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare0([], :(x0, x1), x2) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs21(x0, x1, ty_Bool) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_compare30(x0, x1, x2, x3, x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Float) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_gt0(x0, x1, ty_Int) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare18(x0, x1, x2, x3) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs26(x0, x1, ty_@0) new_lt21(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_gt0(x0, x1, ty_Char) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux00(x0, GT) new_ltEs18(x0, x1, app(ty_[], x2)) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_gt0(x0, x1, ty_Ordering) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs17([], :(x0, x1), x2) new_esEs22(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs27(x0, x1, ty_Bool) new_lt18(x0, x1, x2) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_compare24(x0, x1, True, x2) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Zero, Zero) new_ltEs6(x0, x1, x2) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_esEs17(:(x0, x1), [], x2) new_lt21(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs12(True, True) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, ty_Double) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_lt21(x0, x1, ty_Double) new_compare23(x0, x1, True, x2, x3) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_esEs11(x0, x1, app(ty_[], x2)) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, ty_Bool) new_gt0(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_compare24(Just(x0), Nothing, False, x1) new_lt21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_gt0(x0, x1, ty_Double) new_gt1(x0, x1) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs27(x0, x1, ty_@0) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Bool) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_ltEs15(x0, x1) new_primMulInt(Neg(x0), Neg(x1)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs27(x0, x1, ty_Float) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt19(x0, x1, ty_Bool) new_compare15(x0, x1, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, ty_Ordering) new_compare11(x0, x1, False) new_esEs7(Nothing, Just(x0), x1) new_ltEs16(Nothing, Just(x0), x1) new_primPlusNat1(Succ(x0), x1) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, app(ty_Maybe, x2)) new_asAs(False, x0) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Double) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_lt21(x0, x1, ty_Char) new_lt17(x0, x1) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare0(:(x0, x1), :(x2, x3), x4) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Float) new_compare31(x0, x1, x2) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_gt0(x0, x1, ty_@0) new_esEs7(Just(x0), Just(x1), ty_@0) new_lt19(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_compare16(x0, x1, False) new_lt21(x0, x1, ty_Int) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(ty_[], x2)) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, app(ty_[], x2)) new_lt5(x0, x1) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_compare210(x0, x1, False) new_gt0(x0, x1, ty_Integer) new_esEs18(@0, @0) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_esEs11(x0, x1, ty_Bool) new_gt(x0, x1, x2) new_primCmpNat0(x0, Zero) new_ltEs16(Just(x0), Nothing, x1) new_not(False) new_esEs25(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Char) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_lt21(x0, x1, ty_Float) new_lt20(x0, x1, app(ty_[], x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_esEs7(Just(x0), Nothing, x1) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_compare13(x0, x1, False, x2) new_esEs23(x0, x1, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_lt20(x0, x1, app(ty_Ratio, x2)) new_sr0(Integer(x0), Integer(x1)) new_compare29(Char(x0), Char(x1)) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs9(x0, x1, ty_Int) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_lt19(x0, x1, app(ty_[], x2)) new_primPlusNat0(Zero, Succ(x0)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_compare0([], [], x0) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_@0) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Integer) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_gt0(x0, x1, app(ty_Ratio, x2)) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (80) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_plusFM_CNew_elt00(ywz367, ywz368, ywz369, ywz370, ywz371, ywz372, ywz373, ywz374, ywz375, ywz376, ywz377, ywz378, ywz379, True, bb, bc) -> new_plusFM_CNew_elt02(ywz367, ywz368, ywz369, ywz370, ywz371, ywz372, ywz373, ywz374, ywz379, bb, bc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 13 >= 9, 15 >= 10, 16 >= 11 *new_plusFM_CNew_elt01(ywz304, ywz305, ywz306, ywz307, ywz308, ywz309, ywz310, ywz311, ywz312, ywz313, ywz314, ywz315, ywz316, bd, be) -> new_plusFM_CNew_elt0(ywz304, ywz305, ywz306, ywz307, ywz308, ywz309, ywz310, ywz311, ywz312, ywz313, ywz314, ywz315, ywz316, new_lt21(ywz309, ywz312, be), bd, be) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 13 >= 13, 14 >= 15, 15 >= 16 *new_plusFM_CNew_elt0(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, Branch(ywz3430, ywz3431, ywz3432, ywz3433, ywz3434), ywz344, True, h, ba) -> new_plusFM_CNew_elt01(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz3430, ywz3431, ywz3432, ywz3433, ywz3434, h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 12 > 9, 12 > 10, 12 > 11, 12 > 12, 12 > 13, 15 >= 14, 16 >= 15 *new_plusFM_CNew_elt0(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, ywz343, ywz344, False, h, ba) -> new_plusFM_CNew_elt00(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz340, ywz341, ywz342, ywz343, ywz344, new_gt0(ywz337, ywz340, ba), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10, 11 >= 11, 12 >= 12, 13 >= 13, 15 >= 15, 16 >= 16 *new_plusFM_CNew_elt02(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, Branch(ywz3430, ywz3431, ywz3432, ywz3433, ywz3434), h, ba) -> new_plusFM_CNew_elt01(ywz332, ywz333, ywz334, ywz335, ywz336, ywz337, ywz338, ywz339, ywz3430, ywz3431, ywz3432, ywz3433, ywz3434, h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 > 9, 9 > 10, 9 > 11, 9 > 12, 9 > 13, 10 >= 14, 11 >= 15 ---------------------------------------- (81) YES ---------------------------------------- (82) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_gt(ywz50, ywz740, h), h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bcc) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bfh) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs17([], [], bae) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_gt(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), GT) new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bfh) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bae) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_gt(x0, x1, x2) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (83) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_gt(ywz50, ywz740, h), h, ba) at position [7] we obtained the following new rules [LPAR04]: (new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba),new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba)) ---------------------------------------- (84) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bcc) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, h) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bfh) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs17([], [], bae) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_compare24(ywz50, ywz40, True, h) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_gt(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), GT) new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, h) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bfh) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bae) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare24(Nothing, Nothing, False, h) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_gt(x0, x1, x2) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (85) UsableRulesProof (EQUIVALENT) As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R. ---------------------------------------- (86) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba) The TRS R consists of the following rules: new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs8(GT, GT) -> True new_esEs8(LT, GT) -> False new_esEs8(EQ, GT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_compare24(ywz50, ywz40, True, h) -> EQ new_compare24(Just(ywz500), Nothing, False, h) -> GT new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_compare24(Nothing, Nothing, False, h) -> LT new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_compare13(ywz109, ywz110, False, bfh) -> GT new_compare13(ywz109, ywz110, True, bfh) -> LT new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_not(True) -> False new_not(False) -> True new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primCmpNat2(Zero, Zero) -> EQ new_primCmpNat0(ywz50000, Zero) -> GT new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primPlusNat0(Zero, Zero) -> Zero new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Nothing, Nothing, bcc) -> True new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(GT, LT) -> False new_ltEs10(EQ, LT) -> False new_ltEs10(GT, EQ) -> False new_ltEs10(LT, LT) -> True new_ltEs10(GT, GT) -> True new_ltEs10(LT, EQ) -> True new_ltEs10(EQ, GT) -> True new_ltEs10(EQ, EQ) -> True new_ltEs10(LT, GT) -> True new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_compare0([], [], bae) -> EQ new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_primCompAux00(ywz301, LT) -> LT new_primCompAux00(ywz301, GT) -> GT new_primCompAux00(ywz301, EQ) -> ywz301 new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_asAs(True, ywz116) -> ywz116 new_asAs(False, ywz116) -> False new_pePe(True, ywz188) -> True new_pePe(False, ywz188) -> ywz188 new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare19(@0, @0) -> EQ new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_ltEs12(False, True) -> True new_ltEs12(True, True) -> True new_ltEs12(True, False) -> False new_ltEs12(False, False) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_primEqNat0(Zero, Zero) -> True new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs17([], [], bae) -> True new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_esEs18(@0, @0) -> True new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs16(True, True) -> True new_esEs16(False, False) -> True new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs8(EQ, EQ) -> True new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs8(LT, LT) -> True new_esEs8(GT, LT) -> False new_esEs8(GT, EQ) -> False new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, True) -> EQ new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_compare16(ywz5000, ywz4000, False) -> GT new_compare16(ywz5000, ywz4000, True) -> LT new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare11(ywz5000, ywz4000, False) -> GT new_compare11(ywz5000, ywz4000, True) -> LT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_gt(x0, x1, x2) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (87) QReductionProof (EQUIVALENT) We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN]. new_gt(x0, x1, x2) ---------------------------------------- (88) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba) The TRS R consists of the following rules: new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs8(GT, GT) -> True new_esEs8(LT, GT) -> False new_esEs8(EQ, GT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_compare24(ywz50, ywz40, True, h) -> EQ new_compare24(Just(ywz500), Nothing, False, h) -> GT new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_compare24(Nothing, Nothing, False, h) -> LT new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_compare13(ywz109, ywz110, False, bfh) -> GT new_compare13(ywz109, ywz110, True, bfh) -> LT new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_not(True) -> False new_not(False) -> True new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primCmpNat2(Zero, Zero) -> EQ new_primCmpNat0(ywz50000, Zero) -> GT new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primPlusNat0(Zero, Zero) -> Zero new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Nothing, Nothing, bcc) -> True new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(GT, LT) -> False new_ltEs10(EQ, LT) -> False new_ltEs10(GT, EQ) -> False new_ltEs10(LT, LT) -> True new_ltEs10(GT, GT) -> True new_ltEs10(LT, EQ) -> True new_ltEs10(EQ, GT) -> True new_ltEs10(EQ, EQ) -> True new_ltEs10(LT, GT) -> True new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_compare0([], [], bae) -> EQ new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_primCompAux00(ywz301, LT) -> LT new_primCompAux00(ywz301, GT) -> GT new_primCompAux00(ywz301, EQ) -> ywz301 new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_asAs(True, ywz116) -> ywz116 new_asAs(False, ywz116) -> False new_pePe(True, ywz188) -> True new_pePe(False, ywz188) -> ywz188 new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare19(@0, @0) -> EQ new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_ltEs12(False, True) -> True new_ltEs12(True, True) -> True new_ltEs12(True, False) -> False new_ltEs12(False, False) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_primEqNat0(Zero, Zero) -> True new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs17([], [], bae) -> True new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_esEs18(@0, @0) -> True new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs16(True, True) -> True new_esEs16(False, False) -> True new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs8(EQ, EQ) -> True new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs8(LT, LT) -> True new_esEs8(GT, LT) -> False new_esEs8(GT, EQ) -> False new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, True) -> EQ new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_compare16(ywz5000, ywz4000, False) -> GT new_compare16(ywz5000, ywz4000, True) -> LT new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare11(ywz5000, ywz4000, False) -> GT new_compare11(ywz5000, ywz4000, True) -> LT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (89) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_lt18(ywz50, ywz740, h), h, ba) at position [7] we obtained the following new rules [LPAR04]: (new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), LT), h, ba),new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), LT), h, ba)) ---------------------------------------- (90) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), LT), h, ba) The TRS R consists of the following rules: new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs8(GT, GT) -> True new_esEs8(LT, GT) -> False new_esEs8(EQ, GT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_compare24(ywz50, ywz40, True, h) -> EQ new_compare24(Just(ywz500), Nothing, False, h) -> GT new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_compare24(Nothing, Nothing, False, h) -> LT new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_compare13(ywz109, ywz110, False, bfh) -> GT new_compare13(ywz109, ywz110, True, bfh) -> LT new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_not(True) -> False new_not(False) -> True new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primCmpNat2(Zero, Zero) -> EQ new_primCmpNat0(ywz50000, Zero) -> GT new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primPlusNat0(Zero, Zero) -> Zero new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Nothing, Nothing, bcc) -> True new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(GT, LT) -> False new_ltEs10(EQ, LT) -> False new_ltEs10(GT, EQ) -> False new_ltEs10(LT, LT) -> True new_ltEs10(GT, GT) -> True new_ltEs10(LT, EQ) -> True new_ltEs10(EQ, GT) -> True new_ltEs10(EQ, EQ) -> True new_ltEs10(LT, GT) -> True new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_compare0([], [], bae) -> EQ new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_primCompAux00(ywz301, LT) -> LT new_primCompAux00(ywz301, GT) -> GT new_primCompAux00(ywz301, EQ) -> ywz301 new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_asAs(True, ywz116) -> ywz116 new_asAs(False, ywz116) -> False new_pePe(True, ywz188) -> True new_pePe(False, ywz188) -> ywz188 new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare19(@0, @0) -> EQ new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_ltEs12(False, True) -> True new_ltEs12(True, True) -> True new_ltEs12(True, False) -> False new_ltEs12(False, False) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_primEqNat0(Zero, Zero) -> True new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs17([], [], bae) -> True new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_esEs18(@0, @0) -> True new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs16(True, True) -> True new_esEs16(False, False) -> True new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs8(EQ, EQ) -> True new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs8(LT, LT) -> True new_esEs8(GT, LT) -> False new_esEs8(GT, EQ) -> False new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, True) -> EQ new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_compare16(ywz5000, ywz4000, False) -> GT new_compare16(ywz5000, ywz4000, True) -> LT new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare11(ywz5000, ywz4000, False) -> GT new_compare11(ywz5000, ywz4000, True) -> LT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (91) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), GT), h, ba) at position [7,0] we obtained the following new rules [LPAR04]: (new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), GT), h, ba),new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), GT), h, ba)) ---------------------------------------- (92) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), LT), h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), GT), h, ba) The TRS R consists of the following rules: new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs8(GT, GT) -> True new_esEs8(LT, GT) -> False new_esEs8(EQ, GT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_compare24(ywz50, ywz40, True, h) -> EQ new_compare24(Just(ywz500), Nothing, False, h) -> GT new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_compare24(Nothing, Nothing, False, h) -> LT new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_compare13(ywz109, ywz110, False, bfh) -> GT new_compare13(ywz109, ywz110, True, bfh) -> LT new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_not(True) -> False new_not(False) -> True new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primCmpNat2(Zero, Zero) -> EQ new_primCmpNat0(ywz50000, Zero) -> GT new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primPlusNat0(Zero, Zero) -> Zero new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Nothing, Nothing, bcc) -> True new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(GT, LT) -> False new_ltEs10(EQ, LT) -> False new_ltEs10(GT, EQ) -> False new_ltEs10(LT, LT) -> True new_ltEs10(GT, GT) -> True new_ltEs10(LT, EQ) -> True new_ltEs10(EQ, GT) -> True new_ltEs10(EQ, EQ) -> True new_ltEs10(LT, GT) -> True new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_compare0([], [], bae) -> EQ new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_primCompAux00(ywz301, LT) -> LT new_primCompAux00(ywz301, GT) -> GT new_primCompAux00(ywz301, EQ) -> ywz301 new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_asAs(True, ywz116) -> ywz116 new_asAs(False, ywz116) -> False new_pePe(True, ywz188) -> True new_pePe(False, ywz188) -> ywz188 new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare19(@0, @0) -> EQ new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_ltEs12(False, True) -> True new_ltEs12(True, True) -> True new_ltEs12(True, False) -> False new_ltEs12(False, False) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_primEqNat0(Zero, Zero) -> True new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs17([], [], bae) -> True new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_esEs18(@0, @0) -> True new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs16(True, True) -> True new_esEs16(False, False) -> True new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs8(EQ, EQ) -> True new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs8(LT, LT) -> True new_esEs8(GT, LT) -> False new_esEs8(GT, EQ) -> False new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, True) -> EQ new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_compare16(ywz5000, ywz4000, False) -> GT new_compare16(ywz5000, ywz4000, True) -> LT new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare11(ywz5000, ywz4000, False) -> GT new_compare11(ywz5000, ywz4000, True) -> LT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (93) TransformationProof (EQUIVALENT) By rewriting [LPAR04] the rule new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare31(ywz50, ywz740, h), LT), h, ba) at position [7,0] we obtained the following new rules [LPAR04]: (new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), LT), h, ba),new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), LT), h, ba)) ---------------------------------------- (94) Obligation: Q DP problem: The TRS P consists of the following rules: new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), GT), h, ba) new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), LT), h, ba) The TRS R consists of the following rules: new_compare31(ywz50, ywz40, h) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, h), h) new_esEs8(GT, GT) -> True new_esEs8(LT, GT) -> False new_esEs8(EQ, GT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs7(ywz5000, ywz4000, beb) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs6(ywz5000, ywz4000, bdg, bdh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_esEs7(ywz5000, ywz4000, bad) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_esEs7(ywz5000, ywz4000, ha) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_esEs6(ywz5000, ywz4000, gf, gg) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_esEs6(ywz5000, ywz4000, baa, bab) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs5(ywz5000, ywz4000, bdd, bde, bdf) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Nothing, Just(ywz4000), bcc) -> False new_esEs7(Just(ywz5000), Nothing, bcc) -> False new_esEs7(Nothing, Nothing, bcc) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs4(ywz5000, ywz4000, bdb, bdc) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_esEs12(ywz5000, ywz4000, bda) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs17(ywz5000, ywz4000, bea) new_compare24(Nothing, Just(ywz400), False, h) -> LT new_compare24(ywz50, ywz40, True, h) -> EQ new_compare24(Just(ywz500), Nothing, False, h) -> GT new_compare24(Just(ywz500), Just(ywz400), False, h) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, h), h) new_compare24(Nothing, Nothing, False, h) -> LT new_ltEs18(ywz500, ywz400, app(app(ty_@2, bca), bcb)) -> new_ltEs4(ywz500, ywz400, bca, bcb) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, bb), bc), bd)) -> new_ltEs11(ywz500, ywz400, bb, bc, bd) new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bcc)) -> new_ltEs16(ywz500, ywz400, bcc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_ltEs18(ywz500, ywz400, app(ty_[], bae)) -> new_ltEs13(ywz500, ywz400, bae) new_ltEs18(ywz500, ywz400, app(app(ty_Either, hb), fh)) -> new_ltEs5(ywz500, ywz400, hb, fh) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bbh)) -> new_ltEs6(ywz500, ywz400, bbh) new_compare13(ywz109, ywz110, False, bfh) -> GT new_compare13(ywz109, ywz110, True, bfh) -> LT new_ltEs6(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bbh), GT)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_not(True) -> False new_not(False) -> True new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_primCmpNat1(Zero, ywz50000) -> LT new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_primCmpNat2(Zero, Zero) -> EQ new_primCmpNat0(ywz50000, Zero) -> GT new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_primMulNat0(Zero, Zero) -> Zero new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_primPlusNat0(Zero, Zero) -> Zero new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), hb, fh) -> True new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_ltEs11(ywz5000, ywz4000, gc, gd, ge) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_ltEs11(ywz5000, ywz4000, hf, hg, hh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_ltEs6(ywz5000, ywz4000, fg) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_ltEs6(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_ltEs8(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_ltEs13(ywz5000, ywz4000, gh) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_ltEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_ltEs4(ywz5000, ywz4000, ga, gb) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_ltEs13(ywz5000, ywz4000, bac) new_ltEs5(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_ltEs16(ywz5000, ywz4000, beb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_ltEs5(ywz5000, ywz4000, bdg, bdh) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, gf), gg), fh) -> new_ltEs5(ywz5000, ywz4000, gf, gg) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, ha), fh) -> new_ltEs16(ywz5000, ywz4000, ha) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(ty_Maybe, bad)) -> new_ltEs16(ywz5000, ywz4000, bad) new_ltEs5(Right(ywz5000), Right(ywz4000), hb, app(app(ty_Either, baa), bab)) -> new_ltEs5(ywz5000, ywz4000, baa, bab) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_ltEs16(Nothing, Nothing, bcc) -> True new_ltEs16(Just(ywz5000), Nothing, bcc) -> False new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bda)) -> new_ltEs6(ywz5000, ywz4000, bda) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_ltEs4(ywz5000, ywz4000, bdb, bdc) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_ltEs11(ywz5000, ywz4000, bdd, bde, bdf) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_ltEs16(Nothing, Just(ywz4000), bcc) -> True new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_ltEs13(ywz5000, ywz4000, bea) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(GT, LT) -> False new_ltEs10(EQ, LT) -> False new_ltEs10(GT, EQ) -> False new_ltEs10(LT, LT) -> True new_ltEs10(GT, GT) -> True new_ltEs10(LT, EQ) -> True new_ltEs10(EQ, GT) -> True new_ltEs10(EQ, EQ) -> True new_ltEs10(LT, GT) -> True new_ltEs13(ywz500, ywz400, bae) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bae), GT)) new_compare0([], :(ywz4000, ywz4001), bae) -> LT new_compare0([], [], bae) -> EQ new_compare0(:(ywz5000, ywz5001), [], bae) -> GT new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bae), bae) new_primCompAux0(ywz5000, ywz4000, ywz253, bae) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bae)) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_compare31(ywz5000, ywz4000, bbg) new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_compare15(ywz5000, ywz4000, bbd, bbe) new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_compare30(ywz5000, ywz4000, bba, bbb, bbc) new_compare33(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_compare17(ywz5000, ywz4000, baf) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_compare18(ywz5000, ywz4000, bag, bah) new_compare33(ywz5000, ywz4000, app(ty_[], bbf)) -> new_compare0(ywz5000, ywz4000, bbf) new_primCompAux00(ywz301, LT) -> LT new_primCompAux00(ywz301, GT) -> GT new_primCompAux00(ywz301, EQ) -> ywz301 new_compare18(ywz5000, ywz4000, fd, ff) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_asAs(new_esEs23(ywz5000, ywz4000, bca), new_esEs22(ywz5001, ywz4001, bcb)) new_compare23(ywz5000, ywz4000, False, fd, ff) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, fd, ff), fd, ff) new_compare23(ywz5000, ywz4000, True, fd, ff) -> EQ new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), bca, bcb) -> new_pePe(new_lt15(ywz5000, ywz4000, bca), new_asAs(new_esEs26(ywz5000, ywz4000, bca), new_ltEs19(ywz5001, ywz4001, bcb))) new_compare10(ywz5000, ywz4000, True, fd, ff) -> LT new_compare10(ywz5000, ywz4000, False, fd, ff) -> GT new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_lt9(ywz5000, ywz4000, bec) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_lt7(ywz5000, ywz4000, bcd, bce) new_lt15(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_lt18(ywz5000, ywz4000, bfg) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], bed)) -> new_lt11(ywz5000, ywz4000, bed) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_lt14(ywz5000, ywz4000, bcf, bcg, bch) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_lt10(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_ltEs16(ywz5001, ywz4001, bff) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_ltEs11(ywz5001, ywz4001, beh, bfa, bfb) new_ltEs19(ywz5001, ywz4001, app(ty_[], bfe)) -> new_ltEs13(ywz5001, ywz4001, bfe) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_ltEs4(ywz5001, ywz4001, bef, beg) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_ltEs5(ywz5001, ywz4001, bfc, bfd) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_ltEs6(ywz5001, ywz4001, bee) new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_asAs(True, ywz116) -> ywz116 new_asAs(False, ywz116) -> False new_pePe(True, ywz188) -> True new_pePe(False, ywz188) -> ywz188 new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare19(@0, @0) -> EQ new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_pePe(new_lt20(ywz5000, ywz4000, bb), new_asAs(new_esEs28(ywz5000, ywz4000, bb), new_pePe(new_lt19(ywz5001, ywz4001, bc), new_asAs(new_esEs27(ywz5001, ywz4001, bc), new_ltEs20(ywz5002, ywz4002, bd))))) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_lt7(ywz5000, ywz4000, eh, fa) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_lt14(ywz5000, ywz4000, ee, ef, eg) new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], fb)) -> new_lt11(ywz5000, ywz4000, fb) new_lt20(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_lt10(ywz5000, ywz4000, ec, ed) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_lt9(ywz5000, ywz4000, eb) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_lt18(ywz5000, ywz4000, fc) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_lt19(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_lt7(ywz5001, ywz4001, df, dg) new_lt19(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_lt18(ywz5001, ywz4001, ea) new_lt19(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_lt9(ywz5001, ywz4001, cg) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_lt14(ywz5001, ywz4001, dc, dd, de) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_[], dh)) -> new_lt11(ywz5001, ywz4001, dh) new_lt19(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_lt10(ywz5001, ywz4001, da, db) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_ltEs11(ywz5002, ywz4002, bh, ca, cb) new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_ltEs4(ywz5002, ywz4002, bf, bg) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_ltEs16(ywz5002, ywz4002, cf) new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_ltEs5(ywz5002, ywz4002, cc, cd) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_ltEs6(ywz5002, ywz4002, be) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(ty_[], ce)) -> new_ltEs13(ywz5002, ywz4002, ce) new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_ltEs12(False, True) -> True new_ltEs12(True, True) -> True new_ltEs12(True, False) -> False new_ltEs12(False, False) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), bb, bc, bd) -> new_asAs(new_esEs11(ywz5000, ywz4000, bb), new_asAs(new_esEs10(ywz5001, ywz4001, bc), new_esEs9(ywz5002, ywz4002, bd))) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, eb)) -> new_esEs12(ywz5000, ywz4000, eb) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs5(ywz5000, ywz4000, ee, ef, eg) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, ec), ed)) -> new_esEs4(ywz5000, ywz4000, ec, ed) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, eh), fa)) -> new_esEs6(ywz5000, ywz4000, eh, fa) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, fc)) -> new_esEs7(ywz5000, ywz4000, fc) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, app(ty_[], fb)) -> new_esEs17(ywz5000, ywz4000, fb) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, ea)) -> new_esEs7(ywz5001, ywz4001, ea) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, cg)) -> new_esEs12(ywz5001, ywz4001, cg) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, da), db)) -> new_esEs4(ywz5001, ywz4001, da, db) new_esEs10(ywz5001, ywz4001, app(app(ty_Either, df), dg)) -> new_esEs6(ywz5001, ywz4001, df, dg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, dc), dd), de)) -> new_esEs5(ywz5001, ywz4001, dc, dd, de) new_esEs10(ywz5001, ywz4001, app(ty_[], dh)) -> new_esEs17(ywz5001, ywz4001, dh) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, be)) -> new_esEs12(ywz5002, ywz4002, be) new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, bf), bg)) -> new_esEs4(ywz5002, ywz4002, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, bh), ca), cb)) -> new_esEs5(ywz5002, ywz4002, bh, ca, cb) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, cc), cd)) -> new_esEs6(ywz5002, ywz4002, cc, cd) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, cf)) -> new_esEs7(ywz5002, ywz4002, cf) new_esEs9(ywz5002, ywz4002, app(ty_[], ce)) -> new_esEs17(ywz5002, ywz4002, ce) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_primEqNat0(Zero, Zero) -> True new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_esEs17([], [], bae) -> True new_esEs17(:(ywz5000, ywz5001), [], bae) -> False new_esEs17([], :(ywz4000, ywz4001), bae) -> False new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bae) -> new_asAs(new_esEs21(ywz5000, ywz4000, bae), new_esEs17(ywz5001, ywz4001, bae)) new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, baf)) -> new_esEs12(ywz5000, ywz4000, baf) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_esEs21(ywz5000, ywz4000, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], gh), fh) -> new_esEs17(ywz5000, ywz4000, gh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, fh) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, gc), gd), ge), fh) -> new_esEs5(ywz5000, ywz4000, gc, gd, ge) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, fh) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs5(ywz5000, ywz4000, hf, hg, hh) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, fg), fh) -> new_esEs12(ywz5000, ywz4000, fg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, ga), gb), fh) -> new_esEs4(ywz5000, ywz4000, ga, gb) new_esEs6(Left(ywz5000), Right(ywz4000), hb, fh) -> False new_esEs6(Right(ywz5000), Left(ywz4000), hb, fh) -> False new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, fh) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(app(ty_@2, hd), he)) -> new_esEs4(ywz5000, ywz4000, hd, he) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, fh) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, fh) -> new_esEs13(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, fh) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_Ratio, hc)) -> new_esEs12(ywz5000, ywz4000, hc) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, fh) -> new_esEs19(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, fh) -> new_esEs18(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), hb, app(ty_[], bac)) -> new_esEs17(ywz5000, ywz4000, bac) new_esEs18(@0, @0) -> True new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs25(ywz5000, ywz4000, bbh), new_esEs24(ywz5001, ywz4001, bbh)) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs16(True, True) -> True new_esEs16(False, False) -> True new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs8(EQ, EQ) -> True new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs8(LT, LT) -> True new_esEs8(GT, LT) -> False new_esEs8(GT, EQ) -> False new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, True) -> EQ new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_compare16(ywz5000, ywz4000, False) -> GT new_compare16(ywz5000, ywz4000, True) -> LT new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare11(ywz5000, ywz4000, False) -> GT new_compare11(ywz5000, ywz4000, True) -> LT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_lt10(ywz5000, ywz4000, fd, ff) -> new_esEs8(new_compare18(ywz5000, ywz4000, fd, ff), LT) new_lt11(ywz5000, ywz4000, bed) -> new_esEs8(new_compare0(ywz5000, ywz4000, bed), LT) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_lt14(ywz5000, ywz4000, bcf, bcg, bch) -> new_esEs8(new_compare30(ywz5000, ywz4000, bcf, bcg, bch), LT) new_compare30(ywz5000, ywz4000, bcf, bcg, bch) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, False, bcf, bcg, bch) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, bcf, bcg, bch), bcf, bcg, bch) new_compare25(ywz5000, ywz4000, True, bcf, bcg, bch) -> EQ new_compare14(ywz5000, ywz4000, True, bcf, bcg, bch) -> LT new_compare14(ywz5000, ywz4000, False, bcf, bcg, bch) -> GT new_lt9(ywz5000, ywz4000, bec) -> new_esEs8(new_compare17(ywz5000, ywz4000, bec), LT) new_lt18(ywz50, ywz40, h) -> new_esEs8(new_compare31(ywz50, ywz40, h), LT) new_lt7(ywz5000, ywz4000, bcd, bce) -> new_esEs8(new_compare15(ywz5000, ywz4000, bcd, bce), LT) new_compare15(ywz5000, ywz4000, bcd, bce) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare26(ywz5000, ywz4000, True, bcd, bce) -> EQ new_compare26(ywz5000, ywz4000, False, bcd, bce) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, bcd, bce), bcd, bce) new_compare12(ywz5000, ywz4000, False, bcd, bce) -> GT new_compare12(ywz5000, ywz4000, True, bcd, bce) -> LT new_esEs23(ywz5000, ywz4000, app(ty_[], bed)) -> new_esEs17(ywz5000, ywz4000, bed) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs5(ywz5000, ywz4000, bcf, bcg, bch) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, bfg)) -> new_esEs7(ywz5000, ywz4000, bfg) new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, bcd), bce)) -> new_esEs6(ywz5000, ywz4000, bcd, bce) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, fd), ff)) -> new_esEs4(ywz5000, ywz4000, fd, ff) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bec)) -> new_esEs12(ywz5000, ywz4000, bec) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bfc), bfd)) -> new_esEs6(ywz5001, ywz4001, bfc, bfd) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, bff)) -> new_esEs7(ywz5001, ywz4001, bff) new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, bef), beg)) -> new_esEs4(ywz5001, ywz4001, bef, beg) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, beh), bfa), bfb)) -> new_esEs5(ywz5001, ywz4001, beh, bfa, bfb) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, app(ty_[], bfe)) -> new_esEs17(ywz5001, ywz4001, bfe) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_compare0([], [], x0) new_compare24(x0, x1, True, x2) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_esEs11(x0, x1, ty_Char) new_compare26(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Bool) new_esEs7(Nothing, Just(x0), x1) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs17(:(x0, x1), :(x2, x3), x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_ltEs20(x0, x1, ty_Float) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_lt19(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Char) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs19(Integer(x0), Integer(x1)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Pos(Zero)) new_compare14(x0, x1, True, x2, x3, x4) new_esEs21(x0, x1, ty_Integer) new_lt7(x0, x1, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_primCompAux00(x0, LT) new_compare33(x0, x1, app(ty_Ratio, x2)) new_lt20(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare33(x0, x1, app(ty_Maybe, x2)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_lt10(x0, x1, x2, x3) new_esEs11(x0, x1, ty_@0) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare10(x0, x1, True, x2, x3) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_lt20(x0, x1, ty_Double) new_compare30(x0, x1, x2, x3, x4) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_lt9(x0, x1, x2) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_ltEs18(x0, x1, ty_Char) new_esEs17([], [], x0) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_lt20(x0, x1, ty_Bool) new_esEs21(x0, x1, app(ty_[], x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs22(x0, x1, ty_Bool) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_compare12(x0, x1, False, x2, x3) new_esEs9(x0, x1, ty_Ordering) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, True, x2, x3) new_esEs21(x0, x1, ty_Float) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_compare33(x0, x1, app(ty_[], x2)) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare0(:(x0, x1), [], x2) new_ltEs18(x0, x1, ty_@0) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt6(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_compare12(x0, x1, True, x2, x3) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_compare27(x0, x1, False) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt15(x0, x1, ty_@0) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Ordering) new_lt14(x0, x1, x2, x3, x4) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs28(x0, x1, app(ty_[], x2)) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_ltEs6(x0, x1, x2) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, app(ty_Maybe, x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Nothing, x1) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_esEs8(LT, LT) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, ty_Float) new_ltEs16(Just(x0), Nothing, x1) new_esEs10(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Char) new_lt18(x0, x1, x2) new_esEs20(x0, x1) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs16(False, False) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs26(x0, x1, ty_Char) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_primCompAux0(x0, x1, x2, x3) new_esEs28(x0, x1, ty_Ordering) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_esEs10(x0, x1, ty_Char) new_compare19(@0, @0) new_compare31(x0, x1, x2) new_compare14(x0, x1, False, x2, x3, x4) new_primPlusNat0(Succ(x0), Zero) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_compare13(x0, x1, True, x2) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs16(Nothing, Just(x0), x1) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, ty_Bool) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs21(x0, x1, ty_Bool) new_lt20(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Float) new_esEs9(x0, x1, app(ty_[], x2)) new_esEs13(Float(x0, x1), Float(x2, x3)) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, ty_@0) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_compare23(x0, x1, True, x2, x3) new_lt15(x0, x1, app(ty_[], x2)) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_lt19(x0, x1, app(ty_[], x2)) new_compare0([], :(x0, x1), x2) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_compare24(Nothing, Just(x0), False, x1) new_ltEs12(True, True) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_lt19(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Char) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_lt11(x0, x1, x2) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_compare24(Just(x0), Nothing, False, x1) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs17([], :(x0, x1), x2) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_pePe(True, x0) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare25(x0, x1, True, x2, x3, x4) new_esEs27(x0, x1, app(ty_[], x2)) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_ltEs13(x0, x1, x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs15(x0, x1) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_lt20(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_lt15(x0, x1, app(ty_Ratio, x2)) new_lt19(x0, x1, ty_Bool) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare15(x0, x1, x2, x3) new_esEs27(x0, x1, ty_Ordering) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_compare11(x0, x1, False) new_esEs11(x0, x1, app(ty_[], x2)) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat1(Succ(x0), x1) new_compare23(x0, x1, False, x2, x3) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, ty_Double) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_lt20(x0, x1, app(ty_[], x2)) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_[], x2)) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_lt17(x0, x1) new_compare13(x0, x1, False, x2) new_sr(x0, x1) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, ty_Float) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_lt5(x0, x1) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_compare210(x0, x1, False) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs18(@0, @0) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_primEqNat0(Zero, Zero) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Nothing, Nothing, x0) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs11(x0, x1, ty_Bool) new_compare24(Nothing, Nothing, False, x0) new_primCmpNat0(x0, Zero) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_compare10(x0, x1, False, x2, x3) new_not(False) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_ltEs18(x0, x1, app(ty_[], x2)) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs25(x0, x1, ty_Integer) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_esEs23(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_esEs11(x0, x1, ty_Ordering) new_ltEs12(False, False) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_primEqNat0(Zero, Succ(x0)) new_esEs7(Nothing, Nothing, x0) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_esEs23(x0, x1, ty_Int) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_ltEs19(x0, x1, ty_Double) new_esEs16(False, True) new_esEs16(True, False) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_compare29(Char(x0), Char(x1)) new_esEs9(x0, x1, ty_Int) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs19(x0, x1, app(ty_[], x2)) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_compare18(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_@0) new_esEs17(:(x0, x1), [], x2) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (95) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_addToFM_C(Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz50, ywz9, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) The graph contains the following edges 1 > 1, 1 > 2, 1 > 3, 1 > 4, 1 > 5, 2 >= 6, 3 >= 7, 4 >= 8, 5 >= 9 *new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, False, h, ba) -> new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), GT), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 9 >= 9, 10 >= 10 *new_addToFM_C3(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, h, ba) -> new_addToFM_C2(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, new_esEs8(new_compare24(ywz50, ywz740, new_esEs7(ywz50, ywz740, h), h), LT), h, ba) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 9, 9 >= 10 *new_addToFM_C1(ywz740, ywz741, ywz742, ywz743, ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C(ywz744, ywz50, ywz9, h, ba) The graph contains the following edges 5 >= 1, 6 >= 2, 7 >= 3, 9 >= 4, 10 >= 5 *new_addToFM_C2(ywz740, ywz741, ywz742, Branch(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434), ywz744, ywz50, ywz9, True, h, ba) -> new_addToFM_C3(ywz7430, ywz7431, ywz7432, ywz7433, ywz7434, ywz50, ywz9, h, ba) The graph contains the following edges 4 > 1, 4 > 2, 4 > 3, 4 > 4, 4 > 5, 6 >= 6, 7 >= 7, 9 >= 8, 10 >= 9 ---------------------------------------- (96) YES ---------------------------------------- (97) Obligation: Q DP problem: The TRS P consists of the following rules: new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(ty_[], beb))) -> new_ltEs2(ywz5000, ywz4000, beb) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(ty_Maybe, gb)), fb)) -> new_lt(ywz5001, ywz4001, gb) new_compare20(ywz5000, ywz4000, False, ce, cf, cg) -> new_ltEs0(ywz5000, ywz4000, ce, cf, cg) new_ltEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_compare(ywz5001, ywz4001, bbh) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_ltEs0(ywz5002, ywz4002, ea, eb, ec) new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(ty_Maybe, bae)), hf)) -> new_ltEs3(ywz5000, ywz4000, bae) new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(ty_Either, bbd), bbe))) -> new_ltEs1(ywz5000, ywz4000, bbd, bbe) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_Either, bf), bg)) -> new_ltEs1(ywz5001, ywz4001, bf, bg) new_primCompAux(ywz5000, ywz4000, ywz253, app(app(app(ty_@3, bcc), bcd), bce)) -> new_compare3(ywz5000, ywz4000, bcc, bcd, bce) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_Either, fg), fh), fb) -> new_lt2(ywz5001, ywz4001, fg, fh) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_@2, eh), fa), fb) -> new_lt0(ywz5001, ywz4001, eh, fa) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(ty_[], hb)), df), fb)) -> new_lt3(ywz5000, ywz4000, hb) new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_ltEs(ywz5000, ywz4000, bag, bah) new_ltEs3(Just(ywz5000), Just(ywz4000), app(ty_[], beb)) -> new_ltEs2(ywz5000, ywz4000, beb) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(ty_@2, gc), gd)), df), fb)) -> new_lt0(ywz5000, ywz4000, gc, gd) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(ty_Either, gh), ha)), df), fb)) -> new_lt2(ywz5000, ywz4000, gh, ha) new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(ty_[], bad)), hf)) -> new_ltEs2(ywz5000, ywz4000, bad) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(app(ty_@3, ce), cf), cg), cd) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(ty_Either, bdh), bea))) -> new_ltEs1(ywz5000, ywz4000, bdh, bea) new_lt3(ywz5000, ywz4000, dc) -> new_compare(ywz5000, ywz4000, dc) new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_ltEs1(ywz5000, ywz4000, bbd, bbe) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(app(ty_@3, bc), bd), be))) -> new_ltEs0(ywz5001, ywz4001, bc, bd, be) new_compare4(ywz5000, ywz4000, da, db) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(ty_@2, dg), dh))) -> new_ltEs(ywz5002, ywz4002, dg, dh) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_Maybe, dd), cd) -> new_lt(ywz5000, ywz4000, dd) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(ty_[], dc)), cd)) -> new_compare(ywz5000, ywz4000, dc) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_Maybe, eg)) -> new_ltEs3(ywz5002, ywz4002, eg) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_[], hb), df, fb) -> new_lt3(ywz5000, ywz4000, hb) new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bde), bdf), bdg)) -> new_ltEs0(ywz5000, ywz4000, bde, bdf, bdg) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(ty_Either, da), db)), cd)) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) new_lt1(ywz5000, ywz4000, ce, cf, cg) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdc), bdd)) -> new_ltEs(ywz5000, ywz4000, bdc, bdd) new_ltEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(app(ty_@3, hg), hh), baa)), hf)) -> new_ltEs0(ywz5000, ywz4000, hg, hh, baa) new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_ltEs(ywz5000, ywz4000, hd, he) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_Either, da), db), cd) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_[], ef)) -> new_ltEs2(ywz5002, ywz4002, ef) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(app(ty_@3, ea), eb), ec))) -> new_ltEs0(ywz5002, ywz4002, ea, eb, ec) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(ty_Maybe, hc)), df), fb)) -> new_lt(ywz5000, ywz4000, hc) new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(ty_Either, bab), bac)), hf)) -> new_ltEs1(ywz5000, ywz4000, bab, bac) new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(ty_@2, bag), bah))) -> new_ltEs(ywz5000, ywz4000, bag, bah) new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(app(ty_@3, bde), bdf), bdg))) -> new_ltEs0(ywz5000, ywz4000, bde, bdf, bdg) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_Maybe, hc), df, fb) -> new_lt(ywz5000, ywz4000, hc) new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_ltEs3(ywz5000, ywz4000, bbg) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_lt1(ywz5001, ywz4001, fc, fd, ff) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(ty_@2, eh), fa)), fb)) -> new_lt0(ywz5001, ywz4001, eh, fa) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_@2, ba), bb)) -> new_ltEs(ywz5001, ywz4001, ba, bb) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_@2, cb), cc), cd) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_Either, gh), ha), df, fb) -> new_lt2(ywz5000, ywz4000, gh, ha) new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(ty_Maybe, bec))) -> new_ltEs3(ywz5000, ywz4000, bec) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(ty_Maybe, ca))) -> new_ltEs3(ywz5001, ywz4001, ca) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_@2, gc), gd), df, fb) -> new_lt0(ywz5000, ywz4000, gc, gd) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(ty_@2, ba), bb))) -> new_ltEs(ywz5001, ywz4001, ba, bb) new_ltEs1(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_ltEs3(ywz5000, ywz4000, bae) new_compare22(Just(:(ywz5000, ywz5001)), Just(:(ywz4000, ywz4001)), False, app(ty_[], bbh)) -> new_compare(ywz5001, ywz4001, bbh) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_Either, ed), ee)) -> new_ltEs1(ywz5002, ywz4002, ed, ee) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_[], dc), cd) -> new_compare(ywz5000, ywz4000, dc) new_lt0(ywz5000, ywz4000, cb, cc) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_lt1(ywz5000, ywz4000, ge, gf, gg) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(app(ty_@3, ge), gf), gg)), df), fb)) -> new_lt1(ywz5000, ywz4000, ge, gf, gg) new_primCompAux(ywz5000, ywz4000, ywz253, app(ty_Maybe, bda)) -> new_compare5(ywz5000, ywz4000, bda) new_compare21(ywz5000, ywz4000, False, da, db) -> new_ltEs1(ywz5000, ywz4000, da, db) new_compare3(ywz5000, ywz4000, ce, cf, cg) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(ty_[], ef))) -> new_ltEs2(ywz5002, ywz4002, ef) new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(ty_Maybe, bbg))) -> new_ltEs3(ywz5000, ywz4000, bbg) new_ltEs3(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bec)) -> new_ltEs3(ywz5000, ywz4000, bec) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_@2, dg), dh)) -> new_ltEs(ywz5002, ywz4002, dg, dh) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(ty_[], bh))) -> new_ltEs2(ywz5001, ywz4001, bh) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(ty_Either, fg), fh)), fb)) -> new_lt2(ywz5001, ywz4001, fg, fh) new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(ty_[], bbf))) -> new_ltEs2(ywz5000, ywz4000, bbf) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_Maybe, ca)) -> new_ltEs3(ywz5001, ywz4001, ca) new_lt(ywz50, ywz40, bdb) -> new_compare22(ywz50, ywz40, new_esEs7(ywz50, ywz40, bdb), bdb) new_primCompAux(ywz5000, ywz4000, ywz253, app(app(ty_Either, bcf), bcg)) -> new_compare4(ywz5000, ywz4000, bcf, bcg) new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_ltEs0(ywz5000, ywz4000, hg, hh, baa) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(ty_Maybe, eg))) -> new_ltEs3(ywz5002, ywz4002, eg) new_compare(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_[], ga), fb) -> new_lt3(ywz5001, ywz4001, ga) new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_ltEs1(ywz5000, ywz4000, bab, bac) new_primCompAux(ywz5000, ywz4000, ywz253, app(ty_[], bch)) -> new_compare(ywz5000, ywz4000, bch) new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdh), bea)) -> new_ltEs1(ywz5000, ywz4000, bdh, bea) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(app(ty_@3, bc), bd), be)) -> new_ltEs0(ywz5001, ywz4001, bc, bd, be) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(ty_Either, bf), bg))) -> new_ltEs1(ywz5001, ywz4001, bf, bg) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(app(ty_@3, fc), fd), ff)), fb)) -> new_lt1(ywz5001, ywz4001, fc, fd, ff) new_ltEs1(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_ltEs2(ywz5000, ywz4000, bad) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(app(ty_@3, ce), cf), cg)), cd)) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(ty_@2, bdc), bdd))) -> new_ltEs(ywz5000, ywz4000, bdc, bdd) new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(ty_@2, hd), he)), hf)) -> new_ltEs(ywz5000, ywz4000, hd, he) new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_ltEs0(ywz5000, ywz4000, bba, bbb, bbc) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(ty_@2, cb), cc)), cd)) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_compare(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_compare(ywz5001, ywz4001, bbh) new_lt2(ywz5000, ywz4000, da, db) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(ty_[], ga)), fb)) -> new_lt3(ywz5001, ywz4001, ga) new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_Maybe, gb), fb) -> new_lt(ywz5001, ywz4001, gb) new_compare2(ywz5000, ywz4000, False, cb, cc) -> new_ltEs(ywz5000, ywz4000, cb, cc) new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(ty_Maybe, dd)), cd)) -> new_lt(ywz5000, ywz4000, dd) new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(app(ty_@3, bba), bbb), bbc))) -> new_ltEs0(ywz5000, ywz4000, bba, bbb, bbc) new_compare22(Just(:(ywz5000, ywz5001)), Just(:(ywz4000, ywz4001)), False, app(ty_[], bbh)) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) new_compare5(ywz50, ywz40, bdb) -> new_compare22(ywz50, ywz40, new_esEs7(ywz50, ywz40, bdb), bdb) new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_ltEs2(ywz5000, ywz4000, bbf) new_primCompAux(ywz5000, ywz4000, ywz253, app(app(ty_@2, bca), bcb)) -> new_compare1(ywz5000, ywz4000, bca, bcb) new_compare1(ywz5000, ywz4000, cb, cc) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(ty_Either, ed), ee))) -> new_ltEs1(ywz5002, ywz4002, ed, ee) new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_[], bh)) -> new_ltEs2(ywz5001, ywz4001, bh) The TRS R consists of the following rules: new_esEs7(Just(ywz5000), Just(ywz4000), ty_@0) -> new_esEs18(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(ty_Either, fg), fh)) -> new_lt7(ywz5001, ywz4001, fg, fh) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Pos(Zero)) -> True new_primCmpInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> LT new_primPlusNat0(Zero, Zero) -> Zero new_esEs23(ywz5000, ywz4000, app(ty_[], dc)) -> new_esEs17(ywz5000, ywz4000, dc) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_pePe(True, ywz188) -> True new_compare12(ywz5000, ywz4000, False, da, db) -> GT new_esEs22(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, app(ty_Maybe, gb)) -> new_lt18(ywz5001, ywz4001, gb) new_ltEs19(ywz5001, ywz4001, ty_Float) -> new_ltEs7(ywz5001, ywz4001) new_lt7(ywz5000, ywz4000, da, db) -> new_esEs8(new_compare15(ywz5000, ywz4000, da, db), LT) new_lt20(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(ty_Maybe, bda)) -> new_compare31(ywz5000, ywz4000, bda) new_esEs22(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_primCmpInt(Neg(Zero), Neg(Zero)) -> EQ new_lt15(ywz5000, ywz4000, app(ty_Ratio, bfe)) -> new_lt9(ywz5000, ywz4000, bfe) new_primCmpInt(Pos(Zero), Neg(Succ(ywz40000))) -> GT new_ltEs16(Nothing, Nothing, bfc) -> True new_compare33(ywz5000, ywz4000, ty_Bool) -> new_compare9(ywz5000, ywz4000) new_compare26(ywz5000, ywz4000, True, da, db) -> EQ new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_esEs7(ywz5000, ywz4000, bbg) new_ltEs16(Just(ywz5000), Nothing, bfc) -> False new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bec)) -> new_esEs7(ywz5000, ywz4000, bec) new_esEs18(@0, @0) -> True new_esEs28(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(ty_Ratio, bff)) -> new_esEs12(ywz5001, ywz4001, bff) new_esEs28(ywz5000, ywz4000, app(ty_Maybe, hc)) -> new_esEs7(ywz5000, ywz4000, hc) new_primMulNat0(Succ(ywz500100), Succ(ywz400000)) -> new_primPlusNat1(new_primMulNat0(ywz500100, Succ(ywz400000)), ywz400000) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_Maybe, ca)) -> new_ltEs16(ywz5001, ywz4001, ca) new_esEs9(ywz5002, ywz4002, ty_Bool) -> new_esEs16(ywz5002, ywz4002) new_ltEs10(GT, LT) -> False new_esEs7(Just(ywz5000), Just(ywz4000), ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare19(@0, @0) -> EQ new_ltEs20(ywz5002, ywz4002, ty_Float) -> new_ltEs7(ywz5002, ywz4002) new_lt15(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Right(ywz4000), baf, hf) -> True new_ltEs20(ywz5002, ywz4002, ty_Bool) -> new_ltEs12(ywz5002, ywz4002) new_ltEs20(ywz5002, ywz4002, app(app(app(ty_@3, ea), eb), ec)) -> new_ltEs11(ywz5002, ywz4002, ea, eb, ec) new_esEs8(GT, GT) -> True new_compare24(Nothing, Just(ywz400), False, bdb) -> LT new_primEqInt(Pos(Succ(ywz50000)), Pos(Zero)) -> False new_primEqInt(Pos(Zero), Pos(Succ(ywz40000))) -> False new_ltEs18(ywz500, ywz400, app(app(ty_@2, h), cd)) -> new_ltEs4(ywz500, ywz400, h, cd) new_esEs28(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_lt12(ywz5000, ywz4000) -> new_esEs8(new_compare19(ywz5000, ywz4000), LT) new_ltEs10(EQ, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Float, hf) -> new_ltEs7(ywz5000, ywz4000) new_primCmpNat2(Succ(ywz500000), Succ(ywz400000)) -> new_primCmpNat2(ywz500000, ywz400000) new_ltEs18(ywz500, ywz400, ty_Int) -> new_ltEs17(ywz500, ywz400) new_esEs27(ywz5001, ywz4001, app(ty_[], ga)) -> new_esEs17(ywz5001, ywz4001, ga) new_esEs8(EQ, EQ) -> True new_esEs21(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_primEqNat0(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat0(ywz50000, ywz40000) new_ltEs17(ywz500, ywz400) -> new_not(new_esEs8(new_compare8(ywz500, ywz400), GT)) new_not(True) -> False new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_esEs7(ywz5000, ywz4000, bae) new_esEs11(ywz5000, ywz4000, app(ty_Ratio, bef)) -> new_esEs12(ywz5000, ywz4000, bef) new_lt10(ywz5000, ywz4000, cb, cc) -> new_esEs8(new_compare18(ywz5000, ywz4000, cb, cc), LT) new_esEs27(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_primCompAux00(ywz301, LT) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs5(ywz5000, ywz4000, bde, bdf, bdg) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_esEs17(ywz5000, ywz4000, bad) new_esEs28(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_ltEs11(ywz5000, ywz4000, hg, hh, baa) new_compare11(ywz5000, ywz4000, False) -> GT new_compare33(ywz5000, ywz4000, ty_Double) -> new_compare7(ywz5000, ywz4000) new_compare14(ywz5000, ywz4000, True, ce, cf, cg) -> LT new_esEs27(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_esEs10(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_ltEs11(ywz5000, ywz4000, bba, bbb, bbc) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Ratio, beg), hf) -> new_ltEs6(ywz5000, ywz4000, beg) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Char) -> new_ltEs9(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Bool) -> new_ltEs12(ywz5001, ywz4001) new_primEqNat0(Succ(ywz50000), Zero) -> False new_primEqNat0(Zero, Succ(ywz40000)) -> False new_esEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, cd) -> new_asAs(new_esEs23(ywz5000, ywz4000, h), new_esEs22(ywz5001, ywz4001, cd)) new_compare33(ywz5000, ywz4000, ty_Ordering) -> new_compare32(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_compare8(ywz500, ywz400) -> new_primCmpInt(ywz500, ywz400) new_esEs23(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, True, cb, cc) -> LT new_ltEs19(ywz5001, ywz4001, app(app(app(ty_@3, bc), bd), be)) -> new_ltEs11(ywz5001, ywz4001, bc, bd, be) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Bool, hf) -> new_ltEs12(ywz5000, ywz4000) new_primCmpNat0(ywz50000, Succ(ywz40000)) -> new_primCmpNat2(ywz50000, ywz40000) new_lt20(ywz5000, ywz4000, app(app(ty_Either, gh), ha)) -> new_lt7(ywz5000, ywz4000, gh, ha) new_esEs9(ywz5002, ywz4002, app(ty_Ratio, bed)) -> new_esEs12(ywz5002, ywz4002, bed) new_primCompAux00(ywz301, GT) -> GT new_lt19(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_lt9(ywz5001, ywz4001, bee) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_ltEs5(ywz5000, ywz4000, bab, bac) new_ltEs18(ywz500, ywz400, ty_Bool) -> new_ltEs12(ywz500, ywz400) new_compare13(ywz109, ywz110, False, bfg) -> GT new_lt15(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_lt19(ywz5001, ywz4001, app(app(app(ty_@3, fc), fd), ff)) -> new_lt14(ywz5001, ywz4001, fc, fd, ff) new_ltEs18(ywz500, ywz400, app(app(app(ty_@3, de), df), fb)) -> new_ltEs11(ywz500, ywz400, de, df, fb) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare6(Integer(ywz5000), Integer(ywz4000)) -> new_primCmpInt(ywz5000, ywz4000) new_primCmpInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> GT new_ltEs20(ywz5002, ywz4002, app(app(ty_@2, dg), dh)) -> new_ltEs4(ywz5002, ywz4002, dg, dh) new_lt19(ywz5001, ywz4001, ty_@0) -> new_lt12(ywz5001, ywz4001) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Bool, hf) -> new_esEs16(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs10(GT, EQ) -> False new_esEs26(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Int) -> new_compare8(ywz5000, ywz4000) new_compare25(ywz5000, ywz4000, False, ce, cf, cg) -> new_compare14(ywz5000, ywz4000, new_ltEs11(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_compare16(ywz5000, ywz4000, False) -> GT new_ltEs18(ywz500, ywz400, ty_Float) -> new_ltEs7(ywz500, ywz400) new_lt14(ywz5000, ywz4000, ce, cf, cg) -> new_esEs8(new_compare30(ywz5000, ywz4000, ce, cf, cg), LT) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Int) -> new_compare8(new_sr(ywz5000, ywz4001), new_sr(ywz4000, ywz5001)) new_lt20(ywz5000, ywz4000, app(app(app(ty_@3, ge), gf), gg)) -> new_lt14(ywz5000, ywz4000, ge, gf, gg) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_esEs5(ywz5000, ywz4000, hg, hh, baa) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(ty_Ratio, beh)) -> new_ltEs6(ywz5000, ywz4000, beh) new_compare210(ywz5000, ywz4000, True) -> EQ new_lt20(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, app(ty_[], bh)) -> new_ltEs13(ywz5001, ywz4001, bh) new_ltEs19(ywz5001, ywz4001, app(app(ty_@2, ba), bb)) -> new_ltEs4(ywz5001, ywz4001, ba, bb) new_esEs21(ywz5000, ywz4000, app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs5(ywz5000, ywz4000, bcc, bcd, bce) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Ordering, hf) -> new_ltEs10(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_pePe(False, ywz188) -> ywz188 new_esEs7(Nothing, Just(ywz4000), bfc) -> False new_esEs7(Just(ywz5000), Nothing, bfc) -> False new_esEs9(ywz5002, ywz4002, ty_Integer) -> new_esEs19(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_ltEs14(ywz500, ywz400) -> new_not(new_esEs8(new_compare19(ywz500, ywz400), GT)) new_compare15(ywz5000, ywz4000, da, db) -> new_compare26(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) new_lt15(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_Either, bf), bg)) -> new_esEs6(ywz5001, ywz4001, bf, bg) new_esEs27(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_Maybe, bfc)) -> new_ltEs16(ywz500, ywz400, bfc) new_ltEs18(ywz500, ywz400, ty_Double) -> new_ltEs8(ywz500, ywz400) new_esEs10(ywz5001, ywz4001, app(ty_Maybe, gb)) -> new_esEs7(ywz5001, ywz4001, gb) new_compare23(ywz5000, ywz4000, False, cb, cc) -> new_compare10(ywz5000, ywz4000, new_ltEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_esEs17([], [], bbh) -> True new_lt15(ywz5000, ywz4000, ty_Ordering) -> new_lt17(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_[], hb)) -> new_lt11(ywz5000, ywz4000, hb) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_ltEs4(ywz5000, ywz4000, bag, bah) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Ordering, hf) -> new_esEs8(ywz5000, ywz4000) new_compare23(ywz5000, ywz4000, True, cb, cc) -> EQ new_esEs8(LT, EQ) -> False new_esEs8(EQ, LT) -> False new_esEs21(ywz5000, ywz4000, app(app(ty_@2, bca), bcb)) -> new_esEs4(ywz5000, ywz4000, bca, bcb) new_primEqInt(Pos(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Neg(Zero), Pos(Succ(ywz40000))) -> False new_esEs7(Nothing, Nothing, bfc) -> True new_compare24(ywz50, ywz40, True, bdb) -> EQ new_esEs21(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_primEqInt(Neg(Succ(ywz50000)), Neg(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs11(ywz5000, ywz4000, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_compare25(ywz5000, ywz4000, True, ce, cf, cg) -> EQ new_primCmpInt(Neg(Zero), Pos(Succ(ywz40000))) -> LT new_compare33(ywz5000, ywz4000, ty_Float) -> new_compare28(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(ty_Ratio, bfa)) -> new_esEs12(ywz5000, ywz4000, bfa) new_primMulInt(Pos(ywz50010), Pos(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare32(ywz5000, ywz4000) -> new_compare210(ywz5000, ywz4000, new_esEs8(ywz5000, ywz4000)) new_esEs9(ywz5002, ywz4002, app(app(ty_@2, dg), dh)) -> new_esEs4(ywz5002, ywz4002, dg, dh) new_esEs25(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_esEs6(ywz5000, ywz4000, bab, bac) new_esEs9(ywz5002, ywz4002, ty_Ordering) -> new_esEs8(ywz5002, ywz4002) new_esEs10(ywz5001, ywz4001, app(ty_Ratio, bee)) -> new_esEs12(ywz5001, ywz4001, bee) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_esEs10(ywz5001, ywz4001, app(app(ty_@2, eh), fa)) -> new_esEs4(ywz5001, ywz4001, eh, fa) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bfd)) -> new_ltEs6(ywz5000, ywz4000, bfd) new_primMulNat0(Succ(ywz500100), Zero) -> Zero new_primMulNat0(Zero, Succ(ywz400000)) -> Zero new_esEs10(ywz5001, ywz4001, app(app(ty_Either, fg), fh)) -> new_esEs6(ywz5001, ywz4001, fg, fh) new_ltEs6(ywz500, ywz400, bfb) -> new_not(new_esEs8(new_compare17(ywz500, ywz400, bfb), GT)) new_esEs23(ywz5000, ywz4000, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs5(ywz5000, ywz4000, ce, cf, cg) new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs5(ywz5000, ywz4000, bba, bbb, bbc) new_ltEs18(ywz500, ywz400, ty_Integer) -> new_ltEs15(ywz500, ywz400) new_esEs22(ywz5001, ywz4001, app(ty_Maybe, ca)) -> new_esEs7(ywz5001, ywz4001, ca) new_primPlusNat1(Succ(ywz2120), ywz400000) -> Succ(Succ(new_primPlusNat0(ywz2120, ywz400000))) new_primCmpNat2(Succ(ywz500000), Zero) -> GT new_esEs22(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Maybe, dd)) -> new_esEs7(ywz5000, ywz4000, dd) new_ltEs12(False, True) -> True new_compare24(Just(ywz500), Nothing, False, bdb) -> GT new_primPlusNat0(Succ(ywz21200), Zero) -> Succ(ywz21200) new_primPlusNat0(Zero, Succ(ywz4000000)) -> Succ(ywz4000000) new_esEs28(ywz5000, ywz4000, app(ty_[], hb)) -> new_esEs17(ywz5000, ywz4000, hb) new_lt19(ywz5001, ywz4001, app(ty_[], ga)) -> new_lt11(ywz5001, ywz4001, ga) new_compare24(Just(ywz500), Just(ywz400), False, bdb) -> new_compare13(ywz500, ywz400, new_ltEs18(ywz500, ywz400, bdb), bdb) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_@0) -> new_ltEs14(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdh), bea)) -> new_esEs6(ywz5000, ywz4000, bdh, bea) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_ltEs16(ywz5000, ywz4000, bae) new_primPlusNat1(Zero, ywz400000) -> Succ(ywz400000) new_esEs11(ywz5000, ywz4000, app(app(ty_@2, gc), gd)) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_lt15(ywz5000, ywz4000, app(app(ty_Either, da), db)) -> new_lt7(ywz5000, ywz4000, da, db) new_esEs22(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_esEs8(LT, LT) -> True new_esEs23(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Double) -> new_ltEs8(ywz5002, ywz4002) new_compare26(ywz5000, ywz4000, False, da, db) -> new_compare12(ywz5000, ywz4000, new_ltEs5(ywz5000, ywz4000, da, db), da, db) new_ltEs20(ywz5002, ywz4002, app(ty_Maybe, eg)) -> new_ltEs16(ywz5002, ywz4002, eg) new_lt18(ywz50, ywz40, bdb) -> new_esEs8(new_compare31(ywz50, ywz40, bdb), LT) new_esEs28(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdc), bdd)) -> new_esEs4(ywz5000, ywz4000, bdc, bdd) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Double) -> new_ltEs8(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_@0) -> new_ltEs14(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, app(app(ty_Either, gh), ha)) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_esEs27(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_esEs6(Left(ywz5000), Left(ywz4000), app(ty_Ratio, beg), hf) -> new_esEs12(ywz5000, ywz4000, beg) new_esEs10(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs28(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_esEs24(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_esEs11(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs12(True, True) -> True new_ltEs20(ywz5002, ywz4002, ty_@0) -> new_ltEs14(ywz5002, ywz4002) new_compare17(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), ty_Integer) -> new_compare6(new_sr0(ywz5000, ywz4001), new_sr0(ywz4000, ywz5001)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bec)) -> new_ltEs16(ywz5000, ywz4000, bec) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Int) -> new_esEs20(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_Integer) -> new_compare6(ywz5000, ywz4000) new_compare9(ywz5000, ywz4000) -> new_compare27(ywz5000, ywz4000, new_esEs16(ywz5000, ywz4000)) new_compare210(ywz5000, ywz4000, False) -> new_compare16(ywz5000, ywz4000, new_ltEs10(ywz5000, ywz4000)) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Integer) -> new_ltEs15(ywz5000, ywz4000) new_primMulInt(Neg(ywz50010), Neg(ywz40000)) -> Pos(new_primMulNat0(ywz50010, ywz40000)) new_esEs9(ywz5002, ywz4002, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs5(ywz5002, ywz4002, ea, eb, ec) new_ltEs9(ywz500, ywz400) -> new_not(new_esEs8(new_compare29(ywz500, ywz400), GT)) new_esEs19(Integer(ywz5000), Integer(ywz4000)) -> new_primEqInt(ywz5000, ywz4000) new_lt6(ywz5000, ywz4000) -> new_esEs8(new_compare9(ywz5000, ywz4000), LT) new_lt15(ywz5000, ywz4000, app(ty_Maybe, dd)) -> new_lt18(ywz5000, ywz4000, dd) new_esEs21(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Char) -> new_ltEs9(ywz500, ywz400) new_compare33(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_compare15(ywz5000, ywz4000, bcf, bcg) new_esEs10(ywz5001, ywz4001, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs5(ywz5001, ywz4001, fc, fd, ff) new_ltEs19(ywz5001, ywz4001, ty_Double) -> new_ltEs8(ywz5001, ywz4001) new_ltEs11(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, fb) -> new_pePe(new_lt20(ywz5000, ywz4000, de), new_asAs(new_esEs28(ywz5000, ywz4000, de), new_pePe(new_lt19(ywz5001, ywz4001, df), new_asAs(new_esEs27(ywz5001, ywz4001, df), new_ltEs20(ywz5002, ywz4002, fb))))) new_esEs23(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Integer) -> new_ltEs15(ywz5002, ywz4002) new_esEs21(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, app(app(ty_Either, da), db)) -> new_esEs6(ywz5000, ywz4000, da, db) new_esEs23(ywz5000, ywz4000, app(app(ty_@2, cb), cc)) -> new_esEs4(ywz5000, ywz4000, cb, cc) new_esEs28(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, app(app(ty_Either, bcf), bcg)) -> new_esEs6(ywz5000, ywz4000, bcf, bcg) new_esEs26(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Char) -> new_ltEs9(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, app(app(ty_Either, bf), bg)) -> new_ltEs5(ywz5001, ywz4001, bf, bg) new_esEs9(ywz5002, ywz4002, ty_Int) -> new_esEs20(ywz5002, ywz4002) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Double, hf) -> new_ltEs8(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_Ordering) -> new_ltEs10(ywz500, ywz400) new_compare16(ywz5000, ywz4000, True) -> LT new_primMulInt(Pos(ywz50010), Neg(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_primMulInt(Neg(ywz50010), Pos(ywz40000)) -> Neg(new_primMulNat0(ywz50010, ywz40000)) new_esEs11(ywz5000, ywz4000, app(ty_Maybe, hc)) -> new_esEs7(ywz5000, ywz4000, hc) new_ltEs5(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_ltEs13(ywz5000, ywz4000, bad) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Integer, hf) -> new_ltEs15(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_esEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Float) -> new_ltEs7(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_ltEs19(ywz5001, ywz4001, ty_Integer) -> new_ltEs15(ywz5001, ywz4001) new_primCmpInt(Pos(Succ(ywz50000)), Pos(ywz4000)) -> new_primCmpNat0(ywz50000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(ty_@2, ba), bb)) -> new_esEs4(ywz5001, ywz4001, ba, bb) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdc), bdd)) -> new_ltEs4(ywz5000, ywz4000, bdc, bdd) new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_esEs6(ywz5000, ywz4000, bbd, bbe) new_ltEs5(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_ltEs4(ywz5000, ywz4000, hd, he) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Char, hf) -> new_ltEs9(ywz5000, ywz4000) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bde), bdf), bdg)) -> new_ltEs11(ywz5000, ywz4000, bde, bdf, bdg) new_esEs11(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs22(ywz5001, ywz4001, app(app(app(ty_@3, bc), bd), be)) -> new_esEs5(ywz5001, ywz4001, bc, bd, be) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_ltEs13(ywz5000, ywz4000, bbf) new_lt15(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_sr0(Integer(ywz40000), Integer(ywz50010)) -> Integer(new_primMulInt(ywz40000, ywz50010)) new_ltEs19(ywz5001, ywz4001, app(ty_Ratio, bff)) -> new_ltEs6(ywz5001, ywz4001, bff) new_lt19(ywz5001, ywz4001, app(app(ty_@2, eh), fa)) -> new_lt10(ywz5001, ywz4001, eh, fa) new_primCmpNat0(ywz50000, Zero) -> GT new_lt16(ywz5000, ywz4000) -> new_esEs8(new_compare29(ywz5000, ywz4000), LT) new_primCmpNat2(Zero, Succ(ywz400000)) -> LT new_ltEs4(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, cd) -> new_pePe(new_lt15(ywz5000, ywz4000, h), new_asAs(new_esEs26(ywz5000, ywz4000, h), new_ltEs19(ywz5001, ywz4001, cd))) new_compare30(ywz5000, ywz4000, ce, cf, cg) -> new_compare25(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) new_esEs22(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_compare0([], :(ywz4000, ywz4001), bbh) -> LT new_asAs(True, ywz116) -> ywz116 new_ltEs5(Right(ywz5000), Left(ywz4000), baf, hf) -> False new_esEs26(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare10(ywz5000, ywz4000, False, cb, cc) -> GT new_esEs27(ywz5001, ywz4001, ty_Integer) -> new_esEs19(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(app(ty_Either, ed), ee)) -> new_esEs6(ywz5002, ywz4002, ed, ee) new_lt20(ywz5000, ywz4000, app(app(ty_@2, gc), gd)) -> new_lt10(ywz5000, ywz4000, gc, gd) new_ltEs10(LT, LT) -> True new_esEs10(ywz5001, ywz4001, app(ty_[], ga)) -> new_esEs17(ywz5001, ywz4001, ga) new_esEs9(ywz5002, ywz4002, ty_@0) -> new_esEs18(ywz5002, ywz4002) new_esEs6(Left(ywz5000), Right(ywz4000), baf, hf) -> False new_esEs6(Right(ywz5000), Left(ywz4000), baf, hf) -> False new_compare33(ywz5000, ywz4000, ty_Char) -> new_compare29(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, ty_@0) -> new_compare19(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Char) -> new_ltEs9(ywz5002, ywz4002) new_esEs9(ywz5002, ywz4002, app(ty_Maybe, eg)) -> new_esEs7(ywz5002, ywz4002, eg) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_ltEs16(ywz5000, ywz4000, bbg) new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_Ratio, bfd)) -> new_esEs12(ywz5000, ywz4000, bfd) new_ltEs20(ywz5002, ywz4002, app(app(ty_Either, ed), ee)) -> new_ltEs5(ywz5002, ywz4002, ed, ee) new_esEs11(ywz5000, ywz4000, ty_@0) -> new_esEs18(ywz5000, ywz4000) new_esEs7(Just(ywz5000), Just(ywz4000), ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare13(ywz109, ywz110, True, bfg) -> LT new_esEs7(Just(ywz5000), Just(ywz4000), ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, app(ty_[], dc)) -> new_lt11(ywz5000, ywz4000, dc) new_lt20(ywz5000, ywz4000, ty_Double) -> new_lt5(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, ty_@0) -> new_ltEs14(ywz500, ywz400) new_lt19(ywz5001, ywz4001, ty_Int) -> new_lt8(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, app(ty_[], ef)) -> new_esEs17(ywz5002, ywz4002, ef) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_ltEs5(ywz5000, ywz4000, bbd, bbe) new_lt11(ywz5000, ywz4000, dc) -> new_esEs8(new_compare0(ywz5000, ywz4000, dc), LT) new_primCompAux00(ywz301, EQ) -> ywz301 new_compare0([], [], bbh) -> EQ new_sr(ywz5001, ywz4000) -> new_primMulInt(ywz5001, ywz4000) new_compare31(ywz50, ywz40, bdb) -> new_compare24(ywz50, ywz40, new_esEs7(ywz50, ywz40, bdb), bdb) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Int, hf) -> new_esEs20(ywz5000, ywz4000) new_primMulNat0(Zero, Zero) -> Zero new_lt19(ywz5001, ywz4001, ty_Double) -> new_lt5(ywz5001, ywz4001) new_esEs9(ywz5002, ywz4002, ty_Float) -> new_esEs13(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, ty_Ordering) -> new_esEs8(ywz5001, ywz4001) new_primCmpInt(Neg(Zero), Neg(Succ(ywz40000))) -> new_primCmpNat0(ywz40000, Zero) new_esEs10(ywz5001, ywz4001, ty_Double) -> new_esEs14(ywz5001, ywz4001) new_ltEs18(ywz500, ywz400, app(ty_[], bbh)) -> new_ltEs13(ywz500, ywz400, bbh) new_compare14(ywz5000, ywz4000, False, ce, cf, cg) -> GT new_esEs26(ywz5000, ywz4000, app(app(ty_Either, da), db)) -> new_esEs6(ywz5000, ywz4000, da, db) new_ltEs12(True, False) -> False new_esEs11(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_compare7(Double(ywz5000, Pos(ywz50010)), Double(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_compare7(Double(ywz5000, Neg(ywz50010)), Double(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_primCmpNat1(Zero, ywz50000) -> LT new_esEs27(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_ltEs20(ywz5002, ywz4002, app(ty_Ratio, bed)) -> new_ltEs6(ywz5002, ywz4002, bed) new_esEs23(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_lt17(ywz5000, ywz4000) -> new_esEs8(new_compare32(ywz5000, ywz4000), LT) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primCmpNat2(Zero, Zero) -> EQ new_ltEs19(ywz5001, ywz4001, ty_Int) -> new_ltEs17(ywz5001, ywz4001) new_esEs14(Double(ywz5000, ywz5001), Double(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_ltEs12(False, False) -> True new_esEs21(ywz5000, ywz4000, app(ty_[], bch)) -> new_esEs17(ywz5000, ywz4000, bch) new_compare33(ywz5000, ywz4000, app(app(app(ty_@3, bcc), bcd), bce)) -> new_compare30(ywz5000, ywz4000, bcc, bcd, bce) new_lt5(ywz5000, ywz4000) -> new_esEs8(new_compare7(ywz5000, ywz4000), LT) new_esEs21(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_primEqInt(Neg(Succ(ywz50000)), Neg(Zero)) -> False new_primEqInt(Neg(Zero), Neg(Succ(ywz40000))) -> False new_primEqInt(Pos(Succ(ywz50000)), Pos(Succ(ywz40000))) -> new_primEqNat0(ywz50000, ywz40000) new_esEs21(ywz5000, ywz4000, app(ty_Maybe, bda)) -> new_esEs7(ywz5000, ywz4000, bda) new_ltEs10(GT, GT) -> True new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_esEs4(ywz5000, ywz4000, bag, bah) new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(app(ty_@2, cb), cc)) -> new_esEs4(ywz5000, ywz4000, cb, cc) new_lt15(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Char, hf) -> new_esEs15(ywz5000, ywz4000) new_esEs16(True, True) -> True new_ltEs16(Nothing, Just(ywz4000), bfc) -> True new_esEs6(Right(ywz5000), Right(ywz4000), baf, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs18(ywz500, ywz400, app(app(ty_Either, baf), hf)) -> new_ltEs5(ywz500, ywz400, baf, hf) new_esEs20(ywz500, ywz400) -> new_primEqInt(ywz500, ywz400) new_primEqInt(Pos(Succ(ywz50000)), Neg(ywz4000)) -> False new_primEqInt(Neg(Succ(ywz50000)), Pos(ywz4000)) -> False new_esEs26(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs28(ywz5000, ywz4000, app(ty_Ratio, bef)) -> new_esEs12(ywz5000, ywz4000, bef) new_esEs26(ywz5000, ywz4000, app(ty_[], dc)) -> new_esEs17(ywz5000, ywz4000, dc) new_esEs22(ywz5001, ywz4001, ty_Float) -> new_esEs13(ywz5001, ywz4001) new_lt4(ywz5000, ywz4000) -> new_esEs8(new_compare6(ywz5000, ywz4000), LT) new_ltEs5(Left(ywz5000), Left(ywz4000), ty_Int, hf) -> new_ltEs17(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, ty_Int) -> new_esEs20(ywz5000, ywz4000) new_esEs26(ywz5000, ywz4000, app(ty_Maybe, dd)) -> new_esEs7(ywz5000, ywz4000, dd) new_primCmpInt(Pos(Zero), Pos(Zero)) -> EQ new_ltEs10(LT, EQ) -> True new_esEs23(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_esEs23(ywz5000, ywz4000, app(ty_Ratio, bfe)) -> new_esEs12(ywz5000, ywz4000, bfe) new_lt20(ywz5000, ywz4000, ty_Integer) -> new_lt4(ywz5000, ywz4000) new_primCmpNat1(Succ(ywz40000), ywz50000) -> new_primCmpNat2(ywz40000, ywz50000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Float, hf) -> new_esEs13(ywz5000, ywz4000) new_esEs23(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_ltEs20(ywz5002, ywz4002, ty_Int) -> new_ltEs17(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(ty_Maybe, gb)) -> new_esEs7(ywz5001, ywz4001, gb) new_ltEs18(ywz500, ywz400, app(ty_Ratio, bfb)) -> new_ltEs6(ywz500, ywz400, bfb) new_lt8(ywz209, ywz208) -> new_esEs8(new_compare8(ywz209, ywz208), LT) new_esEs23(ywz5000, ywz4000, ty_Float) -> new_esEs13(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Ratio, bef)) -> new_lt9(ywz5000, ywz4000, bef) new_ltEs20(ywz5002, ywz4002, app(ty_[], ef)) -> new_ltEs13(ywz5002, ywz4002, ef) new_esEs28(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_not(False) -> True new_esEs21(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, False) -> new_compare11(ywz5000, ywz4000, new_ltEs12(ywz5000, ywz4000)) new_lt20(ywz5000, ywz4000, ty_Float) -> new_lt13(ywz5000, ywz4000) new_primCmpInt(Neg(Succ(ywz50000)), Neg(ywz4000)) -> new_primCmpNat1(ywz4000, ywz50000) new_lt13(ywz5000, ywz4000) -> new_esEs8(new_compare28(ywz5000, ywz4000), LT) new_compare0(:(ywz5000, ywz5001), [], bbh) -> GT new_esEs8(LT, GT) -> False new_esEs8(GT, LT) -> False new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Int) -> new_ltEs17(ywz5000, ywz4000) new_primPlusNat0(Succ(ywz21200), Succ(ywz4000000)) -> Succ(Succ(new_primPlusNat0(ywz21200, ywz4000000))) new_esEs27(ywz5001, ywz4001, ty_@0) -> new_esEs18(ywz5001, ywz4001) new_lt19(ywz5001, ywz4001, ty_Char) -> new_lt16(ywz5001, ywz4001) new_ltEs10(EQ, GT) -> True new_ltEs7(ywz500, ywz400) -> new_not(new_esEs8(new_compare28(ywz500, ywz400), GT)) new_esEs28(ywz5000, ywz4000, app(app(app(ty_@3, ge), gf), gg)) -> new_esEs5(ywz5000, ywz4000, ge, gf, gg) new_compare28(Float(ywz5000, Pos(ywz50010)), Float(ywz4000, Pos(ywz40010))) -> new_compare8(new_sr(ywz5000, Pos(ywz40010)), new_sr(Pos(ywz50010), ywz4000)) new_compare18(ywz5000, ywz4000, cb, cc) -> new_compare23(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) new_esEs5(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, fb) -> new_asAs(new_esEs11(ywz5000, ywz4000, de), new_asAs(new_esEs10(ywz5001, ywz4001, df), new_esEs9(ywz5002, ywz4002, fb))) new_ltEs10(EQ, EQ) -> True new_ltEs8(ywz500, ywz400) -> new_not(new_esEs8(new_compare7(ywz500, ywz400), GT)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(ty_[], beb)) -> new_ltEs13(ywz5000, ywz4000, beb) new_lt15(ywz5000, ywz4000, app(app(app(ty_@3, ce), cf), cg)) -> new_lt14(ywz5000, ywz4000, ce, cf, cg) new_esEs27(ywz5001, ywz4001, ty_Int) -> new_esEs20(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Int) -> new_lt8(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Double, hf) -> new_esEs14(ywz5000, ywz4000) new_lt15(ywz5000, ywz4000, ty_@0) -> new_lt12(ywz5000, ywz4000) new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(ty_Ratio, beh)) -> new_esEs12(ywz5000, ywz4000, beh) new_primCmpInt(Pos(Zero), Neg(Zero)) -> EQ new_primCmpInt(Neg(Zero), Pos(Zero)) -> EQ new_compare0(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_primCompAux0(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) new_compare33(ywz5000, ywz4000, app(ty_Ratio, bfa)) -> new_compare17(ywz5000, ywz4000, bfa) new_esEs22(ywz5001, ywz4001, app(ty_[], bh)) -> new_esEs17(ywz5001, ywz4001, bh) new_esEs6(Left(ywz5000), Left(ywz4000), ty_Integer, hf) -> new_esEs19(ywz5000, ywz4000) new_esEs21(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Bool) -> new_ltEs12(ywz5000, ywz4000) new_esEs6(Left(ywz5000), Left(ywz4000), ty_@0, hf) -> new_esEs18(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Double) -> new_esEs14(ywz5002, ywz4002) new_esEs27(ywz5001, ywz4001, app(app(ty_@2, eh), fa)) -> new_esEs4(ywz5001, ywz4001, eh, fa) new_esEs27(ywz5001, ywz4001, app(app(ty_Either, fg), fh)) -> new_esEs6(ywz5001, ywz4001, fg, fh) new_compare29(Char(ywz5000), Char(ywz4000)) -> new_primCmpNat2(ywz5000, ywz4000) new_compare11(ywz5000, ywz4000, True) -> LT new_esEs13(Float(ywz5000, ywz5001), Float(ywz4000, ywz4001)) -> new_esEs20(new_sr(ywz5000, ywz4001), new_sr(ywz5001, ywz4000)) new_lt19(ywz5001, ywz4001, ty_Bool) -> new_lt6(ywz5001, ywz4001) new_esEs22(ywz5001, ywz4001, ty_Bool) -> new_esEs16(ywz5001, ywz4001) new_primEqInt(Neg(Zero), Neg(Zero)) -> True new_esEs11(ywz5000, ywz4000, ty_Char) -> new_esEs15(ywz5000, ywz4000) new_compare33(ywz5000, ywz4000, app(app(ty_@2, bca), bcb)) -> new_compare18(ywz5000, ywz4000, bca, bcb) new_esEs28(ywz5000, ywz4000, app(app(ty_@2, gc), gd)) -> new_esEs4(ywz5000, ywz4000, gc, gd) new_esEs25(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare28(Float(ywz5000, Neg(ywz50010)), Float(ywz4000, Neg(ywz40010))) -> new_compare8(new_sr(ywz5000, Neg(ywz40010)), new_sr(Neg(ywz50010), ywz4000)) new_esEs6(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_esEs17(ywz5000, ywz4000, bbf) new_primCompAux0(ywz5000, ywz4000, ywz253, bbh) -> new_primCompAux00(ywz253, new_compare33(ywz5000, ywz4000, bbh)) new_ltEs16(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdh), bea)) -> new_ltEs5(ywz5000, ywz4000, bdh, bea) new_lt19(ywz5001, ywz4001, ty_Float) -> new_lt13(ywz5001, ywz4001) new_lt20(ywz5000, ywz4000, ty_Char) -> new_lt16(ywz5000, ywz4000) new_primCmpInt(Pos(Zero), Pos(Succ(ywz40000))) -> new_primCmpNat1(Zero, ywz40000) new_esEs26(ywz5000, ywz4000, app(app(app(ty_@3, ce), cf), cg)) -> new_esEs5(ywz5000, ywz4000, ce, cf, cg) new_esEs16(False, False) -> True new_esEs7(Just(ywz5000), Just(ywz4000), ty_Double) -> new_esEs14(ywz5000, ywz4000) new_esEs9(ywz5002, ywz4002, ty_Char) -> new_esEs15(ywz5002, ywz4002) new_esEs23(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_lt20(ywz5000, ywz4000, app(ty_Maybe, hc)) -> new_lt18(ywz5000, ywz4000, hc) new_esEs28(ywz5000, ywz4000, ty_Ordering) -> new_esEs8(ywz5000, ywz4000) new_esEs10(ywz5001, ywz4001, ty_Char) -> new_esEs15(ywz5001, ywz4001) new_ltEs15(ywz500, ywz400) -> new_not(new_esEs8(new_compare6(ywz500, ywz400), GT)) new_esEs11(ywz5000, ywz4000, app(ty_[], hb)) -> new_esEs17(ywz5000, ywz4000, hb) new_ltEs16(Just(ywz5000), Just(ywz4000), ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_esEs11(ywz5000, ywz4000, ty_Double) -> new_esEs14(ywz5000, ywz4000) new_primEqInt(Pos(Zero), Neg(Zero)) -> True new_primEqInt(Neg(Zero), Pos(Zero)) -> True new_esEs7(Just(ywz5000), Just(ywz4000), app(ty_[], beb)) -> new_esEs17(ywz5000, ywz4000, beb) new_esEs26(ywz5000, ywz4000, app(ty_Ratio, bfe)) -> new_esEs12(ywz5000, ywz4000, bfe) new_lt19(ywz5001, ywz4001, ty_Ordering) -> new_lt17(ywz5001, ywz4001) new_lt15(ywz5000, ywz4000, app(app(ty_@2, cb), cc)) -> new_lt10(ywz5000, ywz4000, cb, cc) new_esEs28(ywz5000, ywz4000, app(app(ty_Either, gh), ha)) -> new_esEs6(ywz5000, ywz4000, gh, ha) new_primEqNat0(Zero, Zero) -> True new_esEs15(Char(ywz5000), Char(ywz4000)) -> new_primEqNat0(ywz5000, ywz4000) new_ltEs5(Right(ywz5000), Right(ywz4000), baf, ty_Ordering) -> new_ltEs10(ywz5000, ywz4000) new_ltEs10(LT, GT) -> True new_ltEs5(Left(ywz5000), Left(ywz4000), ty_@0, hf) -> new_ltEs14(ywz5000, ywz4000) new_esEs17(:(ywz5000, ywz5001), [], bbh) -> False new_esEs17([], :(ywz4000, ywz4001), bbh) -> False new_asAs(False, ywz116) -> False new_compare33(ywz5000, ywz4000, app(ty_[], bch)) -> new_compare0(ywz5000, ywz4000, bch) new_ltEs13(ywz500, ywz400, bbh) -> new_not(new_esEs8(new_compare0(ywz500, ywz400, bbh), GT)) new_compare24(Nothing, Nothing, False, bdb) -> LT new_lt19(ywz5001, ywz4001, ty_Integer) -> new_lt4(ywz5001, ywz4001) new_esEs17(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_asAs(new_esEs21(ywz5000, ywz4000, bbh), new_esEs17(ywz5001, ywz4001, bbh)) new_esEs11(ywz5000, ywz4000, ty_Bool) -> new_esEs16(ywz5000, ywz4000) new_ltEs19(ywz5001, ywz4001, ty_Ordering) -> new_ltEs10(ywz5001, ywz4001) new_esEs8(EQ, GT) -> False new_esEs8(GT, EQ) -> False new_ltEs20(ywz5002, ywz4002, ty_Ordering) -> new_ltEs10(ywz5002, ywz4002) new_esEs26(ywz5000, ywz4000, ty_Integer) -> new_esEs19(ywz5000, ywz4000) new_compare27(ywz5000, ywz4000, True) -> EQ new_compare12(ywz5000, ywz4000, True, da, db) -> LT new_lt9(ywz5000, ywz4000, bfe) -> new_esEs8(new_compare17(ywz5000, ywz4000, bfe), LT) new_lt20(ywz5000, ywz4000, ty_Bool) -> new_lt6(ywz5000, ywz4000) new_esEs16(False, True) -> False new_esEs16(True, False) -> False new_esEs12(:%(ywz5000, ywz5001), :%(ywz4000, ywz4001), bfb) -> new_asAs(new_esEs25(ywz5000, ywz4000, bfb), new_esEs24(ywz5001, ywz4001, bfb)) new_esEs27(ywz5001, ywz4001, app(app(app(ty_@3, fc), fd), ff)) -> new_esEs5(ywz5001, ywz4001, fc, fd, ff) The set Q consists of the following terms: new_esEs9(x0, x1, ty_Bool) new_esEs8(EQ, EQ) new_ltEs16(Just(x0), Just(x1), ty_Ordering) new_esEs10(x0, x1, ty_@0) new_esEs23(x0, x1, ty_@0) new_esEs24(x0, x1, ty_Integer) new_ltEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs6(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_esEs11(x0, x1, ty_Char) new_esEs10(x0, x1, app(ty_[], x2)) new_esEs23(x0, x1, ty_Bool) new_ltEs5(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) new_ltEs5(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_esEs7(Just(x0), Just(x1), ty_Ordering) new_esEs7(Just(x0), Just(x1), ty_Int) new_ltEs20(x0, x1, ty_Float) new_ltEs16(Just(x0), Just(x1), ty_Double) new_compare13(x0, x1, False, x2) new_compare33(x0, x1, ty_Char) new_lt20(x0, x1, ty_Char) new_ltEs10(LT, LT) new_ltEs5(Left(x0), Left(x1), ty_Float, x2) new_lt19(x0, x1, ty_Double) new_primCompAux0(x0, x1, x2, x3) new_ltEs19(x0, x1, ty_Char) new_esEs19(Integer(x0), Integer(x1)) new_primEqInt(Pos(Zero), Pos(Zero)) new_esEs6(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_esEs21(x0, x1, ty_Integer) new_esEs17(:(x0, x1), :(x2, x3), x4) new_esEs6(Left(x0), Left(x1), app(ty_Ratio, x2), x3) new_lt11(x0, x1, x2) new_esEs27(x0, x1, app(ty_Maybe, x2)) new_lt15(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare24(Nothing, Just(x0), False, x1) new_esEs28(x0, x1, app(ty_[], x2)) new_ltEs18(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Int) new_compare10(x0, x1, True, x2, x3) new_esEs27(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primCompAux00(x0, LT) new_ltEs5(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) new_lt20(x0, x1, ty_Int) new_ltEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, app(ty_[], x2)) new_primEqInt(Neg(Zero), Neg(Succ(x0))) new_esEs21(x0, x1, ty_@0) new_primCmpNat1(Succ(x0), x1) new_lt15(x0, x1, ty_Float) new_esEs7(Just(x0), Nothing, x1) new_primEqInt(Neg(Zero), Neg(Zero)) new_lt19(x0, x1, ty_Ordering) new_esEs22(x0, x1, ty_Integer) new_lt20(x0, x1, ty_@0) new_primEqNat0(Succ(x0), Zero) new_lt15(x0, x1, ty_Integer) new_compare24(Just(x0), Just(x1), False, x2) new_ltEs18(x0, x1, ty_Int) new_compare7(Double(x0, Pos(x1)), Double(x2, Neg(x3))) new_compare7(Double(x0, Neg(x1)), Double(x2, Pos(x3))) new_compare33(x0, x1, ty_Double) new_ltEs19(x0, x1, ty_Ordering) new_esEs21(x0, x1, app(ty_Maybe, x2)) new_primEqInt(Pos(Zero), Neg(Succ(x0))) new_primEqInt(Neg(Zero), Pos(Succ(x0))) new_esEs22(x0, x1, ty_@0) new_esEs17([], [], x0) new_esEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_ltEs20(x0, x1, ty_Integer) new_esEs10(x0, x1, app(ty_Ratio, x2)) new_ltEs19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs14(Double(x0, x1), Double(x2, x3)) new_compare7(Double(x0, Neg(x1)), Double(x2, Neg(x3))) new_compare33(x0, x1, ty_Bool) new_compare33(x0, x1, app(ty_Ratio, x2)) new_compare30(x0, x1, x2, x3, x4) new_primCmpNat1(Zero, x0) new_esEs11(x0, x1, ty_Double) new_esEs25(x0, x1, ty_Int) new_esEs11(x0, x1, ty_@0) new_lt15(x0, x1, app(ty_[], x2)) new_ltEs16(Just(x0), Just(x1), ty_Char) new_ltEs10(GT, EQ) new_ltEs10(EQ, GT) new_compare14(x0, x1, True, x2, x3, x4) new_ltEs16(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_ltEs20(x0, x1, app(app(ty_@2, x2), x3)) new_primPlusNat1(Zero, x0) new_compare8(x0, x1) new_lt19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_lt20(x0, x1, ty_Double) new_esEs11(x0, x1, ty_Int) new_primEqInt(Pos(Zero), Neg(Zero)) new_primEqInt(Neg(Zero), Pos(Zero)) new_esEs7(Just(x0), Just(x1), ty_Char) new_compare33(x0, x1, ty_Int) new_ltEs18(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), ty_Int) new_primCmpInt(Pos(Zero), Pos(Succ(x0))) new_esEs7(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) new_esEs9(x0, x1, ty_Integer) new_esEs16(True, True) new_esEs7(Just(x0), Just(x1), ty_Double) new_esEs6(Left(x0), Left(x1), app(ty_[], x2), x3) new_lt14(x0, x1, x2, x3, x4) new_ltEs18(x0, x1, ty_Char) new_ltEs20(x0, x1, ty_Bool) new_ltEs19(x0, x1, ty_Integer) new_esEs23(x0, x1, app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Float, x2) new_esEs7(Just(x0), Just(x1), ty_Bool) new_compare210(x0, x1, True) new_esEs23(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), ty_@0) new_ltEs16(Just(x0), Nothing, x1) new_lt20(x0, x1, ty_Bool) new_lt19(x0, x1, app(ty_Maybe, x2)) new_compare6(Integer(x0), Integer(x1)) new_lt15(x0, x1, ty_Bool) new_compare33(x0, x1, ty_@0) new_esEs22(x0, x1, ty_Bool) new_lt15(x0, x1, app(app(ty_Either, x2), x3)) new_primEqInt(Pos(Succ(x0)), Neg(x1)) new_primEqInt(Neg(Succ(x0)), Pos(x1)) new_primCmpNat2(Succ(x0), Zero) new_esEs9(x0, x1, ty_Ordering) new_esEs6(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) new_esEs24(x0, x1, ty_Int) new_esEs23(x0, x1, ty_Double) new_lt12(x0, x1) new_esEs21(x0, x1, ty_Ordering) new_ltEs9(x0, x1) new_ltEs5(Left(x0), Left(x1), app(ty_[], x2), x3) new_ltEs5(Left(x0), Left(x1), ty_Bool, x2) new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs5(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare0(:(x0, x1), [], x2) new_lt7(x0, x1, x2, x3) new_esEs6(Left(x0), Left(x1), ty_@0, x2) new_esEs11(x0, x1, app(ty_Maybe, x2)) new_esEs21(x0, x1, ty_Float) new_esEs22(x0, x1, ty_Char) new_ltEs8(x0, x1) new_ltEs10(EQ, LT) new_ltEs10(GT, GT) new_ltEs10(LT, EQ) new_compare33(x0, x1, app(ty_Maybe, x2)) new_esEs28(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Integer) new_compare12(x0, x1, False, x2, x3) new_ltEs5(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) new_ltEs18(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs18(x0, x1, ty_@0) new_lt20(x0, x1, app(ty_Maybe, x2)) new_ltEs7(x0, x1) new_esEs22(x0, x1, ty_Int) new_lt8(x0, x1) new_esEs23(x0, x1, ty_Ordering) new_lt13(x0, x1) new_esEs9(x0, x1, ty_Double) new_lt6(x0, x1) new_ltEs20(x0, x1, app(ty_Ratio, x2)) new_esEs28(x0, x1, app(app(ty_@2, x2), x3)) new_compare26(x0, x1, False, x2, x3) new_esEs6(Right(x0), Right(x1), x2, ty_Bool) new_lt20(x0, x1, app(app(ty_Either, x2), x3)) new_primPlusNat0(Succ(x0), Succ(x1)) new_esEs21(x0, x1, ty_Int) new_esEs21(x0, x1, app(ty_[], x2)) new_esEs27(x0, x1, ty_Double) new_ltEs17(x0, x1) new_esEs23(x0, x1, app(ty_[], x2)) new_compare27(x0, x1, False) new_ltEs13(x0, x1, x2) new_lt9(x0, x1, x2) new_esEs22(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Float) new_esEs28(x0, x1, ty_Integer) new_ltEs16(Just(x0), Just(x1), app(ty_Ratio, x2)) new_lt15(x0, x1, ty_@0) new_esEs10(x0, x1, ty_Ordering) new_lt20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs8(GT, GT) new_lt19(x0, x1, ty_@0) new_ltEs20(x0, x1, ty_@0) new_esEs8(LT, EQ) new_esEs8(EQ, LT) new_primCmpNat2(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Zero)) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_lt18(x0, x1, x2) new_esEs7(Nothing, Nothing, x0) new_ltEs5(Right(x0), Right(x1), x2, ty_Double) new_esEs11(x0, x1, app(ty_[], x2)) new_ltEs19(x0, x1, ty_Bool) new_esEs7(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, ty_Int) new_ltEs19(x0, x1, ty_Float) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_esEs8(LT, LT) new_primCmpInt(Pos(Zero), Neg(Zero)) new_primCmpInt(Neg(Zero), Pos(Zero)) new_esEs10(x0, x1, ty_Integer) new_lt19(x0, x1, app(app(ty_@2, x2), x3)) new_lt20(x0, x1, ty_Float) new_esEs10(x0, x1, ty_Int) new_esEs22(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs21(x0, x1, ty_Char) new_esEs20(x0, x1) new_compare33(x0, x1, app(app(ty_@2, x2), x3)) new_esEs16(False, False) new_esEs26(x0, x1, ty_Char) new_ltEs5(Right(x0), Right(x1), x2, ty_@0) new_compare31(x0, x1, x2) new_esEs28(x0, x1, ty_Ordering) new_esEs10(x0, x1, ty_Char) new_ltEs5(Left(x0), Left(x1), ty_Integer, x2) new_compare19(@0, @0) new_primPlusNat0(Succ(x0), Zero) new_ltEs4(@2(x0, x1), @2(x2, x3), x4, x5) new_esEs10(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs19(x0, x1, ty_Int) new_compare33(x0, x1, ty_Integer) new_ltEs5(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_esEs6(Right(x0), Right(x1), x2, ty_Float) new_esEs10(x0, x1, ty_Bool) new_esEs9(x0, x1, ty_@0) new_esEs26(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_compare33(x0, x1, app(ty_[], x2)) new_compare32(x0, x1) new_esEs11(x0, x1, app(app(ty_Either, x2), x3)) new_esEs27(x0, x1, app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare33(x0, x1, ty_Ordering) new_compare16(x0, x1, True) new_esEs15(Char(x0), Char(x1)) new_esEs26(x0, x1, ty_Float) new_esEs21(x0, x1, ty_Bool) new_compare23(x0, x1, True, x2, x3) new_compare0([], :(x0, x1), x2) new_ltEs18(x0, x1, app(ty_Maybe, x2)) new_lt19(x0, x1, ty_Float) new_esEs13(Float(x0, x1), Float(x2, x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Char) new_esEs5(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) new_esEs26(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, ty_Int) new_ltEs5(Left(x0), Left(x1), ty_Ordering, x2) new_ltEs5(Left(x0), Left(x1), ty_Double, x2) new_esEs6(Right(x0), Right(x1), x2, ty_Char) new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) new_compare12(x0, x1, True, x2, x3) new_esEs7(Just(x0), Just(x1), app(ty_Maybe, x2)) new_asAs(True, x0) new_primMulNat0(Zero, Zero) new_compare18(x0, x1, x2, x3) new_primCompAux00(x0, GT) new_lt15(x0, x1, ty_Double) new_ltEs16(Just(x0), Just(x1), app(ty_Maybe, x2)) new_esEs28(x0, x1, ty_@0) new_primMulInt(Pos(x0), Pos(x1)) new_ltEs20(x0, x1, ty_Double) new_compare27(x0, x1, True) new_ltEs5(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) new_compare33(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, app(ty_Ratio, x2)) new_lt15(x0, x1, ty_Ordering) new_ltEs10(EQ, EQ) new_esEs21(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare15(x0, x1, x2, x3) new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) new_ltEs18(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs5(Left(x0), Right(x1), x2, x3) new_ltEs5(Right(x0), Left(x1), x2, x3) new_esEs17(:(x0, x1), [], x2) new_ltEs19(x0, x1, app(app(ty_@2, x2), x3)) new_esEs10(x0, x1, app(app(ty_@2, x2), x3)) new_primMulNat0(Succ(x0), Zero) new_primMulInt(Pos(x0), Neg(x1)) new_primMulInt(Neg(x0), Pos(x1)) new_esEs9(x0, x1, app(app(ty_Either, x2), x3)) new_compare25(x0, x1, True, x2, x3, x4) new_primCmpNat2(Zero, Zero) new_ltEs20(x0, x1, ty_Int) new_esEs7(Just(x0), Just(x1), ty_Float) new_esEs6(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_lt20(x0, x1, app(ty_[], x2)) new_esEs6(Left(x0), Left(x1), ty_Double, x2) new_esEs27(x0, x1, ty_Bool) new_primMulNat0(Succ(x0), Succ(x1)) new_compare9(x0, x1) new_esEs27(x0, x1, app(ty_Ratio, x2)) new_compare11(x0, x1, True) new_ltEs20(x0, x1, ty_Ordering) new_esEs27(x0, x1, app(app(ty_Either, x2), x3)) new_compare24(Just(x0), Nothing, False, x1) new_primPlusNat0(Zero, Zero) new_ltEs18(x0, x1, ty_Integer) new_esEs26(x0, x1, ty_Bool) new_ltEs18(x0, x1, ty_Float) new_compare33(x0, x1, ty_Float) new_esEs26(x0, x1, ty_Integer) new_esEs11(x0, x1, ty_Float) new_esEs10(x0, x1, app(ty_Maybe, x2)) new_primMulNat0(Zero, Succ(x0)) new_not(True) new_esEs28(x0, x1, ty_Int) new_primCmpInt(Pos(Succ(x0)), Pos(x1)) new_ltEs10(GT, LT) new_ltEs20(x0, x1, ty_Char) new_ltEs10(LT, GT) new_esEs11(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs20(x0, x1, app(ty_Maybe, x2)) new_esEs6(Left(x0), Left(x1), ty_Char, x2) new_ltEs16(Nothing, Nothing, x0) new_ltEs12(True, True) new_ltEs16(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) new_lt15(x0, x1, ty_Int) new_esEs8(EQ, GT) new_esEs8(GT, EQ) new_lt19(x0, x1, app(ty_Ratio, x2)) new_esEs6(Left(x0), Right(x1), x2, x3) new_esEs6(Right(x0), Left(x1), x2, x3) new_ltEs20(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, ty_Double) new_esEs6(Left(x0), Left(x1), ty_Int, x2) new_primEqInt(Neg(Succ(x0)), Neg(Zero)) new_esEs12(:%(x0, x1), :%(x2, x3), x4) new_compare14(x0, x1, False, x2, x3, x4) new_ltEs5(Right(x0), Right(x1), x2, ty_Ordering) new_lt15(x0, x1, ty_Char) new_esEs7(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_compare28(Float(x0, Pos(x1)), Float(x2, Neg(x3))) new_compare28(Float(x0, Neg(x1)), Float(x2, Pos(x3))) new_ltEs5(Left(x0), Left(x1), app(ty_Maybe, x2), x3) new_esEs10(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare17(:%(x0, x1), :%(x2, x3), ty_Int) new_ltEs12(False, True) new_ltEs12(True, False) new_ltEs18(x0, x1, ty_Bool) new_esEs26(x0, x1, ty_Ordering) new_esEs7(Just(x0), Just(x1), app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_Ordering) new_pePe(True, x0) new_ltEs5(Left(x0), Left(x1), ty_Int, x2) new_esEs11(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs28(x0, x1, ty_Double) new_esEs28(x0, x1, ty_Char) new_compare33(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_ltEs18(x0, x1, app(ty_[], x2)) new_compare24(x0, x1, True, x2) new_esEs27(x0, x1, ty_@0) new_esEs28(x0, x1, ty_Bool) new_ltEs5(Left(x0), Left(x1), ty_@0, x2) new_ltEs19(x0, x1, app(ty_[], x2)) new_compare28(Float(x0, Pos(x1)), Float(x2, Pos(x3))) new_compare25(x0, x1, False, x2, x3, x4) new_ltEs5(Left(x0), Left(x1), ty_Char, x2) new_esEs21(x0, x1, app(app(ty_@2, x2), x3)) new_ltEs16(Just(x0), Just(x1), ty_Float) new_ltEs15(x0, x1) new_esEs22(x0, x1, app(app(ty_@2, x2), x3)) new_esEs26(x0, x1, app(ty_Maybe, x2)) new_primMulInt(Neg(x0), Neg(x1)) new_primCmpInt(Pos(Zero), Pos(Zero)) new_primEqNat0(Succ(x0), Succ(x1)) new_esEs27(x0, x1, ty_Float) new_ltEs14(x0, x1) new_ltEs19(x0, x1, app(ty_Ratio, x2)) new_esEs9(x0, x1, ty_Float) new_esEs23(x0, x1, ty_Float) new_ltEs20(x0, x1, app(ty_[], x2)) new_lt19(x0, x1, ty_Bool) new_lt19(x0, x1, app(ty_[], x2)) new_esEs27(x0, x1, ty_Ordering) new_compare11(x0, x1, False) new_compare23(x0, x1, False, x2, x3) new_esEs28(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_primPlusNat1(Succ(x0), x1) new_asAs(False, x0) new_esEs26(x0, x1, ty_Double) new_esEs27(x0, x1, ty_Int) new_esEs21(x0, x1, ty_Double) new_compare13(x0, x1, True, x2) new_esEs10(x0, x1, ty_Double) new_esEs8(LT, GT) new_esEs8(GT, LT) new_compare0(:(x0, x1), :(x2, x3), x4) new_esEs21(x0, x1, app(ty_Ratio, x2)) new_esEs28(x0, x1, app(ty_Maybe, x2)) new_lt17(x0, x1) new_sr(x0, x1) new_esEs28(x0, x1, ty_Float) new_pePe(False, x0) new_esEs27(x0, x1, ty_Char) new_esEs6(Left(x0), Left(x1), ty_Bool, x2) new_esEs22(x0, x1, ty_Ordering) new_lt19(x0, x1, ty_Integer) new_esEs7(Just(x0), Just(x1), ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(ty_[], x3)) new_compare16(x0, x1, False) new_lt20(x0, x1, ty_Integer) new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) new_esEs28(x0, x1, app(app(ty_Either, x2), x3)) new_esEs9(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs6(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) new_lt20(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(ty_[], x2)) new_lt5(x0, x1) new_esEs7(Just(x0), Just(x1), app(ty_[], x2)) new_compare210(x0, x1, False) new_esEs17([], :(x0, x1), x2) new_ltEs5(Right(x0), Right(x1), x2, ty_Integer) new_lt20(x0, x1, app(app(ty_@2, x2), x3)) new_esEs18(@0, @0) new_lt15(x0, x1, app(app(ty_@2, x2), x3)) new_esEs7(Just(x0), Just(x1), ty_Integer) new_primCmpInt(Pos(Zero), Neg(Succ(x0))) new_primCmpInt(Neg(Zero), Pos(Succ(x0))) new_lt15(x0, x1, app(ty_Ratio, x2)) new_ltEs16(Just(x0), Just(x1), ty_Bool) new_lt20(x0, x1, ty_Ordering) new_lt15(x0, x1, app(ty_Maybe, x2)) new_ltEs16(Nothing, Just(x0), x1) new_compare7(Double(x0, Pos(x1)), Double(x2, Pos(x3))) new_primEqInt(Pos(Zero), Pos(Succ(x0))) new_primEqNat0(Zero, Zero) new_primCmpInt(Neg(Succ(x0)), Pos(x1)) new_primCmpInt(Pos(Succ(x0)), Neg(x1)) new_ltEs16(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) new_esEs11(x0, x1, ty_Bool) new_ltEs16(Just(x0), Just(x1), app(ty_[], x2)) new_primCmpNat0(x0, Zero) new_esEs6(Left(x0), Left(x1), ty_Integer, x2) new_ltEs5(Right(x0), Right(x1), x2, ty_Float) new_not(False) new_ltEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_esEs25(x0, x1, ty_Integer) new_esEs23(x0, x1, ty_Char) new_esEs21(x0, x1, app(app(ty_Either, x2), x3)) new_esEs6(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) new_ltEs5(Right(x0), Right(x1), x2, ty_Bool) new_primEqInt(Pos(Succ(x0)), Pos(Zero)) new_ltEs18(x0, x1, app(ty_Ratio, x2)) new_esEs11(x0, x1, ty_Ordering) new_ltEs19(x0, x1, app(ty_Maybe, x2)) new_esEs9(x0, x1, app(ty_Maybe, x2)) new_ltEs12(False, False) new_esEs26(x0, x1, app(ty_[], x2)) new_esEs9(x0, x1, ty_Char) new_compare28(Float(x0, Neg(x1)), Float(x2, Neg(x3))) new_primEqNat0(Zero, Succ(x0)) new_esEs9(x0, x1, app(app(ty_@2, x2), x3)) new_primCmpInt(Neg(Succ(x0)), Neg(x1)) new_ltEs6(x0, x1, x2) new_compare10(x0, x1, False, x2, x3) new_esEs23(x0, x1, ty_Int) new_ltEs5(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) new_esEs6(Right(x0), Right(x1), x2, ty_Double) new_ltEs19(x0, x1, ty_Double) new_esEs22(x0, x1, app(ty_Maybe, x2)) new_esEs16(False, True) new_esEs16(True, False) new_primCmpNat0(x0, Succ(x1)) new_lt19(x0, x1, ty_Char) new_esEs11(x0, x1, app(ty_Ratio, x2)) new_esEs22(x0, x1, app(app(ty_Either, x2), x3)) new_ltEs16(Just(x0), Just(x1), ty_Integer) new_sr0(Integer(x0), Integer(x1)) new_ltEs5(Right(x0), Right(x1), x2, ty_Int) new_compare26(x0, x1, True, x2, x3) new_lt10(x0, x1, x2, x3) new_compare29(Char(x0), Char(x1)) new_esEs6(Left(x0), Left(x1), ty_Ordering, x2) new_esEs27(x0, x1, app(ty_[], x2)) new_esEs9(x0, x1, ty_Int) new_ltEs18(x0, x1, app(app(ty_Either, x2), x3)) new_lt4(x0, x1) new_primCmpNat2(Succ(x0), Succ(x1)) new_lt16(x0, x1) new_primPlusNat0(Zero, Succ(x0)) new_primCmpInt(Neg(Zero), Neg(Succ(x0))) new_lt19(x0, x1, app(app(ty_Either, x2), x3)) new_esEs22(x0, x1, app(ty_Ratio, x2)) new_esEs23(x0, x1, app(ty_Ratio, x2)) new_esEs6(Right(x0), Right(x1), x2, ty_@0) new_esEs7(Nothing, Just(x0), x1) new_ltEs19(x0, x1, ty_@0) new_esEs6(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) new_compare0([], [], x0) new_compare24(Nothing, Nothing, False, x0) new_esEs11(x0, x1, ty_Integer) new_esEs27(x0, x1, ty_Integer) new_primCompAux00(x0, EQ) new_compare17(:%(x0, x1), :%(x2, x3), ty_Integer) We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (98) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_lt(ywz50, ywz40, bdb) -> new_compare22(ywz50, ywz40, new_esEs7(ywz50, ywz40, bdb), bdb) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4 *new_compare5(ywz50, ywz40, bdb) -> new_compare22(ywz50, ywz40, new_esEs7(ywz50, ywz40, bdb), bdb) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_[], ef)) -> new_ltEs2(ywz5002, ywz4002, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_ltEs0(ywz5002, ywz4002, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_ltEs3(Just(ywz5000), Just(ywz4000), app(ty_[], beb)) -> new_ltEs2(ywz5000, ywz4000, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bde), bdf), bdg)) -> new_ltEs0(ywz5000, ywz4000, bde, bdf, bdg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_@2, dg), dh)) -> new_ltEs(ywz5002, ywz4002, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdc), bdd)) -> new_ltEs(ywz5000, ywz4000, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4 *new_ltEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_compare(ywz5001, ywz4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_compare3(ywz5000, ywz4000, ce, cf, cg) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6 *new_compare(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 4 *new_compare(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_compare(ywz5001, ywz4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_compare22(Just(:(ywz5000, ywz5001)), Just(:(ywz4000, ywz4001)), False, app(ty_[], bbh)) -> new_primCompAux(ywz5000, ywz4000, new_compare0(ywz5001, ywz4001, bbh), bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 4 *new_lt2(ywz5000, ywz4000, da, db) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5 *new_lt0(ywz5000, ywz4000, cb, cc) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5 *new_lt3(ywz5000, ywz4000, dc) -> new_compare(ywz5000, ywz4000, dc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_Either, ed), ee)) -> new_ltEs1(ywz5002, ywz4002, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(app(ty_@3, ce), cf), cg), cd) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5, 3 > 6 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_[], bh)) -> new_ltEs2(ywz5001, ywz4001, bh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(app(ty_@3, bc), bd), be)) -> new_ltEs0(ywz5001, ywz4001, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_ltEs3(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdh), bea)) -> new_ltEs1(ywz5000, ywz4000, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs3(Just(ywz5000), Just(ywz4000), app(ty_Maybe, bec)) -> new_ltEs3(ywz5000, ywz4000, bec) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_@2, ba), bb)) -> new_ltEs(ywz5001, ywz4001, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_Either, bf), bg)) -> new_ltEs1(ywz5001, ywz4001, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_Maybe, eg)) -> new_ltEs3(ywz5002, ywz4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_Maybe, ca)) -> new_ltEs3(ywz5001, ywz4001, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare20(ywz5000, ywz4000, False, ce, cf, cg) -> new_ltEs0(ywz5000, ywz4000, ce, cf, cg) The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4, 6 >= 5 *new_compare21(ywz5000, ywz4000, False, da, db) -> new_ltEs1(ywz5000, ywz4000, da, db) The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4 *new_primCompAux(ywz5000, ywz4000, ywz253, app(app(ty_Either, bcf), bcg)) -> new_compare4(ywz5000, ywz4000, bcf, bcg) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4 *new_lt1(ywz5000, ywz4000, ce, cf, cg) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5, 5 >= 6 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(app(ty_@3, ce), cf), cg)), cd)) -> new_compare20(ywz5000, ywz4000, new_esEs5(ywz5000, ywz4000, ce, cf, cg), ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 4, 4 > 5, 4 > 6 *new_compare2(ywz5000, ywz4000, False, cb, cc) -> new_ltEs(ywz5000, ywz4000, cb, cc) The graph contains the following edges 1 >= 1, 2 >= 2, 4 >= 3, 5 >= 4 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_Either, da), db), cd) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5 *new_primCompAux(ywz5000, ywz4000, ywz253, app(app(app(ty_@3, bcc), bcd), bce)) -> new_compare3(ywz5000, ywz4000, bcc, bcd, bce) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4, 4 > 5 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_Maybe, dd), cd) -> new_lt(ywz5000, ywz4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(ty_Either, da), db)), cd)) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) The graph contains the following edges 1 > 1, 2 > 2, 4 > 4, 4 > 5 *new_compare4(ywz5000, ywz4000, da, db) -> new_compare21(ywz5000, ywz4000, new_esEs6(ywz5000, ywz4000, da, db), da, db) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5 *new_compare1(ywz5000, ywz4000, cb, cc) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 4, 4 >= 5 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_[], dc), cd) -> new_compare(ywz5000, ywz4000, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_@2, cb), cc), cd) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 4, 3 > 5 *new_primCompAux(ywz5000, ywz4000, ywz253, app(ty_[], bch)) -> new_compare(ywz5000, ywz4000, bch) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(app(ty_@2, cb), cc)), cd)) -> new_compare2(ywz5000, ywz4000, new_esEs4(ywz5000, ywz4000, cb, cc), cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 4, 4 > 5 *new_primCompAux(ywz5000, ywz4000, ywz253, app(ty_Maybe, bda)) -> new_compare5(ywz5000, ywz4000, bda) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3 *new_primCompAux(ywz5000, ywz4000, ywz253, app(app(ty_@2, bca), bcb)) -> new_compare1(ywz5000, ywz4000, bca, bcb) The graph contains the following edges 1 >= 1, 2 >= 2, 4 > 3, 4 > 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_[], hb), df, fb) -> new_lt3(ywz5000, ywz4000, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_[], ga), fb) -> new_lt3(ywz5001, ywz4001, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_lt1(ywz5001, ywz4001, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_lt1(ywz5000, ywz4000, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_@2, eh), fa), fb) -> new_lt0(ywz5001, ywz4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_@2, gc), gd), df, fb) -> new_lt0(ywz5000, ywz4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_Maybe, hc), df, fb) -> new_lt(ywz5000, ywz4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_Maybe, gb), fb) -> new_lt(ywz5001, ywz4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_Either, fg), fh), fb) -> new_lt2(ywz5001, ywz4001, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_Either, gh), ha), df, fb) -> new_lt2(ywz5000, ywz4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs1(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_ltEs2(ywz5000, ywz4000, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_ltEs2(ywz5000, ywz4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(ty_[], beb))) -> new_ltEs2(ywz5000, ywz4000, beb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(ty_[], bad)), hf)) -> new_ltEs2(ywz5000, ywz4000, bad) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(ty_[], ef))) -> new_ltEs2(ywz5002, ywz4002, ef) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(ty_[], bh))) -> new_ltEs2(ywz5001, ywz4001, bh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(ty_[], bbf))) -> new_ltEs2(ywz5000, ywz4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_ltEs0(ywz5000, ywz4000, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_ltEs0(ywz5000, ywz4000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(app(ty_@3, bc), bd), be))) -> new_ltEs0(ywz5001, ywz4001, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(app(ty_@3, hg), hh), baa)), hf)) -> new_ltEs0(ywz5000, ywz4000, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(app(ty_@3, ea), eb), ec))) -> new_ltEs0(ywz5002, ywz4002, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(app(ty_@3, bde), bdf), bdg))) -> new_ltEs0(ywz5000, ywz4000, bde, bdf, bdg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(app(ty_@3, bba), bbb), bbc))) -> new_ltEs0(ywz5000, ywz4000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_ltEs(ywz5000, ywz4000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_ltEs(ywz5000, ywz4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_ltEs1(ywz5000, ywz4000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_ltEs1(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_ltEs1(ywz5000, ywz4000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_ltEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_ltEs3(ywz5000, ywz4000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_ltEs1(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_ltEs3(ywz5000, ywz4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(ty_@2, dg), dh))) -> new_ltEs(ywz5002, ywz4002, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(ty_@2, bag), bah))) -> new_ltEs(ywz5000, ywz4000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(ty_@2, ba), bb))) -> new_ltEs(ywz5001, ywz4001, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(ty_@2, bdc), bdd))) -> new_ltEs(ywz5000, ywz4000, bdc, bdd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(ty_@2, hd), he)), hf)) -> new_ltEs(ywz5000, ywz4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(app(ty_Either, bbd), bbe))) -> new_ltEs1(ywz5000, ywz4000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(app(ty_Either, bdh), bea))) -> new_ltEs1(ywz5000, ywz4000, bdh, bea) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(app(ty_Either, bab), bac)), hf)) -> new_ltEs1(ywz5000, ywz4000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(app(ty_Either, bf), bg))) -> new_ltEs1(ywz5001, ywz4001, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(app(ty_Either, ed), ee))) -> new_ltEs1(ywz5002, ywz4002, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(Left(ywz5000)), Just(Left(ywz4000)), False, app(app(ty_Either, app(ty_Maybe, bae)), hf)) -> new_ltEs3(ywz5000, ywz4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(Just(ywz5000)), Just(Just(ywz4000)), False, app(ty_Maybe, app(ty_Maybe, bec))) -> new_ltEs3(ywz5000, ywz4000, bec) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, h), app(ty_Maybe, ca))) -> new_ltEs3(ywz5001, ywz4001, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(Right(ywz5000)), Just(Right(ywz4000)), False, app(app(ty_Either, baf), app(ty_Maybe, bbg))) -> new_ltEs3(ywz5000, ywz4000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), df), app(ty_Maybe, eg))) -> new_ltEs3(ywz5002, ywz4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(ty_[], hb)), df), fb)) -> new_lt3(ywz5000, ywz4000, hb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(ty_[], ga)), fb)) -> new_lt3(ywz5001, ywz4001, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(app(ty_@3, ge), gf), gg)), df), fb)) -> new_lt1(ywz5000, ywz4000, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(app(ty_@3, fc), fd), ff)), fb)) -> new_lt1(ywz5001, ywz4001, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(ty_@2, gc), gd)), df), fb)) -> new_lt0(ywz5000, ywz4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(ty_@2, eh), fa)), fb)) -> new_lt0(ywz5001, ywz4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(ty_Maybe, gb)), fb)) -> new_lt(ywz5001, ywz4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(ty_Maybe, hc)), df), fb)) -> new_lt(ywz5000, ywz4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(ty_Maybe, dd)), cd)) -> new_lt(ywz5000, ywz4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@2(ywz5000, ywz5001)), Just(@2(ywz4000, ywz4001)), False, app(app(ty_@2, app(ty_[], dc)), cd)) -> new_compare(ywz5000, ywz4000, dc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(:(ywz5000, ywz5001)), Just(:(ywz4000, ywz4001)), False, app(ty_[], bbh)) -> new_compare(ywz5001, ywz4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, app(app(ty_Either, gh), ha)), df), fb)) -> new_lt2(ywz5000, ywz4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_compare22(Just(@3(ywz5000, ywz5001, ywz5002)), Just(@3(ywz4000, ywz4001, ywz4002)), False, app(app(app(ty_@3, de), app(app(ty_Either, fg), fh)), fb)) -> new_lt2(ywz5001, ywz4001, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 ---------------------------------------- (99) YES ---------------------------------------- (100) Obligation: Q DP problem: The TRS P consists of the following rules: new_primEqNat(Succ(ywz50000), Succ(ywz40000)) -> new_primEqNat(ywz50000, ywz40000) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (101) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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(ywz50000), Succ(ywz40000)) -> new_primEqNat(ywz50000, ywz40000) The graph contains the following edges 1 > 1, 2 > 2 ---------------------------------------- (102) YES ---------------------------------------- (103) Obligation: Q DP problem: The TRS P consists of the following rules: new_esEs3(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(ywz5000, ywz4000, bdg, bdh) new_esEs1(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_esEs1(ywz5000, ywz4000, bab, bac) new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_esEs3(ywz5000, ywz4000, bbg) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_esEs2(ywz5001, ywz4001, bbh) new_esEs3(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(ywz5000, ywz4000, bdd, bde, bdf) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(ywz5001, ywz4001, fc, fd, ff) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_Maybe, gb), fb) -> new_esEs3(ywz5001, ywz4001, gb) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_@2, cb), cc), cd) -> new_esEs(ywz5000, ywz4000, cb, cc) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(app(ty_@3, bc), bd), be)) -> new_esEs0(ywz5001, ywz4001, bc, bd, be) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(ty_@2, bca), bcb)) -> new_esEs(ywz5000, ywz4000, bca, bcb) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_Maybe, eg)) -> new_esEs3(ywz5002, ywz4002, eg) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(ywz5000, ywz4000, bcc, bcd, bce) new_esEs3(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs3(ywz5000, ywz4000, beb) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_@2, gc), gd), df, fb) -> new_esEs(ywz5000, ywz4000, gc, gd) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_Either, gh), ha), df, fb) -> new_esEs1(ywz5000, ywz4000, gh, ha) new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_esEs2(ywz5000, ywz4000, bbf) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_Maybe, hc), df, fb) -> new_esEs3(ywz5000, ywz4000, hc) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_Maybe, ca)) -> new_esEs3(ywz5001, ywz4001, ca) new_esEs1(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_esEs3(ywz5000, ywz4000, bae) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_Maybe, dd), cd) -> new_esEs3(ywz5000, ywz4000, dd) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(ywz5002, ywz4002, ea, eb, ec) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_@2, ba), bb)) -> new_esEs(ywz5001, ywz4001, ba, bb) new_esEs1(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_esEs0(ywz5000, ywz4000, hg, hh, baa) new_esEs3(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs2(ywz5000, ywz4000, bea) new_esEs1(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_esEs(ywz5000, ywz4000, hd, he) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_Either, bf), bg)) -> new_esEs1(ywz5001, ywz4001, bf, bg) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(ty_Either, bcf), bcg)) -> new_esEs1(ywz5000, ywz4000, bcf, bcg) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(ty_Maybe, bda)) -> new_esEs3(ywz5000, ywz4000, bda) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_Either, da), db), cd) -> new_esEs1(ywz5000, ywz4000, da, db) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_Either, fg), fh), fb) -> new_esEs1(ywz5001, ywz4001, fg, fh) new_esEs3(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs(ywz5000, ywz4000, bdb, bdc) new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(ywz5000, ywz4000, bba, bbb, bbc) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_@2, eh), fa), fb) -> new_esEs(ywz5001, ywz4001, eh, fa) new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(ty_[], bch)) -> new_esEs2(ywz5000, ywz4000, bch) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_[], ef)) -> new_esEs2(ywz5002, ywz4002, ef) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_@2, dg), dh)) -> new_esEs(ywz5002, ywz4002, dg, dh) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(app(ty_@3, ce), cf), cg), cd) -> new_esEs0(ywz5000, ywz4000, ce, cf, cg) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_[], ga), fb) -> new_esEs2(ywz5001, ywz4001, ga) new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_esEs(ywz5000, ywz4000, bag, bah) new_esEs1(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_esEs2(ywz5000, ywz4000, bad) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_[], hb), df, fb) -> new_esEs2(ywz5000, ywz4000, hb) new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_esEs1(ywz5000, ywz4000, bbd, bbe) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_[], bh)) -> new_esEs2(ywz5001, ywz4001, bh) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(ywz5000, ywz4000, ge, gf, gg) new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_Either, ed), ee)) -> new_esEs1(ywz5002, ywz4002, ed, ee) new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_[], dc), cd) -> new_esEs2(ywz5000, ywz4000, dc) R is empty. Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (104) QDPSizeChangeProof (EQUIVALENT) By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] 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_esEs3(Just(ywz5000), Just(ywz4000), app(ty_Maybe, beb)) -> new_esEs3(ywz5000, ywz4000, beb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(ywz5000), Just(ywz4000), app(app(ty_Either, bdg), bdh)) -> new_esEs1(ywz5000, ywz4000, bdg, bdh) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(ty_Maybe, bda)) -> new_esEs3(ywz5000, ywz4000, bda) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(ty_Either, bcf), bcg)) -> new_esEs1(ywz5000, ywz4000, bcf, bcg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs3(Just(ywz5000), Just(ywz4000), app(ty_[], bea)) -> new_esEs2(ywz5000, ywz4000, bea) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs3(Just(ywz5000), Just(ywz4000), app(app(app(ty_@3, bdd), bde), bdf)) -> new_esEs0(ywz5000, ywz4000, bdd, bde, bdf) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs3(Just(ywz5000), Just(ywz4000), app(app(ty_@2, bdb), bdc)) -> new_esEs(ywz5000, ywz4000, bdb, bdc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(ywz5000, ywz4000, bcc, bcd, bce) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(app(ty_@2, bca), bcb)) -> new_esEs(ywz5000, ywz4000, bca, bcb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_Maybe, bbg)) -> new_esEs3(ywz5000, ywz4000, bbg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(ywz5000), Left(ywz4000), app(ty_Maybe, bae), hf) -> new_esEs3(ywz5000, ywz4000, bae) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(ywz5000), Left(ywz4000), app(app(ty_Either, bab), bac), hf) -> new_esEs1(ywz5000, ywz4000, bab, bac) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_Either, bbd), bbe)) -> new_esEs1(ywz5000, ywz4000, bbd, bbe) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(ty_[], bbf)) -> new_esEs2(ywz5000, ywz4000, bbf) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs1(Left(ywz5000), Left(ywz4000), app(ty_[], bad), hf) -> new_esEs2(ywz5000, ywz4000, bad) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs1(Left(ywz5000), Left(ywz4000), app(app(app(ty_@3, hg), hh), baa), hf) -> new_esEs0(ywz5000, ywz4000, hg, hh, baa) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(app(ty_@3, bba), bbb), bbc)) -> new_esEs0(ywz5000, ywz4000, bba, bbb, bbc) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs1(Left(ywz5000), Left(ywz4000), app(app(ty_@2, hd), he), hf) -> new_esEs(ywz5000, ywz4000, hd, he) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs1(Right(ywz5000), Right(ywz4000), baf, app(app(ty_@2, bag), bah)) -> new_esEs(ywz5000, ywz4000, bag, bah) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_Maybe, gb), fb) -> new_esEs3(ywz5001, ywz4001, gb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_Maybe, eg)) -> new_esEs3(ywz5002, ywz4002, eg) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_Maybe, hc), df, fb) -> new_esEs3(ywz5000, ywz4000, hc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_Maybe, ca)) -> new_esEs3(ywz5001, ywz4001, ca) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_Maybe, dd), cd) -> new_esEs3(ywz5000, ywz4000, dd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_Either, gh), ha), df, fb) -> new_esEs1(ywz5000, ywz4000, gh, ha) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_Either, fg), fh), fb) -> new_esEs1(ywz5001, ywz4001, fg, fh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_Either, ed), ee)) -> new_esEs1(ywz5002, ywz4002, ed, ee) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_Either, bf), bg)) -> new_esEs1(ywz5001, ywz4001, bf, bg) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_Either, da), db), cd) -> new_esEs1(ywz5000, ywz4000, da, db) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), bbh) -> new_esEs2(ywz5001, ywz4001, bbh) The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 *new_esEs2(:(ywz5000, ywz5001), :(ywz4000, ywz4001), app(ty_[], bch)) -> new_esEs2(ywz5000, ywz4000, bch) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(ty_[], ef)) -> new_esEs2(ywz5002, ywz4002, ef) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(ty_[], ga), fb) -> new_esEs2(ywz5001, ywz4001, ga) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(ty_[], hb), df, fb) -> new_esEs2(ywz5000, ywz4000, hb) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(ty_[], bh)) -> new_esEs2(ywz5001, ywz4001, bh) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(ty_[], dc), cd) -> new_esEs2(ywz5000, ywz4000, dc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(app(ty_@3, fc), fd), ff), fb) -> new_esEs0(ywz5001, ywz4001, fc, fd, ff) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(app(ty_@3, ea), eb), ec)) -> new_esEs0(ywz5002, ywz4002, ea, eb, ec) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(app(ty_@3, ge), gf), gg), df, fb) -> new_esEs0(ywz5000, ywz4000, ge, gf, gg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), app(app(ty_@2, gc), gd), df, fb) -> new_esEs(ywz5000, ywz4000, gc, gd) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, app(app(ty_@2, eh), fa), fb) -> new_esEs(ywz5001, ywz4001, eh, fa) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 *new_esEs0(@3(ywz5000, ywz5001, ywz5002), @3(ywz4000, ywz4001, ywz4002), de, df, app(app(ty_@2, dg), dh)) -> new_esEs(ywz5002, ywz4002, dg, dh) The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(app(ty_@3, bc), bd), be)) -> new_esEs0(ywz5001, ywz4001, bc, bd, be) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(app(ty_@3, ce), cf), cg), cd) -> new_esEs0(ywz5000, ywz4000, ce, cf, cg) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), app(app(ty_@2, cb), cc), cd) -> new_esEs(ywz5000, ywz4000, cb, cc) The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 *new_esEs(@2(ywz5000, ywz5001), @2(ywz4000, ywz4001), h, app(app(ty_@2, ba), bb)) -> new_esEs(ywz5001, ywz4001, ba, bb) The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 ---------------------------------------- (105) YES