16.07/6.04 YES 18.26/6.63 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 18.26/6.63 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 18.26/6.63 18.26/6.63 18.26/6.63 H-Termination with start terms of the given HASKELL could be proven: 18.26/6.63 18.26/6.63 (0) HASKELL 18.26/6.63 (1) IFR [EQUIVALENT, 0 ms] 18.26/6.63 (2) HASKELL 18.26/6.63 (3) BR [EQUIVALENT, 0 ms] 18.26/6.63 (4) HASKELL 18.26/6.63 (5) COR [EQUIVALENT, 14 ms] 18.26/6.63 (6) HASKELL 18.26/6.63 (7) Narrow [SOUND, 0 ms] 18.26/6.63 (8) AND 18.26/6.63 (9) QDP 18.26/6.63 (10) DependencyGraphProof [EQUIVALENT, 0 ms] 18.26/6.63 (11) AND 18.26/6.63 (12) QDP 18.26/6.63 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (14) YES 18.26/6.63 (15) QDP 18.26/6.63 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (17) YES 18.26/6.63 (18) QDP 18.26/6.63 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (20) YES 18.26/6.63 (21) QDP 18.26/6.63 (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (23) YES 18.26/6.63 (24) QDP 18.26/6.63 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (26) YES 18.26/6.63 (27) QDP 18.26/6.63 (28) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.63 (29) YES 18.26/6.63 (30) QDP 18.26/6.63 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 18.26/6.64 (32) YES 18.26/6.64 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (0) 18.26/6.64 Obligation: 18.26/6.64 mainModule Main 18.26/6.64 module Maybe where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 module List where { 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 infix 5 \\; 18.26/6.64 (\\) :: Eq a => [a] -> [a] -> [a]; 18.26/6.64 (\\) = foldl (flip delete); 18.26/6.64 18.26/6.64 delete :: Eq a => a -> [a] -> [a]; 18.26/6.64 delete = deleteBy (==); 18.26/6.64 18.26/6.64 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 18.26/6.64 deleteBy _ _ [] = []; 18.26/6.64 deleteBy eq x (y : ys) = if x `eq` y then ys else y : deleteBy eq x ys; 18.26/6.64 18.26/6.64 } 18.26/6.64 module Main where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (1) IFR (EQUIVALENT) 18.26/6.64 If Reductions: 18.26/6.64 The following If expression 18.26/6.64 "if eq x y then ys else y : deleteBy eq x ys" 18.26/6.64 is transformed to 18.26/6.64 "deleteBy0 ys y eq x True = ys; 18.26/6.64 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 18.26/6.64 " 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (2) 18.26/6.64 Obligation: 18.26/6.64 mainModule Main 18.26/6.64 module Maybe where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 module List where { 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 infix 5 \\; 18.26/6.64 (\\) :: Eq a => [a] -> [a] -> [a]; 18.26/6.64 (\\) = foldl (flip delete); 18.26/6.64 18.26/6.64 delete :: Eq a => a -> [a] -> [a]; 18.26/6.64 delete = deleteBy (==); 18.26/6.64 18.26/6.64 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 18.26/6.64 deleteBy _ _ [] = []; 18.26/6.64 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 18.26/6.64 18.26/6.64 deleteBy0 ys y eq x True = ys; 18.26/6.64 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 18.26/6.64 18.26/6.64 } 18.26/6.64 module Main where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (3) BR (EQUIVALENT) 18.26/6.64 Replaced joker patterns by fresh variables and removed binding patterns. 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (4) 18.26/6.64 Obligation: 18.26/6.64 mainModule Main 18.26/6.64 module Maybe where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 module List where { 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 infix 5 \\; 18.26/6.64 (\\) :: Eq a => [a] -> [a] -> [a]; 18.26/6.64 (\\) = foldl (flip delete); 18.26/6.64 18.26/6.64 delete :: Eq a => a -> [a] -> [a]; 18.26/6.64 delete = deleteBy (==); 18.26/6.64 18.26/6.64 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 18.26/6.64 deleteBy xw xx [] = []; 18.26/6.64 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 18.26/6.64 18.26/6.64 deleteBy0 ys y eq x True = ys; 18.26/6.64 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 18.26/6.64 18.26/6.64 } 18.26/6.64 module Main where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (5) COR (EQUIVALENT) 18.26/6.64 Cond Reductions: 18.26/6.64 The following Function with conditions 18.26/6.64 "undefined |Falseundefined; 18.26/6.64 " 18.26/6.64 is transformed to 18.26/6.64 "undefined = undefined1; 18.26/6.64 " 18.26/6.64 "undefined0 True = undefined; 18.26/6.64 " 18.26/6.64 "undefined1 = undefined0 False; 18.26/6.64 " 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (6) 18.26/6.64 Obligation: 18.26/6.64 mainModule Main 18.26/6.64 module Maybe where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 module List where { 18.26/6.64 import qualified Main; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 infix 5 \\; 18.26/6.64 (\\) :: Eq a => [a] -> [a] -> [a]; 18.26/6.64 (\\) = foldl (flip delete); 18.26/6.64 18.26/6.64 delete :: Eq a => a -> [a] -> [a]; 18.26/6.64 delete = deleteBy (==); 18.26/6.64 18.26/6.64 deleteBy :: (a -> a -> Bool) -> a -> [a] -> [a]; 18.26/6.64 deleteBy xw xx [] = []; 18.26/6.64 deleteBy eq x (y : ys) = deleteBy0 ys y eq x (x `eq` y); 18.26/6.64 18.26/6.64 deleteBy0 ys y eq x True = ys; 18.26/6.64 deleteBy0 ys y eq x False = y : deleteBy eq x ys; 18.26/6.64 18.26/6.64 } 18.26/6.64 module Main where { 18.26/6.64 import qualified List; 18.26/6.64 import qualified Maybe; 18.26/6.64 import qualified Prelude; 18.26/6.64 } 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (7) Narrow (SOUND) 18.26/6.64 Haskell To QDPs 18.26/6.64 18.26/6.64 digraph dp_graph { 18.26/6.64 node [outthreshold=100, inthreshold=100];1[label="(List.\\)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 18.26/6.64 3[label="xy3 (List.\\)",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 18.26/6.64 4[label="xy3 (List.\\) xy4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 18.26/6.64 5[label="foldl (flip List.delete) xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];717[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 717[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 717 -> 6[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 718[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 718[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 718 -> 7[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 6[label="foldl (flip List.delete) xy3 (xy40 : xy41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 18.26/6.64 7[label="foldl (flip List.delete) xy3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 18.26/6.64 8 -> 5[label="",style="dashed", color="red", weight=0]; 18.26/6.64 8[label="foldl (flip List.delete) (flip List.delete xy3 xy40) xy41",fontsize=16,color="magenta"];8 -> 10[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 8 -> 11[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 9[label="xy3",fontsize=16,color="green",shape="box"];10[label="xy41",fontsize=16,color="green",shape="box"];11[label="flip List.delete xy3 xy40",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 18.26/6.64 12[label="List.delete xy40 xy3",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3]; 18.26/6.64 13[label="List.deleteBy (==) xy40 xy3",fontsize=16,color="burlywood",shape="triangle"];719[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];13 -> 719[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 719 -> 14[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 720[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];13 -> 720[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 720 -> 15[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 14[label="List.deleteBy (==) xy40 (xy30 : xy31)",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3]; 18.26/6.64 15[label="List.deleteBy (==) xy40 []",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 18.26/6.64 16[label="List.deleteBy0 xy31 xy30 (==) xy40 ((==) xy40 xy30)",fontsize=16,color="burlywood",shape="box"];721[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];16 -> 721[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 721 -> 18[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 722[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];16 -> 722[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 722 -> 19[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 17[label="[]",fontsize=16,color="green",shape="box"];18[label="List.deleteBy0 xy31 xy30 (==) Nothing ((==) Nothing xy30)",fontsize=16,color="burlywood",shape="box"];723[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];18 -> 723[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 723 -> 20[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 724[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];18 -> 724[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 724 -> 21[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 19[label="List.deleteBy0 xy31 xy30 (==) (Just xy400) ((==) Just xy400 xy30)",fontsize=16,color="burlywood",shape="box"];725[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];19 -> 725[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 725 -> 22[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 726[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];19 -> 726[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 726 -> 23[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 20[label="List.deleteBy0 xy31 Nothing (==) Nothing ((==) Nothing Nothing)",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 18.26/6.64 21[label="List.deleteBy0 xy31 (Just xy300) (==) Nothing ((==) Nothing Just xy300)",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3]; 18.26/6.64 22[label="List.deleteBy0 xy31 Nothing (==) (Just xy400) ((==) Just xy400 Nothing)",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3]; 18.26/6.64 23[label="List.deleteBy0 xy31 (Just xy300) (==) (Just xy400) ((==) Just xy400 Just xy300)",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3]; 18.26/6.64 24[label="List.deleteBy0 xy31 Nothing (==) Nothing True",fontsize=16,color="black",shape="box"];24 -> 28[label="",style="solid", color="black", weight=3]; 18.26/6.64 25[label="List.deleteBy0 xy31 (Just xy300) (==) Nothing False",fontsize=16,color="black",shape="box"];25 -> 29[label="",style="solid", color="black", weight=3]; 18.26/6.64 26[label="List.deleteBy0 xy31 Nothing (==) (Just xy400) False",fontsize=16,color="black",shape="box"];26 -> 30[label="",style="solid", color="black", weight=3]; 18.26/6.64 27 -> 31[label="",style="dashed", color="red", weight=0]; 18.26/6.64 27[label="List.deleteBy0 xy31 (Just xy300) (==) (Just xy400) (xy400 == xy300)",fontsize=16,color="magenta"];27 -> 32[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 27 -> 33[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 27 -> 34[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 27 -> 35[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 28[label="xy31",fontsize=16,color="green",shape="box"];29[label="Just xy300 : List.deleteBy (==) Nothing xy31",fontsize=16,color="green",shape="box"];29 -> 36[label="",style="dashed", color="green", weight=3]; 18.26/6.64 30[label="Nothing : List.deleteBy (==) (Just xy400) xy31",fontsize=16,color="green",shape="box"];30 -> 37[label="",style="dashed", color="green", weight=3]; 18.26/6.64 32[label="xy300",fontsize=16,color="green",shape="box"];33[label="xy400 == xy300",fontsize=16,color="blue",shape="box"];727[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 727[label="",style="solid", color="blue", weight=9]; 18.26/6.64 727 -> 38[label="",style="solid", color="blue", weight=3]; 18.26/6.64 728[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 728[label="",style="solid", color="blue", weight=9]; 18.26/6.64 728 -> 39[label="",style="solid", color="blue", weight=3]; 18.26/6.64 729[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 729[label="",style="solid", color="blue", weight=9]; 18.26/6.64 729 -> 40[label="",style="solid", color="blue", weight=3]; 18.26/6.64 730[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 730[label="",style="solid", color="blue", weight=9]; 18.26/6.64 730 -> 41[label="",style="solid", color="blue", weight=3]; 18.26/6.64 731[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 731[label="",style="solid", color="blue", weight=9]; 18.26/6.64 731 -> 42[label="",style="solid", color="blue", weight=3]; 18.26/6.64 732[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 732[label="",style="solid", color="blue", weight=9]; 18.26/6.64 732 -> 43[label="",style="solid", color="blue", weight=3]; 18.26/6.64 733[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 733[label="",style="solid", color="blue", weight=9]; 18.26/6.64 733 -> 44[label="",style="solid", color="blue", weight=3]; 18.26/6.64 734[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 734[label="",style="solid", color="blue", weight=9]; 18.26/6.64 734 -> 45[label="",style="solid", color="blue", weight=3]; 18.26/6.64 735[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 735[label="",style="solid", color="blue", weight=9]; 18.26/6.64 735 -> 46[label="",style="solid", color="blue", weight=3]; 18.26/6.64 736[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 736[label="",style="solid", color="blue", weight=9]; 18.26/6.64 736 -> 47[label="",style="solid", color="blue", weight=3]; 18.26/6.64 737[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 737[label="",style="solid", color="blue", weight=9]; 18.26/6.64 737 -> 48[label="",style="solid", color="blue", weight=3]; 18.26/6.64 738[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 738[label="",style="solid", color="blue", weight=9]; 18.26/6.64 738 -> 49[label="",style="solid", color="blue", weight=3]; 18.26/6.64 739[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 739[label="",style="solid", color="blue", weight=9]; 18.26/6.64 739 -> 50[label="",style="solid", color="blue", weight=3]; 18.26/6.64 740[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];33 -> 740[label="",style="solid", color="blue", weight=9]; 18.26/6.64 740 -> 51[label="",style="solid", color="blue", weight=3]; 18.26/6.64 34[label="xy31",fontsize=16,color="green",shape="box"];35[label="xy400",fontsize=16,color="green",shape="box"];31[label="List.deleteBy0 xy10 (Just xy11) (==) (Just xy12) xy13",fontsize=16,color="burlywood",shape="triangle"];741[label="xy13/False",fontsize=10,color="white",style="solid",shape="box"];31 -> 741[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 741 -> 52[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 742[label="xy13/True",fontsize=10,color="white",style="solid",shape="box"];31 -> 742[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 742 -> 53[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 36 -> 13[label="",style="dashed", color="red", weight=0]; 18.26/6.64 36[label="List.deleteBy (==) Nothing xy31",fontsize=16,color="magenta"];36 -> 54[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 36 -> 55[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 37 -> 13[label="",style="dashed", color="red", weight=0]; 18.26/6.64 37[label="List.deleteBy (==) (Just xy400) xy31",fontsize=16,color="magenta"];37 -> 56[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 37 -> 57[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 38[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];743[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];38 -> 743[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 743 -> 58[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 744[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];38 -> 744[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 744 -> 59[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 39[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];745[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];39 -> 745[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 745 -> 60[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 40[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];746[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];40 -> 746[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 746 -> 61[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 41[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];747[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];41 -> 747[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 747 -> 62[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 42[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];748[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];42 -> 748[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 748 -> 63[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 749[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];42 -> 749[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 749 -> 64[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 43[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];750[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];43 -> 750[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 750 -> 65[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 44[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];751[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 751[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 751 -> 66[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 752[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];44 -> 752[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 752 -> 67[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 45[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];45 -> 68[label="",style="solid", color="black", weight=3]; 18.26/6.64 46[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];46 -> 69[label="",style="solid", color="black", weight=3]; 18.26/6.64 47[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];47 -> 70[label="",style="solid", color="black", weight=3]; 18.26/6.64 48[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];753[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];48 -> 753[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 753 -> 71[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 754[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];48 -> 754[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 754 -> 72[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 49[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];755[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];49 -> 755[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 755 -> 73[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 756[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];49 -> 756[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 756 -> 74[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 757[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];49 -> 757[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 757 -> 75[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 50[label="xy400 == xy300",fontsize=16,color="black",shape="triangle"];50 -> 76[label="",style="solid", color="black", weight=3]; 18.26/6.64 51[label="xy400 == xy300",fontsize=16,color="burlywood",shape="triangle"];758[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];51 -> 758[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 758 -> 77[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 52[label="List.deleteBy0 xy10 (Just xy11) (==) (Just xy12) False",fontsize=16,color="black",shape="box"];52 -> 78[label="",style="solid", color="black", weight=3]; 18.26/6.64 53[label="List.deleteBy0 xy10 (Just xy11) (==) (Just xy12) True",fontsize=16,color="black",shape="box"];53 -> 79[label="",style="solid", color="black", weight=3]; 18.26/6.64 54[label="Nothing",fontsize=16,color="green",shape="box"];55[label="xy31",fontsize=16,color="green",shape="box"];56[label="Just xy400",fontsize=16,color="green",shape="box"];57[label="xy31",fontsize=16,color="green",shape="box"];58[label="False == xy300",fontsize=16,color="burlywood",shape="box"];759[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];58 -> 759[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 759 -> 80[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 760[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];58 -> 760[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 760 -> 81[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 59[label="True == xy300",fontsize=16,color="burlywood",shape="box"];761[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];59 -> 761[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 761 -> 82[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 762[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];59 -> 762[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 762 -> 83[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 60[label="Integer xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];763[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];60 -> 763[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 763 -> 84[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 61[label="() == xy300",fontsize=16,color="burlywood",shape="box"];764[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];61 -> 764[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 764 -> 85[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 62[label="(xy4000,xy4001) == xy300",fontsize=16,color="burlywood",shape="box"];765[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];62 -> 765[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 765 -> 86[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 63[label="Left xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];766[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];63 -> 766[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 766 -> 87[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 767[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];63 -> 767[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 767 -> 88[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 64[label="Right xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];768[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 768[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 768 -> 89[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 769[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 769[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 769 -> 90[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 65[label="(xy4000,xy4001,xy4002) == xy300",fontsize=16,color="burlywood",shape="box"];770[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];65 -> 770[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 770 -> 91[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 66[label="Nothing == xy300",fontsize=16,color="burlywood",shape="box"];771[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];66 -> 771[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 771 -> 92[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 772[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];66 -> 772[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 772 -> 93[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 67[label="Just xy4000 == xy300",fontsize=16,color="burlywood",shape="box"];773[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];67 -> 773[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 773 -> 94[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 774[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];67 -> 774[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 774 -> 95[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 68[label="primEqChar xy400 xy300",fontsize=16,color="burlywood",shape="box"];775[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];68 -> 775[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 775 -> 96[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 69[label="primEqInt xy400 xy300",fontsize=16,color="burlywood",shape="triangle"];776[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];69 -> 776[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 776 -> 97[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 777[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];69 -> 777[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 777 -> 98[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 70[label="primEqDouble xy400 xy300",fontsize=16,color="burlywood",shape="box"];778[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];70 -> 778[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 778 -> 99[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 71[label="xy4000 : xy4001 == xy300",fontsize=16,color="burlywood",shape="box"];779[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];71 -> 779[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 779 -> 100[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 780[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];71 -> 780[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 780 -> 101[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 72[label="[] == xy300",fontsize=16,color="burlywood",shape="box"];781[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];72 -> 781[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 781 -> 102[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 782[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];72 -> 782[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 782 -> 103[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 73[label="LT == xy300",fontsize=16,color="burlywood",shape="box"];783[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];73 -> 783[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 783 -> 104[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 784[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];73 -> 784[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 784 -> 105[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 785[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];73 -> 785[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 785 -> 106[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 74[label="EQ == xy300",fontsize=16,color="burlywood",shape="box"];786[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];74 -> 786[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 786 -> 107[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 787[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];74 -> 787[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 787 -> 108[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 788[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];74 -> 788[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 788 -> 109[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 75[label="GT == xy300",fontsize=16,color="burlywood",shape="box"];789[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];75 -> 789[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 789 -> 110[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 790[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];75 -> 790[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 790 -> 111[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 791[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];75 -> 791[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 791 -> 112[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 76[label="primEqFloat xy400 xy300",fontsize=16,color="burlywood",shape="box"];792[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];76 -> 792[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 792 -> 113[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 77[label="xy4000 :% xy4001 == xy300",fontsize=16,color="burlywood",shape="box"];793[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];77 -> 793[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 793 -> 114[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 78[label="Just xy11 : List.deleteBy (==) (Just xy12) xy10",fontsize=16,color="green",shape="box"];78 -> 115[label="",style="dashed", color="green", weight=3]; 18.26/6.64 79[label="xy10",fontsize=16,color="green",shape="box"];80[label="False == False",fontsize=16,color="black",shape="box"];80 -> 116[label="",style="solid", color="black", weight=3]; 18.26/6.64 81[label="False == True",fontsize=16,color="black",shape="box"];81 -> 117[label="",style="solid", color="black", weight=3]; 18.26/6.64 82[label="True == False",fontsize=16,color="black",shape="box"];82 -> 118[label="",style="solid", color="black", weight=3]; 18.26/6.64 83[label="True == True",fontsize=16,color="black",shape="box"];83 -> 119[label="",style="solid", color="black", weight=3]; 18.26/6.64 84[label="Integer xy4000 == Integer xy3000",fontsize=16,color="black",shape="box"];84 -> 120[label="",style="solid", color="black", weight=3]; 18.26/6.64 85[label="() == ()",fontsize=16,color="black",shape="box"];85 -> 121[label="",style="solid", color="black", weight=3]; 18.26/6.64 86[label="(xy4000,xy4001) == (xy3000,xy3001)",fontsize=16,color="black",shape="box"];86 -> 122[label="",style="solid", color="black", weight=3]; 18.26/6.64 87[label="Left xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];87 -> 123[label="",style="solid", color="black", weight=3]; 18.26/6.64 88[label="Left xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];88 -> 124[label="",style="solid", color="black", weight=3]; 18.26/6.64 89[label="Right xy4000 == Left xy3000",fontsize=16,color="black",shape="box"];89 -> 125[label="",style="solid", color="black", weight=3]; 18.26/6.64 90[label="Right xy4000 == Right xy3000",fontsize=16,color="black",shape="box"];90 -> 126[label="",style="solid", color="black", weight=3]; 18.26/6.64 91[label="(xy4000,xy4001,xy4002) == (xy3000,xy3001,xy3002)",fontsize=16,color="black",shape="box"];91 -> 127[label="",style="solid", color="black", weight=3]; 18.26/6.64 92[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];92 -> 128[label="",style="solid", color="black", weight=3]; 18.26/6.64 93[label="Nothing == Just xy3000",fontsize=16,color="black",shape="box"];93 -> 129[label="",style="solid", color="black", weight=3]; 18.26/6.64 94[label="Just xy4000 == Nothing",fontsize=16,color="black",shape="box"];94 -> 130[label="",style="solid", color="black", weight=3]; 18.26/6.64 95[label="Just xy4000 == Just xy3000",fontsize=16,color="black",shape="box"];95 -> 131[label="",style="solid", color="black", weight=3]; 18.26/6.64 96[label="primEqChar (Char xy4000) xy300",fontsize=16,color="burlywood",shape="box"];794[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];96 -> 794[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 794 -> 132[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 97[label="primEqInt (Pos xy4000) xy300",fontsize=16,color="burlywood",shape="box"];795[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];97 -> 795[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 795 -> 133[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 796[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];97 -> 796[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 796 -> 134[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 98[label="primEqInt (Neg xy4000) xy300",fontsize=16,color="burlywood",shape="box"];797[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];98 -> 797[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 797 -> 135[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 798[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];98 -> 798[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 798 -> 136[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 99[label="primEqDouble (Double xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];799[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];99 -> 799[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 799 -> 137[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 100[label="xy4000 : xy4001 == xy3000 : xy3001",fontsize=16,color="black",shape="box"];100 -> 138[label="",style="solid", color="black", weight=3]; 18.26/6.64 101[label="xy4000 : xy4001 == []",fontsize=16,color="black",shape="box"];101 -> 139[label="",style="solid", color="black", weight=3]; 18.26/6.64 102[label="[] == xy3000 : xy3001",fontsize=16,color="black",shape="box"];102 -> 140[label="",style="solid", color="black", weight=3]; 18.26/6.64 103[label="[] == []",fontsize=16,color="black",shape="box"];103 -> 141[label="",style="solid", color="black", weight=3]; 18.26/6.64 104[label="LT == LT",fontsize=16,color="black",shape="box"];104 -> 142[label="",style="solid", color="black", weight=3]; 18.26/6.64 105[label="LT == EQ",fontsize=16,color="black",shape="box"];105 -> 143[label="",style="solid", color="black", weight=3]; 18.26/6.64 106[label="LT == GT",fontsize=16,color="black",shape="box"];106 -> 144[label="",style="solid", color="black", weight=3]; 18.26/6.64 107[label="EQ == LT",fontsize=16,color="black",shape="box"];107 -> 145[label="",style="solid", color="black", weight=3]; 18.26/6.64 108[label="EQ == EQ",fontsize=16,color="black",shape="box"];108 -> 146[label="",style="solid", color="black", weight=3]; 18.26/6.64 109[label="EQ == GT",fontsize=16,color="black",shape="box"];109 -> 147[label="",style="solid", color="black", weight=3]; 18.26/6.64 110[label="GT == LT",fontsize=16,color="black",shape="box"];110 -> 148[label="",style="solid", color="black", weight=3]; 18.26/6.64 111[label="GT == EQ",fontsize=16,color="black",shape="box"];111 -> 149[label="",style="solid", color="black", weight=3]; 18.26/6.64 112[label="GT == GT",fontsize=16,color="black",shape="box"];112 -> 150[label="",style="solid", color="black", weight=3]; 18.26/6.64 113[label="primEqFloat (Float xy4000 xy4001) xy300",fontsize=16,color="burlywood",shape="box"];800[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];113 -> 800[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 800 -> 151[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 114[label="xy4000 :% xy4001 == xy3000 :% xy3001",fontsize=16,color="black",shape="box"];114 -> 152[label="",style="solid", color="black", weight=3]; 18.26/6.64 115 -> 13[label="",style="dashed", color="red", weight=0]; 18.26/6.64 115[label="List.deleteBy (==) (Just xy12) xy10",fontsize=16,color="magenta"];115 -> 153[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 115 -> 154[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 116[label="True",fontsize=16,color="green",shape="box"];117[label="False",fontsize=16,color="green",shape="box"];118[label="False",fontsize=16,color="green",shape="box"];119[label="True",fontsize=16,color="green",shape="box"];120 -> 69[label="",style="dashed", color="red", weight=0]; 18.26/6.64 120[label="primEqInt xy4000 xy3000",fontsize=16,color="magenta"];120 -> 155[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 120 -> 156[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 121[label="True",fontsize=16,color="green",shape="box"];122 -> 245[label="",style="dashed", color="red", weight=0]; 18.26/6.64 122[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];122 -> 246[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 122 -> 247[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 123[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];801[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 801[label="",style="solid", color="blue", weight=9]; 18.26/6.64 801 -> 167[label="",style="solid", color="blue", weight=3]; 18.26/6.64 802[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 802[label="",style="solid", color="blue", weight=9]; 18.26/6.64 802 -> 168[label="",style="solid", color="blue", weight=3]; 18.26/6.64 803[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 803[label="",style="solid", color="blue", weight=9]; 18.26/6.64 803 -> 169[label="",style="solid", color="blue", weight=3]; 18.26/6.64 804[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 804[label="",style="solid", color="blue", weight=9]; 18.26/6.64 804 -> 170[label="",style="solid", color="blue", weight=3]; 18.26/6.64 805[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 805[label="",style="solid", color="blue", weight=9]; 18.26/6.64 805 -> 171[label="",style="solid", color="blue", weight=3]; 18.26/6.64 806[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 806[label="",style="solid", color="blue", weight=9]; 18.26/6.64 806 -> 172[label="",style="solid", color="blue", weight=3]; 18.26/6.64 807[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 807[label="",style="solid", color="blue", weight=9]; 18.26/6.64 807 -> 173[label="",style="solid", color="blue", weight=3]; 18.26/6.64 808[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 808[label="",style="solid", color="blue", weight=9]; 18.26/6.64 808 -> 174[label="",style="solid", color="blue", weight=3]; 18.26/6.64 809[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 809[label="",style="solid", color="blue", weight=9]; 18.26/6.64 809 -> 175[label="",style="solid", color="blue", weight=3]; 18.26/6.64 810[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 810[label="",style="solid", color="blue", weight=9]; 18.26/6.64 810 -> 176[label="",style="solid", color="blue", weight=3]; 18.26/6.64 811[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 811[label="",style="solid", color="blue", weight=9]; 18.26/6.64 811 -> 177[label="",style="solid", color="blue", weight=3]; 18.26/6.64 812[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 812[label="",style="solid", color="blue", weight=9]; 18.26/6.64 812 -> 178[label="",style="solid", color="blue", weight=3]; 18.26/6.64 813[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 813[label="",style="solid", color="blue", weight=9]; 18.26/6.64 813 -> 179[label="",style="solid", color="blue", weight=3]; 18.26/6.64 814[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];123 -> 814[label="",style="solid", color="blue", weight=9]; 18.26/6.64 814 -> 180[label="",style="solid", color="blue", weight=3]; 18.26/6.64 124[label="False",fontsize=16,color="green",shape="box"];125[label="False",fontsize=16,color="green",shape="box"];126[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];815[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 815[label="",style="solid", color="blue", weight=9]; 18.26/6.64 815 -> 181[label="",style="solid", color="blue", weight=3]; 18.26/6.64 816[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 816[label="",style="solid", color="blue", weight=9]; 18.26/6.64 816 -> 182[label="",style="solid", color="blue", weight=3]; 18.26/6.64 817[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 817[label="",style="solid", color="blue", weight=9]; 18.26/6.64 817 -> 183[label="",style="solid", color="blue", weight=3]; 18.26/6.64 818[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 818[label="",style="solid", color="blue", weight=9]; 18.26/6.64 818 -> 184[label="",style="solid", color="blue", weight=3]; 18.26/6.64 819[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 819[label="",style="solid", color="blue", weight=9]; 18.26/6.64 819 -> 185[label="",style="solid", color="blue", weight=3]; 18.26/6.64 820[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 820[label="",style="solid", color="blue", weight=9]; 18.26/6.64 820 -> 186[label="",style="solid", color="blue", weight=3]; 18.26/6.64 821[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 821[label="",style="solid", color="blue", weight=9]; 18.26/6.64 821 -> 187[label="",style="solid", color="blue", weight=3]; 18.26/6.64 822[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 822[label="",style="solid", color="blue", weight=9]; 18.26/6.64 822 -> 188[label="",style="solid", color="blue", weight=3]; 18.26/6.64 823[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 823[label="",style="solid", color="blue", weight=9]; 18.26/6.64 823 -> 189[label="",style="solid", color="blue", weight=3]; 18.26/6.64 824[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 824[label="",style="solid", color="blue", weight=9]; 18.26/6.64 824 -> 190[label="",style="solid", color="blue", weight=3]; 18.26/6.64 825[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 825[label="",style="solid", color="blue", weight=9]; 18.26/6.64 825 -> 191[label="",style="solid", color="blue", weight=3]; 18.26/6.64 826[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 826[label="",style="solid", color="blue", weight=9]; 18.26/6.64 826 -> 192[label="",style="solid", color="blue", weight=3]; 18.26/6.64 827[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 827[label="",style="solid", color="blue", weight=9]; 18.26/6.64 827 -> 193[label="",style="solid", color="blue", weight=3]; 18.26/6.64 828[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];126 -> 828[label="",style="solid", color="blue", weight=9]; 18.26/6.64 828 -> 194[label="",style="solid", color="blue", weight=3]; 18.26/6.64 127 -> 245[label="",style="dashed", color="red", weight=0]; 18.26/6.64 127[label="xy4000 == xy3000 && xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];127 -> 248[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 127 -> 249[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 128[label="True",fontsize=16,color="green",shape="box"];129[label="False",fontsize=16,color="green",shape="box"];130[label="False",fontsize=16,color="green",shape="box"];131[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];829[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 829[label="",style="solid", color="blue", weight=9]; 18.26/6.64 829 -> 206[label="",style="solid", color="blue", weight=3]; 18.26/6.64 830[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 830[label="",style="solid", color="blue", weight=9]; 18.26/6.64 830 -> 207[label="",style="solid", color="blue", weight=3]; 18.26/6.64 831[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 831[label="",style="solid", color="blue", weight=9]; 18.26/6.64 831 -> 208[label="",style="solid", color="blue", weight=3]; 18.26/6.64 832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 832[label="",style="solid", color="blue", weight=9]; 18.26/6.64 832 -> 209[label="",style="solid", color="blue", weight=3]; 18.26/6.64 833[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 833[label="",style="solid", color="blue", weight=9]; 18.26/6.64 833 -> 210[label="",style="solid", color="blue", weight=3]; 18.26/6.64 834[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 834[label="",style="solid", color="blue", weight=9]; 18.26/6.64 834 -> 211[label="",style="solid", color="blue", weight=3]; 18.26/6.64 835[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 835[label="",style="solid", color="blue", weight=9]; 18.26/6.64 835 -> 212[label="",style="solid", color="blue", weight=3]; 18.26/6.64 836[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 836[label="",style="solid", color="blue", weight=9]; 18.26/6.64 836 -> 213[label="",style="solid", color="blue", weight=3]; 18.26/6.64 837[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 837[label="",style="solid", color="blue", weight=9]; 18.26/6.64 837 -> 214[label="",style="solid", color="blue", weight=3]; 18.26/6.64 838[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 838[label="",style="solid", color="blue", weight=9]; 18.26/6.64 838 -> 215[label="",style="solid", color="blue", weight=3]; 18.26/6.64 839[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 839[label="",style="solid", color="blue", weight=9]; 18.26/6.64 839 -> 216[label="",style="solid", color="blue", weight=3]; 18.26/6.64 840[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 840[label="",style="solid", color="blue", weight=9]; 18.26/6.64 840 -> 217[label="",style="solid", color="blue", weight=3]; 18.26/6.64 841[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 841[label="",style="solid", color="blue", weight=9]; 18.26/6.64 841 -> 218[label="",style="solid", color="blue", weight=3]; 18.26/6.64 842[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];131 -> 842[label="",style="solid", color="blue", weight=9]; 18.26/6.64 842 -> 219[label="",style="solid", color="blue", weight=3]; 18.26/6.64 132[label="primEqChar (Char xy4000) (Char xy3000)",fontsize=16,color="black",shape="box"];132 -> 220[label="",style="solid", color="black", weight=3]; 18.26/6.64 133[label="primEqInt (Pos (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];843[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];133 -> 843[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 843 -> 221[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 844[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];133 -> 844[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 844 -> 222[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 134[label="primEqInt (Pos Zero) xy300",fontsize=16,color="burlywood",shape="box"];845[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];134 -> 845[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 845 -> 223[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 846[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];134 -> 846[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 846 -> 224[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 135[label="primEqInt (Neg (Succ xy40000)) xy300",fontsize=16,color="burlywood",shape="box"];847[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];135 -> 847[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 847 -> 225[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 848[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];135 -> 848[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 848 -> 226[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 136[label="primEqInt (Neg Zero) xy300",fontsize=16,color="burlywood",shape="box"];849[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];136 -> 849[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 849 -> 227[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 850[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];136 -> 850[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 850 -> 228[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 137[label="primEqDouble (Double xy4000 xy4001) (Double xy3000 xy3001)",fontsize=16,color="black",shape="box"];137 -> 229[label="",style="solid", color="black", weight=3]; 18.26/6.64 138 -> 245[label="",style="dashed", color="red", weight=0]; 18.26/6.64 138[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];138 -> 250[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 138 -> 251[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 139[label="False",fontsize=16,color="green",shape="box"];140[label="False",fontsize=16,color="green",shape="box"];141[label="True",fontsize=16,color="green",shape="box"];142[label="True",fontsize=16,color="green",shape="box"];143[label="False",fontsize=16,color="green",shape="box"];144[label="False",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="True",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="False",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="True",fontsize=16,color="green",shape="box"];151[label="primEqFloat (Float xy4000 xy4001) (Float xy3000 xy3001)",fontsize=16,color="black",shape="box"];151 -> 230[label="",style="solid", color="black", weight=3]; 18.26/6.64 152 -> 245[label="",style="dashed", color="red", weight=0]; 18.26/6.64 152[label="xy4000 == xy3000 && xy4001 == xy3001",fontsize=16,color="magenta"];152 -> 252[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 152 -> 253[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 153[label="Just xy12",fontsize=16,color="green",shape="box"];154[label="xy10",fontsize=16,color="green",shape="box"];155[label="xy4000",fontsize=16,color="green",shape="box"];156[label="xy3000",fontsize=16,color="green",shape="box"];246[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];851[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 851[label="",style="solid", color="blue", weight=9]; 18.26/6.64 851 -> 258[label="",style="solid", color="blue", weight=3]; 18.26/6.64 852[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 852[label="",style="solid", color="blue", weight=9]; 18.26/6.64 852 -> 259[label="",style="solid", color="blue", weight=3]; 18.26/6.64 853[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 853[label="",style="solid", color="blue", weight=9]; 18.26/6.64 853 -> 260[label="",style="solid", color="blue", weight=3]; 18.26/6.64 854[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 854[label="",style="solid", color="blue", weight=9]; 18.26/6.64 854 -> 261[label="",style="solid", color="blue", weight=3]; 18.26/6.64 855[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 855[label="",style="solid", color="blue", weight=9]; 18.26/6.64 855 -> 262[label="",style="solid", color="blue", weight=3]; 18.26/6.64 856[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 856[label="",style="solid", color="blue", weight=9]; 18.26/6.64 856 -> 263[label="",style="solid", color="blue", weight=3]; 18.26/6.64 857[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 857[label="",style="solid", color="blue", weight=9]; 18.26/6.64 857 -> 264[label="",style="solid", color="blue", weight=3]; 18.26/6.64 858[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 858[label="",style="solid", color="blue", weight=9]; 18.26/6.64 858 -> 265[label="",style="solid", color="blue", weight=3]; 18.26/6.64 859[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 859[label="",style="solid", color="blue", weight=9]; 18.26/6.64 859 -> 266[label="",style="solid", color="blue", weight=3]; 18.26/6.64 860[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 860[label="",style="solid", color="blue", weight=9]; 18.26/6.64 860 -> 267[label="",style="solid", color="blue", weight=3]; 18.26/6.64 861[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 861[label="",style="solid", color="blue", weight=9]; 18.26/6.64 861 -> 268[label="",style="solid", color="blue", weight=3]; 18.26/6.64 862[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 862[label="",style="solid", color="blue", weight=9]; 18.26/6.64 862 -> 269[label="",style="solid", color="blue", weight=3]; 18.26/6.64 863[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 863[label="",style="solid", color="blue", weight=9]; 18.26/6.64 863 -> 270[label="",style="solid", color="blue", weight=3]; 18.26/6.64 864[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 864[label="",style="solid", color="blue", weight=9]; 18.26/6.64 864 -> 271[label="",style="solid", color="blue", weight=3]; 18.26/6.64 247[label="xy4000 == 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869[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 869[label="",style="solid", color="blue", weight=9]; 18.26/6.64 869 -> 276[label="",style="solid", color="blue", weight=3]; 18.26/6.64 870[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 870[label="",style="solid", color="blue", weight=9]; 18.26/6.64 870 -> 277[label="",style="solid", color="blue", weight=3]; 18.26/6.64 871[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 871[label="",style="solid", color="blue", weight=9]; 18.26/6.64 871 -> 278[label="",style="solid", color="blue", weight=3]; 18.26/6.64 872[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 872[label="",style="solid", color="blue", weight=9]; 18.26/6.64 872 -> 279[label="",style="solid", color="blue", weight=3]; 18.26/6.64 873[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 873[label="",style="solid", color="blue", weight=9]; 18.26/6.64 873 -> 280[label="",style="solid", color="blue", weight=3]; 18.26/6.64 874[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 874[label="",style="solid", color="blue", weight=9]; 18.26/6.64 874 -> 281[label="",style="solid", color="blue", weight=3]; 18.26/6.64 875[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 875[label="",style="solid", color="blue", weight=9]; 18.26/6.64 875 -> 282[label="",style="solid", color="blue", weight=3]; 18.26/6.64 876[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 876[label="",style="solid", color="blue", weight=9]; 18.26/6.64 876 -> 283[label="",style="solid", color="blue", weight=3]; 18.26/6.64 877[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 877[label="",style="solid", color="blue", weight=9]; 18.26/6.64 877 -> 284[label="",style="solid", color="blue", weight=3]; 18.26/6.64 878[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];247 -> 878[label="",style="solid", color="blue", weight=9]; 18.26/6.64 878 -> 285[label="",style="solid", color="blue", weight=3]; 18.26/6.64 245[label="xy25 && xy26",fontsize=16,color="burlywood",shape="triangle"];879[label="xy25/False",fontsize=10,color="white",style="solid",shape="box"];245 -> 879[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 879 -> 286[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 880[label="xy25/True",fontsize=10,color="white",style="solid",shape="box"];245 -> 880[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 880 -> 287[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 167 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 167[label="xy4000 == xy3000",fontsize=16,color="magenta"];167 -> 288[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 167 -> 289[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 168 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 168[label="xy4000 == xy3000",fontsize=16,color="magenta"];168 -> 290[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 168 -> 291[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 169 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 169[label="xy4000 == xy3000",fontsize=16,color="magenta"];169 -> 292[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 169 -> 293[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 170 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 170[label="xy4000 == xy3000",fontsize=16,color="magenta"];170 -> 294[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 170 -> 295[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 171 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 171[label="xy4000 == xy3000",fontsize=16,color="magenta"];171 -> 296[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 171 -> 297[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 172 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 172[label="xy4000 == xy3000",fontsize=16,color="magenta"];172 -> 298[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 172 -> 299[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 173 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 173[label="xy4000 == xy3000",fontsize=16,color="magenta"];173 -> 300[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 173 -> 301[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 174 -> 45[label="",style="dashed", color="red", 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309[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 178 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 178[label="xy4000 == xy3000",fontsize=16,color="magenta"];178 -> 310[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 178 -> 311[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 179 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 179[label="xy4000 == xy3000",fontsize=16,color="magenta"];179 -> 312[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 179 -> 313[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 180 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 180[label="xy4000 == xy3000",fontsize=16,color="magenta"];180 -> 314[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 180 -> 315[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 181 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 181[label="xy4000 == xy3000",fontsize=16,color="magenta"];181 -> 316[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 181 -> 317[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 182 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 182[label="xy4000 == xy3000",fontsize=16,color="magenta"];182 -> 318[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 182 -> 319[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 183 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 183[label="xy4000 == xy3000",fontsize=16,color="magenta"];183 -> 320[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 183 -> 321[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 184 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 184[label="xy4000 == xy3000",fontsize=16,color="magenta"];184 -> 322[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 184 -> 323[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 185 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 185[label="xy4000 == xy3000",fontsize=16,color="magenta"];185 -> 324[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 185 -> 325[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 186 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 186[label="xy4000 == xy3000",fontsize=16,color="magenta"];186 -> 326[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 186 -> 327[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 187 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 187[label="xy4000 == xy3000",fontsize=16,color="magenta"];187 -> 328[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 187 -> 329[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 188 -> 45[label="",style="dashed", color="red", weight=0]; 18.26/6.64 188[label="xy4000 == xy3000",fontsize=16,color="magenta"];188 -> 330[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 188 -> 331[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 189 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 189[label="xy4000 == xy3000",fontsize=16,color="magenta"];189 -> 332[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 189 -> 333[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 190 -> 47[label="",style="dashed", color="red", weight=0]; 18.26/6.64 190[label="xy4000 == xy3000",fontsize=16,color="magenta"];190 -> 334[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 190 -> 335[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 191 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 191[label="xy4000 == xy3000",fontsize=16,color="magenta"];191 -> 336[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 191 -> 337[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 192 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 192[label="xy4000 == xy3000",fontsize=16,color="magenta"];192 -> 338[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 192 -> 339[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 193 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 193[label="xy4000 == xy3000",fontsize=16,color="magenta"];193 -> 340[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 193 -> 341[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 194 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 194[label="xy4000 == xy3000",fontsize=16,color="magenta"];194 -> 342[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 194 -> 343[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 248 -> 245[label="",style="dashed", color="red", weight=0]; 18.26/6.64 248[label="xy4001 == xy3001 && xy4002 == xy3002",fontsize=16,color="magenta"];248 -> 344[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 248 -> 345[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 249[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];881[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 881[label="",style="solid", color="blue", weight=9]; 18.26/6.64 881 -> 346[label="",style="solid", color="blue", weight=3]; 18.26/6.64 882[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 882[label="",style="solid", color="blue", weight=9]; 18.26/6.64 882 -> 347[label="",style="solid", color="blue", weight=3]; 18.26/6.64 883[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 883[label="",style="solid", color="blue", weight=9]; 18.26/6.64 883 -> 348[label="",style="solid", color="blue", weight=3]; 18.26/6.64 884[label="== :: ((@2) a b) -> ((@2) a b) -> 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Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 888[label="",style="solid", color="blue", weight=9]; 18.26/6.64 888 -> 353[label="",style="solid", color="blue", weight=3]; 18.26/6.64 889[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 889[label="",style="solid", color="blue", weight=9]; 18.26/6.64 889 -> 354[label="",style="solid", color="blue", weight=3]; 18.26/6.64 890[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 890[label="",style="solid", color="blue", weight=9]; 18.26/6.64 890 -> 355[label="",style="solid", color="blue", weight=3]; 18.26/6.64 891[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 891[label="",style="solid", color="blue", weight=9]; 18.26/6.64 891 -> 356[label="",style="solid", color="blue", weight=3]; 18.26/6.64 892[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 892[label="",style="solid", color="blue", weight=9]; 18.26/6.64 892 -> 357[label="",style="solid", color="blue", weight=3]; 18.26/6.64 893[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 893[label="",style="solid", color="blue", weight=9]; 18.26/6.64 893 -> 358[label="",style="solid", color="blue", weight=3]; 18.26/6.64 894[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 894[label="",style="solid", color="blue", weight=9]; 18.26/6.64 894 -> 359[label="",style="solid", color="blue", weight=3]; 18.26/6.64 206 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 206[label="xy4000 == xy3000",fontsize=16,color="magenta"];206 -> 360[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 206 -> 361[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 207 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 207[label="xy4000 == xy3000",fontsize=16,color="magenta"];207 -> 362[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 207 -> 363[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 208 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 208[label="xy4000 == xy3000",fontsize=16,color="magenta"];208 -> 364[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 208 -> 365[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 209 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 209[label="xy4000 == xy3000",fontsize=16,color="magenta"];209 -> 366[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 209 -> 367[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 210 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 210[label="xy4000 == xy3000",fontsize=16,color="magenta"];210 -> 368[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 210 -> 369[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 211 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 211[label="xy4000 == xy3000",fontsize=16,color="magenta"];211 -> 370[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 211 -> 371[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 212 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 212[label="xy4000 == xy3000",fontsize=16,color="magenta"];212 -> 372[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 212 -> 373[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 213 -> 45[label="",style="dashed", color="red", weight=0]; 18.26/6.64 213[label="xy4000 == xy3000",fontsize=16,color="magenta"];213 -> 374[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 213 -> 375[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 214 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 214[label="xy4000 == xy3000",fontsize=16,color="magenta"];214 -> 376[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 214 -> 377[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 215 -> 47[label="",style="dashed", color="red", weight=0]; 18.26/6.64 215[label="xy4000 == xy3000",fontsize=16,color="magenta"];215 -> 378[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 215 -> 379[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 216 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 216[label="xy4000 == xy3000",fontsize=16,color="magenta"];216 -> 380[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 216 -> 381[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 217 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 217[label="xy4000 == xy3000",fontsize=16,color="magenta"];217 -> 382[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 217 -> 383[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 218 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 218[label="xy4000 == xy3000",fontsize=16,color="magenta"];218 -> 384[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 218 -> 385[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 219 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 219[label="xy4000 == xy3000",fontsize=16,color="magenta"];219 -> 386[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 219 -> 387[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 220[label="primEqNat xy4000 xy3000",fontsize=16,color="burlywood",shape="triangle"];895[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];220 -> 895[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 895 -> 388[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 896[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];220 -> 896[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 896 -> 389[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 221[label="primEqInt (Pos (Succ xy40000)) (Pos xy3000)",fontsize=16,color="burlywood",shape="box"];897[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];221 -> 897[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 897 -> 390[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 898[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];221 -> 898[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 898 -> 391[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 222[label="primEqInt (Pos (Succ xy40000)) (Neg xy3000)",fontsize=16,color="black",shape="box"];222 -> 392[label="",style="solid", color="black", weight=3]; 18.26/6.64 223[label="primEqInt (Pos Zero) (Pos 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905[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 905 -> 400[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 906[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];227 -> 906[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 906 -> 401[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 228[label="primEqInt (Neg Zero) (Neg xy3000)",fontsize=16,color="burlywood",shape="box"];907[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];228 -> 907[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 907 -> 402[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 908[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];228 -> 908[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 908 -> 403[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 229 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 229[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];229 -> 404[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 229 -> 405[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 250 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 250[label="xy4001 == xy3001",fontsize=16,color="magenta"];250 -> 406[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 250 -> 407[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 251[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];909[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 909[label="",style="solid", color="blue", weight=9]; 18.26/6.64 909 -> 408[label="",style="solid", color="blue", weight=3]; 18.26/6.64 910[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 910[label="",style="solid", color="blue", weight=9]; 18.26/6.64 910 -> 409[label="",style="solid", color="blue", weight=3]; 18.26/6.64 911[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 911[label="",style="solid", color="blue", weight=9]; 18.26/6.64 911 -> 410[label="",style="solid", color="blue", weight=3]; 18.26/6.64 912[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 912[label="",style="solid", color="blue", weight=9]; 18.26/6.64 912 -> 411[label="",style="solid", color="blue", weight=3]; 18.26/6.64 913[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 913[label="",style="solid", color="blue", weight=9]; 18.26/6.64 913 -> 412[label="",style="solid", color="blue", weight=3]; 18.26/6.64 914[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 914[label="",style="solid", color="blue", weight=9]; 18.26/6.64 914 -> 413[label="",style="solid", color="blue", weight=3]; 18.26/6.64 915[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 915[label="",style="solid", color="blue", weight=9]; 18.26/6.64 915 -> 414[label="",style="solid", color="blue", weight=3]; 18.26/6.64 916[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 916[label="",style="solid", color="blue", weight=9]; 18.26/6.64 916 -> 415[label="",style="solid", color="blue", weight=3]; 18.26/6.64 917[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 917[label="",style="solid", color="blue", weight=9]; 18.26/6.64 917 -> 416[label="",style="solid", color="blue", weight=3]; 18.26/6.64 918[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 918[label="",style="solid", color="blue", weight=9]; 18.26/6.64 918 -> 417[label="",style="solid", color="blue", weight=3]; 18.26/6.64 919[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 919[label="",style="solid", color="blue", weight=9]; 18.26/6.64 919 -> 418[label="",style="solid", color="blue", weight=3]; 18.26/6.64 920[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 920[label="",style="solid", color="blue", weight=9]; 18.26/6.64 920 -> 419[label="",style="solid", color="blue", weight=3]; 18.26/6.64 921[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 921[label="",style="solid", color="blue", weight=9]; 18.26/6.64 921 -> 420[label="",style="solid", color="blue", weight=3]; 18.26/6.64 922[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];251 -> 922[label="",style="solid", color="blue", weight=9]; 18.26/6.64 922 -> 421[label="",style="solid", color="blue", weight=3]; 18.26/6.64 230 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 230[label="xy4000 * xy3001 == xy4001 * xy3000",fontsize=16,color="magenta"];230 -> 422[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 230 -> 423[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 252[label="xy4001 == xy3001",fontsize=16,color="blue",shape="box"];923[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 923[label="",style="solid", color="blue", weight=9]; 18.26/6.64 923 -> 424[label="",style="solid", color="blue", weight=3]; 18.26/6.64 924[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];252 -> 924[label="",style="solid", color="blue", weight=9]; 18.26/6.64 924 -> 425[label="",style="solid", color="blue", weight=3]; 18.26/6.64 253[label="xy4000 == xy3000",fontsize=16,color="blue",shape="box"];925[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 925[label="",style="solid", color="blue", weight=9]; 18.26/6.64 925 -> 426[label="",style="solid", color="blue", weight=3]; 18.26/6.64 926[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 926[label="",style="solid", color="blue", weight=9]; 18.26/6.64 926 -> 427[label="",style="solid", color="blue", weight=3]; 18.26/6.64 258 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 258[label="xy4001 == xy3001",fontsize=16,color="magenta"];258 -> 428[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 258 -> 429[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 259 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 259[label="xy4001 == xy3001",fontsize=16,color="magenta"];259 -> 430[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 259 -> 431[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 260 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 260[label="xy4001 == xy3001",fontsize=16,color="magenta"];260 -> 432[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 260 -> 433[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 261 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 261[label="xy4001 == xy3001",fontsize=16,color="magenta"];261 -> 434[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 261 -> 435[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 262 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 262[label="xy4001 == xy3001",fontsize=16,color="magenta"];262 -> 436[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 262 -> 437[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 263 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 263[label="xy4001 == xy3001",fontsize=16,color="magenta"];263 -> 438[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 263 -> 439[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 264 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 264[label="xy4001 == xy3001",fontsize=16,color="magenta"];264 -> 440[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 264 -> 441[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 265 -> 45[label="",style="dashed", color="red", weight=0]; 18.26/6.64 265[label="xy4001 == xy3001",fontsize=16,color="magenta"];265 -> 442[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 265 -> 443[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 266 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 266[label="xy4001 == xy3001",fontsize=16,color="magenta"];266 -> 444[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 266 -> 445[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 267 -> 47[label="",style="dashed", color="red", weight=0]; 18.26/6.64 267[label="xy4001 == xy3001",fontsize=16,color="magenta"];267 -> 446[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 267 -> 447[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 268 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 268[label="xy4001 == xy3001",fontsize=16,color="magenta"];268 -> 448[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 268 -> 449[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 269 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 269[label="xy4001 == xy3001",fontsize=16,color="magenta"];269 -> 450[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 269 -> 451[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 270 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 270[label="xy4001 == xy3001",fontsize=16,color="magenta"];270 -> 452[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 270 -> 453[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 271 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 271[label="xy4001 == xy3001",fontsize=16,color="magenta"];271 -> 454[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 271 -> 455[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 272 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 272[label="xy4000 == xy3000",fontsize=16,color="magenta"];272 -> 456[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 272 -> 457[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 273 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 273[label="xy4000 == xy3000",fontsize=16,color="magenta"];273 -> 458[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 273 -> 459[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 274 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 274[label="xy4000 == xy3000",fontsize=16,color="magenta"];274 -> 460[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 274 -> 461[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 275 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 275[label="xy4000 == xy3000",fontsize=16,color="magenta"];275 -> 462[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 275 -> 463[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 276 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 276[label="xy4000 == xy3000",fontsize=16,color="magenta"];276 -> 464[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 276 -> 465[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 277 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 277[label="xy4000 == xy3000",fontsize=16,color="magenta"];277 -> 466[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 277 -> 467[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 278 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 278[label="xy4000 == xy3000",fontsize=16,color="magenta"];278 -> 468[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 278 -> 469[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 279 -> 45[label="",style="dashed", color="red", weight=0]; 18.26/6.64 279[label="xy4000 == xy3000",fontsize=16,color="magenta"];279 -> 470[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 279 -> 471[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 280 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 280[label="xy4000 == xy3000",fontsize=16,color="magenta"];280 -> 472[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 280 -> 473[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 281 -> 47[label="",style="dashed", color="red", weight=0]; 18.26/6.64 281[label="xy4000 == xy3000",fontsize=16,color="magenta"];281 -> 474[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 281 -> 475[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 282 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 282[label="xy4000 == xy3000",fontsize=16,color="magenta"];282 -> 476[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 282 -> 477[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 283 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 283[label="xy4000 == xy3000",fontsize=16,color="magenta"];283 -> 478[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 283 -> 479[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 284 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 284[label="xy4000 == xy3000",fontsize=16,color="magenta"];284 -> 480[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 284 -> 481[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 285 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 285[label="xy4000 == xy3000",fontsize=16,color="magenta"];285 -> 482[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 285 -> 483[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 286[label="False && xy26",fontsize=16,color="black",shape="box"];286 -> 484[label="",style="solid", color="black", weight=3]; 18.26/6.64 287[label="True && xy26",fontsize=16,color="black",shape="box"];287 -> 485[label="",style="solid", color="black", weight=3]; 18.26/6.64 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346[label="xy4000 == xy3000",fontsize=16,color="magenta"];346 -> 514[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 346 -> 515[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 347 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 347[label="xy4000 == xy3000",fontsize=16,color="magenta"];347 -> 516[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 347 -> 517[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 348 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 348[label="xy4000 == xy3000",fontsize=16,color="magenta"];348 -> 518[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 348 -> 519[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 349 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 349[label="xy4000 == xy3000",fontsize=16,color="magenta"];349 -> 520[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 349 -> 521[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 350 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 350[label="xy4000 == xy3000",fontsize=16,color="magenta"];350 -> 522[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 350 -> 523[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 351 -> 43[label="",style="dashed", color="red", weight=0]; 18.26/6.64 351[label="xy4000 == xy3000",fontsize=16,color="magenta"];351 -> 524[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 351 -> 525[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 352 -> 44[label="",style="dashed", color="red", weight=0]; 18.26/6.64 352[label="xy4000 == xy3000",fontsize=16,color="magenta"];352 -> 526[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 352 -> 527[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 353 -> 45[label="",style="dashed", color="red", weight=0]; 18.26/6.64 353[label="xy4000 == xy3000",fontsize=16,color="magenta"];353 -> 528[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 353 -> 529[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 354 -> 46[label="",style="dashed", color="red", weight=0]; 18.26/6.64 354[label="xy4000 == xy3000",fontsize=16,color="magenta"];354 -> 530[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 354 -> 531[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 355 -> 47[label="",style="dashed", color="red", weight=0]; 18.26/6.64 355[label="xy4000 == xy3000",fontsize=16,color="magenta"];355 -> 532[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 355 -> 533[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 356 -> 48[label="",style="dashed", color="red", weight=0]; 18.26/6.64 356[label="xy4000 == xy3000",fontsize=16,color="magenta"];356 -> 534[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 356 -> 535[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 357 -> 49[label="",style="dashed", color="red", weight=0]; 18.26/6.64 357[label="xy4000 == xy3000",fontsize=16,color="magenta"];357 -> 536[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 357 -> 537[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 358 -> 50[label="",style="dashed", color="red", weight=0]; 18.26/6.64 358[label="xy4000 == xy3000",fontsize=16,color="magenta"];358 -> 538[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 358 -> 539[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 359 -> 51[label="",style="dashed", color="red", weight=0]; 18.26/6.64 359[label="xy4000 == xy3000",fontsize=16,color="magenta"];359 -> 540[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 359 -> 541[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 360[label="xy4000",fontsize=16,color="green",shape="box"];361[label="xy3000",fontsize=16,color="green",shape="box"];362[label="xy4000",fontsize=16,color="green",shape="box"];363[label="xy3000",fontsize=16,color="green",shape="box"];364[label="xy4000",fontsize=16,color="green",shape="box"];365[label="xy3000",fontsize=16,color="green",shape="box"];366[label="xy4000",fontsize=16,color="green",shape="box"];367[label="xy3000",fontsize=16,color="green",shape="box"];368[label="xy4000",fontsize=16,color="green",shape="box"];369[label="xy3000",fontsize=16,color="green",shape="box"];370[label="xy4000",fontsize=16,color="green",shape="box"];371[label="xy3000",fontsize=16,color="green",shape="box"];372[label="xy4000",fontsize=16,color="green",shape="box"];373[label="xy3000",fontsize=16,color="green",shape="box"];374[label="xy4000",fontsize=16,color="green",shape="box"];375[label="xy3000",fontsize=16,color="green",shape="box"];376[label="xy4000",fontsize=16,color="green",shape="box"];377[label="xy3000",fontsize=16,color="green",shape="box"];378[label="xy4000",fontsize=16,color="green",shape="box"];379[label="xy3000",fontsize=16,color="green",shape="box"];380[label="xy4000",fontsize=16,color="green",shape="box"];381[label="xy3000",fontsize=16,color="green",shape="box"];382[label="xy4000",fontsize=16,color="green",shape="box"];383[label="xy3000",fontsize=16,color="green",shape="box"];384[label="xy4000",fontsize=16,color="green",shape="box"];385[label="xy3000",fontsize=16,color="green",shape="box"];386[label="xy4000",fontsize=16,color="green",shape="box"];387[label="xy3000",fontsize=16,color="green",shape="box"];388[label="primEqNat 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958 -> 545[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 390[label="primEqInt (Pos (Succ xy40000)) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];390 -> 546[label="",style="solid", color="black", weight=3]; 18.26/6.64 391[label="primEqInt (Pos (Succ xy40000)) (Pos Zero)",fontsize=16,color="black",shape="box"];391 -> 547[label="",style="solid", color="black", weight=3]; 18.26/6.64 392[label="False",fontsize=16,color="green",shape="box"];393[label="primEqInt (Pos Zero) (Pos (Succ xy30000))",fontsize=16,color="black",shape="box"];393 -> 548[label="",style="solid", color="black", weight=3]; 18.26/6.64 394[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];394 -> 549[label="",style="solid", color="black", weight=3]; 18.26/6.64 395[label="primEqInt (Pos Zero) (Neg (Succ xy30000))",fontsize=16,color="black",shape="box"];395 -> 550[label="",style="solid", color="black", weight=3]; 18.26/6.64 396[label="primEqInt (Pos Zero) (Neg 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403[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];403 -> 557[label="",style="solid", color="black", weight=3]; 18.26/6.64 404[label="xy4000 * xy3001",fontsize=16,color="black",shape="triangle"];404 -> 558[label="",style="solid", color="black", weight=3]; 18.26/6.64 405 -> 404[label="",style="dashed", color="red", weight=0]; 18.26/6.64 405[label="xy4001 * xy3000",fontsize=16,color="magenta"];405 -> 559[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 405 -> 560[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 406[label="xy4001",fontsize=16,color="green",shape="box"];407[label="xy3001",fontsize=16,color="green",shape="box"];408 -> 38[label="",style="dashed", color="red", weight=0]; 18.26/6.64 408[label="xy4000 == xy3000",fontsize=16,color="magenta"];408 -> 561[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 408 -> 562[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 409 -> 39[label="",style="dashed", color="red", weight=0]; 18.26/6.64 409[label="xy4000 == xy3000",fontsize=16,color="magenta"];409 -> 563[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 409 -> 564[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 410 -> 40[label="",style="dashed", color="red", weight=0]; 18.26/6.64 410[label="xy4000 == xy3000",fontsize=16,color="magenta"];410 -> 565[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 410 -> 566[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 411 -> 41[label="",style="dashed", color="red", weight=0]; 18.26/6.64 411[label="xy4000 == xy3000",fontsize=16,color="magenta"];411 -> 567[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 411 -> 568[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 412 -> 42[label="",style="dashed", color="red", weight=0]; 18.26/6.64 412[label="xy4000 == xy3000",fontsize=16,color="magenta"];412 -> 569[label="",style="dashed", 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547[label="False",fontsize=16,color="green",shape="box"];548[label="False",fontsize=16,color="green",shape="box"];549[label="True",fontsize=16,color="green",shape="box"];550[label="False",fontsize=16,color="green",shape="box"];551[label="True",fontsize=16,color="green",shape="box"];552 -> 220[label="",style="dashed", color="red", weight=0]; 18.26/6.64 552[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];552 -> 663[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 552 -> 664[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 553[label="False",fontsize=16,color="green",shape="box"];554[label="False",fontsize=16,color="green",shape="box"];555[label="True",fontsize=16,color="green",shape="box"];556[label="False",fontsize=16,color="green",shape="box"];557[label="True",fontsize=16,color="green",shape="box"];558[label="primMulInt xy4000 xy3001",fontsize=16,color="burlywood",shape="box"];959[label="xy4000/Pos xy40000",fontsize=10,color="white",style="solid",shape="box"];558 -> 959[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 959 -> 665[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 960[label="xy4000/Neg xy40000",fontsize=10,color="white",style="solid",shape="box"];558 -> 960[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 960 -> 666[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 559[label="xy4001",fontsize=16,color="green",shape="box"];560[label="xy3000",fontsize=16,color="green",shape="box"];561[label="xy4000",fontsize=16,color="green",shape="box"];562[label="xy3000",fontsize=16,color="green",shape="box"];563[label="xy4000",fontsize=16,color="green",shape="box"];564[label="xy3000",fontsize=16,color="green",shape="box"];565[label="xy4000",fontsize=16,color="green",shape="box"];566[label="xy3000",fontsize=16,color="green",shape="box"];567[label="xy4000",fontsize=16,color="green",shape="box"];568[label="xy3000",fontsize=16,color="green",shape="box"];569[label="xy4000",fontsize=16,color="green",shape="box"];570[label="xy3000",fontsize=16,color="green",shape="box"];571[label="xy4000",fontsize=16,color="green",shape="box"];572[label="xy3000",fontsize=16,color="green",shape="box"];573[label="xy4000",fontsize=16,color="green",shape="box"];574[label="xy3000",fontsize=16,color="green",shape="box"];575[label="xy4000",fontsize=16,color="green",shape="box"];576[label="xy3000",fontsize=16,color="green",shape="box"];577[label="xy4000",fontsize=16,color="green",shape="box"];578[label="xy3000",fontsize=16,color="green",shape="box"];579[label="xy4000",fontsize=16,color="green",shape="box"];580[label="xy3000",fontsize=16,color="green",shape="box"];581[label="xy4000",fontsize=16,color="green",shape="box"];582[label="xy3000",fontsize=16,color="green",shape="box"];583[label="xy4000",fontsize=16,color="green",shape="box"];584[label="xy3000",fontsize=16,color="green",shape="box"];585[label="xy4000",fontsize=16,color="green",shape="box"];586[label="xy3000",fontsize=16,color="green",shape="box"];587[label="xy4000",fontsize=16,color="green",shape="box"];588[label="xy3000",fontsize=16,color="green",shape="box"];589[label="xy4000",fontsize=16,color="green",shape="box"];590[label="xy3001",fontsize=16,color="green",shape="box"];591[label="xy4001",fontsize=16,color="green",shape="box"];592[label="xy3000",fontsize=16,color="green",shape="box"];593[label="xy4001",fontsize=16,color="green",shape="box"];594[label="xy3001",fontsize=16,color="green",shape="box"];595[label="xy4001",fontsize=16,color="green",shape="box"];596[label="xy3001",fontsize=16,color="green",shape="box"];597[label="xy4000",fontsize=16,color="green",shape="box"];598[label="xy3000",fontsize=16,color="green",shape="box"];599[label="xy4000",fontsize=16,color="green",shape="box"];600[label="xy3000",fontsize=16,color="green",shape="box"];601[label="xy4002",fontsize=16,color="green",shape="box"];602[label="xy3002",fontsize=16,color="green",shape="box"];603[label="xy4002",fontsize=16,color="green",shape="box"];604[label="xy3002",fontsize=16,color="green",shape="box"];605[label="xy4002",fontsize=16,color="green",shape="box"];606[label="xy3002",fontsize=16,color="green",shape="box"];607[label="xy4002",fontsize=16,color="green",shape="box"];608[label="xy3002",fontsize=16,color="green",shape="box"];609[label="xy4002",fontsize=16,color="green",shape="box"];610[label="xy3002",fontsize=16,color="green",shape="box"];611[label="xy4002",fontsize=16,color="green",shape="box"];612[label="xy3002",fontsize=16,color="green",shape="box"];613[label="xy4002",fontsize=16,color="green",shape="box"];614[label="xy3002",fontsize=16,color="green",shape="box"];615[label="xy4002",fontsize=16,color="green",shape="box"];616[label="xy3002",fontsize=16,color="green",shape="box"];617[label="xy4002",fontsize=16,color="green",shape="box"];618[label="xy3002",fontsize=16,color="green",shape="box"];619[label="xy4002",fontsize=16,color="green",shape="box"];620[label="xy3002",fontsize=16,color="green",shape="box"];621[label="xy4002",fontsize=16,color="green",shape="box"];622[label="xy3002",fontsize=16,color="green",shape="box"];623[label="xy4002",fontsize=16,color="green",shape="box"];624[label="xy3002",fontsize=16,color="green",shape="box"];625[label="xy4002",fontsize=16,color="green",shape="box"];626[label="xy3002",fontsize=16,color="green",shape="box"];627[label="xy4002",fontsize=16,color="green",shape="box"];628[label="xy3002",fontsize=16,color="green",shape="box"];629[label="xy4001",fontsize=16,color="green",shape="box"];630[label="xy3001",fontsize=16,color="green",shape="box"];631[label="xy4001",fontsize=16,color="green",shape="box"];632[label="xy3001",fontsize=16,color="green",shape="box"];633[label="xy4001",fontsize=16,color="green",shape="box"];634[label="xy3001",fontsize=16,color="green",shape="box"];635[label="xy4001",fontsize=16,color="green",shape="box"];636[label="xy3001",fontsize=16,color="green",shape="box"];637[label="xy4001",fontsize=16,color="green",shape="box"];638[label="xy3001",fontsize=16,color="green",shape="box"];639[label="xy4001",fontsize=16,color="green",shape="box"];640[label="xy3001",fontsize=16,color="green",shape="box"];641[label="xy4001",fontsize=16,color="green",shape="box"];642[label="xy3001",fontsize=16,color="green",shape="box"];643[label="xy4001",fontsize=16,color="green",shape="box"];644[label="xy3001",fontsize=16,color="green",shape="box"];645[label="xy4001",fontsize=16,color="green",shape="box"];646[label="xy3001",fontsize=16,color="green",shape="box"];647[label="xy4001",fontsize=16,color="green",shape="box"];648[label="xy3001",fontsize=16,color="green",shape="box"];649[label="xy4001",fontsize=16,color="green",shape="box"];650[label="xy3001",fontsize=16,color="green",shape="box"];651[label="xy4001",fontsize=16,color="green",shape="box"];652[label="xy3001",fontsize=16,color="green",shape="box"];653[label="xy4001",fontsize=16,color="green",shape="box"];654[label="xy3001",fontsize=16,color="green",shape="box"];655[label="xy4001",fontsize=16,color="green",shape="box"];656[label="xy3001",fontsize=16,color="green",shape="box"];657 -> 220[label="",style="dashed", color="red", weight=0]; 18.26/6.64 657[label="primEqNat xy40000 xy30000",fontsize=16,color="magenta"];657 -> 667[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 657 -> 668[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 658[label="False",fontsize=16,color="green",shape="box"];659[label="False",fontsize=16,color="green",shape="box"];660[label="True",fontsize=16,color="green",shape="box"];661[label="xy40000",fontsize=16,color="green",shape="box"];662[label="xy30000",fontsize=16,color="green",shape="box"];663[label="xy40000",fontsize=16,color="green",shape="box"];664[label="xy30000",fontsize=16,color="green",shape="box"];665[label="primMulInt (Pos xy40000) xy3001",fontsize=16,color="burlywood",shape="box"];961[label="xy3001/Pos xy30010",fontsize=10,color="white",style="solid",shape="box"];665 -> 961[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 961 -> 669[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 962[label="xy3001/Neg xy30010",fontsize=10,color="white",style="solid",shape="box"];665 -> 962[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 962 -> 670[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 666[label="primMulInt (Neg xy40000) xy3001",fontsize=16,color="burlywood",shape="box"];963[label="xy3001/Pos xy30010",fontsize=10,color="white",style="solid",shape="box"];666 -> 963[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 963 -> 671[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 964[label="xy3001/Neg xy30010",fontsize=10,color="white",style="solid",shape="box"];666 -> 964[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 964 -> 672[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 667[label="xy40000",fontsize=16,color="green",shape="box"];668[label="xy30000",fontsize=16,color="green",shape="box"];669[label="primMulInt (Pos xy40000) (Pos xy30010)",fontsize=16,color="black",shape="box"];669 -> 673[label="",style="solid", color="black", weight=3]; 18.26/6.64 670[label="primMulInt (Pos xy40000) (Neg xy30010)",fontsize=16,color="black",shape="box"];670 -> 674[label="",style="solid", color="black", weight=3]; 18.26/6.64 671[label="primMulInt (Neg xy40000) (Pos xy30010)",fontsize=16,color="black",shape="box"];671 -> 675[label="",style="solid", color="black", weight=3]; 18.26/6.64 672[label="primMulInt (Neg xy40000) (Neg xy30010)",fontsize=16,color="black",shape="box"];672 -> 676[label="",style="solid", color="black", weight=3]; 18.26/6.64 673[label="Pos (primMulNat xy40000 xy30010)",fontsize=16,color="green",shape="box"];673 -> 677[label="",style="dashed", color="green", weight=3]; 18.26/6.64 674[label="Neg (primMulNat xy40000 xy30010)",fontsize=16,color="green",shape="box"];674 -> 678[label="",style="dashed", color="green", weight=3]; 18.26/6.64 675[label="Neg (primMulNat xy40000 xy30010)",fontsize=16,color="green",shape="box"];675 -> 679[label="",style="dashed", color="green", weight=3]; 18.26/6.64 676[label="Pos (primMulNat xy40000 xy30010)",fontsize=16,color="green",shape="box"];676 -> 680[label="",style="dashed", color="green", weight=3]; 18.26/6.64 677[label="primMulNat xy40000 xy30010",fontsize=16,color="burlywood",shape="triangle"];965[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];677 -> 965[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 965 -> 681[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 966[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];677 -> 966[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 966 -> 682[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 678 -> 677[label="",style="dashed", color="red", weight=0]; 18.26/6.64 678[label="primMulNat xy40000 xy30010",fontsize=16,color="magenta"];678 -> 683[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 679 -> 677[label="",style="dashed", color="red", weight=0]; 18.26/6.64 679[label="primMulNat xy40000 xy30010",fontsize=16,color="magenta"];679 -> 684[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 680 -> 677[label="",style="dashed", color="red", weight=0]; 18.26/6.64 680[label="primMulNat xy40000 xy30010",fontsize=16,color="magenta"];680 -> 685[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 680 -> 686[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 681[label="primMulNat (Succ xy400000) xy30010",fontsize=16,color="burlywood",shape="box"];967[label="xy30010/Succ xy300100",fontsize=10,color="white",style="solid",shape="box"];681 -> 967[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 967 -> 687[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 968[label="xy30010/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 968[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 968 -> 688[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 682[label="primMulNat Zero xy30010",fontsize=16,color="burlywood",shape="box"];969[label="xy30010/Succ xy300100",fontsize=10,color="white",style="solid",shape="box"];682 -> 969[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 969 -> 689[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 970[label="xy30010/Zero",fontsize=10,color="white",style="solid",shape="box"];682 -> 970[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 970 -> 690[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 683[label="xy30010",fontsize=16,color="green",shape="box"];684[label="xy40000",fontsize=16,color="green",shape="box"];685[label="xy30010",fontsize=16,color="green",shape="box"];686[label="xy40000",fontsize=16,color="green",shape="box"];687[label="primMulNat (Succ xy400000) (Succ xy300100)",fontsize=16,color="black",shape="box"];687 -> 691[label="",style="solid", color="black", weight=3]; 18.26/6.64 688[label="primMulNat (Succ xy400000) Zero",fontsize=16,color="black",shape="box"];688 -> 692[label="",style="solid", color="black", weight=3]; 18.26/6.64 689[label="primMulNat Zero (Succ xy300100)",fontsize=16,color="black",shape="box"];689 -> 693[label="",style="solid", color="black", weight=3]; 18.26/6.64 690[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];690 -> 694[label="",style="solid", color="black", weight=3]; 18.26/6.64 691 -> 695[label="",style="dashed", color="red", weight=0]; 18.26/6.64 691[label="primPlusNat (primMulNat xy400000 (Succ xy300100)) (Succ xy300100)",fontsize=16,color="magenta"];691 -> 696[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 692[label="Zero",fontsize=16,color="green",shape="box"];693[label="Zero",fontsize=16,color="green",shape="box"];694[label="Zero",fontsize=16,color="green",shape="box"];696 -> 677[label="",style="dashed", color="red", weight=0]; 18.26/6.64 696[label="primMulNat xy400000 (Succ xy300100)",fontsize=16,color="magenta"];696 -> 697[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 696 -> 698[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 695[label="primPlusNat xy27 (Succ xy300100)",fontsize=16,color="burlywood",shape="triangle"];971[label="xy27/Succ xy270",fontsize=10,color="white",style="solid",shape="box"];695 -> 971[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 971 -> 699[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 972[label="xy27/Zero",fontsize=10,color="white",style="solid",shape="box"];695 -> 972[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 972 -> 700[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 697[label="Succ xy300100",fontsize=16,color="green",shape="box"];698[label="xy400000",fontsize=16,color="green",shape="box"];699[label="primPlusNat (Succ xy270) (Succ xy300100)",fontsize=16,color="black",shape="box"];699 -> 701[label="",style="solid", color="black", weight=3]; 18.26/6.64 700[label="primPlusNat Zero (Succ xy300100)",fontsize=16,color="black",shape="box"];700 -> 702[label="",style="solid", color="black", weight=3]; 18.26/6.64 701[label="Succ (Succ (primPlusNat xy270 xy300100))",fontsize=16,color="green",shape="box"];701 -> 703[label="",style="dashed", color="green", weight=3]; 18.26/6.64 702[label="Succ xy300100",fontsize=16,color="green",shape="box"];703[label="primPlusNat xy270 xy300100",fontsize=16,color="burlywood",shape="triangle"];973[label="xy270/Succ xy2700",fontsize=10,color="white",style="solid",shape="box"];703 -> 973[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 973 -> 704[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 974[label="xy270/Zero",fontsize=10,color="white",style="solid",shape="box"];703 -> 974[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 974 -> 705[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 704[label="primPlusNat (Succ xy2700) xy300100",fontsize=16,color="burlywood",shape="box"];975[label="xy300100/Succ xy3001000",fontsize=10,color="white",style="solid",shape="box"];704 -> 975[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 975 -> 706[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 976[label="xy300100/Zero",fontsize=10,color="white",style="solid",shape="box"];704 -> 976[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 976 -> 707[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 705[label="primPlusNat Zero xy300100",fontsize=16,color="burlywood",shape="box"];977[label="xy300100/Succ xy3001000",fontsize=10,color="white",style="solid",shape="box"];705 -> 977[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 977 -> 708[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 978[label="xy300100/Zero",fontsize=10,color="white",style="solid",shape="box"];705 -> 978[label="",style="solid", color="burlywood", weight=9]; 18.26/6.64 978 -> 709[label="",style="solid", color="burlywood", weight=3]; 18.26/6.64 706[label="primPlusNat (Succ xy2700) (Succ xy3001000)",fontsize=16,color="black",shape="box"];706 -> 710[label="",style="solid", color="black", weight=3]; 18.26/6.64 707[label="primPlusNat (Succ xy2700) Zero",fontsize=16,color="black",shape="box"];707 -> 711[label="",style="solid", color="black", weight=3]; 18.26/6.64 708[label="primPlusNat Zero (Succ xy3001000)",fontsize=16,color="black",shape="box"];708 -> 712[label="",style="solid", color="black", weight=3]; 18.26/6.64 709[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];709 -> 713[label="",style="solid", color="black", weight=3]; 18.26/6.64 710[label="Succ (Succ (primPlusNat xy2700 xy3001000))",fontsize=16,color="green",shape="box"];710 -> 714[label="",style="dashed", color="green", weight=3]; 18.26/6.64 711[label="Succ xy2700",fontsize=16,color="green",shape="box"];712[label="Succ xy3001000",fontsize=16,color="green",shape="box"];713[label="Zero",fontsize=16,color="green",shape="box"];714 -> 703[label="",style="dashed", color="red", weight=0]; 18.26/6.64 714[label="primPlusNat xy2700 xy3001000",fontsize=16,color="magenta"];714 -> 715[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 714 -> 716[label="",style="dashed", color="magenta", weight=3]; 18.26/6.64 715[label="xy2700",fontsize=16,color="green",shape="box"];716[label="xy3001000",fontsize=16,color="green",shape="box"];} 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (8) 18.26/6.64 Complex Obligation (AND) 18.26/6.64 18.26/6.64 ---------------------------------------- 18.26/6.64 18.26/6.64 (9) 18.26/6.64 Obligation: 18.26/6.64 Q DP problem: 18.26/6.64 The TRS P consists of the following rules: 18.26/6.64 18.26/6.64 new_deleteBy(Just(xy400), :(Nothing, xy31), ba) -> new_deleteBy(Just(xy400), xy31, ba) 18.26/6.64 new_deleteBy0(xy10, xy11, xy12, False, bb) -> new_deleteBy(Just(xy12), xy10, bb) 18.26/6.64 new_deleteBy(Just(xy400), :(Just(xy300), xy31), ba) -> new_deleteBy0(xy31, xy300, xy400, new_esEs4(xy400, xy300, ba), ba) 18.26/6.64 new_deleteBy(Nothing, :(Just(xy300), xy31), ba) -> new_deleteBy(Nothing, xy31, ba) 18.26/6.64 18.26/6.64 The TRS R consists of the following rules: 18.26/6.64 18.26/6.64 new_esEs11(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs25(xy4000, xy3000, dc), new_asAs(new_esEs24(xy4001, xy3001, dd), new_esEs23(xy4002, xy3002, de))) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs13(xy4000, xy3000) 18.26/6.64 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.64 new_esEs12(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.64 new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.64 new_esEs24(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs15(xy4001, xy3001, bdc) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs15(xy4000, xy3000, cd) 18.26/6.64 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs11(xy4000, xy3000, bac, bad, bae) 18.26/6.64 new_esEs6(False, True) -> False 18.26/6.64 new_esEs6(True, False) -> False 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.64 new_esEs23(xy4002, xy3002, ty_Int) -> new_esEs13(xy4002, xy3002) 18.26/6.64 new_esEs16(GT, GT) -> True 18.26/6.64 new_esEs13(xy400, xy300) -> new_primEqInt(xy400, xy300) 18.26/6.64 new_esEs25(xy4000, xy3000, app(app(ty_@2, bde), bdf)) -> new_esEs9(xy4000, xy3000, bde, bdf) 18.26/6.64 new_esEs19(xy4001, xy3001, app(app(ty_@2, dh), ea)) -> new_esEs9(xy4001, xy3001, dh, ea) 18.26/6.64 new_esEs19(xy4001, xy3001, app(ty_Maybe, eg)) -> new_esEs5(xy4001, xy3001, eg) 18.26/6.64 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 18.26/6.64 new_esEs26(xy4000, xy3000, app(ty_[], bfg)) -> new_esEs15(xy4000, xy3000, bfg) 18.26/6.64 new_asAs(True, xy26) -> xy26 18.26/6.64 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.64 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs10(xy4000, xy3000, baa, bab) 18.26/6.64 new_esEs20(xy4000, xy3000, app(app(ty_@2, fb), fc)) -> new_esEs9(xy4000, xy3000, fb, fc) 18.26/6.64 new_esEs14(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.64 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 18.26/6.64 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 18.26/6.64 new_esEs23(xy4002, xy3002, app(ty_Ratio, bcb)) -> new_esEs18(xy4002, xy3002, bcb) 18.26/6.64 new_esEs26(xy4000, xy3000, app(app(ty_Either, bfa), bfb)) -> new_esEs10(xy4000, xy3000, bfa, bfb) 18.26/6.64 new_esEs20(xy4000, xy3000, app(ty_Maybe, gb)) -> new_esEs5(xy4000, xy3000, gb) 18.26/6.64 new_esEs23(xy4002, xy3002, app(app(ty_@2, bba), bbb)) -> new_esEs9(xy4002, xy3002, bba, bbb) 18.26/6.64 new_esEs21(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.64 new_esEs20(xy4000, xy3000, app(ty_[], gc)) -> new_esEs15(xy4000, xy3000, gc) 18.26/6.64 new_esEs24(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.64 new_esEs26(xy4000, xy3000, app(app(app(ty_@3, bfc), bfd), bfe)) -> new_esEs11(xy4000, xy3000, bfc, bfd, bfe) 18.26/6.64 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 18.26/6.64 new_esEs10(Left(xy4000), Right(xy3000), da, db) -> False 18.26/6.64 new_esEs10(Right(xy4000), Left(xy3000), da, db) -> False 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.64 new_esEs16(EQ, GT) -> False 18.26/6.64 new_esEs16(GT, EQ) -> False 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs8(xy4000, xy3000) 18.26/6.64 new_esEs4(xy400, xy300, ty_Char) -> new_esEs12(xy400, xy300) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.64 new_primMulNat0(Zero, Zero) -> Zero 18.26/6.64 new_esEs23(xy4002, xy3002, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs11(xy4002, xy3002, bbe, bbf, bbg) 18.26/6.64 new_esEs25(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.64 new_esEs23(xy4002, xy3002, ty_Char) -> new_esEs12(xy4002, xy3002) 18.26/6.64 new_esEs24(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs5(xy4001, xy3001, bdb) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs10(xy4000, xy3000, bf, bg) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.64 new_esEs15(:(xy4000, xy4001), [], df) -> False 18.26/6.64 new_esEs15([], :(xy3000, xy3001), df) -> False 18.26/6.64 new_esEs4(xy400, xy300, ty_@0) -> new_esEs8(xy400, xy300) 18.26/6.64 new_esEs8(@0, @0) -> True 18.26/6.64 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(xy400, xy300, dc, dd, de) 18.26/6.64 new_primEqNat0(Succ(xy40000), Zero) -> False 18.26/6.64 new_primEqNat0(Zero, Succ(xy30000)) -> False 18.26/6.64 new_esEs19(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs12(xy4000, xy3000) 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.64 new_esEs19(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.64 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs10(xy400, xy300, da, db) 18.26/6.64 new_esEs25(xy4000, xy3000, app(ty_Maybe, bed)) -> new_esEs5(xy4000, xy3000, bed) 18.26/6.64 new_esEs26(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.64 new_esEs16(LT, EQ) -> False 18.26/6.64 new_esEs16(EQ, LT) -> False 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 18.26/6.64 new_esEs26(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.64 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.64 new_esEs23(xy4002, xy3002, ty_@0) -> new_esEs8(xy4002, xy3002) 18.26/6.64 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 18.26/6.64 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 18.26/6.64 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.64 new_esEs19(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.64 new_esEs24(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs9(xy4001, xy3001, bcc, bcd) 18.26/6.64 new_esEs25(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(xy4000, xy3000, bh, ca, cb) 18.26/6.64 new_esEs26(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.64 new_sr(Pos(xy40000), Neg(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.64 new_sr(Neg(xy40000), Pos(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.64 new_esEs10(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.64 new_primPlusNat1(Succ(xy2700), Succ(xy3001000)) -> Succ(Succ(new_primPlusNat1(xy2700, xy3001000))) 18.26/6.64 new_esEs19(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.64 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 18.26/6.64 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 18.26/6.64 new_esEs20(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.64 new_esEs16(EQ, EQ) -> True 18.26/6.64 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.64 new_esEs19(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs10(xy4000, xy3000, gg, gh) 18.26/6.64 new_esEs21(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.64 new_esEs25(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.64 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs7(xy400, xy300) 18.26/6.64 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs15(xy400, xy300, df) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs11(xy4000, xy3000, ha, hb, hc) 18.26/6.64 new_esEs23(xy4002, xy3002, ty_Double) -> new_esEs14(xy4002, xy3002) 18.26/6.64 new_esEs5(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.64 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 18.26/6.64 new_esEs23(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 18.26/6.64 new_sr(Neg(xy40000), Neg(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.64 new_esEs10(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs7(xy4000, xy3000) 18.26/6.64 new_esEs26(xy4000, xy3000, app(app(ty_@2, beg), beh)) -> new_esEs9(xy4000, xy3000, beg, beh) 18.26/6.64 new_esEs4(xy400, xy300, ty_Double) -> new_esEs14(xy400, xy300) 18.26/6.64 new_esEs25(xy4000, xy3000, app(ty_[], bee)) -> new_esEs15(xy4000, xy3000, bee) 18.26/6.64 new_esEs9(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs20(xy4000, xy3000, cf), new_esEs19(xy4001, xy3001, cg)) 18.26/6.64 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs21(xy4001, xy3001, dg)) 18.26/6.64 new_esEs19(xy4001, xy3001, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs11(xy4001, xy3001, ed, ee, ef) 18.26/6.64 new_esEs24(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.64 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 18.26/6.64 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs16(LT, LT) -> True 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Integer) -> new_esEs7(xy4002, xy3002) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_Either, eb), ec)) -> new_esEs10(xy4001, xy3001, eb, ec) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Ratio, gd)) -> new_esEs18(xy4000, xy3000, gd) 18.26/6.65 new_esEs6(True, True) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs5(Nothing, Nothing, bc) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_[], eh)) -> new_esEs15(xy4001, xy3001, eh) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs11(xy4000, xy3000, fg, fh, ga) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 18.26/6.65 new_esEs5(Nothing, Just(xy3000), bc) -> False 18.26/6.65 new_esEs5(Just(xy4000), Nothing, bc) -> False 18.26/6.65 new_primPlusNat0(Succ(xy270), xy300100) -> Succ(Succ(new_primPlusNat1(xy270, xy300100))) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Maybe, bff)) -> new_esEs5(xy4000, xy3000, bff) 18.26/6.65 new_esEs6(False, False) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs15([], [], df) -> True 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_Either, fd), ff)) -> new_esEs10(xy4000, xy3000, fd, ff) 18.26/6.65 new_primPlusNat1(Zero, Zero) -> Zero 18.26/6.65 new_primMulNat0(Succ(xy400000), Zero) -> Zero 18.26/6.65 new_primMulNat0(Zero, Succ(xy300100)) -> Zero 18.26/6.65 new_sr(Pos(xy40000), Pos(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_primPlusNat0(Zero, xy300100) -> Succ(xy300100) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_[], bca)) -> new_esEs15(xy4002, xy3002, bca) 18.26/6.65 new_esEs15(:(xy4000, xy4001), :(xy3000, xy3001), df) -> new_asAs(new_esEs26(xy4000, xy3000, df), new_esEs15(xy4001, xy3001, df)) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Maybe, bbh)) -> new_esEs5(xy4002, xy3002, bbh) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Ratio, fa)) -> new_esEs18(xy4001, xy3001, fa) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_Either, bbc), bbd)) -> new_esEs10(xy4002, xy3002, bbc, bbd) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs9(xy4000, xy3000, hg, hh) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Ratio, bfh)) -> new_esEs18(xy4000, xy3000, bfh) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Succ(xy400000), Succ(xy300100)) -> new_primPlusNat0(new_primMulNat0(xy400000, Succ(xy300100)), xy300100) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs10(xy4001, xy3001, bce, bcf) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs15(xy4000, xy3000, he) 18.26/6.65 new_esEs16(LT, GT) -> False 18.26/6.65 new_esEs16(GT, LT) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs11(xy4001, xy3001, bcg, bch, bda) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Zero) -> Succ(xy2700) 18.26/6.65 new_primPlusNat1(Zero, Succ(xy3001000)) -> Succ(xy3001000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_Either, bdg), bdh)) -> new_esEs10(xy4000, xy3000, bdg, bdh) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs5(xy400, xy300, bc) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs9(xy400, xy300, cf, cg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs11(xy4000, xy3000, bea, beb, bec) 18.26/6.65 new_primEqNat0(Zero, Zero) -> True 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs9(xy4000, xy3000, bd, be) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_asAs(False, xy26) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs9(xy4000, xy3000, ge, gf) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs5(xy4000, xy3000, baf) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Ratio, bef)) -> new_esEs18(xy4000, xy3000, bef) 18.26/6.65 new_esEs4(xy400, xy300, ty_Int) -> new_esEs13(xy400, xy300) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs15(xy4000, xy3000, bag) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs5(xy4000, xy3000, cc) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs5(xy4000, xy3000, hd) 18.26/6.65 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_esEs7(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 18.26/6.65 The set Q consists of the following terms: 18.26/6.65 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 18.26/6.65 new_esEs13(x0, x1) 18.26/6.65 new_esEs25(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs23(x0, x1, ty_Bool) 18.26/6.65 new_esEs26(x0, x1, ty_Int) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Ordering) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 18.26/6.65 new_esEs25(x0, x1, ty_Int) 18.26/6.65 new_primMulNat0(Zero, Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, ty_Bool) 18.26/6.65 new_primPlusNat1(Zero, Zero) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 18.26/6.65 new_asAs(False, x0) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, ty_Double) 18.26/6.65 new_esEs22(x0, x1, ty_Int) 18.26/6.65 new_esEs4(x0, x1, ty_Integer) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs20(x0, x1, ty_Char) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Integer) 18.26/6.65 new_esEs23(x0, x1, ty_Integer) 18.26/6.65 new_esEs26(x0, x1, ty_Float) 18.26/6.65 new_esEs25(x0, x1, ty_Ordering) 18.26/6.65 new_primPlusNat0(Zero, x0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Float, x2) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_@0) 18.26/6.65 new_esEs19(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs24(x0, x1, ty_Bool) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs4(x0, x1, ty_@0) 18.26/6.65 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs4(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs16(EQ, EQ) 18.26/6.65 new_esEs23(x0, x1, ty_@0) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_[], x2), x3) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs12(Char(x0), Char(x1)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Int) 18.26/6.65 new_sr(Pos(x0), Neg(x1)) 18.26/6.65 new_sr(Neg(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs6(False, True) 18.26/6.65 new_esEs6(True, False) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Integer, x2) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs21(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Char) 18.26/6.65 new_esEs19(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Double) 18.26/6.65 new_esEs19(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, ty_Double) 18.26/6.65 new_esEs6(False, False) 18.26/6.65 new_esEs26(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_@0) 18.26/6.65 new_esEs24(x0, x1, ty_Char) 18.26/6.65 new_esEs25(x0, x1, ty_Bool) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 18.26/6.65 new_esEs20(x0, x1, ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Ordering, x2) 18.26/6.65 new_esEs23(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_sr(Neg(x0), Neg(x1)) 18.26/6.65 new_esEs26(x0, x1, ty_Ordering) 18.26/6.65 new_esEs26(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primMulNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 18.26/6.65 new_esEs5(Nothing, Nothing, x0) 18.26/6.65 new_esEs23(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Float) 18.26/6.65 new_primMulNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs7(Integer(x0), Integer(x1)) 18.26/6.65 new_esEs24(x0, x1, ty_Int) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 18.26/6.65 new_primPlusNat1(Zero, Succ(x0)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_[], x3)) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 18.26/6.65 new_primEqNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs20(x0, x1, ty_Ordering) 18.26/6.65 new_esEs15([], :(x0, x1), x2) 18.26/6.65 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 18.26/6.65 new_primPlusNat0(Succ(x0), x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Bool) 18.26/6.65 new_esEs23(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Ordering) 18.26/6.65 new_esEs20(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs19(x0, x1, ty_@0) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Bool) 18.26/6.65 new_primMulNat0(Succ(x0), Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Integer) 18.26/6.65 new_esEs16(LT, GT) 18.26/6.65 new_esEs16(GT, LT) 18.26/6.65 new_esEs4(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Double) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_@0, x2) 18.26/6.65 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs23(x0, x1, ty_Double) 18.26/6.65 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Nothing, x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 18.26/6.65 new_esEs23(x0, x1, ty_Float) 18.26/6.65 new_esEs26(x0, x1, ty_Integer) 18.26/6.65 new_asAs(True, x0) 18.26/6.65 new_esEs26(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Bool, x2) 18.26/6.65 new_primEqNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 18.26/6.65 new_esEs4(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_[], x2)) 18.26/6.65 new_esEs15([], [], x0) 18.26/6.65 new_esEs4(x0, x1, ty_Double) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Int) 18.26/6.65 new_esEs23(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_@0) 18.26/6.65 new_esEs25(x0, x1, ty_@0) 18.26/6.65 new_esEs20(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Float) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 18.26/6.65 new_esEs17(Float(x0, x1), Float(x2, x3)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs8(@0, @0) 18.26/6.65 new_esEs23(x0, x1, ty_Int) 18.26/6.65 new_esEs22(x0, x1, ty_Integer) 18.26/6.65 new_esEs21(x0, x1, ty_Integer) 18.26/6.65 new_primEqNat0(Zero, Zero) 18.26/6.65 new_esEs6(True, True) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Int, x2) 18.26/6.65 new_esEs20(x0, x1, ty_Bool) 18.26/6.65 new_esEs15(:(x0, x1), :(x2, x3), x4) 18.26/6.65 new_esEs19(x0, x1, ty_Integer) 18.26/6.65 new_primPlusNat1(Succ(x0), Zero) 18.26/6.65 new_esEs16(LT, LT) 18.26/6.65 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs20(x0, x1, ty_Float) 18.26/6.65 new_esEs5(Nothing, Just(x0), x1) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs24(x0, x1, ty_Integer) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 18.26/6.65 new_esEs24(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Right(x1), x2, x3) 18.26/6.65 new_esEs10(Right(x0), Left(x1), x2, x3) 18.26/6.65 new_esEs20(x0, x1, ty_Double) 18.26/6.65 new_esEs16(EQ, GT) 18.26/6.65 new_esEs16(GT, EQ) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_primPlusNat1(Succ(x0), Succ(x1)) 18.26/6.65 new_esEs20(x0, x1, ty_Int) 18.26/6.65 new_sr(Pos(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5) 18.26/6.65 new_esEs26(x0, x1, ty_Char) 18.26/6.65 new_esEs15(:(x0, x1), [], x2) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Double, x2) 18.26/6.65 new_esEs26(x0, x1, ty_@0) 18.26/6.65 new_esEs25(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 18.26/6.65 new_esEs26(x0, x1, ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs20(x0, x1, ty_@0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Char, x2) 18.26/6.65 new_esEs16(LT, EQ) 18.26/6.65 new_esEs16(EQ, LT) 18.26/6.65 new_esEs19(x0, x1, ty_Ordering) 18.26/6.65 new_esEs14(Double(x0, x1), Double(x2, x3)) 18.26/6.65 new_primEqNat0(Succ(x0), Zero) 18.26/6.65 new_esEs16(GT, GT) 18.26/6.65 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, ty_Ordering) 18.26/6.65 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (10) DependencyGraphProof (EQUIVALENT) 18.26/6.65 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (11) 18.26/6.65 Complex Obligation (AND) 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (12) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_deleteBy(Nothing, :(Just(xy300), xy31), ba) -> new_deleteBy(Nothing, xy31, ba) 18.26/6.65 18.26/6.65 The TRS R consists of the following rules: 18.26/6.65 18.26/6.65 new_esEs11(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs25(xy4000, xy3000, dc), new_asAs(new_esEs24(xy4001, xy3001, dd), new_esEs23(xy4002, xy3002, de))) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs12(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs15(xy4001, xy3001, bdc) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs15(xy4000, xy3000, cd) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs11(xy4000, xy3000, bac, bad, bae) 18.26/6.65 new_esEs6(False, True) -> False 18.26/6.65 new_esEs6(True, False) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Int) -> new_esEs13(xy4002, xy3002) 18.26/6.65 new_esEs16(GT, GT) -> True 18.26/6.65 new_esEs13(xy400, xy300) -> new_primEqInt(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_@2, bde), bdf)) -> new_esEs9(xy4000, xy3000, bde, bdf) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_@2, dh), ea)) -> new_esEs9(xy4001, xy3001, dh, ea) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Maybe, eg)) -> new_esEs5(xy4001, xy3001, eg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_[], bfg)) -> new_esEs15(xy4000, xy3000, bfg) 18.26/6.65 new_asAs(True, xy26) -> xy26 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs10(xy4000, xy3000, baa, bab) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_@2, fb), fc)) -> new_esEs9(xy4000, xy3000, fb, fc) 18.26/6.65 new_esEs14(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Ratio, bcb)) -> new_esEs18(xy4002, xy3002, bcb) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_Either, bfa), bfb)) -> new_esEs10(xy4000, xy3000, bfa, bfb) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Maybe, gb)) -> new_esEs5(xy4000, xy3000, gb) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_@2, bba), bbb)) -> new_esEs9(xy4002, xy3002, bba, bbb) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_[], gc)) -> new_esEs15(xy4000, xy3000, gc) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(app(ty_@3, bfc), bfd), bfe)) -> new_esEs11(xy4000, xy3000, bfc, bfd, bfe) 18.26/6.65 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs10(Left(xy4000), Right(xy3000), da, db) -> False 18.26/6.65 new_esEs10(Right(xy4000), Left(xy3000), da, db) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs16(EQ, GT) -> False 18.26/6.65 new_esEs16(GT, EQ) -> False 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Char) -> new_esEs12(xy400, xy300) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Zero, Zero) -> Zero 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs11(xy4002, xy3002, bbe, bbf, bbg) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Char) -> new_esEs12(xy4002, xy3002) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs5(xy4001, xy3001, bdb) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs10(xy4000, xy3000, bf, bg) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs15(:(xy4000, xy4001), [], df) -> False 18.26/6.65 new_esEs15([], :(xy3000, xy3001), df) -> False 18.26/6.65 new_esEs4(xy400, xy300, ty_@0) -> new_esEs8(xy400, xy300) 18.26/6.65 new_esEs8(@0, @0) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(xy400, xy300, dc, dd, de) 18.26/6.65 new_primEqNat0(Succ(xy40000), Zero) -> False 18.26/6.65 new_primEqNat0(Zero, Succ(xy30000)) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs10(xy400, xy300, da, db) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Maybe, bed)) -> new_esEs5(xy4000, xy3000, bed) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(LT, EQ) -> False 18.26/6.65 new_esEs16(EQ, LT) -> False 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_@0) -> new_esEs8(xy4002, xy3002) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs9(xy4001, xy3001, bcc, bcd) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(xy4000, xy3000, bh, ca, cb) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_sr(Pos(xy40000), Neg(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_sr(Neg(xy40000), Pos(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Succ(xy3001000)) -> Succ(Succ(new_primPlusNat1(xy2700, xy3001000))) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(EQ, EQ) -> True 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs10(xy4000, xy3000, gg, gh) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs7(xy400, xy300) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs15(xy400, xy300, df) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs11(xy4000, xy3000, ha, hb, hc) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Double) -> new_esEs14(xy4002, xy3002) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 18.26/6.65 new_sr(Neg(xy40000), Neg(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_@2, beg), beh)) -> new_esEs9(xy4000, xy3000, beg, beh) 18.26/6.65 new_esEs4(xy400, xy300, ty_Double) -> new_esEs14(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_[], bee)) -> new_esEs15(xy4000, xy3000, bee) 18.26/6.65 new_esEs9(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs20(xy4000, xy3000, cf), new_esEs19(xy4001, xy3001, cg)) 18.26/6.65 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs21(xy4001, xy3001, dg)) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs11(xy4001, xy3001, ed, ee, ef) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs16(LT, LT) -> True 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Integer) -> new_esEs7(xy4002, xy3002) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_Either, eb), ec)) -> new_esEs10(xy4001, xy3001, eb, ec) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Ratio, gd)) -> new_esEs18(xy4000, xy3000, gd) 18.26/6.65 new_esEs6(True, True) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs5(Nothing, Nothing, bc) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_[], eh)) -> new_esEs15(xy4001, xy3001, eh) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs11(xy4000, xy3000, fg, fh, ga) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 18.26/6.65 new_esEs5(Nothing, Just(xy3000), bc) -> False 18.26/6.65 new_esEs5(Just(xy4000), Nothing, bc) -> False 18.26/6.65 new_primPlusNat0(Succ(xy270), xy300100) -> Succ(Succ(new_primPlusNat1(xy270, xy300100))) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Maybe, bff)) -> new_esEs5(xy4000, xy3000, bff) 18.26/6.65 new_esEs6(False, False) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs15([], [], df) -> True 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_Either, fd), ff)) -> new_esEs10(xy4000, xy3000, fd, ff) 18.26/6.65 new_primPlusNat1(Zero, Zero) -> Zero 18.26/6.65 new_primMulNat0(Succ(xy400000), Zero) -> Zero 18.26/6.65 new_primMulNat0(Zero, Succ(xy300100)) -> Zero 18.26/6.65 new_sr(Pos(xy40000), Pos(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_primPlusNat0(Zero, xy300100) -> Succ(xy300100) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_[], bca)) -> new_esEs15(xy4002, xy3002, bca) 18.26/6.65 new_esEs15(:(xy4000, xy4001), :(xy3000, xy3001), df) -> new_asAs(new_esEs26(xy4000, xy3000, df), new_esEs15(xy4001, xy3001, df)) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Maybe, bbh)) -> new_esEs5(xy4002, xy3002, bbh) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Ratio, fa)) -> new_esEs18(xy4001, xy3001, fa) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_Either, bbc), bbd)) -> new_esEs10(xy4002, xy3002, bbc, bbd) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs9(xy4000, xy3000, hg, hh) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Ratio, bfh)) -> new_esEs18(xy4000, xy3000, bfh) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Succ(xy400000), Succ(xy300100)) -> new_primPlusNat0(new_primMulNat0(xy400000, Succ(xy300100)), xy300100) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs10(xy4001, xy3001, bce, bcf) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs15(xy4000, xy3000, he) 18.26/6.65 new_esEs16(LT, GT) -> False 18.26/6.65 new_esEs16(GT, LT) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs11(xy4001, xy3001, bcg, bch, bda) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Zero) -> Succ(xy2700) 18.26/6.65 new_primPlusNat1(Zero, Succ(xy3001000)) -> Succ(xy3001000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_Either, bdg), bdh)) -> new_esEs10(xy4000, xy3000, bdg, bdh) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs5(xy400, xy300, bc) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs9(xy400, xy300, cf, cg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs11(xy4000, xy3000, bea, beb, bec) 18.26/6.65 new_primEqNat0(Zero, Zero) -> True 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs9(xy4000, xy3000, bd, be) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_asAs(False, xy26) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs9(xy4000, xy3000, ge, gf) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs5(xy4000, xy3000, baf) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Ratio, bef)) -> new_esEs18(xy4000, xy3000, bef) 18.26/6.65 new_esEs4(xy400, xy300, ty_Int) -> new_esEs13(xy400, xy300) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs15(xy4000, xy3000, bag) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs5(xy4000, xy3000, cc) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs5(xy4000, xy3000, hd) 18.26/6.65 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_esEs7(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 18.26/6.65 The set Q consists of the following terms: 18.26/6.65 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 18.26/6.65 new_esEs13(x0, x1) 18.26/6.65 new_esEs25(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs23(x0, x1, ty_Bool) 18.26/6.65 new_esEs26(x0, x1, ty_Int) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Ordering) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 18.26/6.65 new_esEs25(x0, x1, ty_Int) 18.26/6.65 new_primMulNat0(Zero, Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, ty_Bool) 18.26/6.65 new_primPlusNat1(Zero, Zero) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 18.26/6.65 new_asAs(False, x0) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, ty_Double) 18.26/6.65 new_esEs22(x0, x1, ty_Int) 18.26/6.65 new_esEs4(x0, x1, ty_Integer) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs20(x0, x1, ty_Char) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Integer) 18.26/6.65 new_esEs23(x0, x1, ty_Integer) 18.26/6.65 new_esEs26(x0, x1, ty_Float) 18.26/6.65 new_esEs25(x0, x1, ty_Ordering) 18.26/6.65 new_primPlusNat0(Zero, x0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Float, x2) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_@0) 18.26/6.65 new_esEs19(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs24(x0, x1, ty_Bool) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs4(x0, x1, ty_@0) 18.26/6.65 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs4(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs16(EQ, EQ) 18.26/6.65 new_esEs23(x0, x1, ty_@0) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_[], x2), x3) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs12(Char(x0), Char(x1)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Int) 18.26/6.65 new_sr(Pos(x0), Neg(x1)) 18.26/6.65 new_sr(Neg(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs6(False, True) 18.26/6.65 new_esEs6(True, False) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Integer, x2) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs21(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Char) 18.26/6.65 new_esEs19(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Double) 18.26/6.65 new_esEs19(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, ty_Double) 18.26/6.65 new_esEs6(False, False) 18.26/6.65 new_esEs26(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_@0) 18.26/6.65 new_esEs24(x0, x1, ty_Char) 18.26/6.65 new_esEs25(x0, x1, ty_Bool) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 18.26/6.65 new_esEs20(x0, x1, ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Ordering, x2) 18.26/6.65 new_esEs23(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_sr(Neg(x0), Neg(x1)) 18.26/6.65 new_esEs26(x0, x1, ty_Ordering) 18.26/6.65 new_esEs26(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primMulNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 18.26/6.65 new_esEs5(Nothing, Nothing, x0) 18.26/6.65 new_esEs23(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Float) 18.26/6.65 new_primMulNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs7(Integer(x0), Integer(x1)) 18.26/6.65 new_esEs24(x0, x1, ty_Int) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 18.26/6.65 new_primPlusNat1(Zero, Succ(x0)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_[], x3)) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 18.26/6.65 new_primEqNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs20(x0, x1, ty_Ordering) 18.26/6.65 new_esEs15([], :(x0, x1), x2) 18.26/6.65 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 18.26/6.65 new_primPlusNat0(Succ(x0), x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Bool) 18.26/6.65 new_esEs23(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Ordering) 18.26/6.65 new_esEs20(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs19(x0, x1, ty_@0) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Bool) 18.26/6.65 new_primMulNat0(Succ(x0), Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Integer) 18.26/6.65 new_esEs16(LT, GT) 18.26/6.65 new_esEs16(GT, LT) 18.26/6.65 new_esEs4(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Double) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_@0, x2) 18.26/6.65 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs23(x0, x1, ty_Double) 18.26/6.65 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Nothing, x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 18.26/6.65 new_esEs23(x0, x1, ty_Float) 18.26/6.65 new_esEs26(x0, x1, ty_Integer) 18.26/6.65 new_asAs(True, x0) 18.26/6.65 new_esEs26(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Bool, x2) 18.26/6.65 new_primEqNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 18.26/6.65 new_esEs4(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_[], x2)) 18.26/6.65 new_esEs15([], [], x0) 18.26/6.65 new_esEs4(x0, x1, ty_Double) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Int) 18.26/6.65 new_esEs23(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_@0) 18.26/6.65 new_esEs25(x0, x1, ty_@0) 18.26/6.65 new_esEs20(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Float) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 18.26/6.65 new_esEs17(Float(x0, x1), Float(x2, x3)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs8(@0, @0) 18.26/6.65 new_esEs23(x0, x1, ty_Int) 18.26/6.65 new_esEs22(x0, x1, ty_Integer) 18.26/6.65 new_esEs21(x0, x1, ty_Integer) 18.26/6.65 new_primEqNat0(Zero, Zero) 18.26/6.65 new_esEs6(True, True) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Int, x2) 18.26/6.65 new_esEs20(x0, x1, ty_Bool) 18.26/6.65 new_esEs15(:(x0, x1), :(x2, x3), x4) 18.26/6.65 new_esEs19(x0, x1, ty_Integer) 18.26/6.65 new_primPlusNat1(Succ(x0), Zero) 18.26/6.65 new_esEs16(LT, LT) 18.26/6.65 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs20(x0, x1, ty_Float) 18.26/6.65 new_esEs5(Nothing, Just(x0), x1) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs24(x0, x1, ty_Integer) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 18.26/6.65 new_esEs24(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Right(x1), x2, x3) 18.26/6.65 new_esEs10(Right(x0), Left(x1), x2, x3) 18.26/6.65 new_esEs20(x0, x1, ty_Double) 18.26/6.65 new_esEs16(EQ, GT) 18.26/6.65 new_esEs16(GT, EQ) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_primPlusNat1(Succ(x0), Succ(x1)) 18.26/6.65 new_esEs20(x0, x1, ty_Int) 18.26/6.65 new_sr(Pos(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5) 18.26/6.65 new_esEs26(x0, x1, ty_Char) 18.26/6.65 new_esEs15(:(x0, x1), [], x2) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Double, x2) 18.26/6.65 new_esEs26(x0, x1, ty_@0) 18.26/6.65 new_esEs25(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 18.26/6.65 new_esEs26(x0, x1, ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs20(x0, x1, ty_@0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Char, x2) 18.26/6.65 new_esEs16(LT, EQ) 18.26/6.65 new_esEs16(EQ, LT) 18.26/6.65 new_esEs19(x0, x1, ty_Ordering) 18.26/6.65 new_esEs14(Double(x0, x1), Double(x2, x3)) 18.26/6.65 new_primEqNat0(Succ(x0), Zero) 18.26/6.65 new_esEs16(GT, GT) 18.26/6.65 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, ty_Ordering) 18.26/6.65 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (13) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_deleteBy(Nothing, :(Just(xy300), xy31), ba) -> new_deleteBy(Nothing, xy31, ba) 18.26/6.65 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (14) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (15) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_deleteBy(Just(xy400), :(Just(xy300), xy31), ba) -> new_deleteBy0(xy31, xy300, xy400, new_esEs4(xy400, xy300, ba), ba) 18.26/6.65 new_deleteBy0(xy10, xy11, xy12, False, bb) -> new_deleteBy(Just(xy12), xy10, bb) 18.26/6.65 new_deleteBy(Just(xy400), :(Nothing, xy31), ba) -> new_deleteBy(Just(xy400), xy31, ba) 18.26/6.65 18.26/6.65 The TRS R consists of the following rules: 18.26/6.65 18.26/6.65 new_esEs11(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), dc, dd, de) -> new_asAs(new_esEs25(xy4000, xy3000, dc), new_asAs(new_esEs24(xy4001, xy3001, dd), new_esEs23(xy4002, xy3002, de))) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Int, db) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs12(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_[], bdc)) -> new_esEs15(xy4001, xy3001, bdc) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_[], cd)) -> new_esEs15(xy4000, xy3000, cd) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(app(ty_@3, bac), bad), bae)) -> new_esEs11(xy4000, xy3000, bac, bad, bae) 18.26/6.65 new_esEs6(False, True) -> False 18.26/6.65 new_esEs6(True, False) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Int) -> new_esEs13(xy4002, xy3002) 18.26/6.65 new_esEs16(GT, GT) -> True 18.26/6.65 new_esEs13(xy400, xy300) -> new_primEqInt(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_@2, bde), bdf)) -> new_esEs9(xy4000, xy3000, bde, bdf) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_@2, dh), ea)) -> new_esEs9(xy4001, xy3001, dh, ea) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Maybe, eg)) -> new_esEs5(xy4001, xy3001, eg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Ratio, bah)) -> new_esEs18(xy4000, xy3000, bah) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_[], bfg)) -> new_esEs15(xy4000, xy3000, bfg) 18.26/6.65 new_asAs(True, xy26) -> xy26 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_Either, baa), bab)) -> new_esEs10(xy4000, xy3000, baa, bab) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_@2, fb), fc)) -> new_esEs9(xy4000, xy3000, fb, fc) 18.26/6.65 new_esEs14(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Ratio, bcb)) -> new_esEs18(xy4002, xy3002, bcb) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_Either, bfa), bfb)) -> new_esEs10(xy4000, xy3000, bfa, bfb) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Maybe, gb)) -> new_esEs5(xy4000, xy3000, gb) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_@2, bba), bbb)) -> new_esEs9(xy4002, xy3002, bba, bbb) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_[], gc)) -> new_esEs15(xy4000, xy3000, gc) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(app(ty_@3, bfc), bfd), bfe)) -> new_esEs11(xy4000, xy3000, bfc, bfd, bfe) 18.26/6.65 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs10(Left(xy4000), Right(xy3000), da, db) -> False 18.26/6.65 new_esEs10(Right(xy4000), Left(xy3000), da, db) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs16(EQ, GT) -> False 18.26/6.65 new_esEs16(GT, EQ) -> False 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_@0, db) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Char) -> new_esEs12(xy400, xy300) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Zero, Zero) -> Zero 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(app(ty_@3, bbe), bbf), bbg)) -> new_esEs11(xy4002, xy3002, bbe, bbf, bbg) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Char) -> new_esEs12(xy4002, xy3002) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Maybe, bdb)) -> new_esEs5(xy4001, xy3001, bdb) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_Either, bf), bg)) -> new_esEs10(xy4000, xy3000, bf, bg) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs15(:(xy4000, xy4001), [], df) -> False 18.26/6.65 new_esEs15([], :(xy3000, xy3001), df) -> False 18.26/6.65 new_esEs4(xy400, xy300, ty_@0) -> new_esEs8(xy400, xy300) 18.26/6.65 new_esEs8(@0, @0) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(app(app(ty_@3, dc), dd), de)) -> new_esEs11(xy400, xy300, dc, dd, de) 18.26/6.65 new_primEqNat0(Succ(xy40000), Zero) -> False 18.26/6.65 new_primEqNat0(Zero, Succ(xy30000)) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Char, db) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_Either, da), db)) -> new_esEs10(xy400, xy300, da, db) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Maybe, bed)) -> new_esEs5(xy4000, xy3000, bed) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(LT, EQ) -> False 18.26/6.65 new_esEs16(EQ, LT) -> False 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Ratio, hf), db) -> new_esEs18(xy4000, xy3000, hf) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Ratio, ce)) -> new_esEs18(xy4000, xy3000, ce) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Ratio, dg)) -> new_esEs18(xy400, xy300, dg) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_@0) -> new_esEs8(xy4002, xy3002) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_@2, bcc), bcd)) -> new_esEs9(xy4001, xy3001, bcc, bcd) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs11(xy4000, xy3000, bh, ca, cb) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_sr(Pos(xy40000), Neg(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_sr(Neg(xy40000), Pos(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Succ(xy3001000)) -> Succ(Succ(new_primPlusNat1(xy2700, xy3001000))) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(EQ, EQ) -> True 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_Either, gg), gh), db) -> new_esEs10(xy4000, xy3000, gg, gh) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs7(xy400, xy300) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_[], df)) -> new_esEs15(xy400, xy300, df) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ha), hb), hc), db) -> new_esEs11(xy4000, xy3000, ha, hb, hc) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Double) -> new_esEs14(xy4002, xy3002) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 18.26/6.65 new_sr(Neg(xy40000), Neg(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Integer, db) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_@2, beg), beh)) -> new_esEs9(xy4000, xy3000, beg, beh) 18.26/6.65 new_esEs4(xy400, xy300, ty_Double) -> new_esEs14(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_[], bee)) -> new_esEs15(xy4000, xy3000, bee) 18.26/6.65 new_esEs9(@2(xy4000, xy4001), @2(xy3000, xy3001), cf, cg) -> new_asAs(new_esEs20(xy4000, xy3000, cf), new_esEs19(xy4001, xy3001, cg)) 18.26/6.65 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), dg) -> new_asAs(new_esEs22(xy4000, xy3000, dg), new_esEs21(xy4001, xy3001, dg)) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(app(ty_@3, ed), ee), ef)) -> new_esEs11(xy4001, xy3001, ed, ee, ef) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs16(LT, LT) -> True 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Integer) -> new_esEs7(xy4002, xy3002) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_Either, eb), ec)) -> new_esEs10(xy4001, xy3001, eb, ec) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Ratio, gd)) -> new_esEs18(xy4000, xy3000, gd) 18.26/6.65 new_esEs6(True, True) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Double, db) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs5(Nothing, Nothing, bc) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_[], eh)) -> new_esEs15(xy4001, xy3001, eh) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Ratio, bdd)) -> new_esEs18(xy4001, xy3001, bdd) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(app(ty_@3, fg), fh), ga)) -> new_esEs11(xy4000, xy3000, fg, fh, ga) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 18.26/6.65 new_esEs5(Nothing, Just(xy3000), bc) -> False 18.26/6.65 new_esEs5(Just(xy4000), Nothing, bc) -> False 18.26/6.65 new_primPlusNat0(Succ(xy270), xy300100) -> Succ(Succ(new_primPlusNat1(xy270, xy300100))) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Maybe, bff)) -> new_esEs5(xy4000, xy3000, bff) 18.26/6.65 new_esEs6(False, False) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs15([], [], df) -> True 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_Either, fd), ff)) -> new_esEs10(xy4000, xy3000, fd, ff) 18.26/6.65 new_primPlusNat1(Zero, Zero) -> Zero 18.26/6.65 new_primMulNat0(Succ(xy400000), Zero) -> Zero 18.26/6.65 new_primMulNat0(Zero, Succ(xy300100)) -> Zero 18.26/6.65 new_sr(Pos(xy40000), Pos(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_primPlusNat0(Zero, xy300100) -> Succ(xy300100) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_[], bca)) -> new_esEs15(xy4002, xy3002, bca) 18.26/6.65 new_esEs15(:(xy4000, xy4001), :(xy3000, xy3001), df) -> new_asAs(new_esEs26(xy4000, xy3000, df), new_esEs15(xy4001, xy3001, df)) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Maybe, bbh)) -> new_esEs5(xy4002, xy3002, bbh) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Ratio, fa)) -> new_esEs18(xy4001, xy3001, fa) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_Either, bbc), bbd)) -> new_esEs10(xy4002, xy3002, bbc, bbd) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(app(ty_@2, hg), hh)) -> new_esEs9(xy4000, xy3000, hg, hh) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Ratio, bfh)) -> new_esEs18(xy4000, xy3000, bfh) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Succ(xy400000), Succ(xy300100)) -> new_primPlusNat0(new_primMulNat0(xy400000, Succ(xy300100)), xy300100) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Bool, db) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_Either, bce), bcf)) -> new_esEs10(xy4001, xy3001, bce, bcf) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_[], he), db) -> new_esEs15(xy4000, xy3000, he) 18.26/6.65 new_esEs16(LT, GT) -> False 18.26/6.65 new_esEs16(GT, LT) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(app(ty_@3, bcg), bch), bda)) -> new_esEs11(xy4001, xy3001, bcg, bch, bda) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Zero) -> Succ(xy2700) 18.26/6.65 new_primPlusNat1(Zero, Succ(xy3001000)) -> Succ(xy3001000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_Either, bdg), bdh)) -> new_esEs10(xy4000, xy3000, bdg, bdh) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Maybe, bc)) -> new_esEs5(xy400, xy300, bc) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_@2, cf), cg)) -> new_esEs9(xy400, xy300, cf, cg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(app(ty_@3, bea), beb), bec)) -> new_esEs11(xy4000, xy3000, bea, beb, bec) 18.26/6.65 new_primEqNat0(Zero, Zero) -> True 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Float, db) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_@2, bd), be)) -> new_esEs9(xy4000, xy3000, bd, be) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_asAs(False, xy26) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_@2, ge), gf), db) -> new_esEs9(xy4000, xy3000, ge, gf) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_Maybe, baf)) -> new_esEs5(xy4000, xy3000, baf) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Ratio, bef)) -> new_esEs18(xy4000, xy3000, bef) 18.26/6.65 new_esEs4(xy400, xy300, ty_Int) -> new_esEs13(xy400, xy300) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Ordering, db) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, app(ty_[], bag)) -> new_esEs15(xy4000, xy3000, bag) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Maybe, cc)) -> new_esEs5(xy4000, xy3000, cc) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Maybe, hd), db) -> new_esEs5(xy4000, xy3000, hd) 18.26/6.65 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_esEs7(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), da, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 18.26/6.65 The set Q consists of the following terms: 18.26/6.65 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 18.26/6.65 new_esEs13(x0, x1) 18.26/6.65 new_esEs25(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs23(x0, x1, ty_Bool) 18.26/6.65 new_esEs26(x0, x1, ty_Int) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Ordering) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 18.26/6.65 new_esEs25(x0, x1, ty_Int) 18.26/6.65 new_primMulNat0(Zero, Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, ty_Bool) 18.26/6.65 new_primPlusNat1(Zero, Zero) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 18.26/6.65 new_asAs(False, x0) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, ty_Double) 18.26/6.65 new_esEs22(x0, x1, ty_Int) 18.26/6.65 new_esEs4(x0, x1, ty_Integer) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs20(x0, x1, ty_Char) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Integer) 18.26/6.65 new_esEs23(x0, x1, ty_Integer) 18.26/6.65 new_esEs26(x0, x1, ty_Float) 18.26/6.65 new_esEs25(x0, x1, ty_Ordering) 18.26/6.65 new_primPlusNat0(Zero, x0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Float, x2) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_@0) 18.26/6.65 new_esEs19(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs24(x0, x1, ty_Bool) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs4(x0, x1, ty_@0) 18.26/6.65 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs4(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs16(EQ, EQ) 18.26/6.65 new_esEs23(x0, x1, ty_@0) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_[], x2), x3) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs12(Char(x0), Char(x1)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Int) 18.26/6.65 new_sr(Pos(x0), Neg(x1)) 18.26/6.65 new_sr(Neg(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs6(False, True) 18.26/6.65 new_esEs6(True, False) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Integer, x2) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs21(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Char) 18.26/6.65 new_esEs19(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Double) 18.26/6.65 new_esEs19(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, ty_Double) 18.26/6.65 new_esEs6(False, False) 18.26/6.65 new_esEs26(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_@0) 18.26/6.65 new_esEs24(x0, x1, ty_Char) 18.26/6.65 new_esEs25(x0, x1, ty_Bool) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 18.26/6.65 new_esEs20(x0, x1, ty_Integer) 18.26/6.65 new_esEs24(x0, x1, ty_Float) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Ordering, x2) 18.26/6.65 new_esEs23(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_sr(Neg(x0), Neg(x1)) 18.26/6.65 new_esEs26(x0, x1, ty_Ordering) 18.26/6.65 new_esEs26(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primMulNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 18.26/6.65 new_esEs5(Nothing, Nothing, x0) 18.26/6.65 new_esEs23(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Float) 18.26/6.65 new_primMulNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs7(Integer(x0), Integer(x1)) 18.26/6.65 new_esEs24(x0, x1, ty_Int) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 18.26/6.65 new_primPlusNat1(Zero, Succ(x0)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_[], x3)) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 18.26/6.65 new_primEqNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs20(x0, x1, ty_Ordering) 18.26/6.65 new_esEs15([], :(x0, x1), x2) 18.26/6.65 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 18.26/6.65 new_primPlusNat0(Succ(x0), x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Bool) 18.26/6.65 new_esEs23(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Ordering) 18.26/6.65 new_esEs20(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs19(x0, x1, ty_@0) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Bool) 18.26/6.65 new_primMulNat0(Succ(x0), Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Integer) 18.26/6.65 new_esEs16(LT, GT) 18.26/6.65 new_esEs16(GT, LT) 18.26/6.65 new_esEs4(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Double) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_@0, x2) 18.26/6.65 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs23(x0, x1, ty_Double) 18.26/6.65 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs5(Just(x0), Nothing, x1) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 18.26/6.65 new_esEs23(x0, x1, ty_Float) 18.26/6.65 new_esEs26(x0, x1, ty_Integer) 18.26/6.65 new_asAs(True, x0) 18.26/6.65 new_esEs26(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Bool, x2) 18.26/6.65 new_primEqNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 18.26/6.65 new_esEs4(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_[], x2)) 18.26/6.65 new_esEs15([], [], x0) 18.26/6.65 new_esEs4(x0, x1, ty_Double) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Int) 18.26/6.65 new_esEs23(x0, x1, ty_Char) 18.26/6.65 new_esEs4(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_@0) 18.26/6.65 new_esEs25(x0, x1, ty_@0) 18.26/6.65 new_esEs20(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs19(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Int) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Float) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 18.26/6.65 new_esEs17(Float(x0, x1), Float(x2, x3)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs8(@0, @0) 18.26/6.65 new_esEs23(x0, x1, ty_Int) 18.26/6.65 new_esEs22(x0, x1, ty_Integer) 18.26/6.65 new_esEs21(x0, x1, ty_Integer) 18.26/6.65 new_primEqNat0(Zero, Zero) 18.26/6.65 new_esEs6(True, True) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Int, x2) 18.26/6.65 new_esEs20(x0, x1, ty_Bool) 18.26/6.65 new_esEs15(:(x0, x1), :(x2, x3), x4) 18.26/6.65 new_esEs19(x0, x1, ty_Integer) 18.26/6.65 new_primPlusNat1(Succ(x0), Zero) 18.26/6.65 new_esEs16(LT, LT) 18.26/6.65 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs20(x0, x1, ty_Float) 18.26/6.65 new_esEs5(Nothing, Just(x0), x1) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs24(x0, x1, ty_Integer) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 18.26/6.65 new_esEs24(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs10(Left(x0), Right(x1), x2, x3) 18.26/6.65 new_esEs10(Right(x0), Left(x1), x2, x3) 18.26/6.65 new_esEs20(x0, x1, ty_Double) 18.26/6.65 new_esEs16(EQ, GT) 18.26/6.65 new_esEs16(GT, EQ) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_primPlusNat1(Succ(x0), Succ(x1)) 18.26/6.65 new_esEs20(x0, x1, ty_Int) 18.26/6.65 new_sr(Pos(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5) 18.26/6.65 new_esEs26(x0, x1, ty_Char) 18.26/6.65 new_esEs15(:(x0, x1), [], x2) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Double, x2) 18.26/6.65 new_esEs26(x0, x1, ty_@0) 18.26/6.65 new_esEs25(x0, x1, app(ty_[], x2)) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 18.26/6.65 new_esEs26(x0, x1, ty_Double) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs20(x0, x1, ty_@0) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Char, x2) 18.26/6.65 new_esEs16(LT, EQ) 18.26/6.65 new_esEs16(EQ, LT) 18.26/6.65 new_esEs19(x0, x1, ty_Ordering) 18.26/6.65 new_esEs14(Double(x0, x1), Double(x2, x3)) 18.26/6.65 new_primEqNat0(Succ(x0), Zero) 18.26/6.65 new_esEs16(GT, GT) 18.26/6.65 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, ty_Ordering) 18.26/6.65 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (16) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_deleteBy0(xy10, xy11, xy12, False, bb) -> new_deleteBy(Just(xy12), xy10, bb) 18.26/6.65 The graph contains the following edges 1 >= 2, 5 >= 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_deleteBy(Just(xy400), :(Nothing, xy31), ba) -> new_deleteBy(Just(xy400), xy31, ba) 18.26/6.65 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_deleteBy(Just(xy400), :(Just(xy300), xy31), ba) -> new_deleteBy0(xy31, xy300, xy400, new_esEs4(xy400, xy300, ba), ba) 18.26/6.65 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 3 >= 5 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (17) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (18) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) 18.26/6.65 18.26/6.65 The TRS R consists of the following rules: 18.26/6.65 18.26/6.65 new_esEs11(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), bad, bae, baf) -> new_asAs(new_esEs25(xy4000, xy3000, bad), new_asAs(new_esEs24(xy4001, xy3001, bae), new_esEs23(xy4002, xy3002, baf))) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Int, ff) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs12(Char(xy4000), Char(xy3000)) -> new_primEqNat0(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_[], bda)) -> new_esEs15(xy4001, xy3001, bda) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_[], cc)) -> new_esEs15(xy4000, xy3000, cc) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(app(app(ty_@3, hf), hg), hh)) -> new_esEs11(xy4000, xy3000, hf, hg, hh) 18.26/6.65 new_esEs6(False, True) -> False 18.26/6.65 new_esEs6(True, False) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Int) -> new_esEs13(xy4002, xy3002) 18.26/6.65 new_esEs16(GT, GT) -> True 18.26/6.65 new_esEs13(xy400, xy300) -> new_primEqInt(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_@2, bdc), bdd)) -> new_esEs9(xy4000, xy3000, bdc, bdd) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_@2, cg), da)) -> new_esEs9(xy4001, xy3001, cg, da) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Maybe, dg)) -> new_esEs5(xy4001, xy3001, dg) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(ty_Ratio, bac)) -> new_esEs18(xy4000, xy3000, bac) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_[], bff)) -> new_esEs15(xy4000, xy3000, bff) 18.26/6.65 new_asAs(True, xy26) -> xy26 18.26/6.65 new_deleteBy1(Just(xy400), :(Nothing, xy31), ba) -> :(Nothing, new_deleteBy1(Just(xy400), xy31, ba)) 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(app(ty_Either, hd), he)) -> new_esEs10(xy4000, xy3000, hd, he) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_@2, eb), ec)) -> new_esEs9(xy4000, xy3000, eb, ec) 18.26/6.65 new_esEs14(Double(xy4000, xy4001), Double(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Zero)) -> False 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Ratio, bbh)) -> new_esEs18(xy4002, xy3002, bbh) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_Either, beh), bfa)) -> new_esEs10(xy4000, xy3000, beh, bfa) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Maybe, fa)) -> new_esEs5(xy4000, xy3000, fa) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_@2, bag), bah)) -> new_esEs9(xy4002, xy3002, bag, bah) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_[], fb)) -> new_esEs15(xy4000, xy3000, fb) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs11(xy4000, xy3000, bfb, bfc, bfd) 18.26/6.65 new_primEqNat0(Succ(xy40000), Succ(xy30000)) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs10(Left(xy4000), Right(xy3000), ha, ff) -> False 18.26/6.65 new_esEs10(Right(xy4000), Left(xy3000), ha, ff) -> False 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_deleteBy1(xy40, [], ba) -> [] 18.26/6.65 new_esEs16(EQ, GT) -> False 18.26/6.65 new_esEs16(GT, EQ) -> False 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_@0, ff) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_deleteBy1(Just(xy400), :(Just(xy300), xy31), ba) -> new_deleteBy00(xy31, xy300, xy400, new_esEs4(xy400, xy300, ba), ba) 18.26/6.65 new_esEs4(xy400, xy300, ty_Char) -> new_esEs12(xy400, xy300) 18.26/6.65 new_primMulNat0(Zero, Zero) -> Zero 18.26/6.65 new_deleteBy1(Nothing, :(Just(xy300), xy31), ba) -> :(Just(xy300), new_deleteBy1(Nothing, xy31, ba)) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs11(xy4002, xy3002, bbc, bbd, bbe) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Char) -> new_esEs12(xy4002, xy3002) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Maybe, bch)) -> new_esEs5(xy4001, xy3001, bch) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_Either, be), bf)) -> new_esEs10(xy4000, xy3000, be, bf) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs15(:(xy4000, xy4001), [], bee) -> False 18.26/6.65 new_esEs15([], :(xy3000, xy3001), bee) -> False 18.26/6.65 new_esEs4(xy400, xy300, ty_@0) -> new_esEs8(xy400, xy300) 18.26/6.65 new_esEs8(@0, @0) -> True 18.26/6.65 new_primEqNat0(Succ(xy40000), Zero) -> False 18.26/6.65 new_primEqNat0(Zero, Succ(xy30000)) -> False 18.26/6.65 new_esEs4(xy400, xy300, app(app(app(ty_@3, bad), bae), baf)) -> new_esEs11(xy400, xy300, bad, bae, baf) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Double) -> new_esEs14(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Char, ff) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Bool) -> new_esEs6(xy4001, xy3001) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_Either, ha), ff)) -> new_esEs10(xy400, xy300, ha, ff) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Maybe, beb)) -> new_esEs5(xy4000, xy3000, beb) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(LT, EQ) -> False 18.26/6.65 new_esEs16(EQ, LT) -> False 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Ratio, gh), ff) -> new_esEs18(xy4000, xy3000, gh) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Ratio, cd)) -> new_esEs18(xy4000, xy3000, cd) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Ratio, fd)) -> new_esEs18(xy400, xy300, fd) 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_@0) -> new_esEs8(xy4002, xy3002) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Zero)) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Pos(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Float) -> new_esEs17(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_@2, bca), bcb)) -> new_esEs9(xy4001, xy3001, bca, bcb) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs11(xy4000, xy3000, bg, bh, ca) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_sr(Pos(xy40000), Neg(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_sr(Neg(xy40000), Pos(xy30010)) -> Neg(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Succ(xy3001000)) -> Succ(Succ(new_primPlusNat1(xy2700, xy3001000))) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Succ(xy40000)), Neg(xy3000)) -> False 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Pos(xy3000)) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs16(EQ, EQ) -> True 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Ordering) -> new_esEs16(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_Either, ga), gb), ff) -> new_esEs10(xy4000, xy3000, ga, gb) 18.26/6.65 new_esEs21(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Integer) -> new_esEs7(xy400, xy300) 18.26/6.65 new_esEs4(xy400, xy300, app(ty_[], bee)) -> new_esEs15(xy400, xy300, bee) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(app(ty_@3, gc), gd), ge), ff) -> new_esEs11(xy4000, xy3000, gc, gd, ge) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Double) -> new_esEs14(xy4002, xy3002) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Float) -> new_esEs17(xy4002, xy3002) 18.26/6.65 new_esEs4(xy400, xy300, ty_Float) -> new_esEs17(xy400, xy300) 18.26/6.65 new_sr(Neg(xy40000), Neg(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Integer, ff) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(app(ty_@2, bef), beg)) -> new_esEs9(xy4000, xy3000, bef, beg) 18.26/6.65 new_esEs4(xy400, xy300, ty_Double) -> new_esEs14(xy400, xy300) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_[], bec)) -> new_esEs15(xy4000, xy3000, bec) 18.26/6.65 new_esEs9(@2(xy4000, xy4001), @2(xy3000, xy3001), ce, cf) -> new_asAs(new_esEs20(xy4000, xy3000, ce), new_esEs19(xy4001, xy3001, cf)) 18.26/6.65 new_esEs18(:%(xy4000, xy4001), :%(xy3000, xy3001), fd) -> new_asAs(new_esEs22(xy4000, xy3000, fd), new_esEs21(xy4001, xy3001, fd)) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(app(ty_@3, dd), de), df)) -> new_esEs11(xy4001, xy3001, dd, de, df) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Int) -> new_esEs13(xy4001, xy3001) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(xy30000))) -> False 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(xy30000))) -> False 18.26/6.65 new_esEs16(LT, LT) -> True 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Integer) -> new_esEs7(xy4002, xy3002) 18.26/6.65 new_esEs19(xy4001, xy3001, app(app(ty_Either, db), dc)) -> new_esEs10(xy4001, xy3001, db, dc) 18.26/6.65 new_esEs20(xy4000, xy3000, app(ty_Ratio, fc)) -> new_esEs18(xy4000, xy3000, fc) 18.26/6.65 new_esEs6(True, True) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Integer) -> new_esEs7(xy4001, xy3001) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Double, ff) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs5(Nothing, Nothing, bb) -> True 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_[], dh)) -> new_esEs15(xy4001, xy3001, dh) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(ty_Ratio, bdb)) -> new_esEs18(xy4001, xy3001, bdb) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs11(xy4000, xy3000, ef, eg, eh) 18.26/6.65 new_primEqInt(Neg(Succ(xy40000)), Neg(Succ(xy30000))) -> new_primEqNat0(xy40000, xy30000) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Bool) -> new_esEs6(xy4002, xy3002) 18.26/6.65 new_esEs5(Nothing, Just(xy3000), bb) -> False 18.26/6.65 new_esEs5(Just(xy4000), Nothing, bb) -> False 18.26/6.65 new_primPlusNat0(Succ(xy270), xy300100) -> Succ(Succ(new_primPlusNat1(xy270, xy300100))) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Maybe, bfe)) -> new_esEs5(xy4000, xy3000, bfe) 18.26/6.65 new_esEs6(False, False) -> True 18.26/6.65 new_deleteBy00(xy10, xy11, xy12, False, bfh) -> :(Just(xy11), new_deleteBy1(Just(xy12), xy10, bfh)) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs15([], [], bee) -> True 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Integer) -> new_esEs7(xy4000, xy3000) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs20(xy4000, xy3000, app(app(ty_Either, ed), ee)) -> new_esEs10(xy4000, xy3000, ed, ee) 18.26/6.65 new_primPlusNat1(Zero, Zero) -> Zero 18.26/6.65 new_primMulNat0(Succ(xy400000), Zero) -> Zero 18.26/6.65 new_primMulNat0(Zero, Succ(xy300100)) -> Zero 18.26/6.65 new_sr(Pos(xy40000), Pos(xy30010)) -> Pos(new_primMulNat0(xy40000, xy30010)) 18.26/6.65 new_primPlusNat0(Zero, xy300100) -> Succ(xy300100) 18.26/6.65 new_esEs24(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_[], bbg)) -> new_esEs15(xy4002, xy3002, bbg) 18.26/6.65 new_esEs15(:(xy4000, xy4001), :(xy3000, xy3001), bee) -> new_asAs(new_esEs26(xy4000, xy3000, bee), new_esEs15(xy4001, xy3001, bee)) 18.26/6.65 new_esEs23(xy4002, xy3002, app(ty_Maybe, bbf)) -> new_esEs5(xy4002, xy3002, bbf) 18.26/6.65 new_esEs19(xy4001, xy3001, app(ty_Ratio, ea)) -> new_esEs18(xy4001, xy3001, ea) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs23(xy4002, xy3002, app(app(ty_Either, bba), bbb)) -> new_esEs10(xy4002, xy3002, bba, bbb) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(app(ty_@2, hb), hc)) -> new_esEs9(xy4000, xy3000, hb, hc) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 18.26/6.65 new_esEs26(xy4000, xy3000, app(ty_Ratio, bfg)) -> new_esEs18(xy4000, xy3000, bfg) 18.26/6.65 new_esEs26(xy4000, xy3000, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_primMulNat0(Succ(xy400000), Succ(xy300100)) -> new_primPlusNat0(new_primMulNat0(xy400000, Succ(xy300100)), xy300100) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Bool, ff) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(ty_Either, bcc), bcd)) -> new_esEs10(xy4001, xy3001, bcc, bcd) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_[], gg), ff) -> new_esEs15(xy4000, xy3000, gg) 18.26/6.65 new_esEs16(LT, GT) -> False 18.26/6.65 new_esEs16(GT, LT) -> False 18.26/6.65 new_esEs19(xy4001, xy3001, ty_@0) -> new_esEs8(xy4001, xy3001) 18.26/6.65 new_esEs24(xy4001, xy3001, app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs11(xy4001, xy3001, bce, bcf, bcg) 18.26/6.65 new_esEs23(xy4002, xy3002, ty_Ordering) -> new_esEs16(xy4002, xy3002) 18.26/6.65 new_deleteBy00(xy10, xy11, xy12, True, bfh) -> xy10 18.26/6.65 new_esEs26(xy4000, xy3000, ty_@0) -> new_esEs8(xy4000, xy3000) 18.26/6.65 new_primPlusNat1(Succ(xy2700), Zero) -> Succ(xy2700) 18.26/6.65 new_primPlusNat1(Zero, Succ(xy3001000)) -> Succ(xy3001000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(ty_Either, bde), bdf)) -> new_esEs10(xy4000, xy3000, bde, bdf) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Double) -> new_esEs14(xy4000, xy3000) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 18.26/6.65 new_esEs4(xy400, xy300, app(ty_Maybe, bb)) -> new_esEs5(xy400, xy300, bb) 18.26/6.65 new_esEs4(xy400, xy300, app(app(ty_@2, ce), cf)) -> new_esEs9(xy400, xy300, ce, cf) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Ordering) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs11(xy4000, xy3000, bdg, bdh, bea) 18.26/6.65 new_deleteBy1(Nothing, :(Nothing, xy31), ba) -> xy31 18.26/6.65 new_primEqNat0(Zero, Zero) -> True 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Float, ff) -> new_esEs17(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(app(ty_@2, bc), bd)) -> new_esEs9(xy4000, xy3000, bc, bd) 18.26/6.65 new_esEs19(xy4001, xy3001, ty_Char) -> new_esEs12(xy4001, xy3001) 18.26/6.65 new_esEs22(xy4000, xy3000, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Bool) -> new_esEs6(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Int) -> new_esEs13(xy4000, xy3000) 18.26/6.65 new_esEs25(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_asAs(False, xy26) -> False 18.26/6.65 new_esEs20(xy4000, xy3000, ty_Char) -> new_esEs12(xy4000, xy3000) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(app(ty_@2, fg), fh), ff) -> new_esEs9(xy4000, xy3000, fg, fh) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(ty_Maybe, baa)) -> new_esEs5(xy4000, xy3000, baa) 18.26/6.65 new_esEs25(xy4000, xy3000, app(ty_Ratio, bed)) -> new_esEs18(xy4000, xy3000, bed) 18.26/6.65 new_esEs4(xy400, xy300, ty_Int) -> new_esEs13(xy400, xy300) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), ty_Ordering, ff) -> new_esEs16(xy4000, xy3000) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, app(ty_[], bab)) -> new_esEs15(xy4000, xy3000, bab) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), app(ty_Maybe, cb)) -> new_esEs5(xy4000, xy3000, cb) 18.26/6.65 new_esEs10(Left(xy4000), Left(xy3000), app(ty_Maybe, gf), ff) -> new_esEs5(xy4000, xy3000, gf) 18.26/6.65 new_esEs17(Float(xy4000, xy4001), Float(xy3000, xy3001)) -> new_esEs13(new_sr(xy4000, xy3001), new_sr(xy4001, xy3000)) 18.26/6.65 new_esEs7(Integer(xy4000), Integer(xy3000)) -> new_primEqInt(xy4000, xy3000) 18.26/6.65 new_esEs5(Just(xy4000), Just(xy3000), ty_Bool) -> new_esEs6(xy4000, xy3000) 18.26/6.65 new_esEs4(xy400, xy300, ty_Ordering) -> new_esEs16(xy400, xy300) 18.26/6.65 new_esEs10(Right(xy4000), Right(xy3000), ha, ty_Float) -> new_esEs17(xy4000, xy3000) 18.26/6.65 18.26/6.65 The set Q consists of the following terms: 18.26/6.65 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 18.26/6.65 new_esEs13(x0, x1) 18.26/6.65 new_esEs24(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_deleteBy00(x0, x1, x2, True, x3) 18.26/6.65 new_esEs23(x0, x1, ty_Bool) 18.26/6.65 new_esEs26(x0, x1, ty_Int) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Double) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_[], x3)) 18.26/6.65 new_deleteBy1(Just(x0), :(Nothing, x1), x2) 18.26/6.65 new_esEs5(Nothing, Nothing, x0) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Ordering) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 18.26/6.65 new_esEs25(x0, x1, ty_Int) 18.26/6.65 new_esEs15([], :(x0, x1), x2) 18.26/6.65 new_esEs18(:%(x0, x1), :%(x2, x3), x4) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 18.26/6.65 new_primMulNat0(Zero, Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Char) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 18.26/6.65 new_esEs4(x0, x1, ty_Bool) 18.26/6.65 new_primPlusNat1(Zero, Zero) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Int) 18.26/6.65 new_esEs26(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Char) 18.26/6.65 new_asAs(False, x0) 18.26/6.65 new_esEs19(x0, x1, ty_Double) 18.26/6.65 new_esEs22(x0, x1, ty_Int) 18.26/6.65 new_esEs23(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs4(x0, x1, ty_Integer) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Float) 18.26/6.65 new_esEs20(x0, x1, ty_Char) 18.26/6.65 new_esEs23(x0, x1, ty_Integer) 18.26/6.65 new_esEs5(Just(x0), Nothing, x1) 18.26/6.65 new_esEs26(x0, x1, ty_Float) 18.26/6.65 new_esEs25(x0, x1, ty_Ordering) 18.26/6.65 new_primPlusNat0(Zero, x0) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Zero)) 18.26/6.65 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs19(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs25(x0, x1, ty_Float) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Maybe, x2)) 18.26/6.65 new_esEs24(x0, x1, ty_Bool) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_Ratio, x2)) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs4(x0, x1, ty_@0) 18.26/6.65 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs16(EQ, EQ) 18.26/6.65 new_esEs26(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs23(x0, x1, ty_@0) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Zero)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Bool, x2) 18.26/6.65 new_esEs12(Char(x0), Char(x1)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Int) 18.26/6.65 new_esEs19(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_sr(Pos(x0), Neg(x1)) 18.26/6.65 new_sr(Neg(x0), Pos(x1)) 18.26/6.65 new_esEs6(False, True) 18.26/6.65 new_esEs6(True, False) 18.26/6.65 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs21(x0, x1, ty_Int) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Char) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 18.26/6.65 new_esEs19(x0, x1, ty_Int) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs25(x0, x1, ty_Double) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Char, x2) 18.26/6.65 new_esEs19(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, ty_Double) 18.26/6.65 new_esEs6(False, False) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_[], x2), x3) 18.26/6.65 new_esEs24(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Integer) 18.26/6.65 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs24(x0, x1, ty_@0) 18.26/6.65 new_esEs24(x0, x1, ty_Char) 18.26/6.65 new_esEs25(x0, x1, ty_Bool) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Zero)) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Zero)) 18.26/6.65 new_esEs20(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs20(x0, x1, ty_Integer) 18.26/6.65 new_esEs4(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs24(x0, x1, ty_Float) 18.26/6.65 new_esEs5(Nothing, Just(x0), x1) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Ordering) 18.26/6.65 new_sr(Neg(x0), Neg(x1)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Int, x2) 18.26/6.65 new_esEs26(x0, x1, ty_Ordering) 18.26/6.65 new_primMulNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 18.26/6.65 new_deleteBy1(Nothing, :(Nothing, x0), x1) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Float, x2) 18.26/6.65 new_esEs19(x0, x1, ty_Float) 18.26/6.65 new_primMulNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs26(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs19(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs7(Integer(x0), Integer(x1)) 18.26/6.65 new_esEs24(x0, x1, ty_Int) 18.26/6.65 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 18.26/6.65 new_primPlusNat1(Zero, Succ(x0)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_@0, x2) 18.26/6.65 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 18.26/6.65 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 18.26/6.65 new_primEqNat0(Zero, Succ(x0)) 18.26/6.65 new_esEs20(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Left(x0), Right(x1), x2, x3) 18.26/6.65 new_esEs10(Right(x0), Left(x1), x2, x3) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 18.26/6.65 new_esEs25(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 18.26/6.65 new_primPlusNat0(Succ(x0), x1) 18.26/6.65 new_esEs23(x0, x1, ty_Ordering) 18.26/6.65 new_deleteBy00(x0, x1, x2, False, x3) 18.26/6.65 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Integer) 18.26/6.65 new_esEs19(x0, x1, ty_@0) 18.26/6.65 new_esEs15(:(x0, x1), [], x2) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_Bool) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Ordering, x2) 18.26/6.65 new_primMulNat0(Succ(x0), Zero) 18.26/6.65 new_esEs25(x0, x1, ty_Integer) 18.26/6.65 new_esEs16(LT, GT) 18.26/6.65 new_esEs16(GT, LT) 18.26/6.65 new_esEs4(x0, x1, ty_Ordering) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Double, x2) 18.26/6.65 new_esEs23(x0, x1, ty_Double) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs20(x0, x1, app(ty_[], x2)) 18.26/6.65 new_deleteBy1(Nothing, :(Just(x0), x1), x2) 18.26/6.65 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs23(x0, x1, ty_Float) 18.26/6.65 new_esEs26(x0, x1, ty_Integer) 18.26/6.65 new_asAs(True, x0) 18.26/6.65 new_esEs26(x0, x1, ty_Bool) 18.26/6.65 new_esEs4(x0, x1, ty_Float) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 18.26/6.65 new_primEqNat0(Succ(x0), Succ(x1)) 18.26/6.65 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 18.26/6.65 new_esEs4(x0, x1, ty_Char) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs11(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 18.26/6.65 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs24(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs20(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs4(x0, x1, ty_Double) 18.26/6.65 new_esEs23(x0, x1, app(ty_[], x2)) 18.26/6.65 new_esEs25(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs23(x0, x1, ty_Char) 18.26/6.65 new_esEs5(Just(x0), Just(x1), ty_@0) 18.26/6.65 new_esEs25(x0, x1, ty_@0) 18.26/6.65 new_esEs19(x0, x1, ty_Bool) 18.26/6.65 new_esEs25(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs15(:(x0, x1), :(x2, x3), x4) 18.26/6.65 new_esEs4(x0, x1, ty_Int) 18.26/6.65 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 18.26/6.65 new_esEs17(Float(x0, x1), Float(x2, x3)) 18.26/6.65 new_esEs8(@0, @0) 18.26/6.65 new_esEs23(x0, x1, ty_Int) 18.26/6.65 new_esEs22(x0, x1, ty_Integer) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Bool) 18.26/6.65 new_esEs21(x0, x1, ty_Integer) 18.26/6.65 new_primEqNat0(Zero, Zero) 18.26/6.65 new_esEs6(True, True) 18.26/6.65 new_esEs23(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs20(x0, x1, ty_Bool) 18.26/6.65 new_esEs19(x0, x1, ty_Integer) 18.26/6.65 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_primPlusNat1(Succ(x0), Zero) 18.26/6.65 new_esEs16(LT, LT) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_@0) 18.26/6.65 new_esEs20(x0, x1, ty_Float) 18.26/6.65 new_esEs24(x0, x1, ty_Integer) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Double) 18.26/6.65 new_esEs9(@2(x0, x1), @2(x2, x3), x4, x5) 18.26/6.65 new_esEs20(x0, x1, ty_Double) 18.26/6.65 new_esEs16(EQ, GT) 18.26/6.65 new_esEs16(GT, EQ) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 18.26/6.65 new_primPlusNat1(Succ(x0), Succ(x1)) 18.26/6.65 new_deleteBy1(x0, [], x1) 18.26/6.65 new_esEs20(x0, x1, ty_Int) 18.26/6.65 new_sr(Pos(x0), Pos(x1)) 18.26/6.65 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), ty_Integer, x2) 18.26/6.65 new_esEs26(x0, x1, ty_Char) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 18.26/6.65 new_esEs26(x0, x1, ty_@0) 18.26/6.65 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 18.26/6.65 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 18.26/6.65 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs26(x0, x1, ty_Double) 18.26/6.65 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, ty_Float) 18.26/6.65 new_esEs20(x0, x1, ty_@0) 18.26/6.65 new_esEs4(x0, x1, app(ty_Ratio, x2)) 18.26/6.65 new_esEs15([], [], x0) 18.26/6.65 new_deleteBy1(Just(x0), :(Just(x1), x2), x3) 18.26/6.65 new_esEs16(LT, EQ) 18.26/6.65 new_esEs16(EQ, LT) 18.26/6.65 new_esEs19(x0, x1, ty_Ordering) 18.26/6.65 new_esEs14(Double(x0, x1), Double(x2, x3)) 18.26/6.65 new_esEs10(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 18.26/6.65 new_primEqNat0(Succ(x0), Zero) 18.26/6.65 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 18.26/6.65 new_esEs16(GT, GT) 18.26/6.65 new_esEs24(x0, x1, ty_Ordering) 18.26/6.65 new_esEs4(x0, x1, app(ty_Maybe, x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(ty_[], x2)) 18.26/6.65 new_esEs5(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 18.26/6.65 new_esEs10(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 18.26/6.65 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (19) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_foldl(xy3, :(xy40, xy41), ba) -> new_foldl(new_deleteBy1(xy40, xy3, ba), xy41, ba) 18.26/6.65 The graph contains the following edges 2 > 2, 3 >= 3 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (20) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (21) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_primMulNat(Succ(xy400000), Succ(xy300100)) -> new_primMulNat(xy400000, Succ(xy300100)) 18.26/6.65 18.26/6.65 R is empty. 18.26/6.65 Q is empty. 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (22) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_primMulNat(Succ(xy400000), Succ(xy300100)) -> new_primMulNat(xy400000, Succ(xy300100)) 18.26/6.65 The graph contains the following edges 1 > 1, 2 >= 2 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (23) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (24) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(ty_Either, gg), gh)) -> new_esEs0(xy4002, xy3002, gg, gh) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_Either, baa), bab), hh) -> new_esEs0(xy4001, xy3001, baa, bab) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, bbb), bbc), gd, hh) -> new_esEs0(xy4000, xy3000, bbb, bbc) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_[], bag), hh) -> new_esEs3(xy4001, xy3001, bag) 18.26/6.65 new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy4000, xy3000, bca, bcb) 18.26/6.65 new_esEs0(Left(xy4000), Left(xy3000), app(ty_Maybe, ef), dh) -> new_esEs2(xy4000, xy3000, ef) 18.26/6.65 new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_[], gb)) -> new_esEs3(xy4000, xy3000, gb) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, cc), cd), ce) -> new_esEs(xy4000, xy3000, cc, cd) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_Maybe, beb)) -> new_esEs2(xy4000, xy3000, beb) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(ty_[], cb)) -> new_esEs3(xy4001, xy3001, cb) 18.26/6.65 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_Either, fc), fd)) -> new_esEs0(xy4000, xy3000, fc, fd) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, bbd), bbe), bbf), gd, hh) -> new_esEs1(xy4000, xy3000, bbd, bbe, bbf) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], bbh), gd, hh) -> new_esEs3(xy4000, xy3000, bbh) 18.26/6.65 new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_@2, df), dg), dh) -> new_esEs(xy4000, xy3000, df, dg) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(ty_Maybe, ca)) -> new_esEs2(xy4001, xy3001, ca) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_[], bec)) -> new_esEs3(xy4000, xy3000, bec) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, da), db), dc), ce) -> new_esEs1(xy4000, xy3000, da, db, dc) 18.26/6.65 new_esEs2(Just(xy4000), Just(xy3000), app(ty_Maybe, bch)) -> new_esEs2(xy4000, xy3000, bch) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, dd), ce) -> new_esEs2(xy4000, xy3000, dd) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_@2, hf), hg), hh) -> new_esEs(xy4001, xy3001, hf, hg) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(ty_@2, ge), gf)) -> new_esEs(xy4002, xy3002, ge, gf) 18.26/6.65 new_esEs2(Just(xy4000), Just(xy3000), app(ty_[], bda)) -> new_esEs3(xy4000, xy3000, bda) 18.26/6.65 new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_Maybe, ga)) -> new_esEs2(xy4000, xy3000, ga) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(ty_@2, bb), bc)) -> new_esEs(xy4001, xy3001, bb, bc) 18.26/6.65 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_@2, fa), fb)) -> new_esEs(xy4000, xy3000, fa, fb) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs1(xy4001, xy3001, bf, bg, bh) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, bbg), gd, hh) -> new_esEs2(xy4000, xy3000, bbg) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_@2, bdc), bdd)) -> new_esEs(xy4000, xy3000, bdc, bdd) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs1(xy4000, xy3000, bdg, bdh, bea) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, cf), cg), ce) -> new_esEs0(xy4000, xy3000, cf, cg) 18.26/6.65 new_esEs0(Left(xy4000), Left(xy3000), app(ty_[], eg), dh) -> new_esEs3(xy4000, xy3000, eg) 18.26/6.65 new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_Either, ea), eb), dh) -> new_esEs0(xy4000, xy3000, ea, eb) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(ty_Either, bd), be)) -> new_esEs0(xy4001, xy3001, bd, be) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), bdb) -> new_esEs3(xy4001, xy3001, bdb) 18.26/6.65 new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_Either, bcc), bcd)) -> new_esEs0(xy4000, xy3000, bcc, bcd) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs1(xy4002, xy3002, ha, hb, hc) 18.26/6.65 new_esEs2(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs1(xy4000, xy3000, bce, bcf, bcg) 18.26/6.65 new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], de), ce) -> new_esEs3(xy4000, xy3000, de) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, bah), bba), gd, hh) -> new_esEs(xy4000, xy3000, bah, bba) 18.26/6.65 new_esEs0(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ec), ed), ee), dh) -> new_esEs1(xy4000, xy3000, ec, ed, ee) 18.26/6.65 new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs1(xy4000, xy3000, ff, fg, fh) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(ty_[], he)) -> new_esEs3(xy4002, xy3002, he) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(ty_Maybe, hd)) -> new_esEs2(xy4002, xy3002, hd) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(app(ty_@3, bac), bad), bae), hh) -> new_esEs1(xy4001, xy3001, bac, bad, bae) 18.26/6.65 new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_Either, bde), bdf)) -> new_esEs0(xy4000, xy3000, bde, bdf) 18.26/6.65 new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_Maybe, baf), hh) -> new_esEs2(xy4001, xy3001, baf) 18.26/6.65 18.26/6.65 R is empty. 18.26/6.65 Q is empty. 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (25) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(app(ty_@3, bdg), bdh), bea)) -> new_esEs1(xy4000, xy3000, bdg, bdh, bea) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_Maybe, beb)) -> new_esEs2(xy4000, xy3000, beb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs2(Just(xy4000), Just(xy3000), app(app(app(ty_@3, bce), bcf), bcg)) -> new_esEs1(xy4000, xy3000, bce, bcf, bcg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_Either, bde), bdf)) -> new_esEs0(xy4000, xy3000, bde, bdf) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs2(Just(xy4000), Just(xy3000), app(ty_Maybe, bch)) -> new_esEs2(xy4000, xy3000, bch) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_Either, bcc), bcd)) -> new_esEs0(xy4000, xy3000, bcc, bcd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(app(ty_@2, bdc), bdd)) -> new_esEs(xy4000, xy3000, bdc, bdd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs2(Just(xy4000), Just(xy3000), app(app(ty_@2, bca), bcb)) -> new_esEs(xy4000, xy3000, bca, bcb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs2(Just(xy4000), Just(xy3000), app(ty_[], bda)) -> new_esEs3(xy4000, xy3000, bda) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Left(xy4000), Left(xy3000), app(app(app(ty_@3, ec), ed), ee), dh) -> new_esEs1(xy4000, xy3000, ec, ed, ee) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(app(ty_@3, ff), fg), fh)) -> new_esEs1(xy4000, xy3000, ff, fg, fh) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Left(xy4000), Left(xy3000), app(ty_Maybe, ef), dh) -> new_esEs2(xy4000, xy3000, ef) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_Maybe, ga)) -> new_esEs2(xy4000, xy3000, ga) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_Either, fc), fd)) -> new_esEs0(xy4000, xy3000, fc, fd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_Either, ea), eb), dh) -> new_esEs0(xy4000, xy3000, ea, eb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Left(xy4000), Left(xy3000), app(app(ty_@2, df), dg), dh) -> new_esEs(xy4000, xy3000, df, dg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(app(ty_@2, fa), fb)) -> new_esEs(xy4000, xy3000, fa, fb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Right(xy4000), Right(xy3000), eh, app(ty_[], gb)) -> new_esEs3(xy4000, xy3000, gb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs0(Left(xy4000), Left(xy3000), app(ty_[], eg), dh) -> new_esEs3(xy4000, xy3000, eg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(app(ty_@3, da), db), dc), ce) -> new_esEs1(xy4000, xy3000, da, db, dc) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs1(xy4001, xy3001, bf, bg, bh) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(app(ty_@3, bbd), bbe), bbf), gd, hh) -> new_esEs1(xy4000, xy3000, bbd, bbe, bbf) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(app(ty_@3, ha), hb), hc)) -> new_esEs1(xy4002, xy3002, ha, hb, hc) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(app(ty_@3, bac), bad), bae), hh) -> new_esEs1(xy4001, xy3001, bac, bad, bae) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), app(ty_[], bec)) -> new_esEs3(xy4000, xy3000, bec) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs3(:(xy4000, xy4001), :(xy3000, xy3001), bdb) -> new_esEs3(xy4001, xy3001, bdb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(ty_Maybe, ca)) -> new_esEs2(xy4001, xy3001, ca) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_Maybe, dd), ce) -> new_esEs2(xy4000, xy3000, dd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_Either, cf), cg), ce) -> new_esEs0(xy4000, xy3000, cf, cg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(ty_Either, bd), be)) -> new_esEs0(xy4001, xy3001, bd, be) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(app(ty_@2, cc), cd), ce) -> new_esEs(xy4000, xy3000, cc, cd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(app(ty_@2, bb), bc)) -> new_esEs(xy4001, xy3001, bb, bc) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), ba, app(ty_[], cb)) -> new_esEs3(xy4001, xy3001, cb) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs(@2(xy4000, xy4001), @2(xy3000, xy3001), app(ty_[], de), ce) -> new_esEs3(xy4000, xy3000, de) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_Maybe, bbg), gd, hh) -> new_esEs2(xy4000, xy3000, bbg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(ty_Maybe, hd)) -> new_esEs2(xy4002, xy3002, hd) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_Maybe, baf), hh) -> new_esEs2(xy4001, xy3001, baf) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(ty_Either, gg), gh)) -> new_esEs0(xy4002, xy3002, gg, gh) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_Either, baa), bab), hh) -> new_esEs0(xy4001, xy3001, baa, bab) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_Either, bbb), bbc), gd, hh) -> new_esEs0(xy4000, xy3000, bbb, bbc) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(app(ty_@2, hf), hg), hh) -> new_esEs(xy4001, xy3001, hf, hg) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(app(ty_@2, ge), gf)) -> new_esEs(xy4002, xy3002, ge, gf) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(app(ty_@2, bah), bba), gd, hh) -> new_esEs(xy4000, xy3000, bah, bba) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, app(ty_[], bag), hh) -> new_esEs3(xy4001, xy3001, bag) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), app(ty_[], bbh), gd, hh) -> new_esEs3(xy4000, xy3000, bbh) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 18.26/6.65 18.26/6.65 18.26/6.65 *new_esEs1(@3(xy4000, xy4001, xy4002), @3(xy3000, xy3001, xy3002), gc, gd, app(ty_[], he)) -> new_esEs3(xy4002, xy3002, he) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (26) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (27) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_primPlusNat(Succ(xy2700), Succ(xy3001000)) -> new_primPlusNat(xy2700, xy3001000) 18.26/6.65 18.26/6.65 R is empty. 18.26/6.65 Q is empty. 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (28) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_primPlusNat(Succ(xy2700), Succ(xy3001000)) -> new_primPlusNat(xy2700, xy3001000) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2 18.26/6.65 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (29) 18.26/6.65 YES 18.26/6.65 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (30) 18.26/6.65 Obligation: 18.26/6.65 Q DP problem: 18.26/6.65 The TRS P consists of the following rules: 18.26/6.65 18.26/6.65 new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) 18.26/6.65 18.26/6.65 R is empty. 18.26/6.65 Q is empty. 18.26/6.65 We have to consider all minimal (P,Q,R)-chains. 18.26/6.65 ---------------------------------------- 18.26/6.65 18.26/6.65 (31) QDPSizeChangeProof (EQUIVALENT) 18.26/6.65 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. 18.26/6.65 18.26/6.65 From the DPs we obtained the following set of size-change graphs: 18.26/6.65 *new_primEqNat(Succ(xy40000), Succ(xy30000)) -> new_primEqNat(xy40000, xy30000) 18.26/6.65 The graph contains the following edges 1 > 1, 2 > 2 18.26/6.66 18.26/6.66 18.26/6.66 ---------------------------------------- 18.26/6.66 18.26/6.66 (32) 18.26/6.66 YES 18.26/6.70 EOF