13.89/5.56 YES 16.42/6.24 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 16.42/6.24 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.42/6.24 16.42/6.24 16.42/6.24 H-Termination with start terms of the given HASKELL could be proven: 16.42/6.24 16.42/6.24 (0) HASKELL 16.42/6.24 (1) LR [EQUIVALENT, 0 ms] 16.42/6.24 (2) HASKELL 16.42/6.24 (3) CR [EQUIVALENT, 0 ms] 16.42/6.24 (4) HASKELL 16.42/6.24 (5) IFR [EQUIVALENT, 0 ms] 16.42/6.24 (6) HASKELL 16.42/6.24 (7) BR [EQUIVALENT, 0 ms] 16.42/6.24 (8) HASKELL 16.42/6.24 (9) COR [EQUIVALENT, 10 ms] 16.42/6.24 (10) HASKELL 16.42/6.24 (11) Narrow [SOUND, 0 ms] 16.42/6.24 (12) AND 16.42/6.24 (13) QDP 16.42/6.24 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (15) YES 16.42/6.24 (16) QDP 16.42/6.24 (17) DependencyGraphProof [EQUIVALENT, 0 ms] 16.42/6.24 (18) AND 16.42/6.24 (19) QDP 16.42/6.24 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (21) YES 16.42/6.24 (22) QDP 16.42/6.24 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (24) YES 16.42/6.24 (25) QDP 16.42/6.24 (26) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (27) YES 16.42/6.24 (28) QDP 16.42/6.24 (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (30) YES 16.42/6.24 (31) QDP 16.42/6.24 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (33) YES 16.42/6.24 (34) QDP 16.42/6.24 (35) QDPSizeChangeProof [EQUIVALENT, 0 ms] 16.42/6.24 (36) YES 16.42/6.24 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (0) 16.42/6.24 Obligation: 16.42/6.24 mainModule Main 16.42/6.24 module Maybe where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 module List where { 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.24 intersect = intersectBy (==); 16.42/6.24 16.42/6.24 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.24 intersectBy eq xs ys = concatMap (\vv2 ->case vv2 of { 16.42/6.24 x-> if any (eq x) ys then x : [] else []; 16.42/6.24 _-> []; 16.42/6.24 } ) xs; 16.42/6.24 16.42/6.24 } 16.42/6.24 module Main where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (1) LR (EQUIVALENT) 16.42/6.24 Lambda Reductions: 16.42/6.24 The following Lambda expression 16.42/6.24 "\vv2->case vv2 of { 16.42/6.24 x -> if any (eq x) ys then x : [] else []; 16.42/6.24 _ -> []} 16.42/6.24 " 16.42/6.24 is transformed to 16.42/6.24 "intersectBy0 eq ys vv2 = case vv2 of { 16.42/6.24 x -> if any (eq x) ys then x : [] else []; 16.42/6.24 _ -> []} 16.42/6.24 ; 16.42/6.24 " 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (2) 16.42/6.24 Obligation: 16.42/6.24 mainModule Main 16.42/6.24 module Maybe where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 module List where { 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.24 intersect = intersectBy (==); 16.42/6.24 16.42/6.24 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.24 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.42/6.24 16.42/6.24 intersectBy0 eq ys vv2 = case vv2 of { 16.42/6.24 x-> if any (eq x) ys then x : [] else []; 16.42/6.24 _-> []; 16.42/6.24 } ; 16.42/6.24 16.42/6.24 } 16.42/6.24 module Main where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (3) CR (EQUIVALENT) 16.42/6.24 Case Reductions: 16.42/6.24 The following Case expression 16.42/6.24 "case vv2 of { 16.42/6.24 x -> if any (eq x) ys then x : [] else []; 16.42/6.24 _ -> []} 16.42/6.24 " 16.42/6.24 is transformed to 16.42/6.24 "intersectBy00 eq ys x = if any (eq x) ys then x : [] else []; 16.42/6.24 intersectBy00 eq ys _ = []; 16.42/6.24 " 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (4) 16.42/6.24 Obligation: 16.42/6.24 mainModule Main 16.42/6.24 module Maybe where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 module List where { 16.42/6.24 import qualified Main; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.24 intersect = intersectBy (==); 16.42/6.24 16.42/6.24 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.24 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.42/6.24 16.42/6.24 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.42/6.24 16.42/6.24 intersectBy00 eq ys x = if any (eq x) ys then x : [] else []; 16.42/6.24 intersectBy00 eq ys _ = []; 16.42/6.24 16.42/6.24 } 16.42/6.24 module Main where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Maybe; 16.42/6.24 import qualified Prelude; 16.42/6.24 } 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (5) IFR (EQUIVALENT) 16.42/6.24 If Reductions: 16.42/6.24 The following If expression 16.42/6.24 "if any (eq x) ys then x : [] else []" 16.42/6.24 is transformed to 16.42/6.24 "intersectBy000 x True = x : []; 16.42/6.24 intersectBy000 x False = []; 16.42/6.24 " 16.42/6.24 16.42/6.24 ---------------------------------------- 16.42/6.24 16.42/6.24 (6) 16.42/6.24 Obligation: 16.42/6.24 mainModule Main 16.42/6.24 module Maybe where { 16.42/6.24 import qualified List; 16.42/6.24 import qualified Main; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 module List where { 16.42/6.25 import qualified Main; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.25 intersect = intersectBy (==); 16.42/6.25 16.42/6.25 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.25 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.42/6.25 16.42/6.25 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.42/6.25 16.42/6.25 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.42/6.25 intersectBy00 eq ys _ = []; 16.42/6.25 16.42/6.25 intersectBy000 x True = x : []; 16.42/6.25 intersectBy000 x False = []; 16.42/6.25 16.42/6.25 } 16.42/6.25 module Main where { 16.42/6.25 import qualified List; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (7) BR (EQUIVALENT) 16.42/6.25 Replaced joker patterns by fresh variables and removed binding patterns. 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (8) 16.42/6.25 Obligation: 16.42/6.25 mainModule Main 16.42/6.25 module Maybe where { 16.42/6.25 import qualified List; 16.42/6.25 import qualified Main; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 module List where { 16.42/6.25 import qualified Main; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.25 intersect = intersectBy (==); 16.42/6.25 16.42/6.25 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.25 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.42/6.25 16.42/6.25 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.42/6.25 16.42/6.25 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.42/6.25 intersectBy00 eq ys xw = []; 16.42/6.25 16.42/6.25 intersectBy000 x True = x : []; 16.42/6.25 intersectBy000 x False = []; 16.42/6.25 16.42/6.25 } 16.42/6.25 module Main where { 16.42/6.25 import qualified List; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (9) COR (EQUIVALENT) 16.42/6.25 Cond Reductions: 16.42/6.25 The following Function with conditions 16.42/6.25 "undefined |Falseundefined; 16.42/6.25 " 16.42/6.25 is transformed to 16.42/6.25 "undefined = undefined1; 16.42/6.25 " 16.42/6.25 "undefined0 True = undefined; 16.42/6.25 " 16.42/6.25 "undefined1 = undefined0 False; 16.42/6.25 " 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (10) 16.42/6.25 Obligation: 16.42/6.25 mainModule Main 16.42/6.25 module Maybe where { 16.42/6.25 import qualified List; 16.42/6.25 import qualified Main; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 module List where { 16.42/6.25 import qualified Main; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 intersect :: Eq a => [a] -> [a] -> [a]; 16.42/6.25 intersect = intersectBy (==); 16.42/6.25 16.42/6.25 intersectBy :: (a -> a -> Bool) -> [a] -> [a] -> [a]; 16.42/6.25 intersectBy eq xs ys = concatMap (intersectBy0 eq ys) xs; 16.42/6.25 16.42/6.25 intersectBy0 eq ys vv2 = intersectBy00 eq ys vv2; 16.42/6.25 16.42/6.25 intersectBy00 eq ys x = intersectBy000 x (any (eq x) ys); 16.42/6.25 intersectBy00 eq ys xw = []; 16.42/6.25 16.42/6.25 intersectBy000 x True = x : []; 16.42/6.25 intersectBy000 x False = []; 16.42/6.25 16.42/6.25 } 16.42/6.25 module Main where { 16.42/6.25 import qualified List; 16.42/6.25 import qualified Maybe; 16.42/6.25 import qualified Prelude; 16.42/6.25 } 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (11) Narrow (SOUND) 16.42/6.25 Haskell To QDPs 16.42/6.25 16.42/6.25 digraph dp_graph { 16.42/6.25 node [outthreshold=100, inthreshold=100];1[label="List.intersect",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 16.42/6.25 3[label="List.intersect xx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 16.42/6.25 4[label="List.intersect xx3 xx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 16.42/6.25 5[label="List.intersectBy (==) xx3 xx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 16.42/6.25 6[label="concatMap (List.intersectBy0 (==) xx4) xx3",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 16.42/6.25 7[label="concat . map (List.intersectBy0 (==) xx4)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 16.42/6.25 8[label="concat (map (List.intersectBy0 (==) xx4) xx3)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 16.42/6.25 9[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) xx3)",fontsize=16,color="burlywood",shape="triangle"];726[label="xx3/xx30 : xx31",fontsize=10,color="white",style="solid",shape="box"];9 -> 726[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 726 -> 10[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 727[label="xx3/[]",fontsize=10,color="white",style="solid",shape="box"];9 -> 727[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 727 -> 11[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 10[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) (xx30 : xx31))",fontsize=16,color="black",shape="box"];10 -> 12[label="",style="solid", color="black", weight=3]; 16.42/6.25 11[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) [])",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 16.42/6.25 12[label="foldr (++) [] (List.intersectBy0 (==) xx4 xx30 : map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 16.42/6.25 13[label="foldr (++) [] []",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 16.42/6.25 14 -> 16[label="",style="dashed", color="red", weight=0]; 16.42/6.25 14[label="(++) List.intersectBy0 (==) xx4 xx30 foldr (++) [] (map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="magenta"];14 -> 17[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 15[label="[]",fontsize=16,color="green",shape="box"];17 -> 9[label="",style="dashed", color="red", weight=0]; 16.42/6.25 17[label="foldr (++) [] (map (List.intersectBy0 (==) xx4) xx31)",fontsize=16,color="magenta"];17 -> 18[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 16[label="(++) List.intersectBy0 (==) xx4 xx30 xx5",fontsize=16,color="black",shape="triangle"];16 -> 19[label="",style="solid", color="black", weight=3]; 16.42/6.25 18[label="xx31",fontsize=16,color="green",shape="box"];19[label="(++) List.intersectBy00 (==) xx4 xx30 xx5",fontsize=16,color="black",shape="box"];19 -> 20[label="",style="solid", color="black", weight=3]; 16.42/6.25 20[label="(++) List.intersectBy000 xx30 (any ((==) xx30) xx4) xx5",fontsize=16,color="black",shape="box"];20 -> 21[label="",style="solid", color="black", weight=3]; 16.42/6.25 21[label="(++) List.intersectBy000 xx30 (or . map ((==) xx30)) xx5",fontsize=16,color="black",shape="box"];21 -> 22[label="",style="solid", color="black", weight=3]; 16.42/6.25 22[label="(++) List.intersectBy000 xx30 (or (map ((==) xx30) xx4)) xx5",fontsize=16,color="black",shape="box"];22 -> 23[label="",style="solid", color="black", weight=3]; 16.42/6.25 23[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) xx4)) xx5",fontsize=16,color="burlywood",shape="triangle"];728[label="xx4/xx40 : xx41",fontsize=10,color="white",style="solid",shape="box"];23 -> 728[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 728 -> 24[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 729[label="xx4/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 729[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 729 -> 25[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 24[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) (xx40 : xx41))) xx5",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3]; 16.42/6.25 25[label="(++) List.intersectBy000 xx30 (foldr (||) False (map ((==) xx30) [])) xx5",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3]; 16.42/6.25 26[label="(++) List.intersectBy000 xx30 (foldr (||) False (((==) xx30 xx40) : map ((==) xx30) xx41)) xx5",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3]; 16.42/6.25 27[label="(++) List.intersectBy000 xx30 (foldr (||) False []) xx5",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3]; 16.42/6.25 28[label="(++) List.intersectBy000 xx30 ((||) (==) xx30 xx40 foldr (||) False (map ((==) xx30) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];730[label="xx30/Nothing",fontsize=10,color="white",style="solid",shape="box"];28 -> 730[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 730 -> 30[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 731[label="xx30/Just xx300",fontsize=10,color="white",style="solid",shape="box"];28 -> 731[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 731 -> 31[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 29[label="(++) List.intersectBy000 xx30 False xx5",fontsize=16,color="black",shape="box"];29 -> 32[label="",style="solid", color="black", weight=3]; 16.42/6.25 30[label="(++) List.intersectBy000 Nothing ((||) (==) Nothing xx40 foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];732[label="xx40/Nothing",fontsize=10,color="white",style="solid",shape="box"];30 -> 732[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 732 -> 33[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 733[label="xx40/Just xx400",fontsize=10,color="white",style="solid",shape="box"];30 -> 733[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 733 -> 34[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 31[label="(++) List.intersectBy000 (Just xx300) ((||) (==) Just xx300 xx40 foldr (||) False (map ((==) Just xx300) xx41)) xx5",fontsize=16,color="burlywood",shape="box"];734[label="xx40/Nothing",fontsize=10,color="white",style="solid",shape="box"];31 -> 734[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 734 -> 35[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 735[label="xx40/Just xx400",fontsize=10,color="white",style="solid",shape="box"];31 -> 735[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 735 -> 36[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 32[label="(++) [] xx5",fontsize=16,color="black",shape="triangle"];32 -> 37[label="",style="solid", color="black", weight=3]; 16.42/6.25 33[label="(++) List.intersectBy000 Nothing ((||) (==) Nothing Nothing foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="black",shape="box"];33 -> 38[label="",style="solid", color="black", weight=3]; 16.42/6.25 34[label="(++) List.intersectBy000 Nothing ((||) (==) Nothing Just xx400 foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="black",shape="box"];34 -> 39[label="",style="solid", color="black", weight=3]; 16.42/6.25 35[label="(++) List.intersectBy000 (Just xx300) ((||) (==) Just xx300 Nothing foldr (||) False (map ((==) Just xx300) xx41)) xx5",fontsize=16,color="black",shape="box"];35 -> 40[label="",style="solid", color="black", weight=3]; 16.42/6.25 36[label="(++) List.intersectBy000 (Just xx300) ((||) (==) Just xx300 Just xx400 foldr (||) False (map ((==) Just xx300) xx41)) xx5",fontsize=16,color="black",shape="box"];36 -> 41[label="",style="solid", color="black", weight=3]; 16.42/6.25 37[label="xx5",fontsize=16,color="green",shape="box"];38[label="(++) List.intersectBy000 Nothing ((||) True foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="black",shape="box"];38 -> 42[label="",style="solid", color="black", weight=3]; 16.42/6.25 39[label="(++) List.intersectBy000 Nothing ((||) False foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="black",shape="box"];39 -> 43[label="",style="solid", color="black", weight=3]; 16.42/6.25 40 -> 45[label="",style="dashed", color="red", weight=0]; 16.42/6.25 40[label="(++) List.intersectBy000 (Just xx300) ((||) False foldr (||) False (map ((==) Just xx300) xx41)) xx5",fontsize=16,color="magenta"];40 -> 46[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 40 -> 47[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 40 -> 48[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 40 -> 49[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 41 -> 45[label="",style="dashed", color="red", weight=0]; 16.42/6.25 41[label="(++) List.intersectBy000 (Just xx300) ((||) xx300 == xx400 foldr (||) False (map ((==) Just xx300) xx41)) xx5",fontsize=16,color="magenta"];41 -> 50[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 41 -> 51[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 41 -> 52[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 41 -> 53[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 42[label="(++) List.intersectBy000 Nothing True xx5",fontsize=16,color="black",shape="box"];42 -> 54[label="",style="solid", color="black", weight=3]; 16.42/6.25 43 -> 23[label="",style="dashed", color="red", weight=0]; 16.42/6.25 43[label="(++) List.intersectBy000 Nothing (foldr (||) False (map ((==) Nothing) xx41)) xx5",fontsize=16,color="magenta"];43 -> 55[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 43 -> 56[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 46[label="xx300",fontsize=16,color="green",shape="box"];47[label="False",fontsize=16,color="green",shape="box"];48[label="xx5",fontsize=16,color="green",shape="box"];49[label="xx41",fontsize=16,color="green",shape="box"];45[label="(++) List.intersectBy000 (Just xx11) ((||) xx12 foldr (||) False (map ((==) Just xx11) xx13)) xx14",fontsize=16,color="burlywood",shape="triangle"];736[label="xx12/False",fontsize=10,color="white",style="solid",shape="box"];45 -> 736[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 736 -> 57[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 737[label="xx12/True",fontsize=10,color="white",style="solid",shape="box"];45 -> 737[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 737 -> 58[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 50[label="xx300",fontsize=16,color="green",shape="box"];51[label="xx300 == xx400",fontsize=16,color="blue",shape="box"];738[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 738[label="",style="solid", color="blue", weight=9]; 16.42/6.25 738 -> 59[label="",style="solid", color="blue", weight=3]; 16.42/6.25 739[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 739[label="",style="solid", color="blue", weight=9]; 16.42/6.25 739 -> 60[label="",style="solid", color="blue", weight=3]; 16.42/6.25 740[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 740[label="",style="solid", color="blue", weight=9]; 16.42/6.25 740 -> 61[label="",style="solid", color="blue", weight=3]; 16.42/6.25 741[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 741[label="",style="solid", color="blue", weight=9]; 16.42/6.25 741 -> 62[label="",style="solid", color="blue", weight=3]; 16.42/6.25 742[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 742[label="",style="solid", color="blue", weight=9]; 16.42/6.25 742 -> 63[label="",style="solid", color="blue", weight=3]; 16.42/6.25 743[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 743[label="",style="solid", color="blue", weight=9]; 16.42/6.25 743 -> 64[label="",style="solid", color="blue", weight=3]; 16.42/6.25 744[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 744[label="",style="solid", color="blue", weight=9]; 16.42/6.25 744 -> 65[label="",style="solid", color="blue", weight=3]; 16.42/6.25 745[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 745[label="",style="solid", color="blue", weight=9]; 16.42/6.25 745 -> 66[label="",style="solid", color="blue", weight=3]; 16.42/6.25 746[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 746[label="",style="solid", color="blue", weight=9]; 16.42/6.25 746 -> 67[label="",style="solid", color="blue", weight=3]; 16.42/6.25 747[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 747[label="",style="solid", color="blue", weight=9]; 16.42/6.25 747 -> 68[label="",style="solid", color="blue", weight=3]; 16.42/6.25 748[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 748[label="",style="solid", color="blue", weight=9]; 16.42/6.25 748 -> 69[label="",style="solid", color="blue", weight=3]; 16.42/6.25 749[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 749[label="",style="solid", color="blue", weight=9]; 16.42/6.25 749 -> 70[label="",style="solid", color="blue", weight=3]; 16.42/6.25 750[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 750[label="",style="solid", color="blue", weight=9]; 16.42/6.25 750 -> 71[label="",style="solid", color="blue", weight=3]; 16.42/6.25 751[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];51 -> 751[label="",style="solid", color="blue", weight=9]; 16.42/6.25 751 -> 72[label="",style="solid", color="blue", weight=3]; 16.42/6.25 52[label="xx5",fontsize=16,color="green",shape="box"];53[label="xx41",fontsize=16,color="green",shape="box"];54[label="(++) (Nothing : []) xx5",fontsize=16,color="black",shape="box"];54 -> 73[label="",style="solid", color="black", weight=3]; 16.42/6.25 55[label="xx41",fontsize=16,color="green",shape="box"];56[label="Nothing",fontsize=16,color="green",shape="box"];57[label="(++) List.intersectBy000 (Just xx11) ((||) False foldr (||) False (map ((==) Just xx11) xx13)) xx14",fontsize=16,color="black",shape="box"];57 -> 74[label="",style="solid", color="black", weight=3]; 16.42/6.25 58[label="(++) List.intersectBy000 (Just xx11) ((||) True foldr (||) False (map ((==) Just xx11) xx13)) xx14",fontsize=16,color="black",shape="box"];58 -> 75[label="",style="solid", color="black", weight=3]; 16.42/6.25 59[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];752[label="xx300/()",fontsize=10,color="white",style="solid",shape="box"];59 -> 752[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 752 -> 76[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 60[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];60 -> 77[label="",style="solid", color="black", weight=3]; 16.42/6.25 61[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];753[label="xx300/xx3000 :% xx3001",fontsize=10,color="white",style="solid",shape="box"];61 -> 753[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 753 -> 78[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 62[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];62 -> 79[label="",style="solid", color="black", weight=3]; 16.42/6.25 63[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];63 -> 80[label="",style="solid", color="black", weight=3]; 16.42/6.25 64[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];754[label="xx300/Integer xx3000",fontsize=10,color="white",style="solid",shape="box"];64 -> 754[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 754 -> 81[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 65[label="xx300 == xx400",fontsize=16,color="black",shape="triangle"];65 -> 82[label="",style="solid", color="black", weight=3]; 16.42/6.25 66[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];755[label="xx300/LT",fontsize=10,color="white",style="solid",shape="box"];66 -> 755[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 755 -> 83[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 756[label="xx300/EQ",fontsize=10,color="white",style="solid",shape="box"];66 -> 756[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 756 -> 84[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 757[label="xx300/GT",fontsize=10,color="white",style="solid",shape="box"];66 -> 757[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 757 -> 85[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 67[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];758[label="xx300/Left xx3000",fontsize=10,color="white",style="solid",shape="box"];67 -> 758[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 758 -> 86[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 759[label="xx300/Right xx3000",fontsize=10,color="white",style="solid",shape="box"];67 -> 759[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 759 -> 87[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 68[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];760[label="xx300/(xx3000,xx3001,xx3002)",fontsize=10,color="white",style="solid",shape="box"];68 -> 760[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 760 -> 88[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 69[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];761[label="xx300/False",fontsize=10,color="white",style="solid",shape="box"];69 -> 761[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 761 -> 89[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 762[label="xx300/True",fontsize=10,color="white",style="solid",shape="box"];69 -> 762[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 762 -> 90[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 70[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];763[label="xx300/(xx3000,xx3001)",fontsize=10,color="white",style="solid",shape="box"];70 -> 763[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 763 -> 91[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 71[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];764[label="xx300/Nothing",fontsize=10,color="white",style="solid",shape="box"];71 -> 764[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 764 -> 92[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 765[label="xx300/Just xx3000",fontsize=10,color="white",style="solid",shape="box"];71 -> 765[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 765 -> 93[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 72[label="xx300 == xx400",fontsize=16,color="burlywood",shape="triangle"];766[label="xx300/xx3000 : xx3001",fontsize=10,color="white",style="solid",shape="box"];72 -> 766[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 766 -> 94[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 767[label="xx300/[]",fontsize=10,color="white",style="solid",shape="box"];72 -> 767[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 767 -> 95[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 73[label="Nothing : [] ++ xx5",fontsize=16,color="green",shape="box"];73 -> 96[label="",style="dashed", color="green", weight=3]; 16.42/6.25 74 -> 23[label="",style="dashed", color="red", weight=0]; 16.42/6.25 74[label="(++) List.intersectBy000 (Just xx11) (foldr (||) False (map ((==) Just xx11) xx13)) xx14",fontsize=16,color="magenta"];74 -> 97[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 74 -> 98[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 74 -> 99[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 75[label="(++) List.intersectBy000 (Just xx11) True xx14",fontsize=16,color="black",shape="box"];75 -> 100[label="",style="solid", color="black", weight=3]; 16.42/6.25 76[label="() == xx400",fontsize=16,color="burlywood",shape="box"];768[label="xx400/()",fontsize=10,color="white",style="solid",shape="box"];76 -> 768[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 768 -> 101[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 77[label="primEqInt xx300 xx400",fontsize=16,color="burlywood",shape="triangle"];769[label="xx300/Pos xx3000",fontsize=10,color="white",style="solid",shape="box"];77 -> 769[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 769 -> 102[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 770[label="xx300/Neg xx3000",fontsize=10,color="white",style="solid",shape="box"];77 -> 770[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 770 -> 103[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 78[label="xx3000 :% xx3001 == xx400",fontsize=16,color="burlywood",shape="box"];771[label="xx400/xx4000 :% xx4001",fontsize=10,color="white",style="solid",shape="box"];78 -> 771[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 771 -> 104[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 79[label="primEqFloat xx300 xx400",fontsize=16,color="burlywood",shape="box"];772[label="xx300/Float xx3000 xx3001",fontsize=10,color="white",style="solid",shape="box"];79 -> 772[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 772 -> 105[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 80[label="primEqDouble xx300 xx400",fontsize=16,color="burlywood",shape="box"];773[label="xx300/Double xx3000 xx3001",fontsize=10,color="white",style="solid",shape="box"];80 -> 773[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 773 -> 106[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 81[label="Integer xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];774[label="xx400/Integer xx4000",fontsize=10,color="white",style="solid",shape="box"];81 -> 774[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 774 -> 107[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 82[label="primEqChar xx300 xx400",fontsize=16,color="burlywood",shape="box"];775[label="xx300/Char xx3000",fontsize=10,color="white",style="solid",shape="box"];82 -> 775[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 775 -> 108[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 83[label="LT == xx400",fontsize=16,color="burlywood",shape="box"];776[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];83 -> 776[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 776 -> 109[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 777[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];83 -> 777[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 777 -> 110[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 778[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];83 -> 778[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 778 -> 111[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 84[label="EQ == xx400",fontsize=16,color="burlywood",shape="box"];779[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];84 -> 779[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 779 -> 112[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 780[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];84 -> 780[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 780 -> 113[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 781[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];84 -> 781[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 781 -> 114[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 85[label="GT == xx400",fontsize=16,color="burlywood",shape="box"];782[label="xx400/LT",fontsize=10,color="white",style="solid",shape="box"];85 -> 782[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 782 -> 115[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 783[label="xx400/EQ",fontsize=10,color="white",style="solid",shape="box"];85 -> 783[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 783 -> 116[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 784[label="xx400/GT",fontsize=10,color="white",style="solid",shape="box"];85 -> 784[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 784 -> 117[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 86[label="Left xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];785[label="xx400/Left xx4000",fontsize=10,color="white",style="solid",shape="box"];86 -> 785[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 785 -> 118[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 786[label="xx400/Right xx4000",fontsize=10,color="white",style="solid",shape="box"];86 -> 786[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 786 -> 119[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 87[label="Right xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];787[label="xx400/Left xx4000",fontsize=10,color="white",style="solid",shape="box"];87 -> 787[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 787 -> 120[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 788[label="xx400/Right xx4000",fontsize=10,color="white",style="solid",shape="box"];87 -> 788[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 788 -> 121[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 88[label="(xx3000,xx3001,xx3002) == xx400",fontsize=16,color="burlywood",shape="box"];789[label="xx400/(xx4000,xx4001,xx4002)",fontsize=10,color="white",style="solid",shape="box"];88 -> 789[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 789 -> 122[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 89[label="False == xx400",fontsize=16,color="burlywood",shape="box"];790[label="xx400/False",fontsize=10,color="white",style="solid",shape="box"];89 -> 790[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 790 -> 123[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 791[label="xx400/True",fontsize=10,color="white",style="solid",shape="box"];89 -> 791[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 791 -> 124[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 90[label="True == xx400",fontsize=16,color="burlywood",shape="box"];792[label="xx400/False",fontsize=10,color="white",style="solid",shape="box"];90 -> 792[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 792 -> 125[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 793[label="xx400/True",fontsize=10,color="white",style="solid",shape="box"];90 -> 793[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 793 -> 126[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 91[label="(xx3000,xx3001) == xx400",fontsize=16,color="burlywood",shape="box"];794[label="xx400/(xx4000,xx4001)",fontsize=10,color="white",style="solid",shape="box"];91 -> 794[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 794 -> 127[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 92[label="Nothing == xx400",fontsize=16,color="burlywood",shape="box"];795[label="xx400/Nothing",fontsize=10,color="white",style="solid",shape="box"];92 -> 795[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 795 -> 128[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 796[label="xx400/Just xx4000",fontsize=10,color="white",style="solid",shape="box"];92 -> 796[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 796 -> 129[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 93[label="Just xx3000 == xx400",fontsize=16,color="burlywood",shape="box"];797[label="xx400/Nothing",fontsize=10,color="white",style="solid",shape="box"];93 -> 797[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 797 -> 130[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 798[label="xx400/Just xx4000",fontsize=10,color="white",style="solid",shape="box"];93 -> 798[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 798 -> 131[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 94[label="xx3000 : xx3001 == xx400",fontsize=16,color="burlywood",shape="box"];799[label="xx400/xx4000 : xx4001",fontsize=10,color="white",style="solid",shape="box"];94 -> 799[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 799 -> 132[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 800[label="xx400/[]",fontsize=10,color="white",style="solid",shape="box"];94 -> 800[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 800 -> 133[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 95[label="[] == xx400",fontsize=16,color="burlywood",shape="box"];801[label="xx400/xx4000 : xx4001",fontsize=10,color="white",style="solid",shape="box"];95 -> 801[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 801 -> 134[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 802[label="xx400/[]",fontsize=10,color="white",style="solid",shape="box"];95 -> 802[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 802 -> 135[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 96 -> 32[label="",style="dashed", color="red", weight=0]; 16.42/6.25 96[label="[] ++ xx5",fontsize=16,color="magenta"];97[label="xx13",fontsize=16,color="green",shape="box"];98[label="Just xx11",fontsize=16,color="green",shape="box"];99[label="xx14",fontsize=16,color="green",shape="box"];100[label="(++) (Just xx11 : []) xx14",fontsize=16,color="black",shape="box"];100 -> 136[label="",style="solid", color="black", weight=3]; 16.42/6.25 101[label="() == ()",fontsize=16,color="black",shape="box"];101 -> 137[label="",style="solid", color="black", weight=3]; 16.42/6.25 102[label="primEqInt (Pos xx3000) xx400",fontsize=16,color="burlywood",shape="box"];803[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];102 -> 803[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 803 -> 138[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 804[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];102 -> 804[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 804 -> 139[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 103[label="primEqInt (Neg xx3000) xx400",fontsize=16,color="burlywood",shape="box"];805[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];103 -> 805[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 805 -> 140[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 806[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];103 -> 806[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 806 -> 141[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 104[label="xx3000 :% xx3001 == xx4000 :% xx4001",fontsize=16,color="black",shape="box"];104 -> 142[label="",style="solid", color="black", weight=3]; 16.42/6.25 105[label="primEqFloat (Float xx3000 xx3001) xx400",fontsize=16,color="burlywood",shape="box"];807[label="xx400/Float xx4000 xx4001",fontsize=10,color="white",style="solid",shape="box"];105 -> 807[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 807 -> 143[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 106[label="primEqDouble (Double xx3000 xx3001) xx400",fontsize=16,color="burlywood",shape="box"];808[label="xx400/Double xx4000 xx4001",fontsize=10,color="white",style="solid",shape="box"];106 -> 808[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 808 -> 144[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 107[label="Integer xx3000 == Integer xx4000",fontsize=16,color="black",shape="box"];107 -> 145[label="",style="solid", color="black", weight=3]; 16.42/6.25 108[label="primEqChar (Char xx3000) xx400",fontsize=16,color="burlywood",shape="box"];809[label="xx400/Char xx4000",fontsize=10,color="white",style="solid",shape="box"];108 -> 809[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 809 -> 146[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 109[label="LT == LT",fontsize=16,color="black",shape="box"];109 -> 147[label="",style="solid", color="black", weight=3]; 16.42/6.25 110[label="LT == EQ",fontsize=16,color="black",shape="box"];110 -> 148[label="",style="solid", color="black", weight=3]; 16.42/6.25 111[label="LT == GT",fontsize=16,color="black",shape="box"];111 -> 149[label="",style="solid", color="black", weight=3]; 16.42/6.25 112[label="EQ == LT",fontsize=16,color="black",shape="box"];112 -> 150[label="",style="solid", color="black", weight=3]; 16.42/6.25 113[label="EQ == EQ",fontsize=16,color="black",shape="box"];113 -> 151[label="",style="solid", color="black", weight=3]; 16.42/6.25 114[label="EQ == GT",fontsize=16,color="black",shape="box"];114 -> 152[label="",style="solid", color="black", weight=3]; 16.42/6.25 115[label="GT == LT",fontsize=16,color="black",shape="box"];115 -> 153[label="",style="solid", color="black", weight=3]; 16.42/6.25 116[label="GT == EQ",fontsize=16,color="black",shape="box"];116 -> 154[label="",style="solid", color="black", weight=3]; 16.42/6.25 117[label="GT == GT",fontsize=16,color="black",shape="box"];117 -> 155[label="",style="solid", color="black", weight=3]; 16.42/6.25 118[label="Left xx3000 == Left xx4000",fontsize=16,color="black",shape="box"];118 -> 156[label="",style="solid", color="black", weight=3]; 16.42/6.25 119[label="Left xx3000 == Right xx4000",fontsize=16,color="black",shape="box"];119 -> 157[label="",style="solid", color="black", weight=3]; 16.42/6.25 120[label="Right xx3000 == Left xx4000",fontsize=16,color="black",shape="box"];120 -> 158[label="",style="solid", color="black", weight=3]; 16.42/6.25 121[label="Right xx3000 == Right xx4000",fontsize=16,color="black",shape="box"];121 -> 159[label="",style="solid", color="black", weight=3]; 16.42/6.25 122[label="(xx3000,xx3001,xx3002) == (xx4000,xx4001,xx4002)",fontsize=16,color="black",shape="box"];122 -> 160[label="",style="solid", color="black", weight=3]; 16.42/6.25 123[label="False == False",fontsize=16,color="black",shape="box"];123 -> 161[label="",style="solid", color="black", weight=3]; 16.42/6.25 124[label="False == True",fontsize=16,color="black",shape="box"];124 -> 162[label="",style="solid", color="black", weight=3]; 16.42/6.25 125[label="True == False",fontsize=16,color="black",shape="box"];125 -> 163[label="",style="solid", color="black", weight=3]; 16.42/6.25 126[label="True == True",fontsize=16,color="black",shape="box"];126 -> 164[label="",style="solid", color="black", weight=3]; 16.42/6.25 127[label="(xx3000,xx3001) == (xx4000,xx4001)",fontsize=16,color="black",shape="box"];127 -> 165[label="",style="solid", color="black", weight=3]; 16.42/6.25 128[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];128 -> 166[label="",style="solid", color="black", weight=3]; 16.42/6.25 129[label="Nothing == Just xx4000",fontsize=16,color="black",shape="box"];129 -> 167[label="",style="solid", color="black", weight=3]; 16.42/6.25 130[label="Just xx3000 == Nothing",fontsize=16,color="black",shape="box"];130 -> 168[label="",style="solid", color="black", weight=3]; 16.42/6.25 131[label="Just xx3000 == Just xx4000",fontsize=16,color="black",shape="box"];131 -> 169[label="",style="solid", color="black", weight=3]; 16.42/6.25 132[label="xx3000 : xx3001 == xx4000 : xx4001",fontsize=16,color="black",shape="box"];132 -> 170[label="",style="solid", color="black", weight=3]; 16.42/6.25 133[label="xx3000 : xx3001 == []",fontsize=16,color="black",shape="box"];133 -> 171[label="",style="solid", color="black", weight=3]; 16.42/6.25 134[label="[] == xx4000 : xx4001",fontsize=16,color="black",shape="box"];134 -> 172[label="",style="solid", color="black", weight=3]; 16.42/6.25 135[label="[] == []",fontsize=16,color="black",shape="box"];135 -> 173[label="",style="solid", color="black", weight=3]; 16.42/6.25 136[label="Just xx11 : [] ++ xx14",fontsize=16,color="green",shape="box"];136 -> 174[label="",style="dashed", color="green", weight=3]; 16.42/6.25 137[label="True",fontsize=16,color="green",shape="box"];138[label="primEqInt (Pos (Succ xx30000)) xx400",fontsize=16,color="burlywood",shape="box"];810[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];138 -> 810[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 810 -> 175[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 811[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];138 -> 811[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 811 -> 176[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 139[label="primEqInt (Pos Zero) xx400",fontsize=16,color="burlywood",shape="box"];812[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];139 -> 812[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 812 -> 177[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 813[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];139 -> 813[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 813 -> 178[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 140[label="primEqInt (Neg (Succ xx30000)) xx400",fontsize=16,color="burlywood",shape="box"];814[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];140 -> 814[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 814 -> 179[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 815[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];140 -> 815[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 815 -> 180[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 141[label="primEqInt (Neg Zero) xx400",fontsize=16,color="burlywood",shape="box"];816[label="xx400/Pos xx4000",fontsize=10,color="white",style="solid",shape="box"];141 -> 816[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 816 -> 181[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 817[label="xx400/Neg xx4000",fontsize=10,color="white",style="solid",shape="box"];141 -> 817[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 817 -> 182[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 142 -> 268[label="",style="dashed", color="red", weight=0]; 16.42/6.25 142[label="xx3000 == xx4000 && xx3001 == xx4001",fontsize=16,color="magenta"];142 -> 269[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 142 -> 270[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 143[label="primEqFloat (Float xx3000 xx3001) (Float xx4000 xx4001)",fontsize=16,color="black",shape="box"];143 -> 193[label="",style="solid", color="black", weight=3]; 16.42/6.25 144[label="primEqDouble (Double xx3000 xx3001) (Double xx4000 xx4001)",fontsize=16,color="black",shape="box"];144 -> 194[label="",style="solid", color="black", weight=3]; 16.42/6.25 145 -> 77[label="",style="dashed", color="red", weight=0]; 16.42/6.25 145[label="primEqInt xx3000 xx4000",fontsize=16,color="magenta"];145 -> 195[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 145 -> 196[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 146[label="primEqChar (Char xx3000) (Char xx4000)",fontsize=16,color="black",shape="box"];146 -> 197[label="",style="solid", color="black", weight=3]; 16.42/6.25 147[label="True",fontsize=16,color="green",shape="box"];148[label="False",fontsize=16,color="green",shape="box"];149[label="False",fontsize=16,color="green",shape="box"];150[label="False",fontsize=16,color="green",shape="box"];151[label="True",fontsize=16,color="green",shape="box"];152[label="False",fontsize=16,color="green",shape="box"];153[label="False",fontsize=16,color="green",shape="box"];154[label="False",fontsize=16,color="green",shape="box"];155[label="True",fontsize=16,color="green",shape="box"];156[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];818[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 818[label="",style="solid", color="blue", weight=9]; 16.42/6.25 818 -> 198[label="",style="solid", color="blue", weight=3]; 16.42/6.25 819[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 819[label="",style="solid", color="blue", weight=9]; 16.42/6.25 819 -> 199[label="",style="solid", color="blue", weight=3]; 16.42/6.25 820[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 820[label="",style="solid", color="blue", weight=9]; 16.42/6.25 820 -> 200[label="",style="solid", color="blue", weight=3]; 16.42/6.25 821[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 821[label="",style="solid", color="blue", weight=9]; 16.42/6.25 821 -> 201[label="",style="solid", color="blue", weight=3]; 16.42/6.25 822[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 822[label="",style="solid", color="blue", weight=9]; 16.42/6.25 822 -> 202[label="",style="solid", color="blue", weight=3]; 16.42/6.25 823[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 823[label="",style="solid", color="blue", weight=9]; 16.42/6.25 823 -> 203[label="",style="solid", color="blue", weight=3]; 16.42/6.25 824[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 824[label="",style="solid", color="blue", weight=9]; 16.42/6.25 824 -> 204[label="",style="solid", color="blue", weight=3]; 16.42/6.25 825[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 825[label="",style="solid", color="blue", weight=9]; 16.42/6.25 825 -> 205[label="",style="solid", color="blue", weight=3]; 16.42/6.25 826[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 826[label="",style="solid", color="blue", weight=9]; 16.42/6.25 826 -> 206[label="",style="solid", color="blue", weight=3]; 16.42/6.25 827[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 827[label="",style="solid", color="blue", weight=9]; 16.42/6.25 827 -> 207[label="",style="solid", color="blue", weight=3]; 16.42/6.25 828[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 828[label="",style="solid", color="blue", weight=9]; 16.42/6.25 828 -> 208[label="",style="solid", color="blue", weight=3]; 16.42/6.25 829[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 829[label="",style="solid", color="blue", weight=9]; 16.42/6.25 829 -> 209[label="",style="solid", color="blue", weight=3]; 16.42/6.25 830[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 830[label="",style="solid", color="blue", weight=9]; 16.42/6.25 830 -> 210[label="",style="solid", color="blue", weight=3]; 16.42/6.25 831[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];156 -> 831[label="",style="solid", color="blue", weight=9]; 16.42/6.25 831 -> 211[label="",style="solid", color="blue", weight=3]; 16.42/6.25 157[label="False",fontsize=16,color="green",shape="box"];158[label="False",fontsize=16,color="green",shape="box"];159[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];832[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 832[label="",style="solid", color="blue", weight=9]; 16.42/6.25 832 -> 212[label="",style="solid", color="blue", weight=3]; 16.42/6.25 833[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 833[label="",style="solid", color="blue", weight=9]; 16.42/6.25 833 -> 213[label="",style="solid", color="blue", weight=3]; 16.42/6.25 834[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 834[label="",style="solid", color="blue", weight=9]; 16.42/6.25 834 -> 214[label="",style="solid", color="blue", weight=3]; 16.42/6.25 835[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 835[label="",style="solid", color="blue", weight=9]; 16.42/6.25 835 -> 215[label="",style="solid", color="blue", weight=3]; 16.42/6.25 836[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 836[label="",style="solid", color="blue", weight=9]; 16.42/6.25 836 -> 216[label="",style="solid", color="blue", weight=3]; 16.42/6.25 837[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 837[label="",style="solid", color="blue", weight=9]; 16.42/6.25 837 -> 217[label="",style="solid", color="blue", weight=3]; 16.42/6.25 838[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 838[label="",style="solid", color="blue", weight=9]; 16.42/6.25 838 -> 218[label="",style="solid", color="blue", weight=3]; 16.42/6.25 839[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 839[label="",style="solid", color="blue", weight=9]; 16.42/6.25 839 -> 219[label="",style="solid", color="blue", weight=3]; 16.42/6.25 840[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 840[label="",style="solid", color="blue", weight=9]; 16.42/6.25 840 -> 220[label="",style="solid", color="blue", weight=3]; 16.42/6.25 841[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 841[label="",style="solid", color="blue", weight=9]; 16.42/6.25 841 -> 221[label="",style="solid", color="blue", weight=3]; 16.42/6.25 842[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 842[label="",style="solid", color="blue", weight=9]; 16.42/6.25 842 -> 222[label="",style="solid", color="blue", weight=3]; 16.42/6.25 843[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 843[label="",style="solid", color="blue", weight=9]; 16.42/6.25 843 -> 223[label="",style="solid", color="blue", weight=3]; 16.42/6.25 844[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 844[label="",style="solid", color="blue", weight=9]; 16.42/6.25 844 -> 224[label="",style="solid", color="blue", weight=3]; 16.42/6.25 845[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];159 -> 845[label="",style="solid", color="blue", weight=9]; 16.42/6.25 845 -> 225[label="",style="solid", color="blue", weight=3]; 16.42/6.25 160 -> 268[label="",style="dashed", color="red", weight=0]; 16.42/6.25 160[label="xx3000 == xx4000 && xx3001 == xx4001 && xx3002 == xx4002",fontsize=16,color="magenta"];160 -> 271[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 160 -> 272[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 161[label="True",fontsize=16,color="green",shape="box"];162[label="False",fontsize=16,color="green",shape="box"];163[label="False",fontsize=16,color="green",shape="box"];164[label="True",fontsize=16,color="green",shape="box"];165 -> 268[label="",style="dashed", color="red", weight=0]; 16.42/6.25 165[label="xx3000 == xx4000 && xx3001 == xx4001",fontsize=16,color="magenta"];165 -> 273[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 165 -> 274[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 166[label="True",fontsize=16,color="green",shape="box"];167[label="False",fontsize=16,color="green",shape="box"];168[label="False",fontsize=16,color="green",shape="box"];169[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];846[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 846[label="",style="solid", color="blue", weight=9]; 16.42/6.25 846 -> 237[label="",style="solid", color="blue", weight=3]; 16.42/6.25 847[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 847[label="",style="solid", color="blue", weight=9]; 16.42/6.25 847 -> 238[label="",style="solid", color="blue", weight=3]; 16.42/6.25 848[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 848[label="",style="solid", color="blue", weight=9]; 16.42/6.25 848 -> 239[label="",style="solid", color="blue", weight=3]; 16.42/6.25 849[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 849[label="",style="solid", color="blue", weight=9]; 16.42/6.25 849 -> 240[label="",style="solid", color="blue", weight=3]; 16.42/6.25 850[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 850[label="",style="solid", color="blue", weight=9]; 16.42/6.25 850 -> 241[label="",style="solid", color="blue", weight=3]; 16.42/6.25 851[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 851[label="",style="solid", color="blue", weight=9]; 16.42/6.25 851 -> 242[label="",style="solid", color="blue", weight=3]; 16.42/6.25 852[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 852[label="",style="solid", color="blue", weight=9]; 16.42/6.25 852 -> 243[label="",style="solid", color="blue", weight=3]; 16.42/6.25 853[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 853[label="",style="solid", color="blue", weight=9]; 16.42/6.25 853 -> 244[label="",style="solid", color="blue", weight=3]; 16.42/6.25 854[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 854[label="",style="solid", color="blue", weight=9]; 16.42/6.25 854 -> 245[label="",style="solid", color="blue", weight=3]; 16.42/6.25 855[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 855[label="",style="solid", color="blue", weight=9]; 16.42/6.25 855 -> 246[label="",style="solid", color="blue", weight=3]; 16.42/6.25 856[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 856[label="",style="solid", color="blue", weight=9]; 16.42/6.25 856 -> 247[label="",style="solid", color="blue", weight=3]; 16.42/6.25 857[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 857[label="",style="solid", color="blue", weight=9]; 16.42/6.25 857 -> 248[label="",style="solid", color="blue", weight=3]; 16.42/6.25 858[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 858[label="",style="solid", color="blue", weight=9]; 16.42/6.25 858 -> 249[label="",style="solid", color="blue", weight=3]; 16.42/6.25 859[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];169 -> 859[label="",style="solid", color="blue", weight=9]; 16.42/6.25 859 -> 250[label="",style="solid", color="blue", weight=3]; 16.42/6.25 170 -> 268[label="",style="dashed", color="red", weight=0]; 16.42/6.25 170[label="xx3000 == xx4000 && xx3001 == xx4001",fontsize=16,color="magenta"];170 -> 275[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 170 -> 276[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 171[label="False",fontsize=16,color="green",shape="box"];172[label="False",fontsize=16,color="green",shape="box"];173[label="True",fontsize=16,color="green",shape="box"];174 -> 32[label="",style="dashed", color="red", weight=0]; 16.42/6.25 174[label="[] ++ xx14",fontsize=16,color="magenta"];174 -> 251[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 175[label="primEqInt (Pos (Succ xx30000)) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];860[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];175 -> 860[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 860 -> 252[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 861[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];175 -> 861[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 861 -> 253[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 176[label="primEqInt (Pos (Succ xx30000)) (Neg xx4000)",fontsize=16,color="black",shape="box"];176 -> 254[label="",style="solid", color="black", weight=3]; 16.42/6.25 177[label="primEqInt (Pos Zero) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];862[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];177 -> 862[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 862 -> 255[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 863[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];177 -> 863[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 863 -> 256[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 178[label="primEqInt (Pos Zero) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];864[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];178 -> 864[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 864 -> 257[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 865[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];178 -> 865[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 865 -> 258[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 179[label="primEqInt (Neg (Succ xx30000)) (Pos xx4000)",fontsize=16,color="black",shape="box"];179 -> 259[label="",style="solid", color="black", weight=3]; 16.42/6.25 180[label="primEqInt (Neg (Succ xx30000)) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];866[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];180 -> 866[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 866 -> 260[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 867[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 867[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 867 -> 261[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 181[label="primEqInt (Neg Zero) (Pos xx4000)",fontsize=16,color="burlywood",shape="box"];868[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];181 -> 868[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 868 -> 262[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 869[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];181 -> 869[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 869 -> 263[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 182[label="primEqInt (Neg Zero) (Neg xx4000)",fontsize=16,color="burlywood",shape="box"];870[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];182 -> 870[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 870 -> 264[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 871[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];182 -> 871[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 871 -> 265[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 269[label="xx3001 == xx4001",fontsize=16,color="blue",shape="box"];872[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 872[label="",style="solid", color="blue", weight=9]; 16.42/6.25 872 -> 281[label="",style="solid", color="blue", weight=3]; 16.42/6.25 873[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 873[label="",style="solid", color="blue", weight=9]; 16.42/6.25 873 -> 282[label="",style="solid", color="blue", weight=3]; 16.42/6.25 270[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];874[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 874[label="",style="solid", color="blue", weight=9]; 16.42/6.25 874 -> 283[label="",style="solid", color="blue", weight=3]; 16.42/6.25 875[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];270 -> 875[label="",style="solid", color="blue", weight=9]; 16.42/6.25 875 -> 284[label="",style="solid", color="blue", weight=3]; 16.42/6.25 268[label="xx26 && xx27",fontsize=16,color="burlywood",shape="triangle"];876[label="xx26/False",fontsize=10,color="white",style="solid",shape="box"];268 -> 876[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 876 -> 285[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 877[label="xx26/True",fontsize=10,color="white",style="solid",shape="box"];268 -> 877[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 877 -> 286[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 193 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 193[label="xx3000 * xx4001 == xx3001 * xx4000",fontsize=16,color="magenta"];193 -> 287[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 193 -> 288[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 194 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 194[label="xx3000 * xx4001 == xx3001 * xx4000",fontsize=16,color="magenta"];194 -> 289[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 194 -> 290[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 195[label="xx4000",fontsize=16,color="green",shape="box"];196[label="xx3000",fontsize=16,color="green",shape="box"];197[label="primEqNat xx3000 xx4000",fontsize=16,color="burlywood",shape="triangle"];878[label="xx3000/Succ xx30000",fontsize=10,color="white",style="solid",shape="box"];197 -> 878[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 878 -> 291[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 879[label="xx3000/Zero",fontsize=10,color="white",style="solid",shape="box"];197 -> 879[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 879 -> 292[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 198 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 198[label="xx3000 == xx4000",fontsize=16,color="magenta"];198 -> 293[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 198 -> 294[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 199 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 199[label="xx3000 == xx4000",fontsize=16,color="magenta"];199 -> 295[label="",style="dashed", color="magenta", weight=3]; 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203[label="xx3000 == xx4000",fontsize=16,color="magenta"];203 -> 303[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 203 -> 304[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 204 -> 65[label="",style="dashed", color="red", weight=0]; 16.42/6.25 204[label="xx3000 == xx4000",fontsize=16,color="magenta"];204 -> 305[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 204 -> 306[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 205 -> 66[label="",style="dashed", color="red", weight=0]; 16.42/6.25 205[label="xx3000 == xx4000",fontsize=16,color="magenta"];205 -> 307[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 205 -> 308[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 206 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 206[label="xx3000 == xx4000",fontsize=16,color="magenta"];206 -> 309[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 206 -> 310[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 207 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 207[label="xx3000 == xx4000",fontsize=16,color="magenta"];207 -> 311[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 207 -> 312[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 208 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 208[label="xx3000 == xx4000",fontsize=16,color="magenta"];208 -> 313[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 208 -> 314[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 209 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 209[label="xx3000 == xx4000",fontsize=16,color="magenta"];209 -> 315[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 209 -> 316[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 210 -> 71[label="",style="dashed", color="red", weight=0]; 16.42/6.25 210[label="xx3000 == xx4000",fontsize=16,color="magenta"];210 -> 317[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 210 -> 318[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 211 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 211[label="xx3000 == xx4000",fontsize=16,color="magenta"];211 -> 319[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 211 -> 320[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 212 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 212[label="xx3000 == xx4000",fontsize=16,color="magenta"];212 -> 321[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 212 -> 322[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 213 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 213[label="xx3000 == xx4000",fontsize=16,color="magenta"];213 -> 323[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 213 -> 324[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 214 -> 61[label="",style="dashed", color="red", weight=0]; 16.42/6.25 214[label="xx3000 == xx4000",fontsize=16,color="magenta"];214 -> 325[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 214 -> 326[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 215 -> 62[label="",style="dashed", color="red", weight=0]; 16.42/6.25 215[label="xx3000 == xx4000",fontsize=16,color="magenta"];215 -> 327[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 215 -> 328[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 216 -> 63[label="",style="dashed", color="red", weight=0]; 16.42/6.25 216[label="xx3000 == xx4000",fontsize=16,color="magenta"];216 -> 329[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 216 -> 330[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 217 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 217[label="xx3000 == xx4000",fontsize=16,color="magenta"];217 -> 331[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 217 -> 332[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 218 -> 65[label="",style="dashed", color="red", weight=0]; 16.42/6.25 218[label="xx3000 == xx4000",fontsize=16,color="magenta"];218 -> 333[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 218 -> 334[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 219 -> 66[label="",style="dashed", color="red", weight=0]; 16.42/6.25 219[label="xx3000 == xx4000",fontsize=16,color="magenta"];219 -> 335[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 219 -> 336[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 220 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 220[label="xx3000 == xx4000",fontsize=16,color="magenta"];220 -> 337[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 220 -> 338[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 221 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 221[label="xx3000 == xx4000",fontsize=16,color="magenta"];221 -> 339[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 221 -> 340[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 222 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 222[label="xx3000 == xx4000",fontsize=16,color="magenta"];222 -> 341[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 222 -> 342[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 223 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 223[label="xx3000 == xx4000",fontsize=16,color="magenta"];223 -> 343[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 223 -> 344[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 224 -> 71[label="",style="dashed", color="red", weight=0]; 16.42/6.25 224[label="xx3000 == xx4000",fontsize=16,color="magenta"];224 -> 345[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 224 -> 346[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 225 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 225[label="xx3000 == xx4000",fontsize=16,color="magenta"];225 -> 347[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 225 -> 348[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 271 -> 268[label="",style="dashed", color="red", weight=0]; 16.42/6.25 271[label="xx3001 == xx4001 && xx3002 == xx4002",fontsize=16,color="magenta"];271 -> 349[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 271 -> 350[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 272[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];880[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 880[label="",style="solid", color="blue", weight=9]; 16.42/6.25 880 -> 351[label="",style="solid", color="blue", weight=3]; 16.42/6.25 881[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 881[label="",style="solid", color="blue", weight=9]; 16.42/6.25 881 -> 352[label="",style="solid", color="blue", weight=3]; 16.42/6.25 882[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 882[label="",style="solid", color="blue", weight=9]; 16.42/6.25 882 -> 353[label="",style="solid", color="blue", weight=3]; 16.42/6.25 883[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 883[label="",style="solid", color="blue", weight=9]; 16.42/6.25 883 -> 354[label="",style="solid", color="blue", weight=3]; 16.42/6.25 884[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 884[label="",style="solid", color="blue", weight=9]; 16.42/6.25 884 -> 355[label="",style="solid", color="blue", weight=3]; 16.42/6.25 885[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 885[label="",style="solid", color="blue", weight=9]; 16.42/6.25 885 -> 356[label="",style="solid", color="blue", weight=3]; 16.42/6.25 886[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 886[label="",style="solid", color="blue", weight=9]; 16.42/6.25 886 -> 357[label="",style="solid", color="blue", weight=3]; 16.42/6.25 887[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 887[label="",style="solid", color="blue", weight=9]; 16.42/6.25 887 -> 358[label="",style="solid", color="blue", weight=3]; 16.42/6.25 888[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 888[label="",style="solid", color="blue", weight=9]; 16.42/6.25 888 -> 359[label="",style="solid", color="blue", weight=3]; 16.42/6.25 889[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 889[label="",style="solid", color="blue", weight=9]; 16.42/6.25 889 -> 360[label="",style="solid", color="blue", weight=3]; 16.42/6.25 890[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 890[label="",style="solid", color="blue", weight=9]; 16.42/6.25 890 -> 361[label="",style="solid", color="blue", weight=3]; 16.42/6.25 891[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 891[label="",style="solid", color="blue", weight=9]; 16.42/6.25 891 -> 362[label="",style="solid", color="blue", weight=3]; 16.42/6.25 892[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 892[label="",style="solid", color="blue", weight=9]; 16.42/6.25 892 -> 363[label="",style="solid", color="blue", weight=3]; 16.42/6.25 893[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];272 -> 893[label="",style="solid", color="blue", weight=9]; 16.42/6.25 893 -> 364[label="",style="solid", color="blue", weight=3]; 16.42/6.25 273[label="xx3001 == xx4001",fontsize=16,color="blue",shape="box"];894[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 894[label="",style="solid", color="blue", weight=9]; 16.42/6.25 894 -> 365[label="",style="solid", color="blue", weight=3]; 16.42/6.25 895[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 895[label="",style="solid", color="blue", weight=9]; 16.42/6.25 895 -> 366[label="",style="solid", color="blue", weight=3]; 16.42/6.25 896[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 896[label="",style="solid", color="blue", weight=9]; 16.42/6.25 896 -> 367[label="",style="solid", color="blue", weight=3]; 16.42/6.25 897[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 897[label="",style="solid", color="blue", weight=9]; 16.42/6.25 897 -> 368[label="",style="solid", color="blue", weight=3]; 16.42/6.25 898[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 898[label="",style="solid", color="blue", weight=9]; 16.42/6.25 898 -> 369[label="",style="solid", color="blue", weight=3]; 16.42/6.25 899[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 899[label="",style="solid", color="blue", weight=9]; 16.42/6.25 899 -> 370[label="",style="solid", color="blue", weight=3]; 16.42/6.25 900[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 900[label="",style="solid", color="blue", weight=9]; 16.42/6.25 900 -> 371[label="",style="solid", color="blue", weight=3]; 16.42/6.25 901[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 901[label="",style="solid", color="blue", weight=9]; 16.42/6.25 901 -> 372[label="",style="solid", color="blue", weight=3]; 16.42/6.25 902[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 902[label="",style="solid", color="blue", weight=9]; 16.42/6.25 902 -> 373[label="",style="solid", color="blue", weight=3]; 16.42/6.25 903[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 903[label="",style="solid", color="blue", weight=9]; 16.42/6.25 903 -> 374[label="",style="solid", color="blue", weight=3]; 16.42/6.25 904[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 904[label="",style="solid", color="blue", weight=9]; 16.42/6.25 904 -> 375[label="",style="solid", color="blue", weight=3]; 16.42/6.25 905[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 905[label="",style="solid", color="blue", weight=9]; 16.42/6.25 905 -> 376[label="",style="solid", color="blue", weight=3]; 16.42/6.25 906[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 906[label="",style="solid", color="blue", weight=9]; 16.42/6.25 906 -> 377[label="",style="solid", color="blue", weight=3]; 16.42/6.25 907[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];273 -> 907[label="",style="solid", color="blue", weight=9]; 16.42/6.25 907 -> 378[label="",style="solid", color="blue", weight=3]; 16.42/6.25 274[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];908[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 908[label="",style="solid", color="blue", weight=9]; 16.42/6.25 908 -> 379[label="",style="solid", color="blue", weight=3]; 16.42/6.25 909[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 909[label="",style="solid", color="blue", weight=9]; 16.42/6.25 909 -> 380[label="",style="solid", color="blue", weight=3]; 16.42/6.25 910[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 910[label="",style="solid", color="blue", weight=9]; 16.42/6.25 910 -> 381[label="",style="solid", color="blue", weight=3]; 16.42/6.25 911[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 911[label="",style="solid", color="blue", weight=9]; 16.42/6.25 911 -> 382[label="",style="solid", color="blue", weight=3]; 16.42/6.25 912[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 912[label="",style="solid", color="blue", weight=9]; 16.42/6.25 912 -> 383[label="",style="solid", color="blue", weight=3]; 16.42/6.25 913[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 913[label="",style="solid", color="blue", weight=9]; 16.42/6.25 913 -> 384[label="",style="solid", color="blue", weight=3]; 16.42/6.25 914[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 914[label="",style="solid", color="blue", weight=9]; 16.42/6.25 914 -> 385[label="",style="solid", color="blue", weight=3]; 16.42/6.25 915[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 915[label="",style="solid", color="blue", weight=9]; 16.42/6.25 915 -> 386[label="",style="solid", color="blue", weight=3]; 16.42/6.25 916[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 916[label="",style="solid", color="blue", weight=9]; 16.42/6.25 916 -> 387[label="",style="solid", color="blue", weight=3]; 16.42/6.25 917[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 917[label="",style="solid", color="blue", weight=9]; 16.42/6.25 917 -> 388[label="",style="solid", color="blue", weight=3]; 16.42/6.25 918[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 918[label="",style="solid", color="blue", weight=9]; 16.42/6.25 918 -> 389[label="",style="solid", color="blue", weight=3]; 16.42/6.25 919[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 919[label="",style="solid", color="blue", weight=9]; 16.42/6.25 919 -> 390[label="",style="solid", color="blue", weight=3]; 16.42/6.25 920[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 920[label="",style="solid", color="blue", weight=9]; 16.42/6.25 920 -> 391[label="",style="solid", color="blue", weight=3]; 16.42/6.25 921[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];274 -> 921[label="",style="solid", color="blue", weight=9]; 16.42/6.25 921 -> 392[label="",style="solid", color="blue", weight=3]; 16.42/6.25 237 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 237[label="xx3000 == xx4000",fontsize=16,color="magenta"];237 -> 393[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 237 -> 394[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 238 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 238[label="xx3000 == xx4000",fontsize=16,color="magenta"];238 -> 395[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 238 -> 396[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 239 -> 61[label="",style="dashed", color="red", weight=0]; 16.42/6.25 239[label="xx3000 == xx4000",fontsize=16,color="magenta"];239 -> 397[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 239 -> 398[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 240 -> 62[label="",style="dashed", color="red", weight=0]; 16.42/6.25 240[label="xx3000 == xx4000",fontsize=16,color="magenta"];240 -> 399[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 240 -> 400[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 241 -> 63[label="",style="dashed", color="red", weight=0]; 16.42/6.25 241[label="xx3000 == xx4000",fontsize=16,color="magenta"];241 -> 401[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 241 -> 402[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 242 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 242[label="xx3000 == xx4000",fontsize=16,color="magenta"];242 -> 403[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 242 -> 404[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 243 -> 65[label="",style="dashed", color="red", weight=0]; 16.42/6.25 243[label="xx3000 == xx4000",fontsize=16,color="magenta"];243 -> 405[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 243 -> 406[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 244 -> 66[label="",style="dashed", color="red", weight=0]; 16.42/6.25 244[label="xx3000 == xx4000",fontsize=16,color="magenta"];244 -> 407[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 244 -> 408[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 245 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 245[label="xx3000 == xx4000",fontsize=16,color="magenta"];245 -> 409[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 245 -> 410[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 246 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 246[label="xx3000 == xx4000",fontsize=16,color="magenta"];246 -> 411[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 246 -> 412[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 247 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 247[label="xx3000 == xx4000",fontsize=16,color="magenta"];247 -> 413[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 247 -> 414[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 248 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 248[label="xx3000 == xx4000",fontsize=16,color="magenta"];248 -> 415[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 248 -> 416[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 249 -> 71[label="",style="dashed", color="red", weight=0]; 16.42/6.25 249[label="xx3000 == xx4000",fontsize=16,color="magenta"];249 -> 417[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 249 -> 418[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 250 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 250[label="xx3000 == xx4000",fontsize=16,color="magenta"];250 -> 419[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 250 -> 420[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 275 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 275[label="xx3001 == xx4001",fontsize=16,color="magenta"];275 -> 421[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 275 -> 422[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 276[label="xx3000 == xx4000",fontsize=16,color="blue",shape="box"];922[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 922[label="",style="solid", color="blue", weight=9]; 16.42/6.25 922 -> 423[label="",style="solid", color="blue", weight=3]; 16.42/6.25 923[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 923[label="",style="solid", color="blue", weight=9]; 16.42/6.25 923 -> 424[label="",style="solid", color="blue", weight=3]; 16.42/6.25 924[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 924[label="",style="solid", color="blue", weight=9]; 16.42/6.25 924 -> 425[label="",style="solid", color="blue", weight=3]; 16.42/6.25 925[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 925[label="",style="solid", color="blue", weight=9]; 16.42/6.25 925 -> 426[label="",style="solid", color="blue", weight=3]; 16.42/6.25 926[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 926[label="",style="solid", color="blue", weight=9]; 16.42/6.25 926 -> 427[label="",style="solid", color="blue", weight=3]; 16.42/6.25 927[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 927[label="",style="solid", color="blue", weight=9]; 16.42/6.25 927 -> 428[label="",style="solid", color="blue", weight=3]; 16.42/6.25 928[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 928[label="",style="solid", color="blue", weight=9]; 16.42/6.25 928 -> 429[label="",style="solid", color="blue", weight=3]; 16.42/6.25 929[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 929[label="",style="solid", color="blue", weight=9]; 16.42/6.25 929 -> 430[label="",style="solid", color="blue", weight=3]; 16.42/6.25 930[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 930[label="",style="solid", color="blue", weight=9]; 16.42/6.25 930 -> 431[label="",style="solid", color="blue", weight=3]; 16.42/6.25 931[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 931[label="",style="solid", color="blue", weight=9]; 16.42/6.25 931 -> 432[label="",style="solid", color="blue", weight=3]; 16.42/6.25 932[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 932[label="",style="solid", color="blue", weight=9]; 16.42/6.25 932 -> 433[label="",style="solid", color="blue", weight=3]; 16.42/6.25 933[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 933[label="",style="solid", color="blue", weight=9]; 16.42/6.25 933 -> 434[label="",style="solid", color="blue", weight=3]; 16.42/6.25 934[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 934[label="",style="solid", color="blue", weight=9]; 16.42/6.25 934 -> 435[label="",style="solid", color="blue", weight=3]; 16.42/6.25 935[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];276 -> 935[label="",style="solid", color="blue", weight=9]; 16.42/6.25 935 -> 436[label="",style="solid", color="blue", weight=3]; 16.42/6.25 251[label="xx14",fontsize=16,color="green",shape="box"];252[label="primEqInt (Pos (Succ xx30000)) (Pos (Succ xx40000))",fontsize=16,color="black",shape="box"];252 -> 437[label="",style="solid", color="black", weight=3]; 16.42/6.25 253[label="primEqInt (Pos (Succ xx30000)) (Pos Zero)",fontsize=16,color="black",shape="box"];253 -> 438[label="",style="solid", color="black", weight=3]; 16.42/6.25 254[label="False",fontsize=16,color="green",shape="box"];255[label="primEqInt (Pos Zero) (Pos (Succ xx40000))",fontsize=16,color="black",shape="box"];255 -> 439[label="",style="solid", color="black", weight=3]; 16.42/6.25 256[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];256 -> 440[label="",style="solid", color="black", weight=3]; 16.42/6.25 257[label="primEqInt (Pos Zero) (Neg (Succ xx40000))",fontsize=16,color="black",shape="box"];257 -> 441[label="",style="solid", color="black", weight=3]; 16.42/6.25 258[label="primEqInt (Pos Zero) (Neg 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265[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];265 -> 448[label="",style="solid", color="black", weight=3]; 16.42/6.25 281 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 281[label="xx3001 == xx4001",fontsize=16,color="magenta"];281 -> 449[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 281 -> 450[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 282 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 282[label="xx3001 == xx4001",fontsize=16,color="magenta"];282 -> 451[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 282 -> 452[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 283 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 283[label="xx3000 == xx4000",fontsize=16,color="magenta"];283 -> 453[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 283 -> 454[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 284 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 284[label="xx3000 == xx4000",fontsize=16,color="magenta"];284 -> 455[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 284 -> 456[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 285[label="False && xx27",fontsize=16,color="black",shape="box"];285 -> 457[label="",style="solid", color="black", weight=3]; 16.42/6.25 286[label="True && xx27",fontsize=16,color="black",shape="box"];286 -> 458[label="",style="solid", color="black", weight=3]; 16.42/6.25 287[label="xx3001 * xx4000",fontsize=16,color="black",shape="triangle"];287 -> 459[label="",style="solid", color="black", weight=3]; 16.42/6.25 288 -> 287[label="",style="dashed", color="red", weight=0]; 16.42/6.25 288[label="xx3000 * xx4001",fontsize=16,color="magenta"];288 -> 460[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 288 -> 461[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 289 -> 287[label="",style="dashed", color="red", weight=0]; 16.42/6.25 289[label="xx3001 * xx4000",fontsize=16,color="magenta"];289 -> 462[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 289 -> 463[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 290 -> 287[label="",style="dashed", color="red", weight=0]; 16.42/6.25 290[label="xx3000 * xx4001",fontsize=16,color="magenta"];290 -> 464[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 290 -> 465[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 291[label="primEqNat (Succ xx30000) xx4000",fontsize=16,color="burlywood",shape="box"];936[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];291 -> 936[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 936 -> 466[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 937[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];291 -> 937[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 937 -> 467[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 292[label="primEqNat Zero xx4000",fontsize=16,color="burlywood",shape="box"];938[label="xx4000/Succ xx40000",fontsize=10,color="white",style="solid",shape="box"];292 -> 938[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 938 -> 468[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 939[label="xx4000/Zero",fontsize=10,color="white",style="solid",shape="box"];292 -> 939[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 939 -> 469[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 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944[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 944[label="",style="solid", color="blue", weight=9]; 16.42/6.25 944 -> 474[label="",style="solid", color="blue", weight=3]; 16.42/6.25 945[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 945[label="",style="solid", color="blue", weight=9]; 16.42/6.25 945 -> 475[label="",style="solid", color="blue", weight=3]; 16.42/6.25 946[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 946[label="",style="solid", color="blue", weight=9]; 16.42/6.25 946 -> 476[label="",style="solid", color="blue", weight=3]; 16.42/6.25 947[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];349 -> 947[label="",style="solid", color="blue", weight=9]; 16.42/6.25 947 -> 477[label="",style="solid", color="blue", weight=3]; 16.42/6.25 948[label="== :: (Either a b) -> (Either a b) 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Bool",fontsize=10,color="white",style="solid",shape="box"];350 -> 964[label="",style="solid", color="blue", weight=9]; 16.42/6.25 964 -> 494[label="",style="solid", color="blue", weight=3]; 16.42/6.25 965[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];350 -> 965[label="",style="solid", color="blue", weight=9]; 16.42/6.25 965 -> 495[label="",style="solid", color="blue", weight=3]; 16.42/6.25 966[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];350 -> 966[label="",style="solid", color="blue", weight=9]; 16.42/6.25 966 -> 496[label="",style="solid", color="blue", weight=3]; 16.42/6.25 967[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];350 -> 967[label="",style="solid", color="blue", weight=9]; 16.42/6.25 967 -> 497[label="",style="solid", color="blue", weight=3]; 16.42/6.25 351 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 351[label="xx3000 == xx4000",fontsize=16,color="magenta"];351 -> 498[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 351 -> 499[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 352 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 352[label="xx3000 == xx4000",fontsize=16,color="magenta"];352 -> 500[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 352 -> 501[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 353 -> 61[label="",style="dashed", color="red", weight=0]; 16.42/6.25 353[label="xx3000 == xx4000",fontsize=16,color="magenta"];353 -> 502[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 353 -> 503[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 354 -> 62[label="",style="dashed", color="red", weight=0]; 16.42/6.25 354[label="xx3000 == xx4000",fontsize=16,color="magenta"];354 -> 504[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 354 -> 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weight=3]; 16.42/6.25 362 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 362[label="xx3000 == xx4000",fontsize=16,color="magenta"];362 -> 520[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 362 -> 521[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 363 -> 71[label="",style="dashed", color="red", weight=0]; 16.42/6.25 363[label="xx3000 == xx4000",fontsize=16,color="magenta"];363 -> 522[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 363 -> 523[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 364 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 364[label="xx3000 == xx4000",fontsize=16,color="magenta"];364 -> 524[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 364 -> 525[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 365 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 365[label="xx3001 == xx4001",fontsize=16,color="magenta"];365 -> 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63[label="",style="dashed", color="red", weight=0]; 16.42/6.25 369[label="xx3001 == xx4001",fontsize=16,color="magenta"];369 -> 534[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 369 -> 535[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 370 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 370[label="xx3001 == xx4001",fontsize=16,color="magenta"];370 -> 536[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 370 -> 537[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 371 -> 65[label="",style="dashed", color="red", weight=0]; 16.42/6.25 371[label="xx3001 == xx4001",fontsize=16,color="magenta"];371 -> 538[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 371 -> 539[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 372 -> 66[label="",style="dashed", color="red", weight=0]; 16.42/6.25 372[label="xx3001 == xx4001",fontsize=16,color="magenta"];372 -> 540[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 372 -> 541[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 373 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 373[label="xx3001 == xx4001",fontsize=16,color="magenta"];373 -> 542[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 373 -> 543[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 374 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 374[label="xx3001 == xx4001",fontsize=16,color="magenta"];374 -> 544[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 374 -> 545[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 375 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 375[label="xx3001 == xx4001",fontsize=16,color="magenta"];375 -> 546[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 375 -> 547[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 376 -> 70[label="",style="dashed", color="red", 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weight=3]; 16.42/6.25 387 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 387[label="xx3000 == xx4000",fontsize=16,color="magenta"];387 -> 570[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 387 -> 571[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 388 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 388[label="xx3000 == xx4000",fontsize=16,color="magenta"];388 -> 572[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 388 -> 573[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 389 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 389[label="xx3000 == xx4000",fontsize=16,color="magenta"];389 -> 574[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 389 -> 575[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 390 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 390[label="xx3000 == xx4000",fontsize=16,color="magenta"];390 -> 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color="magenta", weight=3]; 16.42/6.25 426 -> 589[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 427 -> 63[label="",style="dashed", color="red", weight=0]; 16.42/6.25 427[label="xx3000 == xx4000",fontsize=16,color="magenta"];427 -> 590[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 427 -> 591[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 428 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 428[label="xx3000 == xx4000",fontsize=16,color="magenta"];428 -> 592[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 428 -> 593[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 429 -> 65[label="",style="dashed", color="red", weight=0]; 16.42/6.25 429[label="xx3000 == xx4000",fontsize=16,color="magenta"];429 -> 594[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 429 -> 595[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 430 -> 66[label="",style="dashed", color="red", weight=0]; 16.42/6.25 430[label="xx3000 == xx4000",fontsize=16,color="magenta"];430 -> 596[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 430 -> 597[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 431 -> 67[label="",style="dashed", color="red", weight=0]; 16.42/6.25 431[label="xx3000 == xx4000",fontsize=16,color="magenta"];431 -> 598[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 431 -> 599[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 432 -> 68[label="",style="dashed", color="red", weight=0]; 16.42/6.25 432[label="xx3000 == xx4000",fontsize=16,color="magenta"];432 -> 600[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 432 -> 601[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 433 -> 69[label="",style="dashed", color="red", weight=0]; 16.42/6.25 433[label="xx3000 == xx4000",fontsize=16,color="magenta"];433 -> 602[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 433 -> 603[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 434 -> 70[label="",style="dashed", color="red", weight=0]; 16.42/6.25 434[label="xx3000 == xx4000",fontsize=16,color="magenta"];434 -> 604[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 434 -> 605[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 435 -> 71[label="",style="dashed", color="red", weight=0]; 16.42/6.25 435[label="xx3000 == xx4000",fontsize=16,color="magenta"];435 -> 606[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 435 -> 607[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 436 -> 72[label="",style="dashed", color="red", weight=0]; 16.42/6.25 436[label="xx3000 == xx4000",fontsize=16,color="magenta"];436 -> 608[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 436 -> 609[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 437 -> 197[label="",style="dashed", color="red", weight=0]; 16.42/6.25 437[label="primEqNat xx30000 xx40000",fontsize=16,color="magenta"];437 -> 610[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 437 -> 611[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 438[label="False",fontsize=16,color="green",shape="box"];439[label="False",fontsize=16,color="green",shape="box"];440[label="True",fontsize=16,color="green",shape="box"];441[label="False",fontsize=16,color="green",shape="box"];442[label="True",fontsize=16,color="green",shape="box"];443 -> 197[label="",style="dashed", color="red", weight=0]; 16.42/6.25 443[label="primEqNat xx30000 xx40000",fontsize=16,color="magenta"];443 -> 612[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 443 -> 613[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 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xx30010",fontsize=10,color="white",style="solid",shape="box"];459 -> 968[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 968 -> 614[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 969[label="xx3001/Neg xx30010",fontsize=10,color="white",style="solid",shape="box"];459 -> 969[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 969 -> 615[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 460[label="xx4001",fontsize=16,color="green",shape="box"];461[label="xx3000",fontsize=16,color="green",shape="box"];462[label="xx4000",fontsize=16,color="green",shape="box"];463[label="xx3001",fontsize=16,color="green",shape="box"];464[label="xx4001",fontsize=16,color="green",shape="box"];465[label="xx3000",fontsize=16,color="green",shape="box"];466[label="primEqNat (Succ xx30000) (Succ xx40000)",fontsize=16,color="black",shape="box"];466 -> 616[label="",style="solid", color="black", weight=3]; 16.42/6.25 467[label="primEqNat (Succ xx30000) Zero",fontsize=16,color="black",shape="box"];467 -> 617[label="",style="solid", color="black", weight=3]; 16.42/6.25 468[label="primEqNat Zero (Succ xx40000)",fontsize=16,color="black",shape="box"];468 -> 618[label="",style="solid", color="black", weight=3]; 16.42/6.25 469[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];469 -> 619[label="",style="solid", color="black", weight=3]; 16.42/6.25 470 -> 59[label="",style="dashed", color="red", weight=0]; 16.42/6.25 470[label="xx3002 == xx4002",fontsize=16,color="magenta"];470 -> 620[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 470 -> 621[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 471 -> 60[label="",style="dashed", color="red", weight=0]; 16.42/6.25 471[label="xx3002 == xx4002",fontsize=16,color="magenta"];471 -> 622[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 471 -> 623[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 472 -> 61[label="",style="dashed", color="red", weight=0]; 16.42/6.25 472[label="xx3002 == xx4002",fontsize=16,color="magenta"];472 -> 624[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 472 -> 625[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 473 -> 62[label="",style="dashed", color="red", weight=0]; 16.42/6.25 473[label="xx3002 == xx4002",fontsize=16,color="magenta"];473 -> 626[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 473 -> 627[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 474 -> 63[label="",style="dashed", color="red", weight=0]; 16.42/6.25 474[label="xx3002 == xx4002",fontsize=16,color="magenta"];474 -> 628[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 474 -> 629[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 475 -> 64[label="",style="dashed", color="red", weight=0]; 16.42/6.25 475[label="xx3002 == xx4002",fontsize=16,color="magenta"];475 -> 630[label="",style="dashed", 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687[label="",style="dashed", color="green", weight=3]; 16.42/6.25 684[label="Neg (primMulNat xx30010 xx40000)",fontsize=16,color="green",shape="box"];684 -> 688[label="",style="dashed", color="green", weight=3]; 16.42/6.25 685[label="Pos (primMulNat xx30010 xx40000)",fontsize=16,color="green",shape="box"];685 -> 689[label="",style="dashed", color="green", weight=3]; 16.42/6.25 686[label="primMulNat xx30010 xx40000",fontsize=16,color="burlywood",shape="triangle"];974[label="xx30010/Succ xx300100",fontsize=10,color="white",style="solid",shape="box"];686 -> 974[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 974 -> 690[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 975[label="xx30010/Zero",fontsize=10,color="white",style="solid",shape="box"];686 -> 975[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 975 -> 691[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 687 -> 686[label="",style="dashed", color="red", weight=0]; 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977[label="xx40000/Zero",fontsize=10,color="white",style="solid",shape="box"];690 -> 977[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 977 -> 697[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 691[label="primMulNat Zero xx40000",fontsize=16,color="burlywood",shape="box"];978[label="xx40000/Succ xx400000",fontsize=10,color="white",style="solid",shape="box"];691 -> 978[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 978 -> 698[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 979[label="xx40000/Zero",fontsize=10,color="white",style="solid",shape="box"];691 -> 979[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 979 -> 699[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 692[label="xx40000",fontsize=16,color="green",shape="box"];693[label="xx30010",fontsize=16,color="green",shape="box"];694[label="xx40000",fontsize=16,color="green",shape="box"];695[label="xx30010",fontsize=16,color="green",shape="box"];696[label="primMulNat (Succ xx300100) (Succ xx400000)",fontsize=16,color="black",shape="box"];696 -> 700[label="",style="solid", color="black", weight=3]; 16.42/6.25 697[label="primMulNat (Succ xx300100) Zero",fontsize=16,color="black",shape="box"];697 -> 701[label="",style="solid", color="black", weight=3]; 16.42/6.25 698[label="primMulNat Zero (Succ xx400000)",fontsize=16,color="black",shape="box"];698 -> 702[label="",style="solid", color="black", weight=3]; 16.42/6.25 699[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];699 -> 703[label="",style="solid", color="black", weight=3]; 16.42/6.25 700 -> 704[label="",style="dashed", color="red", weight=0]; 16.42/6.25 700[label="primPlusNat (primMulNat xx300100 (Succ xx400000)) (Succ xx400000)",fontsize=16,color="magenta"];700 -> 705[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 701[label="Zero",fontsize=16,color="green",shape="box"];702[label="Zero",fontsize=16,color="green",shape="box"];703[label="Zero",fontsize=16,color="green",shape="box"];705 -> 686[label="",style="dashed", color="red", weight=0]; 16.42/6.25 705[label="primMulNat xx300100 (Succ xx400000)",fontsize=16,color="magenta"];705 -> 706[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 705 -> 707[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 704[label="primPlusNat xx28 (Succ xx400000)",fontsize=16,color="burlywood",shape="triangle"];980[label="xx28/Succ xx280",fontsize=10,color="white",style="solid",shape="box"];704 -> 980[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 980 -> 708[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 981[label="xx28/Zero",fontsize=10,color="white",style="solid",shape="box"];704 -> 981[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 981 -> 709[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 706[label="Succ xx400000",fontsize=16,color="green",shape="box"];707[label="xx300100",fontsize=16,color="green",shape="box"];708[label="primPlusNat (Succ xx280) (Succ xx400000)",fontsize=16,color="black",shape="box"];708 -> 710[label="",style="solid", color="black", weight=3]; 16.42/6.25 709[label="primPlusNat Zero (Succ xx400000)",fontsize=16,color="black",shape="box"];709 -> 711[label="",style="solid", color="black", weight=3]; 16.42/6.25 710[label="Succ (Succ (primPlusNat xx280 xx400000))",fontsize=16,color="green",shape="box"];710 -> 712[label="",style="dashed", color="green", weight=3]; 16.42/6.25 711[label="Succ xx400000",fontsize=16,color="green",shape="box"];712[label="primPlusNat xx280 xx400000",fontsize=16,color="burlywood",shape="triangle"];982[label="xx280/Succ xx2800",fontsize=10,color="white",style="solid",shape="box"];712 -> 982[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 982 -> 713[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 983[label="xx280/Zero",fontsize=10,color="white",style="solid",shape="box"];712 -> 983[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 983 -> 714[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 713[label="primPlusNat (Succ xx2800) xx400000",fontsize=16,color="burlywood",shape="box"];984[label="xx400000/Succ xx4000000",fontsize=10,color="white",style="solid",shape="box"];713 -> 984[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 984 -> 715[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 985[label="xx400000/Zero",fontsize=10,color="white",style="solid",shape="box"];713 -> 985[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 985 -> 716[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 714[label="primPlusNat Zero xx400000",fontsize=16,color="burlywood",shape="box"];986[label="xx400000/Succ xx4000000",fontsize=10,color="white",style="solid",shape="box"];714 -> 986[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 986 -> 717[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 987[label="xx400000/Zero",fontsize=10,color="white",style="solid",shape="box"];714 -> 987[label="",style="solid", color="burlywood", weight=9]; 16.42/6.25 987 -> 718[label="",style="solid", color="burlywood", weight=3]; 16.42/6.25 715[label="primPlusNat (Succ xx2800) (Succ xx4000000)",fontsize=16,color="black",shape="box"];715 -> 719[label="",style="solid", color="black", weight=3]; 16.42/6.25 716[label="primPlusNat (Succ xx2800) Zero",fontsize=16,color="black",shape="box"];716 -> 720[label="",style="solid", color="black", weight=3]; 16.42/6.25 717[label="primPlusNat Zero (Succ xx4000000)",fontsize=16,color="black",shape="box"];717 -> 721[label="",style="solid", color="black", weight=3]; 16.42/6.25 718[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];718 -> 722[label="",style="solid", color="black", weight=3]; 16.42/6.25 719[label="Succ (Succ (primPlusNat xx2800 xx4000000))",fontsize=16,color="green",shape="box"];719 -> 723[label="",style="dashed", color="green", weight=3]; 16.42/6.25 720[label="Succ xx2800",fontsize=16,color="green",shape="box"];721[label="Succ xx4000000",fontsize=16,color="green",shape="box"];722[label="Zero",fontsize=16,color="green",shape="box"];723 -> 712[label="",style="dashed", color="red", weight=0]; 16.42/6.25 723[label="primPlusNat xx2800 xx4000000",fontsize=16,color="magenta"];723 -> 724[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 723 -> 725[label="",style="dashed", color="magenta", weight=3]; 16.42/6.25 724[label="xx2800",fontsize=16,color="green",shape="box"];725[label="xx4000000",fontsize=16,color="green",shape="box"];} 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (12) 16.42/6.25 Complex Obligation (AND) 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (13) 16.42/6.25 Obligation: 16.42/6.25 Q DP problem: 16.42/6.25 The TRS P consists of the following rules: 16.42/6.25 16.42/6.25 new_esEs(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xx3000, xx4000, bd, be, bf) 16.42/6.25 new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xx3000, xx4000, bcf, bcg) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(ty_Maybe, gb), fc) -> new_esEs2(xx3001, xx4001, gb) 16.42/6.25 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xx3000, xx4000, cf, cg, da) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_Maybe, hc), dg, fc) -> new_esEs2(xx3000, xx4000, hc) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(ty_Either, bdc), bdd)) -> new_esEs(xx3000, xx4000, bdc, bdd) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(ty_@2, ee), ef)) -> new_esEs1(xx3002, xx4002, ee, ef) 16.42/6.25 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xx3000, xx4000, db, dc) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_Either, gd), ge), dg, fc) -> new_esEs(xx3000, xx4000, gd, ge) 16.42/6.25 new_esEs(Left(xx3000), Left(xx4000), app(ty_Maybe, ca), bc) -> new_esEs2(xx3000, xx4000, ca) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(app(ty_@3, fd), ff), fg), fc) -> new_esEs0(xx3001, xx4001, fd, ff, fg) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(ty_@2, fh), ga), fc) -> new_esEs1(xx3001, xx4001, fh, ga) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(ty_Maybe, beb)) -> new_esEs2(xx3000, xx4000, beb) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(ty_[], bec)) -> new_esEs3(xx3000, xx4000, bec) 16.42/6.25 new_esEs2(Just(xx3000), Just(xx4000), app(ty_Maybe, bch)) -> new_esEs2(xx3000, xx4000, bch) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(ty_Either, dh), ea)) -> new_esEs(xx3002, xx4002, dh, ea) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(ty_Either, hf), hg)) -> new_esEs(xx3001, xx4001, hf, hg) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(app(ty_@3, bbb), bbc), bbd), bba) -> new_esEs0(xx3000, xx4000, bbb, bbc, bbd) 16.42/6.25 new_esEs(Left(xx3000), Left(xx4000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xx3000, xx4000, bg, bh) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(ty_[], eh)) -> new_esEs3(xx3002, xx4002, eh) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_[], bbh), bba) -> new_esEs3(xx3000, xx4000, bbh) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(ty_Maybe, bae)) -> new_esEs2(xx3001, xx4001, bae) 16.42/6.25 new_esEs2(Just(xx3000), Just(xx4000), app(ty_[], bda)) -> new_esEs3(xx3000, xx4000, bda) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs0(xx3002, xx4002, eb, ec, ed) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(ty_@2, bdh), bea)) -> new_esEs1(xx3000, xx4000, bdh, bea) 16.42/6.25 new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xx3000, xx4000, cd, ce) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(ty_Maybe, eg)) -> new_esEs2(xx3002, xx4002, eg) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(ty_[], baf)) -> new_esEs3(xx3001, xx4001, baf) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_Maybe, bbg), bba) -> new_esEs2(xx3000, xx4000, bbg) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs0(xx3001, xx4001, hh, baa, bab) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(ty_Either, fa), fb), fc) -> new_esEs(xx3001, xx4001, fa, fb) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), bdb) -> new_esEs3(xx3001, xx4001, bdb) 16.42/6.25 new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_[], de)) -> new_esEs3(xx3000, xx4000, de) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(ty_[], gc), fc) -> new_esEs3(xx3001, xx4001, gc) 16.42/6.25 new_esEs(Left(xx3000), Left(xx4000), app(app(ty_Either, ba), bb), bc) -> new_esEs(xx3000, xx4000, ba, bb) 16.42/6.25 new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs0(xx3000, xx4000, bde, bdf, bdg) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_[], hd), dg, fc) -> new_esEs3(xx3000, xx4000, hd) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_@2, bbe), bbf), bba) -> new_esEs1(xx3000, xx4000, bbe, bbf) 16.42/6.25 new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_Maybe, dd)) -> new_esEs2(xx3000, xx4000, dd) 16.42/6.25 new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_Either, bca), bcb)) -> new_esEs(xx3000, xx4000, bca, bcb) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_Either, bag), bah), bba) -> new_esEs(xx3000, xx4000, bag, bah) 16.42/6.25 new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(ty_@2, bac), bad)) -> new_esEs1(xx3001, xx4001, bac, bad) 16.42/6.25 new_esEs2(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xx3000, xx4000, bcc, bcd, bce) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(app(ty_@3, gf), gg), gh), dg, fc) -> new_esEs0(xx3000, xx4000, gf, gg, gh) 16.42/6.25 new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_@2, ha), hb), dg, fc) -> new_esEs1(xx3000, xx4000, ha, hb) 16.42/6.25 new_esEs(Left(xx3000), Left(xx4000), app(ty_[], cb), bc) -> new_esEs3(xx3000, xx4000, cb) 16.42/6.25 16.42/6.25 R is empty. 16.42/6.25 Q is empty. 16.42/6.25 We have to consider all minimal (P,Q,R)-chains. 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (14) QDPSizeChangeProof (EQUIVALENT) 16.42/6.25 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. 16.42/6.25 16.42/6.25 From the DPs we obtained the following set of size-change graphs: 16.42/6.25 *new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_Either, bca), bcb)) -> new_esEs(xx3000, xx4000, bca, bcb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs2(Just(xx3000), Just(xx4000), app(ty_Maybe, bch)) -> new_esEs2(xx3000, xx4000, bch) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs2(Just(xx3000), Just(xx4000), app(app(app(ty_@3, bcc), bcd), bce)) -> new_esEs0(xx3000, xx4000, bcc, bcd, bce) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(ty_Either, bdc), bdd)) -> new_esEs(xx3000, xx4000, bdc, bdd) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(ty_Maybe, beb)) -> new_esEs2(xx3000, xx4000, beb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs2(Just(xx3000), Just(xx4000), app(ty_[], bda)) -> new_esEs3(xx3000, xx4000, bda) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs2(Just(xx3000), Just(xx4000), app(app(ty_@2, bcf), bcg)) -> new_esEs1(xx3000, xx4000, bcf, bcg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(app(ty_@3, bde), bdf), bdg)) -> new_esEs0(xx3000, xx4000, bde, bdf, bdg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(app(ty_@2, bdh), bea)) -> new_esEs1(xx3000, xx4000, bdh, bea) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_Either, gd), ge), dg, fc) -> new_esEs(xx3000, xx4000, gd, ge) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(ty_Either, dh), ea)) -> new_esEs(xx3002, xx4002, dh, ea) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(ty_Either, fa), fb), fc) -> new_esEs(xx3001, xx4001, fa, fb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(ty_Maybe, gb), fc) -> new_esEs2(xx3001, xx4001, gb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_Maybe, hc), dg, fc) -> new_esEs2(xx3000, xx4000, hc) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(ty_Maybe, eg)) -> new_esEs2(xx3002, xx4002, eg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(app(ty_@3, fd), ff), fg), fc) -> new_esEs0(xx3001, xx4001, fd, ff, fg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(app(ty_@3, eb), ec), ed)) -> new_esEs0(xx3002, xx4002, eb, ec, ed) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(app(ty_@3, gf), gg), gh), dg, fc) -> new_esEs0(xx3000, xx4000, gf, gg, gh) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(ty_[], eh)) -> new_esEs3(xx3002, xx4002, eh) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(ty_[], gc), fc) -> new_esEs3(xx3001, xx4001, gc) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(ty_[], hd), dg, fc) -> new_esEs3(xx3000, xx4000, hd) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, dg, app(app(ty_@2, ee), ef)) -> new_esEs1(xx3002, xx4002, ee, ef) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), df, app(app(ty_@2, fh), ga), fc) -> new_esEs1(xx3001, xx4001, fh, ga) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs0(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), app(app(ty_@2, ha), hb), dg, fc) -> new_esEs1(xx3000, xx4000, ha, hb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(ty_Either, hf), hg)) -> new_esEs(xx3001, xx4001, hf, hg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_Either, bag), bah), bba) -> new_esEs(xx3000, xx4000, bag, bah) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_Either, cd), ce)) -> new_esEs(xx3000, xx4000, cd, ce) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Left(xx3000), Left(xx4000), app(app(ty_Either, ba), bb), bc) -> new_esEs(xx3000, xx4000, ba, bb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(ty_Maybe, bae)) -> new_esEs2(xx3001, xx4001, bae) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_Maybe, bbg), bba) -> new_esEs2(xx3000, xx4000, bbg) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(app(ty_@3, bbb), bbc), bbd), bba) -> new_esEs0(xx3000, xx4000, bbb, bbc, bbd) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(app(ty_@3, hh), baa), bab)) -> new_esEs0(xx3001, xx4001, hh, baa, bab) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(ty_[], bbh), bba) -> new_esEs3(xx3000, xx4000, bbh) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(ty_[], baf)) -> new_esEs3(xx3001, xx4001, baf) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), app(app(ty_@2, bbe), bbf), bba) -> new_esEs1(xx3000, xx4000, bbe, bbf) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs1(@2(xx3000, xx3001), @2(xx4000, xx4001), he, app(app(ty_@2, bac), bad)) -> new_esEs1(xx3001, xx4001, bac, bad) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Left(xx3000), Left(xx4000), app(ty_Maybe, ca), bc) -> new_esEs2(xx3000, xx4000, ca) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_Maybe, dd)) -> new_esEs2(xx3000, xx4000, dd) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Left(xx3000), Left(xx4000), app(app(app(ty_@3, bd), be), bf), bc) -> new_esEs0(xx3000, xx4000, bd, be, bf) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(app(ty_@3, cf), cg), da)) -> new_esEs0(xx3000, xx4000, cf, cg, da) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Right(xx3000), Right(xx4000), cc, app(ty_[], de)) -> new_esEs3(xx3000, xx4000, de) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Left(xx3000), Left(xx4000), app(ty_[], cb), bc) -> new_esEs3(xx3000, xx4000, cb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Right(xx3000), Right(xx4000), cc, app(app(ty_@2, db), dc)) -> new_esEs1(xx3000, xx4000, db, dc) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs(Left(xx3000), Left(xx4000), app(app(ty_@2, bg), bh), bc) -> new_esEs1(xx3000, xx4000, bg, bh) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), app(ty_[], bec)) -> new_esEs3(xx3000, xx4000, bec) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 > 3 16.42/6.25 16.42/6.25 16.42/6.25 *new_esEs3(:(xx3000, xx3001), :(xx4000, xx4001), bdb) -> new_esEs3(xx3001, xx4001, bdb) 16.42/6.25 The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3 16.42/6.25 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (15) 16.42/6.25 YES 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (16) 16.42/6.25 Obligation: 16.42/6.25 Q DP problem: 16.42/6.25 The TRS P consists of the following rules: 16.42/6.25 16.42/6.25 new_psPs0(xx11, False, xx13, xx14, bb) -> new_psPs(Just(xx11), xx13, xx14, bb) 16.42/6.25 new_psPs(Nothing, :(Just(xx400), xx41), xx5, ba) -> new_psPs(Nothing, xx41, xx5, ba) 16.42/6.25 new_psPs(Just(xx300), :(Nothing, xx41), xx5, ba) -> new_psPs0(xx300, False, xx41, xx5, ba) 16.42/6.25 new_psPs(Just(xx300), :(Just(xx400), xx41), xx5, ba) -> new_psPs0(xx300, new_esEs4(xx300, xx400, ba), xx41, xx5, ba) 16.42/6.25 16.42/6.25 The TRS R consists of the following rules: 16.42/6.25 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs6(xx3002, xx4002) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Maybe, cc)) -> new_esEs17(xx300, xx400, cc) 16.42/6.25 new_primPlusNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_Either, fc), fd)) -> new_esEs13(xx3000, xx4000, fc, fd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_Either, bd), be)) -> new_esEs13(xx300, xx400, bd, be) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs13(xx3002, xx4002, bbb, bbc) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Maybe, bee)) -> new_esEs17(xx3000, xx4000, bee) 16.42/6.25 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs15(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Integer, be) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_[], bfh)) -> new_esEs18(xx3000, xx4000, bfh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_@0) -> new_esEs5(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs14(xx300, xx400, bf, bg, bh) 16.42/6.25 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(ty_Either, bdf), bdg)) -> new_esEs13(xx3000, xx4000, bdf, bdg) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Right(xx4000), bd, be) -> False 16.42/6.25 new_esEs13(Right(xx3000), Left(xx4000), bd, be) -> False 16.42/6.25 new_esEs12(GT, GT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_@2, hc), hd), be) -> new_esEs16(xx3000, xx4000, hc, hd) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs9(xx3002, xx4002) 16.42/6.25 new_asAs(True, xx27) -> xx27 16.42/6.25 new_esEs10(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs15(False, False) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Ratio, fb)) -> new_esEs7(xx3000, xx4000, fb) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Maybe, df)) -> new_esEs17(xx3001, xx4001, df) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(ty_Either, cf), cg)) -> new_esEs13(xx3001, xx4001, cf, cg) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs17(xx3002, xx4002, bca) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs15(xx3002, xx4002) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_Int) -> new_esEs6(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, ty_Double) -> new_esEs9(xx300, xx400) 16.42/6.25 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs17(Nothing, Nothing, cc) -> True 16.42/6.25 new_esEs17(Nothing, Just(xx4000), cc) -> False 16.42/6.25 new_esEs17(Just(xx3000), Nothing, cc) -> False 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs14(xx3002, xx4002, bbd, bbe, bbf) 16.42/6.25 new_esEs18([], [], cd) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Double, be) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs12(EQ, EQ) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_@2, ga), gb)) -> new_esEs16(xx3000, xx4000, ga, gb) 16.42/6.25 new_primMulNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Ratio, bde)) -> new_esEs7(xx3000, xx4000, bde) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_[], gd)) -> new_esEs18(xx3000, xx4000, gd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_@2, ca), cb)) -> new_esEs16(xx300, xx400, ca, cb) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs16(xx3002, xx4002, bbg, bbh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_[], cd)) -> new_esEs18(xx300, xx400, cd) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, LT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_Either, gf), gg), be) -> new_esEs13(xx3000, xx4000, gf, gg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs12(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Bool, be) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_primEqNat0(Succ(xx30000), Zero) -> False 16.42/6.25 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Ratio, ce)) -> new_esEs7(xx3001, xx4001, ce) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(app(ty_@3, da), db), dc)) -> new_esEs14(xx3001, xx4001, da, db, dc) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs14(xx3000, xx4000, bdh, bea, beb) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs14(xx3001, xx4001, bcf, bcg, bch) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Float, be) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs18(:(xx3000, xx3001), :(xx4000, xx4001), cd) -> new_asAs(new_esEs26(xx3000, xx4000, cd), new_esEs18(xx3001, xx4001, cd)) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Maybe, gc)) -> new_esEs17(xx3000, xx4000, gc) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(app(ty_@3, gh), ha), hb), be) -> new_esEs14(xx3000, xx4000, gh, ha, hb) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Ratio, beg)) -> new_esEs7(xx3000, xx4000, beg) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs12(EQ, GT) -> False 16.42/6.25 new_esEs12(GT, EQ) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_Either, bcd), bce)) -> new_esEs13(xx3001, xx4001, bcd, bce) 16.42/6.25 new_esEs4(xx300, xx400, ty_Char) -> new_esEs11(xx300, xx400) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Maybe, bdc)) -> new_esEs17(xx3001, xx4001, bdc) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs7(xx3000, xx4000, dh) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs7(:%(xx3000, xx3001), :%(xx4000, xx4001), bc) -> new_asAs(new_esEs22(xx3000, xx4000, bc), new_esEs21(xx3001, xx4001, bc)) 16.42/6.25 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs11(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs9(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Ordering, be) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Maybe, he), be) -> new_esEs17(xx3000, xx4000, he) 16.42/6.25 new_esEs12(LT, EQ) -> False 16.42/6.25 new_esEs12(EQ, LT) -> False 16.42/6.25 new_primPlusNat0(Succ(xx2800), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx2800, xx4000000))) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_@2, bfe), bff)) -> new_esEs16(xx3000, xx4000, bfe, bff) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Ratio, hg)) -> new_esEs7(xx3000, xx4000, hg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs10(xx300, xx400) 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs14(xx3000, xx4000, ec, ed, ee) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_@0, be) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs6(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.42/6.25 new_esEs15(True, True) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Maybe, bfg)) -> new_esEs17(xx3000, xx4000, bfg) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, GT) -> False 16.42/6.25 new_esEs12(GT, LT) -> False 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs14(xx3000, xx4000, bab, bac, bad) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_[], dg)) -> new_esEs18(xx3001, xx4001, dg) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_[], bef)) -> new_esEs18(xx3000, xx4000, bef) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Ratio, ge), be) -> new_esEs7(xx3000, xx4000, ge) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs8(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs10(xx3002, xx4002) 16.42/6.25 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.42/6.25 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.42/6.25 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs12(xx3002, xx4002) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_@2, bda), bdb)) -> new_esEs16(xx3001, xx4001, bda, bdb) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs17(xx3000, xx4000, eh) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_Either, hh), baa)) -> new_esEs13(xx3000, xx4000, hh, baa) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_[], fa)) -> new_esEs18(xx3000, xx4000, fa) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs11(xx3002, xx4002) 16.42/6.25 new_esEs18(:(xx3000, xx3001), [], cd) -> False 16.42/6.25 new_esEs18([], :(xx4000, xx4001), cd) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs13(xx3000, xx4000, ea, eb) 16.42/6.25 new_primPlusNat1(Succ(xx280), xx400000) -> Succ(Succ(new_primPlusNat0(xx280, xx400000))) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_[], bah)) -> new_esEs18(xx3000, xx4000, bah) 16.42/6.25 new_esEs15(False, True) -> False 16.42/6.25 new_esEs15(True, False) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Int, be) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_primPlusNat0(Succ(xx2800), Zero) -> Succ(xx2800) 16.42/6.25 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.42/6.25 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs14(xx3000, xx4000, bfb, bfc, bfd) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs18(xx3002, xx4002, bcb) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_[], hf), be) -> new_esEs18(xx3000, xx4000, hf) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Ratio, bc)) -> new_esEs7(xx300, xx400, bc) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Ratio, bcc)) -> new_esEs7(xx3001, xx4001, bcc) 16.42/6.25 new_esEs16(@2(xx3000, xx3001), @2(xx4000, xx4001), ca, cb) -> new_asAs(new_esEs20(xx3000, xx4000, ca), new_esEs19(xx3001, xx4001, cb)) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Char, be) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_Either, beh), bfa)) -> new_esEs13(xx3000, xx4000, beh, bfa) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs7(xx3002, xx4002, bba) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs5(xx3002, xx4002) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_primEqNat0(Zero, Zero) -> True 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(ty_@2, dd), de)) -> new_esEs16(xx3001, xx4001, dd, de) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(ty_@2, bec), bed)) -> new_esEs16(xx3000, xx4000, bec, bed) 16.42/6.25 new_asAs(False, xx27) -> False 16.42/6.25 new_esEs4(xx300, xx400, ty_Float) -> new_esEs8(xx300, xx400) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs8(xx3002, xx4002) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(app(ty_@3, ff), fg), fh)) -> new_esEs14(xx3000, xx4000, ff, fg, fh) 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs16(xx3000, xx4000, ef, eg) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_@2, bae), baf)) -> new_esEs16(xx3000, xx4000, bae, baf) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Maybe, bag)) -> new_esEs17(xx3000, xx4000, bag) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs14(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), bf, bg, bh) -> new_asAs(new_esEs25(xx3000, xx4000, bf), new_asAs(new_esEs24(xx3001, xx4001, bg), new_esEs23(xx3002, xx4002, bh))) 16.42/6.25 new_esEs5(@0, @0) -> True 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_[], bdd)) -> new_esEs18(xx3001, xx4001, bdd) 16.42/6.25 16.42/6.25 The set Q consists of the following terms: 16.42/6.25 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Int, x2) 16.42/6.25 new_esEs26(x0, x1, ty_Integer) 16.42/6.25 new_primPlusNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs4(x0, x1, ty_Ordering) 16.42/6.25 new_esEs19(x0, x1, ty_Bool) 16.42/6.25 new_esEs12(EQ, EQ) 16.42/6.25 new_primPlusNat1(Zero, x0) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.42/6.25 new_esEs23(x0, x1, ty_Ordering) 16.42/6.25 new_esEs25(x0, x1, ty_Integer) 16.42/6.25 new_esEs26(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs23(x0, x1, ty_Int) 16.42/6.25 new_primMulNat0(Zero, Zero) 16.42/6.25 new_esEs22(x0, x1, ty_Integer) 16.42/6.25 new_esEs11(Char(x0), Char(x1)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Char, x2) 16.42/6.25 new_esEs23(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) 16.42/6.25 new_esEs4(x0, x1, ty_Int) 16.42/6.25 new_primPlusNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs19(x0, x1, ty_@0) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs24(x0, x1, ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Zero)) 16.42/6.25 new_esEs20(x0, x1, ty_Integer) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Float, x2) 16.42/6.25 new_esEs23(x0, x1, ty_Char) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) 16.42/6.25 new_esEs24(x0, x1, ty_Ordering) 16.42/6.25 new_esEs23(x0, x1, ty_Double) 16.42/6.25 new_esEs25(x0, x1, ty_Bool) 16.42/6.25 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_primPlusNat0(Succ(x0), Zero) 16.42/6.25 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs26(x0, x1, ty_@0) 16.42/6.25 new_esEs19(x0, x1, ty_Integer) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.42/6.25 new_sr(Pos(x0), Neg(x1)) 16.42/6.25 new_sr(Neg(x0), Pos(x1)) 16.42/6.25 new_esEs20(x0, x1, ty_Float) 16.42/6.25 new_esEs4(x0, x1, ty_Char) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Double) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.42/6.25 new_esEs4(x0, x1, ty_Double) 16.42/6.25 new_esEs18(:(x0, x1), :(x2, x3), x4) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Zero)) 16.42/6.25 new_esEs24(x0, x1, ty_Integer) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 16.42/6.25 new_primPlusNat0(Zero, Zero) 16.42/6.25 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs20(x0, x1, ty_Ordering) 16.42/6.25 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs19(x0, x1, ty_Char) 16.42/6.25 new_sr(Pos(x0), Pos(x1)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Float) 16.42/6.25 new_esEs19(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs12(EQ, GT) 16.42/6.25 new_esEs12(GT, EQ) 16.42/6.25 new_esEs25(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.42/6.25 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs18([], :(x0, x1), x2) 16.42/6.25 new_esEs21(x0, x1, ty_Int) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.42/6.25 new_esEs9(Double(x0, x1), Double(x2, x3)) 16.42/6.25 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_@0) 16.42/6.25 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs25(x0, x1, ty_Ordering) 16.42/6.25 new_esEs24(x0, x1, ty_Int) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Zero)) 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Zero)) 16.42/6.25 new_esEs25(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs23(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Double, x2) 16.42/6.25 new_primPlusNat1(Succ(x0), x1) 16.42/6.25 new_esEs24(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.42/6.25 new_esEs19(x0, x1, ty_Int) 16.42/6.25 new_esEs4(x0, x1, ty_Integer) 16.42/6.25 new_esEs12(LT, GT) 16.42/6.25 new_esEs12(GT, LT) 16.42/6.25 new_esEs24(x0, x1, ty_Char) 16.42/6.25 new_esEs24(x0, x1, ty_Double) 16.42/6.25 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Integer) 16.42/6.25 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs12(LT, LT) 16.42/6.25 new_esEs15(False, False) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Ordering) 16.42/6.25 new_esEs7(:%(x0, x1), :%(x2, x3), x4) 16.42/6.25 new_esEs23(x0, x1, ty_Float) 16.42/6.25 new_esEs10(Integer(x0), Integer(x1)) 16.42/6.25 new_primMulNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Bool, x2) 16.42/6.25 new_esEs25(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs19(x0, x1, ty_Double) 16.42/6.25 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.42/6.25 new_esEs4(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.42/6.25 new_esEs19(x0, x1, ty_Float) 16.42/6.25 new_esEs6(x0, x1) 16.42/6.25 new_primEqNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs26(x0, x1, ty_Int) 16.42/6.25 new_esEs26(x0, x1, ty_Char) 16.42/6.25 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.42/6.25 new_esEs25(x0, x1, ty_Int) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs17(Nothing, Just(x0), x1) 16.42/6.25 new_esEs4(x0, x1, ty_@0) 16.42/6.25 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs12(GT, GT) 16.42/6.25 new_esEs12(LT, EQ) 16.42/6.25 new_esEs12(EQ, LT) 16.42/6.25 new_esEs19(x0, x1, ty_Ordering) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Char) 16.42/6.25 new_esEs8(Float(x0, x1), Float(x2, x3)) 16.42/6.25 new_esEs26(x0, x1, ty_Ordering) 16.42/6.25 new_esEs17(Just(x0), Nothing, x1) 16.42/6.25 new_esEs22(x0, x1, ty_Int) 16.42/6.25 new_esEs14(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.42/6.25 new_esEs26(x0, x1, ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs24(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Int) 16.42/6.25 new_primMulNat0(Succ(x0), Zero) 16.42/6.25 new_esEs4(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Char) 16.42/6.25 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs25(x0, x1, ty_Double) 16.42/6.25 new_primMulNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_@0, x2) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Integer, x2) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.42/6.25 new_esEs5(@0, @0) 16.42/6.25 new_esEs15(False, True) 16.42/6.25 new_esEs15(True, False) 16.42/6.25 new_asAs(False, x0) 16.42/6.25 new_esEs25(x0, x1, ty_Char) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.42/6.25 new_esEs17(Nothing, Nothing, x0) 16.42/6.25 new_primEqNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs23(x0, x1, ty_Bool) 16.42/6.25 new_primEqNat0(Succ(x0), Zero) 16.42/6.25 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs18(:(x0, x1), [], x2) 16.42/6.25 new_primEqNat0(Zero, Zero) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Double) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) 16.42/6.25 new_esEs24(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs24(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Bool) 16.42/6.25 new_esEs21(x0, x1, ty_Integer) 16.42/6.25 new_esEs20(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs20(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.42/6.25 new_esEs15(True, True) 16.42/6.25 new_esEs26(x0, x1, ty_Double) 16.42/6.25 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs25(x0, x1, ty_@0) 16.42/6.25 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs20(x0, x1, ty_Int) 16.42/6.25 new_esEs20(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Bool) 16.42/6.25 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs13(Left(x0), Right(x1), x2, x3) 16.42/6.25 new_esEs13(Right(x0), Left(x1), x2, x3) 16.42/6.25 new_esEs26(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Integer) 16.42/6.25 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Int) 16.42/6.25 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs20(x0, x1, ty_Double) 16.42/6.25 new_sr(Neg(x0), Neg(x1)) 16.42/6.25 new_esEs25(x0, x1, ty_Float) 16.42/6.25 new_esEs20(x0, x1, ty_Char) 16.42/6.25 new_esEs4(x0, x1, ty_Float) 16.42/6.25 new_esEs24(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.42/6.25 new_esEs23(x0, x1, ty_Integer) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_@0) 16.42/6.25 new_asAs(True, x0) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.42/6.25 new_esEs18([], [], x0) 16.42/6.25 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 16.42/6.25 We have to consider all minimal (P,Q,R)-chains. 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (17) DependencyGraphProof (EQUIVALENT) 16.42/6.25 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs. 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (18) 16.42/6.25 Complex Obligation (AND) 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (19) 16.42/6.25 Obligation: 16.42/6.25 Q DP problem: 16.42/6.25 The TRS P consists of the following rules: 16.42/6.25 16.42/6.25 new_psPs(Nothing, :(Just(xx400), xx41), xx5, ba) -> new_psPs(Nothing, xx41, xx5, ba) 16.42/6.25 16.42/6.25 The TRS R consists of the following rules: 16.42/6.25 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs6(xx3002, xx4002) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Maybe, cc)) -> new_esEs17(xx300, xx400, cc) 16.42/6.25 new_primPlusNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_Either, fc), fd)) -> new_esEs13(xx3000, xx4000, fc, fd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_Either, bd), be)) -> new_esEs13(xx300, xx400, bd, be) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs13(xx3002, xx4002, bbb, bbc) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Maybe, bee)) -> new_esEs17(xx3000, xx4000, bee) 16.42/6.25 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs15(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Integer, be) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_[], bfh)) -> new_esEs18(xx3000, xx4000, bfh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_@0) -> new_esEs5(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs14(xx300, xx400, bf, bg, bh) 16.42/6.25 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(ty_Either, bdf), bdg)) -> new_esEs13(xx3000, xx4000, bdf, bdg) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Right(xx4000), bd, be) -> False 16.42/6.25 new_esEs13(Right(xx3000), Left(xx4000), bd, be) -> False 16.42/6.25 new_esEs12(GT, GT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_@2, hc), hd), be) -> new_esEs16(xx3000, xx4000, hc, hd) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs9(xx3002, xx4002) 16.42/6.25 new_asAs(True, xx27) -> xx27 16.42/6.25 new_esEs10(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs15(False, False) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Ratio, fb)) -> new_esEs7(xx3000, xx4000, fb) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Maybe, df)) -> new_esEs17(xx3001, xx4001, df) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(ty_Either, cf), cg)) -> new_esEs13(xx3001, xx4001, cf, cg) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs17(xx3002, xx4002, bca) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs15(xx3002, xx4002) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_Int) -> new_esEs6(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, ty_Double) -> new_esEs9(xx300, xx400) 16.42/6.25 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs17(Nothing, Nothing, cc) -> True 16.42/6.25 new_esEs17(Nothing, Just(xx4000), cc) -> False 16.42/6.25 new_esEs17(Just(xx3000), Nothing, cc) -> False 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs14(xx3002, xx4002, bbd, bbe, bbf) 16.42/6.25 new_esEs18([], [], cd) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Double, be) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs12(EQ, EQ) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_@2, ga), gb)) -> new_esEs16(xx3000, xx4000, ga, gb) 16.42/6.25 new_primMulNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Ratio, bde)) -> new_esEs7(xx3000, xx4000, bde) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_[], gd)) -> new_esEs18(xx3000, xx4000, gd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_@2, ca), cb)) -> new_esEs16(xx300, xx400, ca, cb) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs16(xx3002, xx4002, bbg, bbh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_[], cd)) -> new_esEs18(xx300, xx400, cd) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, LT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_Either, gf), gg), be) -> new_esEs13(xx3000, xx4000, gf, gg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs12(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Bool, be) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_primEqNat0(Succ(xx30000), Zero) -> False 16.42/6.25 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Ratio, ce)) -> new_esEs7(xx3001, xx4001, ce) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(app(ty_@3, da), db), dc)) -> new_esEs14(xx3001, xx4001, da, db, dc) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs14(xx3000, xx4000, bdh, bea, beb) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs14(xx3001, xx4001, bcf, bcg, bch) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Float, be) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs18(:(xx3000, xx3001), :(xx4000, xx4001), cd) -> new_asAs(new_esEs26(xx3000, xx4000, cd), new_esEs18(xx3001, xx4001, cd)) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Maybe, gc)) -> new_esEs17(xx3000, xx4000, gc) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(app(ty_@3, gh), ha), hb), be) -> new_esEs14(xx3000, xx4000, gh, ha, hb) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Ratio, beg)) -> new_esEs7(xx3000, xx4000, beg) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs12(EQ, GT) -> False 16.42/6.25 new_esEs12(GT, EQ) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_Either, bcd), bce)) -> new_esEs13(xx3001, xx4001, bcd, bce) 16.42/6.25 new_esEs4(xx300, xx400, ty_Char) -> new_esEs11(xx300, xx400) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Maybe, bdc)) -> new_esEs17(xx3001, xx4001, bdc) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs7(xx3000, xx4000, dh) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs7(:%(xx3000, xx3001), :%(xx4000, xx4001), bc) -> new_asAs(new_esEs22(xx3000, xx4000, bc), new_esEs21(xx3001, xx4001, bc)) 16.42/6.25 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs11(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs9(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Ordering, be) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Maybe, he), be) -> new_esEs17(xx3000, xx4000, he) 16.42/6.25 new_esEs12(LT, EQ) -> False 16.42/6.25 new_esEs12(EQ, LT) -> False 16.42/6.25 new_primPlusNat0(Succ(xx2800), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx2800, xx4000000))) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_@2, bfe), bff)) -> new_esEs16(xx3000, xx4000, bfe, bff) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Ratio, hg)) -> new_esEs7(xx3000, xx4000, hg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs10(xx300, xx400) 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs14(xx3000, xx4000, ec, ed, ee) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_@0, be) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs6(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.42/6.25 new_esEs15(True, True) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Maybe, bfg)) -> new_esEs17(xx3000, xx4000, bfg) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, GT) -> False 16.42/6.25 new_esEs12(GT, LT) -> False 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs14(xx3000, xx4000, bab, bac, bad) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_[], dg)) -> new_esEs18(xx3001, xx4001, dg) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_[], bef)) -> new_esEs18(xx3000, xx4000, bef) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Ratio, ge), be) -> new_esEs7(xx3000, xx4000, ge) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs8(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs10(xx3002, xx4002) 16.42/6.25 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.42/6.25 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.42/6.25 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs12(xx3002, xx4002) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_@2, bda), bdb)) -> new_esEs16(xx3001, xx4001, bda, bdb) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs17(xx3000, xx4000, eh) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_Either, hh), baa)) -> new_esEs13(xx3000, xx4000, hh, baa) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_[], fa)) -> new_esEs18(xx3000, xx4000, fa) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs11(xx3002, xx4002) 16.42/6.25 new_esEs18(:(xx3000, xx3001), [], cd) -> False 16.42/6.25 new_esEs18([], :(xx4000, xx4001), cd) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs13(xx3000, xx4000, ea, eb) 16.42/6.25 new_primPlusNat1(Succ(xx280), xx400000) -> Succ(Succ(new_primPlusNat0(xx280, xx400000))) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_[], bah)) -> new_esEs18(xx3000, xx4000, bah) 16.42/6.25 new_esEs15(False, True) -> False 16.42/6.25 new_esEs15(True, False) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Int, be) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_primPlusNat0(Succ(xx2800), Zero) -> Succ(xx2800) 16.42/6.25 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.42/6.25 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs14(xx3000, xx4000, bfb, bfc, bfd) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs18(xx3002, xx4002, bcb) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_[], hf), be) -> new_esEs18(xx3000, xx4000, hf) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Ratio, bc)) -> new_esEs7(xx300, xx400, bc) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Ratio, bcc)) -> new_esEs7(xx3001, xx4001, bcc) 16.42/6.25 new_esEs16(@2(xx3000, xx3001), @2(xx4000, xx4001), ca, cb) -> new_asAs(new_esEs20(xx3000, xx4000, ca), new_esEs19(xx3001, xx4001, cb)) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Char, be) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_Either, beh), bfa)) -> new_esEs13(xx3000, xx4000, beh, bfa) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs7(xx3002, xx4002, bba) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs5(xx3002, xx4002) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_primEqNat0(Zero, Zero) -> True 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(ty_@2, dd), de)) -> new_esEs16(xx3001, xx4001, dd, de) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(ty_@2, bec), bed)) -> new_esEs16(xx3000, xx4000, bec, bed) 16.42/6.25 new_asAs(False, xx27) -> False 16.42/6.25 new_esEs4(xx300, xx400, ty_Float) -> new_esEs8(xx300, xx400) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs8(xx3002, xx4002) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(app(ty_@3, ff), fg), fh)) -> new_esEs14(xx3000, xx4000, ff, fg, fh) 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs16(xx3000, xx4000, ef, eg) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_@2, bae), baf)) -> new_esEs16(xx3000, xx4000, bae, baf) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Maybe, bag)) -> new_esEs17(xx3000, xx4000, bag) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs14(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), bf, bg, bh) -> new_asAs(new_esEs25(xx3000, xx4000, bf), new_asAs(new_esEs24(xx3001, xx4001, bg), new_esEs23(xx3002, xx4002, bh))) 16.42/6.25 new_esEs5(@0, @0) -> True 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_[], bdd)) -> new_esEs18(xx3001, xx4001, bdd) 16.42/6.25 16.42/6.25 The set Q consists of the following terms: 16.42/6.25 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Int, x2) 16.42/6.25 new_esEs26(x0, x1, ty_Integer) 16.42/6.25 new_primPlusNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs4(x0, x1, ty_Ordering) 16.42/6.25 new_esEs19(x0, x1, ty_Bool) 16.42/6.25 new_esEs12(EQ, EQ) 16.42/6.25 new_primPlusNat1(Zero, x0) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.42/6.25 new_esEs23(x0, x1, ty_Ordering) 16.42/6.25 new_esEs25(x0, x1, ty_Integer) 16.42/6.25 new_esEs26(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs23(x0, x1, ty_Int) 16.42/6.25 new_primMulNat0(Zero, Zero) 16.42/6.25 new_esEs22(x0, x1, ty_Integer) 16.42/6.25 new_esEs11(Char(x0), Char(x1)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Char, x2) 16.42/6.25 new_esEs23(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) 16.42/6.25 new_esEs4(x0, x1, ty_Int) 16.42/6.25 new_primPlusNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs19(x0, x1, ty_@0) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs24(x0, x1, ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Zero)) 16.42/6.25 new_esEs20(x0, x1, ty_Integer) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Float, x2) 16.42/6.25 new_esEs23(x0, x1, ty_Char) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) 16.42/6.25 new_esEs24(x0, x1, ty_Ordering) 16.42/6.25 new_esEs23(x0, x1, ty_Double) 16.42/6.25 new_esEs25(x0, x1, ty_Bool) 16.42/6.25 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_primPlusNat0(Succ(x0), Zero) 16.42/6.25 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs26(x0, x1, ty_@0) 16.42/6.25 new_esEs19(x0, x1, ty_Integer) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.42/6.25 new_sr(Pos(x0), Neg(x1)) 16.42/6.25 new_sr(Neg(x0), Pos(x1)) 16.42/6.25 new_esEs20(x0, x1, ty_Float) 16.42/6.25 new_esEs4(x0, x1, ty_Char) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Double) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.42/6.25 new_esEs4(x0, x1, ty_Double) 16.42/6.25 new_esEs18(:(x0, x1), :(x2, x3), x4) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Zero)) 16.42/6.25 new_esEs24(x0, x1, ty_Integer) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 16.42/6.25 new_primPlusNat0(Zero, Zero) 16.42/6.25 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs20(x0, x1, ty_Ordering) 16.42/6.25 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs19(x0, x1, ty_Char) 16.42/6.25 new_sr(Pos(x0), Pos(x1)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Float) 16.42/6.25 new_esEs19(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs12(EQ, GT) 16.42/6.25 new_esEs12(GT, EQ) 16.42/6.25 new_esEs25(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.42/6.25 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs18([], :(x0, x1), x2) 16.42/6.25 new_esEs21(x0, x1, ty_Int) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.42/6.25 new_esEs9(Double(x0, x1), Double(x2, x3)) 16.42/6.25 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_@0) 16.42/6.25 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs25(x0, x1, ty_Ordering) 16.42/6.25 new_esEs24(x0, x1, ty_Int) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Zero)) 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Zero)) 16.42/6.25 new_esEs25(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs23(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Double, x2) 16.42/6.25 new_primPlusNat1(Succ(x0), x1) 16.42/6.25 new_esEs24(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.42/6.25 new_esEs19(x0, x1, ty_Int) 16.42/6.25 new_esEs4(x0, x1, ty_Integer) 16.42/6.25 new_esEs12(LT, GT) 16.42/6.25 new_esEs12(GT, LT) 16.42/6.25 new_esEs24(x0, x1, ty_Char) 16.42/6.25 new_esEs24(x0, x1, ty_Double) 16.42/6.25 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Integer) 16.42/6.25 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs12(LT, LT) 16.42/6.25 new_esEs15(False, False) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Ordering) 16.42/6.25 new_esEs7(:%(x0, x1), :%(x2, x3), x4) 16.42/6.25 new_esEs23(x0, x1, ty_Float) 16.42/6.25 new_esEs10(Integer(x0), Integer(x1)) 16.42/6.25 new_primMulNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Bool, x2) 16.42/6.25 new_esEs25(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs19(x0, x1, ty_Double) 16.42/6.25 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.42/6.25 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.42/6.25 new_esEs4(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.42/6.25 new_esEs19(x0, x1, ty_Float) 16.42/6.25 new_esEs6(x0, x1) 16.42/6.25 new_primEqNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs26(x0, x1, ty_Int) 16.42/6.25 new_esEs26(x0, x1, ty_Char) 16.42/6.25 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.42/6.25 new_esEs25(x0, x1, ty_Int) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs17(Nothing, Just(x0), x1) 16.42/6.25 new_esEs4(x0, x1, ty_@0) 16.42/6.25 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs12(GT, GT) 16.42/6.25 new_esEs12(LT, EQ) 16.42/6.25 new_esEs12(EQ, LT) 16.42/6.25 new_esEs19(x0, x1, ty_Ordering) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Char) 16.42/6.25 new_esEs8(Float(x0, x1), Float(x2, x3)) 16.42/6.25 new_esEs26(x0, x1, ty_Ordering) 16.42/6.25 new_esEs17(Just(x0), Nothing, x1) 16.42/6.25 new_esEs22(x0, x1, ty_Int) 16.42/6.25 new_esEs14(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.42/6.25 new_esEs26(x0, x1, ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs24(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Int) 16.42/6.25 new_primMulNat0(Succ(x0), Zero) 16.42/6.25 new_esEs4(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Char) 16.42/6.25 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs25(x0, x1, ty_Double) 16.42/6.25 new_primMulNat0(Succ(x0), Succ(x1)) 16.42/6.25 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_@0, x2) 16.42/6.25 new_esEs13(Left(x0), Left(x1), ty_Integer, x2) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.42/6.25 new_esEs5(@0, @0) 16.42/6.25 new_esEs15(False, True) 16.42/6.25 new_esEs15(True, False) 16.42/6.25 new_asAs(False, x0) 16.42/6.25 new_esEs25(x0, x1, ty_Char) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.42/6.25 new_esEs17(Nothing, Nothing, x0) 16.42/6.25 new_primEqNat0(Zero, Succ(x0)) 16.42/6.25 new_esEs23(x0, x1, ty_Bool) 16.42/6.25 new_primEqNat0(Succ(x0), Zero) 16.42/6.25 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.25 new_esEs18(:(x0, x1), [], x2) 16.42/6.25 new_primEqNat0(Zero, Zero) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Double) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) 16.42/6.25 new_esEs24(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs24(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Bool) 16.42/6.25 new_esEs21(x0, x1, ty_Integer) 16.42/6.25 new_esEs20(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Float) 16.42/6.25 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs20(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.42/6.25 new_esEs15(True, True) 16.42/6.25 new_esEs26(x0, x1, ty_Double) 16.42/6.25 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs25(x0, x1, ty_@0) 16.42/6.25 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.25 new_esEs20(x0, x1, ty_Int) 16.42/6.25 new_esEs20(x0, x1, ty_@0) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Bool) 16.42/6.25 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.42/6.25 new_esEs13(Left(x0), Right(x1), x2, x3) 16.42/6.25 new_esEs13(Right(x0), Left(x1), x2, x3) 16.42/6.25 new_esEs26(x0, x1, ty_Bool) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, ty_Integer) 16.42/6.25 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_Int) 16.42/6.25 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.25 new_esEs20(x0, x1, ty_Double) 16.42/6.25 new_sr(Neg(x0), Neg(x1)) 16.42/6.25 new_esEs25(x0, x1, ty_Float) 16.42/6.25 new_esEs20(x0, x1, ty_Char) 16.42/6.25 new_esEs4(x0, x1, ty_Float) 16.42/6.25 new_esEs24(x0, x1, app(ty_[], x2)) 16.42/6.25 new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.42/6.25 new_esEs23(x0, x1, ty_Integer) 16.42/6.25 new_esEs17(Just(x0), Just(x1), ty_@0) 16.42/6.25 new_asAs(True, x0) 16.42/6.25 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.42/6.25 new_esEs18([], [], x0) 16.42/6.25 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.42/6.25 16.42/6.25 We have to consider all minimal (P,Q,R)-chains. 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (20) QDPSizeChangeProof (EQUIVALENT) 16.42/6.25 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. 16.42/6.25 16.42/6.25 From the DPs we obtained the following set of size-change graphs: 16.42/6.25 *new_psPs(Nothing, :(Just(xx400), xx41), xx5, ba) -> new_psPs(Nothing, xx41, xx5, ba) 16.42/6.25 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3, 4 >= 4 16.42/6.25 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (21) 16.42/6.25 YES 16.42/6.25 16.42/6.25 ---------------------------------------- 16.42/6.25 16.42/6.25 (22) 16.42/6.25 Obligation: 16.42/6.25 Q DP problem: 16.42/6.25 The TRS P consists of the following rules: 16.42/6.25 16.42/6.25 new_psPs(Just(xx300), :(Nothing, xx41), xx5, ba) -> new_psPs0(xx300, False, xx41, xx5, ba) 16.42/6.25 new_psPs0(xx11, False, xx13, xx14, bb) -> new_psPs(Just(xx11), xx13, xx14, bb) 16.42/6.25 new_psPs(Just(xx300), :(Just(xx400), xx41), xx5, ba) -> new_psPs0(xx300, new_esEs4(xx300, xx400, ba), xx41, xx5, ba) 16.42/6.25 16.42/6.25 The TRS R consists of the following rules: 16.42/6.25 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Int) -> new_esEs6(xx3002, xx4002) 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Maybe, cc)) -> new_esEs17(xx300, xx400, cc) 16.42/6.25 new_primPlusNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_Either, fc), fd)) -> new_esEs13(xx3000, xx4000, fc, fd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_Either, bd), be)) -> new_esEs13(xx300, xx400, bd, be) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_Either, bbb), bbc)) -> new_esEs13(xx3002, xx4002, bbb, bbc) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Maybe, bee)) -> new_esEs17(xx3000, xx4000, bee) 16.42/6.25 new_esEs4(xx300, xx400, ty_Bool) -> new_esEs15(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Integer, be) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_[], bfh)) -> new_esEs18(xx3000, xx4000, bfh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_@0) -> new_esEs5(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, app(app(app(ty_@3, bf), bg), bh)) -> new_esEs14(xx300, xx400, bf, bg, bh) 16.42/6.25 new_primMulNat0(Succ(xx300100), Succ(xx400000)) -> new_primPlusNat1(new_primMulNat0(xx300100, Succ(xx400000)), xx400000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(ty_Either, bdf), bdg)) -> new_esEs13(xx3000, xx4000, bdf, bdg) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Right(xx4000), bd, be) -> False 16.42/6.25 new_esEs13(Right(xx3000), Left(xx4000), bd, be) -> False 16.42/6.25 new_esEs12(GT, GT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_@2, hc), hd), be) -> new_esEs16(xx3000, xx4000, hc, hd) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Double) -> new_esEs9(xx3002, xx4002) 16.42/6.25 new_asAs(True, xx27) -> xx27 16.42/6.25 new_esEs10(Integer(xx3000), Integer(xx4000)) -> new_primEqInt(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs15(False, False) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Ratio, fb)) -> new_esEs7(xx3000, xx4000, fb) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Zero)) -> False 16.42/6.25 new_primEqInt(Pos(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Maybe, df)) -> new_esEs17(xx3001, xx4001, df) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(ty_Either, cf), cg)) -> new_esEs13(xx3001, xx4001, cf, cg) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_Maybe, bca)) -> new_esEs17(xx3002, xx4002, bca) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Bool) -> new_esEs15(xx3002, xx4002) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, ty_Int) -> new_esEs6(xx300, xx400) 16.42/6.25 new_esEs4(xx300, xx400, ty_Double) -> new_esEs9(xx300, xx400) 16.42/6.25 new_primEqNat0(Succ(xx30000), Succ(xx40000)) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs17(Nothing, Nothing, cc) -> True 16.42/6.25 new_esEs17(Nothing, Just(xx4000), cc) -> False 16.42/6.25 new_esEs17(Just(xx3000), Nothing, cc) -> False 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(app(ty_@3, bbd), bbe), bbf)) -> new_esEs14(xx3002, xx4002, bbd, bbe, bbf) 16.42/6.25 new_esEs18([], [], cd) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Double, be) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs12(EQ, EQ) -> True 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(app(ty_@2, ga), gb)) -> new_esEs16(xx3000, xx4000, ga, gb) 16.42/6.25 new_primMulNat0(Zero, Zero) -> Zero 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_Ratio, bde)) -> new_esEs7(xx3000, xx4000, bde) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_[], gd)) -> new_esEs18(xx3000, xx4000, gd) 16.42/6.25 new_esEs4(xx300, xx400, app(app(ty_@2, ca), cb)) -> new_esEs16(xx300, xx400, ca, cb) 16.42/6.25 new_esEs23(xx3002, xx4002, app(app(ty_@2, bbg), bbh)) -> new_esEs16(xx3002, xx4002, bbg, bbh) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_[], cd)) -> new_esEs18(xx300, xx400, cd) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, LT) -> True 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(ty_Either, gf), gg), be) -> new_esEs13(xx3000, xx4000, gf, gg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Ordering) -> new_esEs12(xx300, xx400) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Bool, be) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_primEqNat0(Succ(xx30000), Zero) -> False 16.42/6.25 new_primEqNat0(Zero, Succ(xx40000)) -> False 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_Ratio, ce)) -> new_esEs7(xx3001, xx4001, ce) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_esEs19(xx3001, xx4001, app(app(app(ty_@3, da), db), dc)) -> new_esEs14(xx3001, xx4001, da, db, dc) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, app(app(app(ty_@3, bdh), bea), beb)) -> new_esEs14(xx3000, xx4000, bdh, bea, beb) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Bool) -> new_esEs15(xx3001, xx4001) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Zero)) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(app(ty_@3, bcf), bcg), bch)) -> new_esEs14(xx3001, xx4001, bcf, bcg, bch) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Pos(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Float, be) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs18(:(xx3000, xx3001), :(xx4000, xx4001), cd) -> new_asAs(new_esEs26(xx3000, xx4000, cd), new_esEs18(xx3001, xx4001, cd)) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_sr(Pos(xx30010), Neg(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_sr(Neg(xx30010), Pos(xx40000)) -> Neg(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), app(ty_Maybe, gc)) -> new_esEs17(xx3000, xx4000, gc) 16.42/6.25 new_primEqInt(Pos(Succ(xx30000)), Neg(xx4000)) -> False 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Pos(xx4000)) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(app(app(ty_@3, gh), ha), hb), be) -> new_esEs14(xx3000, xx4000, gh, ha, hb) 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Ratio, beg)) -> new_esEs7(xx3000, xx4000, beg) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs21(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.25 new_esEs12(EQ, GT) -> False 16.42/6.25 new_esEs12(GT, EQ) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Float) -> new_esEs8(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_Either, bcd), bce)) -> new_esEs13(xx3001, xx4001, bcd, bce) 16.42/6.25 new_esEs4(xx300, xx400, ty_Char) -> new_esEs11(xx300, xx400) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Maybe, bdc)) -> new_esEs17(xx3001, xx4001, bdc) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_@0) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs17(Just(xx3000), Just(xx4000), ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Ratio, dh)) -> new_esEs7(xx3000, xx4000, dh) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs7(:%(xx3000, xx3001), :%(xx4000, xx4001), bc) -> new_asAs(new_esEs22(xx3000, xx4000, bc), new_esEs21(xx3001, xx4001, bc)) 16.42/6.25 new_sr(Neg(xx30010), Neg(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs11(Char(xx3000), Char(xx4000)) -> new_primEqNat0(xx3000, xx4000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_@0) -> new_esEs5(xx3001, xx4001) 16.42/6.25 new_esEs22(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs9(Double(xx3000, xx3001), Double(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Succ(xx40000))) -> False 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Succ(xx40000))) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Ordering, be) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Maybe, he), be) -> new_esEs17(xx3000, xx4000, he) 16.42/6.25 new_esEs12(LT, EQ) -> False 16.42/6.25 new_esEs12(EQ, LT) -> False 16.42/6.25 new_primPlusNat0(Succ(xx2800), Succ(xx4000000)) -> Succ(Succ(new_primPlusNat0(xx2800, xx4000000))) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_@2, bfe), bff)) -> new_esEs16(xx3000, xx4000, bfe, bff) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Ratio, hg)) -> new_esEs7(xx3000, xx4000, hg) 16.42/6.25 new_esEs4(xx300, xx400, ty_Integer) -> new_esEs10(xx300, xx400) 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs14(xx3000, xx4000, ec, ed, ee) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_@0, be) -> new_esEs5(xx3000, xx4000) 16.42/6.25 new_esEs6(xx300, xx400) -> new_primEqInt(xx300, xx400) 16.42/6.25 new_esEs15(True, True) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(ty_Maybe, bfg)) -> new_esEs17(xx3000, xx4000, bfg) 16.42/6.25 new_primEqInt(Neg(Succ(xx30000)), Neg(Succ(xx40000))) -> new_primEqNat0(xx30000, xx40000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Int) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_esEs12(LT, GT) -> False 16.42/6.25 new_esEs12(GT, LT) -> False 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(app(ty_@3, bab), bac), bad)) -> new_esEs14(xx3000, xx4000, bab, bac, bad) 16.42/6.25 new_esEs19(xx3001, xx4001, app(ty_[], dg)) -> new_esEs18(xx3001, xx4001, dg) 16.42/6.25 new_esEs25(xx3000, xx4000, app(ty_[], bef)) -> new_esEs18(xx3000, xx4000, bef) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_Ratio, ge), be) -> new_esEs7(xx3000, xx4000, ge) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Double) -> new_esEs9(xx3001, xx4001) 16.42/6.25 new_esEs8(Float(xx3000, xx3001), Float(xx4000, xx4001)) -> new_esEs6(new_sr(xx3000, xx4001), new_sr(xx3001, xx4000)) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Integer) -> new_esEs10(xx3002, xx4002) 16.42/6.25 new_primMulNat0(Succ(xx300100), Zero) -> Zero 16.42/6.25 new_primMulNat0(Zero, Succ(xx400000)) -> Zero 16.42/6.25 new_sr(Pos(xx30010), Pos(xx40000)) -> Pos(new_primMulNat0(xx30010, xx40000)) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Integer) -> new_esEs10(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Ordering) -> new_esEs12(xx3002, xx4002) 16.42/6.25 new_esEs24(xx3001, xx4001, app(app(ty_@2, bda), bdb)) -> new_esEs16(xx3001, xx4001, bda, bdb) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_Maybe, eh)) -> new_esEs17(xx3000, xx4000, eh) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_Either, hh), baa)) -> new_esEs13(xx3000, xx4000, hh, baa) 16.42/6.25 new_esEs20(xx3000, xx4000, app(ty_[], fa)) -> new_esEs18(xx3000, xx4000, fa) 16.42/6.25 new_esEs23(xx3002, xx4002, ty_Char) -> new_esEs11(xx3002, xx4002) 16.42/6.25 new_esEs18(:(xx3000, xx3001), [], cd) -> False 16.42/6.25 new_esEs18([], :(xx4000, xx4001), cd) -> False 16.42/6.25 new_esEs20(xx3000, xx4000, app(app(ty_Either, ea), eb)) -> new_esEs13(xx3000, xx4000, ea, eb) 16.42/6.25 new_primPlusNat1(Succ(xx280), xx400000) -> Succ(Succ(new_primPlusNat0(xx280, xx400000))) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Float) -> new_esEs8(xx3001, xx4001) 16.42/6.25 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_[], bah)) -> new_esEs18(xx3000, xx4000, bah) 16.42/6.25 new_esEs15(False, True) -> False 16.42/6.25 new_esEs15(True, False) -> False 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Int, be) -> new_esEs6(xx3000, xx4000) 16.42/6.25 new_primPlusNat0(Succ(xx2800), Zero) -> Succ(xx2800) 16.42/6.25 new_primPlusNat0(Zero, Succ(xx4000000)) -> Succ(xx4000000) 16.42/6.25 new_esEs25(xx3000, xx4000, ty_Ordering) -> new_esEs12(xx3000, xx4000) 16.42/6.25 new_primEqInt(Neg(Zero), Neg(Zero)) -> True 16.42/6.25 new_primPlusNat1(Zero, xx400000) -> Succ(xx400000) 16.42/6.25 new_esEs24(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(app(ty_@3, bfb), bfc), bfd)) -> new_esEs14(xx3000, xx4000, bfb, bfc, bfd) 16.42/6.25 new_esEs20(xx3000, xx4000, ty_Char) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_esEs23(xx3002, xx4002, app(ty_[], bcb)) -> new_esEs18(xx3002, xx4002, bcb) 16.42/6.25 new_esEs19(xx3001, xx4001, ty_Ordering) -> new_esEs12(xx3001, xx4001) 16.42/6.25 new_esEs26(xx3000, xx4000, ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), app(ty_[], hf), be) -> new_esEs18(xx3000, xx4000, hf) 16.42/6.25 new_esEs4(xx300, xx400, app(ty_Ratio, bc)) -> new_esEs7(xx300, xx400, bc) 16.42/6.25 new_esEs24(xx3001, xx4001, app(ty_Ratio, bcc)) -> new_esEs7(xx3001, xx4001, bcc) 16.42/6.25 new_esEs16(@2(xx3000, xx3001), @2(xx4000, xx4001), ca, cb) -> new_asAs(new_esEs20(xx3000, xx4000, ca), new_esEs19(xx3001, xx4001, cb)) 16.42/6.25 new_esEs13(Left(xx3000), Left(xx4000), ty_Char, be) -> new_esEs11(xx3000, xx4000) 16.42/6.25 new_primEqInt(Pos(Zero), Neg(Zero)) -> True 16.42/6.25 new_primEqInt(Neg(Zero), Pos(Zero)) -> True 16.42/6.25 new_esEs26(xx3000, xx4000, app(app(ty_Either, beh), bfa)) -> new_esEs13(xx3000, xx4000, beh, bfa) 16.42/6.26 new_esEs23(xx3002, xx4002, app(ty_Ratio, bba)) -> new_esEs7(xx3002, xx4002, bba) 16.42/6.26 new_esEs23(xx3002, xx4002, ty_@0) -> new_esEs5(xx3002, xx4002) 16.42/6.26 new_esEs24(xx3001, xx4001, ty_Integer) -> new_esEs10(xx3001, xx4001) 16.42/6.26 new_primEqNat0(Zero, Zero) -> True 16.42/6.26 new_esEs19(xx3001, xx4001, ty_Char) -> new_esEs11(xx3001, xx4001) 16.42/6.26 new_esEs17(Just(xx3000), Just(xx4000), ty_Double) -> new_esEs9(xx3000, xx4000) 16.42/6.26 new_esEs19(xx3001, xx4001, app(app(ty_@2, dd), de)) -> new_esEs16(xx3001, xx4001, dd, de) 16.42/6.26 new_esEs25(xx3000, xx4000, app(app(ty_@2, bec), bed)) -> new_esEs16(xx3000, xx4000, bec, bed) 16.42/6.26 new_asAs(False, xx27) -> False 16.42/6.26 new_esEs4(xx300, xx400, ty_Float) -> new_esEs8(xx300, xx400) 16.42/6.26 new_esEs23(xx3002, xx4002, ty_Float) -> new_esEs8(xx3002, xx4002) 16.42/6.26 new_esEs17(Just(xx3000), Just(xx4000), app(app(app(ty_@3, ff), fg), fh)) -> new_esEs14(xx3000, xx4000, ff, fg, fh) 16.42/6.26 new_esEs20(xx3000, xx4000, app(app(ty_@2, ef), eg)) -> new_esEs16(xx3000, xx4000, ef, eg) 16.42/6.26 new_esEs17(Just(xx3000), Just(xx4000), ty_Bool) -> new_esEs15(xx3000, xx4000) 16.42/6.26 new_esEs13(Right(xx3000), Right(xx4000), bd, app(app(ty_@2, bae), baf)) -> new_esEs16(xx3000, xx4000, bae, baf) 16.42/6.26 new_esEs13(Right(xx3000), Right(xx4000), bd, app(ty_Maybe, bag)) -> new_esEs17(xx3000, xx4000, bag) 16.42/6.26 new_esEs24(xx3001, xx4001, ty_Int) -> new_esEs6(xx3001, xx4001) 16.42/6.26 new_esEs14(@3(xx3000, xx3001, xx3002), @3(xx4000, xx4001, xx4002), bf, bg, bh) -> new_asAs(new_esEs25(xx3000, xx4000, bf), new_asAs(new_esEs24(xx3001, xx4001, bg), new_esEs23(xx3002, xx4002, bh))) 16.42/6.26 new_esEs5(@0, @0) -> True 16.42/6.26 new_esEs24(xx3001, xx4001, app(ty_[], bdd)) -> new_esEs18(xx3001, xx4001, bdd) 16.42/6.26 16.42/6.26 The set Q consists of the following terms: 16.42/6.26 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(ty_Ratio, x3)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Int, x2) 16.42/6.26 new_esEs26(x0, x1, ty_Integer) 16.42/6.26 new_primPlusNat0(Zero, Succ(x0)) 16.42/6.26 new_esEs4(x0, x1, ty_Ordering) 16.42/6.26 new_esEs19(x0, x1, ty_Bool) 16.42/6.26 new_esEs12(EQ, EQ) 16.42/6.26 new_primPlusNat1(Zero, x0) 16.42/6.26 new_primEqInt(Neg(Succ(x0)), Neg(Zero)) 16.42/6.26 new_esEs23(x0, x1, ty_Ordering) 16.42/6.26 new_esEs25(x0, x1, ty_Integer) 16.42/6.26 new_esEs26(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs23(x0, x1, ty_Int) 16.42/6.26 new_primMulNat0(Zero, Zero) 16.42/6.26 new_esEs22(x0, x1, ty_Integer) 16.42/6.26 new_esEs11(Char(x0), Char(x1)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Char, x2) 16.42/6.26 new_esEs23(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(ty_[], x2), x3) 16.42/6.26 new_esEs4(x0, x1, ty_Int) 16.42/6.26 new_primPlusNat0(Succ(x0), Succ(x1)) 16.42/6.26 new_esEs19(x0, x1, ty_@0) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs24(x0, x1, ty_Float) 16.42/6.26 new_esEs23(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_primEqInt(Pos(Zero), Pos(Zero)) 16.42/6.26 new_esEs20(x0, x1, ty_Integer) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Float, x2) 16.42/6.26 new_esEs23(x0, x1, ty_Char) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Ordering, x2) 16.42/6.26 new_esEs24(x0, x1, ty_Ordering) 16.42/6.26 new_esEs23(x0, x1, ty_Double) 16.42/6.26 new_esEs25(x0, x1, ty_Bool) 16.42/6.26 new_esEs23(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_primPlusNat0(Succ(x0), Zero) 16.42/6.26 new_esEs19(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs26(x0, x1, ty_@0) 16.42/6.26 new_esEs19(x0, x1, ty_Integer) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(ty_Maybe, x2), x3) 16.42/6.26 new_sr(Pos(x0), Neg(x1)) 16.42/6.26 new_sr(Neg(x0), Pos(x1)) 16.42/6.26 new_esEs20(x0, x1, ty_Float) 16.42/6.26 new_esEs4(x0, x1, ty_Char) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Double) 16.42/6.26 new_primEqInt(Pos(Succ(x0)), Pos(Zero)) 16.42/6.26 new_esEs4(x0, x1, ty_Double) 16.42/6.26 new_esEs18(:(x0, x1), :(x2, x3), x4) 16.42/6.26 new_primEqInt(Neg(Zero), Neg(Zero)) 16.42/6.26 new_esEs24(x0, x1, ty_Integer) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(ty_[], x2)) 16.42/6.26 new_primPlusNat0(Zero, Zero) 16.42/6.26 new_esEs20(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_esEs4(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs20(x0, x1, ty_Ordering) 16.42/6.26 new_esEs26(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs19(x0, x1, ty_Char) 16.42/6.26 new_sr(Pos(x0), Pos(x1)) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Float) 16.42/6.26 new_esEs19(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs12(EQ, GT) 16.42/6.26 new_esEs12(GT, EQ) 16.42/6.26 new_esEs25(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(ty_Maybe, x3)) 16.42/6.26 new_esEs25(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs4(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs25(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs4(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs18([], :(x0, x1), x2) 16.42/6.26 new_esEs21(x0, x1, ty_Int) 16.42/6.26 new_primEqInt(Neg(Succ(x0)), Neg(Succ(x1))) 16.42/6.26 new_esEs9(Double(x0, x1), Double(x2, x3)) 16.42/6.26 new_esEs24(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_@0) 16.42/6.26 new_esEs19(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_esEs25(x0, x1, ty_Ordering) 16.42/6.26 new_esEs24(x0, x1, ty_Int) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(ty_[], x3)) 16.42/6.26 new_primEqInt(Pos(Zero), Neg(Zero)) 16.42/6.26 new_primEqInt(Neg(Zero), Pos(Zero)) 16.42/6.26 new_esEs25(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_esEs23(x0, x1, ty_@0) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Double, x2) 16.42/6.26 new_primPlusNat1(Succ(x0), x1) 16.42/6.26 new_esEs24(x0, x1, ty_Bool) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(app(app(ty_@3, x2), x3), x4), x5) 16.42/6.26 new_esEs19(x0, x1, ty_Int) 16.42/6.26 new_esEs4(x0, x1, ty_Integer) 16.42/6.26 new_esEs12(LT, GT) 16.42/6.26 new_esEs12(GT, LT) 16.42/6.26 new_esEs24(x0, x1, ty_Char) 16.42/6.26 new_esEs24(x0, x1, ty_Double) 16.42/6.26 new_esEs20(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(ty_Maybe, x2)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Integer) 16.42/6.26 new_esEs19(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs12(LT, LT) 16.42/6.26 new_esEs15(False, False) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Ordering) 16.42/6.26 new_esEs7(:%(x0, x1), :%(x2, x3), x4) 16.42/6.26 new_esEs23(x0, x1, ty_Float) 16.42/6.26 new_esEs10(Integer(x0), Integer(x1)) 16.42/6.26 new_primMulNat0(Zero, Succ(x0)) 16.42/6.26 new_esEs4(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Bool, x2) 16.42/6.26 new_esEs25(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs20(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs19(x0, x1, ty_Double) 16.42/6.26 new_esEs23(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_primEqInt(Pos(Succ(x0)), Neg(x1)) 16.42/6.26 new_primEqInt(Neg(Succ(x0)), Pos(x1)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(app(ty_@2, x2), x3)) 16.42/6.26 new_primEqInt(Neg(Zero), Neg(Succ(x0))) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(ty_Ratio, x2)) 16.42/6.26 new_esEs4(x0, x1, ty_Bool) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(app(ty_@2, x2), x3), x4) 16.42/6.26 new_esEs19(x0, x1, ty_Float) 16.42/6.26 new_esEs6(x0, x1) 16.42/6.26 new_primEqNat0(Succ(x0), Succ(x1)) 16.42/6.26 new_esEs26(x0, x1, ty_Int) 16.42/6.26 new_esEs26(x0, x1, ty_Char) 16.42/6.26 new_esEs25(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_primEqInt(Pos(Zero), Pos(Succ(x0))) 16.42/6.26 new_esEs25(x0, x1, ty_Int) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_@2, x3), x4)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs17(Nothing, Just(x0), x1) 16.42/6.26 new_esEs4(x0, x1, ty_@0) 16.42/6.26 new_esEs19(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs12(GT, GT) 16.42/6.26 new_esEs12(LT, EQ) 16.42/6.26 new_esEs12(EQ, LT) 16.42/6.26 new_esEs19(x0, x1, ty_Ordering) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Char) 16.42/6.26 new_esEs8(Float(x0, x1), Float(x2, x3)) 16.42/6.26 new_esEs26(x0, x1, ty_Ordering) 16.42/6.26 new_esEs17(Just(x0), Nothing, x1) 16.42/6.26 new_esEs22(x0, x1, ty_Int) 16.42/6.26 new_esEs14(@3(x0, x1, x2), @3(x3, x4, x5), x6, x7, x8) 16.42/6.26 new_esEs26(x0, x1, ty_Float) 16.42/6.26 new_esEs23(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs24(x0, x1, ty_@0) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Int) 16.42/6.26 new_primMulNat0(Succ(x0), Zero) 16.42/6.26 new_esEs4(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Char) 16.42/6.26 new_esEs20(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs25(x0, x1, ty_Double) 16.42/6.26 new_primMulNat0(Succ(x0), Succ(x1)) 16.42/6.26 new_esEs24(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_@0, x2) 16.42/6.26 new_esEs13(Left(x0), Left(x1), ty_Integer, x2) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(ty_Ratio, x2), x3) 16.42/6.26 new_esEs5(@0, @0) 16.42/6.26 new_esEs15(False, True) 16.42/6.26 new_esEs15(True, False) 16.42/6.26 new_asAs(False, x0) 16.42/6.26 new_esEs25(x0, x1, ty_Char) 16.42/6.26 new_primEqInt(Pos(Zero), Neg(Succ(x0))) 16.42/6.26 new_primEqInt(Neg(Zero), Pos(Succ(x0))) 16.42/6.26 new_esEs17(Nothing, Nothing, x0) 16.42/6.26 new_primEqNat0(Zero, Succ(x0)) 16.42/6.26 new_esEs23(x0, x1, ty_Bool) 16.42/6.26 new_primEqNat0(Succ(x0), Zero) 16.42/6.26 new_esEs4(x0, x1, app(app(ty_Either, x2), x3)) 16.42/6.26 new_esEs18(:(x0, x1), [], x2) 16.42/6.26 new_primEqNat0(Zero, Zero) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Double) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Ordering) 16.42/6.26 new_esEs24(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs24(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Bool) 16.42/6.26 new_esEs21(x0, x1, ty_Integer) 16.42/6.26 new_esEs20(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs20(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs16(@2(x0, x1), @2(x2, x3), x4, x5) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Float) 16.42/6.26 new_esEs23(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs20(x0, x1, ty_Bool) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(app(app(ty_@3, x3), x4), x5)) 16.42/6.26 new_esEs15(True, True) 16.42/6.26 new_esEs26(x0, x1, ty_Double) 16.42/6.26 new_esEs26(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs25(x0, x1, ty_@0) 16.42/6.26 new_esEs24(x0, x1, app(app(app(ty_@3, x2), x3), x4)) 16.42/6.26 new_esEs20(x0, x1, ty_Int) 16.42/6.26 new_esEs20(x0, x1, ty_@0) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Bool) 16.42/6.26 new_esEs26(x0, x1, app(ty_Ratio, x2)) 16.42/6.26 new_esEs13(Left(x0), Right(x1), x2, x3) 16.42/6.26 new_esEs13(Right(x0), Left(x1), x2, x3) 16.42/6.26 new_esEs26(x0, x1, ty_Bool) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, ty_Integer) 16.42/6.26 new_esEs26(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs13(Right(x0), Right(x1), x2, app(app(ty_Either, x3), x4)) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_Int) 16.42/6.26 new_esEs19(x0, x1, app(app(ty_@2, x2), x3)) 16.42/6.26 new_esEs20(x0, x1, ty_Double) 16.42/6.26 new_sr(Neg(x0), Neg(x1)) 16.42/6.26 new_esEs25(x0, x1, ty_Float) 16.42/6.26 new_esEs20(x0, x1, ty_Char) 16.42/6.26 new_esEs4(x0, x1, ty_Float) 16.42/6.26 new_esEs24(x0, x1, app(ty_[], x2)) 16.42/6.26 new_esEs13(Left(x0), Left(x1), app(app(ty_Either, x2), x3), x4) 16.42/6.26 new_esEs23(x0, x1, ty_Integer) 16.42/6.26 new_esEs17(Just(x0), Just(x1), ty_@0) 16.42/6.26 new_asAs(True, x0) 16.42/6.26 new_primEqInt(Pos(Succ(x0)), Pos(Succ(x1))) 16.42/6.26 new_esEs18([], [], x0) 16.42/6.26 new_esEs26(x0, x1, app(ty_Maybe, x2)) 16.42/6.26 16.42/6.26 We have to consider all minimal (P,Q,R)-chains. 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (23) QDPSizeChangeProof (EQUIVALENT) 16.42/6.26 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 16.42/6.26 16.42/6.26 From the DPs we obtained the following set of size-change graphs: 16.42/6.26 *new_psPs0(xx11, False, xx13, xx14, bb) -> new_psPs(Just(xx11), xx13, xx14, bb) 16.42/6.26 The graph contains the following edges 3 >= 2, 4 >= 3, 5 >= 4 16.42/6.26 16.42/6.26 16.42/6.26 *new_psPs(Just(xx300), :(Nothing, xx41), xx5, ba) -> new_psPs0(xx300, False, xx41, xx5, ba) 16.42/6.26 The graph contains the following edges 1 > 1, 2 > 3, 3 >= 4, 4 >= 5 16.42/6.26 16.42/6.26 16.42/6.26 *new_psPs(Just(xx300), :(Just(xx400), xx41), xx5, ba) -> new_psPs0(xx300, new_esEs4(xx300, xx400, ba), xx41, xx5, ba) 16.42/6.26 The graph contains the following edges 1 > 1, 2 > 3, 3 >= 4, 4 >= 5 16.42/6.26 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (24) 16.42/6.26 YES 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (25) 16.42/6.26 Obligation: 16.42/6.26 Q DP problem: 16.42/6.26 The TRS P consists of the following rules: 16.42/6.26 16.42/6.26 new_foldr(xx4, :(xx30, xx31), ba) -> new_foldr(xx4, xx31, ba) 16.42/6.26 16.42/6.26 R is empty. 16.42/6.26 Q is empty. 16.42/6.26 We have to consider all minimal (P,Q,R)-chains. 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (26) QDPSizeChangeProof (EQUIVALENT) 16.42/6.26 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 16.42/6.26 16.42/6.26 From the DPs we obtained the following set of size-change graphs: 16.42/6.26 *new_foldr(xx4, :(xx30, xx31), ba) -> new_foldr(xx4, xx31, ba) 16.42/6.26 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 16.42/6.26 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (27) 16.42/6.26 YES 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (28) 16.42/6.26 Obligation: 16.42/6.26 Q DP problem: 16.42/6.26 The TRS P consists of the following rules: 16.42/6.26 16.42/6.26 new_primMulNat(Succ(xx300100), Succ(xx400000)) -> new_primMulNat(xx300100, Succ(xx400000)) 16.42/6.26 16.42/6.26 R is empty. 16.42/6.26 Q is empty. 16.42/6.26 We have to consider all minimal (P,Q,R)-chains. 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (29) QDPSizeChangeProof (EQUIVALENT) 16.42/6.26 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 16.42/6.26 16.42/6.26 From the DPs we obtained the following set of size-change graphs: 16.42/6.26 *new_primMulNat(Succ(xx300100), Succ(xx400000)) -> new_primMulNat(xx300100, Succ(xx400000)) 16.42/6.26 The graph contains the following edges 1 > 1, 2 >= 2 16.42/6.26 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (30) 16.42/6.26 YES 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (31) 16.42/6.26 Obligation: 16.42/6.26 Q DP problem: 16.42/6.26 The TRS P consists of the following rules: 16.42/6.26 16.42/6.26 new_primPlusNat(Succ(xx2800), Succ(xx4000000)) -> new_primPlusNat(xx2800, xx4000000) 16.42/6.26 16.42/6.26 R is empty. 16.42/6.26 Q is empty. 16.42/6.26 We have to consider all minimal (P,Q,R)-chains. 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (32) QDPSizeChangeProof (EQUIVALENT) 16.42/6.26 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 16.42/6.26 16.42/6.26 From the DPs we obtained the following set of size-change graphs: 16.42/6.26 *new_primPlusNat(Succ(xx2800), Succ(xx4000000)) -> new_primPlusNat(xx2800, xx4000000) 16.42/6.26 The graph contains the following edges 1 > 1, 2 > 2 16.42/6.26 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (33) 16.42/6.26 YES 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (34) 16.42/6.26 Obligation: 16.42/6.26 Q DP problem: 16.42/6.26 The TRS P consists of the following rules: 16.42/6.26 16.42/6.26 new_primEqNat(Succ(xx30000), Succ(xx40000)) -> new_primEqNat(xx30000, xx40000) 16.42/6.26 16.42/6.26 R is empty. 16.42/6.26 Q is empty. 16.42/6.26 We have to consider all minimal (P,Q,R)-chains. 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (35) QDPSizeChangeProof (EQUIVALENT) 16.42/6.26 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 16.42/6.26 16.42/6.26 From the DPs we obtained the following set of size-change graphs: 16.42/6.26 *new_primEqNat(Succ(xx30000), Succ(xx40000)) -> new_primEqNat(xx30000, xx40000) 16.42/6.26 The graph contains the following edges 1 > 1, 2 > 2 16.42/6.26 16.42/6.26 16.42/6.26 ---------------------------------------- 16.42/6.26 16.42/6.26 (36) 16.42/6.26 YES 16.57/7.40 EOF