9.45/4.02 YES 10.85/4.45 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.85/4.45 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.85/4.45 10.85/4.45 10.85/4.45 H-Termination with start terms of the given HASKELL could be proven: 10.85/4.45 10.85/4.45 (0) HASKELL 10.85/4.45 (1) BR [EQUIVALENT, 0 ms] 10.85/4.45 (2) HASKELL 10.85/4.45 (3) COR [EQUIVALENT, 0 ms] 10.85/4.45 (4) HASKELL 10.85/4.45 (5) Narrow [SOUND, 0 ms] 10.85/4.45 (6) AND 10.85/4.45 (7) QDP 10.85/4.45 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.85/4.45 (9) YES 10.85/4.45 (10) QDP 10.85/4.45 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.85/4.45 (12) YES 10.85/4.45 (13) QDP 10.85/4.45 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.85/4.45 (15) YES 10.85/4.45 (16) QDP 10.85/4.45 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.85/4.45 (18) YES 10.85/4.45 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (0) 10.85/4.45 Obligation: 10.85/4.45 mainModule Main 10.85/4.45 module Main where { 10.85/4.45 import qualified Prelude; 10.85/4.45 } 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (1) BR (EQUIVALENT) 10.85/4.45 Replaced joker patterns by fresh variables and removed binding patterns. 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (2) 10.85/4.45 Obligation: 10.85/4.45 mainModule Main 10.85/4.45 module Main where { 10.85/4.45 import qualified Prelude; 10.85/4.45 } 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (3) COR (EQUIVALENT) 10.85/4.45 Cond Reductions: 10.85/4.45 The following Function with conditions 10.85/4.45 "undefined |Falseundefined; 10.85/4.45 " 10.85/4.45 is transformed to 10.85/4.45 "undefined = undefined1; 10.85/4.45 " 10.85/4.45 "undefined0 True = undefined; 10.85/4.45 " 10.85/4.45 "undefined1 = undefined0 False; 10.85/4.45 " 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (4) 10.85/4.45 Obligation: 10.85/4.45 mainModule Main 10.85/4.45 module Main where { 10.85/4.45 import qualified Prelude; 10.85/4.45 } 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (5) Narrow (SOUND) 10.85/4.45 Haskell To QDPs 10.85/4.45 10.85/4.45 digraph dp_graph { 10.85/4.45 node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 10.85/4.45 3[label="(==) xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 10.85/4.45 4[label="(==) xv3 xv4",fontsize=16,color="burlywood",shape="triangle"];611[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];4 -> 611[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 611 -> 5[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 612[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];4 -> 612[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 612 -> 6[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 5[label="(==) Nothing xv4",fontsize=16,color="burlywood",shape="box"];613[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];5 -> 613[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 613 -> 7[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 614[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];5 -> 614[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 614 -> 8[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 6[label="(==) Just xv30 xv4",fontsize=16,color="burlywood",shape="box"];615[label="xv4/Nothing",fontsize=10,color="white",style="solid",shape="box"];6 -> 615[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 615 -> 9[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 616[label="xv4/Just xv40",fontsize=10,color="white",style="solid",shape="box"];6 -> 616[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 616 -> 10[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 7[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];7 -> 11[label="",style="solid", color="black", weight=3]; 10.85/4.45 8[label="(==) Nothing Just xv40",fontsize=16,color="black",shape="box"];8 -> 12[label="",style="solid", color="black", weight=3]; 10.85/4.45 9[label="(==) Just xv30 Nothing",fontsize=16,color="black",shape="box"];9 -> 13[label="",style="solid", color="black", weight=3]; 10.85/4.45 10[label="(==) Just xv30 Just xv40",fontsize=16,color="black",shape="box"];10 -> 14[label="",style="solid", color="black", weight=3]; 10.85/4.45 11[label="True",fontsize=16,color="green",shape="box"];12[label="False",fontsize=16,color="green",shape="box"];13[label="False",fontsize=16,color="green",shape="box"];14[label="xv30 == xv40",fontsize=16,color="blue",shape="box"];617[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 617[label="",style="solid", color="blue", weight=9]; 10.85/4.45 617 -> 15[label="",style="solid", color="blue", weight=3]; 10.85/4.45 618[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 618[label="",style="solid", color="blue", weight=9]; 10.85/4.45 618 -> 16[label="",style="solid", color="blue", weight=3]; 10.85/4.45 619[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 619[label="",style="solid", color="blue", weight=9]; 10.85/4.45 619 -> 17[label="",style="solid", color="blue", weight=3]; 10.85/4.45 620[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 620[label="",style="solid", color="blue", weight=9]; 10.85/4.45 620 -> 18[label="",style="solid", color="blue", weight=3]; 10.85/4.45 621[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 621[label="",style="solid", color="blue", weight=9]; 10.85/4.45 621 -> 19[label="",style="solid", color="blue", weight=3]; 10.85/4.45 622[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 622[label="",style="solid", color="blue", weight=9]; 10.85/4.45 622 -> 20[label="",style="solid", color="blue", weight=3]; 10.85/4.45 623[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 623[label="",style="solid", color="blue", weight=9]; 10.85/4.45 623 -> 21[label="",style="solid", color="blue", weight=3]; 10.85/4.45 624[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 624[label="",style="solid", color="blue", weight=9]; 10.85/4.45 624 -> 22[label="",style="solid", color="blue", weight=3]; 10.85/4.45 625[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 625[label="",style="solid", color="blue", weight=9]; 10.85/4.45 625 -> 23[label="",style="solid", color="blue", weight=3]; 10.85/4.45 626[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 626[label="",style="solid", color="blue", weight=9]; 10.85/4.45 626 -> 24[label="",style="solid", color="blue", weight=3]; 10.85/4.45 627[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 627[label="",style="solid", color="blue", weight=9]; 10.85/4.45 627 -> 25[label="",style="solid", color="blue", weight=3]; 10.85/4.45 628[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 628[label="",style="solid", color="blue", weight=9]; 10.85/4.45 628 -> 26[label="",style="solid", color="blue", weight=3]; 10.85/4.45 629[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 629[label="",style="solid", color="blue", weight=9]; 10.85/4.45 629 -> 27[label="",style="solid", color="blue", weight=3]; 10.85/4.45 630[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];14 -> 630[label="",style="solid", color="blue", weight=9]; 10.85/4.45 630 -> 28[label="",style="solid", color="blue", weight=3]; 10.85/4.45 15[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];15 -> 29[label="",style="solid", color="black", weight=3]; 10.85/4.45 16[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];16 -> 30[label="",style="solid", color="black", weight=3]; 10.85/4.45 17[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];17 -> 31[label="",style="solid", color="black", weight=3]; 10.85/4.45 18[label="xv30 == xv40",fontsize=16,color="black",shape="triangle"];18 -> 32[label="",style="solid", color="black", weight=3]; 10.85/4.45 19[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];631[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];19 -> 631[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 631 -> 33[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 632[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];19 -> 632[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 632 -> 34[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 20[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];633[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];20 -> 633[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 633 -> 35[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 634[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];20 -> 634[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 634 -> 36[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 21 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 21[label="xv30 == xv40",fontsize=16,color="magenta"];21 -> 37[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 21 -> 38[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 22[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];635[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];22 -> 635[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 635 -> 39[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 23[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];636[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];23 -> 636[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 636 -> 40[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 24[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];637[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];24 -> 637[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 637 -> 41[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 25[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];638[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];25 -> 638[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 638 -> 42[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 26[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];639[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];26 -> 639[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 639 -> 43[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 640[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];26 -> 640[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 640 -> 44[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 641[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];26 -> 641[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 641 -> 45[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 27[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];642[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];27 -> 642[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 642 -> 46[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 28[label="xv30 == xv40",fontsize=16,color="burlywood",shape="triangle"];643[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];28 -> 643[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 643 -> 47[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 644[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];28 -> 644[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 644 -> 48[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 29[label="primEqDouble xv30 xv40",fontsize=16,color="burlywood",shape="box"];645[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];29 -> 645[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 645 -> 49[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 30[label="primEqChar xv30 xv40",fontsize=16,color="burlywood",shape="box"];646[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];30 -> 646[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 646 -> 50[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 31[label="primEqFloat xv30 xv40",fontsize=16,color="burlywood",shape="box"];647[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];31 -> 647[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 647 -> 51[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 32[label="primEqInt xv30 xv40",fontsize=16,color="burlywood",shape="triangle"];648[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];32 -> 648[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 648 -> 52[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 649[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];32 -> 649[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 649 -> 53[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 33[label="xv300 : xv301 == xv40",fontsize=16,color="burlywood",shape="box"];650[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];33 -> 650[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 650 -> 54[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 651[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];33 -> 651[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 651 -> 55[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 34[label="[] == xv40",fontsize=16,color="burlywood",shape="box"];652[label="xv40/xv400 : xv401",fontsize=10,color="white",style="solid",shape="box"];34 -> 652[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 652 -> 56[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 653[label="xv40/[]",fontsize=10,color="white",style="solid",shape="box"];34 -> 653[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 653 -> 57[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 35[label="Left xv300 == xv40",fontsize=16,color="burlywood",shape="box"];654[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];35 -> 654[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 654 -> 58[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 655[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];35 -> 655[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 655 -> 59[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 36[label="Right xv300 == xv40",fontsize=16,color="burlywood",shape="box"];656[label="xv40/Left xv400",fontsize=10,color="white",style="solid",shape="box"];36 -> 656[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 656 -> 60[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 657[label="xv40/Right xv400",fontsize=10,color="white",style="solid",shape="box"];36 -> 657[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 657 -> 61[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 37[label="xv30",fontsize=16,color="green",shape="box"];38[label="xv40",fontsize=16,color="green",shape="box"];39[label="Integer xv300 == xv40",fontsize=16,color="burlywood",shape="box"];658[label="xv40/Integer xv400",fontsize=10,color="white",style="solid",shape="box"];39 -> 658[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 658 -> 62[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 40[label="xv300 :% xv301 == xv40",fontsize=16,color="burlywood",shape="box"];659[label="xv40/xv400 :% xv401",fontsize=10,color="white",style="solid",shape="box"];40 -> 659[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 659 -> 63[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 41[label="(xv300,xv301,xv302) == xv40",fontsize=16,color="burlywood",shape="box"];660[label="xv40/(xv400,xv401,xv402)",fontsize=10,color="white",style="solid",shape="box"];41 -> 660[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 660 -> 64[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 42[label="(xv300,xv301) == xv40",fontsize=16,color="burlywood",shape="box"];661[label="xv40/(xv400,xv401)",fontsize=10,color="white",style="solid",shape="box"];42 -> 661[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 661 -> 65[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 43[label="LT == xv40",fontsize=16,color="burlywood",shape="box"];662[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];43 -> 662[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 662 -> 66[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 663[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];43 -> 663[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 663 -> 67[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 664[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];43 -> 664[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 664 -> 68[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 44[label="EQ == xv40",fontsize=16,color="burlywood",shape="box"];665[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];44 -> 665[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 665 -> 69[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 666[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];44 -> 666[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 666 -> 70[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 667[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];44 -> 667[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 667 -> 71[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 45[label="GT == xv40",fontsize=16,color="burlywood",shape="box"];668[label="xv40/LT",fontsize=10,color="white",style="solid",shape="box"];45 -> 668[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 668 -> 72[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 669[label="xv40/EQ",fontsize=10,color="white",style="solid",shape="box"];45 -> 669[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 669 -> 73[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 670[label="xv40/GT",fontsize=10,color="white",style="solid",shape="box"];45 -> 670[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 670 -> 74[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 46[label="() == xv40",fontsize=16,color="burlywood",shape="box"];671[label="xv40/()",fontsize=10,color="white",style="solid",shape="box"];46 -> 671[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 671 -> 75[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 47[label="False == xv40",fontsize=16,color="burlywood",shape="box"];672[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];47 -> 672[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 672 -> 76[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 673[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];47 -> 673[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 673 -> 77[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 48[label="True == xv40",fontsize=16,color="burlywood",shape="box"];674[label="xv40/False",fontsize=10,color="white",style="solid",shape="box"];48 -> 674[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 674 -> 78[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 675[label="xv40/True",fontsize=10,color="white",style="solid",shape="box"];48 -> 675[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 675 -> 79[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 49[label="primEqDouble (Double xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];676[label="xv40/Double xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];49 -> 676[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 676 -> 80[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 50[label="primEqChar (Char xv300) xv40",fontsize=16,color="burlywood",shape="box"];677[label="xv40/Char xv400",fontsize=10,color="white",style="solid",shape="box"];50 -> 677[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 677 -> 81[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 51[label="primEqFloat (Float xv300 xv301) xv40",fontsize=16,color="burlywood",shape="box"];678[label="xv40/Float xv400 xv401",fontsize=10,color="white",style="solid",shape="box"];51 -> 678[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 678 -> 82[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 52[label="primEqInt (Pos xv300) xv40",fontsize=16,color="burlywood",shape="box"];679[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];52 -> 679[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 679 -> 83[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 680[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];52 -> 680[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 680 -> 84[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 53[label="primEqInt (Neg xv300) xv40",fontsize=16,color="burlywood",shape="box"];681[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];53 -> 681[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 681 -> 85[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 682[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];53 -> 682[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 682 -> 86[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 54[label="xv300 : xv301 == xv400 : xv401",fontsize=16,color="black",shape="box"];54 -> 87[label="",style="solid", color="black", weight=3]; 10.85/4.45 55[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];55 -> 88[label="",style="solid", color="black", weight=3]; 10.85/4.45 56[label="[] == xv400 : xv401",fontsize=16,color="black",shape="box"];56 -> 89[label="",style="solid", color="black", weight=3]; 10.85/4.45 57[label="[] == []",fontsize=16,color="black",shape="box"];57 -> 90[label="",style="solid", color="black", weight=3]; 10.85/4.45 58[label="Left xv300 == Left xv400",fontsize=16,color="black",shape="box"];58 -> 91[label="",style="solid", color="black", weight=3]; 10.85/4.45 59[label="Left xv300 == Right xv400",fontsize=16,color="black",shape="box"];59 -> 92[label="",style="solid", color="black", weight=3]; 10.85/4.45 60[label="Right xv300 == Left xv400",fontsize=16,color="black",shape="box"];60 -> 93[label="",style="solid", color="black", weight=3]; 10.85/4.45 61[label="Right xv300 == Right xv400",fontsize=16,color="black",shape="box"];61 -> 94[label="",style="solid", color="black", weight=3]; 10.85/4.45 62[label="Integer xv300 == Integer xv400",fontsize=16,color="black",shape="box"];62 -> 95[label="",style="solid", color="black", weight=3]; 10.85/4.45 63[label="xv300 :% xv301 == xv400 :% xv401",fontsize=16,color="black",shape="box"];63 -> 96[label="",style="solid", color="black", weight=3]; 10.85/4.45 64[label="(xv300,xv301,xv302) == (xv400,xv401,xv402)",fontsize=16,color="black",shape="box"];64 -> 97[label="",style="solid", color="black", weight=3]; 10.85/4.45 65[label="(xv300,xv301) == (xv400,xv401)",fontsize=16,color="black",shape="box"];65 -> 98[label="",style="solid", color="black", weight=3]; 10.85/4.45 66[label="LT == LT",fontsize=16,color="black",shape="box"];66 -> 99[label="",style="solid", color="black", weight=3]; 10.85/4.45 67[label="LT == EQ",fontsize=16,color="black",shape="box"];67 -> 100[label="",style="solid", color="black", weight=3]; 10.85/4.45 68[label="LT == GT",fontsize=16,color="black",shape="box"];68 -> 101[label="",style="solid", color="black", weight=3]; 10.85/4.45 69[label="EQ == LT",fontsize=16,color="black",shape="box"];69 -> 102[label="",style="solid", color="black", weight=3]; 10.85/4.45 70[label="EQ == EQ",fontsize=16,color="black",shape="box"];70 -> 103[label="",style="solid", color="black", weight=3]; 10.85/4.45 71[label="EQ == GT",fontsize=16,color="black",shape="box"];71 -> 104[label="",style="solid", color="black", weight=3]; 10.85/4.45 72[label="GT == LT",fontsize=16,color="black",shape="box"];72 -> 105[label="",style="solid", color="black", weight=3]; 10.85/4.45 73[label="GT == EQ",fontsize=16,color="black",shape="box"];73 -> 106[label="",style="solid", color="black", weight=3]; 10.85/4.45 74[label="GT == GT",fontsize=16,color="black",shape="box"];74 -> 107[label="",style="solid", color="black", weight=3]; 10.85/4.45 75[label="() == ()",fontsize=16,color="black",shape="box"];75 -> 108[label="",style="solid", color="black", weight=3]; 10.85/4.45 76[label="False == False",fontsize=16,color="black",shape="box"];76 -> 109[label="",style="solid", color="black", weight=3]; 10.85/4.45 77[label="False == True",fontsize=16,color="black",shape="box"];77 -> 110[label="",style="solid", color="black", weight=3]; 10.85/4.45 78[label="True == False",fontsize=16,color="black",shape="box"];78 -> 111[label="",style="solid", color="black", weight=3]; 10.85/4.45 79[label="True == True",fontsize=16,color="black",shape="box"];79 -> 112[label="",style="solid", color="black", weight=3]; 10.85/4.45 80[label="primEqDouble (Double xv300 xv301) (Double xv400 xv401)",fontsize=16,color="black",shape="box"];80 -> 113[label="",style="solid", color="black", weight=3]; 10.85/4.45 81[label="primEqChar (Char xv300) (Char xv400)",fontsize=16,color="black",shape="box"];81 -> 114[label="",style="solid", color="black", weight=3]; 10.85/4.45 82[label="primEqFloat (Float xv300 xv301) (Float xv400 xv401)",fontsize=16,color="black",shape="box"];82 -> 115[label="",style="solid", color="black", weight=3]; 10.85/4.45 83[label="primEqInt (Pos (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];683[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];83 -> 683[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 683 -> 116[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 684[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];83 -> 684[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 684 -> 117[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 84[label="primEqInt (Pos Zero) xv40",fontsize=16,color="burlywood",shape="box"];685[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];84 -> 685[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 685 -> 118[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 686[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];84 -> 686[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 686 -> 119[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 85[label="primEqInt (Neg (Succ xv3000)) xv40",fontsize=16,color="burlywood",shape="box"];687[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];85 -> 687[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 687 -> 120[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 688[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];85 -> 688[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 688 -> 121[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 86[label="primEqInt (Neg Zero) xv40",fontsize=16,color="burlywood",shape="box"];689[label="xv40/Pos xv400",fontsize=10,color="white",style="solid",shape="box"];86 -> 689[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 689 -> 122[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 690[label="xv40/Neg xv400",fontsize=10,color="white",style="solid",shape="box"];86 -> 690[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 690 -> 123[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 87 -> 187[label="",style="dashed", color="red", weight=0]; 10.85/4.45 87[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];87 -> 188[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 87 -> 189[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 88[label="False",fontsize=16,color="green",shape="box"];89[label="False",fontsize=16,color="green",shape="box"];90[label="True",fontsize=16,color="green",shape="box"];91[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];691[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 691[label="",style="solid", color="blue", weight=9]; 10.85/4.45 691 -> 135[label="",style="solid", color="blue", weight=3]; 10.85/4.45 692[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 692[label="",style="solid", color="blue", weight=9]; 10.85/4.45 692 -> 136[label="",style="solid", color="blue", weight=3]; 10.85/4.45 693[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 693[label="",style="solid", color="blue", weight=9]; 10.85/4.45 693 -> 137[label="",style="solid", color="blue", weight=3]; 10.85/4.45 694[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 694[label="",style="solid", color="blue", weight=9]; 10.85/4.45 694 -> 138[label="",style="solid", color="blue", weight=3]; 10.85/4.45 695[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 695[label="",style="solid", color="blue", weight=9]; 10.85/4.45 695 -> 139[label="",style="solid", color="blue", weight=3]; 10.85/4.45 696[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 696[label="",style="solid", color="blue", weight=9]; 10.85/4.45 696 -> 140[label="",style="solid", color="blue", weight=3]; 10.85/4.45 697[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 697[label="",style="solid", color="blue", weight=9]; 10.85/4.45 697 -> 141[label="",style="solid", color="blue", weight=3]; 10.85/4.45 698[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 698[label="",style="solid", color="blue", weight=9]; 10.85/4.45 698 -> 142[label="",style="solid", color="blue", weight=3]; 10.85/4.45 699[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 699[label="",style="solid", color="blue", weight=9]; 10.85/4.45 699 -> 143[label="",style="solid", color="blue", weight=3]; 10.85/4.45 700[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 700[label="",style="solid", color="blue", weight=9]; 10.85/4.45 700 -> 144[label="",style="solid", color="blue", weight=3]; 10.85/4.45 701[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 701[label="",style="solid", color="blue", weight=9]; 10.85/4.45 701 -> 145[label="",style="solid", color="blue", weight=3]; 10.85/4.45 702[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 702[label="",style="solid", color="blue", weight=9]; 10.85/4.45 702 -> 146[label="",style="solid", color="blue", weight=3]; 10.85/4.45 703[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 703[label="",style="solid", color="blue", weight=9]; 10.85/4.45 703 -> 147[label="",style="solid", color="blue", weight=3]; 10.85/4.45 704[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];91 -> 704[label="",style="solid", color="blue", weight=9]; 10.85/4.45 704 -> 148[label="",style="solid", color="blue", weight=3]; 10.85/4.45 92[label="False",fontsize=16,color="green",shape="box"];93[label="False",fontsize=16,color="green",shape="box"];94[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];705[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 705[label="",style="solid", color="blue", weight=9]; 10.85/4.45 705 -> 149[label="",style="solid", color="blue", weight=3]; 10.85/4.45 706[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 706[label="",style="solid", color="blue", weight=9]; 10.85/4.45 706 -> 150[label="",style="solid", color="blue", weight=3]; 10.85/4.45 707[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 707[label="",style="solid", color="blue", weight=9]; 10.85/4.45 707 -> 151[label="",style="solid", color="blue", weight=3]; 10.85/4.45 708[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 708[label="",style="solid", color="blue", weight=9]; 10.85/4.45 708 -> 152[label="",style="solid", color="blue", weight=3]; 10.85/4.45 709[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 709[label="",style="solid", color="blue", weight=9]; 10.85/4.45 709 -> 153[label="",style="solid", color="blue", weight=3]; 10.85/4.45 710[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 710[label="",style="solid", color="blue", weight=9]; 10.85/4.45 710 -> 154[label="",style="solid", color="blue", weight=3]; 10.85/4.45 711[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 711[label="",style="solid", color="blue", weight=9]; 10.85/4.45 711 -> 155[label="",style="solid", color="blue", weight=3]; 10.85/4.45 712[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 712[label="",style="solid", color="blue", weight=9]; 10.85/4.45 712 -> 156[label="",style="solid", color="blue", weight=3]; 10.85/4.45 713[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 713[label="",style="solid", color="blue", weight=9]; 10.85/4.45 713 -> 157[label="",style="solid", color="blue", weight=3]; 10.85/4.45 714[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 714[label="",style="solid", color="blue", weight=9]; 10.85/4.45 714 -> 158[label="",style="solid", color="blue", weight=3]; 10.85/4.45 715[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 715[label="",style="solid", color="blue", weight=9]; 10.85/4.45 715 -> 159[label="",style="solid", color="blue", weight=3]; 10.85/4.45 716[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 716[label="",style="solid", color="blue", weight=9]; 10.85/4.45 716 -> 160[label="",style="solid", color="blue", weight=3]; 10.85/4.45 717[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 717[label="",style="solid", color="blue", weight=9]; 10.85/4.45 717 -> 161[label="",style="solid", color="blue", weight=3]; 10.85/4.45 718[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];94 -> 718[label="",style="solid", color="blue", weight=9]; 10.85/4.45 718 -> 162[label="",style="solid", color="blue", weight=3]; 10.85/4.45 95 -> 32[label="",style="dashed", color="red", weight=0]; 10.85/4.45 95[label="primEqInt xv300 xv400",fontsize=16,color="magenta"];95 -> 163[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 95 -> 164[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 96 -> 187[label="",style="dashed", color="red", weight=0]; 10.85/4.45 96[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];96 -> 190[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 96 -> 191[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 97 -> 187[label="",style="dashed", color="red", weight=0]; 10.85/4.45 97[label="xv300 == xv400 && xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];97 -> 192[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 97 -> 193[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 98 -> 187[label="",style="dashed", color="red", weight=0]; 10.85/4.45 98[label="xv300 == xv400 && xv301 == xv401",fontsize=16,color="magenta"];98 -> 194[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 98 -> 195[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 99[label="True",fontsize=16,color="green",shape="box"];100[label="False",fontsize=16,color="green",shape="box"];101[label="False",fontsize=16,color="green",shape="box"];102[label="False",fontsize=16,color="green",shape="box"];103[label="True",fontsize=16,color="green",shape="box"];104[label="False",fontsize=16,color="green",shape="box"];105[label="False",fontsize=16,color="green",shape="box"];106[label="False",fontsize=16,color="green",shape="box"];107[label="True",fontsize=16,color="green",shape="box"];108[label="True",fontsize=16,color="green",shape="box"];109[label="True",fontsize=16,color="green",shape="box"];110[label="False",fontsize=16,color="green",shape="box"];111[label="False",fontsize=16,color="green",shape="box"];112[label="True",fontsize=16,color="green",shape="box"];113 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 113[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];113 -> 165[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 113 -> 166[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 114[label="primEqNat xv300 xv400",fontsize=16,color="burlywood",shape="triangle"];719[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];114 -> 719[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 719 -> 167[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 720[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];114 -> 720[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 720 -> 168[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 115 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 115[label="xv300 * xv401 == xv301 * xv400",fontsize=16,color="magenta"];115 -> 169[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 115 -> 170[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 116[label="primEqInt (Pos (Succ xv3000)) (Pos 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10.85/4.45 724[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];118 -> 724[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 724 -> 175[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 119[label="primEqInt (Pos Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];725[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];119 -> 725[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 725 -> 176[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 726[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];119 -> 726[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 726 -> 177[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 120[label="primEqInt (Neg (Succ xv3000)) (Pos xv400)",fontsize=16,color="black",shape="box"];120 -> 178[label="",style="solid", color="black", weight=3]; 10.85/4.45 121[label="primEqInt (Neg (Succ xv3000)) (Neg 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182[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 123[label="primEqInt (Neg Zero) (Neg xv400)",fontsize=16,color="burlywood",shape="box"];731[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];123 -> 731[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 731 -> 183[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 732[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];123 -> 732[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 732 -> 184[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 188[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];733[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 733[label="",style="solid", color="blue", weight=9]; 10.85/4.45 733 -> 200[label="",style="solid", color="blue", weight=3]; 10.85/4.45 734[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 734[label="",style="solid", color="blue", weight=9]; 10.85/4.45 734 -> 201[label="",style="solid", color="blue", weight=3]; 10.85/4.45 735[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 735[label="",style="solid", color="blue", weight=9]; 10.85/4.45 735 -> 202[label="",style="solid", color="blue", weight=3]; 10.85/4.45 736[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 736[label="",style="solid", color="blue", weight=9]; 10.85/4.45 736 -> 203[label="",style="solid", color="blue", weight=3]; 10.85/4.45 737[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 737[label="",style="solid", color="blue", weight=9]; 10.85/4.45 737 -> 204[label="",style="solid", color="blue", weight=3]; 10.85/4.45 738[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 738[label="",style="solid", color="blue", weight=9]; 10.85/4.45 738 -> 205[label="",style="solid", color="blue", weight=3]; 10.85/4.45 739[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 739[label="",style="solid", color="blue", weight=9]; 10.85/4.45 739 -> 206[label="",style="solid", color="blue", weight=3]; 10.85/4.45 740[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 740[label="",style="solid", color="blue", weight=9]; 10.85/4.45 740 -> 207[label="",style="solid", color="blue", weight=3]; 10.85/4.45 741[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 741[label="",style="solid", color="blue", weight=9]; 10.85/4.45 741 -> 208[label="",style="solid", color="blue", weight=3]; 10.85/4.45 742[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 742[label="",style="solid", color="blue", weight=9]; 10.85/4.45 742 -> 209[label="",style="solid", color="blue", weight=3]; 10.85/4.45 743[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 743[label="",style="solid", color="blue", weight=9]; 10.85/4.45 743 -> 210[label="",style="solid", color="blue", weight=3]; 10.85/4.45 744[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 744[label="",style="solid", color="blue", weight=9]; 10.85/4.45 744 -> 211[label="",style="solid", color="blue", weight=3]; 10.85/4.45 745[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 745[label="",style="solid", color="blue", weight=9]; 10.85/4.45 745 -> 212[label="",style="solid", color="blue", weight=3]; 10.85/4.45 746[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];188 -> 746[label="",style="solid", color="blue", weight=9]; 10.85/4.45 746 -> 213[label="",style="solid", color="blue", weight=3]; 10.85/4.45 189 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 189[label="xv301 == xv401",fontsize=16,color="magenta"];189 -> 214[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 189 -> 215[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 187[label="xv9 && xv10",fontsize=16,color="burlywood",shape="triangle"];747[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];187 -> 747[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 747 -> 216[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 748[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];187 -> 748[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 748 -> 217[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 135 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 135[label="xv300 == xv400",fontsize=16,color="magenta"];135 -> 218[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 135 -> 219[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 136 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 136[label="xv300 == xv400",fontsize=16,color="magenta"];136 -> 220[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 136 -> 221[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 137 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 137[label="xv300 == xv400",fontsize=16,color="magenta"];137 -> 222[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 137 -> 223[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 138 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 138[label="xv300 == xv400",fontsize=16,color="magenta"];138 -> 224[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 138 -> 225[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 139 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 139[label="xv300 == xv400",fontsize=16,color="magenta"];139 -> 226[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 139 -> 227[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 140 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 140[label="xv300 == xv400",fontsize=16,color="magenta"];140 -> 228[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 140 -> 229[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 141 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 141[label="xv300 == xv400",fontsize=16,color="magenta"];141 -> 230[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 141 -> 231[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 142 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 142[label="xv300 == xv400",fontsize=16,color="magenta"];142 -> 232[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 142 -> 233[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 143 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 143[label="xv300 == xv400",fontsize=16,color="magenta"];143 -> 234[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 143 -> 235[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 144 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 144[label="xv300 == xv400",fontsize=16,color="magenta"];144 -> 236[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 144 -> 237[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 145 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 145[label="xv300 == xv400",fontsize=16,color="magenta"];145 -> 238[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 145 -> 239[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 146 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 146[label="xv300 == xv400",fontsize=16,color="magenta"];146 -> 240[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 146 -> 241[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 147 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 147[label="xv300 == xv400",fontsize=16,color="magenta"];147 -> 242[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 147 -> 243[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 148 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 148[label="xv300 == xv400",fontsize=16,color="magenta"];148 -> 244[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 148 -> 245[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 149 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 149[label="xv300 == xv400",fontsize=16,color="magenta"];149 -> 246[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 149 -> 247[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 150 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 150[label="xv300 == xv400",fontsize=16,color="magenta"];150 -> 248[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 150 -> 249[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 151 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 151[label="xv300 == xv400",fontsize=16,color="magenta"];151 -> 250[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 151 -> 251[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 152 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 152[label="xv300 == xv400",fontsize=16,color="magenta"];152 -> 252[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 152 -> 253[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 153 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 153[label="xv300 == xv400",fontsize=16,color="magenta"];153 -> 254[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 153 -> 255[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 154 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 154[label="xv300 == xv400",fontsize=16,color="magenta"];154 -> 256[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 154 -> 257[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 155 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 155[label="xv300 == xv400",fontsize=16,color="magenta"];155 -> 258[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 155 -> 259[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 156 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 156[label="xv300 == xv400",fontsize=16,color="magenta"];156 -> 260[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 156 -> 261[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 157 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 157[label="xv300 == xv400",fontsize=16,color="magenta"];157 -> 262[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 157 -> 263[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 158 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 158[label="xv300 == xv400",fontsize=16,color="magenta"];158 -> 264[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 158 -> 265[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 159 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 159[label="xv300 == xv400",fontsize=16,color="magenta"];159 -> 266[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 159 -> 267[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 160 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 160[label="xv300 == xv400",fontsize=16,color="magenta"];160 -> 268[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 160 -> 269[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 161 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 161[label="xv300 == xv400",fontsize=16,color="magenta"];161 -> 270[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 161 -> 271[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 162 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 162[label="xv300 == xv400",fontsize=16,color="magenta"];162 -> 272[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 162 -> 273[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 163[label="xv300",fontsize=16,color="green",shape="box"];164[label="xv400",fontsize=16,color="green",shape="box"];190[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];749[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 749[label="",style="solid", color="blue", weight=9]; 10.85/4.45 749 -> 274[label="",style="solid", color="blue", weight=3]; 10.85/4.45 750[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];190 -> 750[label="",style="solid", color="blue", weight=9]; 10.85/4.45 750 -> 275[label="",style="solid", color="blue", weight=3]; 10.85/4.45 191[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];751[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 751[label="",style="solid", color="blue", weight=9]; 10.85/4.45 751 -> 276[label="",style="solid", color="blue", weight=3]; 10.85/4.45 752[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];191 -> 752[label="",style="solid", color="blue", weight=9]; 10.85/4.45 752 -> 277[label="",style="solid", color="blue", weight=3]; 10.85/4.45 192[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];753[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 753[label="",style="solid", color="blue", weight=9]; 10.85/4.45 753 -> 278[label="",style="solid", color="blue", weight=3]; 10.85/4.45 754[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 754[label="",style="solid", color="blue", weight=9]; 10.85/4.45 754 -> 279[label="",style="solid", color="blue", weight=3]; 10.85/4.45 755[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 755[label="",style="solid", color="blue", weight=9]; 10.85/4.45 755 -> 280[label="",style="solid", color="blue", weight=3]; 10.85/4.45 756[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 756[label="",style="solid", color="blue", weight=9]; 10.85/4.45 756 -> 281[label="",style="solid", color="blue", weight=3]; 10.85/4.45 757[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 757[label="",style="solid", color="blue", weight=9]; 10.85/4.45 757 -> 282[label="",style="solid", color="blue", weight=3]; 10.85/4.45 758[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 758[label="",style="solid", color="blue", weight=9]; 10.85/4.45 758 -> 283[label="",style="solid", color="blue", weight=3]; 10.85/4.45 759[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 759[label="",style="solid", color="blue", weight=9]; 10.85/4.45 759 -> 284[label="",style="solid", color="blue", weight=3]; 10.85/4.45 760[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 760[label="",style="solid", color="blue", weight=9]; 10.85/4.45 760 -> 285[label="",style="solid", color="blue", weight=3]; 10.85/4.45 761[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 761[label="",style="solid", color="blue", weight=9]; 10.85/4.45 761 -> 286[label="",style="solid", color="blue", weight=3]; 10.85/4.45 762[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 762[label="",style="solid", color="blue", weight=9]; 10.85/4.45 762 -> 287[label="",style="solid", color="blue", weight=3]; 10.85/4.45 763[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 763[label="",style="solid", color="blue", weight=9]; 10.85/4.45 763 -> 288[label="",style="solid", color="blue", weight=3]; 10.85/4.45 764[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 764[label="",style="solid", color="blue", weight=9]; 10.85/4.45 764 -> 289[label="",style="solid", color="blue", weight=3]; 10.85/4.45 765[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 765[label="",style="solid", color="blue", weight=9]; 10.85/4.45 765 -> 290[label="",style="solid", color="blue", weight=3]; 10.85/4.45 766[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];192 -> 766[label="",style="solid", color="blue", weight=9]; 10.85/4.45 766 -> 291[label="",style="solid", color="blue", weight=3]; 10.85/4.45 193 -> 187[label="",style="dashed", color="red", weight=0]; 10.85/4.45 193[label="xv301 == xv401 && xv302 == xv402",fontsize=16,color="magenta"];193 -> 292[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 193 -> 293[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 194[label="xv300 == xv400",fontsize=16,color="blue",shape="box"];767[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 767[label="",style="solid", color="blue", weight=9]; 10.85/4.45 767 -> 294[label="",style="solid", color="blue", weight=3]; 10.85/4.45 768[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 768[label="",style="solid", color="blue", weight=9]; 10.85/4.45 768 -> 295[label="",style="solid", color="blue", weight=3]; 10.85/4.45 769[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 769[label="",style="solid", color="blue", weight=9]; 10.85/4.45 769 -> 296[label="",style="solid", color="blue", weight=3]; 10.85/4.45 770[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 770[label="",style="solid", color="blue", weight=9]; 10.85/4.45 770 -> 297[label="",style="solid", color="blue", weight=3]; 10.85/4.45 771[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 771[label="",style="solid", color="blue", weight=9]; 10.85/4.45 771 -> 298[label="",style="solid", color="blue", weight=3]; 10.85/4.45 772[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 772[label="",style="solid", color="blue", weight=9]; 10.85/4.45 772 -> 299[label="",style="solid", color="blue", weight=3]; 10.85/4.45 773[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 773[label="",style="solid", color="blue", weight=9]; 10.85/4.45 773 -> 300[label="",style="solid", color="blue", weight=3]; 10.85/4.45 774[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 774[label="",style="solid", color="blue", weight=9]; 10.85/4.45 774 -> 301[label="",style="solid", color="blue", weight=3]; 10.85/4.45 775[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 775[label="",style="solid", color="blue", weight=9]; 10.85/4.45 775 -> 302[label="",style="solid", color="blue", weight=3]; 10.85/4.45 776[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 776[label="",style="solid", color="blue", weight=9]; 10.85/4.45 776 -> 303[label="",style="solid", color="blue", weight=3]; 10.85/4.45 777[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 777[label="",style="solid", color="blue", weight=9]; 10.85/4.45 777 -> 304[label="",style="solid", color="blue", weight=3]; 10.85/4.45 778[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 778[label="",style="solid", color="blue", weight=9]; 10.85/4.45 778 -> 305[label="",style="solid", color="blue", weight=3]; 10.85/4.45 779[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 779[label="",style="solid", color="blue", weight=9]; 10.85/4.45 779 -> 306[label="",style="solid", color="blue", weight=3]; 10.85/4.45 780[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];194 -> 780[label="",style="solid", color="blue", weight=9]; 10.85/4.45 780 -> 307[label="",style="solid", color="blue", weight=3]; 10.85/4.45 195[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];781[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 781[label="",style="solid", color="blue", weight=9]; 10.85/4.45 781 -> 308[label="",style="solid", color="blue", weight=3]; 10.85/4.45 782[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 782[label="",style="solid", color="blue", weight=9]; 10.85/4.45 782 -> 309[label="",style="solid", color="blue", weight=3]; 10.85/4.45 783[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 783[label="",style="solid", color="blue", weight=9]; 10.85/4.45 783 -> 310[label="",style="solid", color="blue", weight=3]; 10.85/4.45 784[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 784[label="",style="solid", color="blue", weight=9]; 10.85/4.45 784 -> 311[label="",style="solid", color="blue", weight=3]; 10.85/4.45 785[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 785[label="",style="solid", color="blue", weight=9]; 10.85/4.45 785 -> 312[label="",style="solid", color="blue", weight=3]; 10.85/4.45 786[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 786[label="",style="solid", color="blue", weight=9]; 10.85/4.45 786 -> 313[label="",style="solid", color="blue", weight=3]; 10.85/4.45 787[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 787[label="",style="solid", color="blue", weight=9]; 10.85/4.45 787 -> 314[label="",style="solid", color="blue", weight=3]; 10.85/4.45 788[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 788[label="",style="solid", color="blue", weight=9]; 10.85/4.45 788 -> 315[label="",style="solid", color="blue", weight=3]; 10.85/4.45 789[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 789[label="",style="solid", color="blue", weight=9]; 10.85/4.45 789 -> 316[label="",style="solid", color="blue", weight=3]; 10.85/4.45 790[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 790[label="",style="solid", color="blue", weight=9]; 10.85/4.45 790 -> 317[label="",style="solid", color="blue", weight=3]; 10.85/4.45 791[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 791[label="",style="solid", color="blue", weight=9]; 10.85/4.45 791 -> 318[label="",style="solid", color="blue", weight=3]; 10.85/4.45 792[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 792[label="",style="solid", color="blue", weight=9]; 10.85/4.45 792 -> 319[label="",style="solid", color="blue", weight=3]; 10.85/4.45 793[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 793[label="",style="solid", color="blue", weight=9]; 10.85/4.45 793 -> 320[label="",style="solid", color="blue", weight=3]; 10.85/4.45 794[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];195 -> 794[label="",style="solid", color="blue", weight=9]; 10.85/4.45 794 -> 321[label="",style="solid", color="blue", weight=3]; 10.85/4.45 165[label="xv300 * xv401",fontsize=16,color="black",shape="triangle"];165 -> 322[label="",style="solid", color="black", weight=3]; 10.85/4.45 166 -> 165[label="",style="dashed", color="red", weight=0]; 10.85/4.45 166[label="xv301 * xv400",fontsize=16,color="magenta"];166 -> 323[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 166 -> 324[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 167[label="primEqNat (Succ xv3000) xv400",fontsize=16,color="burlywood",shape="box"];795[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];167 -> 795[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 795 -> 325[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 796[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];167 -> 796[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 796 -> 326[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 168[label="primEqNat Zero xv400",fontsize=16,color="burlywood",shape="box"];797[label="xv400/Succ xv4000",fontsize=10,color="white",style="solid",shape="box"];168 -> 797[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 797 -> 327[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 798[label="xv400/Zero",fontsize=10,color="white",style="solid",shape="box"];168 -> 798[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 798 -> 328[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 169 -> 165[label="",style="dashed", color="red", weight=0]; 10.85/4.45 169[label="xv300 * xv401",fontsize=16,color="magenta"];169 -> 329[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 169 -> 330[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 170 -> 165[label="",style="dashed", color="red", weight=0]; 10.85/4.45 170[label="xv301 * xv400",fontsize=16,color="magenta"];170 -> 331[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 170 -> 332[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 171[label="primEqInt (Pos (Succ xv3000)) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];171 -> 333[label="",style="solid", color="black", weight=3]; 10.85/4.45 172[label="primEqInt (Pos (Succ xv3000)) (Pos Zero)",fontsize=16,color="black",shape="box"];172 -> 334[label="",style="solid", color="black", weight=3]; 10.85/4.45 173[label="False",fontsize=16,color="green",shape="box"];174[label="primEqInt (Pos Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];174 -> 335[label="",style="solid", color="black", weight=3]; 10.85/4.45 175[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];175 -> 336[label="",style="solid", color="black", weight=3]; 10.85/4.45 176[label="primEqInt (Pos Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];176 -> 337[label="",style="solid", color="black", weight=3]; 10.85/4.45 177[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];177 -> 338[label="",style="solid", color="black", weight=3]; 10.85/4.45 178[label="False",fontsize=16,color="green",shape="box"];179[label="primEqInt (Neg (Succ xv3000)) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];179 -> 339[label="",style="solid", color="black", weight=3]; 10.85/4.45 180[label="primEqInt (Neg (Succ xv3000)) (Neg Zero)",fontsize=16,color="black",shape="box"];180 -> 340[label="",style="solid", color="black", weight=3]; 10.85/4.45 181[label="primEqInt (Neg Zero) (Pos (Succ xv4000))",fontsize=16,color="black",shape="box"];181 -> 341[label="",style="solid", color="black", weight=3]; 10.85/4.45 182[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];182 -> 342[label="",style="solid", color="black", weight=3]; 10.85/4.45 183[label="primEqInt (Neg Zero) (Neg (Succ xv4000))",fontsize=16,color="black",shape="box"];183 -> 343[label="",style="solid", color="black", weight=3]; 10.85/4.45 184[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];184 -> 344[label="",style="solid", color="black", weight=3]; 10.85/4.45 200 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 200[label="xv300 == xv400",fontsize=16,color="magenta"];200 -> 345[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 200 -> 346[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 201 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 201[label="xv300 == xv400",fontsize=16,color="magenta"];201 -> 347[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 201 -> 348[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 202 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 202[label="xv300 == xv400",fontsize=16,color="magenta"];202 -> 349[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 202 -> 350[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 203 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 203[label="xv300 == xv400",fontsize=16,color="magenta"];203 -> 351[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 203 -> 352[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 204 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 204[label="xv300 == xv400",fontsize=16,color="magenta"];204 -> 353[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 204 -> 354[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 205 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 205[label="xv300 == xv400",fontsize=16,color="magenta"];205 -> 355[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 205 -> 356[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 206 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 206[label="xv300 == xv400",fontsize=16,color="magenta"];206 -> 357[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 206 -> 358[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 207 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 207[label="xv300 == xv400",fontsize=16,color="magenta"];207 -> 359[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 207 -> 360[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 208 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 208[label="xv300 == xv400",fontsize=16,color="magenta"];208 -> 361[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 208 -> 362[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 209 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 209[label="xv300 == xv400",fontsize=16,color="magenta"];209 -> 363[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 209 -> 364[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 210 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 210[label="xv300 == xv400",fontsize=16,color="magenta"];210 -> 365[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 210 -> 366[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 211 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 211[label="xv300 == xv400",fontsize=16,color="magenta"];211 -> 367[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 211 -> 368[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 212 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 212[label="xv300 == xv400",fontsize=16,color="magenta"];212 -> 369[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 212 -> 370[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 213 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 213[label="xv300 == xv400",fontsize=16,color="magenta"];213 -> 371[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 213 -> 372[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 214[label="xv301",fontsize=16,color="green",shape="box"];215[label="xv401",fontsize=16,color="green",shape="box"];216[label="False && xv10",fontsize=16,color="black",shape="box"];216 -> 373[label="",style="solid", color="black", weight=3]; 10.85/4.45 217[label="True && xv10",fontsize=16,color="black",shape="box"];217 -> 374[label="",style="solid", color="black", weight=3]; 10.85/4.45 218[label="xv300",fontsize=16,color="green",shape="box"];219[label="xv400",fontsize=16,color="green",shape="box"];220[label="xv300",fontsize=16,color="green",shape="box"];221[label="xv400",fontsize=16,color="green",shape="box"];222[label="xv300",fontsize=16,color="green",shape="box"];223[label="xv400",fontsize=16,color="green",shape="box"];224[label="xv300",fontsize=16,color="green",shape="box"];225[label="xv400",fontsize=16,color="green",shape="box"];226[label="xv300",fontsize=16,color="green",shape="box"];227[label="xv400",fontsize=16,color="green",shape="box"];228[label="xv300",fontsize=16,color="green",shape="box"];229[label="xv400",fontsize=16,color="green",shape="box"];230[label="xv300",fontsize=16,color="green",shape="box"];231[label="xv400",fontsize=16,color="green",shape="box"];232[label="xv300",fontsize=16,color="green",shape="box"];233[label="xv400",fontsize=16,color="green",shape="box"];234[label="xv300",fontsize=16,color="green",shape="box"];235[label="xv400",fontsize=16,color="green",shape="box"];236[label="xv300",fontsize=16,color="green",shape="box"];237[label="xv400",fontsize=16,color="green",shape="box"];238[label="xv300",fontsize=16,color="green",shape="box"];239[label="xv400",fontsize=16,color="green",shape="box"];240[label="xv300",fontsize=16,color="green",shape="box"];241[label="xv400",fontsize=16,color="green",shape="box"];242[label="xv300",fontsize=16,color="green",shape="box"];243[label="xv400",fontsize=16,color="green",shape="box"];244[label="xv300",fontsize=16,color="green",shape="box"];245[label="xv400",fontsize=16,color="green",shape="box"];246[label="xv300",fontsize=16,color="green",shape="box"];247[label="xv400",fontsize=16,color="green",shape="box"];248[label="xv300",fontsize=16,color="green",shape="box"];249[label="xv400",fontsize=16,color="green",shape="box"];250[label="xv300",fontsize=16,color="green",shape="box"];251[label="xv400",fontsize=16,color="green",shape="box"];252[label="xv300",fontsize=16,color="green",shape="box"];253[label="xv400",fontsize=16,color="green",shape="box"];254[label="xv300",fontsize=16,color="green",shape="box"];255[label="xv400",fontsize=16,color="green",shape="box"];256[label="xv300",fontsize=16,color="green",shape="box"];257[label="xv400",fontsize=16,color="green",shape="box"];258[label="xv300",fontsize=16,color="green",shape="box"];259[label="xv400",fontsize=16,color="green",shape="box"];260[label="xv300",fontsize=16,color="green",shape="box"];261[label="xv400",fontsize=16,color="green",shape="box"];262[label="xv300",fontsize=16,color="green",shape="box"];263[label="xv400",fontsize=16,color="green",shape="box"];264[label="xv300",fontsize=16,color="green",shape="box"];265[label="xv400",fontsize=16,color="green",shape="box"];266[label="xv300",fontsize=16,color="green",shape="box"];267[label="xv400",fontsize=16,color="green",shape="box"];268[label="xv300",fontsize=16,color="green",shape="box"];269[label="xv400",fontsize=16,color="green",shape="box"];270[label="xv300",fontsize=16,color="green",shape="box"];271[label="xv400",fontsize=16,color="green",shape="box"];272[label="xv300",fontsize=16,color="green",shape="box"];273[label="xv400",fontsize=16,color="green",shape="box"];274 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 274[label="xv300 == xv400",fontsize=16,color="magenta"];274 -> 375[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 274 -> 376[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 275 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 275[label="xv300 == xv400",fontsize=16,color="magenta"];275 -> 377[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 275 -> 378[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 276 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 276[label="xv301 == xv401",fontsize=16,color="magenta"];276 -> 379[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 276 -> 380[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 277 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 277[label="xv301 == xv401",fontsize=16,color="magenta"];277 -> 381[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 277 -> 382[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 278 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 278[label="xv300 == xv400",fontsize=16,color="magenta"];278 -> 383[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 278 -> 384[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 279 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 279[label="xv300 == xv400",fontsize=16,color="magenta"];279 -> 385[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 279 -> 386[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 280 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 280[label="xv300 == xv400",fontsize=16,color="magenta"];280 -> 387[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 280 -> 388[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 281 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 281[label="xv300 == xv400",fontsize=16,color="magenta"];281 -> 389[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 281 -> 390[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 282 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 282[label="xv300 == xv400",fontsize=16,color="magenta"];282 -> 391[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 282 -> 392[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 283 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 283[label="xv300 == xv400",fontsize=16,color="magenta"];283 -> 393[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 283 -> 394[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 284 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 284[label="xv300 == xv400",fontsize=16,color="magenta"];284 -> 395[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 284 -> 396[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 285 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 285[label="xv300 == xv400",fontsize=16,color="magenta"];285 -> 397[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 285 -> 398[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 286 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 286[label="xv300 == xv400",fontsize=16,color="magenta"];286 -> 399[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 286 -> 400[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 287 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 287[label="xv300 == xv400",fontsize=16,color="magenta"];287 -> 401[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 287 -> 402[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 288 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 288[label="xv300 == xv400",fontsize=16,color="magenta"];288 -> 403[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 288 -> 404[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 289 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 289[label="xv300 == xv400",fontsize=16,color="magenta"];289 -> 405[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 289 -> 406[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 290 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 290[label="xv300 == xv400",fontsize=16,color="magenta"];290 -> 407[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 290 -> 408[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 291 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 291[label="xv300 == xv400",fontsize=16,color="magenta"];291 -> 409[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 291 -> 410[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 292[label="xv301 == xv401",fontsize=16,color="blue",shape="box"];799[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 799[label="",style="solid", color="blue", weight=9]; 10.85/4.45 799 -> 411[label="",style="solid", color="blue", weight=3]; 10.85/4.45 800[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 800[label="",style="solid", color="blue", weight=9]; 10.85/4.45 800 -> 412[label="",style="solid", color="blue", weight=3]; 10.85/4.45 801[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 801[label="",style="solid", color="blue", weight=9]; 10.85/4.45 801 -> 413[label="",style="solid", color="blue", weight=3]; 10.85/4.45 802[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 802[label="",style="solid", color="blue", weight=9]; 10.85/4.45 802 -> 414[label="",style="solid", color="blue", weight=3]; 10.85/4.45 803[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 803[label="",style="solid", color="blue", weight=9]; 10.85/4.45 803 -> 415[label="",style="solid", color="blue", weight=3]; 10.85/4.45 804[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 804[label="",style="solid", color="blue", weight=9]; 10.85/4.45 804 -> 416[label="",style="solid", color="blue", weight=3]; 10.85/4.45 805[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 805[label="",style="solid", color="blue", weight=9]; 10.85/4.45 805 -> 417[label="",style="solid", color="blue", weight=3]; 10.85/4.45 806[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 806[label="",style="solid", color="blue", weight=9]; 10.85/4.45 806 -> 418[label="",style="solid", color="blue", weight=3]; 10.85/4.45 807[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 807[label="",style="solid", color="blue", weight=9]; 10.85/4.45 807 -> 419[label="",style="solid", color="blue", weight=3]; 10.85/4.45 808[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 808[label="",style="solid", color="blue", weight=9]; 10.85/4.45 808 -> 420[label="",style="solid", color="blue", weight=3]; 10.85/4.45 809[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 809[label="",style="solid", color="blue", weight=9]; 10.85/4.45 809 -> 421[label="",style="solid", color="blue", weight=3]; 10.85/4.45 810[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 810[label="",style="solid", color="blue", weight=9]; 10.85/4.45 810 -> 422[label="",style="solid", color="blue", weight=3]; 10.85/4.45 811[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 811[label="",style="solid", color="blue", weight=9]; 10.85/4.45 811 -> 423[label="",style="solid", color="blue", weight=3]; 10.85/4.45 812[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];292 -> 812[label="",style="solid", color="blue", weight=9]; 10.85/4.45 812 -> 424[label="",style="solid", color="blue", weight=3]; 10.85/4.45 293[label="xv302 == xv402",fontsize=16,color="blue",shape="box"];813[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 813[label="",style="solid", color="blue", weight=9]; 10.85/4.45 813 -> 425[label="",style="solid", color="blue", weight=3]; 10.85/4.45 814[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 814[label="",style="solid", color="blue", weight=9]; 10.85/4.45 814 -> 426[label="",style="solid", color="blue", weight=3]; 10.85/4.45 815[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 815[label="",style="solid", color="blue", weight=9]; 10.85/4.45 815 -> 427[label="",style="solid", color="blue", weight=3]; 10.85/4.45 816[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 816[label="",style="solid", color="blue", weight=9]; 10.85/4.45 816 -> 428[label="",style="solid", color="blue", weight=3]; 10.85/4.45 817[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 817[label="",style="solid", color="blue", weight=9]; 10.85/4.45 817 -> 429[label="",style="solid", color="blue", weight=3]; 10.85/4.45 818[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 818[label="",style="solid", color="blue", weight=9]; 10.85/4.45 818 -> 430[label="",style="solid", color="blue", weight=3]; 10.85/4.45 819[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 819[label="",style="solid", color="blue", weight=9]; 10.85/4.45 819 -> 431[label="",style="solid", color="blue", weight=3]; 10.85/4.45 820[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 820[label="",style="solid", color="blue", weight=9]; 10.85/4.45 820 -> 432[label="",style="solid", color="blue", weight=3]; 10.85/4.45 821[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 821[label="",style="solid", color="blue", weight=9]; 10.85/4.45 821 -> 433[label="",style="solid", color="blue", weight=3]; 10.85/4.45 822[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 822[label="",style="solid", color="blue", weight=9]; 10.85/4.45 822 -> 434[label="",style="solid", color="blue", weight=3]; 10.85/4.45 823[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 823[label="",style="solid", color="blue", weight=9]; 10.85/4.45 823 -> 435[label="",style="solid", color="blue", weight=3]; 10.85/4.45 824[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 824[label="",style="solid", color="blue", weight=9]; 10.85/4.45 824 -> 436[label="",style="solid", color="blue", weight=3]; 10.85/4.45 825[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 825[label="",style="solid", color="blue", weight=9]; 10.85/4.45 825 -> 437[label="",style="solid", color="blue", weight=3]; 10.85/4.45 826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];293 -> 826[label="",style="solid", color="blue", weight=9]; 10.85/4.45 826 -> 438[label="",style="solid", color="blue", weight=3]; 10.85/4.45 294 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 294[label="xv300 == xv400",fontsize=16,color="magenta"];294 -> 439[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 294 -> 440[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 295 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 295[label="xv300 == xv400",fontsize=16,color="magenta"];295 -> 441[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 295 -> 442[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 296 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 296[label="xv300 == xv400",fontsize=16,color="magenta"];296 -> 443[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 296 -> 444[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 297 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 297[label="xv300 == xv400",fontsize=16,color="magenta"];297 -> 445[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 297 -> 446[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 298 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 298[label="xv300 == xv400",fontsize=16,color="magenta"];298 -> 447[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 298 -> 448[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 299 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 299[label="xv300 == xv400",fontsize=16,color="magenta"];299 -> 449[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 299 -> 450[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 300 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 300[label="xv300 == xv400",fontsize=16,color="magenta"];300 -> 451[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 300 -> 452[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 301 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 301[label="xv300 == xv400",fontsize=16,color="magenta"];301 -> 453[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 301 -> 454[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 302 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 302[label="xv300 == xv400",fontsize=16,color="magenta"];302 -> 455[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 302 -> 456[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 303 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 303[label="xv300 == xv400",fontsize=16,color="magenta"];303 -> 457[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 303 -> 458[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 304 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 304[label="xv300 == xv400",fontsize=16,color="magenta"];304 -> 459[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 304 -> 460[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 305 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 305[label="xv300 == xv400",fontsize=16,color="magenta"];305 -> 461[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 305 -> 462[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 306 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 306[label="xv300 == xv400",fontsize=16,color="magenta"];306 -> 463[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 306 -> 464[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 307 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 307[label="xv300 == xv400",fontsize=16,color="magenta"];307 -> 465[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 307 -> 466[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 308 -> 15[label="",style="dashed", color="red", weight=0]; 10.85/4.45 308[label="xv301 == xv401",fontsize=16,color="magenta"];308 -> 467[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 308 -> 468[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 309 -> 16[label="",style="dashed", color="red", weight=0]; 10.85/4.45 309[label="xv301 == xv401",fontsize=16,color="magenta"];309 -> 469[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 309 -> 470[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 310 -> 17[label="",style="dashed", color="red", weight=0]; 10.85/4.45 310[label="xv301 == xv401",fontsize=16,color="magenta"];310 -> 471[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 310 -> 472[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 311 -> 18[label="",style="dashed", color="red", weight=0]; 10.85/4.45 311[label="xv301 == xv401",fontsize=16,color="magenta"];311 -> 473[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 311 -> 474[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 312 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 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color="magenta", weight=3]; 10.85/4.45 316 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 316[label="xv301 == xv401",fontsize=16,color="magenta"];316 -> 483[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 316 -> 484[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 317 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 317[label="xv301 == xv401",fontsize=16,color="magenta"];317 -> 485[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 317 -> 486[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 318 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 318[label="xv301 == xv401",fontsize=16,color="magenta"];318 -> 487[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 318 -> 488[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 319 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 319[label="xv301 == xv401",fontsize=16,color="magenta"];319 -> 489[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 319 -> 490[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 320 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 320[label="xv301 == xv401",fontsize=16,color="magenta"];320 -> 491[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 320 -> 492[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 321 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 321[label="xv301 == xv401",fontsize=16,color="magenta"];321 -> 493[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 321 -> 494[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 322[label="primMulInt xv300 xv401",fontsize=16,color="burlywood",shape="box"];827[label="xv300/Pos xv3000",fontsize=10,color="white",style="solid",shape="box"];322 -> 827[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 827 -> 495[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 828[label="xv300/Neg xv3000",fontsize=10,color="white",style="solid",shape="box"];322 -> 828[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 828 -> 496[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 323[label="xv301",fontsize=16,color="green",shape="box"];324[label="xv400",fontsize=16,color="green",shape="box"];325[label="primEqNat (Succ xv3000) (Succ xv4000)",fontsize=16,color="black",shape="box"];325 -> 497[label="",style="solid", color="black", weight=3]; 10.85/4.45 326[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];326 -> 498[label="",style="solid", color="black", weight=3]; 10.85/4.45 327[label="primEqNat Zero (Succ xv4000)",fontsize=16,color="black",shape="box"];327 -> 499[label="",style="solid", color="black", weight=3]; 10.85/4.45 328[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];328 -> 500[label="",style="solid", color="black", weight=3]; 10.85/4.45 329[label="xv300",fontsize=16,color="green",shape="box"];330[label="xv401",fontsize=16,color="green",shape="box"];331[label="xv301",fontsize=16,color="green",shape="box"];332[label="xv400",fontsize=16,color="green",shape="box"];333 -> 114[label="",style="dashed", color="red", weight=0]; 10.85/4.45 333[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];333 -> 501[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 333 -> 502[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 334[label="False",fontsize=16,color="green",shape="box"];335[label="False",fontsize=16,color="green",shape="box"];336[label="True",fontsize=16,color="green",shape="box"];337[label="False",fontsize=16,color="green",shape="box"];338[label="True",fontsize=16,color="green",shape="box"];339 -> 114[label="",style="dashed", color="red", weight=0]; 10.85/4.45 339[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];339 -> 503[label="",style="dashed", color="magenta", weight=3]; 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weight=3]; 10.85/4.45 429 -> 19[label="",style="dashed", color="red", weight=0]; 10.85/4.45 429[label="xv302 == xv402",fontsize=16,color="magenta"];429 -> 541[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 429 -> 542[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 430 -> 20[label="",style="dashed", color="red", weight=0]; 10.85/4.45 430[label="xv302 == xv402",fontsize=16,color="magenta"];430 -> 543[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 430 -> 544[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 431 -> 4[label="",style="dashed", color="red", weight=0]; 10.85/4.45 431[label="xv302 == xv402",fontsize=16,color="magenta"];431 -> 545[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 431 -> 546[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 432 -> 22[label="",style="dashed", color="red", weight=0]; 10.85/4.45 432[label="xv302 == xv402",fontsize=16,color="magenta"];432 -> 547[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 432 -> 548[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 433 -> 23[label="",style="dashed", color="red", weight=0]; 10.85/4.45 433[label="xv302 == xv402",fontsize=16,color="magenta"];433 -> 549[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 433 -> 550[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 434 -> 24[label="",style="dashed", color="red", weight=0]; 10.85/4.45 434[label="xv302 == xv402",fontsize=16,color="magenta"];434 -> 551[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 434 -> 552[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 435 -> 25[label="",style="dashed", color="red", weight=0]; 10.85/4.45 435[label="xv302 == xv402",fontsize=16,color="magenta"];435 -> 553[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 435 -> 554[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 436 -> 26[label="",style="dashed", color="red", weight=0]; 10.85/4.45 436[label="xv302 == xv402",fontsize=16,color="magenta"];436 -> 555[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 436 -> 556[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 437 -> 27[label="",style="dashed", color="red", weight=0]; 10.85/4.45 437[label="xv302 == xv402",fontsize=16,color="magenta"];437 -> 557[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 437 -> 558[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 438 -> 28[label="",style="dashed", color="red", weight=0]; 10.85/4.45 438[label="xv302 == xv402",fontsize=16,color="magenta"];438 -> 559[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 438 -> 560[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 439[label="xv300",fontsize=16,color="green",shape="box"];440[label="xv400",fontsize=16,color="green",shape="box"];441[label="xv300",fontsize=16,color="green",shape="box"];442[label="xv400",fontsize=16,color="green",shape="box"];443[label="xv300",fontsize=16,color="green",shape="box"];444[label="xv400",fontsize=16,color="green",shape="box"];445[label="xv300",fontsize=16,color="green",shape="box"];446[label="xv400",fontsize=16,color="green",shape="box"];447[label="xv300",fontsize=16,color="green",shape="box"];448[label="xv400",fontsize=16,color="green",shape="box"];449[label="xv300",fontsize=16,color="green",shape="box"];450[label="xv400",fontsize=16,color="green",shape="box"];451[label="xv300",fontsize=16,color="green",shape="box"];452[label="xv400",fontsize=16,color="green",shape="box"];453[label="xv300",fontsize=16,color="green",shape="box"];454[label="xv400",fontsize=16,color="green",shape="box"];455[label="xv300",fontsize=16,color="green",shape="box"];456[label="xv400",fontsize=16,color="green",shape="box"];457[label="xv300",fontsize=16,color="green",shape="box"];458[label="xv400",fontsize=16,color="green",shape="box"];459[label="xv300",fontsize=16,color="green",shape="box"];460[label="xv400",fontsize=16,color="green",shape="box"];461[label="xv300",fontsize=16,color="green",shape="box"];462[label="xv400",fontsize=16,color="green",shape="box"];463[label="xv300",fontsize=16,color="green",shape="box"];464[label="xv400",fontsize=16,color="green",shape="box"];465[label="xv300",fontsize=16,color="green",shape="box"];466[label="xv400",fontsize=16,color="green",shape="box"];467[label="xv301",fontsize=16,color="green",shape="box"];468[label="xv401",fontsize=16,color="green",shape="box"];469[label="xv301",fontsize=16,color="green",shape="box"];470[label="xv401",fontsize=16,color="green",shape="box"];471[label="xv301",fontsize=16,color="green",shape="box"];472[label="xv401",fontsize=16,color="green",shape="box"];473[label="xv301",fontsize=16,color="green",shape="box"];474[label="xv401",fontsize=16,color="green",shape="box"];475[label="xv301",fontsize=16,color="green",shape="box"];476[label="xv401",fontsize=16,color="green",shape="box"];477[label="xv301",fontsize=16,color="green",shape="box"];478[label="xv401",fontsize=16,color="green",shape="box"];479[label="xv301",fontsize=16,color="green",shape="box"];480[label="xv401",fontsize=16,color="green",shape="box"];481[label="xv301",fontsize=16,color="green",shape="box"];482[label="xv401",fontsize=16,color="green",shape="box"];483[label="xv301",fontsize=16,color="green",shape="box"];484[label="xv401",fontsize=16,color="green",shape="box"];485[label="xv301",fontsize=16,color="green",shape="box"];486[label="xv401",fontsize=16,color="green",shape="box"];487[label="xv301",fontsize=16,color="green",shape="box"];488[label="xv401",fontsize=16,color="green",shape="box"];489[label="xv301",fontsize=16,color="green",shape="box"];490[label="xv401",fontsize=16,color="green",shape="box"];491[label="xv301",fontsize=16,color="green",shape="box"];492[label="xv401",fontsize=16,color="green",shape="box"];493[label="xv301",fontsize=16,color="green",shape="box"];494[label="xv401",fontsize=16,color="green",shape="box"];495[label="primMulInt (Pos xv3000) xv401",fontsize=16,color="burlywood",shape="box"];829[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];495 -> 829[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 829 -> 561[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 830[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];495 -> 830[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 830 -> 562[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 496[label="primMulInt (Neg xv3000) xv401",fontsize=16,color="burlywood",shape="box"];831[label="xv401/Pos xv4010",fontsize=10,color="white",style="solid",shape="box"];496 -> 831[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 831 -> 563[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 832[label="xv401/Neg xv4010",fontsize=10,color="white",style="solid",shape="box"];496 -> 832[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 832 -> 564[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 497 -> 114[label="",style="dashed", color="red", weight=0]; 10.85/4.45 497[label="primEqNat xv3000 xv4000",fontsize=16,color="magenta"];497 -> 565[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 497 -> 566[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 498[label="False",fontsize=16,color="green",shape="box"];499[label="False",fontsize=16,color="green",shape="box"];500[label="True",fontsize=16,color="green",shape="box"];501[label="xv3000",fontsize=16,color="green",shape="box"];502[label="xv4000",fontsize=16,color="green",shape="box"];503[label="xv3000",fontsize=16,color="green",shape="box"];504[label="xv4000",fontsize=16,color="green",shape="box"];505[label="xv301",fontsize=16,color="green",shape="box"];506[label="xv401",fontsize=16,color="green",shape="box"];507[label="xv301",fontsize=16,color="green",shape="box"];508[label="xv401",fontsize=16,color="green",shape="box"];509[label="xv301",fontsize=16,color="green",shape="box"];510[label="xv401",fontsize=16,color="green",shape="box"];511[label="xv301",fontsize=16,color="green",shape="box"];512[label="xv401",fontsize=16,color="green",shape="box"];513[label="xv301",fontsize=16,color="green",shape="box"];514[label="xv401",fontsize=16,color="green",shape="box"];515[label="xv301",fontsize=16,color="green",shape="box"];516[label="xv401",fontsize=16,color="green",shape="box"];517[label="xv301",fontsize=16,color="green",shape="box"];518[label="xv401",fontsize=16,color="green",shape="box"];519[label="xv301",fontsize=16,color="green",shape="box"];520[label="xv401",fontsize=16,color="green",shape="box"];521[label="xv301",fontsize=16,color="green",shape="box"];522[label="xv401",fontsize=16,color="green",shape="box"];523[label="xv301",fontsize=16,color="green",shape="box"];524[label="xv401",fontsize=16,color="green",shape="box"];525[label="xv301",fontsize=16,color="green",shape="box"];526[label="xv401",fontsize=16,color="green",shape="box"];527[label="xv301",fontsize=16,color="green",shape="box"];528[label="xv401",fontsize=16,color="green",shape="box"];529[label="xv301",fontsize=16,color="green",shape="box"];530[label="xv401",fontsize=16,color="green",shape="box"];531[label="xv301",fontsize=16,color="green",shape="box"];532[label="xv401",fontsize=16,color="green",shape="box"];533[label="xv302",fontsize=16,color="green",shape="box"];534[label="xv402",fontsize=16,color="green",shape="box"];535[label="xv302",fontsize=16,color="green",shape="box"];536[label="xv402",fontsize=16,color="green",shape="box"];537[label="xv302",fontsize=16,color="green",shape="box"];538[label="xv402",fontsize=16,color="green",shape="box"];539[label="xv302",fontsize=16,color="green",shape="box"];540[label="xv402",fontsize=16,color="green",shape="box"];541[label="xv302",fontsize=16,color="green",shape="box"];542[label="xv402",fontsize=16,color="green",shape="box"];543[label="xv302",fontsize=16,color="green",shape="box"];544[label="xv402",fontsize=16,color="green",shape="box"];545[label="xv302",fontsize=16,color="green",shape="box"];546[label="xv402",fontsize=16,color="green",shape="box"];547[label="xv302",fontsize=16,color="green",shape="box"];548[label="xv402",fontsize=16,color="green",shape="box"];549[label="xv302",fontsize=16,color="green",shape="box"];550[label="xv402",fontsize=16,color="green",shape="box"];551[label="xv302",fontsize=16,color="green",shape="box"];552[label="xv402",fontsize=16,color="green",shape="box"];553[label="xv302",fontsize=16,color="green",shape="box"];554[label="xv402",fontsize=16,color="green",shape="box"];555[label="xv302",fontsize=16,color="green",shape="box"];556[label="xv402",fontsize=16,color="green",shape="box"];557[label="xv302",fontsize=16,color="green",shape="box"];558[label="xv402",fontsize=16,color="green",shape="box"];559[label="xv302",fontsize=16,color="green",shape="box"];560[label="xv402",fontsize=16,color="green",shape="box"];561[label="primMulInt (Pos xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];561 -> 567[label="",style="solid", color="black", weight=3]; 10.85/4.45 562[label="primMulInt (Pos xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];562 -> 568[label="",style="solid", color="black", weight=3]; 10.85/4.45 563[label="primMulInt (Neg xv3000) (Pos xv4010)",fontsize=16,color="black",shape="box"];563 -> 569[label="",style="solid", color="black", weight=3]; 10.85/4.45 564[label="primMulInt (Neg xv3000) (Neg xv4010)",fontsize=16,color="black",shape="box"];564 -> 570[label="",style="solid", color="black", weight=3]; 10.85/4.45 565[label="xv3000",fontsize=16,color="green",shape="box"];566[label="xv4000",fontsize=16,color="green",shape="box"];567[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];567 -> 571[label="",style="dashed", color="green", weight=3]; 10.85/4.45 568[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];568 -> 572[label="",style="dashed", color="green", weight=3]; 10.85/4.45 569[label="Neg (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];569 -> 573[label="",style="dashed", color="green", weight=3]; 10.85/4.45 570[label="Pos (primMulNat xv3000 xv4010)",fontsize=16,color="green",shape="box"];570 -> 574[label="",style="dashed", color="green", weight=3]; 10.85/4.45 571[label="primMulNat xv3000 xv4010",fontsize=16,color="burlywood",shape="triangle"];833[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];571 -> 833[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 833 -> 575[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 834[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];571 -> 834[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 834 -> 576[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 572 -> 571[label="",style="dashed", color="red", weight=0]; 10.85/4.45 572[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];572 -> 577[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 573 -> 571[label="",style="dashed", color="red", weight=0]; 10.85/4.45 573[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];573 -> 578[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 574 -> 571[label="",style="dashed", color="red", weight=0]; 10.85/4.45 574[label="primMulNat xv3000 xv4010",fontsize=16,color="magenta"];574 -> 579[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 574 -> 580[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 575[label="primMulNat (Succ xv30000) xv4010",fontsize=16,color="burlywood",shape="box"];835[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];575 -> 835[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 835 -> 581[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 836[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];575 -> 836[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 836 -> 582[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 576[label="primMulNat Zero xv4010",fontsize=16,color="burlywood",shape="box"];837[label="xv4010/Succ xv40100",fontsize=10,color="white",style="solid",shape="box"];576 -> 837[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 837 -> 583[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 838[label="xv4010/Zero",fontsize=10,color="white",style="solid",shape="box"];576 -> 838[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 838 -> 584[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 577[label="xv4010",fontsize=16,color="green",shape="box"];578[label="xv3000",fontsize=16,color="green",shape="box"];579[label="xv3000",fontsize=16,color="green",shape="box"];580[label="xv4010",fontsize=16,color="green",shape="box"];581[label="primMulNat (Succ xv30000) (Succ xv40100)",fontsize=16,color="black",shape="box"];581 -> 585[label="",style="solid", color="black", weight=3]; 10.85/4.45 582[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];582 -> 586[label="",style="solid", color="black", weight=3]; 10.85/4.45 583[label="primMulNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];583 -> 587[label="",style="solid", color="black", weight=3]; 10.85/4.45 584[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];584 -> 588[label="",style="solid", color="black", weight=3]; 10.85/4.45 585 -> 589[label="",style="dashed", color="red", weight=0]; 10.85/4.45 585[label="primPlusNat (primMulNat xv30000 (Succ xv40100)) (Succ xv40100)",fontsize=16,color="magenta"];585 -> 590[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 586[label="Zero",fontsize=16,color="green",shape="box"];587[label="Zero",fontsize=16,color="green",shape="box"];588[label="Zero",fontsize=16,color="green",shape="box"];590 -> 571[label="",style="dashed", color="red", weight=0]; 10.85/4.45 590[label="primMulNat xv30000 (Succ xv40100)",fontsize=16,color="magenta"];590 -> 591[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 590 -> 592[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 589[label="primPlusNat xv11 (Succ xv40100)",fontsize=16,color="burlywood",shape="triangle"];839[label="xv11/Succ xv110",fontsize=10,color="white",style="solid",shape="box"];589 -> 839[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 839 -> 593[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 840[label="xv11/Zero",fontsize=10,color="white",style="solid",shape="box"];589 -> 840[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 840 -> 594[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 591[label="xv30000",fontsize=16,color="green",shape="box"];592[label="Succ xv40100",fontsize=16,color="green",shape="box"];593[label="primPlusNat (Succ xv110) (Succ xv40100)",fontsize=16,color="black",shape="box"];593 -> 595[label="",style="solid", color="black", weight=3]; 10.85/4.45 594[label="primPlusNat Zero (Succ xv40100)",fontsize=16,color="black",shape="box"];594 -> 596[label="",style="solid", color="black", weight=3]; 10.85/4.45 595[label="Succ (Succ (primPlusNat xv110 xv40100))",fontsize=16,color="green",shape="box"];595 -> 597[label="",style="dashed", color="green", weight=3]; 10.85/4.45 596[label="Succ xv40100",fontsize=16,color="green",shape="box"];597[label="primPlusNat xv110 xv40100",fontsize=16,color="burlywood",shape="triangle"];841[label="xv110/Succ xv1100",fontsize=10,color="white",style="solid",shape="box"];597 -> 841[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 841 -> 598[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 842[label="xv110/Zero",fontsize=10,color="white",style="solid",shape="box"];597 -> 842[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 842 -> 599[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 598[label="primPlusNat (Succ xv1100) xv40100",fontsize=16,color="burlywood",shape="box"];843[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];598 -> 843[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 843 -> 600[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 844[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];598 -> 844[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 844 -> 601[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 599[label="primPlusNat Zero xv40100",fontsize=16,color="burlywood",shape="box"];845[label="xv40100/Succ xv401000",fontsize=10,color="white",style="solid",shape="box"];599 -> 845[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 845 -> 602[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 846[label="xv40100/Zero",fontsize=10,color="white",style="solid",shape="box"];599 -> 846[label="",style="solid", color="burlywood", weight=9]; 10.85/4.45 846 -> 603[label="",style="solid", color="burlywood", weight=3]; 10.85/4.45 600[label="primPlusNat (Succ xv1100) (Succ xv401000)",fontsize=16,color="black",shape="box"];600 -> 604[label="",style="solid", color="black", weight=3]; 10.85/4.45 601[label="primPlusNat (Succ xv1100) Zero",fontsize=16,color="black",shape="box"];601 -> 605[label="",style="solid", color="black", weight=3]; 10.85/4.45 602[label="primPlusNat Zero (Succ xv401000)",fontsize=16,color="black",shape="box"];602 -> 606[label="",style="solid", color="black", weight=3]; 10.85/4.45 603[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];603 -> 607[label="",style="solid", color="black", weight=3]; 10.85/4.45 604[label="Succ (Succ (primPlusNat xv1100 xv401000))",fontsize=16,color="green",shape="box"];604 -> 608[label="",style="dashed", color="green", weight=3]; 10.85/4.45 605[label="Succ xv1100",fontsize=16,color="green",shape="box"];606[label="Succ xv401000",fontsize=16,color="green",shape="box"];607[label="Zero",fontsize=16,color="green",shape="box"];608 -> 597[label="",style="dashed", color="red", weight=0]; 10.85/4.45 608[label="primPlusNat xv1100 xv401000",fontsize=16,color="magenta"];608 -> 609[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 608 -> 610[label="",style="dashed", color="magenta", weight=3]; 10.85/4.45 609[label="xv401000",fontsize=16,color="green",shape="box"];610[label="xv1100",fontsize=16,color="green",shape="box"];} 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (6) 10.85/4.45 Complex Obligation (AND) 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (7) 10.85/4.45 Obligation: 10.85/4.45 Q DP problem: 10.85/4.45 The TRS P consists of the following rules: 10.85/4.45 10.85/4.45 new_primMulNat(Succ(xv30000), Succ(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) 10.85/4.45 10.85/4.45 R is empty. 10.85/4.45 Q is empty. 10.85/4.45 We have to consider all minimal (P,Q,R)-chains. 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (8) QDPSizeChangeProof (EQUIVALENT) 10.85/4.45 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. 10.85/4.45 10.85/4.45 From the DPs we obtained the following set of size-change graphs: 10.85/4.45 *new_primMulNat(Succ(xv30000), Succ(xv40100)) -> new_primMulNat(xv30000, Succ(xv40100)) 10.85/4.45 The graph contains the following edges 1 > 1, 2 >= 2 10.85/4.45 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (9) 10.85/4.45 YES 10.85/4.45 10.85/4.45 ---------------------------------------- 10.85/4.45 10.85/4.45 (10) 10.85/4.45 Obligation: 10.85/4.45 Q DP problem: 10.85/4.45 The TRS P consists of the following rules: 10.85/4.45 10.85/4.45 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bba), bbb), bah) -> new_esEs0(xv300, xv400, bba, bbb) 10.85/4.45 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], h))) -> new_esEs(xv300, xv400, h) 10.85/4.45 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], eh)), fa), fb)) -> new_esEs(xv300, xv400, eh) 10.85/4.45 new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, cf)), cc)) -> new_esEs1(xv300, xv400, cf) 10.85/4.45 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(ty_Either, hg), hh))) -> new_esEs0(xv302, xv402, hg, hh) 10.85/4.45 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(ty_@2, bae), baf))) -> new_esEs3(xv302, xv402, bae, baf) 10.85/4.45 new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv400, bg, bh) 10.85/4.45 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(ty_[], hf)) -> new_esEs(xv302, xv402, hf) 10.85/4.45 new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bc)) -> new_esEs1(xv300, xv400, bc) 10.85/4.45 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(ty_[], ge), fb) -> new_esEs(xv301, xv401, ge) 10.85/4.45 new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) 10.85/4.45 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(ty_Either, gf), gg)), fb)) -> new_esEs0(xv301, xv401, gf, gg) 10.85/4.45 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(ty_@2, hd), he), fb) -> new_esEs3(xv301, xv401, hd, he) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], eh), fa, fb) -> new_esEs(xv300, xv400, eh) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbc), bah) -> new_esEs1(xv300, xv400, bbc) 10.85/4.46 new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(ty_Either, dg), dh))) -> new_esEs0(xv300, xv400, dg, dh) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(app(ty_@3, bcf), bcg), bch))) -> new_esEs2(xv301, xv401, bcf, bcg, bch) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(app(ty_@3, ha), hb), hc), fb) -> new_esEs2(xv301, xv401, ha, hb, hc) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(ty_Maybe, bce)) -> new_esEs1(xv301, xv401, bce) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, fg), fh), ga), fa, fb) -> new_esEs2(xv300, xv400, fg, fh, ga) 10.85/4.46 new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xv300, xv400, cd, ce) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(ty_Either, hg), hh)) -> new_esEs0(xv302, xv402, hg, hh) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(ty_[], hf))) -> new_esEs(xv302, xv402, hf) 10.85/4.46 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, ba), bb))) -> new_esEs0(xv300, xv400, ba, bb) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbd), bbe), bbf), bah) -> new_esEs2(xv300, xv400, bbd, bbe, bbf) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, fg), fh), ga)), fa), fb)) -> new_esEs2(xv300, xv400, fg, fh, ga) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(app(ty_@3, bab), bac), bad))) -> new_esEs2(xv302, xv402, bab, bac, bad) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bag), bah) -> new_esEs(xv300, xv400, bag) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bag)), bah)) -> new_esEs(xv300, xv400, bag) 10.85/4.46 new_esEs0(Right(xv300), Right(xv400), de, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xv300, xv400, eb, ec, ed) 10.85/4.46 new_esEs1(Just(xv30), Just(xv40), app(ty_Maybe, eg)) -> new_esEs1(xv30, xv40, eg) 10.85/4.46 new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(ty_@2, ee), ef))) -> new_esEs3(xv300, xv400, ee, ef) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(ty_Maybe, gh)), fb)) -> new_esEs1(xv301, xv401, gh) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(app(ty_@3, ha), hb), hc)), fb)) -> new_esEs2(xv301, xv401, ha, hb, hc) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xv301, xv401, bcf, bcg, bch) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, gb), gc)), fa), fb)) -> new_esEs3(xv300, xv400, gb, gc) 10.85/4.46 new_esEs0(Left(xv300), Left(xv400), app(ty_[], cb), cc) -> new_esEs(xv300, xv400, cb) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, fc), fd)), fa), fb)) -> new_esEs0(xv300, xv400, fc, fd) 10.85/4.46 new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, cf), cc) -> new_esEs1(xv300, xv400, cf) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(ty_[], ge)), fb)) -> new_esEs(xv301, xv401, ge) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(ty_[], bcb))) -> new_esEs(xv301, xv401, bcb) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(ty_Either, bcc), bcd)) -> new_esEs0(xv301, xv401, bcc, bcd) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(ty_@2, bda), bdb))) -> new_esEs3(xv301, xv401, bda, bdb) 10.85/4.46 new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(app(ty_@3, eb), ec), ed))) -> new_esEs2(xv300, xv400, eb, ec, ed) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(ty_@2, bae), baf)) -> new_esEs3(xv302, xv402, bae, baf) 10.85/4.46 new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xv300, xv400, dg, dh) 10.85/4.46 new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ff), fa, fb) -> new_esEs1(xv300, xv400, ff) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(ty_Maybe, gh), fb) -> new_esEs1(xv301, xv401, gh) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ff)), fa), fb)) -> new_esEs1(xv300, xv400, ff) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(ty_Maybe, baa))) -> new_esEs1(xv302, xv402, baa) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, gb), gc), fa, fb) -> new_esEs3(xv300, xv400, gb, gc) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(ty_Maybe, baa)) -> new_esEs1(xv302, xv402, baa) 10.85/4.46 new_esEs0(Right(xv300), Right(xv400), de, app(ty_[], df)) -> new_esEs(xv300, xv400, df) 10.85/4.46 new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, cg), da), db)), cc)) -> new_esEs2(xv300, xv400, cg, da, db) 10.85/4.46 new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, cg), da), db), cc) -> new_esEs2(xv300, xv400, cg, da, db) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(ty_@2, bda), bdb)) -> new_esEs3(xv301, xv401, bda, bdb) 10.85/4.46 new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, dc), dd), cc) -> new_esEs3(xv300, xv400, dc, dd) 10.85/4.46 new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(ty_@2, hd), he)), fb)) -> new_esEs3(xv301, xv401, hd, he) 10.85/4.46 new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_@2, ee), ef)) -> new_esEs3(xv300, xv400, ee, ef) 10.85/4.46 new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, dc), dd)), cc)) -> new_esEs3(xv300, xv400, dc, dd) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(ty_Either, gf), gg), fb) -> new_esEs0(xv301, xv401, gf, gg) 10.85/4.46 new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, cd), ce)), cc)) -> new_esEs0(xv300, xv400, cd, ce) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fc), fd), fa, fb) -> new_esEs0(xv300, xv400, fc, fd) 10.85/4.46 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, bd), be), bf))) -> new_esEs2(xv300, xv400, bd, be, bf) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(ty_Maybe, bce))) -> new_esEs1(xv301, xv401, bce) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbg), bbh), bah) -> new_esEs3(xv300, xv400, bbg, bbh) 10.85/4.46 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bg), bh))) -> new_esEs3(xv300, xv400, bg, bh) 10.85/4.46 new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(ty_[], bcb)) -> new_esEs(xv301, xv401, bcb) 10.85/4.46 new_esEs0(Right(xv300), Right(xv400), de, app(ty_Maybe, ea)) -> new_esEs1(xv300, xv400, ea) 10.85/4.46 new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bbd), bbe), bbf)), bah)) -> new_esEs2(xv300, xv400, bbd, bbe, bbf) 10.85/4.46 new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(ty_Maybe, ea))) -> new_esEs1(xv300, xv400, ea) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbc)), bah)) -> new_esEs1(xv300, xv400, bbc) 10.85/4.46 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, bc))) -> new_esEs1(xv300, xv400, bc) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bba), bbb)), bah)) -> new_esEs0(xv300, xv400, bba, bbb) 10.85/4.46 new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs2(xv302, xv402, bab, bac, bad) 10.85/4.46 new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], cb)), cc)) -> new_esEs(xv300, xv400, cb) 10.85/4.46 new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(ty_[], df))) -> new_esEs(xv300, xv400, df) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(ty_Either, bcc), bcd))) -> new_esEs0(xv301, xv401, bcc, bcd) 10.85/4.46 new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv400, bd, be, bf) 10.85/4.46 new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], ca)) -> new_esEs(xv301, xv401, ca) 10.85/4.46 new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbg), bbh)), bah)) -> new_esEs3(xv300, xv400, bbg, bbh) 10.85/4.46 10.85/4.46 R is empty. 10.85/4.46 Q is empty. 10.85/4.46 We have to consider all minimal (P,Q,R)-chains. 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (11) QDPSizeChangeProof (EQUIVALENT) 10.85/4.46 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. 10.85/4.46 10.85/4.46 From the DPs we obtained the following set of size-change graphs: 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_@2, bg), bh)) -> new_esEs3(xv300, xv400, bg, bh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_Maybe, bc)) -> new_esEs1(xv300, xv400, bc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(app(ty_@3, bd), be), bf)) -> new_esEs2(xv300, xv400, bd, be, bf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(app(ty_Either, ba), bb)) -> new_esEs0(xv300, xv400, ba, bb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_@2, dc), dd), cc) -> new_esEs3(xv300, xv400, dc, dd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_@2, ee), ef)) -> new_esEs3(xv300, xv400, ee, ef) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Left(xv300), Left(xv400), app(ty_Maybe, cf), cc) -> new_esEs1(xv300, xv400, cf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Right(xv300), Right(xv400), de, app(ty_Maybe, ea)) -> new_esEs1(xv300, xv400, ea) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Left(xv300), Left(xv400), app(ty_[], cb), cc) -> new_esEs(xv300, xv400, cb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Right(xv300), Right(xv400), de, app(ty_[], df)) -> new_esEs(xv300, xv400, df) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Right(xv300), Right(xv400), de, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs2(xv300, xv400, eb, ec, ed) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Left(xv300), Left(xv400), app(app(app(ty_@3, cg), da), db), cc) -> new_esEs2(xv300, xv400, cg, da, db) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Left(xv300), Left(xv400), app(app(ty_Either, cd), ce), cc) -> new_esEs0(xv300, xv400, cd, ce) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs0(Right(xv300), Right(xv400), de, app(app(ty_Either, dg), dh)) -> new_esEs0(xv300, xv400, dg, dh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(ty_@2, bae), baf))) -> new_esEs3(xv302, xv402, bae, baf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(ty_@2, ee), ef))) -> new_esEs3(xv300, xv400, ee, ef) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_@2, gb), gc)), fa), fb)) -> new_esEs3(xv300, xv400, gb, gc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(ty_@2, bda), bdb))) -> new_esEs3(xv301, xv401, bda, bdb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(ty_@2, hd), he)), fb)) -> new_esEs3(xv301, xv401, hd, he) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_@2, dc), dd)), cc)) -> new_esEs3(xv300, xv400, dc, dd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_@2, bg), bh))) -> new_esEs3(xv300, xv400, bg, bh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_@2, bbg), bbh)), bah)) -> new_esEs3(xv300, xv400, bbg, bbh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(ty_@2, bda), bdb)) -> new_esEs3(xv301, xv401, bda, bdb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_@2, bbg), bbh), bah) -> new_esEs3(xv300, xv400, bbg, bbh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(ty_@2, hd), he), fb) -> new_esEs3(xv301, xv401, hd, he) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(ty_@2, bae), baf)) -> new_esEs3(xv302, xv402, bae, baf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_@2, gb), gc), fa, fb) -> new_esEs3(xv300, xv400, gb, gc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), app(ty_[], h)) -> new_esEs(xv300, xv400, h) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs(:(xv300, xv301), :(xv400, xv401), ca) -> new_esEs(xv301, xv401, ca) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_Maybe, cf)), cc)) -> new_esEs1(xv300, xv400, cf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(xv30), Just(xv40), app(ty_Maybe, eg)) -> new_esEs1(xv30, xv40, eg) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(ty_Maybe, gh)), fb)) -> new_esEs1(xv301, xv401, gh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_Maybe, ff)), fa), fb)) -> new_esEs1(xv300, xv400, ff) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(ty_Maybe, baa))) -> new_esEs1(xv302, xv402, baa) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(ty_Maybe, bce))) -> new_esEs1(xv301, xv401, bce) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(ty_Maybe, ea))) -> new_esEs1(xv300, xv400, ea) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_Maybe, bbc)), bah)) -> new_esEs1(xv300, xv400, bbc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_Maybe, bc))) -> new_esEs1(xv300, xv400, bc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_Maybe, bbc), bah) -> new_esEs1(xv300, xv400, bbc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(ty_Maybe, bce)) -> new_esEs1(xv301, xv401, bce) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_Maybe, ff), fa, fb) -> new_esEs1(xv300, xv400, ff) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(ty_Maybe, gh), fb) -> new_esEs1(xv301, xv401, gh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(ty_Maybe, baa)) -> new_esEs1(xv302, xv402, baa) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(ty_[], h))) -> new_esEs(xv300, xv400, h) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(ty_[], eh)), fa), fb)) -> new_esEs(xv300, xv400, eh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(ty_[], hf))) -> new_esEs(xv302, xv402, hf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(ty_[], bag)), bah)) -> new_esEs(xv300, xv400, bag) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(ty_[], ge)), fb)) -> new_esEs(xv301, xv401, ge) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(ty_[], bcb))) -> new_esEs(xv301, xv401, bcb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(ty_[], cb)), cc)) -> new_esEs(xv300, xv400, cb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(ty_[], df))) -> new_esEs(xv300, xv400, df) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], ca)) -> new_esEs(xv301, xv401, ca) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(app(ty_@3, bcf), bcg), bch))) -> new_esEs2(xv301, xv401, bcf, bcg, bch) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(app(ty_@3, fg), fh), ga)), fa), fb)) -> new_esEs2(xv300, xv400, fg, fh, ga) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(app(ty_@3, bab), bac), bad))) -> new_esEs2(xv302, xv402, bab, bac, bad) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(app(ty_@3, ha), hb), hc)), fb)) -> new_esEs2(xv301, xv401, ha, hb, hc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(app(ty_@3, eb), ec), ed))) -> new_esEs2(xv300, xv400, eb, ec, ed) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(app(ty_@3, cg), da), db)), cc)) -> new_esEs2(xv300, xv400, cg, da, db) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(app(ty_@3, bd), be), bf))) -> new_esEs2(xv300, xv400, bd, be, bf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(app(ty_@3, bbd), bbe), bbf)), bah)) -> new_esEs2(xv300, xv400, bbd, bbe, bbf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), fa), app(app(ty_Either, hg), hh))) -> new_esEs0(xv302, xv402, hg, hh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, gd), app(app(ty_Either, gf), gg)), fb)) -> new_esEs0(xv301, xv401, gf, gg) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Right(xv300)), Just(Right(xv400)), app(app(ty_Either, de), app(app(ty_Either, dg), dh))) -> new_esEs0(xv300, xv400, dg, dh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(:(xv300, xv301)), Just(:(xv400, xv401)), app(ty_[], app(app(ty_Either, ba), bb))) -> new_esEs0(xv300, xv400, ba, bb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@3(xv300, xv301, xv302)), Just(@3(xv400, xv401, xv402)), app(app(app(ty_@3, app(app(ty_Either, fc), fd)), fa), fb)) -> new_esEs0(xv300, xv400, fc, fd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(Left(xv300)), Just(Left(xv400)), app(app(ty_Either, app(app(ty_Either, cd), ce)), cc)) -> new_esEs0(xv300, xv400, cd, ce) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, app(app(ty_Either, bba), bbb)), bah)) -> new_esEs0(xv300, xv400, bba, bbb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs1(Just(@2(xv300, xv301)), Just(@2(xv400, xv401)), app(app(ty_@2, bca), app(app(ty_Either, bcc), bcd))) -> new_esEs0(xv301, xv401, bcc, bcd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(ty_[], bag), bah) -> new_esEs(xv300, xv400, bag) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(ty_[], bcb)) -> new_esEs(xv301, xv401, bcb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(app(ty_@3, bbd), bbe), bbf), bah) -> new_esEs2(xv300, xv400, bbd, bbe, bbf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs2(xv301, xv401, bcf, bcg, bch) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), app(app(ty_Either, bba), bbb), bah) -> new_esEs0(xv300, xv400, bba, bbb) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs3(@2(xv300, xv301), @2(xv400, xv401), bca, app(app(ty_Either, bcc), bcd)) -> new_esEs0(xv301, xv401, bcc, bcd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(ty_[], hf)) -> new_esEs(xv302, xv402, hf) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(ty_[], ge), fb) -> new_esEs(xv301, xv401, ge) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(ty_[], eh), fa, fb) -> new_esEs(xv300, xv400, eh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(app(ty_@3, ha), hb), hc), fb) -> new_esEs2(xv301, xv401, ha, hb, hc) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(app(ty_@3, fg), fh), ga), fa, fb) -> new_esEs2(xv300, xv400, fg, fh, ga) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs2(xv302, xv402, bab, bac, bad) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, fa, app(app(ty_Either, hg), hh)) -> new_esEs0(xv302, xv402, hg, hh) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), gd, app(app(ty_Either, gf), gg), fb) -> new_esEs0(xv301, xv401, gf, gg) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.85/4.46 10.85/4.46 10.85/4.46 *new_esEs2(@3(xv300, xv301, xv302), @3(xv400, xv401, xv402), app(app(ty_Either, fc), fd), fa, fb) -> new_esEs0(xv300, xv400, fc, fd) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.85/4.46 10.85/4.46 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (12) 10.85/4.46 YES 10.85/4.46 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (13) 10.85/4.46 Obligation: 10.85/4.46 Q DP problem: 10.85/4.46 The TRS P consists of the following rules: 10.85/4.46 10.85/4.46 new_primPlusNat(Succ(xv1100), Succ(xv401000)) -> new_primPlusNat(xv1100, xv401000) 10.85/4.46 10.85/4.46 R is empty. 10.85/4.46 Q is empty. 10.85/4.46 We have to consider all minimal (P,Q,R)-chains. 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (14) QDPSizeChangeProof (EQUIVALENT) 10.85/4.46 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. 10.85/4.46 10.85/4.46 From the DPs we obtained the following set of size-change graphs: 10.85/4.46 *new_primPlusNat(Succ(xv1100), Succ(xv401000)) -> new_primPlusNat(xv1100, xv401000) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2 10.85/4.46 10.85/4.46 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (15) 10.85/4.46 YES 10.85/4.46 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (16) 10.85/4.46 Obligation: 10.85/4.46 Q DP problem: 10.85/4.46 The TRS P consists of the following rules: 10.85/4.46 10.85/4.46 new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) 10.85/4.46 10.85/4.46 R is empty. 10.85/4.46 Q is empty. 10.85/4.46 We have to consider all minimal (P,Q,R)-chains. 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (17) QDPSizeChangeProof (EQUIVALENT) 10.85/4.46 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. 10.85/4.46 10.85/4.46 From the DPs we obtained the following set of size-change graphs: 10.85/4.46 *new_primEqNat(Succ(xv3000), Succ(xv4000)) -> new_primEqNat(xv3000, xv4000) 10.85/4.46 The graph contains the following edges 1 > 1, 2 > 2 10.85/4.46 10.85/4.46 10.85/4.46 ---------------------------------------- 10.85/4.46 10.85/4.46 (18) 10.85/4.46 YES 11.13/4.49 EOF