12.00/4.88 YES 13.84/5.36 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 13.84/5.36 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.84/5.36 13.84/5.36 13.84/5.36 H-Termination with start terms of the given HASKELL could be proven: 13.84/5.36 13.84/5.36 (0) HASKELL 13.84/5.36 (1) BR [EQUIVALENT, 0 ms] 13.84/5.36 (2) HASKELL 13.84/5.36 (3) COR [EQUIVALENT, 5 ms] 13.84/5.36 (4) HASKELL 13.84/5.36 (5) Narrow [SOUND, 0 ms] 13.84/5.36 (6) AND 13.84/5.36 (7) QDP 13.84/5.36 (8) QDPSizeChangeProof [EQUIVALENT, 15 ms] 13.84/5.36 (9) YES 13.84/5.36 (10) QDP 13.84/5.36 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.84/5.36 (12) YES 13.84/5.36 (13) QDP 13.84/5.36 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.84/5.36 (15) YES 13.84/5.36 (16) QDP 13.84/5.36 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.84/5.36 (18) YES 13.84/5.36 (19) QDP 13.84/5.36 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.84/5.36 (21) YES 13.84/5.36 13.84/5.36 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (0) 13.84/5.36 Obligation: 13.84/5.36 mainModule Main 13.84/5.36 module Maybe where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 module List where { 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.84/5.36 isPrefixOf [] _ = True; 13.84/5.36 isPrefixOf _ [] = False; 13.84/5.36 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.84/5.36 13.84/5.36 } 13.84/5.36 module Main where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (1) BR (EQUIVALENT) 13.84/5.36 Replaced joker patterns by fresh variables and removed binding patterns. 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (2) 13.84/5.36 Obligation: 13.84/5.36 mainModule Main 13.84/5.36 module Maybe where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 module List where { 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.84/5.36 isPrefixOf [] xw = True; 13.84/5.36 isPrefixOf xx [] = False; 13.84/5.36 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.84/5.36 13.84/5.36 } 13.84/5.36 module Main where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (3) COR (EQUIVALENT) 13.84/5.36 Cond Reductions: 13.84/5.36 The following Function with conditions 13.84/5.36 "undefined |Falseundefined; 13.84/5.36 " 13.84/5.36 is transformed to 13.84/5.36 "undefined = undefined1; 13.84/5.36 " 13.84/5.36 "undefined0 True = undefined; 13.84/5.36 " 13.84/5.36 "undefined1 = undefined0 False; 13.84/5.36 " 13.84/5.36 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (4) 13.84/5.36 Obligation: 13.84/5.36 mainModule Main 13.84/5.36 module Maybe where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 module List where { 13.84/5.36 import qualified Main; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 isPrefixOf :: Eq a => [a] -> [a] -> Bool; 13.84/5.36 isPrefixOf [] xw = True; 13.84/5.36 isPrefixOf xx [] = False; 13.84/5.36 isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys; 13.84/5.36 13.84/5.36 } 13.84/5.36 module Main where { 13.84/5.36 import qualified List; 13.84/5.36 import qualified Maybe; 13.84/5.36 import qualified Prelude; 13.84/5.36 } 13.84/5.36 13.84/5.36 ---------------------------------------- 13.84/5.36 13.84/5.36 (5) Narrow (SOUND) 13.84/5.36 Haskell To QDPs 13.84/5.36 13.84/5.36 digraph dp_graph { 13.84/5.36 node [outthreshold=100, inthreshold=100];1[label="List.isPrefixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 13.84/5.36 3[label="List.isPrefixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 13.84/5.36 4[label="List.isPrefixOf xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];631[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 631[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 631 -> 5[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 632[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 632[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 632 -> 6[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];633[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 633[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 633 -> 7[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 634[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 634[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 634 -> 8[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 6[label="List.isPrefixOf [] xy4",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3]; 13.84/5.36 7[label="List.isPrefixOf (xy30 : xy31) (xy40 : xy41)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3]; 13.84/5.36 8[label="List.isPrefixOf (xy30 : xy31) []",fontsize=16,color="black",shape="box"];8 -> 11[label="",style="solid", color="black", weight=3]; 13.84/5.36 9[label="True",fontsize=16,color="green",shape="box"];10 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.36 10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 29[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 10 -> 30[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 11[label="False",fontsize=16,color="green",shape="box"];29 -> 4[label="",style="dashed", color="red", weight=0]; 13.84/5.36 29[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];29 -> 41[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 29 -> 42[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 30[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];635[label="xy30/Nothing",fontsize=10,color="white",style="solid",shape="box"];30 -> 635[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 635 -> 43[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 636[label="xy30/Just xy300",fontsize=10,color="white",style="solid",shape="box"];30 -> 636[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 636 -> 44[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 28[label="xy9 && xy10",fontsize=16,color="burlywood",shape="triangle"];637[label="xy9/False",fontsize=10,color="white",style="solid",shape="box"];28 -> 637[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 637 -> 45[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 638[label="xy9/True",fontsize=10,color="white",style="solid",shape="box"];28 -> 638[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 638 -> 46[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 41[label="xy31",fontsize=16,color="green",shape="box"];42[label="xy41",fontsize=16,color="green",shape="box"];43[label="Nothing == xy40",fontsize=16,color="burlywood",shape="box"];639[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];43 -> 639[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 639 -> 47[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 640[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];43 -> 640[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 640 -> 48[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 44[label="Just xy300 == xy40",fontsize=16,color="burlywood",shape="box"];641[label="xy40/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 641[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 641 -> 49[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 642[label="xy40/Just xy400",fontsize=10,color="white",style="solid",shape="box"];44 -> 642[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 642 -> 50[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 45[label="False && xy10",fontsize=16,color="black",shape="box"];45 -> 51[label="",style="solid", color="black", weight=3]; 13.84/5.36 46[label="True && xy10",fontsize=16,color="black",shape="box"];46 -> 52[label="",style="solid", color="black", weight=3]; 13.84/5.36 47[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 13.84/5.36 48[label="Nothing == Just xy400",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 13.84/5.36 49[label="Just xy300 == Nothing",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3]; 13.84/5.36 50[label="Just xy300 == Just xy400",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3]; 13.84/5.36 51[label="False",fontsize=16,color="green",shape="box"];52[label="xy10",fontsize=16,color="green",shape="box"];53[label="True",fontsize=16,color="green",shape="box"];54[label="False",fontsize=16,color="green",shape="box"];55[label="False",fontsize=16,color="green",shape="box"];56[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];643[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 643[label="",style="solid", color="blue", weight=9]; 13.84/5.36 643 -> 57[label="",style="solid", color="blue", weight=3]; 13.84/5.36 644[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 644[label="",style="solid", color="blue", weight=9]; 13.84/5.36 644 -> 58[label="",style="solid", color="blue", weight=3]; 13.84/5.36 645[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 645[label="",style="solid", color="blue", weight=9]; 13.84/5.36 645 -> 59[label="",style="solid", color="blue", weight=3]; 13.84/5.36 646[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 646[label="",style="solid", color="blue", weight=9]; 13.84/5.36 646 -> 60[label="",style="solid", color="blue", weight=3]; 13.84/5.36 647[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 647[label="",style="solid", color="blue", weight=9]; 13.84/5.36 647 -> 61[label="",style="solid", color="blue", weight=3]; 13.84/5.36 648[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 648[label="",style="solid", color="blue", weight=9]; 13.84/5.36 648 -> 62[label="",style="solid", color="blue", weight=3]; 13.84/5.36 649[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 649[label="",style="solid", color="blue", weight=9]; 13.84/5.36 649 -> 63[label="",style="solid", color="blue", weight=3]; 13.84/5.36 650[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 650[label="",style="solid", color="blue", weight=9]; 13.84/5.36 650 -> 64[label="",style="solid", color="blue", weight=3]; 13.84/5.36 651[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 651[label="",style="solid", color="blue", weight=9]; 13.84/5.36 651 -> 65[label="",style="solid", color="blue", weight=3]; 13.84/5.36 652[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 652[label="",style="solid", color="blue", weight=9]; 13.84/5.36 652 -> 66[label="",style="solid", color="blue", weight=3]; 13.84/5.36 653[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 653[label="",style="solid", color="blue", weight=9]; 13.84/5.36 653 -> 67[label="",style="solid", color="blue", weight=3]; 13.84/5.36 654[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 654[label="",style="solid", color="blue", weight=9]; 13.84/5.36 654 -> 68[label="",style="solid", color="blue", weight=3]; 13.84/5.36 655[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 655[label="",style="solid", color="blue", weight=9]; 13.84/5.36 655 -> 69[label="",style="solid", color="blue", weight=3]; 13.84/5.36 656[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];56 -> 656[label="",style="solid", color="blue", weight=9]; 13.84/5.36 656 -> 70[label="",style="solid", color="blue", weight=3]; 13.84/5.36 57[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];657[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];57 -> 657[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 657 -> 71[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 658[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];57 -> 658[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 658 -> 72[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 58[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];659[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];58 -> 659[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 659 -> 73[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 660[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];58 -> 660[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 660 -> 74[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 59[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];59 -> 75[label="",style="solid", color="black", weight=3]; 13.84/5.36 60[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];661[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];60 -> 661[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 661 -> 76[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 61[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];662[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];61 -> 662[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 662 -> 77[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 663[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];61 -> 663[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 663 -> 78[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 62 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.36 62[label="xy300 == xy400",fontsize=16,color="magenta"];62 -> 79[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 62 -> 80[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 63[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];664[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];63 -> 664[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 664 -> 81[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 64[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];64 -> 82[label="",style="solid", color="black", weight=3]; 13.84/5.36 65[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];665[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];65 -> 665[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 665 -> 83[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 66[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];666[label="xy300/(xy3000,xy3001)",fontsize=10,color="white",style="solid",shape="box"];66 -> 666[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 666 -> 84[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 67[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];67 -> 85[label="",style="solid", color="black", weight=3]; 13.84/5.36 68[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];667[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];68 -> 667[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 667 -> 86[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 668[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];68 -> 668[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 668 -> 87[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 669[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];68 -> 669[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 669 -> 88[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 69[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];69 -> 89[label="",style="solid", color="black", weight=3]; 13.84/5.36 70[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];670[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];70 -> 670[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 670 -> 90[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 71[label="Left xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];671[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];71 -> 671[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 671 -> 91[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 672[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];71 -> 672[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 672 -> 92[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 72[label="Right xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];673[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 673[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 673 -> 93[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 674[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 674[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 674 -> 94[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 73[label="xy3000 : xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];675[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];73 -> 675[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 675 -> 95[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 676[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];73 -> 676[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 676 -> 96[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 74[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];677[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];74 -> 677[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 677 -> 97[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 678[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];74 -> 678[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 678 -> 98[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 75[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];679[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];75 -> 679[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 679 -> 99[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 680[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];75 -> 680[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 680 -> 100[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 76[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];681[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];76 -> 681[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 681 -> 101[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 77[label="False == xy400",fontsize=16,color="burlywood",shape="box"];682[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];77 -> 682[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 682 -> 102[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 683[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];77 -> 683[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 683 -> 103[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 78[label="True == xy400",fontsize=16,color="burlywood",shape="box"];684[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];78 -> 684[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 684 -> 104[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 685[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];78 -> 685[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 685 -> 105[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 79[label="xy400",fontsize=16,color="green",shape="box"];80[label="xy300",fontsize=16,color="green",shape="box"];81[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];686[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];81 -> 686[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 686 -> 106[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 82[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];687[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];82 -> 687[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 687 -> 107[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 83[label="() == xy400",fontsize=16,color="burlywood",shape="box"];688[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];83 -> 688[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 688 -> 108[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 84[label="(xy3000,xy3001) == xy400",fontsize=16,color="burlywood",shape="box"];689[label="xy400/(xy4000,xy4001)",fontsize=10,color="white",style="solid",shape="box"];84 -> 689[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 689 -> 109[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 85[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];690[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];85 -> 690[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 690 -> 110[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 86[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];691[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];86 -> 691[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 691 -> 111[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 692[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];86 -> 692[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 692 -> 112[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 693[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];86 -> 693[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 693 -> 113[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 87[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];694[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];87 -> 694[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 694 -> 114[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 695[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];87 -> 695[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 695 -> 115[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 696[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];87 -> 696[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 696 -> 116[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 88[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];697[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];88 -> 697[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 697 -> 117[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 698[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];88 -> 698[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 698 -> 118[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 699[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];88 -> 699[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 699 -> 119[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 89[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];700[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];89 -> 700[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 700 -> 120[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 90[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];701[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];90 -> 701[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 701 -> 121[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 91[label="Left xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];91 -> 122[label="",style="solid", color="black", weight=3]; 13.84/5.36 92[label="Left xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];92 -> 123[label="",style="solid", color="black", weight=3]; 13.84/5.36 93[label="Right xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 13.84/5.36 94[label="Right xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 13.84/5.36 95[label="xy3000 : xy3001 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3]; 13.84/5.36 96[label="xy3000 : xy3001 == []",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 13.84/5.36 97[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];97 -> 128[label="",style="solid", color="black", weight=3]; 13.84/5.36 98[label="[] == []",fontsize=16,color="black",shape="box"];98 -> 129[label="",style="solid", color="black", weight=3]; 13.84/5.36 99[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];702[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];99 -> 702[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 702 -> 130[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 703[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];99 -> 703[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 703 -> 131[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 100[label="primEqInt (Neg xy3000) xy400",fontsize=16,color="burlywood",shape="box"];704[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];100 -> 704[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 704 -> 132[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 705[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];100 -> 705[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 705 -> 133[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 101[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];101 -> 134[label="",style="solid", color="black", weight=3]; 13.84/5.36 102[label="False == False",fontsize=16,color="black",shape="box"];102 -> 135[label="",style="solid", color="black", weight=3]; 13.84/5.36 103[label="False == True",fontsize=16,color="black",shape="box"];103 -> 136[label="",style="solid", color="black", weight=3]; 13.84/5.36 104[label="True == False",fontsize=16,color="black",shape="box"];104 -> 137[label="",style="solid", color="black", weight=3]; 13.84/5.36 105[label="True == True",fontsize=16,color="black",shape="box"];105 -> 138[label="",style="solid", color="black", weight=3]; 13.84/5.36 106[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];106 -> 139[label="",style="solid", color="black", weight=3]; 13.84/5.36 107[label="primEqFloat (Float xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];706[label="xy400/Float xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];107 -> 706[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 706 -> 140[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 108[label="() == ()",fontsize=16,color="black",shape="box"];108 -> 141[label="",style="solid", color="black", weight=3]; 13.84/5.36 109[label="(xy3000,xy3001) == (xy4000,xy4001)",fontsize=16,color="black",shape="box"];109 -> 142[label="",style="solid", color="black", weight=3]; 13.84/5.36 110[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];707[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];110 -> 707[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 707 -> 143[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 111[label="LT == LT",fontsize=16,color="black",shape="box"];111 -> 144[label="",style="solid", color="black", weight=3]; 13.84/5.36 112[label="LT == EQ",fontsize=16,color="black",shape="box"];112 -> 145[label="",style="solid", color="black", weight=3]; 13.84/5.36 113[label="LT == GT",fontsize=16,color="black",shape="box"];113 -> 146[label="",style="solid", color="black", weight=3]; 13.84/5.36 114[label="EQ == LT",fontsize=16,color="black",shape="box"];114 -> 147[label="",style="solid", color="black", weight=3]; 13.84/5.36 115[label="EQ == EQ",fontsize=16,color="black",shape="box"];115 -> 148[label="",style="solid", color="black", weight=3]; 13.84/5.36 116[label="EQ == GT",fontsize=16,color="black",shape="box"];116 -> 149[label="",style="solid", color="black", weight=3]; 13.84/5.36 117[label="GT == LT",fontsize=16,color="black",shape="box"];117 -> 150[label="",style="solid", color="black", weight=3]; 13.84/5.36 118[label="GT == EQ",fontsize=16,color="black",shape="box"];118 -> 151[label="",style="solid", color="black", weight=3]; 13.84/5.36 119[label="GT == GT",fontsize=16,color="black",shape="box"];119 -> 152[label="",style="solid", color="black", weight=3]; 13.84/5.36 120[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];708[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];120 -> 708[label="",style="solid", color="burlywood", weight=9]; 13.84/5.36 708 -> 153[label="",style="solid", color="burlywood", weight=3]; 13.84/5.36 121[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];121 -> 154[label="",style="solid", color="black", weight=3]; 13.84/5.36 122[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];709[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 709[label="",style="solid", color="blue", weight=9]; 13.84/5.36 709 -> 155[label="",style="solid", color="blue", weight=3]; 13.84/5.36 710[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 710[label="",style="solid", color="blue", weight=9]; 13.84/5.36 710 -> 156[label="",style="solid", color="blue", weight=3]; 13.84/5.36 711[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 711[label="",style="solid", color="blue", weight=9]; 13.84/5.36 711 -> 157[label="",style="solid", color="blue", weight=3]; 13.84/5.36 712[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 712[label="",style="solid", color="blue", weight=9]; 13.84/5.36 712 -> 158[label="",style="solid", color="blue", weight=3]; 13.84/5.36 713[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 713[label="",style="solid", color="blue", weight=9]; 13.84/5.36 713 -> 159[label="",style="solid", color="blue", weight=3]; 13.84/5.36 714[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 714[label="",style="solid", color="blue", weight=9]; 13.84/5.36 714 -> 160[label="",style="solid", color="blue", weight=3]; 13.84/5.36 715[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 715[label="",style="solid", color="blue", weight=9]; 13.84/5.36 715 -> 161[label="",style="solid", color="blue", weight=3]; 13.84/5.36 716[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 716[label="",style="solid", color="blue", weight=9]; 13.84/5.36 716 -> 162[label="",style="solid", color="blue", weight=3]; 13.84/5.36 717[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 717[label="",style="solid", color="blue", weight=9]; 13.84/5.36 717 -> 163[label="",style="solid", color="blue", weight=3]; 13.84/5.36 718[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 718[label="",style="solid", color="blue", weight=9]; 13.84/5.36 718 -> 164[label="",style="solid", color="blue", weight=3]; 13.84/5.36 719[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 719[label="",style="solid", color="blue", weight=9]; 13.84/5.36 719 -> 165[label="",style="solid", color="blue", weight=3]; 13.84/5.36 720[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 720[label="",style="solid", color="blue", weight=9]; 13.84/5.36 720 -> 166[label="",style="solid", color="blue", weight=3]; 13.84/5.36 721[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 721[label="",style="solid", color="blue", weight=9]; 13.84/5.36 721 -> 167[label="",style="solid", color="blue", weight=3]; 13.84/5.36 722[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];122 -> 722[label="",style="solid", color="blue", weight=9]; 13.84/5.36 722 -> 168[label="",style="solid", color="blue", weight=3]; 13.84/5.36 123[label="False",fontsize=16,color="green",shape="box"];124[label="False",fontsize=16,color="green",shape="box"];125[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];723[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 723[label="",style="solid", color="blue", weight=9]; 13.84/5.36 723 -> 169[label="",style="solid", color="blue", weight=3]; 13.84/5.36 724[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 724[label="",style="solid", color="blue", weight=9]; 13.84/5.36 724 -> 170[label="",style="solid", color="blue", weight=3]; 13.84/5.36 725[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 725[label="",style="solid", color="blue", weight=9]; 13.84/5.36 725 -> 171[label="",style="solid", color="blue", weight=3]; 13.84/5.36 726[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 726[label="",style="solid", color="blue", weight=9]; 13.84/5.36 726 -> 172[label="",style="solid", color="blue", weight=3]; 13.84/5.36 727[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 727[label="",style="solid", color="blue", weight=9]; 13.84/5.36 727 -> 173[label="",style="solid", color="blue", weight=3]; 13.84/5.36 728[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 728[label="",style="solid", color="blue", weight=9]; 13.84/5.36 728 -> 174[label="",style="solid", color="blue", weight=3]; 13.84/5.36 729[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 729[label="",style="solid", color="blue", weight=9]; 13.84/5.36 729 -> 175[label="",style="solid", color="blue", weight=3]; 13.84/5.36 730[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 730[label="",style="solid", color="blue", weight=9]; 13.84/5.36 730 -> 176[label="",style="solid", color="blue", weight=3]; 13.84/5.36 731[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 731[label="",style="solid", color="blue", weight=9]; 13.84/5.36 731 -> 177[label="",style="solid", color="blue", weight=3]; 13.84/5.36 732[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 732[label="",style="solid", color="blue", weight=9]; 13.84/5.36 732 -> 178[label="",style="solid", color="blue", weight=3]; 13.84/5.36 733[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 733[label="",style="solid", color="blue", weight=9]; 13.84/5.36 733 -> 179[label="",style="solid", color="blue", weight=3]; 13.84/5.36 734[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 734[label="",style="solid", color="blue", weight=9]; 13.84/5.36 734 -> 180[label="",style="solid", color="blue", weight=3]; 13.84/5.36 735[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 735[label="",style="solid", color="blue", weight=9]; 13.84/5.36 735 -> 181[label="",style="solid", color="blue", weight=3]; 13.84/5.36 736[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];125 -> 736[label="",style="solid", color="blue", weight=9]; 13.84/5.36 736 -> 182[label="",style="solid", color="blue", weight=3]; 13.84/5.36 126 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.36 126[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];126 -> 183[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 126 -> 184[label="",style="dashed", color="magenta", weight=3]; 13.84/5.36 127[label="False",fontsize=16,color="green",shape="box"];128[label="False",fontsize=16,color="green",shape="box"];129[label="True",fontsize=16,color="green",shape="box"];130[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];737[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];130 -> 737[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 737 -> 185[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 738[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];130 -> 738[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 738 -> 186[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 131[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];739[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];131 -> 739[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 739 -> 187[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 740[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];131 -> 740[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 740 -> 188[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 132[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];741[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];132 -> 741[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 741 -> 189[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 742[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];132 -> 742[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 742 -> 190[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 133[label="primEqInt (Neg Zero) xy400",fontsize=16,color="burlywood",shape="box"];743[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];133 -> 743[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 743 -> 191[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 744[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];133 -> 744[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 744 -> 192[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 134 -> 75[label="",style="dashed", color="red", weight=0]; 13.84/5.37 134[label="primEqInt xy3000 xy4000",fontsize=16,color="magenta"];134 -> 193[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 134 -> 194[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 135[label="True",fontsize=16,color="green",shape="box"];136[label="False",fontsize=16,color="green",shape="box"];137[label="False",fontsize=16,color="green",shape="box"];138[label="True",fontsize=16,color="green",shape="box"];139 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.37 139[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];139 -> 195[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 139 -> 196[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 140[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];140 -> 197[label="",style="solid", color="black", weight=3]; 13.84/5.37 141[label="True",fontsize=16,color="green",shape="box"];142 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.37 142[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];142 -> 198[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 142 -> 199[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 143[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];143 -> 200[label="",style="solid", color="black", weight=3]; 13.84/5.37 144[label="True",fontsize=16,color="green",shape="box"];145[label="False",fontsize=16,color="green",shape="box"];146[label="False",fontsize=16,color="green",shape="box"];147[label="False",fontsize=16,color="green",shape="box"];148[label="True",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="False",fontsize=16,color="green",shape="box"];151[label="False",fontsize=16,color="green",shape="box"];152[label="True",fontsize=16,color="green",shape="box"];153[label="primEqDouble (Double xy3000 xy3001) (Double xy4000 xy4001)",fontsize=16,color="black",shape="box"];153 -> 201[label="",style="solid", color="black", weight=3]; 13.84/5.37 154 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.37 154[label="xy3000 == xy4000 && xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];154 -> 202[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 154 -> 203[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 155 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 155[label="xy3000 == xy4000",fontsize=16,color="magenta"];155 -> 204[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 155 -> 205[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 156 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 156[label="xy3000 == xy4000",fontsize=16,color="magenta"];156 -> 206[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 156 -> 207[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 157 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 157[label="xy3000 == xy4000",fontsize=16,color="magenta"];157 -> 208[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 157 -> 209[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 158 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 158[label="xy3000 == xy4000",fontsize=16,color="magenta"];158 -> 210[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 158 -> 211[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 159 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 159[label="xy3000 == xy4000",fontsize=16,color="magenta"];159 -> 212[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 159 -> 213[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 160 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 160[label="xy3000 == xy4000",fontsize=16,color="magenta"];160 -> 214[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 160 -> 215[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 161 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 161[label="xy3000 == xy4000",fontsize=16,color="magenta"];161 -> 216[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 161 -> 217[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 162 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 162[label="xy3000 == xy4000",fontsize=16,color="magenta"];162 -> 218[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 162 -> 219[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 163 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 163[label="xy3000 == xy4000",fontsize=16,color="magenta"];163 -> 220[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 163 -> 221[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 164 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 164[label="xy3000 == xy4000",fontsize=16,color="magenta"];164 -> 222[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 164 -> 223[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 165 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 165[label="xy3000 == xy4000",fontsize=16,color="magenta"];165 -> 224[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 165 -> 225[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 166 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 166[label="xy3000 == xy4000",fontsize=16,color="magenta"];166 -> 226[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 166 -> 227[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 167 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 167[label="xy3000 == xy4000",fontsize=16,color="magenta"];167 -> 228[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 167 -> 229[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 168 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 168[label="xy3000 == xy4000",fontsize=16,color="magenta"];168 -> 230[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 168 -> 231[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 169 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 169[label="xy3000 == xy4000",fontsize=16,color="magenta"];169 -> 232[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 169 -> 233[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 170 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 170[label="xy3000 == xy4000",fontsize=16,color="magenta"];170 -> 234[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 170 -> 235[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 171 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 171[label="xy3000 == xy4000",fontsize=16,color="magenta"];171 -> 236[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 171 -> 237[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 172 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 172[label="xy3000 == xy4000",fontsize=16,color="magenta"];172 -> 238[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 172 -> 239[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 173 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 173[label="xy3000 == xy4000",fontsize=16,color="magenta"];173 -> 240[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 173 -> 241[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 174 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 174[label="xy3000 == xy4000",fontsize=16,color="magenta"];174 -> 242[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 174 -> 243[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 175 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 175[label="xy3000 == xy4000",fontsize=16,color="magenta"];175 -> 244[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 175 -> 245[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 176 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 176[label="xy3000 == xy4000",fontsize=16,color="magenta"];176 -> 246[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 176 -> 247[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 177 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 177[label="xy3000 == xy4000",fontsize=16,color="magenta"];177 -> 248[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 177 -> 249[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 178 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 178[label="xy3000 == xy4000",fontsize=16,color="magenta"];178 -> 250[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 178 -> 251[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 179 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 179[label="xy3000 == xy4000",fontsize=16,color="magenta"];179 -> 252[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 179 -> 253[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 180 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 180[label="xy3000 == xy4000",fontsize=16,color="magenta"];180 -> 254[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 180 -> 255[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 181 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 181[label="xy3000 == xy4000",fontsize=16,color="magenta"];181 -> 256[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 181 -> 257[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 182 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 182[label="xy3000 == xy4000",fontsize=16,color="magenta"];182 -> 258[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 182 -> 259[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 183 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 183[label="xy3001 == xy4001",fontsize=16,color="magenta"];183 -> 260[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 183 -> 261[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 184[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];745[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 745[label="",style="solid", color="blue", weight=9]; 13.84/5.37 745 -> 262[label="",style="solid", color="blue", weight=3]; 13.84/5.37 746[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 746[label="",style="solid", color="blue", weight=9]; 13.84/5.37 746 -> 263[label="",style="solid", color="blue", weight=3]; 13.84/5.37 747[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 747[label="",style="solid", color="blue", weight=9]; 13.84/5.37 747 -> 264[label="",style="solid", color="blue", weight=3]; 13.84/5.37 748[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 748[label="",style="solid", color="blue", weight=9]; 13.84/5.37 748 -> 265[label="",style="solid", color="blue", weight=3]; 13.84/5.37 749[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 749[label="",style="solid", color="blue", weight=9]; 13.84/5.37 749 -> 266[label="",style="solid", color="blue", weight=3]; 13.84/5.37 750[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 750[label="",style="solid", color="blue", weight=9]; 13.84/5.37 750 -> 267[label="",style="solid", color="blue", weight=3]; 13.84/5.37 751[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 751[label="",style="solid", color="blue", weight=9]; 13.84/5.37 751 -> 268[label="",style="solid", color="blue", weight=3]; 13.84/5.37 752[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 752[label="",style="solid", color="blue", weight=9]; 13.84/5.37 752 -> 269[label="",style="solid", color="blue", weight=3]; 13.84/5.37 753[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 753[label="",style="solid", color="blue", weight=9]; 13.84/5.37 753 -> 270[label="",style="solid", color="blue", weight=3]; 13.84/5.37 754[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 754[label="",style="solid", color="blue", weight=9]; 13.84/5.37 754 -> 271[label="",style="solid", color="blue", weight=3]; 13.84/5.37 755[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 755[label="",style="solid", color="blue", weight=9]; 13.84/5.37 755 -> 272[label="",style="solid", color="blue", weight=3]; 13.84/5.37 756[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 756[label="",style="solid", color="blue", weight=9]; 13.84/5.37 756 -> 273[label="",style="solid", color="blue", weight=3]; 13.84/5.37 757[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 757[label="",style="solid", color="blue", weight=9]; 13.84/5.37 757 -> 274[label="",style="solid", color="blue", weight=3]; 13.84/5.37 758[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];184 -> 758[label="",style="solid", color="blue", weight=9]; 13.84/5.37 758 -> 275[label="",style="solid", color="blue", weight=3]; 13.84/5.37 185[label="primEqInt (Pos (Succ xy30000)) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];759[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];185 -> 759[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 759 -> 276[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 760[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];185 -> 760[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 760 -> 277[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 186[label="primEqInt (Pos (Succ xy30000)) (Neg xy4000)",fontsize=16,color="black",shape="box"];186 -> 278[label="",style="solid", color="black", weight=3]; 13.84/5.37 187[label="primEqInt (Pos Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];761[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];187 -> 761[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 761 -> 279[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 762[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];187 -> 762[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 762 -> 280[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 188[label="primEqInt (Pos Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];763[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];188 -> 763[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 763 -> 281[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 764[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];188 -> 764[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 764 -> 282[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 189[label="primEqInt (Neg (Succ xy30000)) (Pos xy4000)",fontsize=16,color="black",shape="box"];189 -> 283[label="",style="solid", color="black", weight=3]; 13.84/5.37 190[label="primEqInt (Neg (Succ xy30000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];765[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];190 -> 765[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 765 -> 284[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 766[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];190 -> 766[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 766 -> 285[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 191[label="primEqInt (Neg Zero) (Pos xy4000)",fontsize=16,color="burlywood",shape="box"];767[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];191 -> 767[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 767 -> 286[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 768[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];191 -> 768[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 768 -> 287[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 192[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];769[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];192 -> 769[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 769 -> 288[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 770[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];192 -> 770[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 770 -> 289[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 193[label="xy4000",fontsize=16,color="green",shape="box"];194[label="xy3000",fontsize=16,color="green",shape="box"];195[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];771[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 771[label="",style="solid", color="blue", weight=9]; 13.84/5.37 771 -> 290[label="",style="solid", color="blue", weight=3]; 13.84/5.37 772[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 772[label="",style="solid", color="blue", weight=9]; 13.84/5.37 772 -> 291[label="",style="solid", color="blue", weight=3]; 13.84/5.37 196[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];773[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 773[label="",style="solid", color="blue", weight=9]; 13.84/5.37 773 -> 292[label="",style="solid", color="blue", weight=3]; 13.84/5.37 774[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];196 -> 774[label="",style="solid", color="blue", weight=9]; 13.84/5.37 774 -> 293[label="",style="solid", color="blue", weight=3]; 13.84/5.37 197 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 197[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];197 -> 294[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 197 -> 295[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 198[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];775[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 775[label="",style="solid", color="blue", weight=9]; 13.84/5.37 775 -> 296[label="",style="solid", color="blue", weight=3]; 13.84/5.37 776[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 776[label="",style="solid", color="blue", weight=9]; 13.84/5.37 776 -> 297[label="",style="solid", color="blue", weight=3]; 13.84/5.37 777[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 777[label="",style="solid", color="blue", weight=9]; 13.84/5.37 777 -> 298[label="",style="solid", color="blue", weight=3]; 13.84/5.37 778[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 778[label="",style="solid", color="blue", weight=9]; 13.84/5.37 778 -> 299[label="",style="solid", color="blue", weight=3]; 13.84/5.37 779[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 779[label="",style="solid", color="blue", weight=9]; 13.84/5.37 779 -> 300[label="",style="solid", color="blue", weight=3]; 13.84/5.37 780[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 780[label="",style="solid", color="blue", weight=9]; 13.84/5.37 780 -> 301[label="",style="solid", color="blue", weight=3]; 13.84/5.37 781[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 781[label="",style="solid", color="blue", weight=9]; 13.84/5.37 781 -> 302[label="",style="solid", color="blue", weight=3]; 13.84/5.37 782[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 782[label="",style="solid", color="blue", weight=9]; 13.84/5.37 782 -> 303[label="",style="solid", color="blue", weight=3]; 13.84/5.37 783[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 783[label="",style="solid", color="blue", weight=9]; 13.84/5.37 783 -> 304[label="",style="solid", color="blue", weight=3]; 13.84/5.37 784[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 784[label="",style="solid", color="blue", weight=9]; 13.84/5.37 784 -> 305[label="",style="solid", color="blue", weight=3]; 13.84/5.37 785[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 785[label="",style="solid", color="blue", weight=9]; 13.84/5.37 785 -> 306[label="",style="solid", color="blue", weight=3]; 13.84/5.37 786[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 786[label="",style="solid", color="blue", weight=9]; 13.84/5.37 786 -> 307[label="",style="solid", color="blue", weight=3]; 13.84/5.37 787[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 787[label="",style="solid", color="blue", weight=9]; 13.84/5.37 787 -> 308[label="",style="solid", color="blue", weight=3]; 13.84/5.37 788[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];198 -> 788[label="",style="solid", color="blue", weight=9]; 13.84/5.37 788 -> 309[label="",style="solid", color="blue", weight=3]; 13.84/5.37 199[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];789[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 789[label="",style="solid", color="blue", weight=9]; 13.84/5.37 789 -> 310[label="",style="solid", color="blue", weight=3]; 13.84/5.37 790[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 790[label="",style="solid", color="blue", weight=9]; 13.84/5.37 790 -> 311[label="",style="solid", color="blue", weight=3]; 13.84/5.37 791[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 791[label="",style="solid", color="blue", weight=9]; 13.84/5.37 791 -> 312[label="",style="solid", color="blue", weight=3]; 13.84/5.37 792[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 792[label="",style="solid", color="blue", weight=9]; 13.84/5.37 792 -> 313[label="",style="solid", color="blue", weight=3]; 13.84/5.37 793[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 793[label="",style="solid", color="blue", weight=9]; 13.84/5.37 793 -> 314[label="",style="solid", color="blue", weight=3]; 13.84/5.37 794[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 794[label="",style="solid", color="blue", weight=9]; 13.84/5.37 794 -> 315[label="",style="solid", color="blue", weight=3]; 13.84/5.37 795[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 795[label="",style="solid", color="blue", weight=9]; 13.84/5.37 795 -> 316[label="",style="solid", color="blue", weight=3]; 13.84/5.37 796[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 796[label="",style="solid", color="blue", weight=9]; 13.84/5.37 796 -> 317[label="",style="solid", color="blue", weight=3]; 13.84/5.37 797[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 797[label="",style="solid", color="blue", weight=9]; 13.84/5.37 797 -> 318[label="",style="solid", color="blue", weight=3]; 13.84/5.37 798[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 798[label="",style="solid", color="blue", weight=9]; 13.84/5.37 798 -> 319[label="",style="solid", color="blue", weight=3]; 13.84/5.37 799[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 799[label="",style="solid", color="blue", weight=9]; 13.84/5.37 799 -> 320[label="",style="solid", color="blue", weight=3]; 13.84/5.37 800[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 800[label="",style="solid", color="blue", weight=9]; 13.84/5.37 800 -> 321[label="",style="solid", color="blue", weight=3]; 13.84/5.37 801[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 801[label="",style="solid", color="blue", weight=9]; 13.84/5.37 801 -> 322[label="",style="solid", color="blue", weight=3]; 13.84/5.37 802[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];199 -> 802[label="",style="solid", color="blue", weight=9]; 13.84/5.37 802 -> 323[label="",style="solid", color="blue", weight=3]; 13.84/5.37 200[label="primEqNat xy3000 xy4000",fontsize=16,color="burlywood",shape="triangle"];803[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];200 -> 803[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 803 -> 324[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 804[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 804[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 804 -> 325[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 201 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 201[label="xy3000 * xy4001 == xy3001 * xy4000",fontsize=16,color="magenta"];201 -> 326[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 201 -> 327[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 202 -> 28[label="",style="dashed", color="red", weight=0]; 13.84/5.37 202[label="xy3001 == xy4001 && xy3002 == xy4002",fontsize=16,color="magenta"];202 -> 328[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 202 -> 329[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 203[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];805[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 805[label="",style="solid", color="blue", weight=9]; 13.84/5.37 805 -> 330[label="",style="solid", color="blue", weight=3]; 13.84/5.37 806[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 806[label="",style="solid", color="blue", weight=9]; 13.84/5.37 806 -> 331[label="",style="solid", color="blue", weight=3]; 13.84/5.37 807[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 807[label="",style="solid", color="blue", weight=9]; 13.84/5.37 807 -> 332[label="",style="solid", color="blue", weight=3]; 13.84/5.37 808[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 808[label="",style="solid", color="blue", weight=9]; 13.84/5.37 808 -> 333[label="",style="solid", color="blue", weight=3]; 13.84/5.37 809[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 809[label="",style="solid", color="blue", weight=9]; 13.84/5.37 809 -> 334[label="",style="solid", color="blue", weight=3]; 13.84/5.37 810[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 810[label="",style="solid", color="blue", weight=9]; 13.84/5.37 810 -> 335[label="",style="solid", color="blue", weight=3]; 13.84/5.37 811[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 811[label="",style="solid", color="blue", weight=9]; 13.84/5.37 811 -> 336[label="",style="solid", color="blue", weight=3]; 13.84/5.37 812[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 812[label="",style="solid", color="blue", weight=9]; 13.84/5.37 812 -> 337[label="",style="solid", color="blue", weight=3]; 13.84/5.37 813[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 813[label="",style="solid", color="blue", weight=9]; 13.84/5.37 813 -> 338[label="",style="solid", color="blue", weight=3]; 13.84/5.37 814[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 814[label="",style="solid", color="blue", weight=9]; 13.84/5.37 814 -> 339[label="",style="solid", color="blue", weight=3]; 13.84/5.37 815[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 815[label="",style="solid", color="blue", weight=9]; 13.84/5.37 815 -> 340[label="",style="solid", color="blue", weight=3]; 13.84/5.37 816[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 816[label="",style="solid", color="blue", weight=9]; 13.84/5.37 816 -> 341[label="",style="solid", color="blue", weight=3]; 13.84/5.37 817[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 817[label="",style="solid", color="blue", weight=9]; 13.84/5.37 817 -> 342[label="",style="solid", color="blue", weight=3]; 13.84/5.37 818[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];203 -> 818[label="",style="solid", color="blue", weight=9]; 13.84/5.37 818 -> 343[label="",style="solid", color="blue", weight=3]; 13.84/5.37 204[label="xy4000",fontsize=16,color="green",shape="box"];205[label="xy3000",fontsize=16,color="green",shape="box"];206[label="xy4000",fontsize=16,color="green",shape="box"];207[label="xy3000",fontsize=16,color="green",shape="box"];208[label="xy4000",fontsize=16,color="green",shape="box"];209[label="xy3000",fontsize=16,color="green",shape="box"];210[label="xy4000",fontsize=16,color="green",shape="box"];211[label="xy3000",fontsize=16,color="green",shape="box"];212[label="xy4000",fontsize=16,color="green",shape="box"];213[label="xy3000",fontsize=16,color="green",shape="box"];214[label="xy4000",fontsize=16,color="green",shape="box"];215[label="xy3000",fontsize=16,color="green",shape="box"];216[label="xy4000",fontsize=16,color="green",shape="box"];217[label="xy3000",fontsize=16,color="green",shape="box"];218[label="xy4000",fontsize=16,color="green",shape="box"];219[label="xy3000",fontsize=16,color="green",shape="box"];220[label="xy4000",fontsize=16,color="green",shape="box"];221[label="xy3000",fontsize=16,color="green",shape="box"];222[label="xy4000",fontsize=16,color="green",shape="box"];223[label="xy3000",fontsize=16,color="green",shape="box"];224[label="xy4000",fontsize=16,color="green",shape="box"];225[label="xy3000",fontsize=16,color="green",shape="box"];226[label="xy4000",fontsize=16,color="green",shape="box"];227[label="xy3000",fontsize=16,color="green",shape="box"];228[label="xy4000",fontsize=16,color="green",shape="box"];229[label="xy3000",fontsize=16,color="green",shape="box"];230[label="xy4000",fontsize=16,color="green",shape="box"];231[label="xy3000",fontsize=16,color="green",shape="box"];232[label="xy4000",fontsize=16,color="green",shape="box"];233[label="xy3000",fontsize=16,color="green",shape="box"];234[label="xy4000",fontsize=16,color="green",shape="box"];235[label="xy3000",fontsize=16,color="green",shape="box"];236[label="xy4000",fontsize=16,color="green",shape="box"];237[label="xy3000",fontsize=16,color="green",shape="box"];238[label="xy4000",fontsize=16,color="green",shape="box"];239[label="xy3000",fontsize=16,color="green",shape="box"];240[label="xy4000",fontsize=16,color="green",shape="box"];241[label="xy3000",fontsize=16,color="green",shape="box"];242[label="xy4000",fontsize=16,color="green",shape="box"];243[label="xy3000",fontsize=16,color="green",shape="box"];244[label="xy4000",fontsize=16,color="green",shape="box"];245[label="xy3000",fontsize=16,color="green",shape="box"];246[label="xy4000",fontsize=16,color="green",shape="box"];247[label="xy3000",fontsize=16,color="green",shape="box"];248[label="xy4000",fontsize=16,color="green",shape="box"];249[label="xy3000",fontsize=16,color="green",shape="box"];250[label="xy4000",fontsize=16,color="green",shape="box"];251[label="xy3000",fontsize=16,color="green",shape="box"];252[label="xy4000",fontsize=16,color="green",shape="box"];253[label="xy3000",fontsize=16,color="green",shape="box"];254[label="xy4000",fontsize=16,color="green",shape="box"];255[label="xy3000",fontsize=16,color="green",shape="box"];256[label="xy4000",fontsize=16,color="green",shape="box"];257[label="xy3000",fontsize=16,color="green",shape="box"];258[label="xy4000",fontsize=16,color="green",shape="box"];259[label="xy3000",fontsize=16,color="green",shape="box"];260[label="xy4001",fontsize=16,color="green",shape="box"];261[label="xy3001",fontsize=16,color="green",shape="box"];262 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 262[label="xy3000 == xy4000",fontsize=16,color="magenta"];262 -> 344[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 262 -> 345[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 263 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 263[label="xy3000 == xy4000",fontsize=16,color="magenta"];263 -> 346[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 263 -> 347[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 264 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 264[label="xy3000 == xy4000",fontsize=16,color="magenta"];264 -> 348[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 264 -> 349[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 265 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 265[label="xy3000 == xy4000",fontsize=16,color="magenta"];265 -> 350[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 265 -> 351[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 266 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 266[label="xy3000 == xy4000",fontsize=16,color="magenta"];266 -> 352[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 266 -> 353[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 267 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 267[label="xy3000 == xy4000",fontsize=16,color="magenta"];267 -> 354[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 267 -> 355[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 268 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 268[label="xy3000 == xy4000",fontsize=16,color="magenta"];268 -> 356[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 268 -> 357[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 269 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 269[label="xy3000 == xy4000",fontsize=16,color="magenta"];269 -> 358[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 269 -> 359[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 270 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 270[label="xy3000 == xy4000",fontsize=16,color="magenta"];270 -> 360[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 270 -> 361[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 271 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 271[label="xy3000 == xy4000",fontsize=16,color="magenta"];271 -> 362[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 271 -> 363[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 272 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 272[label="xy3000 == xy4000",fontsize=16,color="magenta"];272 -> 364[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 272 -> 365[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 273 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 273[label="xy3000 == xy4000",fontsize=16,color="magenta"];273 -> 366[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 273 -> 367[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 274 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 274[label="xy3000 == xy4000",fontsize=16,color="magenta"];274 -> 368[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 274 -> 369[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 275 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 275[label="xy3000 == xy4000",fontsize=16,color="magenta"];275 -> 370[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 275 -> 371[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 276[label="primEqInt (Pos (Succ xy30000)) (Pos (Succ 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283[label="False",fontsize=16,color="green",shape="box"];284[label="primEqInt (Neg (Succ xy30000)) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];284 -> 378[label="",style="solid", color="black", weight=3]; 13.84/5.37 285[label="primEqInt (Neg (Succ xy30000)) (Neg Zero)",fontsize=16,color="black",shape="box"];285 -> 379[label="",style="solid", color="black", weight=3]; 13.84/5.37 286[label="primEqInt (Neg Zero) (Pos (Succ xy40000))",fontsize=16,color="black",shape="box"];286 -> 380[label="",style="solid", color="black", weight=3]; 13.84/5.37 287[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];287 -> 381[label="",style="solid", color="black", weight=3]; 13.84/5.37 288[label="primEqInt (Neg Zero) (Neg (Succ xy40000))",fontsize=16,color="black",shape="box"];288 -> 382[label="",style="solid", color="black", weight=3]; 13.84/5.37 289[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];289 -> 383[label="",style="solid", color="black", weight=3]; 13.84/5.37 290 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 290[label="xy3001 == xy4001",fontsize=16,color="magenta"];290 -> 384[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 290 -> 385[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 291 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 291[label="xy3001 == xy4001",fontsize=16,color="magenta"];291 -> 386[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 291 -> 387[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 292 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 292[label="xy3000 == xy4000",fontsize=16,color="magenta"];292 -> 388[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 292 -> 389[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 293 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 293[label="xy3000 == xy4000",fontsize=16,color="magenta"];293 -> 390[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 293 -> 391[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 294[label="xy3001 * xy4000",fontsize=16,color="black",shape="triangle"];294 -> 392[label="",style="solid", color="black", weight=3]; 13.84/5.37 295 -> 294[label="",style="dashed", color="red", weight=0]; 13.84/5.37 295[label="xy3000 * xy4001",fontsize=16,color="magenta"];295 -> 393[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 295 -> 394[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 296 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 296[label="xy3001 == xy4001",fontsize=16,color="magenta"];296 -> 395[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 296 -> 396[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 297 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 297[label="xy3001 == xy4001",fontsize=16,color="magenta"];297 -> 397[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 297 -> 398[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 298 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 298[label="xy3001 == xy4001",fontsize=16,color="magenta"];298 -> 399[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 298 -> 400[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 299 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 299[label="xy3001 == xy4001",fontsize=16,color="magenta"];299 -> 401[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 299 -> 402[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 300 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 300[label="xy3001 == xy4001",fontsize=16,color="magenta"];300 -> 403[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 300 -> 404[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 301 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 301[label="xy3001 == xy4001",fontsize=16,color="magenta"];301 -> 405[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 301 -> 406[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 302 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 302[label="xy3001 == xy4001",fontsize=16,color="magenta"];302 -> 407[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 302 -> 408[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 303 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 303[label="xy3001 == xy4001",fontsize=16,color="magenta"];303 -> 409[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 303 -> 410[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 304 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 304[label="xy3001 == xy4001",fontsize=16,color="magenta"];304 -> 411[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 304 -> 412[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 305 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 305[label="xy3001 == xy4001",fontsize=16,color="magenta"];305 -> 413[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 305 -> 414[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 306 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 306[label="xy3001 == xy4001",fontsize=16,color="magenta"];306 -> 415[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 306 -> 416[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 307 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 307[label="xy3001 == xy4001",fontsize=16,color="magenta"];307 -> 417[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 307 -> 418[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 308 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 308[label="xy3001 == xy4001",fontsize=16,color="magenta"];308 -> 419[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 308 -> 420[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 309 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 309[label="xy3001 == xy4001",fontsize=16,color="magenta"];309 -> 421[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 309 -> 422[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 310 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 310[label="xy3000 == xy4000",fontsize=16,color="magenta"];310 -> 423[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 310 -> 424[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 311 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 311[label="xy3000 == xy4000",fontsize=16,color="magenta"];311 -> 425[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 311 -> 426[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 312 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 312[label="xy3000 == xy4000",fontsize=16,color="magenta"];312 -> 427[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 312 -> 428[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 313 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 313[label="xy3000 == xy4000",fontsize=16,color="magenta"];313 -> 429[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 313 -> 430[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 314 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 314[label="xy3000 == xy4000",fontsize=16,color="magenta"];314 -> 431[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 314 -> 432[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 315 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 315[label="xy3000 == xy4000",fontsize=16,color="magenta"];315 -> 433[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 315 -> 434[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 316 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 316[label="xy3000 == xy4000",fontsize=16,color="magenta"];316 -> 435[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 316 -> 436[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 317 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 317[label="xy3000 == xy4000",fontsize=16,color="magenta"];317 -> 437[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 317 -> 438[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 318 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 318[label="xy3000 == xy4000",fontsize=16,color="magenta"];318 -> 439[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 318 -> 440[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 319 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 319[label="xy3000 == xy4000",fontsize=16,color="magenta"];319 -> 441[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 319 -> 442[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 320 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 320[label="xy3000 == xy4000",fontsize=16,color="magenta"];320 -> 443[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 320 -> 444[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 321 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 321[label="xy3000 == xy4000",fontsize=16,color="magenta"];321 -> 445[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 321 -> 446[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 322 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 322[label="xy3000 == xy4000",fontsize=16,color="magenta"];322 -> 447[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 322 -> 448[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 323 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 323[label="xy3000 == xy4000",fontsize=16,color="magenta"];323 -> 449[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 323 -> 450[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 324[label="primEqNat (Succ xy30000) xy4000",fontsize=16,color="burlywood",shape="box"];819[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];324 -> 819[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 819 -> 451[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 820[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];324 -> 820[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 820 -> 452[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 325[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];821[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];325 -> 821[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 821 -> 453[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 822[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];325 -> 822[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 822 -> 454[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 326 -> 294[label="",style="dashed", color="red", weight=0]; 13.84/5.37 326[label="xy3001 * xy4000",fontsize=16,color="magenta"];326 -> 455[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 326 -> 456[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 327 -> 294[label="",style="dashed", color="red", weight=0]; 13.84/5.37 327[label="xy3000 * xy4001",fontsize=16,color="magenta"];327 -> 457[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 327 -> 458[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 328[label="xy3002 == xy4002",fontsize=16,color="blue",shape="box"];823[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 823[label="",style="solid", color="blue", weight=9]; 13.84/5.37 823 -> 459[label="",style="solid", color="blue", weight=3]; 13.84/5.37 824[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 824[label="",style="solid", color="blue", weight=9]; 13.84/5.37 824 -> 460[label="",style="solid", color="blue", weight=3]; 13.84/5.37 825[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 825[label="",style="solid", color="blue", weight=9]; 13.84/5.37 825 -> 461[label="",style="solid", color="blue", weight=3]; 13.84/5.37 826[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 826[label="",style="solid", color="blue", weight=9]; 13.84/5.37 826 -> 462[label="",style="solid", color="blue", weight=3]; 13.84/5.37 827[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 827[label="",style="solid", color="blue", weight=9]; 13.84/5.37 827 -> 463[label="",style="solid", color="blue", weight=3]; 13.84/5.37 828[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 828[label="",style="solid", color="blue", weight=9]; 13.84/5.37 828 -> 464[label="",style="solid", color="blue", weight=3]; 13.84/5.37 829[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 829[label="",style="solid", color="blue", weight=9]; 13.84/5.37 829 -> 465[label="",style="solid", color="blue", weight=3]; 13.84/5.37 830[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 830[label="",style="solid", color="blue", weight=9]; 13.84/5.37 830 -> 466[label="",style="solid", color="blue", weight=3]; 13.84/5.37 831[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 831[label="",style="solid", color="blue", weight=9]; 13.84/5.37 831 -> 467[label="",style="solid", color="blue", weight=3]; 13.84/5.37 832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 832[label="",style="solid", color="blue", weight=9]; 13.84/5.37 832 -> 468[label="",style="solid", color="blue", weight=3]; 13.84/5.37 833[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 833[label="",style="solid", color="blue", weight=9]; 13.84/5.37 833 -> 469[label="",style="solid", color="blue", weight=3]; 13.84/5.37 834[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 834[label="",style="solid", color="blue", weight=9]; 13.84/5.37 834 -> 470[label="",style="solid", color="blue", weight=3]; 13.84/5.37 835[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 835[label="",style="solid", color="blue", weight=9]; 13.84/5.37 835 -> 471[label="",style="solid", color="blue", weight=3]; 13.84/5.37 836[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];328 -> 836[label="",style="solid", color="blue", weight=9]; 13.84/5.37 836 -> 472[label="",style="solid", color="blue", weight=3]; 13.84/5.37 329[label="xy3001 == xy4001",fontsize=16,color="blue",shape="box"];837[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 837[label="",style="solid", color="blue", weight=9]; 13.84/5.37 837 -> 473[label="",style="solid", color="blue", weight=3]; 13.84/5.37 838[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 838[label="",style="solid", color="blue", weight=9]; 13.84/5.37 838 -> 474[label="",style="solid", color="blue", weight=3]; 13.84/5.37 839[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 839[label="",style="solid", color="blue", weight=9]; 13.84/5.37 839 -> 475[label="",style="solid", color="blue", weight=3]; 13.84/5.37 840[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 840[label="",style="solid", color="blue", weight=9]; 13.84/5.37 840 -> 476[label="",style="solid", color="blue", weight=3]; 13.84/5.37 841[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 841[label="",style="solid", color="blue", weight=9]; 13.84/5.37 841 -> 477[label="",style="solid", color="blue", weight=3]; 13.84/5.37 842[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 842[label="",style="solid", color="blue", weight=9]; 13.84/5.37 842 -> 478[label="",style="solid", color="blue", weight=3]; 13.84/5.37 843[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 843[label="",style="solid", color="blue", weight=9]; 13.84/5.37 843 -> 479[label="",style="solid", color="blue", weight=3]; 13.84/5.37 844[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 844[label="",style="solid", color="blue", weight=9]; 13.84/5.37 844 -> 480[label="",style="solid", color="blue", weight=3]; 13.84/5.37 845[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 845[label="",style="solid", color="blue", weight=9]; 13.84/5.37 845 -> 481[label="",style="solid", color="blue", weight=3]; 13.84/5.37 846[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 846[label="",style="solid", color="blue", weight=9]; 13.84/5.37 846 -> 482[label="",style="solid", color="blue", weight=3]; 13.84/5.37 847[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 847[label="",style="solid", color="blue", weight=9]; 13.84/5.37 847 -> 483[label="",style="solid", color="blue", weight=3]; 13.84/5.37 848[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 848[label="",style="solid", color="blue", weight=9]; 13.84/5.37 848 -> 484[label="",style="solid", color="blue", weight=3]; 13.84/5.37 849[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 849[label="",style="solid", color="blue", weight=9]; 13.84/5.37 849 -> 485[label="",style="solid", color="blue", weight=3]; 13.84/5.37 850[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];329 -> 850[label="",style="solid", color="blue", weight=9]; 13.84/5.37 850 -> 486[label="",style="solid", color="blue", weight=3]; 13.84/5.37 330 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 330[label="xy3000 == xy4000",fontsize=16,color="magenta"];330 -> 487[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 330 -> 488[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 331 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 331[label="xy3000 == xy4000",fontsize=16,color="magenta"];331 -> 489[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 331 -> 490[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 332 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 332[label="xy3000 == xy4000",fontsize=16,color="magenta"];332 -> 491[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 332 -> 492[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 333 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 333[label="xy3000 == xy4000",fontsize=16,color="magenta"];333 -> 493[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 333 -> 494[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 334 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 334[label="xy3000 == xy4000",fontsize=16,color="magenta"];334 -> 495[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 334 -> 496[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 335 -> 30[label="",style="dashed", color="red", weight=0]; 13.84/5.37 335[label="xy3000 == xy4000",fontsize=16,color="magenta"];335 -> 497[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 335 -> 498[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 336 -> 63[label="",style="dashed", color="red", weight=0]; 13.84/5.37 336[label="xy3000 == xy4000",fontsize=16,color="magenta"];336 -> 499[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 336 -> 500[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 337 -> 64[label="",style="dashed", color="red", weight=0]; 13.84/5.37 337[label="xy3000 == xy4000",fontsize=16,color="magenta"];337 -> 501[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 337 -> 502[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 338 -> 65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 338[label="xy3000 == xy4000",fontsize=16,color="magenta"];338 -> 503[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 338 -> 504[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 339 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 339[label="xy3000 == xy4000",fontsize=16,color="magenta"];339 -> 505[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 339 -> 506[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 340 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 340[label="xy3000 == xy4000",fontsize=16,color="magenta"];340 -> 507[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 340 -> 508[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 341 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 341[label="xy3000 == xy4000",fontsize=16,color="magenta"];341 -> 509[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 341 -> 510[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 342 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 342[label="xy3000 == xy4000",fontsize=16,color="magenta"];342 -> 511[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 342 -> 512[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 343 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 343[label="xy3000 == xy4000",fontsize=16,color="magenta"];343 -> 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-> 200[label="",style="dashed", color="red", weight=0]; 13.84/5.37 372[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];372 -> 515[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 372 -> 516[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 373[label="False",fontsize=16,color="green",shape="box"];374[label="False",fontsize=16,color="green",shape="box"];375[label="True",fontsize=16,color="green",shape="box"];376[label="False",fontsize=16,color="green",shape="box"];377[label="True",fontsize=16,color="green",shape="box"];378 -> 200[label="",style="dashed", color="red", weight=0]; 13.84/5.37 378[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];378 -> 517[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 378 -> 518[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 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519[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 852[label="xy3001/Neg xy30010",fontsize=10,color="white",style="solid",shape="box"];392 -> 852[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 852 -> 520[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 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(Succ xy30000) (Succ xy40000)",fontsize=16,color="black",shape="box"];451 -> 521[label="",style="solid", color="black", weight=3]; 13.84/5.37 452[label="primEqNat (Succ xy30000) Zero",fontsize=16,color="black",shape="box"];452 -> 522[label="",style="solid", color="black", weight=3]; 13.84/5.37 453[label="primEqNat Zero (Succ xy40000)",fontsize=16,color="black",shape="box"];453 -> 523[label="",style="solid", color="black", weight=3]; 13.84/5.37 454[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];454 -> 524[label="",style="solid", color="black", weight=3]; 13.84/5.37 455[label="xy4000",fontsize=16,color="green",shape="box"];456[label="xy3001",fontsize=16,color="green",shape="box"];457[label="xy4001",fontsize=16,color="green",shape="box"];458[label="xy3000",fontsize=16,color="green",shape="box"];459 -> 57[label="",style="dashed", color="red", weight=0]; 13.84/5.37 459[label="xy3002 == xy4002",fontsize=16,color="magenta"];459 -> 525[label="",style="dashed", 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weight=3]; 13.84/5.37 474 -> 58[label="",style="dashed", color="red", weight=0]; 13.84/5.37 474[label="xy3001 == xy4001",fontsize=16,color="magenta"];474 -> 555[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 474 -> 556[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 475 -> 59[label="",style="dashed", color="red", weight=0]; 13.84/5.37 475[label="xy3001 == xy4001",fontsize=16,color="magenta"];475 -> 557[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 475 -> 558[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 476 -> 60[label="",style="dashed", color="red", weight=0]; 13.84/5.37 476[label="xy3001 == xy4001",fontsize=16,color="magenta"];476 -> 559[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 476 -> 560[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 477 -> 61[label="",style="dashed", color="red", weight=0]; 13.84/5.37 477[label="xy3001 == xy4001",fontsize=16,color="magenta"];477 -> 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65[label="",style="dashed", color="red", weight=0]; 13.84/5.37 481[label="xy3001 == xy4001",fontsize=16,color="magenta"];481 -> 569[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 481 -> 570[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 482 -> 66[label="",style="dashed", color="red", weight=0]; 13.84/5.37 482[label="xy3001 == xy4001",fontsize=16,color="magenta"];482 -> 571[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 482 -> 572[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 483 -> 67[label="",style="dashed", color="red", weight=0]; 13.84/5.37 483[label="xy3001 == xy4001",fontsize=16,color="magenta"];483 -> 573[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 483 -> 574[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 484 -> 68[label="",style="dashed", color="red", weight=0]; 13.84/5.37 484[label="xy3001 == xy4001",fontsize=16,color="magenta"];484 -> 575[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 484 -> 576[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 485 -> 69[label="",style="dashed", color="red", weight=0]; 13.84/5.37 485[label="xy3001 == xy4001",fontsize=16,color="magenta"];485 -> 577[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 485 -> 578[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 486 -> 70[label="",style="dashed", color="red", weight=0]; 13.84/5.37 486[label="xy3001 == xy4001",fontsize=16,color="magenta"];486 -> 579[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 486 -> 580[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 487[label="xy4000",fontsize=16,color="green",shape="box"];488[label="xy3000",fontsize=16,color="green",shape="box"];489[label="xy4000",fontsize=16,color="green",shape="box"];490[label="xy3000",fontsize=16,color="green",shape="box"];491[label="xy4000",fontsize=16,color="green",shape="box"];492[label="xy3000",fontsize=16,color="green",shape="box"];493[label="xy4000",fontsize=16,color="green",shape="box"];494[label="xy3000",fontsize=16,color="green",shape="box"];495[label="xy4000",fontsize=16,color="green",shape="box"];496[label="xy3000",fontsize=16,color="green",shape="box"];497[label="xy4000",fontsize=16,color="green",shape="box"];498[label="xy3000",fontsize=16,color="green",shape="box"];499[label="xy4000",fontsize=16,color="green",shape="box"];500[label="xy3000",fontsize=16,color="green",shape="box"];501[label="xy4000",fontsize=16,color="green",shape="box"];502[label="xy3000",fontsize=16,color="green",shape="box"];503[label="xy4000",fontsize=16,color="green",shape="box"];504[label="xy3000",fontsize=16,color="green",shape="box"];505[label="xy4000",fontsize=16,color="green",shape="box"];506[label="xy3000",fontsize=16,color="green",shape="box"];507[label="xy4000",fontsize=16,color="green",shape="box"];508[label="xy3000",fontsize=16,color="green",shape="box"];509[label="xy4000",fontsize=16,color="green",shape="box"];510[label="xy3000",fontsize=16,color="green",shape="box"];511[label="xy4000",fontsize=16,color="green",shape="box"];512[label="xy3000",fontsize=16,color="green",shape="box"];513[label="xy4000",fontsize=16,color="green",shape="box"];514[label="xy3000",fontsize=16,color="green",shape="box"];515[label="xy30000",fontsize=16,color="green",shape="box"];516[label="xy40000",fontsize=16,color="green",shape="box"];517[label="xy30000",fontsize=16,color="green",shape="box"];518[label="xy40000",fontsize=16,color="green",shape="box"];519[label="primMulInt (Pos xy30010) xy4000",fontsize=16,color="burlywood",shape="box"];853[label="xy4000/Pos xy40000",fontsize=10,color="white",style="solid",shape="box"];519 -> 853[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 853 -> 581[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 854[label="xy4000/Neg xy40000",fontsize=10,color="white",style="solid",shape="box"];519 -> 854[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 854 -> 582[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 520[label="primMulInt (Neg xy30010) xy4000",fontsize=16,color="burlywood",shape="box"];855[label="xy4000/Pos xy40000",fontsize=10,color="white",style="solid",shape="box"];520 -> 855[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 855 -> 583[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 856[label="xy4000/Neg xy40000",fontsize=10,color="white",style="solid",shape="box"];520 -> 856[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 856 -> 584[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 521 -> 200[label="",style="dashed", color="red", weight=0]; 13.84/5.37 521[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];521 -> 585[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 521 -> 586[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 522[label="False",fontsize=16,color="green",shape="box"];523[label="False",fontsize=16,color="green",shape="box"];524[label="True",fontsize=16,color="green",shape="box"];525[label="xy4002",fontsize=16,color="green",shape="box"];526[label="xy3002",fontsize=16,color="green",shape="box"];527[label="xy4002",fontsize=16,color="green",shape="box"];528[label="xy3002",fontsize=16,color="green",shape="box"];529[label="xy4002",fontsize=16,color="green",shape="box"];530[label="xy3002",fontsize=16,color="green",shape="box"];531[label="xy4002",fontsize=16,color="green",shape="box"];532[label="xy3002",fontsize=16,color="green",shape="box"];533[label="xy4002",fontsize=16,color="green",shape="box"];534[label="xy3002",fontsize=16,color="green",shape="box"];535[label="xy4002",fontsize=16,color="green",shape="box"];536[label="xy3002",fontsize=16,color="green",shape="box"];537[label="xy4002",fontsize=16,color="green",shape="box"];538[label="xy3002",fontsize=16,color="green",shape="box"];539[label="xy4002",fontsize=16,color="green",shape="box"];540[label="xy3002",fontsize=16,color="green",shape="box"];541[label="xy4002",fontsize=16,color="green",shape="box"];542[label="xy3002",fontsize=16,color="green",shape="box"];543[label="xy4002",fontsize=16,color="green",shape="box"];544[label="xy3002",fontsize=16,color="green",shape="box"];545[label="xy4002",fontsize=16,color="green",shape="box"];546[label="xy3002",fontsize=16,color="green",shape="box"];547[label="xy4002",fontsize=16,color="green",shape="box"];548[label="xy3002",fontsize=16,color="green",shape="box"];549[label="xy4002",fontsize=16,color="green",shape="box"];550[label="xy3002",fontsize=16,color="green",shape="box"];551[label="xy4002",fontsize=16,color="green",shape="box"];552[label="xy3002",fontsize=16,color="green",shape="box"];553[label="xy4001",fontsize=16,color="green",shape="box"];554[label="xy3001",fontsize=16,color="green",shape="box"];555[label="xy4001",fontsize=16,color="green",shape="box"];556[label="xy3001",fontsize=16,color="green",shape="box"];557[label="xy4001",fontsize=16,color="green",shape="box"];558[label="xy3001",fontsize=16,color="green",shape="box"];559[label="xy4001",fontsize=16,color="green",shape="box"];560[label="xy3001",fontsize=16,color="green",shape="box"];561[label="xy4001",fontsize=16,color="green",shape="box"];562[label="xy3001",fontsize=16,color="green",shape="box"];563[label="xy4001",fontsize=16,color="green",shape="box"];564[label="xy3001",fontsize=16,color="green",shape="box"];565[label="xy4001",fontsize=16,color="green",shape="box"];566[label="xy3001",fontsize=16,color="green",shape="box"];567[label="xy4001",fontsize=16,color="green",shape="box"];568[label="xy3001",fontsize=16,color="green",shape="box"];569[label="xy4001",fontsize=16,color="green",shape="box"];570[label="xy3001",fontsize=16,color="green",shape="box"];571[label="xy4001",fontsize=16,color="green",shape="box"];572[label="xy3001",fontsize=16,color="green",shape="box"];573[label="xy4001",fontsize=16,color="green",shape="box"];574[label="xy3001",fontsize=16,color="green",shape="box"];575[label="xy4001",fontsize=16,color="green",shape="box"];576[label="xy3001",fontsize=16,color="green",shape="box"];577[label="xy4001",fontsize=16,color="green",shape="box"];578[label="xy3001",fontsize=16,color="green",shape="box"];579[label="xy4001",fontsize=16,color="green",shape="box"];580[label="xy3001",fontsize=16,color="green",shape="box"];581[label="primMulInt (Pos xy30010) (Pos xy40000)",fontsize=16,color="black",shape="box"];581 -> 587[label="",style="solid", color="black", weight=3]; 13.84/5.37 582[label="primMulInt (Pos xy30010) (Neg xy40000)",fontsize=16,color="black",shape="box"];582 -> 588[label="",style="solid", color="black", weight=3]; 13.84/5.37 583[label="primMulInt (Neg xy30010) (Pos xy40000)",fontsize=16,color="black",shape="box"];583 -> 589[label="",style="solid", color="black", weight=3]; 13.84/5.37 584[label="primMulInt (Neg xy30010) (Neg xy40000)",fontsize=16,color="black",shape="box"];584 -> 590[label="",style="solid", color="black", weight=3]; 13.84/5.37 585[label="xy30000",fontsize=16,color="green",shape="box"];586[label="xy40000",fontsize=16,color="green",shape="box"];587[label="Pos (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];587 -> 591[label="",style="dashed", color="green", weight=3]; 13.84/5.37 588[label="Neg (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];588 -> 592[label="",style="dashed", color="green", weight=3]; 13.84/5.37 589[label="Neg (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];589 -> 593[label="",style="dashed", color="green", weight=3]; 13.84/5.37 590[label="Pos (primMulNat xy30010 xy40000)",fontsize=16,color="green",shape="box"];590 -> 594[label="",style="dashed", color="green", weight=3]; 13.84/5.37 591[label="primMulNat xy30010 xy40000",fontsize=16,color="burlywood",shape="triangle"];857[label="xy30010/Succ xy300100",fontsize=10,color="white",style="solid",shape="box"];591 -> 857[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 857 -> 595[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 858[label="xy30010/Zero",fontsize=10,color="white",style="solid",shape="box"];591 -> 858[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 858 -> 596[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 592 -> 591[label="",style="dashed", color="red", weight=0]; 13.84/5.37 592[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];592 -> 597[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 593 -> 591[label="",style="dashed", color="red", weight=0]; 13.84/5.37 593[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];593 -> 598[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 594 -> 591[label="",style="dashed", color="red", weight=0]; 13.84/5.37 594[label="primMulNat xy30010 xy40000",fontsize=16,color="magenta"];594 -> 599[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 594 -> 600[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 595[label="primMulNat (Succ xy300100) xy40000",fontsize=16,color="burlywood",shape="box"];859[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];595 -> 859[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 859 -> 601[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 860[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];595 -> 860[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 860 -> 602[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 596[label="primMulNat Zero xy40000",fontsize=16,color="burlywood",shape="box"];861[label="xy40000/Succ xy400000",fontsize=10,color="white",style="solid",shape="box"];596 -> 861[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 861 -> 603[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 862[label="xy40000/Zero",fontsize=10,color="white",style="solid",shape="box"];596 -> 862[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 862 -> 604[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 597[label="xy40000",fontsize=16,color="green",shape="box"];598[label="xy30010",fontsize=16,color="green",shape="box"];599[label="xy40000",fontsize=16,color="green",shape="box"];600[label="xy30010",fontsize=16,color="green",shape="box"];601[label="primMulNat (Succ xy300100) (Succ xy400000)",fontsize=16,color="black",shape="box"];601 -> 605[label="",style="solid", color="black", weight=3]; 13.84/5.37 602[label="primMulNat (Succ xy300100) Zero",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3]; 13.84/5.37 603[label="primMulNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];603 -> 607[label="",style="solid", color="black", weight=3]; 13.84/5.37 604[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];604 -> 608[label="",style="solid", color="black", weight=3]; 13.84/5.37 605 -> 609[label="",style="dashed", color="red", weight=0]; 13.84/5.37 605[label="primPlusNat (primMulNat xy300100 (Succ xy400000)) (Succ xy400000)",fontsize=16,color="magenta"];605 -> 610[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 606[label="Zero",fontsize=16,color="green",shape="box"];607[label="Zero",fontsize=16,color="green",shape="box"];608[label="Zero",fontsize=16,color="green",shape="box"];610 -> 591[label="",style="dashed", color="red", weight=0]; 13.84/5.37 610[label="primMulNat xy300100 (Succ xy400000)",fontsize=16,color="magenta"];610 -> 611[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 610 -> 612[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 609[label="primPlusNat xy11 (Succ xy400000)",fontsize=16,color="burlywood",shape="triangle"];863[label="xy11/Succ xy110",fontsize=10,color="white",style="solid",shape="box"];609 -> 863[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 863 -> 613[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 864[label="xy11/Zero",fontsize=10,color="white",style="solid",shape="box"];609 -> 864[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 864 -> 614[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 611[label="Succ xy400000",fontsize=16,color="green",shape="box"];612[label="xy300100",fontsize=16,color="green",shape="box"];613[label="primPlusNat (Succ xy110) (Succ xy400000)",fontsize=16,color="black",shape="box"];613 -> 615[label="",style="solid", color="black", weight=3]; 13.84/5.37 614[label="primPlusNat Zero (Succ xy400000)",fontsize=16,color="black",shape="box"];614 -> 616[label="",style="solid", color="black", weight=3]; 13.84/5.37 615[label="Succ (Succ (primPlusNat xy110 xy400000))",fontsize=16,color="green",shape="box"];615 -> 617[label="",style="dashed", color="green", weight=3]; 13.84/5.37 616[label="Succ xy400000",fontsize=16,color="green",shape="box"];617[label="primPlusNat xy110 xy400000",fontsize=16,color="burlywood",shape="triangle"];865[label="xy110/Succ xy1100",fontsize=10,color="white",style="solid",shape="box"];617 -> 865[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 865 -> 618[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 866[label="xy110/Zero",fontsize=10,color="white",style="solid",shape="box"];617 -> 866[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 866 -> 619[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 618[label="primPlusNat (Succ xy1100) xy400000",fontsize=16,color="burlywood",shape="box"];867[label="xy400000/Succ xy4000000",fontsize=10,color="white",style="solid",shape="box"];618 -> 867[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 867 -> 620[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 868[label="xy400000/Zero",fontsize=10,color="white",style="solid",shape="box"];618 -> 868[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 868 -> 621[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 619[label="primPlusNat Zero xy400000",fontsize=16,color="burlywood",shape="box"];869[label="xy400000/Succ xy4000000",fontsize=10,color="white",style="solid",shape="box"];619 -> 869[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 869 -> 622[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 870[label="xy400000/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 870[label="",style="solid", color="burlywood", weight=9]; 13.84/5.37 870 -> 623[label="",style="solid", color="burlywood", weight=3]; 13.84/5.37 620[label="primPlusNat (Succ xy1100) (Succ xy4000000)",fontsize=16,color="black",shape="box"];620 -> 624[label="",style="solid", color="black", weight=3]; 13.84/5.37 621[label="primPlusNat (Succ xy1100) Zero",fontsize=16,color="black",shape="box"];621 -> 625[label="",style="solid", color="black", weight=3]; 13.84/5.37 622[label="primPlusNat Zero (Succ xy4000000)",fontsize=16,color="black",shape="box"];622 -> 626[label="",style="solid", color="black", weight=3]; 13.84/5.37 623[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];623 -> 627[label="",style="solid", color="black", weight=3]; 13.84/5.37 624[label="Succ (Succ (primPlusNat xy1100 xy4000000))",fontsize=16,color="green",shape="box"];624 -> 628[label="",style="dashed", color="green", weight=3]; 13.84/5.37 625[label="Succ xy1100",fontsize=16,color="green",shape="box"];626[label="Succ xy4000000",fontsize=16,color="green",shape="box"];627[label="Zero",fontsize=16,color="green",shape="box"];628 -> 617[label="",style="dashed", color="red", weight=0]; 13.84/5.37 628[label="primPlusNat xy1100 xy4000000",fontsize=16,color="magenta"];628 -> 629[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 628 -> 630[label="",style="dashed", color="magenta", weight=3]; 13.84/5.37 629[label="xy1100",fontsize=16,color="green",shape="box"];630[label="xy4000000",fontsize=16,color="green",shape="box"];} 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (6) 13.84/5.37 Complex Obligation (AND) 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (7) 13.84/5.37 Obligation: 13.84/5.37 Q DP problem: 13.84/5.37 The TRS P consists of the following rules: 13.84/5.37 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bf), bg)) -> new_esEs2(xy3000, xy4000, bf, bg) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(app(ty_@3, ga), gb), gc))) -> new_esEs3(xy3001, xy4001, ga, gb, gc) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, hc), hd), he), gf) -> new_esEs3(xy3000, xy4000, hc, hd, he) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_[], bd))) -> new_esEs(xy3000, xy4000, bd) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bcc), bcd), hg, bbc) -> new_esEs0(xy3000, xy4000, bcc, bcd) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], bce)), hg), bbc)) -> new_esEs(xy3000, xy4000, bce) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_Either, hh), baa)) -> new_esEs0(xy3002, xy4002, hh, baa) 13.84/5.37 new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_Maybe, cg)), ce)) -> new_esEs1(xy3000, xy4000, cg) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(ty_Either, hh), baa))) -> new_esEs0(xy3002, xy4002, hh, baa) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(ty_@2, fg), fh)) -> new_esEs2(xy3001, xy4001, fg, fh) 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, be)) -> new_esEs1(xy3000, xy4000, be) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(app(ty_@3, bbh), bca), bcb)), bbc)) -> new_esEs3(xy3001, xy4001, bbh, bca, bcb) 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bd)) -> new_esEs(xy3000, xy4000, bd) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(ty_Either, bba), bbb)), bbc)) -> new_esEs0(xy3001, xy4001, bba, bbb) 13.84/5.37 new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(ty_Either, dg), dh))) -> new_esEs0(xy3000, xy4000, dg, dh) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(ty_@2, bbf), bbg), bbc) -> new_esEs2(xy3001, xy4001, bbf, bbg) 13.84/5.37 new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy3000, xy4000, cc, cd) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, bh), ca), cb))) -> new_esEs3(xy3000, xy4000, bh, ca, cb) 13.84/5.37 new_esEs0(Left(xy3000), Left(xy4000), app(app(app(ty_@3, dc), dd), de), ce) -> new_esEs3(xy3000, xy4000, dc, dd, de) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, bf), bg))) -> new_esEs2(xy3000, xy4000, bf, bg) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(ty_[], bab))) -> new_esEs(xy3002, xy4002, bab) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(ty_Either, fb), fc)) -> new_esEs0(xy3001, xy4001, fb, fc) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, bb), bc))) -> new_esEs0(xy3000, xy4000, bb, bc) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(app(ty_@3, bbh), bca), bcb), bbc) -> new_esEs3(xy3001, xy4001, bbh, bca, bcb) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(ty_[], bbd), bbc) -> new_esEs(xy3001, xy4001, bbd) 13.84/5.37 new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_@2, da), db)), ce)) -> new_esEs2(xy3000, xy4000, da, db) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, hc), hd), he)), gf)) -> new_esEs3(xy3000, xy4000, hc, hd, he) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(ty_@2, bbf), bbg)), bbc)) -> new_esEs2(xy3001, xy4001, bbf, bbg) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bcf), hg, bbc) -> new_esEs1(xy3000, xy4000, bcf) 13.84/5.37 new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), ce)) -> new_esEs3(xy3000, xy4000, dc, dd, de) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], gg)), gf)) -> new_esEs(xy3000, xy4000, gg) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, ha), hb)), gf)) -> new_esEs2(xy3000, xy4000, ha, hb) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, gh), gf) -> new_esEs1(xy3000, xy4000, gh) 13.84/5.37 new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, eh)) -> new_esEs1(xy300, xy400, eh) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_Maybe, bac)) -> new_esEs1(xy3002, xy4002, bac) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(ty_Maybe, bbe)), bbc)) -> new_esEs1(xy3001, xy4001, bbe) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(ty_@2, bad), bae))) -> new_esEs2(xy3002, xy4002, bad, bae) 13.84/5.37 new_esEs0(Left(xy3000), Left(xy4000), app(ty_[], cf), ce) -> new_esEs(xy3000, xy4000, cf) 13.84/5.37 new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xy3000, xy4000, ec, ed) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, bcc), bcd)), hg), bbc)) -> new_esEs0(xy3000, xy4000, bcc, bcd) 13.84/5.37 new_esEs0(Left(xy3000), Left(xy4000), app(ty_Maybe, cg), ce) -> new_esEs1(xy3000, xy4000, cg) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(ty_[], fd))) -> new_esEs(xy3001, xy4001, fd) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(ty_[], bbd)), bbc)) -> new_esEs(xy3001, xy4001, bbd) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(ty_Either, bba), bbb), bbc) -> new_esEs0(xy3001, xy4001, bba, bbb) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, bda), bdb), bdc), hg, bbc) -> new_esEs3(xy3000, xy4000, bda, bdb, bdc) 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs3(xy3000, xy4000, bh, ca, cb) 13.84/5.37 new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_@2, da), db), ce) -> new_esEs2(xy3000, xy4000, da, db) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(ty_[], fd)) -> new_esEs(xy3001, xy4001, fd) 13.84/5.37 new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy3000, xy4000, dg, dh) 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), ba) -> new_esEs(xy3001, xy4001, ba) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(ty_Maybe, bac))) -> new_esEs1(xy3002, xy4002, bac) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, bcf)), hg), bbc)) -> new_esEs1(xy3000, xy4000, bcf) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, bda), bdb), bdc)), hg), bbc)) -> new_esEs3(xy3000, xy4000, bda, bdb, bdc) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(ty_@2, fg), fh))) -> new_esEs2(xy3001, xy4001, fg, fh) 13.84/5.37 new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_[], ea)) -> new_esEs(xy3000, xy4000, ea) 13.84/5.37 new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) -> new_esEs3(xy3000, xy4000, ee, ef, eg) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs3(xy3002, xy4002, baf, bag, bah) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, ha), hb), gf) -> new_esEs2(xy3000, xy4000, ha, hb) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, gd), ge), gf) -> new_esEs0(xy3000, xy4000, gd, ge) 13.84/5.37 new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_Either, cc), cd)), ce)) -> new_esEs0(xy3000, xy4000, cc, cd) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_@2, bad), bae)) -> new_esEs2(xy3002, xy4002, bad, bae) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs3(xy3001, xy4001, ga, gb, gc) 13.84/5.37 new_esEs0(Right(xy3000), Right(xy4000), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xy3000, xy4000, ee, ef, eg) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(ty_Maybe, ff))) -> new_esEs1(xy3001, xy4001, ff) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, bcg), bch)), hg), bbc)) -> new_esEs2(xy3000, xy4000, bcg, bch) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bcg), bch), hg, bbc) -> new_esEs2(xy3000, xy4000, bcg, bch) 13.84/5.37 new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_Maybe, eb)) -> new_esEs1(xy3000, xy4000, eb) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_[], bab)) -> new_esEs(xy3002, xy4002, bab) 13.84/5.37 new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xy3000, xy4000, bb, bc) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], gg), gf) -> new_esEs(xy3000, xy4000, gg) 13.84/5.37 new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(ty_Maybe, eb))) -> new_esEs1(xy3000, xy4000, eb) 13.84/5.37 new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(ty_Maybe, ff)) -> new_esEs1(xy3001, xy4001, ff) 13.84/5.37 new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) -> new_esEs2(xy3000, xy4000, ec, ed) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, gh)), gf)) -> new_esEs1(xy3000, xy4000, gh) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(ty_Maybe, bbe), bbc) -> new_esEs1(xy3001, xy4001, bbe) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, be))) -> new_esEs1(xy3000, xy4000, be) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, gd), ge)), gf)) -> new_esEs0(xy3000, xy4000, gd, ge) 13.84/5.37 new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], bce), hg, bbc) -> new_esEs(xy3000, xy4000, bce) 13.84/5.37 new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_[], cf)), ce)) -> new_esEs(xy3000, xy4000, cf) 13.84/5.37 new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(ty_[], ea))) -> new_esEs(xy3000, xy4000, ea) 13.84/5.37 new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(app(ty_@3, baf), bag), bah))) -> new_esEs3(xy3002, xy4002, baf, bag, bah) 13.84/5.37 new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(ty_Either, fb), fc))) -> new_esEs0(xy3001, xy4001, fb, fc) 13.84/5.37 new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], ba)) -> new_esEs(xy3001, xy4001, ba) 13.84/5.37 13.84/5.37 R is empty. 13.84/5.37 Q is empty. 13.84/5.37 We have to consider all minimal (P,Q,R)-chains. 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (8) QDPSizeChangeProof (EQUIVALENT) 13.84/5.37 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. 13.84/5.37 13.84/5.37 From the DPs we obtained the following set of size-change graphs: 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, be)) -> new_esEs1(xy3000, xy4000, be) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bf), bg)) -> new_esEs2(xy3000, xy4000, bf, bg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, bh), ca), cb)) -> new_esEs3(xy3000, xy4000, bh, ca, cb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xy3000, xy4000, bb, bc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(ty_[], fd)) -> new_esEs(xy3001, xy4001, fd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_[], gg), gf) -> new_esEs(xy3000, xy4000, gg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(ty_Maybe, gh), gf) -> new_esEs1(xy3000, xy4000, gh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(ty_Maybe, ff)) -> new_esEs1(xy3001, xy4001, ff) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(ty_@2, fg), fh)) -> new_esEs2(xy3001, xy4001, fg, fh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_@2, ha), hb), gf) -> new_esEs2(xy3000, xy4000, ha, hb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(app(ty_@3, hc), hd), he), gf) -> new_esEs3(xy3000, xy4000, hc, hd, he) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(app(ty_@3, ga), gb), gc)) -> new_esEs3(xy3001, xy4001, ga, gb, gc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), fa, app(app(ty_Either, fb), fc)) -> new_esEs0(xy3001, xy4001, fb, fc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs2(@2(xy3000, xy3001), @2(xy4000, xy4001), app(app(ty_Either, gd), ge), gf) -> new_esEs0(xy3000, xy4000, gd, ge) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(ty_[], bbd), bbc) -> new_esEs(xy3001, xy4001, bbd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_[], bab)) -> new_esEs(xy3002, xy4002, bab) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], bce), hg, bbc) -> new_esEs(xy3000, xy4000, bce) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], bd)) -> new_esEs(xy3000, xy4000, bd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), ba) -> new_esEs(xy3001, xy4001, ba) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Left(xy3000), Left(xy4000), app(ty_[], cf), ce) -> new_esEs(xy3000, xy4000, cf) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_[], ea)) -> new_esEs(xy3000, xy4000, ea) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_[], bd))) -> new_esEs(xy3000, xy4000, bd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_[], bce)), hg), bbc)) -> new_esEs(xy3000, xy4000, bce) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(ty_[], bab))) -> new_esEs(xy3002, xy4002, bab) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_[], gg)), gf)) -> new_esEs(xy3000, xy4000, gg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(ty_[], fd))) -> new_esEs(xy3001, xy4001, fd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(ty_[], bbd)), bbc)) -> new_esEs(xy3001, xy4001, bbd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_[], cf)), ce)) -> new_esEs(xy3000, xy4000, cf) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(ty_[], ea))) -> new_esEs(xy3000, xy4000, ea) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], ba)) -> new_esEs(xy3001, xy4001, ba) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, bcf), hg, bbc) -> new_esEs1(xy3000, xy4000, bcf) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(ty_Maybe, bac)) -> new_esEs1(xy3002, xy4002, bac) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(ty_Maybe, bbe), bbc) -> new_esEs1(xy3001, xy4001, bbe) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(ty_@2, bbf), bbg), bbc) -> new_esEs2(xy3001, xy4001, bbf, bbg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_@2, bad), bae)) -> new_esEs2(xy3002, xy4002, bad, bae) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, bcg), bch), hg, bbc) -> new_esEs2(xy3000, xy4000, bcg, bch) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(app(ty_@3, bbh), bca), bcb), bbc) -> new_esEs3(xy3001, xy4001, bbh, bca, bcb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, bda), bdb), bdc), hg, bbc) -> new_esEs3(xy3000, xy4000, bda, bdb, bdc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(app(ty_@3, baf), bag), bah)) -> new_esEs3(xy3002, xy4002, baf, bag, bah) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, bcc), bcd), hg, bbc) -> new_esEs0(xy3000, xy4000, bcc, bcd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, hg, app(app(ty_Either, hh), baa)) -> new_esEs0(xy3002, xy4002, hh, baa) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs3(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), hf, app(app(ty_Either, bba), bbb), bbc) -> new_esEs0(xy3001, xy4001, bba, bbb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Left(xy3000), Left(xy4000), app(ty_Maybe, cg), ce) -> new_esEs1(xy3000, xy4000, cg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_Maybe, eb)) -> new_esEs1(xy3000, xy4000, eb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(ty_Maybe, cg)), ce)) -> new_esEs1(xy3000, xy4000, cg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(xy300), Just(xy400), app(ty_Maybe, eh)) -> new_esEs1(xy300, xy400, eh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(ty_Maybe, bbe)), bbc)) -> new_esEs1(xy3001, xy4001, bbe) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(ty_Maybe, bac))) -> new_esEs1(xy3002, xy4002, bac) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(ty_Maybe, bcf)), hg), bbc)) -> new_esEs1(xy3000, xy4000, bcf) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(ty_Maybe, ff))) -> new_esEs1(xy3001, xy4001, ff) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(ty_Maybe, eb))) -> new_esEs1(xy3000, xy4000, eb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(ty_Maybe, gh)), gf)) -> new_esEs1(xy3000, xy4000, gh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(ty_Maybe, be))) -> new_esEs1(xy3000, xy4000, be) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xy3000, xy4000, ec, ed) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_@2, da), db), ce) -> new_esEs2(xy3000, xy4000, da, db) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_@2, bf), bg))) -> new_esEs2(xy3000, xy4000, bf, bg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_@2, da), db)), ce)) -> new_esEs2(xy3000, xy4000, da, db) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(ty_@2, bbf), bbg)), bbc)) -> new_esEs2(xy3001, xy4001, bbf, bbg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_@2, ha), hb)), gf)) -> new_esEs2(xy3000, xy4000, ha, hb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(ty_@2, bad), bae))) -> new_esEs2(xy3002, xy4002, bad, bae) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(ty_@2, fg), fh))) -> new_esEs2(xy3001, xy4001, fg, fh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_@2, bcg), bch)), hg), bbc)) -> new_esEs2(xy3000, xy4000, bcg, bch) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) -> new_esEs2(xy3000, xy4000, ec, ed) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Left(xy3000), Left(xy4000), app(app(app(ty_@3, dc), dd), de), ce) -> new_esEs3(xy3000, xy4000, dc, dd, de) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Right(xy3000), Right(xy4000), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xy3000, xy4000, ee, ef, eg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_Either, cc), cd), ce) -> new_esEs0(xy3000, xy4000, cc, cd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_Either, dg), dh)) -> new_esEs0(xy3000, xy4000, dg, dh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(app(ty_@3, ga), gb), gc))) -> new_esEs3(xy3001, xy4001, ga, gb, gc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(app(ty_@3, bbh), bca), bcb)), bbc)) -> new_esEs3(xy3001, xy4001, bbh, bca, bcb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(app(ty_@3, bh), ca), cb))) -> new_esEs3(xy3000, xy4000, bh, ca, cb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(app(ty_@3, hc), hd), he)), gf)) -> new_esEs3(xy3000, xy4000, hc, hd, he) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), ce)) -> new_esEs3(xy3000, xy4000, dc, dd, de) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(app(ty_@3, bda), bdb), bdc)), hg), bbc)) -> new_esEs3(xy3000, xy4000, bda, bdb, bdc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) -> new_esEs3(xy3000, xy4000, ee, ef, eg) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(app(ty_@3, baf), bag), bah))) -> new_esEs3(xy3002, xy4002, baf, bag, bah) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), hg), app(app(ty_Either, hh), baa))) -> new_esEs0(xy3002, xy4002, hh, baa) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, hf), app(app(ty_Either, bba), bbb)), bbc)) -> new_esEs0(xy3001, xy4001, bba, bbb) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Right(xy3000)), Just(Right(xy4000)), app(app(ty_Either, df), app(app(ty_Either, dg), dh))) -> new_esEs0(xy3000, xy4000, dg, dh) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(:(xy3000, xy3001)), Just(:(xy4000, xy4001)), app(ty_[], app(app(ty_Either, bb), bc))) -> new_esEs0(xy3000, xy4000, bb, bc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@3(xy3000, xy3001, xy3002)), Just(@3(xy4000, xy4001, xy4002)), app(app(app(ty_@3, app(app(ty_Either, bcc), bcd)), hg), bbc)) -> new_esEs0(xy3000, xy4000, bcc, bcd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(Left(xy3000)), Just(Left(xy4000)), app(app(ty_Either, app(app(ty_Either, cc), cd)), ce)) -> new_esEs0(xy3000, xy4000, cc, cd) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, app(app(ty_Either, gd), ge)), gf)) -> new_esEs0(xy3000, xy4000, gd, ge) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 *new_esEs1(Just(@2(xy3000, xy3001)), Just(@2(xy4000, xy4001)), app(app(ty_@2, fa), app(app(ty_Either, fb), fc))) -> new_esEs0(xy3001, xy4001, fb, fc) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 13.84/5.37 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (9) 13.84/5.37 YES 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (10) 13.84/5.37 Obligation: 13.84/5.37 Q DP problem: 13.84/5.37 The TRS P consists of the following rules: 13.84/5.37 13.84/5.37 new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) 13.84/5.37 13.84/5.37 R is empty. 13.84/5.37 Q is empty. 13.84/5.37 We have to consider all minimal (P,Q,R)-chains. 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (11) QDPSizeChangeProof (EQUIVALENT) 13.84/5.37 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. 13.84/5.37 13.84/5.37 From the DPs we obtained the following set of size-change graphs: 13.84/5.37 *new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba) -> new_isPrefixOf(xy31, xy41, ba) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 13.84/5.37 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (12) 13.84/5.37 YES 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (13) 13.84/5.37 Obligation: 13.84/5.37 Q DP problem: 13.84/5.37 The TRS P consists of the following rules: 13.84/5.37 13.84/5.37 new_primMulNat(Succ(xy300100), Succ(xy400000)) -> new_primMulNat(xy300100, Succ(xy400000)) 13.84/5.37 13.84/5.37 R is empty. 13.84/5.37 Q is empty. 13.84/5.37 We have to consider all minimal (P,Q,R)-chains. 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (14) QDPSizeChangeProof (EQUIVALENT) 13.84/5.37 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. 13.84/5.37 13.84/5.37 From the DPs we obtained the following set of size-change graphs: 13.84/5.37 *new_primMulNat(Succ(xy300100), Succ(xy400000)) -> new_primMulNat(xy300100, Succ(xy400000)) 13.84/5.37 The graph contains the following edges 1 > 1, 2 >= 2 13.84/5.37 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (15) 13.84/5.37 YES 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (16) 13.84/5.37 Obligation: 13.84/5.37 Q DP problem: 13.84/5.37 The TRS P consists of the following rules: 13.84/5.37 13.84/5.37 new_primPlusNat(Succ(xy1100), Succ(xy4000000)) -> new_primPlusNat(xy1100, xy4000000) 13.84/5.37 13.84/5.37 R is empty. 13.84/5.37 Q is empty. 13.84/5.37 We have to consider all minimal (P,Q,R)-chains. 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (17) QDPSizeChangeProof (EQUIVALENT) 13.84/5.37 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. 13.84/5.37 13.84/5.37 From the DPs we obtained the following set of size-change graphs: 13.84/5.37 *new_primPlusNat(Succ(xy1100), Succ(xy4000000)) -> new_primPlusNat(xy1100, xy4000000) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2 13.84/5.37 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (18) 13.84/5.37 YES 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (19) 13.84/5.37 Obligation: 13.84/5.37 Q DP problem: 13.84/5.37 The TRS P consists of the following rules: 13.84/5.37 13.84/5.37 new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) 13.84/5.37 13.84/5.37 R is empty. 13.84/5.37 Q is empty. 13.84/5.37 We have to consider all minimal (P,Q,R)-chains. 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (20) QDPSizeChangeProof (EQUIVALENT) 13.84/5.37 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. 13.84/5.37 13.84/5.37 From the DPs we obtained the following set of size-change graphs: 13.84/5.37 *new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000) 13.84/5.37 The graph contains the following edges 1 > 1, 2 > 2 13.84/5.37 13.84/5.37 13.84/5.37 ---------------------------------------- 13.84/5.37 13.84/5.37 (21) 13.84/5.37 YES 14.02/5.42 EOF