11.80/4.76 YES 13.65/5.26 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 13.65/5.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.65/5.26 13.65/5.26 13.65/5.26 H-Termination with start terms of the given HASKELL could be proven: 13.65/5.26 13.65/5.26 (0) HASKELL 13.65/5.26 (1) BR [EQUIVALENT, 0 ms] 13.65/5.26 (2) HASKELL 13.65/5.26 (3) COR [EQUIVALENT, 19 ms] 13.65/5.26 (4) HASKELL 13.65/5.26 (5) Narrow [SOUND, 0 ms] 13.65/5.26 (6) AND 13.65/5.26 (7) QDP 13.65/5.26 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.65/5.26 (9) YES 13.65/5.26 (10) QDP 13.65/5.26 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.65/5.26 (12) YES 13.65/5.26 (13) QDP 13.65/5.26 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.65/5.26 (15) YES 13.65/5.26 (16) QDP 13.65/5.26 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.65/5.26 (18) YES 13.65/5.26 (19) QDP 13.65/5.26 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.65/5.26 (21) YES 13.65/5.26 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (0) 13.65/5.26 Obligation: 13.65/5.26 mainModule Main 13.65/5.26 module Maybe where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 module List where { 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.65/5.26 isPrefixOf [] _ = True; 13.65/5.26 isPrefixOf _ [] = False; 13.65/5.26 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.65/5.26 13.65/5.26 } 13.65/5.26 module Main where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (1) BR (EQUIVALENT) 13.65/5.26 Replaced joker patterns by fresh variables and removed binding patterns. 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (2) 13.65/5.26 Obligation: 13.65/5.26 mainModule Main 13.65/5.26 module Maybe where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 module List where { 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.65/5.26 isPrefixOf [] xw = True; 13.65/5.26 isPrefixOf xx [] = False; 13.65/5.26 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.65/5.26 13.65/5.26 } 13.65/5.26 module Main where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (3) COR (EQUIVALENT) 13.65/5.26 Cond Reductions: 13.65/5.26 The following Function with conditions 13.65/5.26 "undefined |Falseundefined; 13.65/5.26 " 13.65/5.26 is transformed to 13.65/5.26 "undefined = undefined1; 13.65/5.26 " 13.65/5.26 "undefined0 True = undefined; 13.65/5.26 " 13.65/5.26 "undefined1 = undefined0 False; 13.65/5.26 " 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (4) 13.65/5.26 Obligation: 13.65/5.26 mainModule Main 13.65/5.26 module Maybe where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 module List where { 13.65/5.26 import qualified Main; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.65/5.26 isPrefixOf [] xw = True; 13.65/5.26 isPrefixOf xx [] = False; 13.65/5.26 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.65/5.26 13.65/5.26 } 13.65/5.26 module Main where { 13.65/5.26 import qualified List; 13.65/5.26 import qualified Maybe; 13.65/5.26 import qualified Prelude; 13.65/5.26 } 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (5) Narrow (SOUND) 13.65/5.26 Haskell To QDPs 13.65/5.26 13.65/5.26 digraph dp_graph { 13.65/5.26 node [outthreshold=100, inthreshold=100];1[label="List.isPrefixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 13.65/5.26 3[label="List.isPrefixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 13.65/5.26 4[label="List.isPrefixOf xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];629[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 629[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 629 -> 5[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 630[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 630[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 630 -> 6[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];631[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 631[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 631 -> 7[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 632[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 632[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 632 -> 8[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 6[label="List.isPrefixOf [] xy4",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3]; 13.65/5.26 7[label="List.isPrefixOf (xy30 : xy31) (xy40 : xy41)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3]; 13.65/5.26 8[label="List.isPrefixOf (xy30 : xy31) []",fontsize=16,color="black",shape="box"];8 -> 11[label="",style="solid", color="black", weight=3]; 13.65/5.26 9[label="True",fontsize=16,color="green",shape="box"];10 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 27[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 10 -> 28[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 11[label="False",fontsize=16,color="green",shape="box"];27 -> 4[label="",style="dashed", color="red", weight=0]; 13.65/5.26 27[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];27 -> 39[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 27 -> 40[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 28[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];633[label="xy30/Left xy300",fontsize=10,color="white",style="solid",shape="box"];28 -> 633[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 633 -> 41[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 634[label="xy30/Right xy300",fontsize=10,color="white",style="solid",shape="box"];28 -> 634[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 634 -> 42[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 26[label="xy9 && xy10",fontsize=16,color="burlywood",shape="triangle"];635[label="xy9/False",fontsize=10,color="white",style="solid",shape="box"];26 -> 635[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 635 -> 43[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 636[label="xy9/True",fontsize=10,color="white",style="solid",shape="box"];26 -> 636[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 636 -> 44[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 39[label="xy31",fontsize=16,color="green",shape="box"];40[label="xy41",fontsize=16,color="green",shape="box"];41[label="Left xy300 == xy40",fontsize=16,color="burlywood",shape="box"];637[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];41 -> 637[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 637 -> 45[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 638[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];41 -> 638[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 638 -> 46[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 42[label="Right xy300 == xy40",fontsize=16,color="burlywood",shape="box"];639[label="xy40/Left xy400",fontsize=10,color="white",style="solid",shape="box"];42 -> 639[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 639 -> 47[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 640[label="xy40/Right xy400",fontsize=10,color="white",style="solid",shape="box"];42 -> 640[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 640 -> 48[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 43[label="False && xy10",fontsize=16,color="black",shape="box"];43 -> 49[label="",style="solid", color="black", weight=3]; 13.65/5.26 44[label="True && xy10",fontsize=16,color="black",shape="box"];44 -> 50[label="",style="solid", color="black", weight=3]; 13.65/5.26 45[label="Left xy300 == Left xy400",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3]; 13.65/5.26 46[label="Left xy300 == Right xy400",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3]; 13.65/5.26 47[label="Right xy300 == Left xy400",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 13.65/5.26 48[label="Right xy300 == Right xy400",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 13.65/5.26 49[label="False",fontsize=16,color="green",shape="box"];50[label="xy10",fontsize=16,color="green",shape="box"];51[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];641[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 641[label="",style="solid", color="blue", weight=9]; 13.65/5.26 641 -> 55[label="",style="solid", color="blue", weight=3]; 13.65/5.26 642[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 642[label="",style="solid", color="blue", weight=9]; 13.65/5.26 642 -> 56[label="",style="solid", color="blue", weight=3]; 13.65/5.26 643[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 643[label="",style="solid", color="blue", weight=9]; 13.65/5.26 643 -> 57[label="",style="solid", color="blue", weight=3]; 13.65/5.26 644[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 644[label="",style="solid", color="blue", weight=9]; 13.65/5.26 644 -> 58[label="",style="solid", color="blue", weight=3]; 13.65/5.26 645[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 645[label="",style="solid", color="blue", weight=9]; 13.65/5.26 645 -> 59[label="",style="solid", color="blue", weight=3]; 13.65/5.26 646[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 646[label="",style="solid", color="blue", weight=9]; 13.65/5.26 646 -> 60[label="",style="solid", color="blue", weight=3]; 13.65/5.26 647[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 647[label="",style="solid", color="blue", weight=9]; 13.65/5.26 647 -> 61[label="",style="solid", color="blue", weight=3]; 13.65/5.26 648[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 648[label="",style="solid", color="blue", weight=9]; 13.65/5.26 648 -> 62[label="",style="solid", color="blue", weight=3]; 13.65/5.26 649[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 649[label="",style="solid", color="blue", weight=9]; 13.65/5.26 649 -> 63[label="",style="solid", color="blue", weight=3]; 13.65/5.26 650[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 650[label="",style="solid", color="blue", weight=9]; 13.65/5.26 650 -> 64[label="",style="solid", color="blue", weight=3]; 13.65/5.26 651[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 651[label="",style="solid", color="blue", weight=9]; 13.65/5.26 651 -> 65[label="",style="solid", color="blue", weight=3]; 13.65/5.26 652[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 652[label="",style="solid", color="blue", weight=9]; 13.65/5.26 652 -> 66[label="",style="solid", color="blue", weight=3]; 13.65/5.26 653[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 653[label="",style="solid", color="blue", weight=9]; 13.65/5.26 653 -> 67[label="",style="solid", color="blue", weight=3]; 13.65/5.26 654[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 654[label="",style="solid", color="blue", weight=9]; 13.65/5.26 654 -> 68[label="",style="solid", color="blue", weight=3]; 13.65/5.26 52[label="False",fontsize=16,color="green",shape="box"];53[label="False",fontsize=16,color="green",shape="box"];54[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];655[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 655[label="",style="solid", color="blue", weight=9]; 13.65/5.26 655 -> 69[label="",style="solid", color="blue", weight=3]; 13.65/5.26 656[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 656[label="",style="solid", color="blue", weight=9]; 13.65/5.26 656 -> 70[label="",style="solid", color="blue", weight=3]; 13.65/5.26 657[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 657[label="",style="solid", color="blue", weight=9]; 13.65/5.26 657 -> 71[label="",style="solid", color="blue", weight=3]; 13.65/5.26 658[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 658[label="",style="solid", color="blue", weight=9]; 13.65/5.26 658 -> 72[label="",style="solid", color="blue", weight=3]; 13.65/5.26 659[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 659[label="",style="solid", color="blue", weight=9]; 13.65/5.26 659 -> 73[label="",style="solid", color="blue", weight=3]; 13.65/5.26 660[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 660[label="",style="solid", color="blue", weight=9]; 13.65/5.26 660 -> 74[label="",style="solid", color="blue", weight=3]; 13.65/5.26 661[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 661[label="",style="solid", color="blue", weight=9]; 13.65/5.26 661 -> 75[label="",style="solid", color="blue", weight=3]; 13.65/5.26 662[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 662[label="",style="solid", color="blue", weight=9]; 13.65/5.26 662 -> 76[label="",style="solid", color="blue", weight=3]; 13.65/5.26 663[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 663[label="",style="solid", color="blue", weight=9]; 13.65/5.26 663 -> 77[label="",style="solid", color="blue", weight=3]; 13.65/5.26 664[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 664[label="",style="solid", color="blue", weight=9]; 13.65/5.26 664 -> 78[label="",style="solid", color="blue", weight=3]; 13.65/5.26 665[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 665[label="",style="solid", color="blue", weight=9]; 13.65/5.26 665 -> 79[label="",style="solid", color="blue", weight=3]; 13.65/5.26 666[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 666[label="",style="solid", color="blue", weight=9]; 13.65/5.26 666 -> 80[label="",style="solid", color="blue", weight=3]; 13.65/5.26 667[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 667[label="",style="solid", color="blue", weight=9]; 13.65/5.26 667 -> 81[label="",style="solid", color="blue", weight=3]; 13.65/5.26 668[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];54 -> 668[label="",style="solid", color="blue", weight=9]; 13.65/5.26 668 -> 82[label="",style="solid", color="blue", weight=3]; 13.65/5.26 55[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];669[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];55 -> 669[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 669 -> 83[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 670[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];55 -> 670[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 670 -> 84[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 56[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];671[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];56 -> 671[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 671 -> 85[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 672[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];56 -> 672[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 672 -> 86[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 673[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];56 -> 673[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 673 -> 87[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 57 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 57[label="xy300 == xy400",fontsize=16,color="magenta"];57 -> 88[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 57 -> 89[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 58[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];674[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];58 -> 674[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 674 -> 90[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 675[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];58 -> 675[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 675 -> 91[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 59[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];59 -> 92[label="",style="solid", color="black", weight=3]; 13.65/5.26 60[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];676[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];60 -> 676[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 676 -> 93[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 677[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];60 -> 677[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 677 -> 94[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 61[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];678[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];61 -> 678[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 678 -> 95[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 62[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];679[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];62 -> 679[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 679 -> 96[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 63[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];680[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];63 -> 680[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 680 -> 97[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 64[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];64 -> 98[label="",style="solid", color="black", weight=3]; 13.65/5.26 65[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];65 -> 99[label="",style="solid", color="black", weight=3]; 13.65/5.26 66[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];681[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];66 -> 681[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 681 -> 100[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 67[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];67 -> 101[label="",style="solid", color="black", weight=3]; 13.65/5.26 68[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];682[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];68 -> 682[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 682 -> 102[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 69 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 69[label="xy300 == xy400",fontsize=16,color="magenta"];69 -> 103[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 69 -> 104[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 70 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 70[label="xy300 == xy400",fontsize=16,color="magenta"];70 -> 105[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 70 -> 106[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 71 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 71[label="xy300 == xy400",fontsize=16,color="magenta"];71 -> 107[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 71 -> 108[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 72 -> 58[label="",style="dashed", color="red", weight=0]; 13.65/5.26 72[label="xy300 == xy400",fontsize=16,color="magenta"];72 -> 109[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 72 -> 110[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 73 -> 59[label="",style="dashed", color="red", weight=0]; 13.65/5.26 73[label="xy300 == xy400",fontsize=16,color="magenta"];73 -> 111[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 73 -> 112[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 74 -> 60[label="",style="dashed", color="red", weight=0]; 13.65/5.26 74[label="xy300 == xy400",fontsize=16,color="magenta"];74 -> 113[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 74 -> 114[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 75 -> 61[label="",style="dashed", color="red", weight=0]; 13.65/5.26 75[label="xy300 == xy400",fontsize=16,color="magenta"];75 -> 115[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 75 -> 116[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 76 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 76[label="xy300 == xy400",fontsize=16,color="magenta"];76 -> 117[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 76 -> 118[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 77 -> 63[label="",style="dashed", color="red", weight=0]; 13.65/5.26 77[label="xy300 == xy400",fontsize=16,color="magenta"];77 -> 119[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 77 -> 120[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 78 -> 64[label="",style="dashed", color="red", weight=0]; 13.65/5.26 78[label="xy300 == xy400",fontsize=16,color="magenta"];78 -> 121[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 78 -> 122[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 79 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 79[label="xy300 == xy400",fontsize=16,color="magenta"];79 -> 123[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 79 -> 124[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 80 -> 66[label="",style="dashed", color="red", weight=0]; 13.65/5.26 80[label="xy300 == xy400",fontsize=16,color="magenta"];80 -> 125[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 80 -> 126[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 81 -> 67[label="",style="dashed", color="red", weight=0]; 13.65/5.26 81[label="xy300 == xy400",fontsize=16,color="magenta"];81 -> 127[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 81 -> 128[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 82 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 82[label="xy300 == xy400",fontsize=16,color="magenta"];82 -> 129[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 82 -> 130[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 83[label="xy3000 : xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];683[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];83 -> 683[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 683 -> 131[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 684[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];83 -> 684[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 684 -> 132[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 84[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];685[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];84 -> 685[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 685 -> 133[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 686[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];84 -> 686[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 686 -> 134[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 85[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];687[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];85 -> 687[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 687 -> 135[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 688[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];85 -> 688[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 688 -> 136[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 689[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];85 -> 689[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 689 -> 137[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 86[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];690[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];86 -> 690[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 690 -> 138[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 691[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];86 -> 691[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 691 -> 139[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 692[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];86 -> 692[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 692 -> 140[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 87[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];693[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];87 -> 693[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 693 -> 141[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 694[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];87 -> 694[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 694 -> 142[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 695[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];87 -> 695[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 695 -> 143[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 88[label="xy300",fontsize=16,color="green",shape="box"];89[label="xy400",fontsize=16,color="green",shape="box"];90[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];696[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];90 -> 696[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 696 -> 144[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 697[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];90 -> 697[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 697 -> 145[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 91[label="Just xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];698[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];91 -> 698[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 698 -> 146[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 699[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];91 -> 699[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 699 -> 147[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 92[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];700[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];92 -> 700[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 700 -> 148[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 93[label="False == xy400",fontsize=16,color="burlywood",shape="box"];701[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];93 -> 701[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 701 -> 149[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 702[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];93 -> 702[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 702 -> 150[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 94[label="True == xy400",fontsize=16,color="burlywood",shape="box"];703[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];94 -> 703[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 703 -> 151[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 704[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];94 -> 704[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 704 -> 152[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 95[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];705[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];95 -> 705[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 705 -> 153[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 96[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];706[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];96 -> 706[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 706 -> 154[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 97[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];707[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];97 -> 707[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 707 -> 155[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 98[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];708[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];98 -> 708[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 708 -> 156[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 99[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];709[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];99 -> 709[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 709 -> 157[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 710[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];99 -> 710[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 710 -> 158[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 100[label="(xy3000,xy3001) == xy400",fontsize=16,color="burlywood",shape="box"];711[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];100 -> 711[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 711 -> 159[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 101[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];712[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];101 -> 712[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 712 -> 160[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 102[label="() == xy400",fontsize=16,color="burlywood",shape="box"];713[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];102 -> 713[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 713 -> 161[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 103[label="xy300",fontsize=16,color="green",shape="box"];104[label="xy400",fontsize=16,color="green",shape="box"];105[label="xy300",fontsize=16,color="green",shape="box"];106[label="xy400",fontsize=16,color="green",shape="box"];107[label="xy300",fontsize=16,color="green",shape="box"];108[label="xy400",fontsize=16,color="green",shape="box"];109[label="xy300",fontsize=16,color="green",shape="box"];110[label="xy400",fontsize=16,color="green",shape="box"];111[label="xy300",fontsize=16,color="green",shape="box"];112[label="xy400",fontsize=16,color="green",shape="box"];113[label="xy300",fontsize=16,color="green",shape="box"];114[label="xy400",fontsize=16,color="green",shape="box"];115[label="xy300",fontsize=16,color="green",shape="box"];116[label="xy400",fontsize=16,color="green",shape="box"];117[label="xy300",fontsize=16,color="green",shape="box"];118[label="xy400",fontsize=16,color="green",shape="box"];119[label="xy300",fontsize=16,color="green",shape="box"];120[label="xy400",fontsize=16,color="green",shape="box"];121[label="xy300",fontsize=16,color="green",shape="box"];122[label="xy400",fontsize=16,color="green",shape="box"];123[label="xy300",fontsize=16,color="green",shape="box"];124[label="xy400",fontsize=16,color="green",shape="box"];125[label="xy300",fontsize=16,color="green",shape="box"];126[label="xy400",fontsize=16,color="green",shape="box"];127[label="xy300",fontsize=16,color="green",shape="box"];128[label="xy400",fontsize=16,color="green",shape="box"];129[label="xy300",fontsize=16,color="green",shape="box"];130[label="xy400",fontsize=16,color="green",shape="box"];131[label="xy3000 : xy3001 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];131 -> 162[label="",style="solid", color="black", weight=3]; 13.65/5.26 132[label="xy3000 : xy3001 == []",fontsize=16,color="black",shape="box"];132 -> 163[label="",style="solid", color="black", weight=3]; 13.65/5.26 133[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];133 -> 164[label="",style="solid", color="black", weight=3]; 13.65/5.26 134[label="[] == []",fontsize=16,color="black",shape="box"];134 -> 165[label="",style="solid", color="black", weight=3]; 13.65/5.26 135[label="LT == LT",fontsize=16,color="black",shape="box"];135 -> 166[label="",style="solid", color="black", weight=3]; 13.65/5.26 136[label="LT == EQ",fontsize=16,color="black",shape="box"];136 -> 167[label="",style="solid", color="black", weight=3]; 13.65/5.26 137[label="LT == GT",fontsize=16,color="black",shape="box"];137 -> 168[label="",style="solid", color="black", weight=3]; 13.65/5.26 138[label="EQ == LT",fontsize=16,color="black",shape="box"];138 -> 169[label="",style="solid", color="black", weight=3]; 13.65/5.26 139[label="EQ == EQ",fontsize=16,color="black",shape="box"];139 -> 170[label="",style="solid", color="black", weight=3]; 13.65/5.26 140[label="EQ == GT",fontsize=16,color="black",shape="box"];140 -> 171[label="",style="solid", color="black", weight=3]; 13.65/5.26 141[label="GT == LT",fontsize=16,color="black",shape="box"];141 -> 172[label="",style="solid", color="black", weight=3]; 13.65/5.26 142[label="GT == EQ",fontsize=16,color="black",shape="box"];142 -> 173[label="",style="solid", color="black", weight=3]; 13.65/5.26 143[label="GT == GT",fontsize=16,color="black",shape="box"];143 -> 174[label="",style="solid", color="black", weight=3]; 13.65/5.26 144[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];144 -> 175[label="",style="solid", color="black", weight=3]; 13.65/5.26 145[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];145 -> 176[label="",style="solid", color="black", weight=3]; 13.65/5.26 146[label="Just xy3000 == Nothing",fontsize=16,color="black",shape="box"];146 -> 177[label="",style="solid", color="black", weight=3]; 13.65/5.26 147[label="Just xy3000 == Just xy4000",fontsize=16,color="black",shape="box"];147 -> 178[label="",style="solid", color="black", weight=3]; 13.65/5.26 148[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];714[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];148 -> 714[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 714 -> 179[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 149[label="False == False",fontsize=16,color="black",shape="box"];149 -> 180[label="",style="solid", color="black", weight=3]; 13.65/5.26 150[label="False == True",fontsize=16,color="black",shape="box"];150 -> 181[label="",style="solid", color="black", weight=3]; 13.65/5.26 151[label="True == False",fontsize=16,color="black",shape="box"];151 -> 182[label="",style="solid", color="black", weight=3]; 13.65/5.26 152[label="True == True",fontsize=16,color="black",shape="box"];152 -> 183[label="",style="solid", color="black", weight=3]; 13.65/5.26 153[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];153 -> 184[label="",style="solid", color="black", weight=3]; 13.65/5.26 154[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];154 -> 185[label="",style="solid", color="black", weight=3]; 13.65/5.26 155[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];155 -> 186[label="",style="solid", color="black", weight=3]; 13.65/5.26 156[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];715[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];156 -> 715[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 715 -> 187[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 157[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];716[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];157 -> 716[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 716 -> 188[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 717[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];157 -> 717[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 717 -> 189[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 158[label="primEqInt (Neg xy3000) xy400",fontsize=16,color="burlywood",shape="box"];718[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];158 -> 718[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 718 -> 190[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 719[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];158 -> 719[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 719 -> 191[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 159[label="(xy3000,xy3001) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];159 -> 192[label="",style="solid", color="black", weight=3]; 13.65/5.26 160[label="primEqFloat (Float xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];720[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];160 -> 720[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 720 -> 193[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 161[label="() == ()",fontsize=16,color="black",shape="box"];161 -> 194[label="",style="solid", color="black", weight=3]; 13.65/5.26 162 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 162[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];162 -> 195[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 162 -> 196[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 163[label="False",fontsize=16,color="green",shape="box"];164[label="False",fontsize=16,color="green",shape="box"];165[label="True",fontsize=16,color="green",shape="box"];166[label="True",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="False",fontsize=16,color="green",shape="box"];169[label="False",fontsize=16,color="green",shape="box"];170[label="True",fontsize=16,color="green",shape="box"];171[label="False",fontsize=16,color="green",shape="box"];172[label="False",fontsize=16,color="green",shape="box"];173[label="False",fontsize=16,color="green",shape="box"];174[label="True",fontsize=16,color="green",shape="box"];175[label="True",fontsize=16,color="green",shape="box"];176[label="False",fontsize=16,color="green",shape="box"];177[label="False",fontsize=16,color="green",shape="box"];178[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];721[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 721[label="",style="solid", color="blue", weight=9]; 13.65/5.26 721 -> 197[label="",style="solid", color="blue", weight=3]; 13.65/5.26 722[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 722[label="",style="solid", color="blue", weight=9]; 13.65/5.26 722 -> 198[label="",style="solid", color="blue", weight=3]; 13.65/5.26 723[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 723[label="",style="solid", color="blue", weight=9]; 13.65/5.26 723 -> 199[label="",style="solid", color="blue", weight=3]; 13.65/5.26 724[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 724[label="",style="solid", color="blue", weight=9]; 13.65/5.26 724 -> 200[label="",style="solid", color="blue", weight=3]; 13.65/5.26 725[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 725[label="",style="solid", color="blue", weight=9]; 13.65/5.26 725 -> 201[label="",style="solid", color="blue", weight=3]; 13.65/5.26 726[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 726[label="",style="solid", color="blue", weight=9]; 13.65/5.26 726 -> 202[label="",style="solid", color="blue", weight=3]; 13.65/5.26 727[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 727[label="",style="solid", color="blue", weight=9]; 13.65/5.26 727 -> 203[label="",style="solid", color="blue", weight=3]; 13.65/5.26 728[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 728[label="",style="solid", color="blue", weight=9]; 13.65/5.26 728 -> 204[label="",style="solid", color="blue", weight=3]; 13.65/5.26 729[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 729[label="",style="solid", color="blue", weight=9]; 13.65/5.26 729 -> 205[label="",style="solid", color="blue", weight=3]; 13.65/5.26 730[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 730[label="",style="solid", color="blue", weight=9]; 13.65/5.26 730 -> 206[label="",style="solid", color="blue", weight=3]; 13.65/5.26 731[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 731[label="",style="solid", color="blue", weight=9]; 13.65/5.26 731 -> 207[label="",style="solid", color="blue", weight=3]; 13.65/5.26 732[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 732[label="",style="solid", color="blue", weight=9]; 13.65/5.26 732 -> 208[label="",style="solid", color="blue", weight=3]; 13.65/5.26 733[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 733[label="",style="solid", color="blue", weight=9]; 13.65/5.26 733 -> 209[label="",style="solid", color="blue", weight=3]; 13.65/5.26 734[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];178 -> 734[label="",style="solid", color="blue", weight=9]; 13.65/5.26 734 -> 210[label="",style="solid", color="blue", weight=3]; 13.65/5.26 179[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];179 -> 211[label="",style="solid", color="black", weight=3]; 13.65/5.26 180[label="True",fontsize=16,color="green",shape="box"];181[label="False",fontsize=16,color="green",shape="box"];182[label="False",fontsize=16,color="green",shape="box"];183[label="True",fontsize=16,color="green",shape="box"];184 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 184[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];184 -> 212[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 184 -> 213[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 185 -> 99[label="",style="dashed", color="red", weight=0]; 13.65/5.26 185[label="primEqInt xy3000 xy4000",fontsize=16,color="magenta"];185 -> 214[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 185 -> 215[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 186 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 186[label="xy3000 == xy4000 && xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];186 -> 216[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 186 -> 217[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 187[label="primEqDouble (Double xy3000 xy3001) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];187 -> 218[label="",style="solid", color="black", weight=3]; 13.65/5.26 188[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];735[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];188 -> 735[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 735 -> 219[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 736[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];188 -> 736[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 736 -> 220[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 189[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];737[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];189 -> 737[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 737 -> 221[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 738[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];189 -> 738[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 738 -> 222[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 190[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];739[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];190 -> 739[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 739 -> 223[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 740[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];190 -> 740[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 740 -> 224[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 191[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];741[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];191 -> 741[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 741 -> 225[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 742[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];191 -> 742[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 742 -> 226[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 192 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 192[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];192 -> 227[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 192 -> 228[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 193[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];193 -> 229[label="",style="solid", color="black", weight=3]; 13.65/5.26 194[label="True",fontsize=16,color="green",shape="box"];195 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 195[label="xy3001 == xy4001",fontsize=16,color="magenta"];195 -> 230[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 195 -> 231[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 196[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];743[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 743[label="",style="solid", color="blue", weight=9]; 13.65/5.26 743 -> 232[label="",style="solid", color="blue", weight=3]; 13.65/5.26 744[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 744[label="",style="solid", color="blue", weight=9]; 13.65/5.26 744 -> 233[label="",style="solid", color="blue", weight=3]; 13.65/5.26 745[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 745[label="",style="solid", color="blue", weight=9]; 13.65/5.26 745 -> 234[label="",style="solid", color="blue", weight=3]; 13.65/5.26 746[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 746[label="",style="solid", color="blue", weight=9]; 13.65/5.26 746 -> 235[label="",style="solid", color="blue", weight=3]; 13.65/5.26 747[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 747[label="",style="solid", color="blue", weight=9]; 13.65/5.26 747 -> 236[label="",style="solid", color="blue", weight=3]; 13.65/5.26 748[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 748[label="",style="solid", color="blue", weight=9]; 13.65/5.26 748 -> 237[label="",style="solid", color="blue", weight=3]; 13.65/5.26 749[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 749[label="",style="solid", color="blue", weight=9]; 13.65/5.26 749 -> 238[label="",style="solid", color="blue", weight=3]; 13.65/5.26 750[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 750[label="",style="solid", color="blue", weight=9]; 13.65/5.26 750 -> 239[label="",style="solid", color="blue", weight=3]; 13.65/5.26 751[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 751[label="",style="solid", color="blue", weight=9]; 13.65/5.26 751 -> 240[label="",style="solid", color="blue", weight=3]; 13.65/5.26 752[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 752[label="",style="solid", color="blue", weight=9]; 13.65/5.26 752 -> 241[label="",style="solid", color="blue", weight=3]; 13.65/5.26 753[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 753[label="",style="solid", color="blue", weight=9]; 13.65/5.26 753 -> 242[label="",style="solid", color="blue", weight=3]; 13.65/5.26 754[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 754[label="",style="solid", color="blue", weight=9]; 13.65/5.26 754 -> 243[label="",style="solid", color="blue", weight=3]; 13.65/5.26 755[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 755[label="",style="solid", color="blue", weight=9]; 13.65/5.26 755 -> 244[label="",style="solid", color="blue", weight=3]; 13.65/5.26 756[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 756[label="",style="solid", color="blue", weight=9]; 13.65/5.26 756 -> 245[label="",style="solid", color="blue", weight=3]; 13.65/5.26 197 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 197[label="xy3000 == xy4000",fontsize=16,color="magenta"];197 -> 246[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 197 -> 247[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 198 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 198[label="xy3000 == xy4000",fontsize=16,color="magenta"];198 -> 248[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 198 -> 249[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 199 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 199[label="xy3000 == xy4000",fontsize=16,color="magenta"];199 -> 250[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 199 -> 251[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 200 -> 58[label="",style="dashed", color="red", weight=0]; 13.65/5.26 200[label="xy3000 == xy4000",fontsize=16,color="magenta"];200 -> 252[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 200 -> 253[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 201 -> 59[label="",style="dashed", color="red", weight=0]; 13.65/5.26 201[label="xy3000 == xy4000",fontsize=16,color="magenta"];201 -> 254[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 201 -> 255[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 202 -> 60[label="",style="dashed", color="red", weight=0]; 13.65/5.26 202[label="xy3000 == xy4000",fontsize=16,color="magenta"];202 -> 256[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 202 -> 257[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 203 -> 61[label="",style="dashed", color="red", weight=0]; 13.65/5.26 203[label="xy3000 == xy4000",fontsize=16,color="magenta"];203 -> 258[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 203 -> 259[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 204 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 204[label="xy3000 == xy4000",fontsize=16,color="magenta"];204 -> 260[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 204 -> 261[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 205 -> 63[label="",style="dashed", color="red", weight=0]; 13.65/5.26 205[label="xy3000 == xy4000",fontsize=16,color="magenta"];205 -> 262[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 205 -> 263[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 206 -> 64[label="",style="dashed", color="red", weight=0]; 13.65/5.26 206[label="xy3000 == xy4000",fontsize=16,color="magenta"];206 -> 264[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 206 -> 265[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 207 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 207[label="xy3000 == xy4000",fontsize=16,color="magenta"];207 -> 266[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 207 -> 267[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 208 -> 66[label="",style="dashed", color="red", weight=0]; 13.65/5.26 208[label="xy3000 == xy4000",fontsize=16,color="magenta"];208 -> 268[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 208 -> 269[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 209 -> 67[label="",style="dashed", color="red", weight=0]; 13.65/5.26 209[label="xy3000 == xy4000",fontsize=16,color="magenta"];209 -> 270[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 209 -> 271[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 210 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 210[label="xy3000 == xy4000",fontsize=16,color="magenta"];210 -> 272[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 210 -> 273[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 211[label="primEqNat xy3000 xy4000",fontsize=16,color="burlywood",shape="triangle"];757[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];211 -> 757[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 757 -> 274[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 758[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];211 -> 758[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 758 -> 275[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 212[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];759[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 759[label="",style="solid", color="blue", weight=9]; 13.65/5.26 759 -> 276[label="",style="solid", color="blue", weight=3]; 13.65/5.26 760[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];212 -> 760[label="",style="solid", color="blue", weight=9]; 13.65/5.26 760 -> 277[label="",style="solid", color="blue", weight=3]; 13.65/5.26 213[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];761[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 761[label="",style="solid", color="blue", weight=9]; 13.65/5.26 761 -> 278[label="",style="solid", color="blue", weight=3]; 13.65/5.26 762[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 762[label="",style="solid", color="blue", weight=9]; 13.65/5.26 762 -> 279[label="",style="solid", color="blue", weight=3]; 13.65/5.26 214[label="xy3000",fontsize=16,color="green",shape="box"];215[label="xy4000",fontsize=16,color="green",shape="box"];216 -> 26[label="",style="dashed", color="red", weight=0]; 13.65/5.26 216[label="xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];216 -> 280[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 216 -> 281[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 217[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];763[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 763[label="",style="solid", color="blue", weight=9]; 13.65/5.26 763 -> 282[label="",style="solid", color="blue", weight=3]; 13.65/5.26 764[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 764[label="",style="solid", color="blue", weight=9]; 13.65/5.26 764 -> 283[label="",style="solid", color="blue", weight=3]; 13.65/5.26 765[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 765[label="",style="solid", color="blue", weight=9]; 13.65/5.26 765 -> 284[label="",style="solid", color="blue", weight=3]; 13.65/5.26 766[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 766[label="",style="solid", color="blue", weight=9]; 13.65/5.26 766 -> 285[label="",style="solid", color="blue", weight=3]; 13.65/5.26 767[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 767[label="",style="solid", color="blue", weight=9]; 13.65/5.26 767 -> 286[label="",style="solid", color="blue", weight=3]; 13.65/5.26 768[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 768[label="",style="solid", color="blue", weight=9]; 13.65/5.26 768 -> 287[label="",style="solid", color="blue", weight=3]; 13.65/5.26 769[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 769[label="",style="solid", color="blue", weight=9]; 13.65/5.26 769 -> 288[label="",style="solid", color="blue", weight=3]; 13.65/5.26 770[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 770[label="",style="solid", color="blue", weight=9]; 13.65/5.26 770 -> 289[label="",style="solid", color="blue", weight=3]; 13.65/5.26 771[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 771[label="",style="solid", color="blue", weight=9]; 13.65/5.26 771 -> 290[label="",style="solid", color="blue", weight=3]; 13.65/5.26 772[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 772[label="",style="solid", color="blue", weight=9]; 13.65/5.26 772 -> 291[label="",style="solid", color="blue", weight=3]; 13.65/5.26 773[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 773[label="",style="solid", color="blue", weight=9]; 13.65/5.26 773 -> 292[label="",style="solid", color="blue", weight=3]; 13.65/5.26 774[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 774[label="",style="solid", color="blue", weight=9]; 13.65/5.26 774 -> 293[label="",style="solid", color="blue", weight=3]; 13.65/5.26 775[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 775[label="",style="solid", color="blue", weight=9]; 13.65/5.26 775 -> 294[label="",style="solid", color="blue", weight=3]; 13.65/5.26 776[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 776[label="",style="solid", color="blue", weight=9]; 13.65/5.26 776 -> 295[label="",style="solid", color="blue", weight=3]; 13.65/5.26 218 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 218[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];218 -> 296[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 218 -> 297[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 219[label="primEqInt (Pos (Succ xy30000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];777[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];219 -> 777[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 777 -> 298[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 778[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];219 -> 778[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 778 -> 299[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 220[label="primEqInt (Pos (Succ xy30000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];220 -> 300[label="",style="solid", color="black", weight=3]; 13.65/5.26 221[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];779[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];221 -> 779[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 779 -> 301[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 780[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];221 -> 780[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 780 -> 302[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 222[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];781[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];222 -> 781[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 781 -> 303[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 782[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];222 -> 782[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 782 -> 304[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 223[label="primEqInt (Neg (Succ xy30000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];223 -> 305[label="",style="solid", color="black", weight=3]; 13.65/5.26 224[label="primEqInt (Neg (Succ xy30000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];783[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];224 -> 783[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 783 -> 306[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 784[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];224 -> 784[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 784 -> 307[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 225[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];785[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];225 -> 785[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 785 -> 308[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 786[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];225 -> 786[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 786 -> 309[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 226[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];787[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];226 -> 787[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 787 -> 310[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 788[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];226 -> 788[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 788 -> 311[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 227[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];789[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 789[label="",style="solid", color="blue", weight=9]; 13.65/5.26 789 -> 312[label="",style="solid", color="blue", weight=3]; 13.65/5.26 790[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 790[label="",style="solid", color="blue", weight=9]; 13.65/5.26 790 -> 313[label="",style="solid", color="blue", weight=3]; 13.65/5.26 791[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 791[label="",style="solid", color="blue", weight=9]; 13.65/5.26 791 -> 314[label="",style="solid", color="blue", weight=3]; 13.65/5.26 792[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 792[label="",style="solid", color="blue", weight=9]; 13.65/5.26 792 -> 315[label="",style="solid", color="blue", weight=3]; 13.65/5.26 793[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 793[label="",style="solid", color="blue", weight=9]; 13.65/5.26 793 -> 316[label="",style="solid", color="blue", weight=3]; 13.65/5.26 794[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 794[label="",style="solid", color="blue", weight=9]; 13.65/5.26 794 -> 317[label="",style="solid", color="blue", weight=3]; 13.65/5.26 795[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 795[label="",style="solid", color="blue", weight=9]; 13.65/5.26 795 -> 318[label="",style="solid", color="blue", weight=3]; 13.65/5.26 796[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 796[label="",style="solid", color="blue", weight=9]; 13.65/5.26 796 -> 319[label="",style="solid", color="blue", weight=3]; 13.65/5.26 797[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 797[label="",style="solid", color="blue", weight=9]; 13.65/5.26 797 -> 320[label="",style="solid", color="blue", weight=3]; 13.65/5.26 798[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 798[label="",style="solid", color="blue", weight=9]; 13.65/5.26 798 -> 321[label="",style="solid", color="blue", weight=3]; 13.65/5.26 799[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 799[label="",style="solid", color="blue", weight=9]; 13.65/5.26 799 -> 322[label="",style="solid", color="blue", weight=3]; 13.65/5.26 800[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 800[label="",style="solid", color="blue", weight=9]; 13.65/5.26 800 -> 323[label="",style="solid", color="blue", weight=3]; 13.65/5.26 801[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 801[label="",style="solid", color="blue", weight=9]; 13.65/5.26 801 -> 324[label="",style="solid", color="blue", weight=3]; 13.65/5.26 802[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];227 -> 802[label="",style="solid", color="blue", weight=9]; 13.65/5.26 802 -> 325[label="",style="solid", color="blue", weight=3]; 13.65/5.26 228[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];803[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 803[label="",style="solid", color="blue", weight=9]; 13.65/5.26 803 -> 326[label="",style="solid", color="blue", weight=3]; 13.65/5.26 804[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 804[label="",style="solid", color="blue", weight=9]; 13.65/5.26 804 -> 327[label="",style="solid", color="blue", weight=3]; 13.65/5.26 805[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 805[label="",style="solid", color="blue", weight=9]; 13.65/5.26 805 -> 328[label="",style="solid", color="blue", weight=3]; 13.65/5.26 806[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 806[label="",style="solid", color="blue", weight=9]; 13.65/5.26 806 -> 329[label="",style="solid", color="blue", weight=3]; 13.65/5.26 807[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 807[label="",style="solid", color="blue", weight=9]; 13.65/5.26 807 -> 330[label="",style="solid", color="blue", weight=3]; 13.65/5.26 808[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 808[label="",style="solid", color="blue", weight=9]; 13.65/5.26 808 -> 331[label="",style="solid", color="blue", weight=3]; 13.65/5.26 809[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 809[label="",style="solid", color="blue", weight=9]; 13.65/5.26 809 -> 332[label="",style="solid", color="blue", weight=3]; 13.65/5.26 810[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 810[label="",style="solid", color="blue", weight=9]; 13.65/5.26 810 -> 333[label="",style="solid", color="blue", weight=3]; 13.65/5.26 811[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 811[label="",style="solid", color="blue", weight=9]; 13.65/5.26 811 -> 334[label="",style="solid", color="blue", weight=3]; 13.65/5.26 812[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 812[label="",style="solid", color="blue", weight=9]; 13.65/5.26 812 -> 335[label="",style="solid", color="blue", weight=3]; 13.65/5.26 813[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 813[label="",style="solid", color="blue", weight=9]; 13.65/5.26 813 -> 336[label="",style="solid", color="blue", weight=3]; 13.65/5.26 814[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 814[label="",style="solid", color="blue", weight=9]; 13.65/5.26 814 -> 337[label="",style="solid", color="blue", weight=3]; 13.65/5.26 815[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 815[label="",style="solid", color="blue", weight=9]; 13.65/5.26 815 -> 338[label="",style="solid", color="blue", weight=3]; 13.65/5.26 816[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];228 -> 816[label="",style="solid", color="blue", weight=9]; 13.65/5.26 816 -> 339[label="",style="solid", color="blue", weight=3]; 13.65/5.26 229 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 229[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];229 -> 340[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 229 -> 341[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 230[label="xy3001",fontsize=16,color="green",shape="box"];231[label="xy4001",fontsize=16,color="green",shape="box"];232 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 232[label="xy3000 == xy4000",fontsize=16,color="magenta"];232 -> 342[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 232 -> 343[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 233 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 233[label="xy3000 == xy4000",fontsize=16,color="magenta"];233 -> 344[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 233 -> 345[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 234 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 234[label="xy3000 == xy4000",fontsize=16,color="magenta"];234 -> 346[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 234 -> 347[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 235 -> 58[label="",style="dashed", color="red", weight=0]; 13.65/5.26 235[label="xy3000 == xy4000",fontsize=16,color="magenta"];235 -> 348[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 235 -> 349[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 236 -> 59[label="",style="dashed", color="red", weight=0]; 13.65/5.26 236[label="xy3000 == xy4000",fontsize=16,color="magenta"];236 -> 350[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 236 -> 351[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 237 -> 60[label="",style="dashed", color="red", weight=0]; 13.65/5.26 237[label="xy3000 == xy4000",fontsize=16,color="magenta"];237 -> 352[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 237 -> 353[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 238 -> 61[label="",style="dashed", color="red", weight=0]; 13.65/5.26 238[label="xy3000 == xy4000",fontsize=16,color="magenta"];238 -> 354[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 238 -> 355[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 239 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 239[label="xy3000 == xy4000",fontsize=16,color="magenta"];239 -> 356[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 239 -> 357[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 240 -> 63[label="",style="dashed", color="red", weight=0]; 13.65/5.26 240[label="xy3000 == xy4000",fontsize=16,color="magenta"];240 -> 358[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 240 -> 359[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 241 -> 64[label="",style="dashed", color="red", weight=0]; 13.65/5.26 241[label="xy3000 == xy4000",fontsize=16,color="magenta"];241 -> 360[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 241 -> 361[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 242 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 242[label="xy3000 == xy4000",fontsize=16,color="magenta"];242 -> 362[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 242 -> 363[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 243 -> 66[label="",style="dashed", color="red", weight=0]; 13.65/5.26 243[label="xy3000 == xy4000",fontsize=16,color="magenta"];243 -> 364[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 243 -> 365[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 244 -> 67[label="",style="dashed", color="red", weight=0]; 13.65/5.26 244[label="xy3000 == xy4000",fontsize=16,color="magenta"];244 -> 366[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 244 -> 367[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 245 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 245[label="xy3000 == xy4000",fontsize=16,color="magenta"];245 -> 368[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 245 -> 369[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 246[label="xy3000",fontsize=16,color="green",shape="box"];247[label="xy4000",fontsize=16,color="green",shape="box"];248[label="xy3000",fontsize=16,color="green",shape="box"];249[label="xy4000",fontsize=16,color="green",shape="box"];250[label="xy3000",fontsize=16,color="green",shape="box"];251[label="xy4000",fontsize=16,color="green",shape="box"];252[label="xy3000",fontsize=16,color="green",shape="box"];253[label="xy4000",fontsize=16,color="green",shape="box"];254[label="xy3000",fontsize=16,color="green",shape="box"];255[label="xy4000",fontsize=16,color="green",shape="box"];256[label="xy3000",fontsize=16,color="green",shape="box"];257[label="xy4000",fontsize=16,color="green",shape="box"];258[label="xy3000",fontsize=16,color="green",shape="box"];259[label="xy4000",fontsize=16,color="green",shape="box"];260[label="xy3000",fontsize=16,color="green",shape="box"];261[label="xy4000",fontsize=16,color="green",shape="box"];262[label="xy3000",fontsize=16,color="green",shape="box"];263[label="xy4000",fontsize=16,color="green",shape="box"];264[label="xy3000",fontsize=16,color="green",shape="box"];265[label="xy4000",fontsize=16,color="green",shape="box"];266[label="xy3000",fontsize=16,color="green",shape="box"];267[label="xy4000",fontsize=16,color="green",shape="box"];268[label="xy3000",fontsize=16,color="green",shape="box"];269[label="xy4000",fontsize=16,color="green",shape="box"];270[label="xy3000",fontsize=16,color="green",shape="box"];271[label="xy4000",fontsize=16,color="green",shape="box"];272[label="xy3000",fontsize=16,color="green",shape="box"];273[label="xy4000",fontsize=16,color="green",shape="box"];274[label="primEqNat 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820 -> 373[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 276 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 276[label="xy3001 == xy4001",fontsize=16,color="magenta"];276 -> 374[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 276 -> 375[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 277 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 277[label="xy3001 == xy4001",fontsize=16,color="magenta"];277 -> 376[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 277 -> 377[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 278 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 278[label="xy3000 == xy4000",fontsize=16,color="magenta"];278 -> 378[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 278 -> 379[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 279 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 279[label="xy3000 == xy4000",fontsize=16,color="magenta"];279 -> 380[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 279 -> 381[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 280[label="xy3002 == xy4002",fontsize=16,color="blue",shape="box"];821[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 821[label="",style="solid", color="blue", weight=9]; 13.65/5.26 821 -> 382[label="",style="solid", color="blue", weight=3]; 13.65/5.26 822[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 822[label="",style="solid", color="blue", weight=9]; 13.65/5.26 822 -> 383[label="",style="solid", color="blue", weight=3]; 13.65/5.26 823[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 823[label="",style="solid", color="blue", weight=9]; 13.65/5.26 823 -> 384[label="",style="solid", color="blue", weight=3]; 13.65/5.26 824[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 824[label="",style="solid", color="blue", weight=9]; 13.65/5.26 824 -> 385[label="",style="solid", color="blue", weight=3]; 13.65/5.26 825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 825[label="",style="solid", color="blue", weight=9]; 13.65/5.26 825 -> 386[label="",style="solid", color="blue", weight=3]; 13.65/5.26 826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 826[label="",style="solid", color="blue", weight=9]; 13.65/5.26 826 -> 387[label="",style="solid", color="blue", weight=3]; 13.65/5.26 827[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 827[label="",style="solid", color="blue", weight=9]; 13.65/5.26 827 -> 388[label="",style="solid", color="blue", weight=3]; 13.65/5.26 828[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 828[label="",style="solid", color="blue", weight=9]; 13.65/5.26 828 -> 389[label="",style="solid", color="blue", weight=3]; 13.65/5.26 829[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 829[label="",style="solid", color="blue", weight=9]; 13.65/5.26 829 -> 390[label="",style="solid", color="blue", weight=3]; 13.65/5.26 830[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 830[label="",style="solid", color="blue", weight=9]; 13.65/5.26 830 -> 391[label="",style="solid", color="blue", weight=3]; 13.65/5.26 831[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 831[label="",style="solid", color="blue", weight=9]; 13.65/5.26 831 -> 392[label="",style="solid", color="blue", weight=3]; 13.65/5.26 832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 832[label="",style="solid", color="blue", weight=9]; 13.65/5.26 832 -> 393[label="",style="solid", color="blue", weight=3]; 13.65/5.26 833[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 833[label="",style="solid", color="blue", weight=9]; 13.65/5.26 833 -> 394[label="",style="solid", color="blue", weight=3]; 13.65/5.26 834[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];280 -> 834[label="",style="solid", color="blue", weight=9]; 13.65/5.26 834 -> 395[label="",style="solid", color="blue", weight=3]; 13.65/5.26 281[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];835[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 835[label="",style="solid", color="blue", weight=9]; 13.65/5.26 835 -> 396[label="",style="solid", color="blue", weight=3]; 13.65/5.26 836[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 836[label="",style="solid", color="blue", weight=9]; 13.65/5.26 836 -> 397[label="",style="solid", color="blue", weight=3]; 13.65/5.26 837[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 837[label="",style="solid", color="blue", weight=9]; 13.65/5.26 837 -> 398[label="",style="solid", color="blue", weight=3]; 13.65/5.26 838[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 838[label="",style="solid", color="blue", weight=9]; 13.65/5.26 838 -> 399[label="",style="solid", color="blue", weight=3]; 13.65/5.26 839[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 839[label="",style="solid", color="blue", weight=9]; 13.65/5.26 839 -> 400[label="",style="solid", color="blue", weight=3]; 13.65/5.26 840[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 840[label="",style="solid", color="blue", weight=9]; 13.65/5.26 840 -> 401[label="",style="solid", color="blue", weight=3]; 13.65/5.26 841[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 841[label="",style="solid", color="blue", weight=9]; 13.65/5.26 841 -> 402[label="",style="solid", color="blue", weight=3]; 13.65/5.26 842[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 842[label="",style="solid", color="blue", weight=9]; 13.65/5.26 842 -> 403[label="",style="solid", color="blue", weight=3]; 13.65/5.26 843[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 843[label="",style="solid", color="blue", weight=9]; 13.65/5.26 843 -> 404[label="",style="solid", color="blue", weight=3]; 13.65/5.26 844[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 844[label="",style="solid", color="blue", weight=9]; 13.65/5.26 844 -> 405[label="",style="solid", color="blue", weight=3]; 13.65/5.26 845[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 845[label="",style="solid", color="blue", weight=9]; 13.65/5.26 845 -> 406[label="",style="solid", color="blue", weight=3]; 13.65/5.26 846[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 846[label="",style="solid", color="blue", weight=9]; 13.65/5.26 846 -> 407[label="",style="solid", color="blue", weight=3]; 13.65/5.26 847[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 847[label="",style="solid", color="blue", weight=9]; 13.65/5.26 847 -> 408[label="",style="solid", color="blue", weight=3]; 13.65/5.26 848[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];281 -> 848[label="",style="solid", color="blue", weight=9]; 13.65/5.26 848 -> 409[label="",style="solid", color="blue", weight=3]; 13.65/5.26 282 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 282[label="xy3000 == xy4000",fontsize=16,color="magenta"];282 -> 410[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 282 -> 411[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 283 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 283[label="xy3000 == xy4000",fontsize=16,color="magenta"];283 -> 412[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 283 -> 413[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 284 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 284[label="xy3000 == xy4000",fontsize=16,color="magenta"];284 -> 414[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 284 -> 415[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 285 -> 58[label="",style="dashed", color="red", weight=0]; 13.65/5.26 285[label="xy3000 == xy4000",fontsize=16,color="magenta"];285 -> 416[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 285 -> 417[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 286 -> 59[label="",style="dashed", color="red", weight=0]; 13.65/5.26 286[label="xy3000 == xy4000",fontsize=16,color="magenta"];286 -> 418[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 286 -> 419[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 287 -> 60[label="",style="dashed", color="red", weight=0]; 13.65/5.26 287[label="xy3000 == xy4000",fontsize=16,color="magenta"];287 -> 420[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 287 -> 421[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 288 -> 61[label="",style="dashed", color="red", weight=0]; 13.65/5.26 288[label="xy3000 == xy4000",fontsize=16,color="magenta"];288 -> 422[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 288 -> 423[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 289 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 289[label="xy3000 == xy4000",fontsize=16,color="magenta"];289 -> 424[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 289 -> 425[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 290 -> 63[label="",style="dashed", color="red", weight=0]; 13.65/5.26 290[label="xy3000 == xy4000",fontsize=16,color="magenta"];290 -> 426[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 290 -> 427[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 291 -> 64[label="",style="dashed", color="red", weight=0]; 13.65/5.26 291[label="xy3000 == xy4000",fontsize=16,color="magenta"];291 -> 428[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 291 -> 429[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 292 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 292[label="xy3000 == xy4000",fontsize=16,color="magenta"];292 -> 430[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 292 -> 431[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 293 -> 66[label="",style="dashed", color="red", weight=0]; 13.65/5.26 293[label="xy3000 == xy4000",fontsize=16,color="magenta"];293 -> 432[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 293 -> 433[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 294 -> 67[label="",style="dashed", color="red", weight=0]; 13.65/5.26 294[label="xy3000 == xy4000",fontsize=16,color="magenta"];294 -> 434[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 294 -> 435[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 295 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 295[label="xy3000 == xy4000",fontsize=16,color="magenta"];295 -> 436[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 295 -> 437[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 296[label="xy3000 * xy4001",fontsize=16,color="black",shape="triangle"];296 -> 438[label="",style="solid", color="black", weight=3]; 13.65/5.26 297 -> 296[label="",style="dashed", color="red", weight=0]; 13.65/5.26 297[label="xy3001 * xy4000",fontsize=16,color="magenta"];297 -> 439[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 297 -> 440[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 298[label="primEqInt (Pos (Succ xy30000)) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];298 -> 441[label="",style="solid", color="black", weight=3]; 13.65/5.26 299[label="primEqInt (Pos (Succ xy30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];299 -> 442[label="",style="solid", color="black", weight=3]; 13.65/5.26 300[label="False",fontsize=16,color="green",shape="box"];301[label="primEqInt (Pos Zero) (Pos 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308[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];308 -> 449[label="",style="solid", color="black", weight=3]; 13.65/5.26 309[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];309 -> 450[label="",style="solid", color="black", weight=3]; 13.65/5.26 310[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];310 -> 451[label="",style="solid", color="black", weight=3]; 13.65/5.26 311[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];311 -> 452[label="",style="solid", color="black", weight=3]; 13.65/5.26 312 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 312[label="xy3001 == xy4001",fontsize=16,color="magenta"];312 -> 453[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 312 -> 454[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 313 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 313[label="xy3001 == xy4001",fontsize=16,color="magenta"];313 -> 455[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 313 -> 456[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 314 -> 28[label="",style="dashed", color="red", weight=0]; 13.65/5.26 314[label="xy3001 == xy4001",fontsize=16,color="magenta"];314 -> 457[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 314 -> 458[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 315 -> 58[label="",style="dashed", color="red", weight=0]; 13.65/5.26 315[label="xy3001 == xy4001",fontsize=16,color="magenta"];315 -> 459[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 315 -> 460[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 316 -> 59[label="",style="dashed", color="red", weight=0]; 13.65/5.26 316[label="xy3001 == xy4001",fontsize=16,color="magenta"];316 -> 461[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 316 -> 462[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 317 -> 60[label="",style="dashed", color="red", weight=0]; 13.65/5.26 317[label="xy3001 == xy4001",fontsize=16,color="magenta"];317 -> 463[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 317 -> 464[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 318 -> 61[label="",style="dashed", color="red", weight=0]; 13.65/5.26 318[label="xy3001 == xy4001",fontsize=16,color="magenta"];318 -> 465[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 318 -> 466[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 319 -> 62[label="",style="dashed", color="red", weight=0]; 13.65/5.26 319[label="xy3001 == xy4001",fontsize=16,color="magenta"];319 -> 467[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 319 -> 468[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 320 -> 63[label="",style="dashed", color="red", weight=0]; 13.65/5.26 320[label="xy3001 == xy4001",fontsize=16,color="magenta"];320 -> 469[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 320 -> 470[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 321 -> 64[label="",style="dashed", color="red", weight=0]; 13.65/5.26 321[label="xy3001 == xy4001",fontsize=16,color="magenta"];321 -> 471[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 321 -> 472[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 322 -> 65[label="",style="dashed", color="red", weight=0]; 13.65/5.26 322[label="xy3001 == xy4001",fontsize=16,color="magenta"];322 -> 473[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 322 -> 474[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 323 -> 66[label="",style="dashed", color="red", weight=0]; 13.65/5.26 323[label="xy3001 == xy4001",fontsize=16,color="magenta"];323 -> 475[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 323 -> 476[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 324 -> 67[label="",style="dashed", color="red", weight=0]; 13.65/5.26 324[label="xy3001 == xy4001",fontsize=16,color="magenta"];324 -> 477[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 324 -> 478[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 325 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 325[label="xy3001 == xy4001",fontsize=16,color="magenta"];325 -> 479[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 325 -> 480[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 326 -> 55[label="",style="dashed", color="red", weight=0]; 13.65/5.26 326[label="xy3000 == xy4000",fontsize=16,color="magenta"];326 -> 481[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 326 -> 482[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 327 -> 56[label="",style="dashed", color="red", weight=0]; 13.65/5.26 327[label="xy3000 == xy4000",fontsize=16,color="magenta"];327 -> 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weight=0]; 13.65/5.26 338[label="xy3000 == xy4000",fontsize=16,color="magenta"];338 -> 505[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 338 -> 506[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 339 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 339[label="xy3000 == xy4000",fontsize=16,color="magenta"];339 -> 507[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 339 -> 508[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 340 -> 296[label="",style="dashed", color="red", weight=0]; 13.65/5.26 340[label="xy3000 * xy4001",fontsize=16,color="magenta"];340 -> 509[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 340 -> 510[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 341 -> 296[label="",style="dashed", color="red", weight=0]; 13.65/5.26 341[label="xy3001 * xy4000",fontsize=16,color="magenta"];341 -> 511[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 341 -> 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weight=3]; 13.65/5.26 409 -> 68[label="",style="dashed", color="red", weight=0]; 13.65/5.26 409[label="xy3001 == xy4001",fontsize=16,color="magenta"];409 -> 571[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 409 -> 572[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 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xy3000 xy4001",fontsize=16,color="burlywood",shape="box"];849[label="xy3000/Pos xy30000",fontsize=10,color="white",style="solid",shape="box"];438 -> 849[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 849 -> 573[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 850[label="xy3000/Neg xy30000",fontsize=10,color="white",style="solid",shape="box"];438 -> 850[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 850 -> 574[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 439[label="xy3001",fontsize=16,color="green",shape="box"];440[label="xy4000",fontsize=16,color="green",shape="box"];441 -> 211[label="",style="dashed", color="red", weight=0]; 13.65/5.26 441[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];441 -> 575[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 441 -> 576[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 442[label="False",fontsize=16,color="green",shape="box"];443[label="False",fontsize=16,color="green",shape="box"];444[label="True",fontsize=16,color="green",shape="box"];445[label="False",fontsize=16,color="green",shape="box"];446[label="True",fontsize=16,color="green",shape="box"];447 -> 211[label="",style="dashed", color="red", weight=0]; 13.65/5.26 447[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];447 -> 577[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 447 -> 578[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 448[label="False",fontsize=16,color="green",shape="box"];449[label="False",fontsize=16,color="green",shape="box"];450[label="True",fontsize=16,color="green",shape="box"];451[label="False",fontsize=16,color="green",shape="box"];452[label="True",fontsize=16,color="green",shape="box"];453[label="xy3001",fontsize=16,color="green",shape="box"];454[label="xy4001",fontsize=16,color="green",shape="box"];455[label="xy3001",fontsize=16,color="green",shape="box"];456[label="xy4001",fontsize=16,color="green",shape="box"];457[label="xy3001",fontsize=16,color="green",shape="box"];458[label="xy4001",fontsize=16,color="green",shape="box"];459[label="xy3001",fontsize=16,color="green",shape="box"];460[label="xy4001",fontsize=16,color="green",shape="box"];461[label="xy3001",fontsize=16,color="green",shape="box"];462[label="xy4001",fontsize=16,color="green",shape="box"];463[label="xy3001",fontsize=16,color="green",shape="box"];464[label="xy4001",fontsize=16,color="green",shape="box"];465[label="xy3001",fontsize=16,color="green",shape="box"];466[label="xy4001",fontsize=16,color="green",shape="box"];467[label="xy3001",fontsize=16,color="green",shape="box"];468[label="xy4001",fontsize=16,color="green",shape="box"];469[label="xy3001",fontsize=16,color="green",shape="box"];470[label="xy4001",fontsize=16,color="green",shape="box"];471[label="xy3001",fontsize=16,color="green",shape="box"];472[label="xy4001",fontsize=16,color="green",shape="box"];473[label="xy3001",fontsize=16,color="green",shape="box"];474[label="xy4001",fontsize=16,color="green",shape="box"];475[label="xy3001",fontsize=16,color="green",shape="box"];476[label="xy4001",fontsize=16,color="green",shape="box"];477[label="xy3001",fontsize=16,color="green",shape="box"];478[label="xy4001",fontsize=16,color="green",shape="box"];479[label="xy3001",fontsize=16,color="green",shape="box"];480[label="xy4001",fontsize=16,color="green",shape="box"];481[label="xy3000",fontsize=16,color="green",shape="box"];482[label="xy4000",fontsize=16,color="green",shape="box"];483[label="xy3000",fontsize=16,color="green",shape="box"];484[label="xy4000",fontsize=16,color="green",shape="box"];485[label="xy3000",fontsize=16,color="green",shape="box"];486[label="xy4000",fontsize=16,color="green",shape="box"];487[label="xy3000",fontsize=16,color="green",shape="box"];488[label="xy4000",fontsize=16,color="green",shape="box"];489[label="xy3000",fontsize=16,color="green",shape="box"];490[label="xy4000",fontsize=16,color="green",shape="box"];491[label="xy3000",fontsize=16,color="green",shape="box"];492[label="xy4000",fontsize=16,color="green",shape="box"];493[label="xy3000",fontsize=16,color="green",shape="box"];494[label="xy4000",fontsize=16,color="green",shape="box"];495[label="xy3000",fontsize=16,color="green",shape="box"];496[label="xy4000",fontsize=16,color="green",shape="box"];497[label="xy3000",fontsize=16,color="green",shape="box"];498[label="xy4000",fontsize=16,color="green",shape="box"];499[label="xy3000",fontsize=16,color="green",shape="box"];500[label="xy4000",fontsize=16,color="green",shape="box"];501[label="xy3000",fontsize=16,color="green",shape="box"];502[label="xy4000",fontsize=16,color="green",shape="box"];503[label="xy3000",fontsize=16,color="green",shape="box"];504[label="xy4000",fontsize=16,color="green",shape="box"];505[label="xy3000",fontsize=16,color="green",shape="box"];506[label="xy4000",fontsize=16,color="green",shape="box"];507[label="xy3000",fontsize=16,color="green",shape="box"];508[label="xy4000",fontsize=16,color="green",shape="box"];509[label="xy3000",fontsize=16,color="green",shape="box"];510[label="xy4001",fontsize=16,color="green",shape="box"];511[label="xy3001",fontsize=16,color="green",shape="box"];512[label="xy4000",fontsize=16,color="green",shape="box"];513 -> 211[label="",style="dashed", color="red", weight=0]; 13.65/5.26 513[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];513 -> 579[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 513 -> 580[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 514[label="False",fontsize=16,color="green",shape="box"];515[label="False",fontsize=16,color="green",shape="box"];516[label="True",fontsize=16,color="green",shape="box"];517[label="xy3002",fontsize=16,color="green",shape="box"];518[label="xy4002",fontsize=16,color="green",shape="box"];519[label="xy3002",fontsize=16,color="green",shape="box"];520[label="xy4002",fontsize=16,color="green",shape="box"];521[label="xy3002",fontsize=16,color="green",shape="box"];522[label="xy4002",fontsize=16,color="green",shape="box"];523[label="xy3002",fontsize=16,color="green",shape="box"];524[label="xy4002",fontsize=16,color="green",shape="box"];525[label="xy3002",fontsize=16,color="green",shape="box"];526[label="xy4002",fontsize=16,color="green",shape="box"];527[label="xy3002",fontsize=16,color="green",shape="box"];528[label="xy4002",fontsize=16,color="green",shape="box"];529[label="xy3002",fontsize=16,color="green",shape="box"];530[label="xy4002",fontsize=16,color="green",shape="box"];531[label="xy3002",fontsize=16,color="green",shape="box"];532[label="xy4002",fontsize=16,color="green",shape="box"];533[label="xy3002",fontsize=16,color="green",shape="box"];534[label="xy4002",fontsize=16,color="green",shape="box"];535[label="xy3002",fontsize=16,color="green",shape="box"];536[label="xy4002",fontsize=16,color="green",shape="box"];537[label="xy3002",fontsize=16,color="green",shape="box"];538[label="xy4002",fontsize=16,color="green",shape="box"];539[label="xy3002",fontsize=16,color="green",shape="box"];540[label="xy4002",fontsize=16,color="green",shape="box"];541[label="xy3002",fontsize=16,color="green",shape="box"];542[label="xy4002",fontsize=16,color="green",shape="box"];543[label="xy3002",fontsize=16,color="green",shape="box"];544[label="xy4002",fontsize=16,color="green",shape="box"];545[label="xy3001",fontsize=16,color="green",shape="box"];546[label="xy4001",fontsize=16,color="green",shape="box"];547[label="xy3001",fontsize=16,color="green",shape="box"];548[label="xy4001",fontsize=16,color="green",shape="box"];549[label="xy3001",fontsize=16,color="green",shape="box"];550[label="xy4001",fontsize=16,color="green",shape="box"];551[label="xy3001",fontsize=16,color="green",shape="box"];552[label="xy4001",fontsize=16,color="green",shape="box"];553[label="xy3001",fontsize=16,color="green",shape="box"];554[label="xy4001",fontsize=16,color="green",shape="box"];555[label="xy3001",fontsize=16,color="green",shape="box"];556[label="xy4001",fontsize=16,color="green",shape="box"];557[label="xy3001",fontsize=16,color="green",shape="box"];558[label="xy4001",fontsize=16,color="green",shape="box"];559[label="xy3001",fontsize=16,color="green",shape="box"];560[label="xy4001",fontsize=16,color="green",shape="box"];561[label="xy3001",fontsize=16,color="green",shape="box"];562[label="xy4001",fontsize=16,color="green",shape="box"];563[label="xy3001",fontsize=16,color="green",shape="box"];564[label="xy4001",fontsize=16,color="green",shape="box"];565[label="xy3001",fontsize=16,color="green",shape="box"];566[label="xy4001",fontsize=16,color="green",shape="box"];567[label="xy3001",fontsize=16,color="green",shape="box"];568[label="xy4001",fontsize=16,color="green",shape="box"];569[label="xy3001",fontsize=16,color="green",shape="box"];570[label="xy4001",fontsize=16,color="green",shape="box"];571[label="xy3001",fontsize=16,color="green",shape="box"];572[label="xy4001",fontsize=16,color="green",shape="box"];573[label="primMulInt (Pos xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];851[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];573 -> 851[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 851 -> 581[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 852[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];573 -> 852[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 852 -> 582[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 574[label="primMulInt (Neg xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];853[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];574 -> 853[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 853 -> 583[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 854[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];574 -> 854[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 854 -> 584[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 575[label="xy30000",fontsize=16,color="green",shape="box"];576[label="xy40000",fontsize=16,color="green",shape="box"];577[label="xy30000",fontsize=16,color="green",shape="box"];578[label="xy40000",fontsize=16,color="green",shape="box"];579[label="xy30000",fontsize=16,color="green",shape="box"];580[label="xy40000",fontsize=16,color="green",shape="box"];581[label="primMulInt (Pos xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];581 -> 585[label="",style="solid", color="black", weight=3]; 13.65/5.26 582[label="primMulInt (Pos xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];582 -> 586[label="",style="solid", color="black", weight=3]; 13.65/5.26 583[label="primMulInt (Neg xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];583 -> 587[label="",style="solid", color="black", weight=3]; 13.65/5.26 584[label="primMulInt (Neg xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];584 -> 588[label="",style="solid", color="black", weight=3]; 13.65/5.26 585[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];585 -> 589[label="",style="dashed", color="green", weight=3]; 13.65/5.26 586[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];586 -> 590[label="",style="dashed", color="green", weight=3]; 13.65/5.26 587[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];587 -> 591[label="",style="dashed", color="green", weight=3]; 13.65/5.26 588[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];588 -> 592[label="",style="dashed", color="green", weight=3]; 13.65/5.26 589[label="primMulNat xy30000 xy40010",fontsize=16,color="burlywood",shape="triangle"];855[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];589 -> 855[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 855 -> 593[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 856[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];589 -> 856[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 856 -> 594[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 590 -> 589[label="",style="dashed", color="red", weight=0]; 13.65/5.26 590[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];590 -> 595[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 591 -> 589[label="",style="dashed", color="red", weight=0]; 13.65/5.26 591[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];591 -> 596[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 592 -> 589[label="",style="dashed", color="red", weight=0]; 13.65/5.26 592[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];592 -> 597[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 592 -> 598[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 593[label="primMulNat (Succ xy300000) xy40010",fontsize=16,color="burlywood",shape="box"];857[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];593 -> 857[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 857 -> 599[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 858[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];593 -> 858[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 858 -> 600[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 594[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];859[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];594 -> 859[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 859 -> 601[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 860[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];594 -> 860[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 860 -> 602[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 595[label="xy40010",fontsize=16,color="green",shape="box"];596[label="xy30000",fontsize=16,color="green",shape="box"];597[label="xy30000",fontsize=16,color="green",shape="box"];598[label="xy40010",fontsize=16,color="green",shape="box"];599[label="primMulNat (Succ xy300000) (Succ xy400100)",fontsize=16,color="black",shape="box"];599 -> 603[label="",style="solid", color="black", weight=3]; 13.65/5.26 600[label="primMulNat (Succ xy300000) Zero",fontsize=16,color="black",shape="box"];600 -> 604[label="",style="solid", color="black", weight=3]; 13.65/5.26 601[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];601 -> 605[label="",style="solid", color="black", weight=3]; 13.65/5.26 602[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3]; 13.65/5.26 603 -> 607[label="",style="dashed", color="red", weight=0]; 13.65/5.26 603[label="primPlusNat (primMulNat xy300000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];603 -> 608[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 604[label="Zero",fontsize=16,color="green",shape="box"];605[label="Zero",fontsize=16,color="green",shape="box"];606[label="Zero",fontsize=16,color="green",shape="box"];608 -> 589[label="",style="dashed", color="red", weight=0]; 13.65/5.26 608[label="primMulNat xy300000 (Succ xy400100)",fontsize=16,color="magenta"];608 -> 609[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 608 -> 610[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 607[label="primPlusNat xy11 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];861[label="xy11/Succ xy110",fontsize=10,color="white",style="solid",shape="box"];607 -> 861[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 861 -> 611[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 862[label="xy11/Zero",fontsize=10,color="white",style="solid",shape="box"];607 -> 862[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 862 -> 612[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 609[label="xy300000",fontsize=16,color="green",shape="box"];610[label="Succ xy400100",fontsize=16,color="green",shape="box"];611[label="primPlusNat (Succ xy110) (Succ xy400100)",fontsize=16,color="black",shape="box"];611 -> 613[label="",style="solid", color="black", weight=3]; 13.65/5.26 612[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];612 -> 614[label="",style="solid", color="black", weight=3]; 13.65/5.26 613[label="Succ (Succ (primPlusNat xy110 xy400100))",fontsize=16,color="green",shape="box"];613 -> 615[label="",style="dashed", color="green", weight=3]; 13.65/5.26 614[label="Succ xy400100",fontsize=16,color="green",shape="box"];615[label="primPlusNat xy110 xy400100",fontsize=16,color="burlywood",shape="triangle"];863[label="xy110/Succ xy1100",fontsize=10,color="white",style="solid",shape="box"];615 -> 863[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 863 -> 616[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 864[label="xy110/Zero",fontsize=10,color="white",style="solid",shape="box"];615 -> 864[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 864 -> 617[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 616[label="primPlusNat (Succ xy1100) xy400100",fontsize=16,color="burlywood",shape="box"];865[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];616 -> 865[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 865 -> 618[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 866[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];616 -> 866[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 866 -> 619[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 617[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];867[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];617 -> 867[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 867 -> 620[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 868[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];617 -> 868[label="",style="solid", color="burlywood", weight=9]; 13.65/5.26 868 -> 621[label="",style="solid", color="burlywood", weight=3]; 13.65/5.26 618[label="primPlusNat (Succ xy1100) (Succ xy4001000)",fontsize=16,color="black",shape="box"];618 -> 622[label="",style="solid", color="black", weight=3]; 13.65/5.26 619[label="primPlusNat (Succ xy1100) Zero",fontsize=16,color="black",shape="box"];619 -> 623[label="",style="solid", color="black", weight=3]; 13.65/5.26 620[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];620 -> 624[label="",style="solid", color="black", weight=3]; 13.65/5.26 621[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3]; 13.65/5.26 622[label="Succ (Succ (primPlusNat xy1100 xy4001000))",fontsize=16,color="green",shape="box"];622 -> 626[label="",style="dashed", color="green", weight=3]; 13.65/5.26 623[label="Succ xy1100",fontsize=16,color="green",shape="box"];624[label="Succ xy4001000",fontsize=16,color="green",shape="box"];625[label="Zero",fontsize=16,color="green",shape="box"];626 -> 615[label="",style="dashed", color="red", weight=0]; 13.65/5.26 626[label="primPlusNat xy1100 xy4001000",fontsize=16,color="magenta"];626 -> 627[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 626 -> 628[label="",style="dashed", color="magenta", weight=3]; 13.65/5.26 627[label="xy1100",fontsize=16,color="green",shape="box"];628[label="xy4001000",fontsize=16,color="green",shape="box"];} 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (6) 13.65/5.26 Complex Obligation (AND) 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (7) 13.65/5.26 Obligation: 13.65/5.26 Q DP problem: 13.65/5.26 The TRS P consists of the following rules: 13.65/5.26 13.65/5.26 new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb) 13.65/5.26 13.65/5.26 R is empty. 13.65/5.26 Q is empty. 13.65/5.26 We have to consider all minimal (P,Q,R)-chains. 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (8) QDPSizeChangeProof (EQUIVALENT) 13.65/5.26 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. 13.65/5.26 13.65/5.26 From the DPs we obtained the following set of size-change graphs: 13.65/5.26 *new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb) 13.65/5.26 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3, 4 >= 4 13.65/5.26 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (9) 13.65/5.26 YES 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (10) 13.65/5.26 Obligation: 13.65/5.26 Q DP problem: 13.65/5.26 The TRS P consists of the following rules: 13.65/5.26 13.65/5.26 new_primMulNat(Succ(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100)) 13.65/5.26 13.65/5.26 R is empty. 13.65/5.26 Q is empty. 13.65/5.26 We have to consider all minimal (P,Q,R)-chains. 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (11) QDPSizeChangeProof (EQUIVALENT) 13.65/5.26 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. 13.65/5.26 13.65/5.26 From the DPs we obtained the following set of size-change graphs: 13.65/5.26 *new_primMulNat(Succ(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100)) 13.65/5.26 The graph contains the following edges 1 > 1, 2 >= 2 13.65/5.26 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (12) 13.65/5.26 YES 13.65/5.26 13.65/5.26 ---------------------------------------- 13.65/5.26 13.65/5.26 (13) 13.65/5.26 Obligation: 13.65/5.26 Q DP problem: 13.65/5.26 The TRS P consists of the following rules: 13.65/5.26 13.65/5.26 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(ty_[], bb)), cc) -> new_esEs(xy3000, xy4000, bb) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(ty_@2, gd), ge)), fd), cc) -> new_esEs3(xy3001, xy4001, gd, ge) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(ty_[], eb)), cc) -> new_esEs(xy3002, xy4002, eb) 13.65/5.26 new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(ty_[], cf)), cc) -> new_esEs(xy3000, xy4000, cf) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, bbc), bbd), bbb) -> new_esEs0(xy3000, xy4000, bbc, bbd) 13.65/5.26 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, ca), cb)) -> new_esEs3(xy3000, xy4000, ca, cb) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(app(ty_@3, ef), eg), eh)), cc) -> new_esEs2(xy3002, xy4002, ef, eg, eh) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(ty_[], eb)) -> new_esEs(xy3002, xy4002, eb) 13.65/5.26 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, be)) -> new_esEs1(xy3000, xy4000, be) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(ty_@2, bag), bah)), cc) -> new_esEs3(xy3001, xy4001, bag, bah) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(ty_[], fc), fd) -> new_esEs(xy3001, xy4001, fc) 13.65/5.26 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bb)) -> new_esEs(xy3000, xy4000, bb) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(ty_@2, gd), ge), fd) -> new_esEs3(xy3001, xy4001, gd, ge) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], gf), ea, fd) -> new_esEs(xy3000, xy4000, gf) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, bbe), bbb) -> new_esEs1(xy3000, xy4000, bbe) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(app(ty_@3, ga), gb), gc), fd) -> new_esEs2(xy3001, xy4001, ga, gb, gc) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(ty_Maybe, bac)) -> new_esEs1(xy3001, xy4001, bac) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(ty_Maybe, bac)), cc) -> new_esEs1(xy3001, xy4001, bac) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, hb), hc), hd), ea, fd) -> new_esEs2(xy3000, xy4000, hb, hc, hd) 13.65/5.26 new_esEs0(Left(xy300), Left(xy400), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xy300, xy400, cd, ce) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(ty_@2, fa), fb)), cc) -> new_esEs3(xy3002, xy4002, fa, fb) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(ty_Either, ec), ed)) -> new_esEs0(xy3002, xy4002, ec, ed) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(ty_Either, ec), ed)), cc) -> new_esEs0(xy3002, xy4002, ec, ed) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(ty_[], fc)), fd), cc) -> new_esEs(xy3001, xy4001, fc) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, bbf), bbg), bbh), bbb) -> new_esEs2(xy3000, xy4000, bbf, bbg, bbh) 13.65/5.26 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, be)), cc) -> new_esEs1(xy3000, xy4000, be) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], bba), bbb) -> new_esEs(xy3000, xy4000, bba) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, ha)), ea), fd), cc) -> new_esEs1(xy3000, xy4000, ha) 13.65/5.26 new_esEs0(Right(xy300), Right(xy400), bcc, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xy300, xy400, bch, bda, bdb) 13.65/5.26 new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(app(ty_@3, dc), dd), de)), cc) -> new_esEs2(xy3000, xy4000, dc, dd, de) 13.65/5.26 new_esEs1(Just(xy3000), Just(xy4000), app(ty_Maybe, db)) -> new_esEs1(xy3000, xy4000, db) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(app(ty_@3, bad), bae), baf)) -> new_esEs2(xy3001, xy4001, bad, bae, baf) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], bba)), bbb), cc) -> new_esEs(xy3000, xy4000, bba) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, he), hf)), ea), fd), cc) -> new_esEs3(xy3000, xy4000, he, hf) 13.65/5.26 new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_Either, cg), da)) -> new_esEs0(xy3000, xy4000, cg, da) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(ty_Either, baa), bab)) -> new_esEs0(xy3001, xy4001, baa, bab) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(ty_Maybe, fh)), fd), cc) -> new_esEs1(xy3001, xy4001, fh) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(ty_@2, fa), fb)) -> new_esEs3(xy3002, xy4002, fa, fb) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(ty_Either, ff), fg)), fd), cc) -> new_esEs0(xy3001, xy4001, ff, fg) 13.65/5.26 new_esEs0(Right(xy300), Right(xy400), bcc, app(app(ty_Either, bce), bcf)) -> new_esEs0(xy300, xy400, bce, bcf) 13.65/5.26 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), ba) -> new_esEs(xy3001, xy4001, ba) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, ha), ea, fd) -> new_esEs1(xy3000, xy4000, ha) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, hb), hc), hd)), ea), fd), cc) -> new_esEs2(xy3000, xy4000, hb, hc, hd) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(ty_Maybe, fh), fd) -> new_esEs1(xy3001, xy4001, fh) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(ty_Maybe, ee)), cc) -> new_esEs1(xy3002, xy4002, ee) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, he), hf), ea, fd) -> new_esEs3(xy3000, xy4000, he, hf) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(ty_[], hh)), cc) -> new_esEs(xy3001, xy4001, hh) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(ty_Maybe, ee)) -> new_esEs1(xy3002, xy4002, ee) 13.65/5.26 new_esEs0(Right(xy300), Right(xy400), bcc, app(ty_[], bcd)) -> new_esEs(xy300, xy400, bcd) 13.65/5.26 new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_@2, df), dg)) -> new_esEs3(xy3000, xy4000, df, dg) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(ty_@2, bag), bah)) -> new_esEs3(xy3001, xy4001, bag, bah) 13.65/5.26 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], ba), cc) -> new_esEs(xy3001, xy4001, ba) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, bbf), bbg), bbh)), bbb), cc) -> new_esEs2(xy3000, xy4000, bbf, bbg, bbh) 13.65/5.26 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, bc), bd)), cc) -> new_esEs0(xy3000, xy4000, bc, bd) 13.65/5.26 new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(ty_Either, cg), da)), cc) -> new_esEs0(xy3000, xy4000, cg, da) 13.65/5.26 new_esEs0(Right(xy300), Right(xy400), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy300, xy400, bdc, bdd) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(ty_Either, ff), fg), fd) -> new_esEs0(xy3001, xy4001, ff, fg) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, bbe)), bbb), cc) -> new_esEs1(xy3000, xy4000, bbe) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], gf)), ea), fd), cc) -> new_esEs(xy3000, xy4000, gf) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, gg), gh), ea, fd) -> new_esEs0(xy3000, xy4000, gg, gh) 13.65/5.26 new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(ty_Maybe, db)), cc) -> new_esEs1(xy3000, xy4000, db) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, bca), bcb), bbb) -> new_esEs3(xy3000, xy4000, bca, bcb) 13.65/5.26 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, gg), gh)), ea), fd), cc) -> new_esEs0(xy3000, xy4000, gg, gh) 13.65/5.26 new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(ty_[], hh)) -> new_esEs(xy3001, xy4001, hh) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, bbc), bbd)), bbb), cc) -> new_esEs0(xy3000, xy4000, bbc, bbd) 13.65/5.26 new_esEs0(Right(xy300), Right(xy400), bcc, app(ty_Maybe, bcg)) -> new_esEs1(xy300, xy400, bcg) 13.65/5.26 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bc), bd)) -> new_esEs0(xy3000, xy4000, bc, bd) 13.65/5.26 new_esEs1(Just(xy3000), Just(xy4000), app(ty_[], cf)) -> new_esEs(xy3000, xy4000, cf) 13.65/5.26 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, ca), cb)), cc) -> new_esEs3(xy3000, xy4000, ca, cb) 13.65/5.26 new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs2(xy3002, xy4002, ef, eg, eh) 13.65/5.26 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(ty_Either, baa), bab)), cc) -> new_esEs0(xy3001, xy4001, baa, bab) 13.65/5.26 new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(ty_@2, df), dg)), cc) -> new_esEs3(xy3000, xy4000, df, dg) 13.65/5.27 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, bca), bcb)), bbb), cc) -> new_esEs3(xy3000, xy4000, bca, bcb) 13.65/5.27 new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(app(ty_@3, ga), gb), gc)), fd), cc) -> new_esEs2(xy3001, xy4001, ga, gb, gc) 13.65/5.27 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs2(xy3000, xy4000, bf, bg, bh) 13.65/5.27 new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(app(ty_@3, bad), bae), baf)), cc) -> new_esEs2(xy3001, xy4001, bad, bae, baf) 13.65/5.27 new_esEs1(Just(xy3000), Just(xy4000), app(app(app(ty_@3, dc), dd), de)) -> new_esEs2(xy3000, xy4000, dc, dd, de) 13.65/5.27 new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, bf), bg), bh)), cc) -> new_esEs2(xy3000, xy4000, bf, bg, bh) 13.65/5.27 13.65/5.27 R is empty. 13.65/5.27 Q is empty. 13.65/5.27 We have to consider all minimal (P,Q,R)-chains. 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (14) QDPSizeChangeProof (EQUIVALENT) 13.65/5.27 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. 13.65/5.27 13.65/5.27 From the DPs we obtained the following set of size-change graphs: 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bc), bd)) -> new_esEs0(xy3000, xy4000, bc, bd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, ca), cb)) -> new_esEs3(xy3000, xy4000, ca, cb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_Either, cg), da)) -> new_esEs0(xy3000, xy4000, cg, da) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_@2, df), dg)) -> new_esEs3(xy3000, xy4000, df, dg) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs1(Just(xy3000), Just(xy4000), app(ty_[], cf)) -> new_esEs(xy3000, xy4000, cf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bf), bg), bh)) -> new_esEs2(xy3000, xy4000, bf, bg, bh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, be)) -> new_esEs1(xy3000, xy4000, be) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs1(Just(xy3000), Just(xy4000), app(app(app(ty_@3, dc), dd), de)) -> new_esEs2(xy3000, xy4000, dc, dd, de) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs1(Just(xy3000), Just(xy4000), app(ty_Maybe, db)) -> new_esEs1(xy3000, xy4000, db) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bb)) -> new_esEs(xy3000, xy4000, bb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), ba) -> new_esEs(xy3001, xy4001, ba) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, bbc), bbd), bbb) -> new_esEs0(xy3000, xy4000, bbc, bbd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(ty_Either, baa), bab)) -> new_esEs0(xy3001, xy4001, baa, bab) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(xy300), Left(xy400), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xy300, xy400, cd, ce) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(ty_Either, ec), ed)), cc) -> new_esEs0(xy3002, xy4002, ec, ed) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(ty_Either, ff), fg)), fd), cc) -> new_esEs0(xy3001, xy4001, ff, fg) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Right(xy300), Right(xy400), bcc, app(app(ty_Either, bce), bcf)) -> new_esEs0(xy300, xy400, bce, bcf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, bc), bd)), cc) -> new_esEs0(xy3000, xy4000, bc, bd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(ty_Either, cg), da)), cc) -> new_esEs0(xy3000, xy4000, cg, da) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, gg), gh)), ea), fd), cc) -> new_esEs0(xy3000, xy4000, gg, gh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, bbc), bbd)), bbb), cc) -> new_esEs0(xy3000, xy4000, bbc, bbd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(ty_Either, baa), bab)), cc) -> new_esEs0(xy3001, xy4001, baa, bab) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(ty_Either, ec), ed)) -> new_esEs0(xy3002, xy4002, ec, ed) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(ty_Either, ff), fg), fd) -> new_esEs0(xy3001, xy4001, ff, fg) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, gg), gh), ea, fd) -> new_esEs0(xy3000, xy4000, gg, gh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(ty_@2, bag), bah)) -> new_esEs3(xy3001, xy4001, bag, bah) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, bca), bcb), bbb) -> new_esEs3(xy3000, xy4000, bca, bcb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], bba), bbb) -> new_esEs(xy3000, xy4000, bba) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(ty_[], hh)) -> new_esEs(xy3001, xy4001, hh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, bbf), bbg), bbh), bbb) -> new_esEs2(xy3000, xy4000, bbf, bbg, bbh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(app(app(ty_@3, bad), bae), baf)) -> new_esEs2(xy3001, xy4001, bad, bae, baf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, bbe), bbb) -> new_esEs1(xy3000, xy4000, bbe) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs3(@2(xy3000, xy3001), @2(xy4000, xy4001), hg, app(ty_Maybe, bac)) -> new_esEs1(xy3001, xy4001, bac) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(ty_@2, gd), ge)), fd), cc) -> new_esEs3(xy3001, xy4001, gd, ge) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(ty_@2, bag), bah)), cc) -> new_esEs3(xy3001, xy4001, bag, bah) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(ty_@2, fa), fb)), cc) -> new_esEs3(xy3002, xy4002, fa, fb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, he), hf)), ea), fd), cc) -> new_esEs3(xy3000, xy4000, he, hf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Right(xy300), Right(xy400), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy300, xy400, bdc, bdd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, ca), cb)), cc) -> new_esEs3(xy3000, xy4000, ca, cb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(ty_@2, df), dg)), cc) -> new_esEs3(xy3000, xy4000, df, dg) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, bca), bcb)), bbb), cc) -> new_esEs3(xy3000, xy4000, bca, bcb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(ty_[], bb)), cc) -> new_esEs(xy3000, xy4000, bb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(ty_[], eb)), cc) -> new_esEs(xy3002, xy4002, eb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(ty_[], cf)), cc) -> new_esEs(xy3000, xy4000, cf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(ty_[], fc)), fd), cc) -> new_esEs(xy3001, xy4001, fc) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], bba)), bbb), cc) -> new_esEs(xy3000, xy4000, bba) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(ty_[], hh)), cc) -> new_esEs(xy3001, xy4001, hh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Right(xy300), Right(xy400), bcc, app(ty_[], bcd)) -> new_esEs(xy300, xy400, bcd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], ba), cc) -> new_esEs(xy3001, xy4001, ba) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], gf)), ea), fd), cc) -> new_esEs(xy3000, xy4000, gf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(app(app(ty_@3, ef), eg), eh)), cc) -> new_esEs2(xy3002, xy4002, ef, eg, eh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Right(xy300), Right(xy400), bcc, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xy300, xy400, bch, bda, bdb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(app(app(ty_@3, dc), dd), de)), cc) -> new_esEs2(xy3000, xy4000, dc, dd, de) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, hb), hc), hd)), ea), fd), cc) -> new_esEs2(xy3000, xy4000, hb, hc, hd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, bbf), bbg), bbh)), bbb), cc) -> new_esEs2(xy3000, xy4000, bbf, bbg, bbh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(app(app(ty_@3, ga), gb), gc)), fd), cc) -> new_esEs2(xy3001, xy4001, ga, gb, gc) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(app(app(ty_@3, bad), bae), baf)), cc) -> new_esEs2(xy3001, xy4001, bad, bae, baf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, bf), bg), bh)), cc) -> new_esEs2(xy3000, xy4000, bf, bg, bh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, hg), app(ty_Maybe, bac)), cc) -> new_esEs1(xy3001, xy4001, bac) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(:(xy3000, xy3001)), Left(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, be)), cc) -> new_esEs1(xy3000, xy4000, be) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, ha)), ea), fd), cc) -> new_esEs1(xy3000, xy4000, ha) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), app(ty_Maybe, fh)), fd), cc) -> new_esEs1(xy3001, xy4001, fh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@3(xy3000, xy3001, xy3002)), Left(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, dh), ea), app(ty_Maybe, ee)), cc) -> new_esEs1(xy3002, xy4002, ee) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(@2(xy3000, xy3001)), Left(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, bbe)), bbb), cc) -> new_esEs1(xy3000, xy4000, bbe) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Left(Just(xy3000)), Left(Just(xy4000)), app(ty_Maybe, app(ty_Maybe, db)), cc) -> new_esEs1(xy3000, xy4000, db) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs0(Right(xy300), Right(xy400), bcc, app(ty_Maybe, bcg)) -> new_esEs1(xy300, xy400, bcg) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(ty_@2, gd), ge), fd) -> new_esEs3(xy3001, xy4001, gd, ge) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(ty_@2, fa), fb)) -> new_esEs3(xy3002, xy4002, fa, fb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, he), hf), ea, fd) -> new_esEs3(xy3000, xy4000, he, hf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(ty_[], eb)) -> new_esEs(xy3002, xy4002, eb) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(ty_[], fc), fd) -> new_esEs(xy3001, xy4001, fc) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], gf), ea, fd) -> new_esEs(xy3000, xy4000, gf) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(app(app(ty_@3, ga), gb), gc), fd) -> new_esEs2(xy3001, xy4001, ga, gb, gc) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, hb), hc), hd), ea, fd) -> new_esEs2(xy3000, xy4000, hb, hc, hd) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(app(app(ty_@3, ef), eg), eh)) -> new_esEs2(xy3002, xy4002, ef, eg, eh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, ha), ea, fd) -> new_esEs1(xy3000, xy4000, ha) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, app(ty_Maybe, fh), fd) -> new_esEs1(xy3001, xy4001, fh) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.65/5.27 13.65/5.27 13.65/5.27 *new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), dh, ea, app(ty_Maybe, ee)) -> new_esEs1(xy3002, xy4002, ee) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.65/5.27 13.65/5.27 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (15) 13.65/5.27 YES 13.65/5.27 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (16) 13.65/5.27 Obligation: 13.65/5.27 Q DP problem: 13.65/5.27 The TRS P consists of the following rules: 13.65/5.27 13.65/5.27 new_primPlusNat(Succ(xy1100), Succ(xy4001000)) -> new_primPlusNat(xy1100, xy4001000) 13.65/5.27 13.65/5.27 R is empty. 13.65/5.27 Q is empty. 13.65/5.27 We have to consider all minimal (P,Q,R)-chains. 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (17) QDPSizeChangeProof (EQUIVALENT) 13.65/5.27 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. 13.65/5.27 13.65/5.27 From the DPs we obtained the following set of size-change graphs: 13.65/5.27 *new_primPlusNat(Succ(xy1100), Succ(xy4001000)) -> new_primPlusNat(xy1100, xy4001000) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2 13.65/5.27 13.65/5.27 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (18) 13.65/5.27 YES 13.65/5.27 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (19) 13.65/5.27 Obligation: 13.65/5.27 Q DP problem: 13.65/5.27 The TRS P consists of the following rules: 13.65/5.27 13.65/5.27 new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) 13.65/5.27 13.65/5.27 R is empty. 13.65/5.27 Q is empty. 13.65/5.27 We have to consider all minimal (P,Q,R)-chains. 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (20) QDPSizeChangeProof (EQUIVALENT) 13.65/5.27 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. 13.65/5.27 13.65/5.27 From the DPs we obtained the following set of size-change graphs: 13.65/5.27 *new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) 13.65/5.27 The graph contains the following edges 1 > 1, 2 > 2 13.65/5.27 13.65/5.27 13.65/5.27 ---------------------------------------- 13.65/5.27 13.65/5.27 (21) 13.65/5.27 YES 13.82/6.57 EOF