9.19/3.89 YES 10.97/4.35 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.97/4.35 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.97/4.35 10.97/4.35 10.97/4.35 H-Termination with start terms of the given HASKELL could be proven: 10.97/4.35 10.97/4.35 (0) HASKELL 10.97/4.35 (1) BR [EQUIVALENT, 0 ms] 10.97/4.35 (2) HASKELL 10.97/4.35 (3) COR [EQUIVALENT, 0 ms] 10.97/4.35 (4) HASKELL 10.97/4.35 (5) Narrow [SOUND, 0 ms] 10.97/4.35 (6) AND 10.97/4.35 (7) QDP 10.97/4.35 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.97/4.35 (9) YES 10.97/4.35 (10) QDP 10.97/4.35 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.97/4.35 (12) YES 10.97/4.35 (13) QDP 10.97/4.35 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.97/4.35 (15) YES 10.97/4.35 (16) QDP 10.97/4.35 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.97/4.35 (18) YES 10.97/4.35 (19) QDP 10.97/4.35 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.97/4.35 (21) YES 10.97/4.35 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (0) 10.97/4.35 Obligation: 10.97/4.35 mainModule Main 10.97/4.35 module Main where { 10.97/4.35 import qualified Prelude; 10.97/4.35 } 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (1) BR (EQUIVALENT) 10.97/4.35 Replaced joker patterns by fresh variables and removed binding patterns. 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (2) 10.97/4.35 Obligation: 10.97/4.35 mainModule Main 10.97/4.35 module Main where { 10.97/4.35 import qualified Prelude; 10.97/4.35 } 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (3) COR (EQUIVALENT) 10.97/4.35 Cond Reductions: 10.97/4.35 The following Function with conditions 10.97/4.35 "undefined |Falseundefined; 10.97/4.35 " 10.97/4.35 is transformed to 10.97/4.35 "undefined = undefined1; 10.97/4.35 " 10.97/4.35 "undefined0 True = undefined; 10.97/4.35 " 10.97/4.35 "undefined1 = undefined0 False; 10.97/4.35 " 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (4) 10.97/4.35 Obligation: 10.97/4.35 mainModule Main 10.97/4.35 module Main where { 10.97/4.35 import qualified Prelude; 10.97/4.35 } 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (5) Narrow (SOUND) 10.97/4.35 Haskell To QDPs 10.97/4.35 10.97/4.35 digraph dp_graph { 10.97/4.35 node [outthreshold=100, inthreshold=100];1[label="elem",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 10.97/4.35 3[label="elem xv3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 10.97/4.35 4[label="elem xv3 xv4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 10.97/4.35 5[label="any . (==)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 10.97/4.35 6[label="any ((==) xv3) xv4",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 10.97/4.35 7[label="or . map ((==) xv3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 10.97/4.35 8[label="or (map ((==) xv3) xv4)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 10.97/4.35 9[label="foldr (||) False (map ((==) xv3) xv4)",fontsize=16,color="burlywood",shape="triangle"];655[label="xv4/xv40 : xv41",fontsize=10,color="white",style="solid",shape="box"];9 -> 655[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 655 -> 10[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 656[label="xv4/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 656[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 656 -> 11[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 10[label="foldr (||) False (map ((==) xv3) (xv40 : xv41))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 10.97/4.35 11[label="foldr (||) False (map ((==) xv3) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 10.97/4.35 12[label="foldr (||) False (((==) xv3 xv40) : map ((==) xv3) xv41)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 10.97/4.35 13[label="foldr (||) False []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 10.97/4.35 14 -> 31[label="",style="dashed", color="red", weight=0]; 10.97/4.35 14[label="(||) (==) xv3 xv40 foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];14 -> 32[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 14 -> 33[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 15[label="False",fontsize=16,color="green",shape="box"];32[label="(==) xv3 xv40",fontsize=16,color="burlywood",shape="triangle"];657[label="xv3/Nothing",fontsize=10,color="white",style="solid",shape="box"];32 -> 657[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 657 -> 44[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 658[label="xv3/Just xv30",fontsize=10,color="white",style="solid",shape="box"];32 -> 658[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 658 -> 45[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 33 -> 9[label="",style="dashed", color="red", weight=0]; 10.97/4.35 33[label="foldr (||) False (map ((==) xv3) xv41)",fontsize=16,color="magenta"];33 -> 46[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 31[label="(||) xv9 xv10",fontsize=16,color="burlywood",shape="triangle"];659[label="xv9/False",fontsize=10,color="white",style="solid",shape="box"];31 -> 659[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 659 -> 47[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 660[label="xv9/True",fontsize=10,color="white",style="solid",shape="box"];31 -> 660[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 660 -> 48[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 44[label="(==) Nothing xv40",fontsize=16,color="burlywood",shape="box"];661[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];44 -> 661[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 661 -> 49[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 662[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];44 -> 662[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 662 -> 50[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 45[label="(==) Just xv30 xv40",fontsize=16,color="burlywood",shape="box"];663[label="xv40/Nothing",fontsize=10,color="white",style="solid",shape="box"];45 -> 663[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 663 -> 51[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 664[label="xv40/Just xv400",fontsize=10,color="white",style="solid",shape="box"];45 -> 664[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 664 -> 52[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 46[label="xv41",fontsize=16,color="green",shape="box"];47[label="(||) False xv10",fontsize=16,color="black",shape="box"];47 -> 53[label="",style="solid", color="black", weight=3]; 10.97/4.35 48[label="(||) True xv10",fontsize=16,color="black",shape="box"];48 -> 54[label="",style="solid", color="black", weight=3]; 10.97/4.35 49[label="(==) Nothing Nothing",fontsize=16,color="black",shape="box"];49 -> 55[label="",style="solid", color="black", weight=3]; 10.97/4.35 50[label="(==) Nothing Just xv400",fontsize=16,color="black",shape="box"];50 -> 56[label="",style="solid", color="black", weight=3]; 10.97/4.35 51[label="(==) Just xv30 Nothing",fontsize=16,color="black",shape="box"];51 -> 57[label="",style="solid", color="black", weight=3]; 10.97/4.35 52[label="(==) Just xv30 Just xv400",fontsize=16,color="black",shape="box"];52 -> 58[label="",style="solid", color="black", weight=3]; 10.97/4.35 53[label="xv10",fontsize=16,color="green",shape="box"];54[label="True",fontsize=16,color="green",shape="box"];55[label="True",fontsize=16,color="green",shape="box"];56[label="False",fontsize=16,color="green",shape="box"];57[label="False",fontsize=16,color="green",shape="box"];58[label="xv30 == xv400",fontsize=16,color="blue",shape="box"];665[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 665[label="",style="solid", color="blue", weight=9]; 10.97/4.35 665 -> 59[label="",style="solid", color="blue", weight=3]; 10.97/4.35 666[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 666[label="",style="solid", color="blue", weight=9]; 10.97/4.35 666 -> 60[label="",style="solid", color="blue", weight=3]; 10.97/4.35 667[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 667[label="",style="solid", color="blue", weight=9]; 10.97/4.35 667 -> 61[label="",style="solid", color="blue", weight=3]; 10.97/4.35 668[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 668[label="",style="solid", color="blue", weight=9]; 10.97/4.35 668 -> 62[label="",style="solid", color="blue", weight=3]; 10.97/4.35 669[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 669[label="",style="solid", color="blue", weight=9]; 10.97/4.35 669 -> 63[label="",style="solid", color="blue", weight=3]; 10.97/4.35 670[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 670[label="",style="solid", color="blue", weight=9]; 10.97/4.35 670 -> 64[label="",style="solid", color="blue", weight=3]; 10.97/4.35 671[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 671[label="",style="solid", color="blue", weight=9]; 10.97/4.35 671 -> 65[label="",style="solid", color="blue", weight=3]; 10.97/4.35 672[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 672[label="",style="solid", color="blue", weight=9]; 10.97/4.35 672 -> 66[label="",style="solid", color="blue", weight=3]; 10.97/4.35 673[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 673[label="",style="solid", color="blue", weight=9]; 10.97/4.35 673 -> 67[label="",style="solid", color="blue", weight=3]; 10.97/4.35 674[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 674[label="",style="solid", color="blue", weight=9]; 10.97/4.35 674 -> 68[label="",style="solid", color="blue", weight=3]; 10.97/4.35 675[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 675[label="",style="solid", color="blue", weight=9]; 10.97/4.35 675 -> 69[label="",style="solid", color="blue", weight=3]; 10.97/4.35 676[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 676[label="",style="solid", color="blue", weight=9]; 10.97/4.35 676 -> 70[label="",style="solid", color="blue", weight=3]; 10.97/4.35 677[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 677[label="",style="solid", color="blue", weight=9]; 10.97/4.35 677 -> 71[label="",style="solid", color="blue", weight=3]; 10.97/4.35 678[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];58 -> 678[label="",style="solid", color="blue", weight=9]; 10.97/4.35 678 -> 72[label="",style="solid", color="blue", weight=3]; 10.97/4.35 59[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];679[label="xv30/()",fontsize=10,color="white",style="solid",shape="box"];59 -> 679[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 679 -> 73[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 60[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];680[label="xv30/xv300 : xv301",fontsize=10,color="white",style="solid",shape="box"];60 -> 680[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 680 -> 74[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 681[label="xv30/[]",fontsize=10,color="white",style="solid",shape="box"];60 -> 681[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 681 -> 75[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 61[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];61 -> 76[label="",style="solid", color="black", weight=3]; 10.97/4.35 62 -> 32[label="",style="dashed", color="red", weight=0]; 10.97/4.35 62[label="xv30 == xv400",fontsize=16,color="magenta"];62 -> 77[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 62 -> 78[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 63[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];682[label="xv30/Left xv300",fontsize=10,color="white",style="solid",shape="box"];63 -> 682[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 682 -> 79[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 683[label="xv30/Right xv300",fontsize=10,color="white",style="solid",shape="box"];63 -> 683[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 683 -> 80[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 64[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];684[label="xv30/Integer xv300",fontsize=10,color="white",style="solid",shape="box"];64 -> 684[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 684 -> 81[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 65[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];65 -> 82[label="",style="solid", color="black", weight=3]; 10.97/4.35 66[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];685[label="xv30/(xv300,xv301)",fontsize=10,color="white",style="solid",shape="box"];66 -> 685[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 685 -> 83[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 67[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];686[label="xv30/LT",fontsize=10,color="white",style="solid",shape="box"];67 -> 686[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 686 -> 84[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 687[label="xv30/EQ",fontsize=10,color="white",style="solid",shape="box"];67 -> 687[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 687 -> 85[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 688[label="xv30/GT",fontsize=10,color="white",style="solid",shape="box"];67 -> 688[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 688 -> 86[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 68[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];689[label="xv30/(xv300,xv301,xv302)",fontsize=10,color="white",style="solid",shape="box"];68 -> 689[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 689 -> 87[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 69[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];69 -> 88[label="",style="solid", color="black", weight=3]; 10.97/4.35 70[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];690[label="xv30/xv300 :% xv301",fontsize=10,color="white",style="solid",shape="box"];70 -> 690[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 690 -> 89[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 71[label="xv30 == xv400",fontsize=16,color="burlywood",shape="triangle"];691[label="xv30/False",fontsize=10,color="white",style="solid",shape="box"];71 -> 691[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 691 -> 90[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 692[label="xv30/True",fontsize=10,color="white",style="solid",shape="box"];71 -> 692[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 692 -> 91[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 72[label="xv30 == xv400",fontsize=16,color="black",shape="triangle"];72 -> 92[label="",style="solid", color="black", weight=3]; 10.97/4.35 73[label="() == xv400",fontsize=16,color="burlywood",shape="box"];693[label="xv400/()",fontsize=10,color="white",style="solid",shape="box"];73 -> 693[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 693 -> 93[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 74[label="xv300 : xv301 == xv400",fontsize=16,color="burlywood",shape="box"];694[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];74 -> 694[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 694 -> 94[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 695[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];74 -> 695[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 695 -> 95[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 75[label="[] == xv400",fontsize=16,color="burlywood",shape="box"];696[label="xv400/xv4000 : xv4001",fontsize=10,color="white",style="solid",shape="box"];75 -> 696[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 696 -> 96[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 697[label="xv400/[]",fontsize=10,color="white",style="solid",shape="box"];75 -> 697[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 697 -> 97[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 76[label="primEqFloat xv30 xv400",fontsize=16,color="burlywood",shape="box"];698[label="xv30/Float xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];76 -> 698[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 698 -> 98[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 77[label="xv400",fontsize=16,color="green",shape="box"];78[label="xv30",fontsize=16,color="green",shape="box"];79[label="Left xv300 == xv400",fontsize=16,color="burlywood",shape="box"];699[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 699[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 699 -> 99[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 700[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 700[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 700 -> 100[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 80[label="Right xv300 == xv400",fontsize=16,color="burlywood",shape="box"];701[label="xv400/Left xv4000",fontsize=10,color="white",style="solid",shape="box"];80 -> 701[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 701 -> 101[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 702[label="xv400/Right xv4000",fontsize=10,color="white",style="solid",shape="box"];80 -> 702[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 702 -> 102[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 81[label="Integer xv300 == xv400",fontsize=16,color="burlywood",shape="box"];703[label="xv400/Integer xv4000",fontsize=10,color="white",style="solid",shape="box"];81 -> 703[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 703 -> 103[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 82[label="primEqDouble xv30 xv400",fontsize=16,color="burlywood",shape="box"];704[label="xv30/Double xv300 xv301",fontsize=10,color="white",style="solid",shape="box"];82 -> 704[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 704 -> 104[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 83[label="(xv300,xv301) == xv400",fontsize=16,color="burlywood",shape="box"];705[label="xv400/(xv4000,xv4001)",fontsize=10,color="white",style="solid",shape="box"];83 -> 705[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 705 -> 105[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 84[label="LT == xv400",fontsize=16,color="burlywood",shape="box"];706[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];84 -> 706[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 706 -> 106[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 707[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];84 -> 707[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 707 -> 107[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 708[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];84 -> 708[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 708 -> 108[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 85[label="EQ == xv400",fontsize=16,color="burlywood",shape="box"];709[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];85 -> 709[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 709 -> 109[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 710[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];85 -> 710[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 710 -> 110[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 711[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];85 -> 711[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 711 -> 111[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 86[label="GT == xv400",fontsize=16,color="burlywood",shape="box"];712[label="xv400/LT",fontsize=10,color="white",style="solid",shape="box"];86 -> 712[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 712 -> 112[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 713[label="xv400/EQ",fontsize=10,color="white",style="solid",shape="box"];86 -> 713[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 713 -> 113[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 714[label="xv400/GT",fontsize=10,color="white",style="solid",shape="box"];86 -> 714[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 714 -> 114[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 87[label="(xv300,xv301,xv302) == xv400",fontsize=16,color="burlywood",shape="box"];715[label="xv400/(xv4000,xv4001,xv4002)",fontsize=10,color="white",style="solid",shape="box"];87 -> 715[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 715 -> 115[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 88[label="primEqChar xv30 xv400",fontsize=16,color="burlywood",shape="box"];716[label="xv30/Char xv300",fontsize=10,color="white",style="solid",shape="box"];88 -> 716[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 716 -> 116[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 89[label="xv300 :% xv301 == xv400",fontsize=16,color="burlywood",shape="box"];717[label="xv400/xv4000 :% xv4001",fontsize=10,color="white",style="solid",shape="box"];89 -> 717[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 717 -> 117[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 90[label="False == xv400",fontsize=16,color="burlywood",shape="box"];718[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];90 -> 718[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 718 -> 118[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 719[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];90 -> 719[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 719 -> 119[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 91[label="True == xv400",fontsize=16,color="burlywood",shape="box"];720[label="xv400/False",fontsize=10,color="white",style="solid",shape="box"];91 -> 720[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 720 -> 120[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 721[label="xv400/True",fontsize=10,color="white",style="solid",shape="box"];91 -> 721[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 721 -> 121[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 92[label="primEqInt xv30 xv400",fontsize=16,color="burlywood",shape="triangle"];722[label="xv30/Pos xv300",fontsize=10,color="white",style="solid",shape="box"];92 -> 722[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 722 -> 122[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 723[label="xv30/Neg xv300",fontsize=10,color="white",style="solid",shape="box"];92 -> 723[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 723 -> 123[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 93[label="() == ()",fontsize=16,color="black",shape="box"];93 -> 124[label="",style="solid", color="black", weight=3]; 10.97/4.35 94[label="xv300 : xv301 == xv4000 : xv4001",fontsize=16,color="black",shape="box"];94 -> 125[label="",style="solid", color="black", weight=3]; 10.97/4.35 95[label="xv300 : xv301 == []",fontsize=16,color="black",shape="box"];95 -> 126[label="",style="solid", color="black", weight=3]; 10.97/4.35 96[label="[] == xv4000 : xv4001",fontsize=16,color="black",shape="box"];96 -> 127[label="",style="solid", color="black", weight=3]; 10.97/4.35 97[label="[] == []",fontsize=16,color="black",shape="box"];97 -> 128[label="",style="solid", color="black", weight=3]; 10.97/4.35 98[label="primEqFloat (Float xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];724[label="xv400/Float xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];98 -> 724[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 724 -> 129[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 99[label="Left xv300 == Left xv4000",fontsize=16,color="black",shape="box"];99 -> 130[label="",style="solid", color="black", weight=3]; 10.97/4.35 100[label="Left xv300 == Right xv4000",fontsize=16,color="black",shape="box"];100 -> 131[label="",style="solid", color="black", weight=3]; 10.97/4.35 101[label="Right xv300 == Left xv4000",fontsize=16,color="black",shape="box"];101 -> 132[label="",style="solid", color="black", weight=3]; 10.97/4.35 102[label="Right xv300 == Right xv4000",fontsize=16,color="black",shape="box"];102 -> 133[label="",style="solid", color="black", weight=3]; 10.97/4.35 103[label="Integer xv300 == Integer xv4000",fontsize=16,color="black",shape="box"];103 -> 134[label="",style="solid", color="black", weight=3]; 10.97/4.35 104[label="primEqDouble (Double xv300 xv301) xv400",fontsize=16,color="burlywood",shape="box"];725[label="xv400/Double xv4000 xv4001",fontsize=10,color="white",style="solid",shape="box"];104 -> 725[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 725 -> 135[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 105[label="(xv300,xv301) == (xv4000,xv4001)",fontsize=16,color="black",shape="box"];105 -> 136[label="",style="solid", color="black", weight=3]; 10.97/4.35 106[label="LT == LT",fontsize=16,color="black",shape="box"];106 -> 137[label="",style="solid", color="black", weight=3]; 10.97/4.35 107[label="LT == EQ",fontsize=16,color="black",shape="box"];107 -> 138[label="",style="solid", color="black", weight=3]; 10.97/4.35 108[label="LT == GT",fontsize=16,color="black",shape="box"];108 -> 139[label="",style="solid", color="black", weight=3]; 10.97/4.35 109[label="EQ == LT",fontsize=16,color="black",shape="box"];109 -> 140[label="",style="solid", color="black", weight=3]; 10.97/4.35 110[label="EQ == EQ",fontsize=16,color="black",shape="box"];110 -> 141[label="",style="solid", color="black", weight=3]; 10.97/4.35 111[label="EQ == GT",fontsize=16,color="black",shape="box"];111 -> 142[label="",style="solid", color="black", weight=3]; 10.97/4.35 112[label="GT == LT",fontsize=16,color="black",shape="box"];112 -> 143[label="",style="solid", color="black", weight=3]; 10.97/4.35 113[label="GT == EQ",fontsize=16,color="black",shape="box"];113 -> 144[label="",style="solid", color="black", weight=3]; 10.97/4.35 114[label="GT == GT",fontsize=16,color="black",shape="box"];114 -> 145[label="",style="solid", color="black", weight=3]; 10.97/4.35 115[label="(xv300,xv301,xv302) == (xv4000,xv4001,xv4002)",fontsize=16,color="black",shape="box"];115 -> 146[label="",style="solid", color="black", weight=3]; 10.97/4.35 116[label="primEqChar (Char xv300) xv400",fontsize=16,color="burlywood",shape="box"];726[label="xv400/Char xv4000",fontsize=10,color="white",style="solid",shape="box"];116 -> 726[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 726 -> 147[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 117[label="xv300 :% xv301 == xv4000 :% xv4001",fontsize=16,color="black",shape="box"];117 -> 148[label="",style="solid", color="black", weight=3]; 10.97/4.35 118[label="False == False",fontsize=16,color="black",shape="box"];118 -> 149[label="",style="solid", color="black", weight=3]; 10.97/4.35 119[label="False == True",fontsize=16,color="black",shape="box"];119 -> 150[label="",style="solid", color="black", weight=3]; 10.97/4.35 120[label="True == False",fontsize=16,color="black",shape="box"];120 -> 151[label="",style="solid", color="black", weight=3]; 10.97/4.35 121[label="True == True",fontsize=16,color="black",shape="box"];121 -> 152[label="",style="solid", color="black", weight=3]; 10.97/4.35 122[label="primEqInt (Pos xv300) xv400",fontsize=16,color="burlywood",shape="box"];727[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];122 -> 727[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 727 -> 153[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 728[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];122 -> 728[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 728 -> 154[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 123[label="primEqInt (Neg xv300) xv400",fontsize=16,color="burlywood",shape="box"];729[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];123 -> 729[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 729 -> 155[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 730[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];123 -> 730[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 730 -> 156[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 124[label="True",fontsize=16,color="green",shape="box"];125 -> 211[label="",style="dashed", color="red", weight=0]; 10.97/4.35 125[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];125 -> 212[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 125 -> 213[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 126[label="False",fontsize=16,color="green",shape="box"];127[label="False",fontsize=16,color="green",shape="box"];128[label="True",fontsize=16,color="green",shape="box"];129[label="primEqFloat (Float xv300 xv301) (Float xv4000 xv4001)",fontsize=16,color="black",shape="box"];129 -> 168[label="",style="solid", color="black", weight=3]; 10.97/4.35 130[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];731[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 731[label="",style="solid", color="blue", weight=9]; 10.97/4.35 731 -> 169[label="",style="solid", color="blue", weight=3]; 10.97/4.35 732[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 732[label="",style="solid", color="blue", weight=9]; 10.97/4.35 732 -> 170[label="",style="solid", color="blue", weight=3]; 10.97/4.35 733[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 733[label="",style="solid", color="blue", weight=9]; 10.97/4.35 733 -> 171[label="",style="solid", color="blue", weight=3]; 10.97/4.35 734[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 734[label="",style="solid", color="blue", weight=9]; 10.97/4.35 734 -> 172[label="",style="solid", color="blue", weight=3]; 10.97/4.35 735[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 735[label="",style="solid", color="blue", weight=9]; 10.97/4.35 735 -> 173[label="",style="solid", color="blue", weight=3]; 10.97/4.35 736[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 736[label="",style="solid", color="blue", weight=9]; 10.97/4.35 736 -> 174[label="",style="solid", color="blue", weight=3]; 10.97/4.35 737[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 737[label="",style="solid", color="blue", weight=9]; 10.97/4.35 737 -> 175[label="",style="solid", color="blue", weight=3]; 10.97/4.35 738[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 738[label="",style="solid", color="blue", weight=9]; 10.97/4.35 738 -> 176[label="",style="solid", color="blue", weight=3]; 10.97/4.35 739[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 739[label="",style="solid", color="blue", weight=9]; 10.97/4.35 739 -> 177[label="",style="solid", color="blue", weight=3]; 10.97/4.35 740[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 740[label="",style="solid", color="blue", weight=9]; 10.97/4.35 740 -> 178[label="",style="solid", color="blue", weight=3]; 10.97/4.35 741[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 741[label="",style="solid", color="blue", weight=9]; 10.97/4.35 741 -> 179[label="",style="solid", color="blue", weight=3]; 10.97/4.35 742[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 742[label="",style="solid", color="blue", weight=9]; 10.97/4.35 742 -> 180[label="",style="solid", color="blue", weight=3]; 10.97/4.35 743[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 743[label="",style="solid", color="blue", weight=9]; 10.97/4.35 743 -> 181[label="",style="solid", color="blue", weight=3]; 10.97/4.35 744[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];130 -> 744[label="",style="solid", color="blue", weight=9]; 10.97/4.35 744 -> 182[label="",style="solid", color="blue", weight=3]; 10.97/4.35 131[label="False",fontsize=16,color="green",shape="box"];132[label="False",fontsize=16,color="green",shape="box"];133[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];745[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 745[label="",style="solid", color="blue", weight=9]; 10.97/4.35 745 -> 183[label="",style="solid", color="blue", weight=3]; 10.97/4.35 746[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 746[label="",style="solid", color="blue", weight=9]; 10.97/4.35 746 -> 184[label="",style="solid", color="blue", weight=3]; 10.97/4.35 747[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 747[label="",style="solid", color="blue", weight=9]; 10.97/4.35 747 -> 185[label="",style="solid", color="blue", weight=3]; 10.97/4.35 748[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 748[label="",style="solid", color="blue", weight=9]; 10.97/4.35 748 -> 186[label="",style="solid", color="blue", weight=3]; 10.97/4.35 749[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 749[label="",style="solid", color="blue", weight=9]; 10.97/4.35 749 -> 187[label="",style="solid", color="blue", weight=3]; 10.97/4.35 750[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 750[label="",style="solid", color="blue", weight=9]; 10.97/4.35 750 -> 188[label="",style="solid", color="blue", weight=3]; 10.97/4.35 751[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 751[label="",style="solid", color="blue", weight=9]; 10.97/4.35 751 -> 189[label="",style="solid", color="blue", weight=3]; 10.97/4.35 752[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 752[label="",style="solid", color="blue", weight=9]; 10.97/4.35 752 -> 190[label="",style="solid", color="blue", weight=3]; 10.97/4.35 753[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 753[label="",style="solid", color="blue", weight=9]; 10.97/4.35 753 -> 191[label="",style="solid", color="blue", weight=3]; 10.97/4.35 754[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 754[label="",style="solid", color="blue", weight=9]; 10.97/4.35 754 -> 192[label="",style="solid", color="blue", weight=3]; 10.97/4.35 755[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 755[label="",style="solid", color="blue", weight=9]; 10.97/4.35 755 -> 193[label="",style="solid", color="blue", weight=3]; 10.97/4.35 756[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 756[label="",style="solid", color="blue", weight=9]; 10.97/4.35 756 -> 194[label="",style="solid", color="blue", weight=3]; 10.97/4.35 757[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 757[label="",style="solid", color="blue", weight=9]; 10.97/4.35 757 -> 195[label="",style="solid", color="blue", weight=3]; 10.97/4.35 758[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];133 -> 758[label="",style="solid", color="blue", weight=9]; 10.97/4.35 758 -> 196[label="",style="solid", color="blue", weight=3]; 10.97/4.35 134 -> 92[label="",style="dashed", color="red", weight=0]; 10.97/4.35 134[label="primEqInt xv300 xv4000",fontsize=16,color="magenta"];134 -> 197[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 134 -> 198[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 135[label="primEqDouble (Double xv300 xv301) (Double xv4000 xv4001)",fontsize=16,color="black",shape="box"];135 -> 199[label="",style="solid", color="black", weight=3]; 10.97/4.35 136 -> 211[label="",style="dashed", color="red", weight=0]; 10.97/4.35 136[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];136 -> 214[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 136 -> 215[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 137[label="True",fontsize=16,color="green",shape="box"];138[label="False",fontsize=16,color="green",shape="box"];139[label="False",fontsize=16,color="green",shape="box"];140[label="False",fontsize=16,color="green",shape="box"];141[label="True",fontsize=16,color="green",shape="box"];142[label="False",fontsize=16,color="green",shape="box"];143[label="False",fontsize=16,color="green",shape="box"];144[label="False",fontsize=16,color="green",shape="box"];145[label="True",fontsize=16,color="green",shape="box"];146 -> 211[label="",style="dashed", color="red", weight=0]; 10.97/4.35 146[label="xv300 == xv4000 && xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];146 -> 216[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 146 -> 217[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 147[label="primEqChar (Char xv300) (Char xv4000)",fontsize=16,color="black",shape="box"];147 -> 200[label="",style="solid", color="black", weight=3]; 10.97/4.35 148 -> 211[label="",style="dashed", color="red", weight=0]; 10.97/4.35 148[label="xv300 == xv4000 && xv301 == xv4001",fontsize=16,color="magenta"];148 -> 218[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 148 -> 219[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 149[label="True",fontsize=16,color="green",shape="box"];150[label="False",fontsize=16,color="green",shape="box"];151[label="False",fontsize=16,color="green",shape="box"];152[label="True",fontsize=16,color="green",shape="box"];153[label="primEqInt (Pos (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];759[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];153 -> 759[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 759 -> 201[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 760[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];153 -> 760[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 760 -> 202[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 154[label="primEqInt (Pos Zero) xv400",fontsize=16,color="burlywood",shape="box"];761[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];154 -> 761[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 761 -> 203[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 762[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];154 -> 762[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 762 -> 204[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 155[label="primEqInt (Neg (Succ xv3000)) xv400",fontsize=16,color="burlywood",shape="box"];763[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];155 -> 763[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 763 -> 205[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 764[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];155 -> 764[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 764 -> 206[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 156[label="primEqInt (Neg Zero) xv400",fontsize=16,color="burlywood",shape="box"];765[label="xv400/Pos xv4000",fontsize=10,color="white",style="solid",shape="box"];156 -> 765[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 765 -> 207[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 766[label="xv400/Neg xv4000",fontsize=10,color="white",style="solid",shape="box"];156 -> 766[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 766 -> 208[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 212 -> 60[label="",style="dashed", color="red", weight=0]; 10.97/4.35 212[label="xv301 == xv4001",fontsize=16,color="magenta"];212 -> 224[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 212 -> 225[label="",style="dashed", 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229[label="",style="solid", color="blue", weight=3]; 10.97/4.35 771[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 771[label="",style="solid", color="blue", weight=9]; 10.97/4.35 771 -> 230[label="",style="solid", color="blue", weight=3]; 10.97/4.35 772[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 772[label="",style="solid", color="blue", weight=9]; 10.97/4.35 772 -> 231[label="",style="solid", color="blue", weight=3]; 10.97/4.35 773[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 773[label="",style="solid", color="blue", weight=9]; 10.97/4.35 773 -> 232[label="",style="solid", color="blue", weight=3]; 10.97/4.35 774[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 774[label="",style="solid", color="blue", weight=9]; 10.97/4.35 774 -> 233[label="",style="solid", color="blue", weight=3]; 10.97/4.35 775[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 775[label="",style="solid", color="blue", weight=9]; 10.97/4.35 775 -> 234[label="",style="solid", color="blue", weight=3]; 10.97/4.35 776[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 776[label="",style="solid", color="blue", weight=9]; 10.97/4.35 776 -> 235[label="",style="solid", color="blue", weight=3]; 10.97/4.35 777[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 777[label="",style="solid", color="blue", weight=9]; 10.97/4.35 777 -> 236[label="",style="solid", color="blue", weight=3]; 10.97/4.35 778[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 778[label="",style="solid", color="blue", weight=9]; 10.97/4.35 778 -> 237[label="",style="solid", color="blue", weight=3]; 10.97/4.35 779[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 779[label="",style="solid", color="blue", weight=9]; 10.97/4.35 779 -> 238[label="",style="solid", color="blue", weight=3]; 10.97/4.35 780[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];213 -> 780[label="",style="solid", color="blue", weight=9]; 10.97/4.35 780 -> 239[label="",style="solid", color="blue", weight=3]; 10.97/4.35 211[label="xv15 && xv16",fontsize=16,color="burlywood",shape="triangle"];781[label="xv15/False",fontsize=10,color="white",style="solid",shape="box"];211 -> 781[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 781 -> 240[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 782[label="xv15/True",fontsize=10,color="white",style="solid",shape="box"];211 -> 782[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 782 -> 241[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 168 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 168[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];168 -> 242[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 168 -> 243[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 169 -> 59[label="",style="dashed", color="red", weight=0]; 10.97/4.35 169[label="xv300 == xv4000",fontsize=16,color="magenta"];169 -> 244[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 169 -> 245[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 170 -> 60[label="",style="dashed", color="red", weight=0]; 10.97/4.35 170[label="xv300 == xv4000",fontsize=16,color="magenta"];170 -> 246[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 170 -> 247[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 171 -> 61[label="",style="dashed", color="red", weight=0]; 10.97/4.35 171[label="xv300 == 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weight=3]; 10.97/4.35 175 -> 65[label="",style="dashed", color="red", weight=0]; 10.97/4.35 175[label="xv300 == xv4000",fontsize=16,color="magenta"];175 -> 256[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 175 -> 257[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 176 -> 66[label="",style="dashed", color="red", weight=0]; 10.97/4.35 176[label="xv300 == xv4000",fontsize=16,color="magenta"];176 -> 258[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 176 -> 259[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 177 -> 67[label="",style="dashed", color="red", weight=0]; 10.97/4.35 177[label="xv300 == xv4000",fontsize=16,color="magenta"];177 -> 260[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 177 -> 261[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 178 -> 68[label="",style="dashed", color="red", weight=0]; 10.97/4.35 178[label="xv300 == xv4000",fontsize=16,color="magenta"];178 -> 262[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 178 -> 263[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 179 -> 69[label="",style="dashed", color="red", weight=0]; 10.97/4.35 179[label="xv300 == xv4000",fontsize=16,color="magenta"];179 -> 264[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 179 -> 265[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 180 -> 70[label="",style="dashed", color="red", weight=0]; 10.97/4.35 180[label="xv300 == xv4000",fontsize=16,color="magenta"];180 -> 266[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 180 -> 267[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 181 -> 71[label="",style="dashed", color="red", weight=0]; 10.97/4.35 181[label="xv300 == xv4000",fontsize=16,color="magenta"];181 -> 268[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 181 -> 269[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 182 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 182[label="xv300 == xv4000",fontsize=16,color="magenta"];182 -> 270[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 182 -> 271[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 183 -> 59[label="",style="dashed", color="red", weight=0]; 10.97/4.35 183[label="xv300 == xv4000",fontsize=16,color="magenta"];183 -> 272[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 183 -> 273[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 184 -> 60[label="",style="dashed", color="red", weight=0]; 10.97/4.35 184[label="xv300 == xv4000",fontsize=16,color="magenta"];184 -> 274[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 184 -> 275[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 185 -> 61[label="",style="dashed", color="red", weight=0]; 10.97/4.35 185[label="xv300 == xv4000",fontsize=16,color="magenta"];185 -> 276[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 185 -> 277[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 186 -> 32[label="",style="dashed", color="red", weight=0]; 10.97/4.35 186[label="xv300 == xv4000",fontsize=16,color="magenta"];186 -> 278[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 186 -> 279[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 187 -> 63[label="",style="dashed", color="red", weight=0]; 10.97/4.35 187[label="xv300 == xv4000",fontsize=16,color="magenta"];187 -> 280[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 187 -> 281[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 188 -> 64[label="",style="dashed", color="red", weight=0]; 10.97/4.35 188[label="xv300 == xv4000",fontsize=16,color="magenta"];188 -> 282[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 188 -> 283[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 189 -> 65[label="",style="dashed", color="red", weight=0]; 10.97/4.35 189[label="xv300 == xv4000",fontsize=16,color="magenta"];189 -> 284[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 189 -> 285[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 190 -> 66[label="",style="dashed", color="red", weight=0]; 10.97/4.35 190[label="xv300 == xv4000",fontsize=16,color="magenta"];190 -> 286[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 190 -> 287[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 191 -> 67[label="",style="dashed", color="red", weight=0]; 10.97/4.35 191[label="xv300 == xv4000",fontsize=16,color="magenta"];191 -> 288[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 191 -> 289[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 192 -> 68[label="",style="dashed", color="red", weight=0]; 10.97/4.35 192[label="xv300 == xv4000",fontsize=16,color="magenta"];192 -> 290[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 192 -> 291[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 193 -> 69[label="",style="dashed", color="red", weight=0]; 10.97/4.35 193[label="xv300 == xv4000",fontsize=16,color="magenta"];193 -> 292[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 193 -> 293[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 194 -> 70[label="",style="dashed", color="red", weight=0]; 10.97/4.35 194[label="xv300 == xv4000",fontsize=16,color="magenta"];194 -> 294[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 194 -> 295[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 195 -> 71[label="",style="dashed", color="red", weight=0]; 10.97/4.35 195[label="xv300 == xv4000",fontsize=16,color="magenta"];195 -> 296[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 195 -> 297[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 196 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 196[label="xv300 == xv4000",fontsize=16,color="magenta"];196 -> 298[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 196 -> 299[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 197[label="xv300",fontsize=16,color="green",shape="box"];198[label="xv4000",fontsize=16,color="green",shape="box"];199 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 199[label="xv300 * xv4001 == xv301 * xv4000",fontsize=16,color="magenta"];199 -> 300[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 199 -> 301[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 214[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];783[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 783[label="",style="solid", color="blue", weight=9]; 10.97/4.35 783 -> 302[label="",style="solid", color="blue", weight=3]; 10.97/4.35 784[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 784[label="",style="solid", color="blue", weight=9]; 10.97/4.35 784 -> 303[label="",style="solid", color="blue", weight=3]; 10.97/4.35 785[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 785[label="",style="solid", color="blue", weight=9]; 10.97/4.35 785 -> 304[label="",style="solid", color="blue", weight=3]; 10.97/4.35 786[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 786[label="",style="solid", color="blue", weight=9]; 10.97/4.35 786 -> 305[label="",style="solid", color="blue", weight=3]; 10.97/4.35 787[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 787[label="",style="solid", color="blue", weight=9]; 10.97/4.35 787 -> 306[label="",style="solid", color="blue", weight=3]; 10.97/4.35 788[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 788[label="",style="solid", color="blue", weight=9]; 10.97/4.35 788 -> 307[label="",style="solid", color="blue", weight=3]; 10.97/4.35 789[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 789[label="",style="solid", color="blue", weight=9]; 10.97/4.35 789 -> 308[label="",style="solid", color="blue", weight=3]; 10.97/4.35 790[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 790[label="",style="solid", color="blue", weight=9]; 10.97/4.35 790 -> 309[label="",style="solid", color="blue", weight=3]; 10.97/4.35 791[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 791[label="",style="solid", color="blue", weight=9]; 10.97/4.35 791 -> 310[label="",style="solid", color="blue", weight=3]; 10.97/4.35 792[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 792[label="",style="solid", color="blue", weight=9]; 10.97/4.35 792 -> 311[label="",style="solid", color="blue", weight=3]; 10.97/4.35 793[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 793[label="",style="solid", color="blue", weight=9]; 10.97/4.35 793 -> 312[label="",style="solid", color="blue", weight=3]; 10.97/4.35 794[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 794[label="",style="solid", color="blue", weight=9]; 10.97/4.35 794 -> 313[label="",style="solid", color="blue", weight=3]; 10.97/4.35 795[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 795[label="",style="solid", color="blue", weight=9]; 10.97/4.35 795 -> 314[label="",style="solid", color="blue", weight=3]; 10.97/4.35 796[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];214 -> 796[label="",style="solid", color="blue", weight=9]; 10.97/4.35 796 -> 315[label="",style="solid", color="blue", weight=3]; 10.97/4.35 215[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];797[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 797[label="",style="solid", color="blue", weight=9]; 10.97/4.35 797 -> 316[label="",style="solid", color="blue", weight=3]; 10.97/4.35 798[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 798[label="",style="solid", color="blue", weight=9]; 10.97/4.35 798 -> 317[label="",style="solid", color="blue", weight=3]; 10.97/4.35 799[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 799[label="",style="solid", color="blue", weight=9]; 10.97/4.35 799 -> 318[label="",style="solid", color="blue", weight=3]; 10.97/4.35 800[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 800[label="",style="solid", color="blue", weight=9]; 10.97/4.35 800 -> 319[label="",style="solid", color="blue", weight=3]; 10.97/4.35 801[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 801[label="",style="solid", color="blue", weight=9]; 10.97/4.35 801 -> 320[label="",style="solid", color="blue", weight=3]; 10.97/4.35 802[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 802[label="",style="solid", color="blue", weight=9]; 10.97/4.35 802 -> 321[label="",style="solid", color="blue", weight=3]; 10.97/4.35 803[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 803[label="",style="solid", color="blue", weight=9]; 10.97/4.35 803 -> 322[label="",style="solid", color="blue", weight=3]; 10.97/4.35 804[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 804[label="",style="solid", color="blue", weight=9]; 10.97/4.35 804 -> 323[label="",style="solid", color="blue", weight=3]; 10.97/4.35 805[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 805[label="",style="solid", color="blue", weight=9]; 10.97/4.35 805 -> 324[label="",style="solid", color="blue", weight=3]; 10.97/4.35 806[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 806[label="",style="solid", color="blue", weight=9]; 10.97/4.35 806 -> 325[label="",style="solid", color="blue", weight=3]; 10.97/4.35 807[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 807[label="",style="solid", color="blue", weight=9]; 10.97/4.35 807 -> 326[label="",style="solid", color="blue", weight=3]; 10.97/4.35 808[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 808[label="",style="solid", color="blue", weight=9]; 10.97/4.35 808 -> 327[label="",style="solid", color="blue", weight=3]; 10.97/4.35 809[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 809[label="",style="solid", color="blue", weight=9]; 10.97/4.35 809 -> 328[label="",style="solid", color="blue", weight=3]; 10.97/4.35 810[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];215 -> 810[label="",style="solid", color="blue", weight=9]; 10.97/4.35 810 -> 329[label="",style="solid", color="blue", weight=3]; 10.97/4.35 216 -> 211[label="",style="dashed", color="red", weight=0]; 10.97/4.35 216[label="xv301 == xv4001 && xv302 == xv4002",fontsize=16,color="magenta"];216 -> 330[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 216 -> 331[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 217[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];811[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 811[label="",style="solid", color="blue", weight=9]; 10.97/4.35 811 -> 332[label="",style="solid", color="blue", weight=3]; 10.97/4.35 812[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 812[label="",style="solid", color="blue", weight=9]; 10.97/4.35 812 -> 333[label="",style="solid", color="blue", weight=3]; 10.97/4.35 813[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 813[label="",style="solid", color="blue", weight=9]; 10.97/4.35 813 -> 334[label="",style="solid", color="blue", weight=3]; 10.97/4.35 814[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 814[label="",style="solid", color="blue", weight=9]; 10.97/4.35 814 -> 335[label="",style="solid", color="blue", weight=3]; 10.97/4.35 815[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 815[label="",style="solid", color="blue", weight=9]; 10.97/4.35 815 -> 336[label="",style="solid", color="blue", weight=3]; 10.97/4.35 816[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 816[label="",style="solid", color="blue", weight=9]; 10.97/4.35 816 -> 337[label="",style="solid", color="blue", weight=3]; 10.97/4.35 817[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 817[label="",style="solid", color="blue", weight=9]; 10.97/4.35 817 -> 338[label="",style="solid", color="blue", weight=3]; 10.97/4.35 818[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 818[label="",style="solid", color="blue", weight=9]; 10.97/4.35 818 -> 339[label="",style="solid", color="blue", weight=3]; 10.97/4.35 819[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 819[label="",style="solid", color="blue", weight=9]; 10.97/4.35 819 -> 340[label="",style="solid", color="blue", weight=3]; 10.97/4.35 820[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 820[label="",style="solid", color="blue", weight=9]; 10.97/4.35 820 -> 341[label="",style="solid", color="blue", weight=3]; 10.97/4.35 821[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 821[label="",style="solid", color="blue", weight=9]; 10.97/4.35 821 -> 342[label="",style="solid", color="blue", weight=3]; 10.97/4.35 822[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 822[label="",style="solid", color="blue", weight=9]; 10.97/4.35 822 -> 343[label="",style="solid", color="blue", weight=3]; 10.97/4.35 823[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 823[label="",style="solid", color="blue", weight=9]; 10.97/4.35 823 -> 344[label="",style="solid", color="blue", weight=3]; 10.97/4.35 824[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];217 -> 824[label="",style="solid", color="blue", weight=9]; 10.97/4.35 824 -> 345[label="",style="solid", color="blue", weight=3]; 10.97/4.35 200[label="primEqNat xv300 xv4000",fontsize=16,color="burlywood",shape="triangle"];825[label="xv300/Succ xv3000",fontsize=10,color="white",style="solid",shape="box"];200 -> 825[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 825 -> 346[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 826[label="xv300/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 826[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 826 -> 347[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 218[label="xv301 == xv4001",fontsize=16,color="blue",shape="box"];827[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 827[label="",style="solid", color="blue", weight=9]; 10.97/4.35 827 -> 348[label="",style="solid", color="blue", weight=3]; 10.97/4.35 828[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];218 -> 828[label="",style="solid", color="blue", weight=9]; 10.97/4.35 828 -> 349[label="",style="solid", color="blue", weight=3]; 10.97/4.35 219[label="xv300 == xv4000",fontsize=16,color="blue",shape="box"];829[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 829[label="",style="solid", color="blue", weight=9]; 10.97/4.35 829 -> 350[label="",style="solid", color="blue", weight=3]; 10.97/4.35 830[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];219 -> 830[label="",style="solid", color="blue", weight=9]; 10.97/4.35 830 -> 351[label="",style="solid", color="blue", weight=3]; 10.97/4.35 201[label="primEqInt (Pos (Succ xv3000)) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];831[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];201 -> 831[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 831 -> 352[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 832[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];201 -> 832[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 832 -> 353[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 202[label="primEqInt (Pos (Succ xv3000)) (Neg xv4000)",fontsize=16,color="black",shape="box"];202 -> 354[label="",style="solid", color="black", weight=3]; 10.97/4.35 203[label="primEqInt (Pos Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];833[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];203 -> 833[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 833 -> 355[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 834[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];203 -> 834[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 834 -> 356[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 204[label="primEqInt (Pos Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];835[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];204 -> 835[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 835 -> 357[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 836[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];204 -> 836[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 836 -> 358[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 205[label="primEqInt (Neg (Succ xv3000)) (Pos xv4000)",fontsize=16,color="black",shape="box"];205 -> 359[label="",style="solid", color="black", weight=3]; 10.97/4.35 206[label="primEqInt (Neg (Succ xv3000)) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];837[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];206 -> 837[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 837 -> 360[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 838[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 838[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 838 -> 361[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 207[label="primEqInt (Neg Zero) (Pos xv4000)",fontsize=16,color="burlywood",shape="box"];839[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];207 -> 839[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 839 -> 362[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 840[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];207 -> 840[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 840 -> 363[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 208[label="primEqInt (Neg Zero) (Neg xv4000)",fontsize=16,color="burlywood",shape="box"];841[label="xv4000/Succ xv40000",fontsize=10,color="white",style="solid",shape="box"];208 -> 841[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 841 -> 364[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 842[label="xv4000/Zero",fontsize=10,color="white",style="solid",shape="box"];208 -> 842[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 842 -> 365[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 224[label="xv301",fontsize=16,color="green",shape="box"];225[label="xv4001",fontsize=16,color="green",shape="box"];226 -> 59[label="",style="dashed", color="red", weight=0]; 10.97/4.35 226[label="xv300 == xv4000",fontsize=16,color="magenta"];226 -> 366[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 226 -> 367[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 227 -> 60[label="",style="dashed", color="red", weight=0]; 10.97/4.35 227[label="xv300 == xv4000",fontsize=16,color="magenta"];227 -> 368[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 227 -> 369[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 228 -> 61[label="",style="dashed", color="red", weight=0]; 10.97/4.35 228[label="xv300 == xv4000",fontsize=16,color="magenta"];228 -> 370[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 228 -> 371[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 229 -> 32[label="",style="dashed", color="red", weight=0]; 10.97/4.35 229[label="xv300 == xv4000",fontsize=16,color="magenta"];229 -> 372[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 229 -> 373[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 230 -> 63[label="",style="dashed", color="red", weight=0]; 10.97/4.35 230[label="xv300 == xv4000",fontsize=16,color="magenta"];230 -> 374[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 230 -> 375[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 231 -> 64[label="",style="dashed", color="red", weight=0]; 10.97/4.35 231[label="xv300 == xv4000",fontsize=16,color="magenta"];231 -> 376[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 231 -> 377[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 232 -> 65[label="",style="dashed", color="red", weight=0]; 10.97/4.35 232[label="xv300 == xv4000",fontsize=16,color="magenta"];232 -> 378[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 232 -> 379[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 233 -> 66[label="",style="dashed", color="red", weight=0]; 10.97/4.35 233[label="xv300 == xv4000",fontsize=16,color="magenta"];233 -> 380[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 233 -> 381[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 234 -> 67[label="",style="dashed", color="red", weight=0]; 10.97/4.35 234[label="xv300 == xv4000",fontsize=16,color="magenta"];234 -> 382[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 234 -> 383[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 235 -> 68[label="",style="dashed", color="red", weight=0]; 10.97/4.35 235[label="xv300 == xv4000",fontsize=16,color="magenta"];235 -> 384[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 235 -> 385[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 236 -> 69[label="",style="dashed", color="red", weight=0]; 10.97/4.35 236[label="xv300 == xv4000",fontsize=16,color="magenta"];236 -> 386[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 236 -> 387[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 237 -> 70[label="",style="dashed", color="red", weight=0]; 10.97/4.35 237[label="xv300 == xv4000",fontsize=16,color="magenta"];237 -> 388[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 237 -> 389[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 238 -> 71[label="",style="dashed", color="red", weight=0]; 10.97/4.35 238[label="xv300 == xv4000",fontsize=16,color="magenta"];238 -> 390[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 238 -> 391[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 239 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 239[label="xv300 == xv4000",fontsize=16,color="magenta"];239 -> 392[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 239 -> 393[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 240[label="False && xv16",fontsize=16,color="black",shape="box"];240 -> 394[label="",style="solid", color="black", weight=3]; 10.97/4.35 241[label="True && xv16",fontsize=16,color="black",shape="box"];241 -> 395[label="",style="solid", color="black", weight=3]; 10.97/4.35 242[label="xv300 * xv4001",fontsize=16,color="black",shape="triangle"];242 -> 396[label="",style="solid", color="black", weight=3]; 10.97/4.35 243 -> 242[label="",style="dashed", color="red", weight=0]; 10.97/4.35 243[label="xv301 * xv4000",fontsize=16,color="magenta"];243 -> 397[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 243 -> 398[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 244[label="xv300",fontsize=16,color="green",shape="box"];245[label="xv4000",fontsize=16,color="green",shape="box"];246[label="xv300",fontsize=16,color="green",shape="box"];247[label="xv4000",fontsize=16,color="green",shape="box"];248[label="xv300",fontsize=16,color="green",shape="box"];249[label="xv4000",fontsize=16,color="green",shape="box"];250[label="xv4000",fontsize=16,color="green",shape="box"];251[label="xv300",fontsize=16,color="green",shape="box"];252[label="xv300",fontsize=16,color="green",shape="box"];253[label="xv4000",fontsize=16,color="green",shape="box"];254[label="xv300",fontsize=16,color="green",shape="box"];255[label="xv4000",fontsize=16,color="green",shape="box"];256[label="xv300",fontsize=16,color="green",shape="box"];257[label="xv4000",fontsize=16,color="green",shape="box"];258[label="xv300",fontsize=16,color="green",shape="box"];259[label="xv4000",fontsize=16,color="green",shape="box"];260[label="xv300",fontsize=16,color="green",shape="box"];261[label="xv4000",fontsize=16,color="green",shape="box"];262[label="xv300",fontsize=16,color="green",shape="box"];263[label="xv4000",fontsize=16,color="green",shape="box"];264[label="xv300",fontsize=16,color="green",shape="box"];265[label="xv4000",fontsize=16,color="green",shape="box"];266[label="xv300",fontsize=16,color="green",shape="box"];267[label="xv4000",fontsize=16,color="green",shape="box"];268[label="xv300",fontsize=16,color="green",shape="box"];269[label="xv4000",fontsize=16,color="green",shape="box"];270[label="xv300",fontsize=16,color="green",shape="box"];271[label="xv4000",fontsize=16,color="green",shape="box"];272[label="xv300",fontsize=16,color="green",shape="box"];273[label="xv4000",fontsize=16,color="green",shape="box"];274[label="xv300",fontsize=16,color="green",shape="box"];275[label="xv4000",fontsize=16,color="green",shape="box"];276[label="xv300",fontsize=16,color="green",shape="box"];277[label="xv4000",fontsize=16,color="green",shape="box"];278[label="xv4000",fontsize=16,color="green",shape="box"];279[label="xv300",fontsize=16,color="green",shape="box"];280[label="xv300",fontsize=16,color="green",shape="box"];281[label="xv4000",fontsize=16,color="green",shape="box"];282[label="xv300",fontsize=16,color="green",shape="box"];283[label="xv4000",fontsize=16,color="green",shape="box"];284[label="xv300",fontsize=16,color="green",shape="box"];285[label="xv4000",fontsize=16,color="green",shape="box"];286[label="xv300",fontsize=16,color="green",shape="box"];287[label="xv4000",fontsize=16,color="green",shape="box"];288[label="xv300",fontsize=16,color="green",shape="box"];289[label="xv4000",fontsize=16,color="green",shape="box"];290[label="xv300",fontsize=16,color="green",shape="box"];291[label="xv4000",fontsize=16,color="green",shape="box"];292[label="xv300",fontsize=16,color="green",shape="box"];293[label="xv4000",fontsize=16,color="green",shape="box"];294[label="xv300",fontsize=16,color="green",shape="box"];295[label="xv4000",fontsize=16,color="green",shape="box"];296[label="xv300",fontsize=16,color="green",shape="box"];297[label="xv4000",fontsize=16,color="green",shape="box"];298[label="xv300",fontsize=16,color="green",shape="box"];299[label="xv4000",fontsize=16,color="green",shape="box"];300 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583[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 480 -> 584[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 481 -> 67[label="",style="dashed", color="red", weight=0]; 10.97/4.35 481[label="xv301 == xv4001",fontsize=16,color="magenta"];481 -> 585[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 481 -> 586[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 482 -> 68[label="",style="dashed", color="red", weight=0]; 10.97/4.35 482[label="xv301 == xv4001",fontsize=16,color="magenta"];482 -> 587[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 482 -> 588[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 483 -> 69[label="",style="dashed", color="red", weight=0]; 10.97/4.35 483[label="xv301 == xv4001",fontsize=16,color="magenta"];483 -> 589[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 483 -> 590[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 484 -> 70[label="",style="dashed", color="red", weight=0]; 10.97/4.35 484[label="xv301 == xv4001",fontsize=16,color="magenta"];484 -> 591[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 484 -> 592[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 485 -> 71[label="",style="dashed", color="red", weight=0]; 10.97/4.35 485[label="xv301 == xv4001",fontsize=16,color="magenta"];485 -> 593[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 485 -> 594[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 486 -> 72[label="",style="dashed", color="red", weight=0]; 10.97/4.35 486[label="xv301 == xv4001",fontsize=16,color="magenta"];486 -> 595[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 486 -> 596[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 487[label="xv300",fontsize=16,color="green",shape="box"];488[label="xv4000",fontsize=16,color="green",shape="box"];489[label="xv300",fontsize=16,color="green",shape="box"];490[label="xv4000",fontsize=16,color="green",shape="box"];491[label="xv300",fontsize=16,color="green",shape="box"];492[label="xv4000",fontsize=16,color="green",shape="box"];493[label="xv4000",fontsize=16,color="green",shape="box"];494[label="xv300",fontsize=16,color="green",shape="box"];495[label="xv300",fontsize=16,color="green",shape="box"];496[label="xv4000",fontsize=16,color="green",shape="box"];497[label="xv300",fontsize=16,color="green",shape="box"];498[label="xv4000",fontsize=16,color="green",shape="box"];499[label="xv300",fontsize=16,color="green",shape="box"];500[label="xv4000",fontsize=16,color="green",shape="box"];501[label="xv300",fontsize=16,color="green",shape="box"];502[label="xv4000",fontsize=16,color="green",shape="box"];503[label="xv300",fontsize=16,color="green",shape="box"];504[label="xv4000",fontsize=16,color="green",shape="box"];505[label="xv300",fontsize=16,color="green",shape="box"];506[label="xv4000",fontsize=16,color="green",shape="box"];507[label="xv300",fontsize=16,color="green",shape="box"];508[label="xv4000",fontsize=16,color="green",shape="box"];509[label="xv300",fontsize=16,color="green",shape="box"];510[label="xv4000",fontsize=16,color="green",shape="box"];511[label="xv300",fontsize=16,color="green",shape="box"];512[label="xv4000",fontsize=16,color="green",shape="box"];513[label="xv300",fontsize=16,color="green",shape="box"];514[label="xv4000",fontsize=16,color="green",shape="box"];515[label="primEqNat (Succ xv3000) (Succ xv40000)",fontsize=16,color="black",shape="box"];515 -> 597[label="",style="solid", color="black", weight=3]; 10.97/4.35 516[label="primEqNat (Succ xv3000) Zero",fontsize=16,color="black",shape="box"];516 -> 598[label="",style="solid", color="black", weight=3]; 10.97/4.35 517[label="primEqNat Zero (Succ xv40000)",fontsize=16,color="black",shape="box"];517 -> 599[label="",style="solid", color="black", weight=3]; 10.97/4.35 518[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];518 -> 600[label="",style="solid", color="black", weight=3]; 10.97/4.35 519[label="xv301",fontsize=16,color="green",shape="box"];520[label="xv4001",fontsize=16,color="green",shape="box"];521[label="xv301",fontsize=16,color="green",shape="box"];522[label="xv4001",fontsize=16,color="green",shape="box"];523[label="xv300",fontsize=16,color="green",shape="box"];524[label="xv4000",fontsize=16,color="green",shape="box"];525[label="xv300",fontsize=16,color="green",shape="box"];526[label="xv4000",fontsize=16,color="green",shape="box"];527 -> 200[label="",style="dashed", color="red", weight=0]; 10.97/4.35 527[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];527 -> 601[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 527 -> 602[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 528[label="False",fontsize=16,color="green",shape="box"];529[label="False",fontsize=16,color="green",shape="box"];530[label="True",fontsize=16,color="green",shape="box"];531[label="False",fontsize=16,color="green",shape="box"];532[label="True",fontsize=16,color="green",shape="box"];533 -> 200[label="",style="dashed", color="red", weight=0]; 10.97/4.35 533[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];533 -> 603[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 533 -> 604[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 534[label="False",fontsize=16,color="green",shape="box"];535[label="False",fontsize=16,color="green",shape="box"];536[label="True",fontsize=16,color="green",shape="box"];537[label="False",fontsize=16,color="green",shape="box"];538[label="True",fontsize=16,color="green",shape="box"];539[label="primMulInt (Pos xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];877[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];539 -> 877[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 877 -> 605[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 878[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];539 -> 878[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 878 -> 606[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 540[label="primMulInt (Neg xv3000) xv4001",fontsize=16,color="burlywood",shape="box"];879[label="xv4001/Pos xv40010",fontsize=10,color="white",style="solid",shape="box"];540 -> 879[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 879 -> 607[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 880[label="xv4001/Neg xv40010",fontsize=10,color="white",style="solid",shape="box"];540 -> 880[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 880 -> 608[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 541[label="xv302",fontsize=16,color="green",shape="box"];542[label="xv4002",fontsize=16,color="green",shape="box"];543[label="xv302",fontsize=16,color="green",shape="box"];544[label="xv4002",fontsize=16,color="green",shape="box"];545[label="xv302",fontsize=16,color="green",shape="box"];546[label="xv4002",fontsize=16,color="green",shape="box"];547[label="xv4002",fontsize=16,color="green",shape="box"];548[label="xv302",fontsize=16,color="green",shape="box"];549[label="xv302",fontsize=16,color="green",shape="box"];550[label="xv4002",fontsize=16,color="green",shape="box"];551[label="xv302",fontsize=16,color="green",shape="box"];552[label="xv4002",fontsize=16,color="green",shape="box"];553[label="xv302",fontsize=16,color="green",shape="box"];554[label="xv4002",fontsize=16,color="green",shape="box"];555[label="xv302",fontsize=16,color="green",shape="box"];556[label="xv4002",fontsize=16,color="green",shape="box"];557[label="xv302",fontsize=16,color="green",shape="box"];558[label="xv4002",fontsize=16,color="green",shape="box"];559[label="xv302",fontsize=16,color="green",shape="box"];560[label="xv4002",fontsize=16,color="green",shape="box"];561[label="xv302",fontsize=16,color="green",shape="box"];562[label="xv4002",fontsize=16,color="green",shape="box"];563[label="xv302",fontsize=16,color="green",shape="box"];564[label="xv4002",fontsize=16,color="green",shape="box"];565[label="xv302",fontsize=16,color="green",shape="box"];566[label="xv4002",fontsize=16,color="green",shape="box"];567[label="xv302",fontsize=16,color="green",shape="box"];568[label="xv4002",fontsize=16,color="green",shape="box"];569[label="xv301",fontsize=16,color="green",shape="box"];570[label="xv4001",fontsize=16,color="green",shape="box"];571[label="xv301",fontsize=16,color="green",shape="box"];572[label="xv4001",fontsize=16,color="green",shape="box"];573[label="xv301",fontsize=16,color="green",shape="box"];574[label="xv4001",fontsize=16,color="green",shape="box"];575[label="xv4001",fontsize=16,color="green",shape="box"];576[label="xv301",fontsize=16,color="green",shape="box"];577[label="xv301",fontsize=16,color="green",shape="box"];578[label="xv4001",fontsize=16,color="green",shape="box"];579[label="xv301",fontsize=16,color="green",shape="box"];580[label="xv4001",fontsize=16,color="green",shape="box"];581[label="xv301",fontsize=16,color="green",shape="box"];582[label="xv4001",fontsize=16,color="green",shape="box"];583[label="xv301",fontsize=16,color="green",shape="box"];584[label="xv4001",fontsize=16,color="green",shape="box"];585[label="xv301",fontsize=16,color="green",shape="box"];586[label="xv4001",fontsize=16,color="green",shape="box"];587[label="xv301",fontsize=16,color="green",shape="box"];588[label="xv4001",fontsize=16,color="green",shape="box"];589[label="xv301",fontsize=16,color="green",shape="box"];590[label="xv4001",fontsize=16,color="green",shape="box"];591[label="xv301",fontsize=16,color="green",shape="box"];592[label="xv4001",fontsize=16,color="green",shape="box"];593[label="xv301",fontsize=16,color="green",shape="box"];594[label="xv4001",fontsize=16,color="green",shape="box"];595[label="xv301",fontsize=16,color="green",shape="box"];596[label="xv4001",fontsize=16,color="green",shape="box"];597 -> 200[label="",style="dashed", color="red", weight=0]; 10.97/4.35 597[label="primEqNat xv3000 xv40000",fontsize=16,color="magenta"];597 -> 609[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 597 -> 610[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 598[label="False",fontsize=16,color="green",shape="box"];599[label="False",fontsize=16,color="green",shape="box"];600[label="True",fontsize=16,color="green",shape="box"];601[label="xv3000",fontsize=16,color="green",shape="box"];602[label="xv40000",fontsize=16,color="green",shape="box"];603[label="xv3000",fontsize=16,color="green",shape="box"];604[label="xv40000",fontsize=16,color="green",shape="box"];605[label="primMulInt (Pos xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];605 -> 611[label="",style="solid", color="black", weight=3]; 10.97/4.35 606[label="primMulInt (Pos xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];606 -> 612[label="",style="solid", color="black", weight=3]; 10.97/4.35 607[label="primMulInt (Neg xv3000) (Pos xv40010)",fontsize=16,color="black",shape="box"];607 -> 613[label="",style="solid", color="black", weight=3]; 10.97/4.35 608[label="primMulInt (Neg xv3000) (Neg xv40010)",fontsize=16,color="black",shape="box"];608 -> 614[label="",style="solid", color="black", weight=3]; 10.97/4.35 609[label="xv3000",fontsize=16,color="green",shape="box"];610[label="xv40000",fontsize=16,color="green",shape="box"];611[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];611 -> 615[label="",style="dashed", color="green", weight=3]; 10.97/4.35 612[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];612 -> 616[label="",style="dashed", color="green", weight=3]; 10.97/4.35 613[label="Neg (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];613 -> 617[label="",style="dashed", color="green", weight=3]; 10.97/4.35 614[label="Pos (primMulNat xv3000 xv40010)",fontsize=16,color="green",shape="box"];614 -> 618[label="",style="dashed", color="green", weight=3]; 10.97/4.35 615[label="primMulNat xv3000 xv40010",fontsize=16,color="burlywood",shape="triangle"];881[label="xv3000/Succ xv30000",fontsize=10,color="white",style="solid",shape="box"];615 -> 881[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 881 -> 619[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 882[label="xv3000/Zero",fontsize=10,color="white",style="solid",shape="box"];615 -> 882[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 882 -> 620[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 616 -> 615[label="",style="dashed", color="red", weight=0]; 10.97/4.35 616[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];616 -> 621[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 617 -> 615[label="",style="dashed", color="red", weight=0]; 10.97/4.35 617[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];617 -> 622[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 618 -> 615[label="",style="dashed", color="red", weight=0]; 10.97/4.35 618[label="primMulNat xv3000 xv40010",fontsize=16,color="magenta"];618 -> 623[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 618 -> 624[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 619[label="primMulNat (Succ xv30000) xv40010",fontsize=16,color="burlywood",shape="box"];883[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];619 -> 883[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 883 -> 625[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 884[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 884[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 884 -> 626[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 620[label="primMulNat Zero xv40010",fontsize=16,color="burlywood",shape="box"];885[label="xv40010/Succ xv400100",fontsize=10,color="white",style="solid",shape="box"];620 -> 885[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 885 -> 627[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 886[label="xv40010/Zero",fontsize=10,color="white",style="solid",shape="box"];620 -> 886[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 886 -> 628[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 621[label="xv40010",fontsize=16,color="green",shape="box"];622[label="xv3000",fontsize=16,color="green",shape="box"];623[label="xv3000",fontsize=16,color="green",shape="box"];624[label="xv40010",fontsize=16,color="green",shape="box"];625[label="primMulNat (Succ xv30000) (Succ xv400100)",fontsize=16,color="black",shape="box"];625 -> 629[label="",style="solid", color="black", weight=3]; 10.97/4.35 626[label="primMulNat (Succ xv30000) Zero",fontsize=16,color="black",shape="box"];626 -> 630[label="",style="solid", color="black", weight=3]; 10.97/4.35 627[label="primMulNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];627 -> 631[label="",style="solid", color="black", weight=3]; 10.97/4.35 628[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];628 -> 632[label="",style="solid", color="black", weight=3]; 10.97/4.35 629 -> 633[label="",style="dashed", color="red", weight=0]; 10.97/4.35 629[label="primPlusNat (primMulNat xv30000 (Succ xv400100)) (Succ xv400100)",fontsize=16,color="magenta"];629 -> 634[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 630[label="Zero",fontsize=16,color="green",shape="box"];631[label="Zero",fontsize=16,color="green",shape="box"];632[label="Zero",fontsize=16,color="green",shape="box"];634 -> 615[label="",style="dashed", color="red", weight=0]; 10.97/4.35 634[label="primMulNat xv30000 (Succ xv400100)",fontsize=16,color="magenta"];634 -> 635[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 634 -> 636[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 633[label="primPlusNat xv17 (Succ xv400100)",fontsize=16,color="burlywood",shape="triangle"];887[label="xv17/Succ xv170",fontsize=10,color="white",style="solid",shape="box"];633 -> 887[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 887 -> 637[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 888[label="xv17/Zero",fontsize=10,color="white",style="solid",shape="box"];633 -> 888[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 888 -> 638[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 635[label="xv30000",fontsize=16,color="green",shape="box"];636[label="Succ xv400100",fontsize=16,color="green",shape="box"];637[label="primPlusNat (Succ xv170) (Succ xv400100)",fontsize=16,color="black",shape="box"];637 -> 639[label="",style="solid", color="black", weight=3]; 10.97/4.35 638[label="primPlusNat Zero (Succ xv400100)",fontsize=16,color="black",shape="box"];638 -> 640[label="",style="solid", color="black", weight=3]; 10.97/4.35 639[label="Succ (Succ (primPlusNat xv170 xv400100))",fontsize=16,color="green",shape="box"];639 -> 641[label="",style="dashed", color="green", weight=3]; 10.97/4.35 640[label="Succ xv400100",fontsize=16,color="green",shape="box"];641[label="primPlusNat xv170 xv400100",fontsize=16,color="burlywood",shape="triangle"];889[label="xv170/Succ xv1700",fontsize=10,color="white",style="solid",shape="box"];641 -> 889[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 889 -> 642[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 890[label="xv170/Zero",fontsize=10,color="white",style="solid",shape="box"];641 -> 890[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 890 -> 643[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 642[label="primPlusNat (Succ xv1700) xv400100",fontsize=16,color="burlywood",shape="box"];891[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];642 -> 891[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 891 -> 644[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 892[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];642 -> 892[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 892 -> 645[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 643[label="primPlusNat Zero xv400100",fontsize=16,color="burlywood",shape="box"];893[label="xv400100/Succ xv4001000",fontsize=10,color="white",style="solid",shape="box"];643 -> 893[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 893 -> 646[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 894[label="xv400100/Zero",fontsize=10,color="white",style="solid",shape="box"];643 -> 894[label="",style="solid", color="burlywood", weight=9]; 10.97/4.35 894 -> 647[label="",style="solid", color="burlywood", weight=3]; 10.97/4.35 644[label="primPlusNat (Succ xv1700) (Succ xv4001000)",fontsize=16,color="black",shape="box"];644 -> 648[label="",style="solid", color="black", weight=3]; 10.97/4.35 645[label="primPlusNat (Succ xv1700) Zero",fontsize=16,color="black",shape="box"];645 -> 649[label="",style="solid", color="black", weight=3]; 10.97/4.35 646[label="primPlusNat Zero (Succ xv4001000)",fontsize=16,color="black",shape="box"];646 -> 650[label="",style="solid", color="black", weight=3]; 10.97/4.35 647[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];647 -> 651[label="",style="solid", color="black", weight=3]; 10.97/4.35 648[label="Succ (Succ (primPlusNat xv1700 xv4001000))",fontsize=16,color="green",shape="box"];648 -> 652[label="",style="dashed", color="green", weight=3]; 10.97/4.35 649[label="Succ xv1700",fontsize=16,color="green",shape="box"];650[label="Succ xv4001000",fontsize=16,color="green",shape="box"];651[label="Zero",fontsize=16,color="green",shape="box"];652 -> 641[label="",style="dashed", color="red", weight=0]; 10.97/4.35 652[label="primPlusNat xv1700 xv4001000",fontsize=16,color="magenta"];652 -> 653[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 652 -> 654[label="",style="dashed", color="magenta", weight=3]; 10.97/4.35 653[label="xv1700",fontsize=16,color="green",shape="box"];654[label="xv4001000",fontsize=16,color="green",shape="box"];} 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (6) 10.97/4.35 Complex Obligation (AND) 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (7) 10.97/4.35 Obligation: 10.97/4.35 Q DP problem: 10.97/4.35 The TRS P consists of the following rules: 10.97/4.35 10.97/4.35 new_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) 10.97/4.35 10.97/4.35 R is empty. 10.97/4.35 Q is empty. 10.97/4.35 We have to consider all minimal (P,Q,R)-chains. 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (8) QDPSizeChangeProof (EQUIVALENT) 10.97/4.35 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. 10.97/4.35 10.97/4.35 From the DPs we obtained the following set of size-change graphs: 10.97/4.35 *new_foldr(xv3, :(xv40, xv41), h) -> new_foldr(xv3, xv41, h) 10.97/4.35 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.97/4.35 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (9) 10.97/4.35 YES 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (10) 10.97/4.35 Obligation: 10.97/4.35 Q DP problem: 10.97/4.35 The TRS P consists of the following rules: 10.97/4.35 10.97/4.35 new_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 10.97/4.35 10.97/4.35 R is empty. 10.97/4.35 Q is empty. 10.97/4.35 We have to consider all minimal (P,Q,R)-chains. 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (11) QDPSizeChangeProof (EQUIVALENT) 10.97/4.35 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. 10.97/4.35 10.97/4.35 From the DPs we obtained the following set of size-change graphs: 10.97/4.35 *new_primMulNat(Succ(xv30000), Succ(xv400100)) -> new_primMulNat(xv30000, Succ(xv400100)) 10.97/4.35 The graph contains the following edges 1 > 1, 2 >= 2 10.97/4.35 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (12) 10.97/4.35 YES 10.97/4.35 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (13) 10.97/4.35 Obligation: 10.97/4.35 Q DP problem: 10.97/4.35 The TRS P consists of the following rules: 10.97/4.35 10.97/4.35 new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, da), db)), cd)) -> new_esEs2(xv300, xv4000, da, db) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_Either, bbc), bbd)), bba)) -> new_esEs1(xv301, xv4001, bbc, bbd) 10.97/4.35 new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, cf), cg), cd) -> new_esEs1(xv300, xv4000, cf, cg) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, be), bf)) -> new_esEs2(xv300, xv4000, be, bf) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, hb), hc), hd), gd) -> new_esEs3(xv300, xv4000, hb, hc, hd) 10.97/4.35 new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(ty_Either, ea), eb))) -> new_esEs1(xv300, xv4000, ea, eb) 10.97/4.35 new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, dc), dd), de), cd) -> new_esEs3(xv300, xv4000, dc, dd, de) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bcd), bce), hf, bba) -> new_esEs1(xv300, xv4000, bcd, bce) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], gc)), gd)) -> new_esEs(xv300, xv4000, gc) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_Maybe, bbb)), bba)) -> new_esEs0(xv301, xv4001, bbb) 10.97/4.35 new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) -> new_esEs2(xv300, xv4000, ec, ed) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, bcf), bcg)), hf), bba)) -> new_esEs2(xv300, xv4000, bcf, bcg) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_@2, ff), fg)) -> new_esEs2(xv301, xv4001, ff, fg) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, gh), ha)), gd)) -> new_esEs2(xv300, xv4000, gh, ha) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, hb), hc), hd)), gd)) -> new_esEs3(xv300, xv4000, hb, hc, hd) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], ba)) -> new_esEs(xv300, xv4000, ba) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ge), gd) -> new_esEs0(xv300, xv4000, ge) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bg), bh), ca))) -> new_esEs3(xv300, xv4000, bg, bh, ca) 10.97/4.35 new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], cc)), cd)) -> new_esEs(xv300, xv4000, cc) 10.97/4.35 new_esEs1(Right(xv300), Right(xv4000), df, app(ty_Maybe, dh)) -> new_esEs0(xv300, xv4000, dh) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_Either, baa), bab)) -> new_esEs1(xv302, xv4002, baa, bab) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], h)) -> new_esEs(xv301, xv4001, h) 10.97/4.35 new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(ty_[], dg))) -> new_esEs(xv300, xv4000, dg) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_@2, bbe), bbf), bba) -> new_esEs2(xv301, xv4001, bbe, bbf) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bc), bd)) -> new_esEs1(xv300, xv4000, bc, bd) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], ba))) -> new_esEs(xv300, xv4000, ba) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], bcb)), hf), bba)) -> new_esEs(xv300, xv4000, bcb) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_Either, baa), bab))) -> new_esEs1(xv302, xv4002, baa, bab) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_[], fa))) -> new_esEs(xv301, xv4001, fa) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(app(ty_@3, bbg), bbh), bca), bba) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_Either, fc), fd))) -> new_esEs1(xv301, xv4001, fc, fd) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_Maybe, fb)) -> new_esEs0(xv301, xv4001, fb) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_[], bah), bba) -> new_esEs(xv301, xv4001, bah) 10.97/4.35 new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, da), db), cd) -> new_esEs2(xv300, xv4000, da, db) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_Maybe, hh))) -> new_esEs0(xv302, xv4002, hh) 10.97/4.35 new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) -> new_esEs3(xv300, xv4000, ee, ef, eg) 10.97/4.35 new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, cb)) -> new_esEs0(xv30, xv400, cb) 10.97/4.35 new_esEs1(Right(xv300), Right(xv4000), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xv300, xv4000, ee, ef, eg) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gf), gg), gd) -> new_esEs1(xv300, xv4000, gf, gg) 10.97/4.35 new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, ce), cd) -> new_esEs0(xv300, xv4000, ce) 10.97/4.35 new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, ce)), cd)) -> new_esEs0(xv300, xv4000, ce) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_Either, bbc), bbd), bba) -> new_esEs1(xv301, xv4001, bbc, bbd) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_Maybe, hh)) -> new_esEs0(xv302, xv4002, hh) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_[], hg))) -> new_esEs(xv302, xv4002, hg) 10.97/4.35 new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, cf), cg)), cd)) -> new_esEs1(xv300, xv4000, cf, cg) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_@2, bbe), bbf)), bba)) -> new_esEs2(xv301, xv4001, bbe, bbf) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bch), bda), bdb), hf, bba) -> new_esEs3(xv300, xv4000, bch, bda, bdb) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs3(xv300, xv4000, bg, bh, ca) 10.97/4.35 new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), cd)) -> new_esEs3(xv300, xv4000, dc, dd, de) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, gf), gg)), gd)) -> new_esEs1(xv300, xv4000, gf, gg) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_[], fa)) -> new_esEs(xv301, xv4001, fa) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), h) -> new_esEs(xv301, xv4001, h) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(app(ty_@3, bae), baf), bag))) -> new_esEs3(xv302, xv4002, bae, baf, bag) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bcc)), hf), bba)) -> new_esEs0(xv300, xv4000, bcc) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bc), bd))) -> new_esEs1(xv300, xv4000, bc, bd) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs3(xv302, xv4002, bae, baf, bag) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_Maybe, bbb), bba) -> new_esEs0(xv301, xv4001, bbb) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, be), bf))) -> new_esEs2(xv300, xv4000, be, bf) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gh), ha), gd) -> new_esEs2(xv300, xv4000, gh, ha) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_@2, bac), bad))) -> new_esEs2(xv302, xv4002, bac, bad) 10.97/4.35 new_esEs1(Right(xv300), Right(xv4000), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xv300, xv4000, ec, ed) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcc), hf, bba) -> new_esEs0(xv300, xv4000, bcc) 10.97/4.35 new_esEs1(Left(xv300), Left(xv4000), app(ty_[], cc), cd) -> new_esEs(xv300, xv4000, cc) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_@2, bac), bad)) -> new_esEs2(xv302, xv4002, bac, bad) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_@2, ff), fg))) -> new_esEs2(xv301, xv4001, ff, fg) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs3(xv301, xv4001, fh, ga, gb) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bcd), bce)), hf), bba)) -> new_esEs1(xv300, xv4000, bcd, bce) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bcf), bcg), hf, bba) -> new_esEs2(xv300, xv4000, bcf, bcg) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(app(ty_@3, fh), ga), gb))) -> new_esEs3(xv301, xv4001, fh, ga, gb) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_[], hg)) -> new_esEs(xv302, xv4002, hg) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(app(ty_@3, bbg), bbh), bca)), bba)) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], gc), gd) -> new_esEs(xv300, xv4000, gc) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, ge)), gd)) -> new_esEs0(xv300, xv4000, ge) 10.97/4.35 new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bb))) -> new_esEs0(xv300, xv4000, bb) 10.97/4.35 new_esEs1(Right(xv300), Right(xv4000), df, app(ty_[], dg)) -> new_esEs(xv300, xv4000, dg) 10.97/4.35 new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bcb), hf, bba) -> new_esEs(xv300, xv4000, bcb) 10.97/4.35 new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(ty_Maybe, dh))) -> new_esEs0(xv300, xv4000, dh) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bch), bda), bdb)), hf), bba)) -> new_esEs3(xv300, xv4000, bch, bda, bdb) 10.97/4.35 new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_[], bah)), bba)) -> new_esEs(xv301, xv4001, bah) 10.97/4.35 new_esEs1(Right(xv300), Right(xv4000), df, app(app(ty_Either, ea), eb)) -> new_esEs1(xv300, xv4000, ea, eb) 10.97/4.35 new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_Either, fc), fd)) -> new_esEs1(xv301, xv4001, fc, fd) 10.97/4.35 new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bb)) -> new_esEs0(xv300, xv4000, bb) 10.97/4.35 new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_Maybe, fb))) -> new_esEs0(xv301, xv4001, fb) 10.97/4.35 10.97/4.35 R is empty. 10.97/4.35 Q is empty. 10.97/4.35 We have to consider all minimal (P,Q,R)-chains. 10.97/4.35 ---------------------------------------- 10.97/4.35 10.97/4.35 (14) QDPSizeChangeProof (EQUIVALENT) 10.97/4.35 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. 10.97/4.35 10.97/4.35 From the DPs we obtained the following set of size-change graphs: 10.97/4.35 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_Maybe, bb)) -> new_esEs0(xv300, xv4000, bb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_Either, bc), bd)) -> new_esEs1(xv300, xv4000, bc, bd) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(ty_@2, be), bf)) -> new_esEs2(xv300, xv4000, be, bf) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(app(app(ty_@3, bg), bh), ca)) -> new_esEs3(xv300, xv4000, bg, bh, ca) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_Maybe, ge), gd) -> new_esEs0(xv300, xv4000, ge) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_Maybe, fb)) -> new_esEs0(xv301, xv4001, fb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_Either, gf), gg), gd) -> new_esEs1(xv300, xv4000, gf, gg) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_Either, fc), fd)) -> new_esEs1(xv301, xv4001, fc, fd) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(ty_[], fa)) -> new_esEs(xv301, xv4001, fa) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(ty_[], gc), gd) -> new_esEs(xv300, xv4000, gc) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(ty_@2, ff), fg)) -> new_esEs2(xv301, xv4001, ff, fg) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(ty_@2, gh), ha), gd) -> new_esEs2(xv300, xv4000, gh, ha) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), app(app(app(ty_@3, hb), hc), hd), gd) -> new_esEs3(xv300, xv4000, hb, hc, hd) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs2(@2(xv300, xv301), @2(xv4000, xv4001), eh, app(app(app(ty_@3, fh), ga), gb)) -> new_esEs3(xv301, xv4001, fh, ga, gb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Right(xv300), Right(xv4000), df, app(ty_Maybe, dh)) -> new_esEs0(xv300, xv4000, dh) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Left(xv300), Left(xv4000), app(ty_Maybe, ce), cd) -> new_esEs0(xv300, xv4000, ce) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_Maybe, hh)) -> new_esEs0(xv302, xv4002, hh) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_Maybe, bbb), bba) -> new_esEs0(xv301, xv4001, bbb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_Maybe, bcc), hf, bba) -> new_esEs0(xv300, xv4000, bcc) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_Maybe, bbb)), bba)) -> new_esEs0(xv301, xv4001, bbb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_Maybe, hh))) -> new_esEs0(xv302, xv4002, hh) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(xv30), Just(xv400), app(ty_Maybe, cb)) -> new_esEs0(xv30, xv400, cb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_Maybe, ce)), cd)) -> new_esEs0(xv300, xv4000, ce) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_Maybe, bcc)), hf), bba)) -> new_esEs0(xv300, xv4000, bcc) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_Maybe, ge)), gd)) -> new_esEs0(xv300, xv4000, ge) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_Maybe, bb))) -> new_esEs0(xv300, xv4000, bb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(ty_Maybe, dh))) -> new_esEs0(xv300, xv4000, dh) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_Maybe, fb))) -> new_esEs0(xv301, xv4001, fb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Left(xv300), Left(xv4000), app(app(ty_Either, cf), cg), cd) -> new_esEs1(xv300, xv4000, cf, cg) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Right(xv300), Right(xv4000), df, app(app(ty_Either, ea), eb)) -> new_esEs1(xv300, xv4000, ea, eb) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Left(xv300), Left(xv4000), app(ty_[], cc), cd) -> new_esEs(xv300, xv4000, cc) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Right(xv300), Right(xv4000), df, app(ty_[], dg)) -> new_esEs(xv300, xv4000, dg) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Left(xv300), Left(xv4000), app(app(ty_@2, da), db), cd) -> new_esEs2(xv300, xv4000, da, db) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Right(xv300), Right(xv4000), df, app(app(ty_@2, ec), ed)) -> new_esEs2(xv300, xv4000, ec, ed) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Left(xv300), Left(xv4000), app(app(app(ty_@3, dc), dd), de), cd) -> new_esEs3(xv300, xv4000, dc, dd, de) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs1(Right(xv300), Right(xv4000), df, app(app(app(ty_@3, ee), ef), eg)) -> new_esEs3(xv300, xv4000, ee, ef, eg) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_Either, bcd), bce), hf, bba) -> new_esEs1(xv300, xv4000, bcd, bce) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_Either, baa), bab)) -> new_esEs1(xv302, xv4002, baa, bab) 10.97/4.35 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 10.97/4.35 10.97/4.35 10.97/4.35 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_Either, bbc), bbd), bba) -> new_esEs1(xv301, xv4001, bbc, bbd) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_Either, bbc), bbd)), bba)) -> new_esEs1(xv301, xv4001, bbc, bbd) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(ty_Either, ea), eb))) -> new_esEs1(xv300, xv4000, ea, eb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_Either, baa), bab))) -> new_esEs1(xv302, xv4002, baa, bab) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_Either, fc), fd))) -> new_esEs1(xv301, xv4001, fc, fd) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_Either, cf), cg)), cd)) -> new_esEs1(xv300, xv4000, cf, cg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_Either, gf), gg)), gd)) -> new_esEs1(xv300, xv4000, gf, gg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_Either, bc), bd))) -> new_esEs1(xv300, xv4000, bc, bd) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_Either, bcd), bce)), hf), bba)) -> new_esEs1(xv300, xv4000, bcd, bce) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(ty_[], bah), bba) -> new_esEs(xv301, xv4001, bah) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(ty_[], hg)) -> new_esEs(xv302, xv4002, hg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(ty_[], bcb), hf, bba) -> new_esEs(xv300, xv4000, bcb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), app(ty_[], ba)) -> new_esEs(xv300, xv4000, ba) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs(:(xv300, xv301), :(xv4000, xv4001), h) -> new_esEs(xv301, xv4001, h) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(ty_[], gc)), gd)) -> new_esEs(xv300, xv4000, gc) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(ty_[], cc)), cd)) -> new_esEs(xv300, xv4000, cc) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], h)) -> new_esEs(xv301, xv4001, h) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(ty_[], dg))) -> new_esEs(xv300, xv4000, dg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(ty_[], ba))) -> new_esEs(xv300, xv4000, ba) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(ty_[], bcb)), hf), bba)) -> new_esEs(xv300, xv4000, bcb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(ty_[], fa))) -> new_esEs(xv301, xv4001, fa) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(ty_[], hg))) -> new_esEs(xv302, xv4002, hg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(ty_[], bah)), bba)) -> new_esEs(xv301, xv4001, bah) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(ty_@2, bbe), bbf), bba) -> new_esEs2(xv301, xv4001, bbe, bbf) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(ty_@2, bac), bad)) -> new_esEs2(xv302, xv4002, bac, bad) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(ty_@2, bcf), bcg), hf, bba) -> new_esEs2(xv300, xv4000, bcf, bcg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, app(app(app(ty_@3, bbg), bbh), bca), bba) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), app(app(app(ty_@3, bch), bda), bdb), hf, bba) -> new_esEs3(xv300, xv4000, bch, bda, bdb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs3(@3(xv300, xv301, xv302), @3(xv4000, xv4001, xv4002), he, hf, app(app(app(ty_@3, bae), baf), bag)) -> new_esEs3(xv302, xv4002, bae, baf, bag) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(ty_@2, da), db)), cd)) -> new_esEs2(xv300, xv4000, da, db) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(ty_@2, ec), ed))) -> new_esEs2(xv300, xv4000, ec, ed) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(ty_@2, bcf), bcg)), hf), bba)) -> new_esEs2(xv300, xv4000, bcf, bcg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(ty_@2, gh), ha)), gd)) -> new_esEs2(xv300, xv4000, gh, ha) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(ty_@2, bbe), bbf)), bba)) -> new_esEs2(xv301, xv4001, bbe, bbf) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(ty_@2, be), bf))) -> new_esEs2(xv300, xv4000, be, bf) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(ty_@2, bac), bad))) -> new_esEs2(xv302, xv4002, bac, bad) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(ty_@2, ff), fg))) -> new_esEs2(xv301, xv4001, ff, fg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, app(app(app(ty_@3, hb), hc), hd)), gd)) -> new_esEs3(xv300, xv4000, hb, hc, hd) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(:(xv300, xv301)), Just(:(xv4000, xv4001)), app(ty_[], app(app(app(ty_@3, bg), bh), ca))) -> new_esEs3(xv300, xv4000, bg, bh, ca) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Right(xv300)), Just(Right(xv4000)), app(app(ty_Either, df), app(app(app(ty_@3, ee), ef), eg))) -> new_esEs3(xv300, xv4000, ee, ef, eg) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(Left(xv300)), Just(Left(xv4000)), app(app(ty_Either, app(app(app(ty_@3, dc), dd), de)), cd)) -> new_esEs3(xv300, xv4000, dc, dd, de) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), hf), app(app(app(ty_@3, bae), baf), bag))) -> new_esEs3(xv302, xv4002, bae, baf, bag) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@2(xv300, xv301)), Just(@2(xv4000, xv4001)), app(app(ty_@2, eh), app(app(app(ty_@3, fh), ga), gb))) -> new_esEs3(xv301, xv4001, fh, ga, gb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, he), app(app(app(ty_@3, bbg), bbh), bca)), bba)) -> new_esEs3(xv301, xv4001, bbg, bbh, bca) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 *new_esEs0(Just(@3(xv300, xv301, xv302)), Just(@3(xv4000, xv4001, xv4002)), app(app(app(ty_@3, app(app(app(ty_@3, bch), bda), bdb)), hf), bba)) -> new_esEs3(xv300, xv4000, bch, bda, bdb) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 10.97/4.36 10.97/4.36 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (15) 10.97/4.36 YES 10.97/4.36 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (16) 10.97/4.36 Obligation: 10.97/4.36 Q DP problem: 10.97/4.36 The TRS P consists of the following rules: 10.97/4.36 10.97/4.36 new_primPlusNat(Succ(xv1700), Succ(xv4001000)) -> new_primPlusNat(xv1700, xv4001000) 10.97/4.36 10.97/4.36 R is empty. 10.97/4.36 Q is empty. 10.97/4.36 We have to consider all minimal (P,Q,R)-chains. 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (17) QDPSizeChangeProof (EQUIVALENT) 10.97/4.36 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. 10.97/4.36 10.97/4.36 From the DPs we obtained the following set of size-change graphs: 10.97/4.36 *new_primPlusNat(Succ(xv1700), Succ(xv4001000)) -> new_primPlusNat(xv1700, xv4001000) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2 10.97/4.36 10.97/4.36 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (18) 10.97/4.36 YES 10.97/4.36 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (19) 10.97/4.36 Obligation: 10.97/4.36 Q DP problem: 10.97/4.36 The TRS P consists of the following rules: 10.97/4.36 10.97/4.36 new_primEqNat(Succ(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) 10.97/4.36 10.97/4.36 R is empty. 10.97/4.36 Q is empty. 10.97/4.36 We have to consider all minimal (P,Q,R)-chains. 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (20) QDPSizeChangeProof (EQUIVALENT) 10.97/4.36 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. 10.97/4.36 10.97/4.36 From the DPs we obtained the following set of size-change graphs: 10.97/4.36 *new_primEqNat(Succ(xv3000), Succ(xv40000)) -> new_primEqNat(xv3000, xv40000) 10.97/4.36 The graph contains the following edges 1 > 1, 2 > 2 10.97/4.36 10.97/4.36 10.97/4.36 ---------------------------------------- 10.97/4.36 10.97/4.36 (21) 10.97/4.36 YES 10.97/4.39 EOF