23.75/9.09 YES 25.69/9.63 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 25.69/9.63 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.69/9.63 25.69/9.63 25.69/9.63 H-Termination with start terms of the given HASKELL could be proven: 25.69/9.63 25.69/9.63 (0) HASKELL 25.69/9.63 (1) CR [EQUIVALENT, 0 ms] 25.69/9.63 (2) HASKELL 25.69/9.63 (3) BR [EQUIVALENT, 0 ms] 25.69/9.63 (4) HASKELL 25.69/9.63 (5) COR [EQUIVALENT, 17 ms] 25.69/9.63 (6) HASKELL 25.69/9.63 (7) Narrow [SOUND, 0 ms] 25.69/9.63 (8) AND 25.69/9.63 (9) QDP 25.69/9.63 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (11) YES 25.69/9.63 (12) QDP 25.69/9.63 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 25.69/9.63 (14) AND 25.69/9.63 (15) QDP 25.69/9.63 (16) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (17) QDP 25.69/9.63 (18) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (19) QDP 25.69/9.63 (20) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (21) QDP 25.69/9.63 (22) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (23) QDP 25.69/9.63 (24) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (25) QDP 25.69/9.63 (26) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (27) QDP 25.69/9.63 (28) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (29) QDP 25.69/9.63 (30) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (31) QDP 25.69/9.63 (32) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (33) YES 25.69/9.63 (34) QDP 25.69/9.63 (35) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (36) QDP 25.69/9.63 (37) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (38) QDP 25.69/9.63 (39) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (40) QDP 25.69/9.63 (41) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (42) QDP 25.69/9.63 (43) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (44) QDP 25.69/9.63 (45) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (46) QDP 25.69/9.63 (47) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (48) QDP 25.69/9.63 (49) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (50) QDP 25.69/9.63 (51) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (52) YES 25.69/9.63 (53) QDP 25.69/9.63 (54) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (55) QDP 25.69/9.63 (56) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (57) QDP 25.69/9.63 (58) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (59) QDP 25.69/9.63 (60) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (61) QDP 25.69/9.63 (62) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (63) QDP 25.69/9.63 (64) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (65) QDP 25.69/9.63 (66) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (67) QDP 25.69/9.63 (68) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (69) QDP 25.69/9.63 (70) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (71) YES 25.69/9.63 (72) QDP 25.69/9.63 (73) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (74) QDP 25.69/9.63 (75) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (76) QDP 25.69/9.63 (77) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (78) QDP 25.69/9.63 (79) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (80) QDP 25.69/9.63 (81) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (82) QDP 25.69/9.63 (83) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (84) QDP 25.69/9.63 (85) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (86) QDP 25.69/9.63 (87) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (88) QDP 25.69/9.63 (89) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (90) YES 25.69/9.63 (91) QDP 25.69/9.63 (92) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (93) QDP 25.69/9.63 (94) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (95) QDP 25.69/9.63 (96) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (97) QDP 25.69/9.63 (98) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (99) QDP 25.69/9.63 (100) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (101) QDP 25.69/9.63 (102) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (103) QDP 25.69/9.63 (104) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (105) QDP 25.69/9.63 (106) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (107) QDP 25.69/9.63 (108) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (109) YES 25.69/9.63 (110) QDP 25.69/9.63 (111) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (112) QDP 25.69/9.63 (113) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (114) QDP 25.69/9.63 (115) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (116) QDP 25.69/9.63 (117) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (118) QDP 25.69/9.63 (119) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (120) QDP 25.69/9.63 (121) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (122) QDP 25.69/9.63 (123) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (124) QDP 25.69/9.63 (125) TransformationProof [EQUIVALENT, 0 ms] 25.69/9.63 (126) QDP 25.69/9.63 (127) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (128) YES 25.69/9.63 (129) QDP 25.69/9.63 (130) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (131) YES 25.69/9.63 (132) QDP 25.69/9.63 (133) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (134) YES 25.69/9.63 (135) QDP 25.69/9.63 (136) QDPSizeChangeProof [EQUIVALENT, 0 ms] 25.69/9.63 (137) YES 25.69/9.63 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (0) 25.69/9.63 Obligation: 25.69/9.63 mainModule Main 25.69/9.63 module Maybe where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 module List where { 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 insert :: Ord a => a -> [a] -> [a]; 25.69/9.63 insert e ls = insertBy compare e ls; 25.69/9.63 25.69/9.63 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 25.69/9.63 insertBy _ x [] = x : []; 25.69/9.63 insertBy cmp x ys@(y : ys') = case cmp x y of { 25.69/9.63 GT-> y : insertBy cmp x ys'; 25.69/9.63 _-> x : ys; 25.69/9.63 } ; 25.69/9.63 25.69/9.63 } 25.69/9.63 module Main where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (1) CR (EQUIVALENT) 25.69/9.63 Case Reductions: 25.69/9.63 The following Case expression 25.69/9.63 "case cmp x y of { 25.69/9.63 GT -> y : insertBy cmp x ys'; 25.69/9.63 _ -> x : ys} 25.69/9.63 " 25.69/9.63 is transformed to 25.69/9.63 "insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 25.69/9.63 insertBy0 y cmp x ys' ys _ = x : ys; 25.69/9.63 " 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (2) 25.69/9.63 Obligation: 25.69/9.63 mainModule Main 25.69/9.63 module Maybe where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 module List where { 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 insert :: Ord a => a -> [a] -> [a]; 25.69/9.63 insert e ls = insertBy compare e ls; 25.69/9.63 25.69/9.63 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 25.69/9.63 insertBy _ x [] = x : []; 25.69/9.63 insertBy cmp x ys@(y : ys') = insertBy0 y cmp x ys' ys (cmp x y); 25.69/9.63 25.69/9.63 insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 25.69/9.63 insertBy0 y cmp x ys' ys _ = x : ys; 25.69/9.63 25.69/9.63 } 25.69/9.63 module Main where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (3) BR (EQUIVALENT) 25.69/9.63 Replaced joker patterns by fresh variables and removed binding patterns. 25.69/9.63 25.69/9.63 Binding Reductions: 25.69/9.63 The bind variable of the following binding Pattern 25.69/9.63 "ys@(wu : wv)" 25.69/9.63 is replaced by the following term 25.69/9.63 "wu : wv" 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (4) 25.69/9.63 Obligation: 25.69/9.63 mainModule Main 25.69/9.63 module Maybe where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 module List where { 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 insert :: Ord a => a -> [a] -> [a]; 25.69/9.63 insert e ls = insertBy compare e ls; 25.69/9.63 25.69/9.63 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 25.69/9.63 insertBy vz x [] = x : []; 25.69/9.63 insertBy cmp x (wu : wv) = insertBy0 wu cmp x wv (wu : wv) (cmp x wu); 25.69/9.63 25.69/9.63 insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 25.69/9.63 insertBy0 y cmp x ys' ys vy = x : ys; 25.69/9.63 25.69/9.63 } 25.69/9.63 module Main where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (5) COR (EQUIVALENT) 25.69/9.63 Cond Reductions: 25.69/9.63 The following Function with conditions 25.69/9.63 "undefined |Falseundefined; 25.69/9.63 " 25.69/9.63 is transformed to 25.69/9.63 "undefined = undefined1; 25.69/9.63 " 25.69/9.63 "undefined0 True = undefined; 25.69/9.63 " 25.69/9.63 "undefined1 = undefined0 False; 25.69/9.63 " 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (6) 25.69/9.63 Obligation: 25.69/9.63 mainModule Main 25.69/9.63 module Maybe where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 module List where { 25.69/9.63 import qualified Main; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 insert :: Ord a => a -> [a] -> [a]; 25.69/9.63 insert e ls = insertBy compare e ls; 25.69/9.63 25.69/9.63 insertBy :: (a -> a -> Ordering) -> a -> [a] -> [a]; 25.69/9.63 insertBy vz x [] = x : []; 25.69/9.63 insertBy cmp x (wu : wv) = insertBy0 wu cmp x wv (wu : wv) (cmp x wu); 25.69/9.63 25.69/9.63 insertBy0 y cmp x ys' ys GT = y : insertBy cmp x ys'; 25.69/9.63 insertBy0 y cmp x ys' ys vy = x : ys; 25.69/9.63 25.69/9.63 } 25.69/9.63 module Main where { 25.69/9.63 import qualified List; 25.69/9.63 import qualified Maybe; 25.69/9.63 import qualified Prelude; 25.69/9.63 } 25.69/9.63 25.69/9.63 ---------------------------------------- 25.69/9.63 25.69/9.63 (7) Narrow (SOUND) 25.69/9.63 Haskell To QDPs 25.69/9.63 25.69/9.63 digraph dp_graph { 25.69/9.63 node [outthreshold=100, inthreshold=100];1[label="List.insert",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 25.69/9.64 3[label="List.insert ww3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 25.69/9.64 4[label="List.insert ww3 ww4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 25.69/9.64 5[label="List.insertBy compare ww3 ww4",fontsize=16,color="burlywood",shape="triangle"];5405[label="ww4/ww40 : ww41",fontsize=10,color="white",style="solid",shape="box"];5 -> 5405[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5405 -> 6[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5406[label="ww4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 5406[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5406 -> 7[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 6[label="List.insertBy compare ww3 (ww40 : ww41)",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 25.69/9.64 7[label="List.insertBy compare ww3 []",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 25.69/9.64 8[label="List.insertBy0 ww40 compare ww3 ww41 (ww40 : ww41) (compare ww3 ww40)",fontsize=16,color="burlywood",shape="box"];5407[label="ww3/ww30 :% ww31",fontsize=10,color="white",style="solid",shape="box"];8 -> 5407[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5407 -> 10[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 9[label="ww3 : []",fontsize=16,color="green",shape="box"];10[label="List.insertBy0 ww40 compare (ww30 :% ww31) ww41 (ww40 : ww41) (compare (ww30 :% ww31) ww40)",fontsize=16,color="burlywood",shape="box"];5408[label="ww40/ww400 :% ww401",fontsize=10,color="white",style="solid",shape="box"];10 -> 5408[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5408 -> 11[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 11[label="List.insertBy0 (ww400 :% ww401) compare (ww30 :% ww31) ww41 (ww400 :% ww401 : ww41) (compare (ww30 :% ww31) (ww400 :% ww401))",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 25.69/9.64 12[label="List.insertBy0 (ww400 :% ww401) compare (ww30 :% ww31) ww41 (ww400 :% ww401 : ww41) (compare (ww30 * ww401) (ww400 * ww31))",fontsize=16,color="black",shape="box"];12 -> 13[label="",style="solid", color="black", weight=3]; 25.69/9.64 13[label="List.insertBy0 (ww400 :% ww401) compare (ww30 :% ww31) ww41 (ww400 :% ww401 : ww41) (primCmpInt (ww30 * ww401) (ww400 * ww31))",fontsize=16,color="black",shape="box"];13 -> 14[label="",style="solid", color="black", weight=3]; 25.69/9.64 14[label="List.insertBy0 (ww400 :% ww401) compare (ww30 :% ww31) ww41 (ww400 :% ww401 : ww41) (primCmpInt (primMulInt ww30 ww401) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5409[label="ww30/Pos ww300",fontsize=10,color="white",style="solid",shape="box"];14 -> 5409[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5409 -> 15[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5410[label="ww30/Neg ww300",fontsize=10,color="white",style="solid",shape="box"];14 -> 5410[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5410 -> 16[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 15[label="List.insertBy0 (ww400 :% ww401) compare (Pos ww300 :% ww31) ww41 (ww400 :% ww401 : ww41) (primCmpInt (primMulInt (Pos ww300) ww401) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5411[label="ww401/Pos ww4010",fontsize=10,color="white",style="solid",shape="box"];15 -> 5411[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5411 -> 17[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5412[label="ww401/Neg ww4010",fontsize=10,color="white",style="solid",shape="box"];15 -> 5412[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5412 -> 18[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 16[label="List.insertBy0 (ww400 :% ww401) compare (Neg ww300 :% ww31) ww41 (ww400 :% ww401 : ww41) (primCmpInt (primMulInt (Neg ww300) ww401) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5413[label="ww401/Pos ww4010",fontsize=10,color="white",style="solid",shape="box"];16 -> 5413[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5413 -> 19[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5414[label="ww401/Neg ww4010",fontsize=10,color="white",style="solid",shape="box"];16 -> 5414[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5414 -> 20[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 17[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Pos ww300 :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (primMulInt (Pos ww300) (Pos ww4010)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 25.69/9.64 18[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Pos ww300 :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (primMulInt (Pos ww300) (Neg ww4010)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3]; 25.69/9.64 19[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Neg ww300 :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (primMulInt (Neg ww300) (Pos ww4010)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3]; 25.69/9.64 20[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Neg ww300 :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (primMulInt (Neg ww300) (Neg ww4010)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 25.69/9.64 21[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Pos ww300 :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Pos (primMulNat ww300 ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5415[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];21 -> 5415[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5415 -> 25[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5416[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 5416[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5416 -> 26[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 22[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Pos ww300 :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Neg (primMulNat ww300 ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5417[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];22 -> 5417[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5417 -> 27[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5418[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 5418[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5418 -> 28[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 23[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Neg ww300 :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Neg (primMulNat ww300 ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5419[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];23 -> 5419[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5419 -> 29[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5420[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];23 -> 5420[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5420 -> 30[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 24[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Neg ww300 :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Pos (primMulNat ww300 ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5421[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];24 -> 5421[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5421 -> 31[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5422[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 5422[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5422 -> 32[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 25[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5423[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];25 -> 5423[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5423 -> 33[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5424[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 5424[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5424 -> 34[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 26[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Pos (primMulNat Zero ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5425[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];26 -> 5425[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5425 -> 35[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5426[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];26 -> 5426[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5426 -> 36[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 27[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5427[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];27 -> 5427[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5427 -> 37[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5428[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 5428[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5428 -> 38[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 28[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Neg (primMulNat Zero ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5429[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];28 -> 5429[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5429 -> 39[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5430[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 5430[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5430 -> 40[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 29[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5431[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];29 -> 5431[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5431 -> 41[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5432[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];29 -> 5432[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5432 -> 42[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 30[label="List.insertBy0 (ww400 :% Pos ww4010) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos ww4010 : ww41) (primCmpInt (Neg (primMulNat Zero ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5433[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];30 -> 5433[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5433 -> 43[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5434[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];30 -> 5434[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5434 -> 44[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 31[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5435[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];31 -> 5435[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5435 -> 45[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5436[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];31 -> 5436[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5436 -> 46[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 32[label="List.insertBy0 (ww400 :% Neg ww4010) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg ww4010 : ww41) (primCmpInt (Pos (primMulNat Zero ww4010)) (ww400 * ww31))",fontsize=16,color="burlywood",shape="box"];5437[label="ww4010/Succ ww40100",fontsize=10,color="white",style="solid",shape="box"];32 -> 5437[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5437 -> 47[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5438[label="ww4010/Zero",fontsize=10,color="white",style="solid",shape="box"];32 -> 5438[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5438 -> 48[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 33[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];33 -> 49[label="",style="solid", color="black", weight=3]; 25.69/9.64 34[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];34 -> 50[label="",style="solid", color="black", weight=3]; 25.69/9.64 35[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos (primMulNat Zero (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];35 -> 51[label="",style="solid", color="black", weight=3]; 25.69/9.64 36[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos (primMulNat Zero Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];36 -> 52[label="",style="solid", color="black", weight=3]; 25.69/9.64 37[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];37 -> 53[label="",style="solid", color="black", weight=3]; 25.69/9.64 38[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];38 -> 54[label="",style="solid", color="black", weight=3]; 25.69/9.64 39[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg (primMulNat Zero (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];39 -> 55[label="",style="solid", color="black", weight=3]; 25.69/9.64 40[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg (primMulNat Zero Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];40 -> 56[label="",style="solid", color="black", weight=3]; 25.69/9.64 41[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];41 -> 57[label="",style="solid", color="black", weight=3]; 25.69/9.64 42[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg (primMulNat (Succ ww3000) Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];42 -> 58[label="",style="solid", color="black", weight=3]; 25.69/9.64 43[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg (primMulNat Zero (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];43 -> 59[label="",style="solid", color="black", weight=3]; 25.69/9.64 44[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg (primMulNat Zero Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];44 -> 60[label="",style="solid", color="black", weight=3]; 25.69/9.64 45[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];45 -> 61[label="",style="solid", color="black", weight=3]; 25.69/9.64 46[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos (primMulNat (Succ ww3000) Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];46 -> 62[label="",style="solid", color="black", weight=3]; 25.69/9.64 47[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos (primMulNat Zero (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="black",shape="box"];47 -> 63[label="",style="solid", color="black", weight=3]; 25.69/9.64 48[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos (primMulNat Zero Zero)) (ww400 * ww31))",fontsize=16,color="black",shape="box"];48 -> 64[label="",style="solid", color="black", weight=3]; 25.69/9.64 49 -> 1987[label="",style="dashed", color="red", weight=0]; 25.69/9.64 49[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos (primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="magenta"];49 -> 1988[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 49 -> 1989[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 49 -> 1990[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 49 -> 1991[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 49 -> 1992[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 49 -> 1993[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 50[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];50 -> 67[label="",style="solid", color="black", weight=3]; 25.69/9.64 51[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];51 -> 68[label="",style="solid", color="black", weight=3]; 25.69/9.64 52[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];52 -> 69[label="",style="solid", color="black", weight=3]; 25.69/9.64 53 -> 2292[label="",style="dashed", color="red", weight=0]; 25.69/9.64 53[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg (primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="magenta"];53 -> 2293[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 53 -> 2294[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 53 -> 2295[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 53 -> 2296[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 53 -> 2297[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 53 -> 2298[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 54[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];54 -> 72[label="",style="solid", color="black", weight=3]; 25.69/9.64 55[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];55 -> 73[label="",style="solid", color="black", weight=3]; 25.69/9.64 56[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];56 -> 74[label="",style="solid", color="black", weight=3]; 25.69/9.64 57 -> 2668[label="",style="dashed", color="red", weight=0]; 25.69/9.64 57[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg (primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="magenta"];57 -> 2669[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 57 -> 2670[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 57 -> 2671[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 57 -> 2672[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 57 -> 2673[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 57 -> 2674[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 58[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];58 -> 77[label="",style="solid", color="black", weight=3]; 25.69/9.64 59[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];59 -> 78[label="",style="solid", color="black", weight=3]; 25.69/9.64 60[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];60 -> 79[label="",style="solid", color="black", weight=3]; 25.69/9.64 61 -> 3043[label="",style="dashed", color="red", weight=0]; 25.69/9.64 61[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos (primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100))) (ww400 * ww31))",fontsize=16,color="magenta"];61 -> 3044[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 61 -> 3045[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 61 -> 3046[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 61 -> 3047[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 61 -> 3048[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 61 -> 3049[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 62[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];62 -> 82[label="",style="solid", color="black", weight=3]; 25.69/9.64 63[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];63 -> 83[label="",style="solid", color="black", weight=3]; 25.69/9.64 64[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (ww400 * ww31))",fontsize=16,color="black",shape="box"];64 -> 84[label="",style="solid", color="black", weight=3]; 25.69/9.64 1988[label="ww40100",fontsize=16,color="green",shape="box"];1989[label="ww31",fontsize=16,color="green",shape="box"];1990 -> 1977[label="",style="dashed", color="red", weight=0]; 25.69/9.64 1990[label="primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100)",fontsize=16,color="magenta"];1990 -> 2015[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 1991[label="ww41",fontsize=16,color="green",shape="box"];1992[label="ww3000",fontsize=16,color="green",shape="box"];1993[label="ww400",fontsize=16,color="green",shape="box"];1987[label="List.insertBy0 (ww24 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (ww24 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos ww60) (ww24 * ww27))",fontsize=16,color="burlywood",shape="triangle"];5439[label="ww60/Succ ww600",fontsize=10,color="white",style="solid",shape="box"];1987 -> 5439[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5439 -> 2016[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5440[label="ww60/Zero",fontsize=10,color="white",style="solid",shape="box"];1987 -> 5440[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5440 -> 2017[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 67[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5441[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];67 -> 5441[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5441 -> 87[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5442[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];67 -> 5442[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5442 -> 88[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 68[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5443[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];68 -> 5443[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5443 -> 89[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5444[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];68 -> 5444[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5444 -> 90[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 69[label="List.insertBy0 (ww400 :% Pos Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5445[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];69 -> 5445[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5445 -> 91[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5446[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];69 -> 5446[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5446 -> 92[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2293[label="ww40100",fontsize=16,color="green",shape="box"];2294[label="ww31",fontsize=16,color="green",shape="box"];2295[label="ww3000",fontsize=16,color="green",shape="box"];2296[label="ww41",fontsize=16,color="green",shape="box"];2297 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2297[label="primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100)",fontsize=16,color="magenta"];2297 -> 2420[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2297 -> 2421[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2298[label="ww400",fontsize=16,color="green",shape="box"];2292[label="List.insertBy0 (ww30 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (ww30 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg ww144) (ww30 * ww33))",fontsize=16,color="burlywood",shape="triangle"];5447[label="ww144/Succ ww1440",fontsize=10,color="white",style="solid",shape="box"];2292 -> 5447[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5447 -> 2422[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5448[label="ww144/Zero",fontsize=10,color="white",style="solid",shape="box"];2292 -> 5448[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5448 -> 2423[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 72[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5449[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 5449[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5449 -> 95[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5450[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];72 -> 5450[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5450 -> 96[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 73[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5451[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];73 -> 5451[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5451 -> 97[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5452[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];73 -> 5452[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5452 -> 98[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 74[label="List.insertBy0 (ww400 :% Neg Zero) compare (Pos Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5453[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];74 -> 5453[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5453 -> 99[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5454[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];74 -> 5454[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5454 -> 100[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2669[label="ww40100",fontsize=16,color="green",shape="box"];2670[label="ww3000",fontsize=16,color="green",shape="box"];2671[label="ww31",fontsize=16,color="green",shape="box"];2672[label="ww400",fontsize=16,color="green",shape="box"];2673[label="ww41",fontsize=16,color="green",shape="box"];2674 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2674[label="primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100)",fontsize=16,color="magenta"];2674 -> 2802[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2674 -> 2803[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2668[label="List.insertBy0 (ww43 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% ww46) ww47 (ww43 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg ww229) (ww43 * ww46))",fontsize=16,color="burlywood",shape="triangle"];5455[label="ww229/Succ ww2290",fontsize=10,color="white",style="solid",shape="box"];2668 -> 5455[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5455 -> 2804[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5456[label="ww229/Zero",fontsize=10,color="white",style="solid",shape="box"];2668 -> 5456[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5456 -> 2805[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 77[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5457[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];77 -> 5457[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5457 -> 103[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5458[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];77 -> 5458[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5458 -> 104[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 78[label="List.insertBy0 (ww400 :% Pos (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5459[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];78 -> 5459[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5459 -> 105[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5460[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];78 -> 5460[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5460 -> 106[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 79[label="List.insertBy0 (ww400 :% Pos Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5461[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 5461[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5461 -> 107[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5462[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];79 -> 5462[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5462 -> 108[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 3044[label="ww400",fontsize=16,color="green",shape="box"];3045[label="ww3000",fontsize=16,color="green",shape="box"];3046[label="ww31",fontsize=16,color="green",shape="box"];3047[label="ww40100",fontsize=16,color="green",shape="box"];3048[label="ww41",fontsize=16,color="green",shape="box"];3049 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.64 3049[label="primPlusNat (primMulNat ww3000 (Succ ww40100)) (Succ ww40100)",fontsize=16,color="magenta"];3049 -> 3171[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 3049 -> 3172[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 3043[label="List.insertBy0 (ww49 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% ww52) ww53 (ww49 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos ww318) (ww49 * ww52))",fontsize=16,color="burlywood",shape="triangle"];5463[label="ww318/Succ ww3180",fontsize=10,color="white",style="solid",shape="box"];3043 -> 5463[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5463 -> 3173[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5464[label="ww318/Zero",fontsize=10,color="white",style="solid",shape="box"];3043 -> 5464[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5464 -> 3174[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 82[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5465[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];82 -> 5465[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5465 -> 111[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5466[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];82 -> 5466[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5466 -> 112[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 83[label="List.insertBy0 (ww400 :% Neg (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5467[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];83 -> 5467[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5467 -> 113[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5468[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];83 -> 5468[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5468 -> 114[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 84[label="List.insertBy0 (ww400 :% Neg Zero) compare (Neg Zero :% ww31) ww41 (ww400 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt ww400 ww31))",fontsize=16,color="burlywood",shape="box"];5469[label="ww400/Pos ww4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 5469[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5469 -> 115[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5470[label="ww400/Neg ww4000",fontsize=10,color="white",style="solid",shape="box"];84 -> 5470[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5470 -> 116[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2015[label="primMulNat ww3000 (Succ ww40100)",fontsize=16,color="burlywood",shape="triangle"];5471[label="ww3000/Succ ww30000",fontsize=10,color="white",style="solid",shape="box"];2015 -> 5471[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5471 -> 2024[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5472[label="ww3000/Zero",fontsize=10,color="white",style="solid",shape="box"];2015 -> 5472[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5472 -> 2025[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 1977[label="primPlusNat ww59 (Succ ww40100)",fontsize=16,color="burlywood",shape="triangle"];5473[label="ww59/Succ ww590",fontsize=10,color="white",style="solid",shape="box"];1977 -> 5473[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5473 -> 2020[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5474[label="ww59/Zero",fontsize=10,color="white",style="solid",shape="box"];1977 -> 5474[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5474 -> 2021[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2016[label="List.insertBy0 (ww24 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (ww24 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (ww24 * ww27))",fontsize=16,color="black",shape="box"];2016 -> 2026[label="",style="solid", color="black", weight=3]; 25.69/9.64 2017[label="List.insertBy0 (ww24 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (ww24 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (ww24 * ww27))",fontsize=16,color="black",shape="box"];2017 -> 2027[label="",style="solid", color="black", weight=3]; 25.69/9.64 87[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5475[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];87 -> 5475[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5475 -> 120[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5476[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];87 -> 5476[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5476 -> 121[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 88[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5477[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];88 -> 5477[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5477 -> 122[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5478[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];88 -> 5478[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5478 -> 123[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 89[label="List.insertBy0 (Pos ww4000 :% Pos (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (Pos ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5479[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];89 -> 5479[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5479 -> 124[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5480[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];89 -> 5480[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5480 -> 125[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 90[label="List.insertBy0 (Neg ww4000 :% Pos (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (Neg ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5481[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];90 -> 5481[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5481 -> 126[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5482[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];90 -> 5482[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5482 -> 127[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 91[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos Zero :% ww31) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5483[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];91 -> 5483[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5483 -> 128[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5484[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];91 -> 5484[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5484 -> 129[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 92[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos Zero :% ww31) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5485[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];92 -> 5485[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5485 -> 130[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5486[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];92 -> 5486[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5486 -> 131[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2420 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2420[label="primMulNat ww3000 (Succ ww40100)",fontsize=16,color="magenta"];2420 -> 2426[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2421[label="Succ ww40100",fontsize=16,color="green",shape="box"];2038[label="primPlusNat ww590 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ww33))",fontsize=16,color="black",shape="box"];2423 -> 2428[label="",style="solid", color="black", weight=3]; 25.69/9.64 95[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5489[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];95 -> 5489[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5489 -> 135[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5490[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];95 -> 5490[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5490 -> 136[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 96[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% ww31) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5491[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];96 -> 5491[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5491 -> 137[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5492[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];96 -> 5492[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5492 -> 138[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 97[label="List.insertBy0 (Pos ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (Pos ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5493[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];97 -> 5493[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5493 -> 139[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5494[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];97 -> 5494[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5494 -> 140[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 98[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% ww31) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5495[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];98 -> 5495[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5495 -> 141[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5496[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];98 -> 5496[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5496 -> 142[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 99[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos 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145[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5500[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];100 -> 5500[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5500 -> 146[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2802 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2802[label="primMulNat ww3000 (Succ ww40100)",fontsize=16,color="magenta"];2802 -> 2808[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2803[label="Succ ww40100",fontsize=16,color="green",shape="box"];2804[label="List.insertBy0 (ww43 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% ww46) ww47 (ww43 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg (Succ ww2290)) (ww43 * ww46))",fontsize=16,color="black",shape="box"];2804 -> 2809[label="",style="solid", color="black", weight=3]; 25.69/9.64 2805[label="List.insertBy0 (ww43 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% ww46) ww47 (ww43 :% Pos (Succ ww44) : 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(primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5503[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];104 -> 5503[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5503 -> 152[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5504[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];104 -> 5504[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5504 -> 153[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 105[label="List.insertBy0 (Pos ww4000 :% Pos (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (Pos ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5505[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];105 -> 5505[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5505 -> 154[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5506[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];105 -> 5506[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5506 -> 155[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 106[label="List.insertBy0 (Neg ww4000 :% Pos (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (Neg ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5507[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];106 -> 5507[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5507 -> 156[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5508[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];106 -> 5508[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5508 -> 157[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 107[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Neg Zero :% ww31) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5509[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];107 -> 5509[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5509 -> 158[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5510[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];107 -> 5510[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5510 -> 159[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 108[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg Zero :% ww31) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5511[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];108 -> 5511[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5511 -> 160[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5512[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];108 -> 5512[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5512 -> 161[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 3171 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.64 3171[label="primMulNat ww3000 (Succ ww40100)",fontsize=16,color="magenta"];3171 -> 3177[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 3171 -> 3178[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 3172[label="Succ ww40100",fontsize=16,color="green",shape="box"];3173[label="List.insertBy0 (ww49 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% ww52) ww53 (ww49 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos (Succ ww3180)) (ww49 * ww52))",fontsize=16,color="black",shape="box"];3173 -> 3179[label="",style="solid", color="black", weight=3]; 25.69/9.64 3174[label="List.insertBy0 (ww49 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% ww52) ww53 (ww49 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (ww49 * ww52))",fontsize=16,color="black",shape="box"];3174 -> 3180[label="",style="solid", color="black", weight=3]; 25.69/9.64 111[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5513[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];111 -> 5513[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5513 -> 165[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5514[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];111 -> 5514[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5514 -> 166[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 112[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% ww31) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5515[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];112 -> 5515[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5515 -> 167[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5516[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];112 -> 5516[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5516 -> 168[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 113[label="List.insertBy0 (Pos ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (Pos ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5517[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];113 -> 5517[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5517 -> 169[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5518[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];113 -> 5518[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5518 -> 170[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 114[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% ww31) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5519[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];114 -> 5519[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5519 -> 171[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5520[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];114 -> 5520[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5520 -> 172[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 115[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg Zero :% ww31) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) ww31))",fontsize=16,color="burlywood",shape="box"];5521[label="ww31/Pos ww310",fontsize=10,color="white",style="solid",shape="box"];115 -> 5521[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5521 -> 173[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5522[label="ww31/Neg ww310",fontsize=10,color="white",style="solid",shape="box"];115 -> 5522[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5522 -> 174[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 116[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg Zero :% ww31) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) 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25.69/9.64 2021[label="primPlusNat Zero (Succ ww40100)",fontsize=16,color="black",shape="box"];2021 -> 2029[label="",style="solid", color="black", weight=3]; 25.69/9.64 2026[label="List.insertBy0 (ww24 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (ww24 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt ww24 ww27))",fontsize=16,color="burlywood",shape="box"];5525[label="ww24/Pos ww240",fontsize=10,color="white",style="solid",shape="box"];2026 -> 5525[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5525 -> 2034[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5526[label="ww24/Neg ww240",fontsize=10,color="white",style="solid",shape="box"];2026 -> 5526[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5526 -> 2035[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2027[label="List.insertBy0 (ww24 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (ww24 :% Pos (Succ ww25) : ww28) 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(primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];121 -> 181[label="",style="solid", color="black", weight=3]; 25.69/9.64 122[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];122 -> 182[label="",style="solid", color="black", weight=3]; 25.69/9.64 123[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];123 -> 183[label="",style="solid", color="black", weight=3]; 25.69/9.64 124[label="List.insertBy0 (Pos ww4000 :% Pos (Succ ww40100)) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Pos 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187[label="",style="solid", color="black", weight=3]; 25.69/9.64 128[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];128 -> 188[label="",style="solid", color="black", weight=3]; 25.69/9.64 129[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos Zero :% Neg ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];129 -> 189[label="",style="solid", color="black", weight=3]; 25.69/9.64 130[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos Zero :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];130 -> 190[label="",style="solid", color="black", weight=3]; 25.69/9.64 131[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];131 -> 191[label="",style="solid", color="black", weight=3]; 25.69/9.64 2426[label="ww40100",fontsize=16,color="green",shape="box"];2051[label="primPlusNat (Succ ww5900) ww40100",fontsize=16,color="burlywood",shape="box"];5529[label="ww40100/Succ ww401000",fontsize=10,color="white",style="solid",shape="box"];2051 -> 5529[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5529 -> 2064[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5530[label="ww40100/Zero",fontsize=10,color="white",style="solid",shape="box"];2051 -> 5530[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5530 -> 2065[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2052[label="primPlusNat Zero ww40100",fontsize=16,color="burlywood",shape="box"];5531[label="ww40100/Succ ww401000",fontsize=10,color="white",style="solid",shape="box"];2052 -> 5531[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5531 -> 2066[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5532[label="ww40100/Zero",fontsize=10,color="white",style="solid",shape="box"];2052 -> 5532[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5532 -> 2067[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2427[label="List.insertBy0 (ww30 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (ww30 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (primMulInt ww30 ww33))",fontsize=16,color="burlywood",shape="box"];5533[label="ww30/Pos ww300",fontsize=10,color="white",style="solid",shape="box"];2427 -> 5533[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5533 -> 2431[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5534[label="ww30/Neg ww300",fontsize=10,color="white",style="solid",shape="box"];2427 -> 5534[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5534 -> 2432[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2428[label="List.insertBy0 (ww30 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (ww30 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (primMulInt ww30 ww33))",fontsize=16,color="burlywood",shape="box"];5535[label="ww30/Pos ww300",fontsize=10,color="white",style="solid",shape="box"];2428 -> 5535[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5535 -> 2433[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5536[label="ww30/Neg ww300",fontsize=10,color="white",style="solid",shape="box"];2428 -> 5536[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5536 -> 2434[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 135[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];135 -> 195[label="",style="solid", color="black", weight=3]; 25.69/9.64 136[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];136 -> 196[label="",style="solid", color="black", weight=3]; 25.69/9.64 137[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];137 -> 197[label="",style="solid", color="black", weight=3]; 25.69/9.64 138[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Neg 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201[label="",style="solid", color="black", weight=3]; 25.69/9.64 142[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];142 -> 202[label="",style="solid", color="black", weight=3]; 25.69/9.64 143[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];143 -> 203[label="",style="solid", color="black", weight=3]; 25.69/9.64 144[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos Zero :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];144 -> 204[label="",style="solid", color="black", weight=3]; 25.69/9.64 145[label="List.insertBy0 (Neg 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5537 -> 2813[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5538[label="ww43/Neg ww430",fontsize=10,color="white",style="solid",shape="box"];2809 -> 5538[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5538 -> 2814[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2810[label="List.insertBy0 (ww43 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% ww46) ww47 (ww43 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (primMulInt ww43 ww46))",fontsize=16,color="burlywood",shape="box"];5539[label="ww43/Pos ww430",fontsize=10,color="white",style="solid",shape="box"];2810 -> 5539[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5539 -> 2815[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5540[label="ww43/Neg ww430",fontsize=10,color="white",style="solid",shape="box"];2810 -> 5540[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5540 -> 2816[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 150[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];150 -> 210[label="",style="solid", color="black", weight=3]; 25.69/9.64 151[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];151 -> 211[label="",style="solid", color="black", weight=3]; 25.69/9.64 152[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];152 -> 212[label="",style="solid", color="black", weight=3]; 25.69/9.64 153[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% 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ww310)))",fontsize=16,color="black",shape="box"];159 -> 219[label="",style="solid", color="black", weight=3]; 25.69/9.64 160[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg Zero :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];160 -> 220[label="",style="solid", color="black", weight=3]; 25.69/9.64 161[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];161 -> 221[label="",style="solid", color="black", weight=3]; 25.69/9.64 3177[label="ww3000",fontsize=16,color="green",shape="box"];3178[label="ww40100",fontsize=16,color="green",shape="box"];3179[label="List.insertBy0 (ww49 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% ww52) ww53 (ww49 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos (Succ ww3180)) (primMulInt 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5544[label="ww49/Neg ww490",fontsize=10,color="white",style="solid",shape="box"];3180 -> 5544[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5544 -> 3186[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 165[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];165 -> 225[label="",style="solid", color="black", weight=3]; 25.69/9.64 166[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];166 -> 226[label="",style="solid", color="black", weight=3]; 25.69/9.64 167[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) 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ww310)))",fontsize=16,color="black",shape="box"];170 -> 230[label="",style="solid", color="black", weight=3]; 25.69/9.64 171[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% Pos ww310) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];171 -> 231[label="",style="solid", color="black", weight=3]; 25.69/9.64 172[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];172 -> 232[label="",style="solid", color="black", weight=3]; 25.69/9.64 173[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];173 -> 233[label="",style="solid", color="black", weight=3]; 25.69/9.64 174[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg Zero :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Pos ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];174 -> 234[label="",style="solid", color="black", weight=3]; 25.69/9.64 175[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg Zero :% Pos ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Pos ww310)))",fontsize=16,color="black",shape="box"];175 -> 235[label="",style="solid", color="black", weight=3]; 25.69/9.64 176[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (primMulInt (Neg ww4000) (Neg ww310)))",fontsize=16,color="black",shape="box"];176 -> 236[label="",style="solid", color="black", weight=3]; 25.69/9.64 2032 -> 1977[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2032[label="primPlusNat (primMulNat ww30000 (Succ ww40100)) (Succ ww40100)",fontsize=16,color="magenta"];2032 -> 2042[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2033[label="Zero",fontsize=16,color="green",shape="box"];2028[label="Succ (Succ (primPlusNat ww590 ww40100))",fontsize=16,color="green",shape="box"];2028 -> 2038[label="",style="dashed", color="green", weight=3]; 25.69/9.64 2029[label="Succ ww40100",fontsize=16,color="green",shape="box"];2034[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (Pos ww240 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt (Pos ww240) ww27))",fontsize=16,color="burlywood",shape="box"];5545[label="ww27/Pos ww270",fontsize=10,color="white",style="solid",shape="box"];2034 -> 5545[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5545 -> 2043[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5546[label="ww27/Neg ww270",fontsize=10,color="white",style="solid",shape="box"];2034 -> 5546[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5546 -> 2044[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2035[label="List.insertBy0 (Neg ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% ww27) ww28 (Neg ww240 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt (Neg ww240) ww27))",fontsize=16,color="burlywood",shape="box"];5547[label="ww27/Pos ww270",fontsize=10,color="white",style="solid",shape="box"];2035 -> 5547[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5547 -> 2045[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5548[label="ww27/Neg ww270",fontsize=10,color="white",style="solid",shape="box"];2035 -> 5548[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5548 -> 2046[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2036[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare 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color="burlywood", weight=9]; 25.69/9.64 5551 -> 2049[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5552[label="ww27/Neg ww270",fontsize=10,color="white",style="solid",shape="box"];2037 -> 5552[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5552 -> 2050[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 180[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5553[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];180 -> 5553[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5553 -> 242[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5554[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];180 -> 5554[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5554 -> 243[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 181[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5555[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];181 -> 5555[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5555 -> 244[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5556[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];181 -> 5556[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5556 -> 245[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 182[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 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5560[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];183 -> 5560[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5560 -> 249[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 184[label="List.insertBy0 (Pos ww4000 :% Pos (Succ ww40100)) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5561[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];184 -> 5561[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5561 -> 250[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5562[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];184 -> 5562[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5562 -> 251[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 185[label="List.insertBy0 (Pos ww4000 :% Pos (Succ 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5565[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5565 -> 254[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5566[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];186 -> 5566[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5566 -> 255[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 187[label="List.insertBy0 (Neg ww4000 :% Pos (Succ ww40100)) compare (Pos Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5567[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];187 -> 5567[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5567 -> 256[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5568[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];187 -> 5568[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5568 -> 257[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 188[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5569[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];188 -> 5569[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5569 -> 258[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5570[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];188 -> 5570[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5570 -> 259[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 189[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Pos Zero :% Neg ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 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5574[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];190 -> 5574[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5574 -> 263[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 191[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Pos Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5575[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];191 -> 5575[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5575 -> 264[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5576[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];191 -> 5576[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5576 -> 265[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2064[label="primPlusNat (Succ ww5900) (Succ ww401000)",fontsize=16,color="black",shape="box"];2064 -> 2083[label="",style="solid", color="black", weight=3]; 25.69/9.64 2065[label="primPlusNat (Succ ww5900) Zero",fontsize=16,color="black",shape="box"];2065 -> 2084[label="",style="solid", color="black", weight=3]; 25.69/9.64 2066[label="primPlusNat Zero (Succ ww401000)",fontsize=16,color="black",shape="box"];2066 -> 2085[label="",style="solid", color="black", weight=3]; 25.69/9.64 2067[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];2067 -> 2086[label="",style="solid", color="black", weight=3]; 25.69/9.64 2431[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (primMulInt (Pos ww300) ww33))",fontsize=16,color="burlywood",shape="box"];5577[label="ww33/Pos ww330",fontsize=10,color="white",style="solid",shape="box"];2431 -> 5577[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5577 -> 2438[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5578[label="ww33/Neg ww330",fontsize=10,color="white",style="solid",shape="box"];2431 -> 5578[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5578 -> 2439[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2432[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (primMulInt (Neg ww300) ww33))",fontsize=16,color="burlywood",shape="box"];5579[label="ww33/Pos ww330",fontsize=10,color="white",style="solid",shape="box"];2432 -> 5579[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5579 -> 2440[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5580[label="ww33/Neg ww330",fontsize=10,color="white",style="solid",shape="box"];2432 -> 5580[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5580 -> 2441[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2433[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (primMulInt (Pos ww300) ww33))",fontsize=16,color="burlywood",shape="box"];5581[label="ww33/Pos ww330",fontsize=10,color="white",style="solid",shape="box"];2433 -> 5581[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5581 -> 2442[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5582[label="ww33/Neg ww330",fontsize=10,color="white",style="solid",shape="box"];2433 -> 5582[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5582 -> 2443[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2434[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% ww33) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (primMulInt (Neg ww300) ww33))",fontsize=16,color="burlywood",shape="box"];5583[label="ww33/Pos ww330",fontsize=10,color="white",style="solid",shape="box"];2434 -> 5583[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5583 -> 2444[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5584[label="ww33/Neg ww330",fontsize=10,color="white",style="solid",shape="box"];2434 -> 5584[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5584 -> 2445[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 195[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5585[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];195 -> 5585[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5585 -> 271[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5586[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];195 -> 5586[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5586 -> 272[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 196[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5587[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];196 -> 5587[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5587 -> 273[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5588[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];196 -> 5588[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5588 -> 274[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 197[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Pos 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color="burlywood", weight=9]; 25.69/9.64 5591 -> 277[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5592[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];198 -> 5592[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5592 -> 278[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 199[label="List.insertBy0 (Pos ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5593[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];199 -> 5593[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5593 -> 279[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5594[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];199 -> 5594[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5594 -> 280[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 200[label="List.insertBy0 (Pos ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% Neg ww310) ww41 (Pos ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5595[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];200 -> 5595[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5595 -> 281[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5596[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];200 -> 5596[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5596 -> 282[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 201[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Pos Zero :% Pos ww310) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 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25.69/9.64 5600[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];202 -> 5600[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5600 -> 286[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 203[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5601[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];203 -> 5601[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5601 -> 287[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5602[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];203 -> 5602[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5602 -> 288[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 204[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Pos 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25.69/9.64 5605 -> 291[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5606[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];205 -> 5606[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5606 -> 292[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 206[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Pos Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5607[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];206 -> 5607[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5607 -> 293[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5608[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];206 -> 5608[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5608 -> 294[label="",style="solid", color="burlywood", weight=3]; 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weight=9]; 25.69/9.64 5619 -> 302[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5620[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];211 -> 5620[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5620 -> 303[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 212[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5621[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];212 -> 5621[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5621 -> 304[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5622[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];212 -> 5622[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5622 -> 305[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 213[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg (Succ ww3000) :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5623[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];213 -> 5623[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5623 -> 306[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5624[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];213 -> 5624[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5624 -> 307[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 214[label="List.insertBy0 (Pos ww4000 :% Pos (Succ ww40100)) compare (Neg Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 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25.69/9.64 5628[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];215 -> 5628[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5628 -> 311[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 216[label="List.insertBy0 (Neg ww4000 :% Pos (Succ ww40100)) compare (Neg Zero :% Pos ww310) ww41 (Neg ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5629[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];216 -> 5629[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5629 -> 312[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5630[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];216 -> 5630[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5630 -> 313[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 217[label="List.insertBy0 (Neg ww4000 :% Pos (Succ ww40100)) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5631[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];217 -> 5631[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5631 -> 314[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5632[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];217 -> 5632[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5632 -> 315[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 218[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Neg Zero :% Pos ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5633[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];218 -> 5633[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5633 -> 316[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5634[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];218 -> 5634[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5634 -> 317[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 219[label="List.insertBy0 (Pos ww4000 :% Pos Zero) compare (Neg Zero :% Neg ww310) ww41 (Pos ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5635[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];219 -> 5635[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5635 -> 318[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5636[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];219 -> 5636[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5636 -> 319[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 220[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg Zero :% Pos ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5637[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];220 -> 5637[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5637 -> 320[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5638[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];220 -> 5638[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5638 -> 321[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 221[label="List.insertBy0 (Neg ww4000 :% Pos Zero) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat ww4000 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25.69/9.64 5642[label="ww52/Neg ww520",fontsize=10,color="white",style="solid",shape="box"];3183 -> 5642[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5642 -> 3191[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 3184[label="List.insertBy0 (Neg ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% ww52) ww53 (Neg ww490 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos (Succ ww3180)) (primMulInt (Neg ww490) ww52))",fontsize=16,color="burlywood",shape="box"];5643[label="ww52/Pos ww520",fontsize=10,color="white",style="solid",shape="box"];3184 -> 5643[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5643 -> 3192[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5644[label="ww52/Neg ww520",fontsize=10,color="white",style="solid",shape="box"];3184 -> 5644[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5644 -> 3193[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 3185[label="List.insertBy0 (Pos 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5647[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5647 -> 3196[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5648[label="ww52/Neg ww520",fontsize=10,color="white",style="solid",shape="box"];3186 -> 5648[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5648 -> 3197[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 225[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5649[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];225 -> 5649[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5649 -> 329[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5650[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];225 -> 5650[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5650 -> 330[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 226[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5651[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];226 -> 5651[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5651 -> 331[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5652[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];226 -> 5652[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5652 -> 332[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 227[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg (Succ ww3000) :% Pos ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 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5656[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];228 -> 5656[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5656 -> 336[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 229[label="List.insertBy0 (Pos ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5657[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];229 -> 5657[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5657 -> 337[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5658[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];229 -> 5658[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5658 -> 338[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 230[label="List.insertBy0 (Pos ww4000 :% Neg (Succ 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5661[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5661 -> 341[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5662[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];231 -> 5662[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5662 -> 342[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 232[label="List.insertBy0 (Neg ww4000 :% Neg (Succ ww40100)) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5663[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];232 -> 5663[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5663 -> 343[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5664[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];232 -> 5664[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5664 -> 344[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 233[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg Zero :% Pos ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5665[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];233 -> 5665[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5665 -> 345[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5666[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];233 -> 5666[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5666 -> 346[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 234[label="List.insertBy0 (Pos ww4000 :% Neg Zero) compare (Neg Zero :% Neg ww310) ww41 (Pos ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat ww4000 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5670[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];235 -> 5670[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5670 -> 350[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 236[label="List.insertBy0 (Neg ww4000 :% Neg Zero) compare (Neg Zero :% Neg ww310) ww41 (Neg ww4000 :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat ww4000 ww310)))",fontsize=16,color="burlywood",shape="box"];5671[label="ww4000/Succ ww40000",fontsize=10,color="white",style="solid",shape="box"];236 -> 5671[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5671 -> 351[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5672[label="ww4000/Zero",fontsize=10,color="white",style="solid",shape="box"];236 -> 5672[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5672 -> 352[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 2042 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.64 2042[label="primMulNat ww30000 (Succ ww40100)",fontsize=16,color="magenta"];2042 -> 2055[label="",style="dashed", color="magenta", weight=3]; 25.69/9.64 2043[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos ww240 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt (Pos ww240) (Pos ww270)))",fontsize=16,color="black",shape="box"];2043 -> 2056[label="",style="solid", color="black", weight=3]; 25.69/9.64 2044[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Pos ww240 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt (Pos ww240) (Neg ww270)))",fontsize=16,color="black",shape="box"];2044 -> 2057[label="",style="solid", color="black", weight=3]; 25.69/9.64 2045[label="List.insertBy0 (Neg ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Neg ww240 :% Pos (Succ ww25) : ww28) (primCmpInt (Pos (Succ ww600)) (primMulInt (Neg ww240) (Pos 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5676[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];243 -> 5676[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5676 -> 363[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 244[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) ww310)))",fontsize=16,color="burlywood",shape="box"];5677[label="ww310/Succ ww3100",fontsize=10,color="white",style="solid",shape="box"];244 -> 5677[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5677 -> 364[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5678[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];244 -> 5678[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5678 -> 365[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 245[label="List.insertBy0 (Pos Zero :% Pos 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5681[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5681 -> 368[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5682[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];246 -> 5682[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5682 -> 369[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 247[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos ww310) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero ww310)))",fontsize=16,color="burlywood",shape="box"];5683[label="ww310/Succ ww3100",fontsize=10,color="white",style="solid",shape="box"];247 -> 5683[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5683 -> 370[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5684[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];247 -> 5684[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5684 -> 371[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 248[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) ww310)))",fontsize=16,color="burlywood",shape="box"];5685[label="ww310/Succ ww3100",fontsize=10,color="white",style="solid",shape="box"];248 -> 5685[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5685 -> 372[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5686[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];248 -> 5686[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5686 -> 373[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 249[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg ww310) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero 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color="burlywood", weight=3]; 25.69/9.64 5690[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];250 -> 5690[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5690 -> 377[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 251[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos ww310) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero ww310)))",fontsize=16,color="burlywood",shape="box"];5691[label="ww310/Succ ww3100",fontsize=10,color="white",style="solid",shape="box"];251 -> 5691[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5691 -> 378[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 5692[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];251 -> 5692[label="",style="solid", color="burlywood", weight=9]; 25.69/9.64 5692 -> 379[label="",style="solid", color="burlywood", weight=3]; 25.69/9.64 252[label="List.insertBy0 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360[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];360 -> 581[label="",style="solid", color="black", weight=3]; 25.69/9.65 361[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];361 -> 582[label="",style="solid", color="black", weight=3]; 25.69/9.65 362[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];362 -> 583[label="",style="solid", color="black", weight=3]; 25.69/9.65 363[label="List.insertBy0 (Pos Zero 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color="black", weight=3]; 25.69/9.65 376[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];376 -> 597[label="",style="solid", color="black", weight=3]; 25.69/9.65 377[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];377 -> 598[label="",style="solid", color="black", weight=3]; 25.69/9.65 378[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];378 -> 599[label="",style="solid", color="black", weight=3]; 25.69/9.65 379[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];379 -> 600[label="",style="solid", color="black", weight=3]; 25.69/9.65 380[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];380 -> 601[label="",style="solid", color="black", weight=3]; 25.69/9.65 381[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];381 -> 602[label="",style="solid", color="black", weight=3]; 25.69/9.65 382[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];382 -> 603[label="",style="solid", color="black", weight=3]; 25.69/9.65 383[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];383 -> 604[label="",style="solid", color="black", weight=3]; 25.69/9.65 384[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];384 -> 605[label="",style="solid", color="black", weight=3]; 25.69/9.65 385[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];385 -> 606[label="",style="solid", color="black", weight=3]; 25.69/9.65 386[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];386 -> 607[label="",style="solid", color="black", weight=3]; 25.69/9.65 387[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];387 -> 608[label="",style="solid", color="black", weight=3]; 25.69/9.65 388[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];388 -> 609[label="",style="solid", color="black", weight=3]; 25.69/9.65 389[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];389 -> 610[label="",style="solid", color="black", weight=3]; 25.69/9.65 390[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];390 -> 611[label="",style="solid", color="black", weight=3]; 25.69/9.65 391[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];391 -> 612[label="",style="solid", color="black", weight=3]; 25.69/9.65 392[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];392 -> 613[label="",style="solid", color="black", weight=3]; 25.69/9.65 393[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];393 -> 614[label="",style="solid", color="black", weight=3]; 25.69/9.65 394[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos 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Zero)))",fontsize=16,color="black",shape="box"];397 -> 618[label="",style="solid", color="black", weight=3]; 25.69/9.65 398[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];398 -> 619[label="",style="solid", color="black", weight=3]; 25.69/9.65 399[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];399 -> 620[label="",style="solid", color="black", weight=3]; 25.69/9.65 400[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];400 -> 621[label="",style="solid", color="black", weight=3]; 25.69/9.65 401[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];401 -> 622[label="",style="solid", color="black", weight=3]; 25.69/9.65 402[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];402 -> 623[label="",style="solid", color="black", weight=3]; 25.69/9.65 403[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];403 -> 624[label="",style="solid", color="black", weight=3]; 25.69/9.65 404[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];404 -> 625[label="",style="solid", color="black", weight=3]; 25.69/9.65 405[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];405 -> 626[label="",style="solid", color="black", weight=3]; 25.69/9.65 406[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];406 -> 627[label="",style="solid", color="black", weight=3]; 25.69/9.65 407[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];407 -> 628[label="",style="solid", color="black", weight=3]; 25.69/9.65 2111 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.65 2111[label="primPlusNat ww5900 ww401000",fontsize=16,color="magenta"];2111 -> 2141[label="",style="dashed", color="magenta", weight=3]; 25.69/9.65 2111 -> 2142[label="",style="dashed", color="magenta", weight=3]; 25.69/9.65 2448[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (Pos (primMulNat ww300 ww330)))",fontsize=16,color="black",shape="box"];2448 -> 2459[label="",style="solid", color="black", weight=3]; 25.69/9.65 2449[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (Neg (primMulNat ww300 ww330)))",fontsize=16,color="black",shape="box"];2449 -> 2460[label="",style="solid", color="black", weight=3]; 25.69/9.65 2450[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (Neg (primMulNat ww300 ww330)))",fontsize=16,color="black",shape="box"];2450 -> 2461[label="",style="solid", color="black", weight=3]; 25.69/9.65 2451[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg (Succ ww1440)) (Pos (primMulNat ww300 ww330)))",fontsize=16,color="black",shape="box"];2451 -> 2462[label="",style="solid", color="black", weight=3]; 25.69/9.65 2452[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (primMulNat ww300 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25.69/9.65 5876[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];2453 -> 5876[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5876 -> 2466[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2454[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primMulNat ww300 ww330)))",fontsize=16,color="burlywood",shape="box"];5877[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];2454 -> 5877[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5877 -> 2467[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5878[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];2454 -> 5878[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5878 -> 2468[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2455[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (primMulNat ww300 ww330)))",fontsize=16,color="burlywood",shape="box"];5879[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];2455 -> 5879[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5879 -> 2469[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5880[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];2455 -> 5880[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5880 -> 2470[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 415[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];415 -> 637[label="",style="solid", color="black", weight=3]; 25.69/9.65 416[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];416 -> 638[label="",style="solid", color="black", weight=3]; 25.69/9.65 417[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];417 -> 639[label="",style="solid", color="black", weight=3]; 25.69/9.65 418[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];418 -> 640[label="",style="solid", color="black", weight=3]; 25.69/9.65 419[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];419 -> 641[label="",style="solid", color="black", weight=3]; 25.69/9.65 420[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];420 -> 642[label="",style="solid", color="black", weight=3]; 25.69/9.65 421[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];421 -> 643[label="",style="solid", color="black", weight=3]; 25.69/9.65 422[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];422 -> 644[label="",style="solid", color="black", weight=3]; 25.69/9.65 423[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];423 -> 645[label="",style="solid", color="black", weight=3]; 25.69/9.65 424[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];424 -> 646[label="",style="solid", color="black", weight=3]; 25.69/9.65 425[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];425 -> 647[label="",style="solid", color="black", weight=3]; 25.69/9.65 426[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];426 -> 648[label="",style="solid", color="black", weight=3]; 25.69/9.65 427[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];427 -> 649[label="",style="solid", color="black", weight=3]; 25.69/9.65 428[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];428 -> 650[label="",style="solid", color="black", weight=3]; 25.69/9.65 429[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];429 -> 651[label="",style="solid", color="black", weight=3]; 25.69/9.65 430[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];430 -> 652[label="",style="solid", color="black", weight=3]; 25.69/9.65 431[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];431 -> 653[label="",style="solid", color="black", weight=3]; 25.69/9.65 432[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];432 -> 654[label="",style="solid", color="black", weight=3]; 25.69/9.65 433[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];433 -> 655[label="",style="solid", color="black", weight=3]; 25.69/9.65 434[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];434 -> 656[label="",style="solid", color="black", weight=3]; 25.69/9.65 435[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];435 -> 657[label="",style="solid", color="black", weight=3]; 25.69/9.65 436[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];436 -> 658[label="",style="solid", color="black", weight=3]; 25.69/9.65 437[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];437 -> 659[label="",style="solid", color="black", weight=3]; 25.69/9.65 438[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];438 -> 660[label="",style="solid", color="black", weight=3]; 25.69/9.65 439[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];439 -> 661[label="",style="solid", color="black", weight=3]; 25.69/9.65 440[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];440 -> 662[label="",style="solid", color="black", weight=3]; 25.69/9.65 441[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];441 -> 663[label="",style="solid", color="black", weight=3]; 25.69/9.65 442[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];442 -> 664[label="",style="solid", color="black", weight=3]; 25.69/9.65 443[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];443 -> 665[label="",style="solid", color="black", weight=3]; 25.69/9.65 444[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];444 -> 666[label="",style="solid", color="black", weight=3]; 25.69/9.65 445[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];445 -> 667[label="",style="solid", color="black", weight=3]; 25.69/9.65 446[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];446 -> 668[label="",style="solid", color="black", weight=3]; 25.69/9.65 447[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];447 -> 669[label="",style="solid", color="black", weight=3]; 25.69/9.65 448[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];448 -> 670[label="",style="solid", color="black", weight=3]; 25.69/9.65 449[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];449 -> 671[label="",style="solid", color="black", weight=3]; 25.69/9.65 450[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];450 -> 672[label="",style="solid", color="black", weight=3]; 25.69/9.65 451[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];451 -> 673[label="",style="solid", color="black", weight=3]; 25.69/9.65 452[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];452 -> 674[label="",style="solid", color="black", weight=3]; 25.69/9.65 453[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];453 -> 675[label="",style="solid", color="black", weight=3]; 25.69/9.65 454[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];454 -> 676[label="",style="solid", color="black", weight=3]; 25.69/9.65 455[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];455 -> 677[label="",style="solid", color="black", weight=3]; 25.69/9.65 456[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];456 -> 678[label="",style="solid", color="black", weight=3]; 25.69/9.65 457[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];457 -> 679[label="",style="solid", color="black", weight=3]; 25.69/9.65 458[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];458 -> 680[label="",style="solid", color="black", weight=3]; 25.69/9.65 459[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];459 -> 681[label="",style="solid", color="black", weight=3]; 25.69/9.65 460[label="List.insertBy0 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ww47) (primCmpInt (Neg (Succ ww2290)) (Pos (primMulNat ww430 ww460)))",fontsize=16,color="black",shape="box"];2830 -> 2841[label="",style="solid", color="black", weight=3]; 25.69/9.65 2831[label="List.insertBy0 (Pos ww430 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Pos ww430 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg (Succ ww2290)) (Neg (primMulNat ww430 ww460)))",fontsize=16,color="black",shape="box"];2831 -> 2842[label="",style="solid", color="black", weight=3]; 25.69/9.65 2832[label="List.insertBy0 (Neg ww430 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos ww460) ww47 (Neg ww430 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg (Succ ww2290)) (Neg (primMulNat ww430 ww460)))",fontsize=16,color="black",shape="box"];2832 -> 2843[label="",style="solid", color="black", weight=3]; 25.69/9.65 2833[label="List.insertBy0 (Neg ww430 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Neg ww430 :% Pos (Succ ww44) : ww47) (primCmpInt (Neg (Succ ww2290)) (Pos 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473[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];473 -> 696[label="",style="solid", color="black", weight=3]; 25.69/9.65 474[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];474 -> 697[label="",style="solid", color="black", weight=3]; 25.69/9.65 475[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];475 -> 698[label="",style="solid", color="black", weight=3]; 25.69/9.65 476[label="List.insertBy0 (Pos Zero :% Pos Zero) 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711[label="",style="solid", color="black", weight=3]; 25.69/9.65 489[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];489 -> 712[label="",style="solid", color="black", weight=3]; 25.69/9.65 490[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];490 -> 713[label="",style="solid", color="black", weight=3]; 25.69/9.65 491[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];491 -> 714[label="",style="solid", color="black", weight=3]; 25.69/9.65 492[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];492 -> 715[label="",style="solid", color="black", weight=3]; 25.69/9.65 493[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];493 -> 716[label="",style="solid", color="black", weight=3]; 25.69/9.65 494[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];494 -> 717[label="",style="solid", 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498[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];498 -> 721[label="",style="solid", color="black", weight=3]; 25.69/9.65 499[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];499 -> 722[label="",style="solid", color="black", weight=3]; 25.69/9.65 500[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];500 -> 723[label="",style="solid", color="black", weight=3]; 25.69/9.65 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733[label="",style="solid", color="black", weight=3]; 25.69/9.65 511[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];511 -> 734[label="",style="solid", color="black", weight=3]; 25.69/9.65 512[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];512 -> 735[label="",style="solid", color="black", weight=3]; 25.69/9.65 513[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];513 -> 736[label="",style="solid", color="black", weight=3]; 25.69/9.65 514[label="List.insertBy0 (Neg (Succ ww40000) 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5890[label="ww490/Zero",fontsize=10,color="white",style="solid",shape="box"];3204 -> 5890[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5890 -> 3216[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 3205[label="List.insertBy0 (Pos ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Pos ww490 :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat ww490 ww520)))",fontsize=16,color="burlywood",shape="box"];5891[label="ww490/Succ ww4900",fontsize=10,color="white",style="solid",shape="box"];3205 -> 5891[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5891 -> 3217[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5892[label="ww490/Zero",fontsize=10,color="white",style="solid",shape="box"];3205 -> 5892[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5892 -> 3218[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 3206[label="List.insertBy0 (Neg ww490 :% Neg (Succ 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Zero)))",fontsize=16,color="black",shape="box"];542 -> 766[label="",style="solid", color="black", weight=3]; 25.69/9.65 543[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];543 -> 767[label="",style="solid", color="black", weight=3]; 25.69/9.65 544[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];544 -> 768[label="",style="solid", color="black", weight=3]; 25.69/9.65 545[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww40000) (Succ 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781[label="",style="solid", color="black", weight=3]; 25.69/9.65 558[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];558 -> 782[label="",style="solid", color="black", weight=3]; 25.69/9.65 559[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];559 -> 783[label="",style="solid", color="black", weight=3]; 25.69/9.65 560[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];560 -> 784[label="",style="solid", color="black", weight=3]; 25.69/9.65 561[label="List.insertBy0 (Pos (Succ ww40000) 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ww3100))))",fontsize=16,color="black",shape="box"];567 -> 791[label="",style="solid", color="black", weight=3]; 25.69/9.65 568[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];568 -> 792[label="",style="solid", color="black", weight=3]; 25.69/9.65 569[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) (Succ ww3100))))",fontsize=16,color="black",shape="box"];569 -> 793[label="",style="solid", color="black", weight=3]; 25.69/9.65 570[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww40000) Zero)))",fontsize=16,color="black",shape="box"];570 -> 794[label="",style="solid", color="black", weight=3]; 25.69/9.65 571[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];571 -> 795[label="",style="solid", color="black", weight=3]; 25.69/9.65 572[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];572 -> 796[label="",style="solid", color="black", weight=3]; 25.69/9.65 2071[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos ww240 :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat ww240 ww270))",fontsize=16,color="burlywood",shape="box"];5897[label="ww240/Succ ww2400",fontsize=10,color="white",style="solid",shape="box"];2071 -> 5897[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5897 -> 2089[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5898[label="ww240/Zero",fontsize=10,color="white",style="solid",shape="box"];2071 -> 5898[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5898 -> 2090[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2072[label="List.insertBy0 (Pos ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Pos ww240 :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="triangle"];2072 -> 2091[label="",style="solid", color="black", weight=3]; 25.69/9.65 2073[label="List.insertBy0 (Neg ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Neg ww240 :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="triangle"];2073 -> 2092[label="",style="solid", color="black", weight=3]; 25.69/9.65 2074[label="List.insertBy0 (Neg ww240 :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Neg ww240 :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat ww240 ww270))",fontsize=16,color="burlywood",shape="box"];5899[label="ww240/Succ ww2400",fontsize=10,color="white",style="solid",shape="box"];2074 -> 5899[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5899 -> 2093[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5900[label="ww240/Zero",fontsize=10,color="white",style="solid",shape="box"];2074 -> 5900[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5900 -> 2094[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2075[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww2400) ww270)))",fontsize=16,color="burlywood",shape="box"];5901[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2075 -> 5901[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5901 -> 2095[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5902[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2075 -> 5902[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5902 -> 2096[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2076[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat Zero ww270)))",fontsize=16,color="burlywood",shape="box"];5903[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2076 -> 5903[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5903 -> 2097[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5904[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2076 -> 5904[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5904 -> 2098[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2077[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww2400) ww270)))",fontsize=16,color="burlywood",shape="box"];5905[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2077 -> 5905[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5905 -> 2099[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5906[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2077 -> 5906[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5906 -> 2100[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2078[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat Zero ww270)))",fontsize=16,color="burlywood",shape="box"];5907[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2078 -> 5907[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5907 -> 2101[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5908[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2078 -> 5908[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5908 -> 2102[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2079[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww2400) ww270)))",fontsize=16,color="burlywood",shape="box"];5909[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2079 -> 5909[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5909 -> 2103[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5910[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2079 -> 5910[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5910 -> 2104[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2080[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat Zero ww270)))",fontsize=16,color="burlywood",shape="box"];5911[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2080 -> 5911[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5911 -> 2105[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5912[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2080 -> 5912[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5912 -> 2106[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2081[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww2400) ww270)))",fontsize=16,color="burlywood",shape="box"];5913[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2081 -> 5913[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5913 -> 2107[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5914[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2081 -> 5914[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5914 -> 2108[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2082[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat Zero ww270)))",fontsize=16,color="burlywood",shape="box"];5915[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2082 -> 5915[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5915 -> 2109[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5916[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2082 -> 5916[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5916 -> 2110[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 581[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5917[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];581 -> 5917[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5917 -> 806[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5918[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];581 -> 5918[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5918 -> 807[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 582[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];582 -> 808[label="",style="solid", color="black", weight=3]; 25.69/9.65 583[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];583 -> 809[label="",style="solid", color="black", weight=3]; 25.69/9.65 584[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];584 -> 810[label="",style="solid", color="black", weight=3]; 25.69/9.65 585[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5919[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];585 -> 5919[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5919 -> 811[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5920[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];585 -> 5920[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5920 -> 812[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 586[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];586 -> 813[label="",style="solid", color="black", weight=3]; 25.69/9.65 587[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];587 -> 814[label="",style="solid", color="black", weight=3]; 25.69/9.65 588[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];588 -> 815[label="",style="solid", color="black", weight=3]; 25.69/9.65 589[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5921[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];589 -> 5921[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5921 -> 816[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5922[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];589 -> 5922[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5922 -> 817[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 590[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];590 -> 818[label="",style="solid", color="black", weight=3]; 25.69/9.65 591[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];591 -> 819[label="",style="solid", color="black", weight=3]; 25.69/9.65 592[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];592 -> 820[label="",style="solid", color="black", weight=3]; 25.69/9.65 593[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5923[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];593 -> 5923[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5923 -> 821[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5924[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];593 -> 5924[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5924 -> 822[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 594[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];594 -> 823[label="",style="solid", color="black", weight=3]; 25.69/9.65 595[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];595 -> 824[label="",style="solid", color="black", weight=3]; 25.69/9.65 596[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];596 -> 825[label="",style="solid", color="black", weight=3]; 25.69/9.65 597[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5925[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];597 -> 5925[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5925 -> 826[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5926[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];597 -> 5926[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5926 -> 827[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 598[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];598 -> 828[label="",style="solid", color="black", weight=3]; 25.69/9.65 599[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];599 -> 829[label="",style="solid", color="black", weight=3]; 25.69/9.65 600[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];600 -> 830[label="",style="solid", color="black", weight=3]; 25.69/9.65 601[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5927[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];601 -> 5927[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5927 -> 831[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5928[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];601 -> 5928[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5928 -> 832[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 602[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];602 -> 833[label="",style="solid", color="black", weight=3]; 25.69/9.65 603[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];603 -> 834[label="",style="solid", color="black", weight=3]; 25.69/9.65 604[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];604 -> 835[label="",style="solid", color="black", weight=3]; 25.69/9.65 605[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5929[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];605 -> 5929[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5929 -> 836[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5930[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];605 -> 5930[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5930 -> 837[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 606[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];606 -> 838[label="",style="solid", color="black", weight=3]; 25.69/9.65 607[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];607 -> 839[label="",style="solid", color="black", weight=3]; 25.69/9.65 608[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg 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Zero))",fontsize=16,color="black",shape="box"];615 -> 849[label="",style="solid", color="black", weight=3]; 25.69/9.65 616[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];616 -> 850[label="",style="solid", color="black", weight=3]; 25.69/9.65 617[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5935[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];617 -> 5935[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5935 -> 851[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5936[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];617 -> 5936[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5936 -> 852[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 618[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];618 -> 853[label="",style="solid", color="black", weight=3]; 25.69/9.65 619[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];619 -> 854[label="",style="solid", color="black", weight=3]; 25.69/9.65 620[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];620 -> 855[label="",style="solid", color="black", weight=3]; 25.69/9.65 621[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5937[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];621 -> 5937[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5937 -> 856[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5938[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];621 -> 5938[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5938 -> 857[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 622[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];622 -> 858[label="",style="solid", color="black", weight=3]; 25.69/9.65 623[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];623 -> 859[label="",style="solid", color="black", weight=3]; 25.69/9.65 624[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];624 -> 860[label="",style="solid", color="black", weight=3]; 25.69/9.65 625[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5939[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];625 -> 5939[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5939 -> 861[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5940[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];625 -> 5940[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5940 -> 862[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 626[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];626 -> 863[label="",style="solid", color="black", weight=3]; 25.69/9.65 627[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];627 -> 864[label="",style="solid", color="black", weight=3]; 25.69/9.65 628[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];628 -> 865[label="",style="solid", color="black", weight=3]; 25.69/9.65 2141[label="ww5900",fontsize=16,color="green",shape="box"];2142[label="ww401000",fontsize=16,color="green",shape="box"];2459[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="black",shape="triangle"];2459 -> 2473[label="",style="solid", color="black", weight=3]; 25.69/9.65 2460[label="List.insertBy0 (Pos ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Pos ww300 :% Neg (Succ ww31) : ww34) (primCmpNat (primMulNat ww300 ww330) (Succ ww1440))",fontsize=16,color="burlywood",shape="box"];5941[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];2460 -> 5941[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5941 -> 2474[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5942[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];2460 -> 5942[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5942 -> 2475[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2461[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg ww300 :% Neg (Succ ww31) : ww34) (primCmpNat (primMulNat ww300 ww330) (Succ ww1440))",fontsize=16,color="burlywood",shape="box"];5943[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];2461 -> 5943[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5943 -> 2476[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5944[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];2461 -> 5944[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5944 -> 2477[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2462[label="List.insertBy0 (Neg ww300 :% Neg (Succ ww31)) 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ww3300",fontsize=10,color="white",style="solid",shape="box"];2465 -> 5949[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5949 -> 2483[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5950[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2465 -> 5950[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5950 -> 2484[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2466[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primMulNat Zero ww330)))",fontsize=16,color="burlywood",shape="box"];5951[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2466 -> 5951[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5951 -> 2485[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5952[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2466 -> 5952[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5952 -> 2486[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2467[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww3000) ww330)))",fontsize=16,color="burlywood",shape="box"];5953[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2467 -> 5953[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5953 -> 2487[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5954[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2467 -> 5954[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5954 -> 2488[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2468[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primMulNat Zero ww330)))",fontsize=16,color="burlywood",shape="box"];5955[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2468 -> 5955[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5955 -> 2489[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5956[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2468 -> 5956[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5956 -> 2490[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2469[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww3000) ww330)))",fontsize=16,color="burlywood",shape="box"];5957[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2469 -> 5957[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5957 -> 2491[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5958[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2469 -> 5958[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5958 -> 2492[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 2470[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg ww330) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (primMulNat Zero ww330)))",fontsize=16,color="burlywood",shape="box"];5959[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2470 -> 5959[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5959 -> 2493[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5960[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2470 -> 5960[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5960 -> 2494[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 637[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5961[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];637 -> 5961[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5961 -> 875[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 5962[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];637 -> 5962[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5962 -> 876[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 638[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];638 -> 877[label="",style="solid", color="black", weight=3]; 25.69/9.65 639[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];639 -> 878[label="",style="solid", color="black", weight=3]; 25.69/9.65 640[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];640 -> 879[label="",style="solid", color="black", weight=3]; 25.69/9.65 641[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) 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5966[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];645 -> 5966[label="",style="solid", color="burlywood", weight=9]; 25.69/9.65 5966 -> 886[label="",style="solid", color="burlywood", weight=3]; 25.69/9.65 646[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];646 -> 887[label="",style="solid", color="black", weight=3]; 25.69/9.65 647[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];647 -> 888[label="",style="solid", color="black", weight=3]; 25.69/9.65 648[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg 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5976[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];669 -> 5976[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5976 -> 920[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 670[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];670 -> 921[label="",style="solid", color="black", weight=3]; 25.69/9.66 671[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];671 -> 922[label="",style="solid", color="black", weight=3]; 25.69/9.66 672[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];672 -> 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25.69/9.66 680[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];680 -> 933[label="",style="solid", color="black", weight=3]; 25.69/9.66 681[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];5981[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];681 -> 5981[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5981 -> 934[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5982[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 5982[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5982 -> 935[label="",style="solid", 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LT",fontsize=16,color="black",shape="triangle"];2841 -> 2855[label="",style="solid", color="black", weight=3]; 25.69/9.66 2842[label="List.insertBy0 (Pos ww430 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Pos ww430 :% Pos (Succ ww44) : ww47) (primCmpNat (primMulNat ww430 ww460) (Succ ww2290))",fontsize=16,color="burlywood",shape="box"];5983[label="ww430/Succ ww4300",fontsize=10,color="white",style="solid",shape="box"];2842 -> 5983[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5983 -> 2856[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5984[label="ww430/Zero",fontsize=10,color="white",style="solid",shape="box"];2842 -> 5984[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5984 -> 2857[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2843[label="List.insertBy0 (Neg ww430 :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos ww460) ww47 (Neg ww430 :% Pos (Succ ww44) : ww47) (primCmpNat (primMulNat ww430 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weight=3]; 25.69/9.66 5990[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2846 -> 5990[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5990 -> 2864[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2847[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww4300) ww460)))",fontsize=16,color="burlywood",shape="box"];5991[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2847 -> 5991[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5991 -> 2865[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5992[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2847 -> 5992[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5992 -> 2866[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2848[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (primMulNat Zero ww460)))",fontsize=16,color="burlywood",shape="box"];5993[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2848 -> 5993[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5993 -> 2867[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5994[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2848 -> 5994[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5994 -> 2868[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2849[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos ww460) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (primMulNat (Succ ww4300) ww460)))",fontsize=16,color="burlywood",shape="box"];5995[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2849 -> 5995[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5995 -> 2869[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5996[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2849 -> 5996[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5996 -> 2870[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2850[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos ww460) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (primMulNat Zero ww460)))",fontsize=16,color="burlywood",shape="box"];5997[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2850 -> 5997[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5997 -> 2871[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 5998[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2850 -> 5998[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5998 -> 2872[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2851[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos (primMulNat (Succ ww4300) ww460)))",fontsize=16,color="burlywood",shape="box"];5999[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2851 -> 5999[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 5999 -> 2873[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6000[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2851 -> 6000[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6000 -> 2874[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2852[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos (primMulNat Zero ww460)))",fontsize=16,color="burlywood",shape="box"];6001[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2852 -> 6001[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6001 -> 2875[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6002[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2852 -> 6002[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6002 -> 2876[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 693[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6003[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];693 -> 6003[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6003 -> 948[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6004[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];693 -> 6004[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6004 -> 949[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 694[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];694 -> 950[label="",style="solid", color="black", weight=3]; 25.69/9.66 695[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];695 -> 951[label="",style="solid", color="black", weight=3]; 25.69/9.66 696[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];696 -> 952[label="",style="solid", color="black", weight=3]; 25.69/9.66 697[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6005[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];697 -> 6005[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6005 -> 953[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6006[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];697 -> 6006[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6006 -> 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Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6007[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];701 -> 6007[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6007 -> 958[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6008[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];701 -> 6008[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6008 -> 959[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 702[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];702 -> 960[label="",style="solid", color="black", weight=3]; 25.69/9.66 703[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];703 -> 961[label="",style="solid", color="black", weight=3]; 25.69/9.66 704[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];704 -> 962[label="",style="solid", color="black", weight=3]; 25.69/9.66 705[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6009[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];705 -> 6009[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6009 -> 963[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6010[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];705 -> 6010[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6010 -> 964[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 706[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];706 -> 965[label="",style="solid", color="black", weight=3]; 25.69/9.66 707[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];707 -> 966[label="",style="solid", color="black", weight=3]; 25.69/9.66 708[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];708 -> 967[label="",style="solid", color="black", weight=3]; 25.69/9.66 709[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6011[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];709 -> 6011[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6011 -> 968[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6012[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];709 -> 6012[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6012 -> 969[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 710[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare 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25.69/9.66 6016[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];717 -> 6016[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6016 -> 979[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 718[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];718 -> 980[label="",style="solid", color="black", weight=3]; 25.69/9.66 719[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];719 -> 981[label="",style="solid", color="black", weight=3]; 25.69/9.66 720[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg 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(Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];722 -> 985[label="",style="solid", color="black", weight=3]; 25.69/9.66 723[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];723 -> 986[label="",style="solid", color="black", weight=3]; 25.69/9.66 724[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];724 -> 987[label="",style="solid", color="black", weight=3]; 25.69/9.66 725[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ 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Zero))",fontsize=16,color="black",shape="box"];727 -> 991[label="",style="solid", color="black", weight=3]; 25.69/9.66 728[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];728 -> 992[label="",style="solid", color="black", weight=3]; 25.69/9.66 729[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6021[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];729 -> 6021[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6021 -> 993[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6022[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];729 -> 6022[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6022 -> 994[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 730[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];730 -> 995[label="",style="solid", color="black", weight=3]; 25.69/9.66 731[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];731 -> 996[label="",style="solid", color="black", weight=3]; 25.69/9.66 732[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];732 -> 997[label="",style="solid", color="black", weight=3]; 25.69/9.66 733[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6023[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];733 -> 6023[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6023 -> 998[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6024[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];733 -> 6024[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6024 -> 999[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 734[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];734 -> 1000[label="",style="solid", color="black", weight=3]; 25.69/9.66 735[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];735 -> 1001[label="",style="solid", color="black", weight=3]; 25.69/9.66 736[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];736 -> 1002[label="",style="solid", color="black", weight=3]; 25.69/9.66 737[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6025[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];737 -> 6025[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6025 -> 1003[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6026[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];737 -> 6026[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6026 -> 1004[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 738[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];738 -> 1005[label="",style="solid", color="black", weight=3]; 25.69/9.66 739[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];739 -> 1006[label="",style="solid", color="black", weight=3]; 25.69/9.66 740[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];740 -> 1007[label="",style="solid", color="black", weight=3]; 25.69/9.66 3211[label="List.insertBy0 (Pos ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Pos ww490 :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (primMulNat ww490 ww520))",fontsize=16,color="burlywood",shape="box"];6027[label="ww490/Succ ww4900",fontsize=10,color="white",style="solid",shape="box"];3211 -> 6027[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6027 -> 3225[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6028[label="ww490/Zero",fontsize=10,color="white",style="solid",shape="box"];3211 -> 6028[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6028 -> 3226[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3212[label="List.insertBy0 (Pos ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Pos ww490 :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="triangle"];3212 -> 3227[label="",style="solid", color="black", weight=3]; 25.69/9.66 3213[label="List.insertBy0 (Neg ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Neg ww490 :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="triangle"];3213 -> 3228[label="",style="solid", color="black", weight=3]; 25.69/9.66 3214[label="List.insertBy0 (Neg ww490 :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Neg ww490 :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (primMulNat ww490 ww520))",fontsize=16,color="burlywood",shape="box"];6029[label="ww490/Succ ww4900",fontsize=10,color="white",style="solid",shape="box"];3214 -> 6029[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6029 -> 3229[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6030[label="ww490/Zero",fontsize=10,color="white",style="solid",shape="box"];3214 -> 6030[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6030 -> 3230[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3215[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww4900) ww520)))",fontsize=16,color="burlywood",shape="box"];6031[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3215 -> 6031[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6031 -> 3231[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6032[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3215 -> 6032[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6032 -> 3232[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3216[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat Zero ww520)))",fontsize=16,color="burlywood",shape="box"];6033[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3216 -> 6033[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6033 -> 3233[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6034[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3216 -> 6034[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6034 -> 3234[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3217[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) ww520)))",fontsize=16,color="burlywood",shape="box"];6035[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3217 -> 6035[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6035 -> 3235[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6036[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3217 -> 6036[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6036 -> 3236[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3218[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat Zero ww520)))",fontsize=16,color="burlywood",shape="box"];6037[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3218 -> 6037[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6037 -> 3237[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6038[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3218 -> 6038[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6038 -> 3238[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3219[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) ww520)))",fontsize=16,color="burlywood",shape="box"];6039[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3219 -> 6039[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6039 -> 3239[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6040[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3219 -> 6040[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6040 -> 3240[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3220[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat Zero ww520)))",fontsize=16,color="burlywood",shape="box"];6041[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3220 -> 6041[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6041 -> 3241[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6042[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3220 -> 6042[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6042 -> 3242[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3221[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww4900) ww520)))",fontsize=16,color="burlywood",shape="box"];6043[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3221 -> 6043[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6043 -> 3243[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6044[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3221 -> 6044[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6044 -> 3244[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3222[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg ww520) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat Zero ww520)))",fontsize=16,color="burlywood",shape="box"];6045[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3222 -> 6045[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6045 -> 3245[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6046[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3222 -> 6046[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6046 -> 3246[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 749[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6047[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];749 -> 6047[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6047 -> 1017[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6048[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];749 -> 6048[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6048 -> 1018[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 750[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];750 -> 1019[label="",style="solid", color="black", weight=3]; 25.69/9.66 751[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];751 -> 1020[label="",style="solid", color="black", weight=3]; 25.69/9.66 752[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];752 -> 1021[label="",style="solid", color="black", weight=3]; 25.69/9.66 753[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6049[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];753 -> 6049[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6049 -> 1022[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6050[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];753 -> 6050[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6050 -> 1023[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 754[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];754 -> 1024[label="",style="solid", color="black", weight=3]; 25.69/9.66 755[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];755 -> 1025[label="",style="solid", color="black", weight=3]; 25.69/9.66 756[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];756 -> 1026[label="",style="solid", color="black", weight=3]; 25.69/9.66 757[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6051[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];757 -> 6051[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6051 -> 1027[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6052[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];757 -> 6052[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6052 -> 1028[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 758[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];758 -> 1029[label="",style="solid", color="black", weight=3]; 25.69/9.66 759[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];759 -> 1030[label="",style="solid", color="black", weight=3]; 25.69/9.66 760[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];760 -> 1031[label="",style="solid", color="black", weight=3]; 25.69/9.66 761[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) 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ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];763 -> 1035[label="",style="solid", color="black", weight=3]; 25.69/9.66 764[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];764 -> 1036[label="",style="solid", color="black", weight=3]; 25.69/9.66 765[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6055[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];765 -> 6055[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6055 -> 1037[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6056[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];765 -> 6056[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6056 -> 1038[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 766[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];766 -> 1039[label="",style="solid", color="black", weight=3]; 25.69/9.66 767[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];767 -> 1040[label="",style="solid", color="black", weight=3]; 25.69/9.66 768[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];768 -> 1041[label="",style="solid", color="black", weight=3]; 25.69/9.66 769[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6057[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];769 -> 6057[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6057 -> 1042[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6058[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];769 -> 6058[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6058 -> 1043[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 770[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];770 -> 1044[label="",style="solid", color="black", weight=3]; 25.69/9.66 771[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];771 -> 1045[label="",style="solid", color="black", weight=3]; 25.69/9.66 772[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];772 -> 1046[label="",style="solid", color="black", weight=3]; 25.69/9.66 773[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat 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: ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];775 -> 1050[label="",style="solid", color="black", weight=3]; 25.69/9.66 776[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];776 -> 1051[label="",style="solid", color="black", weight=3]; 25.69/9.66 777[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6061[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];777 -> 6061[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6061 -> 1052[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6062[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];777 -> 6062[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6062 -> 1053[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 778[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];778 -> 1054[label="",style="solid", color="black", weight=3]; 25.69/9.66 779[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];779 -> 1055[label="",style="solid", color="black", weight=3]; 25.69/9.66 780[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];780 -> 1056[label="",style="solid", color="black", weight=3]; 25.69/9.66 781[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6063[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];781 -> 6063[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6063 -> 1057[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6064[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];781 -> 6064[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6064 -> 1058[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 782[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];782 -> 1059[label="",style="solid", color="black", weight=3]; 25.69/9.66 783[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];783 -> 1060[label="",style="solid", color="black", weight=3]; 25.69/9.66 784[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];784 -> 1061[label="",style="solid", color="black", weight=3]; 25.69/9.66 785[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6065[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];785 -> 6065[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6065 -> 1062[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6066[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];785 -> 6066[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6066 -> 1063[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 786[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];786 -> 1064[label="",style="solid", color="black", weight=3]; 25.69/9.66 787[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];787 -> 1065[label="",style="solid", color="black", weight=3]; 25.69/9.66 788[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];788 -> 1066[label="",style="solid", color="black", weight=3]; 25.69/9.66 789[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6067[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];789 -> 6067[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6067 -> 1067[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6068[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];789 -> 6068[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6068 -> 1068[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 790[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];790 -> 1069[label="",style="solid", color="black", weight=3]; 25.69/9.66 791[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];791 -> 1070[label="",style="solid", color="black", weight=3]; 25.69/9.66 792[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];792 -> 1071[label="",style="solid", color="black", weight=3]; 25.69/9.66 793[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww40000 (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6069[label="ww40000/Succ ww400000",fontsize=10,color="white",style="solid",shape="box"];793 -> 6069[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6069 -> 1072[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6070[label="ww40000/Zero",fontsize=10,color="white",style="solid",shape="box"];793 -> 6070[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6070 -> 1073[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 794[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];794 -> 1074[label="",style="solid", color="black", weight=3]; 25.69/9.66 795[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];795 -> 1075[label="",style="solid", color="black", weight=3]; 25.69/9.66 796[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];796 -> 1076[label="",style="solid", color="black", weight=3]; 25.69/9.66 2089[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat (Succ ww2400) ww270))",fontsize=16,color="burlywood",shape="box"];6071[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2089 -> 6071[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6071 -> 2115[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6072[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2089 -> 6072[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6072 -> 2116[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2090[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos ww270) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat Zero ww270))",fontsize=16,color="burlywood",shape="box"];6073[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2090 -> 6073[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6073 -> 2117[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6074[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2090 -> 6074[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6074 -> 2118[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2091[label="Pos ww240 :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Neg ww270) ww28",fontsize=16,color="green",shape="box"];2091 -> 2119[label="",style="dashed", color="green", weight=3]; 25.69/9.66 2092[label="Neg ww240 :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Pos ww270) ww28",fontsize=16,color="green",shape="box"];2092 -> 2120[label="",style="dashed", color="green", weight=3]; 25.69/9.66 2093[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat (Succ ww2400) ww270))",fontsize=16,color="burlywood",shape="box"];6075[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2093 -> 6075[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6075 -> 2121[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6076[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2093 -> 6076[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6076 -> 2122[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2094[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg ww270) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (primMulNat Zero ww270))",fontsize=16,color="burlywood",shape="box"];6077[label="ww270/Succ ww2700",fontsize=10,color="white",style="solid",shape="box"];2094 -> 6077[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6077 -> 2123[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6078[label="ww270/Zero",fontsize=10,color="white",style="solid",shape="box"];2094 -> 6078[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6078 -> 2124[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2095[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww2400) (Succ ww2700))))",fontsize=16,color="black",shape="box"];2095 -> 2125[label="",style="solid", color="black", weight=3]; 25.69/9.66 2096[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww2400) Zero)))",fontsize=16,color="black",shape="box"];2096 -> 2126[label="",style="solid", color="black", weight=3]; 25.69/9.66 2097[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww2700))))",fontsize=16,color="black",shape="box"];2097 -> 2127[label="",style="solid", color="black", weight=3]; 25.69/9.66 2098[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];2098 -> 2128[label="",style="solid", color="black", weight=3]; 25.69/9.66 2099[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww2400) (Succ ww2700))))",fontsize=16,color="black",shape="box"];2099 -> 2129[label="",style="solid", color="black", weight=3]; 25.69/9.66 2100[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww2400) Zero)))",fontsize=16,color="black",shape="box"];2100 -> 2130[label="",style="solid", color="black", weight=3]; 25.69/9.66 2101[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww2700))))",fontsize=16,color="black",shape="box"];2101 -> 2131[label="",style="solid", color="black", weight=3]; 25.69/9.66 2102[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];2102 -> 2132[label="",style="solid", color="black", weight=3]; 25.69/9.66 2103[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww2400) (Succ ww2700))))",fontsize=16,color="black",shape="box"];2103 -> 2133[label="",style="solid", color="black", weight=3]; 25.69/9.66 2104[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% 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ww28) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];2110 -> 2140[label="",style="solid", color="black", weight=3]; 25.69/9.66 806[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];806 -> 1091[label="",style="solid", color="black", weight=3]; 25.69/9.66 807[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];807 -> 1092[label="",style="solid", color="black", weight=3]; 25.69/9.66 808[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];808 -> 1093[label="",style="solid", color="black", weight=3]; 25.69/9.66 809[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];809 -> 1094[label="",style="solid", color="black", weight=3]; 25.69/9.66 810[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];810 -> 1095[label="",style="solid", color="black", weight=3]; 25.69/9.66 811[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];811 -> 1096[label="",style="solid", color="black", weight=3]; 25.69/9.66 812[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];812 -> 1097[label="",style="solid", color="black", weight=3]; 25.69/9.66 813[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];813 -> 1098[label="",style="solid", color="black", weight=3]; 25.69/9.66 814 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 814[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];814 -> 1184[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 814 -> 1185[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 814 -> 1186[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 814 -> 1187[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 815[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];815 -> 1100[label="",style="solid", color="black", weight=3]; 25.69/9.66 816[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];816 -> 1101[label="",style="solid", color="black", weight=3]; 25.69/9.66 817[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];817 -> 1102[label="",style="solid", color="black", weight=3]; 25.69/9.66 818[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];818 -> 1103[label="",style="solid", color="black", weight=3]; 25.69/9.66 819[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];819 -> 1104[label="",style="solid", color="black", weight=3]; 25.69/9.66 820[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];820 -> 1105[label="",style="solid", color="black", weight=3]; 25.69/9.66 821[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];821 -> 1106[label="",style="solid", color="black", weight=3]; 25.69/9.66 822[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];822 -> 1107[label="",style="solid", color="black", weight=3]; 25.69/9.66 823[label="List.insertBy0 (Neg (Succ ww40000) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];823 -> 1108[label="",style="solid", color="black", weight=3]; 25.69/9.66 824 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 824[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];824 -> 1188[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 824 -> 1189[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 824 -> 1190[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 824 -> 1191[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 825[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];825 -> 1110[label="",style="solid", color="black", weight=3]; 25.69/9.66 826[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];826 -> 1111[label="",style="solid", color="black", weight=3]; 25.69/9.66 827[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];827 -> 1112[label="",style="solid", color="black", weight=3]; 25.69/9.66 828[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];828 -> 1113[label="",style="solid", color="black", weight=3]; 25.69/9.66 829[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];829 -> 1114[label="",style="solid", color="black", weight=3]; 25.69/9.66 830[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];830 -> 1115[label="",style="solid", color="black", weight=3]; 25.69/9.66 831[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];831 -> 1116[label="",style="solid", color="black", weight=3]; 25.69/9.66 832[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];832 -> 1117[label="",style="solid", color="black", weight=3]; 25.69/9.66 833[label="List.insertBy0 (Pos (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];833 -> 1118[label="",style="solid", color="black", weight=3]; 25.69/9.66 834[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];834 -> 1119[label="",style="solid", color="black", weight=3]; 25.69/9.66 835[label="List.insertBy0 (Pos Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];835 -> 1120[label="",style="solid", color="black", weight=3]; 25.69/9.66 836[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];836 -> 1121[label="",style="solid", color="black", weight=3]; 25.69/9.66 837[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];837 -> 1122[label="",style="solid", color="black", weight=3]; 25.69/9.66 838[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];838 -> 1123[label="",style="solid", color="black", weight=3]; 25.69/9.66 839[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];839 -> 1124[label="",style="solid", color="black", weight=3]; 25.69/9.66 840[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];840 -> 1125[label="",style="solid", color="black", weight=3]; 25.69/9.66 841[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];841 -> 1126[label="",style="solid", color="black", weight=3]; 25.69/9.66 842[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ 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860[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];860 -> 1145[label="",style="solid", color="black", weight=3]; 25.69/9.66 861[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];861 -> 1146[label="",style="solid", color="black", weight=3]; 25.69/9.66 862[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];862 -> 1147[label="",style="solid", color="black", weight=3]; 25.69/9.66 863[label="List.insertBy0 (Neg (Succ ww40000) :% Pos 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6082[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2475 -> 6082[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6082 -> 2501[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2476[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos ww330) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (primMulNat (Succ ww3000) ww330) (Succ ww1440))",fontsize=16,color="burlywood",shape="box"];6083[label="ww330/Succ ww3300",fontsize=10,color="white",style="solid",shape="box"];2476 -> 6083[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6083 -> 2502[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6084[label="ww330/Zero",fontsize=10,color="white",style="solid",shape="box"];2476 -> 6084[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6084 -> 2503[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2477[label="List.insertBy0 (Neg 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EQ",fontsize=16,color="black",shape="box"];877 -> 1167[label="",style="solid", color="black", weight=3]; 25.69/9.66 878[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];878 -> 1168[label="",style="solid", color="black", weight=3]; 25.69/9.66 879[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];879 -> 1169[label="",style="solid", color="black", weight=3]; 25.69/9.66 880[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];880 -> 1170[label="",style="solid", color="black", weight=3]; 25.69/9.66 881[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];881 -> 1171[label="",style="solid", color="black", weight=3]; 25.69/9.66 882[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];882 -> 1172[label="",style="solid", color="black", weight=3]; 25.69/9.66 883 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 883[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];883 -> 1192[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 883 -> 1193[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 883 -> 1194[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 883 -> 1195[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 884[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];884 -> 1174[label="",style="solid", color="black", weight=3]; 25.69/9.66 885[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];885 -> 1175[label="",style="solid", color="black", weight=3]; 25.69/9.66 886[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];886 -> 1176[label="",style="solid", color="black", weight=3]; 25.69/9.66 887[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];887 -> 1177[label="",style="solid", color="black", weight=3]; 25.69/9.66 888[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];888 -> 1178[label="",style="solid", color="black", weight=3]; 25.69/9.66 889[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];889 -> 1179[label="",style="solid", color="black", weight=3]; 25.69/9.66 890[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];890 -> 1180[label="",style="solid", color="black", weight=3]; 25.69/9.66 891[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];891 -> 1181[label="",style="solid", color="black", weight=3]; 25.69/9.66 892[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];892 -> 1182[label="",style="solid", color="black", weight=3]; 25.69/9.66 893 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 893[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];893 -> 1196[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 893 -> 1197[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 893 -> 1198[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 893 -> 1199[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 894[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos (Succ ww3000) :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];894 -> 1200[label="",style="solid", color="black", weight=3]; 25.69/9.66 896[label="ww40000",fontsize=16,color="green",shape="box"];897[label="ww40100",fontsize=16,color="green",shape="box"];898[label="compare",fontsize=16,color="grey",shape="box"];898 -> 1201[label="",style="dashed", color="grey", weight=3]; 25.69/9.66 899[label="ww3100",fontsize=16,color="green",shape="box"];900[label="ww41",fontsize=16,color="green",shape="box"];895[label="List.insertBy0 (Pos (Succ ww6) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ ww6) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat ww6 (Succ ww9)) (Succ ww9))))",fontsize=16,color="burlywood",shape="triangle"];6087[label="ww6/Succ ww60",fontsize=10,color="white",style="solid",shape="box"];895 -> 6087[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6087 -> 1202[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6088[label="ww6/Zero",fontsize=10,color="white",style="solid",shape="box"];895 -> 6088[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6088 -> 1203[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 901[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];901 -> 1204[label="",style="solid", color="black", weight=3]; 25.69/9.66 902[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];902 -> 1205[label="",style="solid", color="black", weight=3]; 25.69/9.66 903[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];903 -> 1206[label="",style="solid", color="black", weight=3]; 25.69/9.66 904[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];904 -> 1207[label="",style="solid", color="black", weight=3]; 25.69/9.66 905[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];905 -> 1208[label="",style="solid", color="black", weight=3]; 25.69/9.66 906[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];906 -> 1209[label="",style="solid", color="black", weight=3]; 25.69/9.66 907[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];907 -> 1210[label="",style="solid", color="black", weight=3]; 25.69/9.66 908[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];908 -> 1211[label="",style="solid", color="black", weight=3]; 25.69/9.66 909[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];909 -> 1212[label="",style="solid", color="black", weight=3]; 25.69/9.66 910[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];910 -> 1213[label="",style="solid", color="black", weight=3]; 25.69/9.66 911[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];911 -> 1214[label="",style="solid", color="black", weight=3]; 25.69/9.66 912[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];912 -> 1215[label="",style="solid", color="black", weight=3]; 25.69/9.66 913[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];913 -> 1216[label="",style="solid", color="black", weight=3]; 25.69/9.66 914[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];914 -> 1217[label="",style="solid", color="black", weight=3]; 25.69/9.66 915[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];915 -> 1218[label="",style="solid", color="black", weight=3]; 25.69/9.66 916[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];916 -> 1219[label="",style="solid", color="black", weight=3]; 25.69/9.66 917[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];917 -> 1220[label="",style="solid", color="black", weight=3]; 25.69/9.66 918[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];918 -> 1221[label="",style="solid", color="black", weight=3]; 25.69/9.66 919[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];919 -> 1222[label="",style="solid", color="black", weight=3]; 25.69/9.66 920[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];920 -> 1223[label="",style="solid", color="black", weight=3]; 25.69/9.66 921[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];921 -> 1224[label="",style="solid", color="black", weight=3]; 25.69/9.66 922[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];922 -> 1225[label="",style="solid", color="black", weight=3]; 25.69/9.66 923[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];923 -> 1226[label="",style="solid", color="black", weight=3]; 25.69/9.66 924[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];924 -> 1227[label="",style="solid", color="black", weight=3]; 25.69/9.66 925[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];925 -> 1228[label="",style="solid", color="black", weight=3]; 25.69/9.66 926[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];926 -> 1229[label="",style="solid", color="black", weight=3]; 25.69/9.66 927[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];927 -> 1230[label="",style="solid", color="black", weight=3]; 25.69/9.66 928[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];928 -> 1231[label="",style="solid", color="black", weight=3]; 25.69/9.66 929[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];929 -> 1232[label="",style="solid", color="black", weight=3]; 25.69/9.66 930[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];930 -> 1233[label="",style="solid", color="black", weight=3]; 25.69/9.66 931[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];931 -> 1234[label="",style="solid", color="black", weight=3]; 25.69/9.66 932[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];932 -> 1235[label="",style="solid", color="black", weight=3]; 25.69/9.66 933[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];933 -> 1236[label="",style="solid", color="black", weight=3]; 25.69/9.66 934[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];934 -> 1237[label="",style="solid", color="black", weight=3]; 25.69/9.66 935[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];935 -> 1238[label="",style="solid", color="black", weight=3]; 25.69/9.66 936[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];936 -> 1239[label="",style="solid", color="black", weight=3]; 25.69/9.66 937[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];937 -> 1240[label="",style="solid", color="black", weight=3]; 25.69/9.66 938[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Pos Zero :% Neg Zero) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];938 -> 1241[label="",style="solid", color="black", weight=3]; 25.69/9.66 2855[label="Neg (Succ ww45) :% Pos ww460 : Pos ww430 :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2856[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg ww460) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (primMulNat (Succ ww4300) ww460) (Succ ww2290))",fontsize=16,color="burlywood",shape="box"];6089[label="ww460/Succ ww4600",fontsize=10,color="white",style="solid",shape="box"];2856 -> 6089[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6089 -> 2880[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6090[label="ww460/Zero",fontsize=10,color="white",style="solid",shape="box"];2856 -> 6090[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6090 -> 2881[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2857[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) 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weight=3]; 25.69/9.66 983[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];983 -> 1291[label="",style="solid", color="black", weight=3]; 25.69/9.66 984[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];984 -> 1292[label="",style="solid", color="black", weight=3]; 25.69/9.66 985[label="List.insertBy0 (Neg (Succ ww40000) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];985 -> 1293[label="",style="solid", color="black", weight=3]; 25.69/9.66 986[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];986 -> 1294[label="",style="solid", color="black", weight=3]; 25.69/9.66 987[label="List.insertBy0 (Neg Zero :% Pos (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];987 -> 1295[label="",style="solid", color="black", weight=3]; 25.69/9.66 988[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];988 -> 1296[label="",style="solid", color="black", weight=3]; 25.69/9.66 989[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];989 -> 1297[label="",style="solid", color="black", weight=3]; 25.69/9.66 990[label="List.insertBy0 (Pos (Succ ww40000) :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];990 -> 1298[label="",style="solid", color="black", weight=3]; 25.69/9.66 991[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];991 -> 1299[label="",style="solid", color="black", weight=3]; 25.69/9.66 992[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];992 -> 1300[label="",style="solid", color="black", 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996[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];996 -> 1304[label="",style="solid", color="black", weight=3]; 25.69/9.66 997[label="List.insertBy0 (Pos Zero :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];997 -> 1305[label="",style="solid", color="black", weight=3]; 25.69/9.66 998[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];998 -> 1306[label="",style="solid", color="black", weight=3]; 25.69/9.66 999[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Neg 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Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1006 -> 1314[label="",style="solid", color="black", weight=3]; 25.69/9.66 1007[label="List.insertBy0 (Neg Zero :% Pos Zero) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1007 -> 1315[label="",style="solid", color="black", weight=3]; 25.69/9.66 3225[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (primMulNat (Succ ww4900) ww520))",fontsize=16,color="burlywood",shape="box"];6097[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3225 -> 6097[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6097 -> 3250[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6098[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3225 -> 6098[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6098 -> 3251[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3226[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos ww520) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (primMulNat Zero ww520))",fontsize=16,color="burlywood",shape="box"];6099[label="ww520/Succ ww5200",fontsize=10,color="white",style="solid",shape="box"];3226 -> 6099[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6099 -> 3252[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6100[label="ww520/Zero",fontsize=10,color="white",style="solid",shape="box"];3226 -> 6100[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6100 -> 3253[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 3227[label="Pos ww490 :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Neg ww520) ww53",fontsize=16,color="green",shape="box"];3227 -> 3254[label="",style="dashed", color="green", 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3235[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) (Succ ww5200))))",fontsize=16,color="black",shape="box"];3235 -> 3264[label="",style="solid", color="black", weight=3]; 25.69/9.66 3236[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) Zero)))",fontsize=16,color="black",shape="box"];3236 -> 3265[label="",style="solid", color="black", weight=3]; 25.69/9.66 3237[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat Zero (Succ ww5200))))",fontsize=16,color="black",shape="box"];3237 -> 3266[label="",style="solid", color="black", weight=3]; 25.69/9.66 3238[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];3238 -> 3267[label="",style="solid", color="black", weight=3]; 25.69/9.66 3239[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) (Succ ww5200))))",fontsize=16,color="black",shape="box"];3239 -> 3268[label="",style="solid", color="black", weight=3]; 25.69/9.66 3240[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos Zero) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (primMulNat (Succ ww4900) Zero)))",fontsize=16,color="black",shape="box"];3240 -> 3269[label="",style="solid", color="black", weight=3]; 25.69/9.66 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3244[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat (Succ ww4900) Zero)))",fontsize=16,color="black",shape="box"];3244 -> 3273[label="",style="solid", color="black", weight=3]; 25.69/9.66 3245[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat Zero (Succ ww5200))))",fontsize=16,color="black",shape="box"];3245 -> 3274[label="",style="solid", color="black", weight=3]; 25.69/9.66 3246[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (primMulNat Zero Zero)))",fontsize=16,color="black",shape="box"];3246 -> 3275[label="",style="solid", color="black", weight=3]; 25.69/9.66 1017[label="List.insertBy0 (Pos (Succ (Succ 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Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1020 -> 1333[label="",style="solid", color="black", weight=3]; 25.69/9.66 1021[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1021 -> 1334[label="",style="solid", color="black", weight=3]; 25.69/9.66 1022[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1022 -> 1335[label="",style="solid", color="black", weight=3]; 25.69/9.66 1023[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos 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Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1027 -> 1340[label="",style="solid", color="black", weight=3]; 25.69/9.66 1028[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1028 -> 1341[label="",style="solid", color="black", weight=3]; 25.69/9.66 1029[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1029 -> 1342[label="",style="solid", color="black", weight=3]; 25.69/9.66 1030[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1030 -> 1343[label="",style="solid", color="black", weight=3]; 25.69/9.66 1031[label="List.insertBy0 (Neg Zero :% Neg Zero) compare (Neg (Succ ww3000) :% Pos Zero) ww41 (Neg Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1031 -> 1344[label="",style="solid", color="black", weight=3]; 25.69/9.66 1032[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1032 -> 1345[label="",style="solid", color="black", weight=3]; 25.69/9.66 1033[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos 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ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1037 -> 1350[label="",style="solid", color="black", weight=3]; 25.69/9.66 1038[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1038 -> 1351[label="",style="solid", color="black", weight=3]; 25.69/9.66 1039[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1039 -> 1352[label="",style="solid", color="black", weight=3]; 25.69/9.66 1040[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1040 -> 1353[label="",style="solid", color="black", weight=3]; 25.69/9.66 1041[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1041 -> 1354[label="",style="solid", color="black", weight=3]; 25.69/9.66 1042[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1042 -> 1355[label="",style="solid", color="black", weight=3]; 25.69/9.66 1043[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1043 -> 1356[label="",style="solid", color="black", weight=3]; 25.69/9.66 1044[label="List.insertBy0 (Pos (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1044 -> 1357[label="",style="solid", color="black", weight=3]; 25.69/9.66 1045[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1045 -> 1358[label="",style="solid", color="black", weight=3]; 25.69/9.66 1046[label="List.insertBy0 (Pos Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Pos Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1046 -> 1359[label="",style="solid", color="black", weight=3]; 25.69/9.66 1047[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1047 -> 1360[label="",style="solid", color="black", weight=3]; 25.69/9.66 1048[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1048 -> 1361[label="",style="solid", color="black", weight=3]; 25.69/9.66 1049[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1049 -> 1362[label="",style="solid", color="black", weight=3]; 25.69/9.66 1050[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1050 -> 1363[label="",style="solid", color="black", weight=3]; 25.69/9.66 1051[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Pos Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1051 -> 1364[label="",style="solid", color="black", weight=3]; 25.69/9.66 1052[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1052 -> 1365[label="",style="solid", color="black", weight=3]; 25.69/9.66 1053[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1053 -> 1366[label="",style="solid", color="black", weight=3]; 25.69/9.66 1054[label="List.insertBy0 (Neg (Succ ww40000) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1054 -> 1367[label="",style="solid", color="black", weight=3]; 25.69/9.66 1055[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1055 -> 1368[label="",style="solid", color="black", weight=3]; 25.69/9.66 1056[label="List.insertBy0 (Neg Zero :% Neg (Succ ww40100)) compare (Neg Zero :% Neg Zero) ww41 (Neg Zero :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];1056 -> 1369[label="",style="solid", color="black", weight=3]; 25.69/9.66 1057[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1057 -> 1370[label="",style="solid", color="black", weight=3]; 25.69/9.66 1058[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1058 -> 1371[label="",style="solid", color="black", weight=3]; 25.69/9.66 1059[label="List.insertBy0 (Pos (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1059 -> 1372[label="",style="solid", color="black", weight=3]; 25.69/9.66 1060[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1060 -> 1373[label="",style="solid", color="black", weight=3]; 25.69/9.66 1061[label="List.insertBy0 (Pos Zero :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Pos Zero :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1061 -> 1374[label="",style="solid", color="black", weight=3]; 25.69/9.66 1062[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1062 -> 1375[label="",style="solid", color="black", weight=3]; 25.69/9.66 1063[label="List.insertBy0 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1379[label="",style="solid", color="black", weight=3]; 25.69/9.66 1067[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat (Succ ww400000) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1067 -> 1380[label="",style="solid", color="black", weight=3]; 25.69/9.66 1068[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1068 -> 1381[label="",style="solid", color="black", weight=3]; 25.69/9.66 1069[label="List.insertBy0 (Neg (Succ ww40000) :% Neg Zero) compare (Neg Zero :% Pos Zero) ww41 (Neg (Succ ww40000) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];1069 -> 1382[label="",style="solid", 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(Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2127 -> 2160[label="",style="solid", color="black", weight=3]; 25.69/9.66 2128[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2128 -> 2161[label="",style="solid", color="black", weight=3]; 25.69/9.66 2129 -> 2162[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2129[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700))))",fontsize=16,color="magenta"];2129 -> 2163[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2130[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2130 -> 2164[label="",style="solid", color="black", weight=3]; 25.69/9.66 2131[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2131 -> 2165[label="",style="solid", color="black", weight=3]; 25.69/9.66 2132[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2132 -> 2166[label="",style="solid", color="black", weight=3]; 25.69/9.66 2133 -> 2167[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2133[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700))))",fontsize=16,color="magenta"];2133 -> 2168[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2134[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2134 -> 2169[label="",style="solid", color="black", weight=3]; 25.69/9.66 2135[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2135 -> 2170[label="",style="solid", color="black", weight=3]; 25.69/9.66 2136[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2136 -> 2171[label="",style="solid", color="black", weight=3]; 25.69/9.66 2137 -> 2172[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2137[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700))))",fontsize=16,color="magenta"];2137 -> 2173[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2138[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2138 -> 2174[label="",style="solid", color="black", weight=3]; 25.69/9.66 2139[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2139 -> 2175[label="",style="solid", color="black", weight=3]; 25.69/9.66 2140[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2140 -> 2176[label="",style="solid", color="black", weight=3]; 25.69/9.66 1091[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6105[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1091 -> 6105[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6105 -> 1408[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6106[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1091 -> 6106[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6106 -> 1409[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1092[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1092 -> 1410[label="",style="solid", color="black", weight=3]; 25.69/9.66 1093[label="Pos (Succ ww3000) :% Pos Zero : Pos (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1094[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1095[label="Pos (Succ ww3000) :% Pos Zero : Pos Zero :% Pos Zero : 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Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1097 -> 1413[label="",style="solid", color="black", weight=3]; 25.69/9.66 1098[label="Pos (Succ ww3000) :% Neg Zero : Pos (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1184[label="ww41",fontsize=16,color="green",shape="box"];1185[label="ww3100",fontsize=16,color="green",shape="box"];1186[label="ww3000",fontsize=16,color="green",shape="box"];1187[label="Pos Zero :% Pos Zero",fontsize=16,color="green",shape="box"];1183[label="List.insertBy0 ww12 compare (Pos (Succ ww13) :% Neg (Succ ww14)) ww15 (ww12 : ww15) EQ",fontsize=16,color="black",shape="triangle"];1183 -> 1414[label="",style="solid", color="black", weight=3]; 25.69/9.66 1100[label="Pos (Succ ww3000) :% Neg Zero : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1101[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6109[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1101 -> 6109[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6109 -> 1415[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6110[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1101 -> 6110[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6110 -> 1416[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1102[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1102 -> 1417[label="",style="solid", color="black", weight=3]; 25.69/9.66 1103[label="Pos (Succ ww3000) :% Pos Zero : Neg (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1104[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1105[label="Pos (Succ ww3000) :% Pos Zero : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1106[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6111[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1106 -> 6111[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6111 -> 1418[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6112[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1106 -> 6112[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6112 -> 1419[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1107[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1107 -> 1420[label="",style="solid", color="black", weight=3]; 25.69/9.66 1108[label="Pos (Succ ww3000) :% Neg Zero : Neg (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1188[label="ww41",fontsize=16,color="green",shape="box"];1189[label="ww3100",fontsize=16,color="green",shape="box"];1190[label="ww3000",fontsize=16,color="green",shape="box"];1191[label="Neg Zero :% Pos Zero",fontsize=16,color="green",shape="box"];1110[label="Pos (Succ ww3000) :% Neg Zero : Neg Zero :% Pos Zero : 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Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1112 -> 1423[label="",style="solid", color="black", weight=3]; 25.69/9.66 1113[label="Pos Zero :% Pos Zero : Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1114[label="Pos Zero :% Pos (Succ ww3100) : Pos Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1115[label="Pos Zero :% Pos Zero : Pos Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1116[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6115[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1116 -> 6115[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6115 -> 1424[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6116[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1116 -> 6116[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6116 -> 1425[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1117[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1117 -> 1426[label="",style="solid", color="black", weight=3]; 25.69/9.66 1118[label="Pos Zero :% Neg Zero : Pos (Succ ww40000) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1119[label="Pos Zero :% Neg (Succ ww3100) : Pos Zero :% Pos (Succ ww40100) : 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1122[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1122 -> 1429[label="",style="solid", color="black", weight=3]; 25.69/9.66 1123[label="Pos Zero :% Pos Zero : Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1124[label="Pos Zero :% Pos (Succ ww3100) : Neg Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1125[label="Pos Zero :% Pos Zero : Neg Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1126[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ 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25.69/9.66 6122 -> 1434[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1132[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1132 -> 1435[label="",style="solid", color="black", weight=3]; 25.69/9.66 1133[label="Pos Zero :% Pos Zero : Pos (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1134[label="Pos Zero :% Pos (Succ ww3100) : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1135[label="Pos Zero :% Pos Zero : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1136[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) 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1142[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1142 -> 1441[label="",style="solid", color="black", weight=3]; 25.69/9.66 1143[label="Pos Zero :% Pos Zero : Neg (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1144[label="Pos Zero :% Pos (Succ ww3100) : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1145[label="Pos Zero :% Pos Zero : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1146[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6127[label="ww400000/Succ 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2536[label="",style="solid", color="black", weight=3]; 25.69/9.66 2510 -> 2537[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2510[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300))))",fontsize=16,color="magenta"];2510 -> 2538[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2511[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2511 -> 2539[label="",style="solid", color="black", weight=3]; 25.69/9.66 2512[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2512 -> 2540[label="",style="solid", color="black", weight=3]; 25.69/9.66 2513[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2513 -> 2541[label="",style="solid", color="black", weight=3]; 25.69/9.66 2514 -> 2542[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2514[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300))))",fontsize=16,color="magenta"];2514 -> 2543[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2515[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) 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2551[label="",style="solid", color="black", weight=3]; 25.69/9.66 1165[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6129[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1165 -> 6129[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6129 -> 1461[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6130[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1165 -> 6130[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6130 -> 1462[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1166[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos 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6131[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6131 -> 1464[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6132[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1170 -> 6132[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6132 -> 1465[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1171[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1171 -> 1466[label="",style="solid", color="black", weight=3]; 25.69/9.66 1172[label="Pos (Succ ww3000) :% Neg Zero : Pos (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1192[label="ww41",fontsize=16,color="green",shape="box"];1193[label="ww3100",fontsize=16,color="green",shape="box"];1194[label="ww3000",fontsize=16,color="green",shape="box"];1195[label="Pos Zero :% Neg Zero",fontsize=16,color="green",shape="box"];1174[label="Pos (Succ ww3000) :% Neg Zero : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1175[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6133[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1175 -> 6133[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6133 -> 1467[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6134[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1175 -> 6134[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6134 -> 1468[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1176[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1176 -> 1469[label="",style="solid", color="black", weight=3]; 25.69/9.66 1177[label="Pos (Succ ww3000) :% Pos Zero : Neg (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1178[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1179[label="Pos (Succ ww3000) :% Pos Zero : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1180[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6135[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1180 -> 6135[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6135 -> 1470[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6136[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1180 -> 6136[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6136 -> 1471[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1181[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1181 -> 1472[label="",style="solid", color="black", weight=3]; 25.69/9.66 1182[label="Pos (Succ ww3000) :% Neg Zero : Neg (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1196[label="ww41",fontsize=16,color="green",shape="box"];1197[label="ww3100",fontsize=16,color="green",shape="box"];1198[label="ww3000",fontsize=16,color="green",shape="box"];1199[label="Neg Zero :% Neg Zero",fontsize=16,color="green",shape="box"];1200[label="Pos (Succ ww3000) :% Neg Zero : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1201[label="compare ww16",fontsize=16,color="grey",shape="box"];1201 -> 1473[label="",style="dashed", color="grey", weight=3]; 25.69/9.66 1202[label="List.insertBy0 (Pos (Succ (Succ ww60)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ ww60)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat (Succ ww60) (Succ ww9)) (Succ ww9))))",fontsize=16,color="black",shape="box"];1202 -> 1474[label="",style="solid", color="black", weight=3]; 25.69/9.66 1203[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ Zero) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat Zero (Succ ww9)) (Succ ww9))))",fontsize=16,color="black",shape="box"];1203 -> 1475[label="",style="solid", color="black", weight=3]; 25.69/9.66 1204[label="Pos Zero :% Pos Zero : Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1205[label="Pos Zero :% Pos (Succ ww3100) : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1206[label="Pos Zero :% Pos Zero : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1207[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat 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ww40100) : ww41",fontsize=16,color="green",shape="box"];1210[label="Pos Zero :% Neg (Succ ww3100) : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1211[label="Pos Zero :% Neg Zero : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1212[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6139[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1212 -> 6139[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6139 -> 1479[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6140[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1212 -> 6140[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6140 -> 1480[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1213[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1213 -> 1481[label="",style="solid", color="black", weight=3]; 25.69/9.66 1214[label="Pos Zero :% Pos Zero : Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1215[label="Pos Zero :% Pos (Succ ww3100) : Neg Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1216[label="Pos Zero :% Pos Zero : Neg Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1217[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) 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-> 6144[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6144 -> 1486[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1223[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1223 -> 1487[label="",style="solid", color="black", weight=3]; 25.69/9.66 1224[label="Pos Zero :% Pos Zero : Pos (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1225[label="Pos Zero :% Pos (Succ ww3100) : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1226[label="Pos Zero :% Pos Zero : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1227[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat 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ww41",fontsize=16,color="green",shape="box"];1230[label="Pos Zero :% Neg (Succ ww3100) : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1231[label="Pos Zero :% Neg Zero : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1232[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6147[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1232 -> 6147[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6147 -> 1491[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6148[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1232 -> 6148[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6148 -> 1492[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1233[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1233 -> 1493[label="",style="solid", color="black", weight=3]; 25.69/9.66 1234[label="Pos Zero :% Pos Zero : Neg (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1235[label="Pos Zero :% Pos (Succ ww3100) : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1236[label="Pos Zero :% Pos Zero : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1237[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ 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1267[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1267 -> 1521[label="",style="solid", color="black", weight=3]; 25.69/9.66 1268[label="Neg (Succ ww3000) :% Pos Zero : Neg (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1269[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1270[label="Neg (Succ ww3000) :% Pos Zero : Neg Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1271[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ 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color="burlywood", weight=9]; 25.69/9.66 6164 -> 1532[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1287[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1287 -> 1533[label="",style="solid", color="black", weight=3]; 25.69/9.66 1288[label="Neg Zero :% Pos Zero : Neg (Succ ww40000) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1289[label="Neg Zero :% Pos (Succ ww3100) : Neg Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1290[label="Neg Zero :% Pos Zero : Neg Zero :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1291[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Pos (Succ ww40100) : ww41) 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-> 6168[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6168 -> 1538[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1297[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1297 -> 1539[label="",style="solid", color="black", weight=3]; 25.69/9.66 1298[label="Neg Zero :% Pos Zero : Pos (Succ ww40000) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1299[label="Neg Zero :% Pos (Succ ww3100) : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1300[label="Neg Zero :% Pos Zero : Pos Zero :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];1301[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat 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color="burlywood", weight=9]; 25.69/9.66 6182 -> 1577[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1346[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1346 -> 1578[label="",style="solid", color="black", weight=3]; 25.69/9.66 1347[label="Neg (Succ ww3000) :% Neg Zero : Neg (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1348[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1349[label="Neg (Succ ww3000) :% Neg Zero : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1350[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos 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color="magenta", weight=3]; 25.69/9.66 1351 -> 1583[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 1351 -> 1584[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 1351 -> 1585[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 1352[label="Neg Zero :% Pos Zero : Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1353[label="Neg Zero :% Pos (Succ ww3100) : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1354[label="Neg Zero :% Pos Zero : Pos Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1355[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6185[label="ww400000/Succ ww4000000",fontsize=10,color="white",style="solid",shape="box"];1355 -> 6185[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6185 -> 1586[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6186[label="ww400000/Zero",fontsize=10,color="white",style="solid",shape="box"];1355 -> 6186[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6186 -> 1587[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1356[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1356 -> 1588[label="",style="solid", color="black", weight=3]; 25.69/9.66 1357[label="Neg Zero :% Neg Zero : Pos (Succ ww40000) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1358[label="Neg Zero :% Neg (Succ ww3100) : Pos Zero :% Neg (Succ ww40100) : 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1361[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1361 -> 1591[label="",style="solid", color="black", weight=3]; 25.69/9.66 1362[label="Neg Zero :% Pos Zero : Neg (Succ ww40000) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1363[label="Neg Zero :% Pos (Succ ww3100) : Neg Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1364[label="Neg Zero :% Pos Zero : Neg Zero :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];1365[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ 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25.69/9.66 6192 -> 1596[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1371[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1371 -> 1597[label="",style="solid", color="black", weight=3]; 25.69/9.66 1372[label="Neg Zero :% Pos Zero : Pos (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1373[label="Neg Zero :% Pos (Succ ww3100) : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1374[label="Neg Zero :% Pos Zero : Pos Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1375[label="List.insertBy0 (Pos (Succ (Succ ww400000)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) 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1381[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat Zero (Succ ww3100))))",fontsize=16,color="black",shape="box"];1381 -> 1603[label="",style="solid", color="black", weight=3]; 25.69/9.66 1382[label="Neg Zero :% Pos Zero : Neg (Succ ww40000) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1383[label="Neg Zero :% Pos (Succ ww3100) : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1384[label="Neg Zero :% Pos Zero : Neg Zero :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];1385[label="List.insertBy0 (Neg (Succ (Succ ww400000)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ ww400000)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww400000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="burlywood",shape="box"];6197[label="ww400000/Succ 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2186[label="",style="solid", color="black", weight=3]; 25.69/9.66 2158 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2158[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2158 -> 2187[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2158 -> 2188[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2157[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos ww84))",fontsize=16,color="burlywood",shape="triangle"];6199[label="ww84/Succ ww840",fontsize=10,color="white",style="solid",shape="box"];2157 -> 6199[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6199 -> 2189[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6200[label="ww84/Zero",fontsize=10,color="white",style="solid",shape="box"];2157 -> 6200[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6200 -> 2190[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2159[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2159 -> 2191[label="",style="solid", color="black", weight=3]; 25.69/9.66 2160[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2160 -> 2192[label="",style="solid", color="black", weight=3]; 25.69/9.66 2161[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2161 -> 2193[label="",style="solid", color="black", weight=3]; 25.69/9.66 2163 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2163[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2163 -> 2194[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2163 -> 2195[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2162[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg ww86))",fontsize=16,color="burlywood",shape="triangle"];6201[label="ww86/Succ ww860",fontsize=10,color="white",style="solid",shape="box"];2162 -> 6201[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6201 -> 2196[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6202[label="ww86/Zero",fontsize=10,color="white",style="solid",shape="box"];2162 -> 6202[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6202 -> 2197[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2164[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2164 -> 2198[label="",style="solid", color="black", weight=3]; 25.69/9.66 2165 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2165[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];2165 -> 2199[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2165 -> 2200[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2165 -> 2201[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2165 -> 2202[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2166[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2166 -> 2203[label="",style="solid", color="black", weight=3]; 25.69/9.66 2168 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2168[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2168 -> 2204[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2168 -> 2205[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2167[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg ww88))",fontsize=16,color="burlywood",shape="triangle"];6203[label="ww88/Succ ww880",fontsize=10,color="white",style="solid",shape="box"];2167 -> 6203[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6203 -> 2206[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6204[label="ww88/Zero",fontsize=10,color="white",style="solid",shape="box"];2167 -> 6204[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6204 -> 2207[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2169[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2169 -> 2208[label="",style="solid", color="black", weight=3]; 25.69/9.66 2170[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2170 -> 2209[label="",style="solid", color="black", weight=3]; 25.69/9.66 2171[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2171 -> 2210[label="",style="solid", color="black", weight=3]; 25.69/9.66 2173 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2173[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2173 -> 2211[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2173 -> 2212[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2172[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos ww90))",fontsize=16,color="burlywood",shape="triangle"];6205[label="ww90/Succ ww900",fontsize=10,color="white",style="solid",shape="box"];2172 -> 6205[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6205 -> 2213[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6206[label="ww90/Zero",fontsize=10,color="white",style="solid",shape="box"];2172 -> 6206[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6206 -> 2214[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2174[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2174 -> 2215[label="",style="solid", color="black", weight=3]; 25.69/9.66 2175 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2175[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];2175 -> 2216[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2175 -> 2217[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2175 -> 2218[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2175 -> 2219[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2176[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2176 -> 2220[label="",style="solid", color="black", weight=3]; 25.69/9.66 1408[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1408 -> 1634[label="",style="solid", color="black", weight=3]; 25.69/9.66 1409[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1409 -> 1635[label="",style="solid", color="black", weight=3]; 25.69/9.66 1410[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 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weight=3]; 25.69/9.66 1413[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1413 -> 1639[label="",style="solid", color="black", weight=3]; 25.69/9.66 1414[label="Pos (Succ ww13) :% Neg (Succ ww14) : ww12 : ww15",fontsize=16,color="green",shape="box"];1415[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1415 -> 1640[label="",style="solid", color="black", weight=3]; 25.69/9.66 1416[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) 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1419[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1419 -> 1644[label="",style="solid", color="black", weight=3]; 25.69/9.66 1420[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1420 -> 1645[label="",style="solid", color="black", weight=3]; 25.69/9.66 1421[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ 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color="black", weight=3]; 25.69/9.66 1427[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1427 -> 1652[label="",style="solid", color="black", weight=3]; 25.69/9.66 1428[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1428 -> 1653[label="",style="solid", color="black", weight=3]; 25.69/9.66 1429[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg 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1656[label="",style="solid", color="black", weight=3]; 25.69/9.66 1432[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1432 -> 1657[label="",style="solid", color="black", weight=3]; 25.69/9.66 1433[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1433 -> 1658[label="",style="solid", color="black", weight=3]; 25.69/9.66 1434[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat 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(Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1437 -> 1662[label="",style="solid", color="black", weight=3]; 25.69/9.66 1438[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1438 -> 1663[label="",style="solid", color="black", weight=3]; 25.69/9.66 1439[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1439 -> 1664[label="",style="solid", color="black", weight=3]; 25.69/9.66 1440[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1440 -> 1665[label="",style="solid", color="black", weight=3]; 25.69/9.66 1441[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1441 -> 1666[label="",style="solid", color="black", weight=3]; 25.69/9.66 1442[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1442 -> 1667[label="",style="solid", color="black", weight=3]; 25.69/9.66 1443[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1443 -> 1668[label="",style="solid", color="black", weight=3]; 25.69/9.66 1444[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1444 -> 1669[label="",style="solid", color="black", weight=3]; 25.69/9.66 2524 -> 2552[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2524[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)) (Succ ww1440))",fontsize=16,color="magenta"];2524 -> 2553[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2525[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2525 -> 2554[label="",style="solid", color="black", weight=3]; 25.69/9.66 2526[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2526 -> 2555[label="",style="solid", color="black", weight=3]; 25.69/9.66 2527[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2527 -> 2556[label="",style="solid", color="black", weight=3]; 25.69/9.66 2528 -> 2557[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2528[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)) (Succ ww1440))",fontsize=16,color="magenta"];2528 -> 2558[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2529[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2529 -> 2559[label="",style="solid", color="black", weight=3]; 25.69/9.66 2530[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2530 -> 2560[label="",style="solid", color="black", weight=3]; 25.69/9.66 2531[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2531 -> 2561[label="",style="solid", color="black", weight=3]; 25.69/9.66 2533 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2533[label="primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)",fontsize=16,color="magenta"];2533 -> 2562[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2533 -> 2563[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2532[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos ww175))",fontsize=16,color="burlywood",shape="triangle"];6207[label="ww175/Succ ww1750",fontsize=10,color="white",style="solid",shape="box"];2532 -> 6207[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6207 -> 2564[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6208[label="ww175/Zero",fontsize=10,color="white",style="solid",shape="box"];2532 -> 6208[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6208 -> 2565[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2534[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2534 -> 2566[label="",style="solid", color="black", weight=3]; 25.69/9.66 2535[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2535 -> 2567[label="",style="solid", color="black", weight=3]; 25.69/9.66 2536[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2536 -> 2568[label="",style="solid", color="black", weight=3]; 25.69/9.66 2538 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2538[label="primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)",fontsize=16,color="magenta"];2538 -> 2569[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2538 -> 2570[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2537[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg ww177))",fontsize=16,color="burlywood",shape="triangle"];6209[label="ww177/Succ ww1770",fontsize=10,color="white",style="solid",shape="box"];2537 -> 6209[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6209 -> 2571[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6210[label="ww177/Zero",fontsize=10,color="white",style="solid",shape="box"];2537 -> 6210[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6210 -> 2572[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2539[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2539 -> 2573[label="",style="solid", color="black", weight=3]; 25.69/9.66 2540 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2540[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];2540 -> 2574[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2540 -> 2575[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2540 -> 2576[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2540 -> 2577[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2541[label="List.insertBy0 (Pos Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Pos Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2541 -> 2578[label="",style="solid", color="black", weight=3]; 25.69/9.66 2543 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2543[label="primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)",fontsize=16,color="magenta"];2543 -> 2579[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2543 -> 2580[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2542[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg ww179))",fontsize=16,color="burlywood",shape="triangle"];6211[label="ww179/Succ ww1790",fontsize=10,color="white",style="solid",shape="box"];2542 -> 6211[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6211 -> 2581[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6212[label="ww179/Zero",fontsize=10,color="white",style="solid",shape="box"];2542 -> 6212[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6212 -> 2582[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2544[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2544 -> 2583[label="",style="solid", color="black", weight=3]; 25.69/9.66 2545[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2545 -> 2584[label="",style="solid", color="black", weight=3]; 25.69/9.66 2546[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2546 -> 2585[label="",style="solid", color="black", weight=3]; 25.69/9.66 2548 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2548[label="primPlusNat (primMulNat ww3000 (Succ ww3300)) (Succ ww3300)",fontsize=16,color="magenta"];2548 -> 2586[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2548 -> 2587[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2547[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos ww181))",fontsize=16,color="burlywood",shape="triangle"];6213[label="ww181/Succ ww1810",fontsize=10,color="white",style="solid",shape="box"];2547 -> 6213[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6213 -> 2588[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6214[label="ww181/Zero",fontsize=10,color="white",style="solid",shape="box"];2547 -> 6214[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6214 -> 2589[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 2549[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2549 -> 2590[label="",style="solid", color="black", weight=3]; 25.69/9.66 2550 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2550[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];2550 -> 2591[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2550 -> 2592[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2550 -> 2593[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2550 -> 2594[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2551[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg Zero) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2551 -> 2595[label="",style="solid", color="black", weight=3]; 25.69/9.66 1461[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1461 -> 1711[label="",style="solid", color="black", weight=3]; 25.69/9.66 1462[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1462 -> 1712[label="",style="solid", color="black", weight=3]; 25.69/9.66 1463[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1463 -> 1713[label="",style="solid", color="black", weight=3]; 25.69/9.66 1464[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1464 -> 1714[label="",style="solid", color="black", weight=3]; 25.69/9.66 1465[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1465 -> 1715[label="",style="solid", color="black", weight=3]; 25.69/9.66 1466[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1466 -> 1716[label="",style="solid", color="black", weight=3]; 25.69/9.66 1467[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1467 -> 1717[label="",style="solid", color="black", weight=3]; 25.69/9.66 1468[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1468 -> 1718[label="",style="solid", color="black", weight=3]; 25.69/9.66 1469[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1469 -> 1719[label="",style="solid", color="black", weight=3]; 25.69/9.66 1470[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1470 -> 1720[label="",style="solid", color="black", weight=3]; 25.69/9.66 1471[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1471 -> 1721[label="",style="solid", color="black", weight=3]; 25.69/9.66 1472[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1472 -> 1722[label="",style="solid", color="black", weight=3]; 25.69/9.66 1473[label="compare ww16 ww17",fontsize=16,color="burlywood",shape="triangle"];6215[label="ww16/ww160 :% ww161",fontsize=10,color="white",style="solid",shape="box"];1473 -> 6215[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6215 -> 1723[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1474[label="List.insertBy0 (Pos (Succ (Succ ww60)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ ww60)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat ww60 (Succ ww9)) (Succ ww9)) (Succ ww9))))",fontsize=16,color="burlywood",shape="box"];6216[label="ww60/Succ ww600",fontsize=10,color="white",style="solid",shape="box"];1474 -> 6216[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6216 -> 1724[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 6217[label="ww60/Zero",fontsize=10,color="white",style="solid",shape="box"];1474 -> 6217[label="",style="solid", color="burlywood", weight=9]; 25.69/9.66 6217 -> 1725[label="",style="solid", color="burlywood", weight=3]; 25.69/9.66 1475[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ Zero) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat Zero (Succ ww9))))",fontsize=16,color="black",shape="box"];1475 -> 1726[label="",style="solid", color="black", weight=3]; 25.69/9.66 1476[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1476 -> 1727[label="",style="solid", color="black", weight=3]; 25.69/9.66 1477[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1477 -> 1728[label="",style="solid", color="black", weight=3]; 25.69/9.66 1478[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1478 -> 1729[label="",style="solid", color="black", weight=3]; 25.69/9.66 1479[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1479 -> 1730[label="",style="solid", color="black", weight=3]; 25.69/9.66 1480[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1480 -> 1731[label="",style="solid", color="black", weight=3]; 25.69/9.66 1481[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1481 -> 1732[label="",style="solid", color="black", weight=3]; 25.69/9.66 1482[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt 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(Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1485 -> 1736[label="",style="solid", color="black", weight=3]; 25.69/9.66 1486[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1486 -> 1737[label="",style="solid", color="black", weight=3]; 25.69/9.66 1487[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1487 -> 1738[label="",style="solid", color="black", weight=3]; 25.69/9.66 1488[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1488 -> 1739[label="",style="solid", color="black", weight=3]; 25.69/9.66 1489[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1489 -> 1740[label="",style="solid", color="black", weight=3]; 25.69/9.66 1490[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1490 -> 1741[label="",style="solid", color="black", weight=3]; 25.69/9.66 1491[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1491 -> 1742[label="",style="solid", color="black", weight=3]; 25.69/9.66 1492[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1492 -> 1743[label="",style="solid", color="black", weight=3]; 25.69/9.66 1493[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1493 -> 1744[label="",style="solid", color="black", weight=3]; 25.69/9.66 1494[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1494 -> 1745[label="",style="solid", color="black", weight=3]; 25.69/9.66 1495[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1495 -> 1746[label="",style="solid", color="black", weight=3]; 25.69/9.66 1496[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1496 -> 1747[label="",style="solid", color="black", weight=3]; 25.69/9.66 2906 -> 2934[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2906[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)) (Succ ww2290))",fontsize=16,color="magenta"];2906 -> 2935[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2907[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2907 -> 2936[label="",style="solid", color="black", weight=3]; 25.69/9.66 2908[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2908 -> 2937[label="",style="solid", color="black", weight=3]; 25.69/9.66 2909[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2909 -> 2938[label="",style="solid", color="black", weight=3]; 25.69/9.66 2910 -> 2939[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2910[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)) (Succ ww2290))",fontsize=16,color="magenta"];2910 -> 2940[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2911[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2911 -> 2941[label="",style="solid", color="black", weight=3]; 25.69/9.66 2912[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2912 -> 2942[label="",style="solid", color="black", weight=3]; 25.69/9.66 2913[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2913 -> 2943[label="",style="solid", color="black", weight=3]; 25.69/9.66 2915 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.66 2915[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2915 -> 2944[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2915 -> 2945[label="",style="dashed", color="magenta", weight=3]; 25.69/9.66 2914[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos ww258))",fontsize=16,color="burlywood",shape="triangle"];6218[label="ww258/Succ ww2580",fontsize=10,color="white",style="solid",shape="box"];2914 -> 6218[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6218 -> 2946[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6219[label="ww258/Zero",fontsize=10,color="white",style="solid",shape="box"];2914 -> 6219[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6219 -> 2947[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2916[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2916 -> 2948[label="",style="solid", color="black", weight=3]; 25.69/9.67 2917[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2917 -> 2949[label="",style="solid", color="black", weight=3]; 25.69/9.67 2918[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2918 -> 2950[label="",style="solid", color="black", weight=3]; 25.69/9.67 2920 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2920[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2920 -> 2951[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2920 -> 2952[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2919[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg ww260))",fontsize=16,color="burlywood",shape="triangle"];6220[label="ww260/Succ ww2600",fontsize=10,color="white",style="solid",shape="box"];2919 -> 6220[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6220 -> 2953[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6221[label="ww260/Zero",fontsize=10,color="white",style="solid",shape="box"];2919 -> 6221[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6221 -> 2954[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2921[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2921 -> 2955[label="",style="solid", color="black", weight=3]; 25.69/9.67 2922[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2922 -> 2956[label="",style="solid", color="black", weight=3]; 25.69/9.67 2923[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2923 -> 2957[label="",style="solid", color="black", weight=3]; 25.69/9.67 2925 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2925[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2925 -> 2958[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2925 -> 2959[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2924[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg ww262))",fontsize=16,color="burlywood",shape="triangle"];6222[label="ww262/Succ ww2620",fontsize=10,color="white",style="solid",shape="box"];2924 -> 6222[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6222 -> 2960[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6223[label="ww262/Zero",fontsize=10,color="white",style="solid",shape="box"];2924 -> 6223[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6223 -> 2961[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2926[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2926 -> 2962[label="",style="solid", color="black", weight=3]; 25.69/9.67 2927[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2927 -> 2963[label="",style="solid", color="black", weight=3]; 25.69/9.67 2928[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2928 -> 2964[label="",style="solid", color="black", weight=3]; 25.69/9.67 2930 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2930[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2930 -> 2965[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2930 -> 2966[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2929[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos ww264))",fontsize=16,color="burlywood",shape="triangle"];6224[label="ww264/Succ ww2640",fontsize=10,color="white",style="solid",shape="box"];2929 -> 6224[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6224 -> 2967[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6225[label="ww264/Zero",fontsize=10,color="white",style="solid",shape="box"];2929 -> 6225[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6225 -> 2968[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2931[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2931 -> 2969[label="",style="solid", color="black", weight=3]; 25.69/9.67 2932[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2932 -> 2970[label="",style="solid", color="black", weight=3]; 25.69/9.67 2933[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2933 -> 2971[label="",style="solid", color="black", weight=3]; 25.69/9.67 1513[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1513 -> 1774[label="",style="solid", color="black", weight=3]; 25.69/9.67 1514[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% 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1795[label="",style="solid", color="black", weight=3]; 25.69/9.67 1535[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1535 -> 1796[label="",style="solid", color="black", weight=3]; 25.69/9.67 1536[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1536 -> 1797[label="",style="solid", color="black", weight=3]; 25.69/9.67 1537[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos 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25.69/9.67 1543[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1543 -> 1804[label="",style="solid", color="black", weight=3]; 25.69/9.67 1544[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1544 -> 1805[label="",style="solid", color="black", weight=3]; 25.69/9.67 1545[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ 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ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (primPlusNat (primMulNat ww4900 (Succ ww5200)) (Succ ww5200)))",fontsize=16,color="magenta"];3286 -> 3316[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3287[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) Zero)",fontsize=16,color="black",shape="box"];3287 -> 3317[label="",style="solid", color="black", weight=3]; 25.69/9.67 3288[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) Zero)",fontsize=16,color="black",shape="box"];3288 -> 3318[label="",style="solid", color="black", weight=3]; 25.69/9.67 3289[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) (primCmpNat (Succ 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6227[label="ww349/Zero",fontsize=10,color="white",style="solid",shape="box"];3290 -> 6227[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6227 -> 3323[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3292[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos Zero) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3292 -> 3324[label="",style="solid", color="black", weight=3]; 25.69/9.67 3293[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3293 -> 3325[label="",style="solid", color="black", weight=3]; 25.69/9.67 3294[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos Zero) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3294 -> 3326[label="",style="solid", color="black", weight=3]; 25.69/9.67 3296 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3296[label="primPlusNat (primMulNat ww4900 (Succ ww5200)) (Succ ww5200)",fontsize=16,color="magenta"];3296 -> 3327[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3296 -> 3328[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3295[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg ww351))",fontsize=16,color="burlywood",shape="triangle"];6228[label="ww351/Succ ww3510",fontsize=10,color="white",style="solid",shape="box"];3295 -> 6228[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6228 -> 3329[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6229[label="ww351/Zero",fontsize=10,color="white",style="solid",shape="box"];3295 -> 6229[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6229 -> 3330[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3297[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3297 -> 3331[label="",style="solid", color="black", weight=3]; 25.69/9.67 3298[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3298 -> 3332[label="",style="solid", color="black", weight=3]; 25.69/9.67 3299[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3299 -> 3333[label="",style="solid", color="black", weight=3]; 25.69/9.67 3301 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3301[label="primPlusNat (primMulNat ww4900 (Succ ww5200)) (Succ ww5200)",fontsize=16,color="magenta"];3301 -> 3334[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3301 -> 3335[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3300[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg ww353))",fontsize=16,color="burlywood",shape="triangle"];6230[label="ww353/Succ ww3530",fontsize=10,color="white",style="solid",shape="box"];3300 -> 6230[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6230 -> 3336[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6231[label="ww353/Zero",fontsize=10,color="white",style="solid",shape="box"];3300 -> 6231[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6231 -> 3337[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3302[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ 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color="magenta", weight=3]; 25.69/9.67 3305[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos ww355))",fontsize=16,color="burlywood",shape="triangle"];6232[label="ww355/Succ ww3550",fontsize=10,color="white",style="solid",shape="box"];3305 -> 6232[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6232 -> 3343[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6233[label="ww355/Zero",fontsize=10,color="white",style="solid",shape="box"];3305 -> 6233[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6233 -> 3344[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3307[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3307 -> 3345[label="",style="solid", 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1861[label="",style="solid", color="black", weight=3]; 25.69/9.67 1595[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1595 -> 1862[label="",style="solid", color="black", weight=3]; 25.69/9.67 1596[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1596 -> 1863[label="",style="solid", color="black", weight=3]; 25.69/9.67 1597[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg 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1600[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1600 -> 1867[label="",style="solid", color="black", weight=3]; 25.69/9.67 1601[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1601 -> 1868[label="",style="solid", color="black", weight=3]; 25.69/9.67 1602[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1602 -> 1869[label="",style="solid", color="black", weight=3]; 25.69/9.67 1603[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];1603 -> 1870[label="",style="solid", color="black", weight=3]; 25.69/9.67 1604[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat (Succ ww4000000) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1604 -> 1871[label="",style="solid", color="black", weight=3]; 25.69/9.67 1605[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primMulNat Zero (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="black",shape="box"];1605 -> 1872[label="",style="solid", color="black", weight=3]; 25.69/9.67 1606[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3100)))",fontsize=16,color="black",shape="box"];1606 -> 1873[label="",style="solid", color="black", weight=3]; 25.69/9.67 2178 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2178[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2178 -> 2221[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2178 -> 2222[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2177[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) ww92)",fontsize=16,color="burlywood",shape="triangle"];6234[label="ww92/Succ ww920",fontsize=10,color="white",style="solid",shape="box"];2177 -> 6234[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6234 -> 2223[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6235[label="ww92/Zero",fontsize=10,color="white",style="solid",shape="box"];2177 -> 6235[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6235 -> 2224[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2179[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2179 -> 2225[label="",style="solid", color="black", weight=3]; 25.69/9.67 2180[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2180 -> 2226[label="",style="solid", color="black", weight=3]; 25.69/9.67 2181[label="List.insertBy0 (Pos Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos Zero) ww28 (Pos Zero :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2181 -> 2227[label="",style="solid", color="black", weight=3]; 25.69/9.67 2183 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2183[label="primPlusNat (primMulNat ww2400 (Succ ww2700)) (Succ ww2700)",fontsize=16,color="magenta"];2183 -> 2228[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2183 -> 2229[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2182[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) ww94)",fontsize=16,color="burlywood",shape="triangle"];6236[label="ww94/Succ ww940",fontsize=10,color="white",style="solid",shape="box"];2182 -> 6236[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6236 -> 2230[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6237[label="ww94/Zero",fontsize=10,color="white",style="solid",shape="box"];2182 -> 6237[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6237 -> 2231[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2184[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2184 -> 2235[label="",style="solid", color="black", weight=3]; 25.69/9.67 2185[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2185 -> 2236[label="",style="solid", color="black", weight=3]; 25.69/9.67 2186[label="List.insertBy0 (Neg Zero :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg Zero) ww28 (Neg Zero :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="box"];2186 -> 2237[label="",style="solid", color="black", weight=3]; 25.69/9.67 2187 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2187[label="primMulNat ww2400 (Succ ww2700)",fontsize=16,color="magenta"];2187 -> 2238[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2187 -> 2239[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2188[label="Succ ww2700",fontsize=16,color="green",shape="box"];2189[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos (Succ ww840)))",fontsize=16,color="black",shape="box"];2189 -> 2240[label="",style="solid", color="black", weight=3]; 25.69/9.67 2190[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2190 -> 2241[label="",style="solid", color="black", weight=3]; 25.69/9.67 2191[label="Pos (Succ ww26) :% Pos Zero : Pos (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];2192[label="Pos (Succ ww26) :% Pos (Succ ww2700) : Pos Zero :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];2193[label="Pos (Succ ww26) :% Pos Zero : Pos Zero :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];2194 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2194[label="primMulNat ww2400 (Succ ww2700)",fontsize=16,color="magenta"];2194 -> 2242[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2194 -> 2243[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2195[label="Succ ww2700",fontsize=16,color="green",shape="box"];2196[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg (Succ ww860)))",fontsize=16,color="black",shape="box"];2196 -> 2244[label="",style="solid", color="black", weight=3]; 25.69/9.67 2197[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2197 -> 2245[label="",style="solid", color="black", weight=3]; 25.69/9.67 2198[label="Pos (Succ ww26) :% Neg Zero : Pos (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];2199[label="ww28",fontsize=16,color="green",shape="box"];2200[label="ww2700",fontsize=16,color="green",shape="box"];2201[label="ww26",fontsize=16,color="green",shape="box"];2202[label="Pos Zero 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ww28",fontsize=16,color="green",shape="box"];1634 -> 2022[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1634[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1634 -> 2023[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1635 -> 2030[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1635[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1635 -> 2031[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1636[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1636 -> 2039[label="",style="solid", color="black", weight=3]; 25.69/9.67 1637 -> 2040[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1637[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1637 -> 2041[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1638 -> 2053[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1638[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) 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color="magenta", weight=3]; 25.69/9.67 1641 -> 2087[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1641[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1641 -> 2088[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1642[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];1642 -> 2112[label="",style="solid", color="black", weight=3]; 25.69/9.67 1643 -> 2113[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1643[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1643 -> 2114[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1644 -> 2143[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1644[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1644 -> 2144[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1645[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1645 -> 2232[label="",style="solid", color="black", weight=3]; 25.69/9.67 1646 -> 2233[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1646[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1646 -> 2234[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1647 -> 2254[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1647[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1647 -> 2255[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1648[label="List.insertBy0 (Pos 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2263[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1653 -> 2264[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1653[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1653 -> 2265[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1654[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];1654 -> 2266[label="",style="solid", color="black", weight=3]; 25.69/9.67 1655 -> 2267[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1655[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg 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-> 2271[label="",style="solid", color="black", weight=3]; 25.69/9.67 1658 -> 2272[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1658[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1658 -> 2273[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1659 -> 2274[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1659[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1659 -> 2275[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1660[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1660 -> 2276[label="",style="solid", color="black", weight=3]; 25.69/9.67 1661 -> 2277[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1661[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1661 -> 2278[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1662 -> 2279[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1662[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) 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2284[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1665[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1665 -> 2285[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1666[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];1666 -> 2286[label="",style="solid", color="black", weight=3]; 25.69/9.67 1667 -> 2287[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1667[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat 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ww3000 (Succ ww3300)) (Succ ww3300)",fontsize=16,color="magenta"];2553 -> 2596[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2553 -> 2597[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2552[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat ww183 (Succ ww1440))",fontsize=16,color="burlywood",shape="triangle"];6238[label="ww183/Succ ww1830",fontsize=10,color="white",style="solid",shape="box"];2552 -> 6238[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6238 -> 2598[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6239[label="ww183/Zero",fontsize=10,color="white",style="solid",shape="box"];2552 -> 6239[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6239 -> 2599[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2554[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ 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2604[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2557[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat ww185 (Succ ww1440))",fontsize=16,color="burlywood",shape="triangle"];6240[label="ww185/Succ ww1850",fontsize=10,color="white",style="solid",shape="box"];2557 -> 6240[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6240 -> 2605[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6241[label="ww185/Zero",fontsize=10,color="white",style="solid",shape="box"];2557 -> 6241[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6241 -> 2606[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2559[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="black",shape="box"];2559 -> 2614[label="",style="solid", color="black", weight=3]; 25.69/9.67 2560[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="black",shape="box"];2560 -> 2615[label="",style="solid", color="black", weight=3]; 25.69/9.67 2561[label="List.insertBy0 (Neg Zero :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos Zero) ww34 (Neg Zero :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="black",shape="box"];2561 -> 2616[label="",style="solid", color="black", weight=3]; 25.69/9.67 2562 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2562[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2562 -> 2617[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2562 -> 2618[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2563[label="Succ ww3300",fontsize=16,color="green",shape="box"];2564[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (Succ ww1750)))",fontsize=16,color="black",shape="box"];2564 -> 2619[label="",style="solid", color="black", weight=3]; 25.69/9.67 2565[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2565 -> 2620[label="",style="solid", color="black", weight=3]; 25.69/9.67 2566[label="Pos (Succ ww32) :% Pos Zero : Pos (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2567[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Pos Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2568[label="Pos (Succ ww32) :% Pos Zero : Pos Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2569 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2569[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2569 -> 2621[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2569 -> 2622[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2570[label="Succ ww3300",fontsize=16,color="green",shape="box"];2571[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (Succ ww1770)))",fontsize=16,color="black",shape="box"];2571 -> 2623[label="",style="solid", color="black", weight=3]; 25.69/9.67 2572[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2572 -> 2624[label="",style="solid", color="black", weight=3]; 25.69/9.67 2573[label="Pos (Succ ww32) :% Neg Zero : Pos (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2574[label="ww34",fontsize=16,color="green",shape="box"];2575[label="ww3300",fontsize=16,color="green",shape="box"];2576[label="ww32",fontsize=16,color="green",shape="box"];2577[label="Pos Zero :% Neg (Succ ww31)",fontsize=16,color="green",shape="box"];2578[label="Pos (Succ ww32) :% Neg Zero : Pos Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2579 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2579[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2579 -> 2625[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2579 -> 2626[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2580[label="Succ ww3300",fontsize=16,color="green",shape="box"];2581[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg (Succ ww1790)))",fontsize=16,color="black",shape="box"];2581 -> 2627[label="",style="solid", color="black", weight=3]; 25.69/9.67 2582[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2582 -> 2628[label="",style="solid", color="black", weight=3]; 25.69/9.67 2583[label="Pos (Succ ww32) :% Pos Zero : Neg (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2584[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Neg Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2585[label="Pos (Succ ww32) :% Pos Zero : Neg Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2586 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2586[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2586 -> 2629[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2586 -> 2630[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2587[label="Succ ww3300",fontsize=16,color="green",shape="box"];2588[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos (Succ ww1810)))",fontsize=16,color="black",shape="box"];2588 -> 2631[label="",style="solid", color="black", weight=3]; 25.69/9.67 2589[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2589 -> 2632[label="",style="solid", color="black", weight=3]; 25.69/9.67 2590[label="Pos (Succ ww32) :% Neg Zero : Neg (Succ ww3000) :% Neg (Succ ww31) : 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25.69/9.67 1712[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1712 -> 2430[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1713[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];1713 -> 2435[label="",style="solid", color="black", weight=3]; 25.69/9.67 1714 -> 2436[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1714[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) 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1736[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1736 -> 2647[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1737 -> 2648[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1737[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1737 -> 2649[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1738[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];1738 -> 2650[label="",style="solid", color="black", weight=3]; 25.69/9.67 1739 -> 2651[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1739[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1739 -> 2652[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1740 -> 2653[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1740[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1740 -> 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weight=3]; 25.69/9.67 2935 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2935[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2935 -> 2972[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2935 -> 2973[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2934[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww266 (Succ ww2290))",fontsize=16,color="burlywood",shape="triangle"];6243[label="ww266/Succ ww2660",fontsize=10,color="white",style="solid",shape="box"];2934 -> 6243[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6243 -> 2974[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6244[label="ww266/Zero",fontsize=10,color="white",style="solid",shape="box"];2934 -> 6244[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6244 -> 2975[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2936[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2936 -> 2976[label="",style="solid", color="black", weight=3]; 25.69/9.67 2937[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2937 -> 2977[label="",style="solid", color="black", weight=3]; 25.69/9.67 2938[label="List.insertBy0 (Pos Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg Zero) ww47 (Pos Zero :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2938 -> 2978[label="",style="solid", color="black", weight=3]; 25.69/9.67 2940 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2940[label="primPlusNat (primMulNat ww4300 (Succ ww4600)) (Succ ww4600)",fontsize=16,color="magenta"];2940 -> 2979[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2940 -> 2980[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2939[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww268 (Succ ww2290))",fontsize=16,color="burlywood",shape="triangle"];6245[label="ww268/Succ ww2680",fontsize=10,color="white",style="solid",shape="box"];2939 -> 6245[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6245 -> 2981[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6246[label="ww268/Zero",fontsize=10,color="white",style="solid",shape="box"];2939 -> 6246[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6246 -> 2982[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2941[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2941 -> 2986[label="",style="solid", color="black", weight=3]; 25.69/9.67 2942[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2942 -> 2987[label="",style="solid", color="black", weight=3]; 25.69/9.67 2943[label="List.insertBy0 (Neg Zero :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos Zero) ww47 (Neg Zero :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="box"];2943 -> 2988[label="",style="solid", color="black", weight=3]; 25.69/9.67 2944 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2944[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2944 -> 2989[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2944 -> 2990[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2945[label="Succ ww4600",fontsize=16,color="green",shape="box"];2946[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos (Succ ww2580)))",fontsize=16,color="black",shape="box"];2946 -> 2991[label="",style="solid", color="black", weight=3]; 25.69/9.67 2947[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2947 -> 2992[label="",style="solid", color="black", weight=3]; 25.69/9.67 2948[label="Neg (Succ ww45) :% Pos Zero : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2949[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2950[label="Neg (Succ ww45) :% Pos Zero : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2951 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2951[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2951 -> 2993[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2951 -> 2994[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2952[label="Succ ww4600",fontsize=16,color="green",shape="box"];2953[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (Succ ww2600)))",fontsize=16,color="black",shape="box"];2953 -> 2995[label="",style="solid", color="black", weight=3]; 25.69/9.67 2954[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2954 -> 2996[label="",style="solid", color="black", weight=3]; 25.69/9.67 2955[label="Neg (Succ ww45) :% Neg Zero : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2956[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2957[label="Neg (Succ ww45) :% Neg Zero : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2958 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2958[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2958 -> 2997[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2958 -> 2998[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2959[label="Succ ww4600",fontsize=16,color="green",shape="box"];2960[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg (Succ ww2620)))",fontsize=16,color="black",shape="box"];2960 -> 2999[label="",style="solid", color="black", weight=3]; 25.69/9.67 2961[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];2961 -> 3000[label="",style="solid", color="black", weight=3]; 25.69/9.67 2962[label="Neg (Succ ww45) :% Pos Zero : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2963[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2964[label="Neg (Succ ww45) :% Pos Zero : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2965 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2965[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2965 -> 3001[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2965 -> 3002[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2966[label="Succ ww4600",fontsize=16,color="green",shape="box"];2967[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos (Succ ww2640)))",fontsize=16,color="black",shape="box"];2967 -> 3003[label="",style="solid", color="black", weight=3]; 25.69/9.67 2968[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];2968 -> 3004[label="",style="solid", color="black", weight=3]; 25.69/9.67 2969[label="Neg (Succ ww45) :% Neg Zero : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2970[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2971[label="Neg (Succ ww45) :% Neg Zero : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];1774 -> 2806[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1774[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1774 -> 2807[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1775 -> 2811[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1775[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos 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weight=3]; 25.69/9.67 1778 -> 2828[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1778[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1778 -> 2829[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1779[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1779 -> 2838[label="",style="solid", color="black", weight=3]; 25.69/9.67 1780 -> 2839[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1780[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1780 -> 2840[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1781 -> 2853[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1781[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1781 -> 2854[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1782[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1782 -> 2877[label="",style="solid", color="black", weight=3]; 25.69/9.67 1783 -> 2878[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1783[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1783 -> 2879[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1784 -> 2904[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1784[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1784 -> 2905[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1785[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];1785 -> 2983[label="",style="solid", color="black", weight=3]; 25.69/9.67 1786 -> 2984[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1786[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1786 -> 2985[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1787 -> 3005[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1787[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg 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3010[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1790[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1790 -> 3011[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1791[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1791 -> 3012[label="",style="solid", color="black", weight=3]; 25.69/9.67 1792 -> 3013[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1792[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1792 -> 3014[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1793 -> 3015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1793[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1793 -> 3016[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1794[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1794 -> 3017[label="",style="solid", color="black", weight=3]; 25.69/9.67 1795 -> 3018[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1795[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1795 -> 3019[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1796 -> 3020[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1796[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1796 -> 3021[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1797[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];1797 -> 3022[label="",style="solid", color="black", weight=3]; 25.69/9.67 1798 -> 3023[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1798[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1798 -> 3024[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1799 -> 3025[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1799[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) 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3030[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1802[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1802 -> 3031[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1803[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1803 -> 3032[label="",style="solid", color="black", weight=3]; 25.69/9.67 1804 -> 3033[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1804[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1804 -> 3034[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1805 -> 3035[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1805[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1805 -> 3036[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1806[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];1806 -> 3037[label="",style="solid", color="black", weight=3]; 25.69/9.67 1807 -> 3038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1807[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1807 -> 3039[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1808 -> 3040[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1808[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1808 -> 3041[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1809[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];1809 -> 3042[label="",style="solid", color="black", weight=3]; 25.69/9.67 3311 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3311[label="primPlusNat (primMulNat ww4900 (Succ ww5200)) (Succ ww5200)",fontsize=16,color="magenta"];3311 -> 3348[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3311 -> 3349[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3310[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) ww357)",fontsize=16,color="burlywood",shape="triangle"];6247[label="ww357/Succ ww3570",fontsize=10,color="white",style="solid",shape="box"];3310 -> 6247[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6247 -> 3350[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6248[label="ww357/Zero",fontsize=10,color="white",style="solid",shape="box"];3310 -> 6248[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6248 -> 3351[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3312[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos Zero) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3312 -> 3352[label="",style="solid", color="black", weight=3]; 25.69/9.67 3313[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3313 -> 3353[label="",style="solid", color="black", weight=3]; 25.69/9.67 3314[label="List.insertBy0 (Pos Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos Zero) ww53 (Pos Zero :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3314 -> 3354[label="",style="solid", color="black", weight=3]; 25.69/9.67 3316 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3316[label="primPlusNat (primMulNat ww4900 (Succ ww5200)) (Succ ww5200)",fontsize=16,color="magenta"];3316 -> 3355[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3316 -> 3356[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3315[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) ww359)",fontsize=16,color="burlywood",shape="triangle"];6249[label="ww359/Succ ww3590",fontsize=10,color="white",style="solid",shape="box"];3315 -> 6249[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6249 -> 3357[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6250[label="ww359/Zero",fontsize=10,color="white",style="solid",shape="box"];3315 -> 6250[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6250 -> 3358[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 3317[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3317 -> 3362[label="",style="solid", color="black", weight=3]; 25.69/9.67 3318[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3318 -> 3363[label="",style="solid", color="black", weight=3]; 25.69/9.67 3319[label="List.insertBy0 (Neg Zero :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg Zero) ww53 (Neg Zero :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="box"];3319 -> 3364[label="",style="solid", color="black", weight=3]; 25.69/9.67 3320 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3320[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3320 -> 3365[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3320 -> 3366[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3321[label="Succ ww5200",fontsize=16,color="green",shape="box"];3322[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (Succ ww3490)))",fontsize=16,color="black",shape="box"];3322 -> 3367[label="",style="solid", color="black", weight=3]; 25.69/9.67 3323[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3323 -> 3368[label="",style="solid", color="black", weight=3]; 25.69/9.67 3324[label="Neg (Succ ww51) :% Pos Zero : Pos (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3325[label="Neg (Succ ww51) :% Pos (Succ ww5200) : Pos Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3326[label="Neg (Succ ww51) :% Pos Zero : Pos Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3327 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3327[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3327 -> 3369[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3327 -> 3370[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3328[label="Succ ww5200",fontsize=16,color="green",shape="box"];3329[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (Succ ww3510)))",fontsize=16,color="black",shape="box"];3329 -> 3371[label="",style="solid", color="black", weight=3]; 25.69/9.67 3330[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3330 -> 3372[label="",style="solid", color="black", weight=3]; 25.69/9.67 3331[label="Neg (Succ ww51) :% Neg Zero : Pos (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3332[label="Neg (Succ ww51) :% Neg (Succ ww5200) : Pos Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3333[label="Neg (Succ ww51) :% Neg Zero : Pos Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3334 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3334[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3334 -> 3373[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3334 -> 3374[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3335[label="Succ ww5200",fontsize=16,color="green",shape="box"];3336[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg (Succ ww3530)))",fontsize=16,color="black",shape="box"];3336 -> 3375[label="",style="solid", color="black", weight=3]; 25.69/9.67 3337[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3337 -> 3376[label="",style="solid", color="black", weight=3]; 25.69/9.67 3338[label="Neg (Succ ww51) :% Pos Zero : Neg (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3339[label="Neg (Succ ww51) :% Pos (Succ ww5200) : Neg Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3340[label="Neg (Succ ww51) :% Pos Zero : Neg Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3341 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 3341[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3341 -> 3377[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3341 -> 3378[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 3342[label="Succ ww5200",fontsize=16,color="green",shape="box"];3343[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos (Succ ww3550)))",fontsize=16,color="black",shape="box"];3343 -> 3379[label="",style="solid", color="black", weight=3]; 25.69/9.67 3344[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3344 -> 3380[label="",style="solid", color="black", weight=3]; 25.69/9.67 3345[label="Neg (Succ ww51) :% Neg Zero : Neg (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3346[label="Neg (Succ ww51) :% Neg (Succ ww5200) : Neg Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3347[label="Neg (Succ ww51) :% Neg Zero : Neg Zero :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];1838 -> 3175[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1838[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1838 -> 3176[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1839 -> 3181[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1839[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1839 -> 3182[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1840[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1840 -> 3187[label="",style="solid", color="black", weight=3]; 25.69/9.67 1841 -> 3188[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1841[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1841 -> 3189[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1842 -> 3198[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1842[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1842 -> 3199[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1843[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];1843 -> 3208[label="",style="solid", color="black", weight=3]; 25.69/9.67 1844 -> 3209[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1844[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1844 -> 3210[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1845 -> 3223[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1845[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1845 -> 3224[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1846[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];1846 -> 3247[label="",style="solid", color="black", weight=3]; 25.69/9.67 1847 -> 3248[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1847[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1847 -> 3249[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1848 -> 3276[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1848[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1848 -> 3277[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1849[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1849 -> 3359[label="",style="solid", color="black", weight=3]; 25.69/9.67 1850 -> 3360[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1850[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1850 -> 3361[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1851 -> 3381[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1851[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1851 -> 3382[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1852[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww19)) compare ww20 ww21 (Pos (Succ Zero) :% Neg (Succ ww19) : ww21) (primCmpInt (Pos Zero) (Pos (Succ ww22)))",fontsize=16,color="black",shape="box"];1852 -> 3383[label="",style="solid", color="black", weight=3]; 25.69/9.67 1853 -> 3384[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1853[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat 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1856[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1856 -> 3390[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1857 -> 3391[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1857[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1857 -> 3392[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1858[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];1858 -> 3393[label="",style="solid", color="black", weight=3]; 25.69/9.67 1859 -> 3394[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1859[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1859 -> 3395[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1860 -> 3396[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1860[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1860 -> 3397[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1861[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1861 -> 3398[label="",style="solid", color="black", weight=3]; 25.69/9.67 1862 -> 3399[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1862[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1862 -> 3400[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1863 -> 3401[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1863[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1863 -> 3402[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1864[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1864 -> 3403[label="",style="solid", color="black", weight=3]; 25.69/9.67 1865 -> 3404[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1865[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1865 -> 3405[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1866 -> 3406[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1866[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1866 -> 3407[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1867[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];1867 -> 3408[label="",style="solid", color="black", weight=3]; 25.69/9.67 1868 -> 3409[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1868[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1868 -> 3410[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1869 -> 3411[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1869[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1869 -> 3412[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1870[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];1870 -> 3413[label="",style="solid", color="black", weight=3]; 25.69/9.67 1871 -> 3414[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1871[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1871 -> 3415[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1872 -> 3416[label="",style="dashed", color="red", weight=0]; 25.69/9.67 1872[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100))))",fontsize=16,color="magenta"];1872 -> 3417[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 1873[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3100))",fontsize=16,color="black",shape="box"];1873 -> 3418[label="",style="solid", color="black", weight=3]; 25.69/9.67 2221 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2221[label="primMulNat ww2400 (Succ ww2700)",fontsize=16,color="magenta"];2221 -> 3419[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2221 -> 3420[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2222[label="Succ ww2700",fontsize=16,color="green",shape="box"];2223[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (Succ ww920))",fontsize=16,color="black",shape="box"];2223 -> 3421[label="",style="solid", color="black", weight=3]; 25.69/9.67 2224[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) Zero)",fontsize=16,color="black",shape="box"];2224 -> 3422[label="",style="solid", color="black", weight=3]; 25.69/9.67 2225[label="Pos (Succ ww2400) :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Pos Zero) ww28",fontsize=16,color="green",shape="box"];2225 -> 3423[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2226[label="Pos Zero :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28",fontsize=16,color="green",shape="box"];2226 -> 3424[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2227[label="Pos Zero :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Pos Zero) ww28",fontsize=16,color="green",shape="box"];2227 -> 3425[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2228 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2228[label="primMulNat ww2400 (Succ ww2700)",fontsize=16,color="magenta"];2228 -> 3426[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2228 -> 3427[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2229[label="Succ ww2700",fontsize=16,color="green",shape="box"];2230[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) (Succ ww940))",fontsize=16,color="black",shape="box"];2230 -> 3428[label="",style="solid", color="black", weight=3]; 25.69/9.67 2231[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww600) Zero)",fontsize=16,color="black",shape="box"];2231 -> 3429[label="",style="solid", color="black", weight=3]; 25.69/9.67 2235[label="Neg (Succ ww2400) :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Neg Zero) ww28",fontsize=16,color="green",shape="box"];2235 -> 3430[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2236[label="Neg Zero :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28",fontsize=16,color="green",shape="box"];2236 -> 3431[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2237[label="Neg Zero :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Neg Zero) ww28",fontsize=16,color="green",shape="box"];2237 -> 3432[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2238[label="ww2400",fontsize=16,color="green",shape="box"];2239[label="ww2700",fontsize=16,color="green",shape="box"];2240[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero (Succ ww840))",fontsize=16,color="black",shape="box"];2240 -> 3433[label="",style="solid", color="black", weight=3]; 25.69/9.67 2241[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="triangle"];2241 -> 3434[label="",style="solid", color="black", weight=3]; 25.69/9.67 2242[label="ww2400",fontsize=16,color="green",shape="box"];2243[label="ww2700",fontsize=16,color="green",shape="box"];2244 -> 2072[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2244[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="magenta"];2244 -> 3435[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2244 -> 3436[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2245 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2245[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];2245 -> 3437[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2245 -> 3438[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2245 -> 3439[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2245 -> 3440[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2246[label="ww2400",fontsize=16,color="green",shape="box"];2247[label="ww2700",fontsize=16,color="green",shape="box"];2248 -> 2073[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2248[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="magenta"];2248 -> 3441[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2248 -> 3442[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2249[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="black",shape="box"];2249 -> 3443[label="",style="solid", color="black", weight=3]; 25.69/9.67 2250[label="ww2400",fontsize=16,color="green",shape="box"];2251[label="ww2700",fontsize=16,color="green",shape="box"];2252[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero (Succ ww900))",fontsize=16,color="black",shape="box"];2252 -> 3444[label="",style="solid", color="black", weight=3]; 25.69/9.67 2253 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2253[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];2253 -> 3445[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2253 -> 3446[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2253 -> 3447[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2253 -> 3448[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2023 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2023[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2023 -> 3449[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2023 -> 3450[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2022[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos 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2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2054[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2054 -> 3462[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2054 -> 3463[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2053[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww70))",fontsize=16,color="burlywood",shape="triangle"];6257[label="ww70/Succ ww700",fontsize=10,color="white",style="solid",shape="box"];2053 -> 6257[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6257 -> 3464[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6258[label="ww70/Zero",fontsize=10,color="white",style="solid",shape="box"];2053 -> 6258[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6258 -> 3465[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2068[label="Pos (Succ Zero) :% Pos Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];2068 -> 3466[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2070 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2070[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2070 -> 3467[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2070 -> 3468[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2069[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww72))",fontsize=16,color="burlywood",shape="triangle"];6259[label="ww72/Succ ww720",fontsize=10,color="white",style="solid",shape="box"];2069 -> 6259[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6259 -> 3469[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6260[label="ww72/Zero",fontsize=10,color="white",style="solid",shape="box"];2069 -> 6260[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6260 -> 3470[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2088 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2088[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2088 -> 3471[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2088 -> 3472[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2087[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg 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3476[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2114 -> 3477[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2113[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww78))",fontsize=16,color="burlywood",shape="triangle"];6263[label="ww78/Succ ww780",fontsize=10,color="white",style="solid",shape="box"];2113 -> 6263[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6263 -> 3478[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6264[label="ww78/Zero",fontsize=10,color="white",style="solid",shape="box"];2113 -> 6264[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6264 -> 3479[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2144 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2144[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2144 -> 3480[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2144 -> 3481[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2143[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww82))",fontsize=16,color="burlywood",shape="triangle"];6265[label="ww82/Succ ww820",fontsize=10,color="white",style="solid",shape="box"];2143 -> 6265[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6265 -> 3482[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6266[label="ww82/Zero",fontsize=10,color="white",style="solid",shape="box"];2143 -> 6266[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6266 -> 3483[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2232[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];2232 -> 3484[label="",style="solid", color="black", weight=3]; 25.69/9.67 2234 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2234[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2234 -> 3485[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2234 -> 3486[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2233[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww96))",fontsize=16,color="burlywood",shape="triangle"];6267[label="ww96/Succ ww960",fontsize=10,color="white",style="solid",shape="box"];2233 -> 6267[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6267 -> 3487[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6268[label="ww96/Zero",fontsize=10,color="white",style="solid",shape="box"];2233 -> 6268[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6268 -> 3488[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2255 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2255[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2255 -> 3489[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2255 -> 3490[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2254[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww100))",fontsize=16,color="burlywood",shape="triangle"];6269[label="ww100/Succ ww1000",fontsize=10,color="white",style="solid",shape="box"];2254 -> 6269[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6269 -> 3491[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6270[label="ww100/Zero",fontsize=10,color="white",style="solid",shape="box"];2254 -> 6270[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6270 -> 3492[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2256[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];2256 -> 3493[label="",style="solid", color="black", weight=3]; 25.69/9.67 2258 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2258[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2258 -> 3494[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2258 -> 3495[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2257[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg ww102))",fontsize=16,color="burlywood",shape="triangle"];6271[label="ww102/Succ ww1020",fontsize=10,color="white",style="solid",shape="box"];2257 -> 6271[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6271 -> 3496[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6272[label="ww102/Zero",fontsize=10,color="white",style="solid",shape="box"];2257 -> 6272[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6272 -> 3497[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2260 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2260[label="primPlusNat (primPlusNat Zero (Succ ww3100)) 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3505[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6276[label="ww108/Zero",fontsize=10,color="white",style="solid",shape="box"];2262 -> 6276[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6276 -> 3506[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2265 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2265[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2265 -> 3507[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2265 -> 3508[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2264[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg ww112))",fontsize=16,color="burlywood",shape="triangle"];6277[label="ww112/Succ ww1120",fontsize=10,color="white",style="solid",shape="box"];2264 -> 6277[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6277 -> 3509[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6278[label="ww112/Zero",fontsize=10,color="white",style="solid",shape="box"];2264 -> 6278[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6278 -> 3510[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2266[label="Neg (Succ Zero) :% Pos (Succ ww40100) : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];2266 -> 3511[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2268 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2268[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2268 -> 3512[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2268 -> 3513[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2267[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww114))",fontsize=16,color="burlywood",shape="triangle"];6279[label="ww114/Succ ww1140",fontsize=10,color="white",style="solid",shape="box"];2267 -> 6279[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6279 -> 3514[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6280[label="ww114/Zero",fontsize=10,color="white",style="solid",shape="box"];2267 -> 6280[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6280 -> 3515[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2270 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2270[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2270 -> 3516[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2270 -> 3517[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2269[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww118))",fontsize=16,color="burlywood",shape="triangle"];6281[label="ww118/Succ ww1180",fontsize=10,color="white",style="solid",shape="box"];2269 -> 6281[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6281 -> 3518[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6282[label="ww118/Zero",fontsize=10,color="white",style="solid",shape="box"];2269 -> 6282[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6282 -> 3519[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2271 -> 4612[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2271[label="List.insertBy0 (Neg (Succ Zero) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="magenta"];2271 -> 4619[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2271 -> 4620[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2271 -> 4621[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2273 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2273[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2273 -> 3521[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2273 -> 3522[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2272[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww120))",fontsize=16,color="burlywood",shape="triangle"];6283[label="ww120/Succ ww1200",fontsize=10,color="white",style="solid",shape="box"];2272 -> 6283[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6283 -> 3523[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6284[label="ww120/Zero",fontsize=10,color="white",style="solid",shape="box"];2272 -> 6284[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6284 -> 3524[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2275 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2275[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2275 -> 3525[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2275 -> 3526[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2274[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww124))",fontsize=16,color="burlywood",shape="triangle"];6285[label="ww124/Succ ww1240",fontsize=10,color="white",style="solid",shape="box"];2274 -> 6285[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6285 -> 3527[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6286[label="ww124/Zero",fontsize=10,color="white",style="solid",shape="box"];2274 -> 6286[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6286 -> 3528[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2276[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];2276 -> 3529[label="",style="solid", color="black", weight=3]; 25.69/9.67 2278 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2278[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2278 -> 3530[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2278 -> 3531[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2277[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww126))",fontsize=16,color="burlywood",shape="triangle"];6287[label="ww126/Succ ww1260",fontsize=10,color="white",style="solid",shape="box"];2277 -> 6287[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6287 -> 3532[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6288[label="ww126/Zero",fontsize=10,color="white",style="solid",shape="box"];2277 -> 6288[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6288 -> 3533[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2280 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2280[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2280 -> 3534[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2280 -> 3535[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2279[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww130))",fontsize=16,color="burlywood",shape="triangle"];6289[label="ww130/Succ ww1300",fontsize=10,color="white",style="solid",shape="box"];2279 -> 6289[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6289 -> 3536[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6290[label="ww130/Zero",fontsize=10,color="white",style="solid",shape="box"];2279 -> 6290[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6290 -> 3537[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2281[label="Pos (Succ Zero) :% Pos Zero : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];2281 -> 3538[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2283 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2283[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2283 -> 3539[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2283 -> 3540[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2282[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww132))",fontsize=16,color="burlywood",shape="triangle"];6291[label="ww132/Succ ww1320",fontsize=10,color="white",style="solid",shape="box"];2282 -> 6291[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6291 -> 3541[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6292[label="ww132/Zero",fontsize=10,color="white",style="solid",shape="box"];2282 -> 6292[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6292 -> 3542[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2285 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2285[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2285 -> 3543[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2285 -> 3544[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2284[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg ww136))",fontsize=16,color="burlywood",shape="triangle"];6293[label="ww136/Succ ww1360",fontsize=10,color="white",style="solid",shape="box"];2284 -> 6293[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6293 -> 3545[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6294[label="ww136/Zero",fontsize=10,color="white",style="solid",shape="box"];2284 -> 6294[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6294 -> 3546[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2286[label="Neg (Succ Zero) :% Pos Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];2286 -> 3547[label="",style="dashed", color="green", weight=3]; 25.69/9.67 2288 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2288[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2288 -> 3548[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2288 -> 3549[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2287[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww138))",fontsize=16,color="burlywood",shape="triangle"];6295[label="ww138/Succ ww1380",fontsize=10,color="white",style="solid",shape="box"];2287 -> 6295[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6295 -> 3550[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6296[label="ww138/Zero",fontsize=10,color="white",style="solid",shape="box"];2287 -> 6296[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6296 -> 3551[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2290 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2290[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2290 -> 3552[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2290 -> 3553[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2289[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos ww142))",fontsize=16,color="burlywood",shape="triangle"];6297[label="ww142/Succ ww1420",fontsize=10,color="white",style="solid",shape="box"];2289 -> 6297[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6297 -> 3554[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6298[label="ww142/Zero",fontsize=10,color="white",style="solid",shape="box"];2289 -> 6298[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6298 -> 3555[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2291 -> 4612[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2291[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) LT",fontsize=16,color="magenta"];2291 -> 4622[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2291 -> 4623[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2291 -> 4624[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2596 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2596[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2596 -> 3557[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2596 -> 3558[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2597[label="Succ ww3300",fontsize=16,color="green",shape="box"];2598[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww1830) (Succ ww1440))",fontsize=16,color="black",shape="box"];2598 -> 3559[label="",style="solid", color="black", weight=3]; 25.69/9.67 2599[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2599 -> 3560[label="",style="solid", color="black", weight=3]; 25.69/9.67 2600[label="Pos (Succ ww32) :% Neg Zero : Pos (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2601[label="Pos (Succ ww32) :% Neg (Succ ww3300) : Pos Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2602[label="Pos (Succ ww32) :% Neg Zero : Pos Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2603 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2603[label="primMulNat ww3000 (Succ ww3300)",fontsize=16,color="magenta"];2603 -> 3561[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2603 -> 3562[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2604[label="Succ ww3300",fontsize=16,color="green",shape="box"];2605[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww1850) (Succ ww1440))",fontsize=16,color="black",shape="box"];2605 -> 3563[label="",style="solid", color="black", weight=3]; 25.69/9.67 2606[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww1440))",fontsize=16,color="black",shape="box"];2606 -> 3564[label="",style="solid", color="black", weight=3]; 25.69/9.67 2614[label="Pos (Succ ww32) :% Pos Zero : Neg (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2615[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Neg Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2616[label="Pos (Succ ww32) :% Pos Zero : Neg Zero :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];2617[label="ww3000",fontsize=16,color="green",shape="box"];2618[label="ww3300",fontsize=16,color="green",shape="box"];2619 -> 2459[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2619[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="magenta"];2619 -> 3565[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2619 -> 3566[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2620[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="box"];2620 -> 3567[label="",style="solid", color="black", weight=3]; 25.69/9.67 2621[label="ww3000",fontsize=16,color="green",shape="box"];2622[label="ww3300",fontsize=16,color="green",shape="box"];2623[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww1770) Zero)",fontsize=16,color="black",shape="box"];2623 -> 3568[label="",style="solid", color="black", weight=3]; 25.69/9.67 2624 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2624[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];2624 -> 3569[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2624 -> 3570[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2624 -> 3571[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2624 -> 3572[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2625[label="ww3000",fontsize=16,color="green",shape="box"];2626[label="ww3300",fontsize=16,color="green",shape="box"];2627[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww1790) Zero)",fontsize=16,color="black",shape="box"];2627 -> 3573[label="",style="solid", color="black", weight=3]; 25.69/9.67 2628[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="black",shape="triangle"];2628 -> 3574[label="",style="solid", color="black", weight=3]; 25.69/9.67 2629[label="ww3000",fontsize=16,color="green",shape="box"];2630[label="ww3300",fontsize=16,color="green",shape="box"];2631 -> 2462[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2631[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="magenta"];2631 -> 3575[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2631 -> 3576[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2632 -> 1183[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2632[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];2632 -> 3577[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2632 -> 3578[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2632 -> 3579[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2632 -> 3580[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2425 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2425[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ 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2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2430[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2430 -> 3585[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2430 -> 3586[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2429[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww155))",fontsize=16,color="burlywood",shape="triangle"];6301[label="ww155/Succ ww1550",fontsize=10,color="white",style="solid",shape="box"];2429 -> 6301[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6301 -> 3587[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6302[label="ww155/Zero",fontsize=10,color="white",style="solid",shape="box"];2429 -> 6302[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6302 -> 3588[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2435[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ Zero) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];2437 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2437[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2437 -> 3589[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2437 -> 3590[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2436[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww157))",fontsize=16,color="burlywood",shape="triangle"];6303[label="ww157/Succ ww1570",fontsize=10,color="white",style="solid",shape="box"];2436 -> 6303[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6303 -> 3591[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6304[label="ww157/Zero",fontsize=10,color="white",style="solid",shape="box"];2436 -> 6304[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6304 -> 3592[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2447 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2447[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2447 -> 3593[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2447 -> 3594[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2446[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww161))",fontsize=16,color="burlywood",shape="triangle"];6305[label="ww161/Succ ww1610",fontsize=10,color="white",style="solid",shape="box"];2446 -> 6305[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6305 -> 3595[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6306[label="ww161/Zero",fontsize=10,color="white",style="solid",shape="box"];2446 -> 6306[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6306 -> 3596[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2456[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];2456 -> 3597[label="",style="solid", color="black", weight=3]; 25.69/9.67 2458 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2458[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2458 -> 3598[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2458 -> 3599[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2457[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww163))",fontsize=16,color="burlywood",shape="triangle"];6307[label="ww163/Succ ww1630",fontsize=10,color="white",style="solid",shape="box"];2457 -> 6307[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6307 -> 3600[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6308[label="ww163/Zero",fontsize=10,color="white",style="solid",shape="box"];2457 -> 6308[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6308 -> 3601[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2472 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2472[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2472 -> 3602[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2472 -> 3603[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2471[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww167))",fontsize=16,color="burlywood",shape="triangle"];6309[label="ww167/Succ ww1670",fontsize=10,color="white",style="solid",shape="box"];2471 -> 6309[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6309 -> 3604[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6310[label="ww167/Zero",fontsize=10,color="white",style="solid",shape="box"];2471 -> 6310[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6310 -> 3605[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2495[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];2495 -> 3606[label="",style="solid", color="black", weight=3]; 25.69/9.67 2497 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2497[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2497 -> 3607[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2497 -> 3608[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2496[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww169))",fontsize=16,color="burlywood",shape="triangle"];6311[label="ww169/Succ ww1690",fontsize=10,color="white",style="solid",shape="box"];2496 -> 6311[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6311 -> 3609[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6312[label="ww169/Zero",fontsize=10,color="white",style="solid",shape="box"];2496 -> 6312[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6312 -> 3610[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2523 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2523[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2523 -> 3611[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2523 -> 3612[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2522[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww173))",fontsize=16,color="burlywood",shape="triangle"];6313[label="ww173/Succ ww1730",fontsize=10,color="white",style="solid",shape="box"];2522 -> 6313[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6313 -> 3613[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6314[label="ww173/Zero",fontsize=10,color="white",style="solid",shape="box"];2522 -> 6314[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6314 -> 3614[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2607[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ Zero) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];2608[label="compare (ww160 :% ww161) (ww170 :% ww171)",fontsize=16,color="black",shape="box"];2608 -> 3615[label="",style="solid", color="black", weight=3]; 25.69/9.67 2609 -> 3616[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2609[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat (primPlusNat (primMulNat ww600 (Succ ww9)) (Succ ww9)) (Succ ww9)) (Succ ww9))))",fontsize=16,color="magenta"];2609 -> 3617[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2610 -> 3618[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2610[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (primPlusNat (primPlusNat Zero (Succ ww9)) (Succ ww9))))",fontsize=16,color="magenta"];2610 -> 3619[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2611[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ Zero) :% Neg (Succ ww7) : ww10) LT",fontsize=16,color="black",shape="box"];2611 -> 3620[label="",style="solid", color="black", weight=3]; 25.69/9.67 2613 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2613[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ 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weight=0]; 25.69/9.67 2634[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2634 -> 3625[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2634 -> 3626[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2633[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg ww191))",fontsize=16,color="burlywood",shape="triangle"];6317[label="ww191/Succ ww1910",fontsize=10,color="white",style="solid",shape="box"];2633 -> 6317[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6317 -> 3627[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6318[label="ww191/Zero",fontsize=10,color="white",style="solid",shape="box"];2633 -> 6318[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6318 -> 3628[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2635[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];2635 -> 3629[label="",style="solid", color="black", weight=3]; 25.69/9.67 2637 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2637[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2637 -> 3630[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2637 -> 3631[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2636[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg ww193))",fontsize=16,color="burlywood",shape="triangle"];6319[label="ww193/Succ ww1930",fontsize=10,color="white",style="solid",shape="box"];2636 -> 6319[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6319 -> 3632[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6320[label="ww193/Zero",fontsize=10,color="white",style="solid",shape="box"];2636 -> 6320[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6320 -> 3633[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2639 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2639[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2639 -> 3634[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2639 -> 3635[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2638[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg ww197))",fontsize=16,color="burlywood",shape="triangle"];6321[label="ww197/Succ ww1970",fontsize=10,color="white",style="solid",shape="box"];2638 -> 6321[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6321 -> 3636[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6322[label="ww197/Zero",fontsize=10,color="white",style="solid",shape="box"];2638 -> 6322[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6322 -> 3637[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2640[label="List.insertBy0 (Neg (Succ Zero) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];2640 -> 3638[label="",style="solid", color="black", weight=3]; 25.69/9.67 2642 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2642[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) 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color="red", weight=0]; 25.69/9.67 2644[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2644 -> 3643[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2644 -> 3644[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2643[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos ww203))",fontsize=16,color="burlywood",shape="triangle"];6325[label="ww203/Succ ww2030",fontsize=10,color="white",style="solid",shape="box"];2643 -> 6325[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6325 -> 3645[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6326[label="ww203/Zero",fontsize=10,color="white",style="solid",shape="box"];2643 -> 6326[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6326 -> 3646[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 4613[label="ww3100",fontsize=16,color="green",shape="box"];4614[label="ww41",fontsize=16,color="green",shape="box"];4615[label="Neg (Succ Zero) :% Neg (Succ ww40100)",fontsize=16,color="green",shape="box"];4612[label="List.insertBy0 ww416 compare (Pos Zero :% Neg (Succ ww417)) ww418 (ww416 : ww418) LT",fontsize=16,color="black",shape="triangle"];4612 -> 4649[label="",style="solid", color="black", weight=3]; 25.69/9.67 2647 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2647[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2647 -> 3647[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2647 -> 3648[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2646[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero 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ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww209))",fontsize=16,color="burlywood",shape="triangle"];6329[label="ww209/Succ ww2090",fontsize=10,color="white",style="solid",shape="box"];2648 -> 6329[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6329 -> 3653[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6330[label="ww209/Zero",fontsize=10,color="white",style="solid",shape="box"];2648 -> 6330[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6330 -> 3654[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2650[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ Zero) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];2652 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2652[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2652 -> 3655[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2652 -> 3656[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2651[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww211))",fontsize=16,color="burlywood",shape="triangle"];6331[label="ww211/Succ ww2110",fontsize=10,color="white",style="solid",shape="box"];2651 -> 6331[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6331 -> 3657[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6332[label="ww211/Zero",fontsize=10,color="white",style="solid",shape="box"];2651 -> 6332[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6332 -> 3658[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2654 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2654[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2654 -> 3659[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2654 -> 3660[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2653[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww215))",fontsize=16,color="burlywood",shape="triangle"];6333[label="ww215/Succ ww2150",fontsize=10,color="white",style="solid",shape="box"];2653 -> 6333[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6333 -> 3661[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6334[label="ww215/Zero",fontsize=10,color="white",style="solid",shape="box"];2653 -> 6334[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6334 -> 3662[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2655[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];2655 -> 3663[label="",style="solid", color="black", weight=3]; 25.69/9.67 2657 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2657[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2657 -> 3664[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2657 -> 3665[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2656[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww217))",fontsize=16,color="burlywood",shape="triangle"];6335[label="ww217/Succ ww2170",fontsize=10,color="white",style="solid",shape="box"];2656 -> 6335[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6335 -> 3666[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 6336[label="ww217/Zero",fontsize=10,color="white",style="solid",shape="box"];2656 -> 6336[label="",style="solid", color="burlywood", weight=9]; 25.69/9.67 6336 -> 3667[label="",style="solid", color="burlywood", weight=3]; 25.69/9.67 2659 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.67 2659[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2659 -> 3668[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2659 -> 3669[label="",style="dashed", color="magenta", weight=3]; 25.69/9.67 2658[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg ww221))",fontsize=16,color="burlywood",shape="triangle"];6337[label="ww221/Succ ww2210",fontsize=10,color="white",style="solid",shape="box"];2658 -> 6337[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6337 -> 3670[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6338[label="ww221/Zero",fontsize=10,color="white",style="solid",shape="box"];2658 -> 6338[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6338 -> 3671[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2660[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];2660 -> 3672[label="",style="solid", color="black", weight=3]; 25.69/9.68 2662 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2662[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2662 -> 3673[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2662 -> 3674[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2661[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww223))",fontsize=16,color="burlywood",shape="triangle"];6339[label="ww223/Succ ww2230",fontsize=10,color="white",style="solid",shape="box"];2661 -> 6339[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6339 -> 3675[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6340[label="ww223/Zero",fontsize=10,color="white",style="solid",shape="box"];2661 -> 6340[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6340 -> 3676[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2664 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2664[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2664 -> 3677[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2664 -> 3678[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2663[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos ww227))",fontsize=16,color="burlywood",shape="triangle"];6341[label="ww227/Succ ww2270",fontsize=10,color="white",style="solid",shape="box"];2663 -> 6341[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6341 -> 3679[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6342[label="ww227/Zero",fontsize=10,color="white",style="solid",shape="box"];2663 -> 6342[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6342 -> 3680[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 4616[label="ww3100",fontsize=16,color="green",shape="box"];4617[label="ww41",fontsize=16,color="green",shape="box"];4618[label="Neg (Succ Zero) :% Neg Zero",fontsize=16,color="green",shape="box"];2972 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2972[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2972 -> 3681[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2972 -> 3682[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2973[label="Succ ww4600",fontsize=16,color="green",shape="box"];2974[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww2660) (Succ ww2290))",fontsize=16,color="black",shape="box"];2974 -> 3683[label="",style="solid", color="black", weight=3]; 25.69/9.68 2975[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2975 -> 3684[label="",style="solid", color="black", weight=3]; 25.69/9.68 2976[label="Neg (Succ ww45) :% Neg Zero : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2977[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2978[label="Neg (Succ ww45) :% Neg Zero : Pos Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2979 -> 2015[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2979[label="primMulNat ww4300 (Succ ww4600)",fontsize=16,color="magenta"];2979 -> 3685[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2979 -> 3686[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2980[label="Succ ww4600",fontsize=16,color="green",shape="box"];2981[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww2680) (Succ ww2290))",fontsize=16,color="black",shape="box"];2981 -> 3687[label="",style="solid", color="black", weight=3]; 25.69/9.68 2982[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww2290))",fontsize=16,color="black",shape="box"];2982 -> 3688[label="",style="solid", color="black", weight=3]; 25.69/9.68 2986[label="Neg (Succ ww45) :% Pos Zero : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2987[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2988[label="Neg (Succ ww45) :% Pos Zero : Neg Zero :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];2989[label="ww4300",fontsize=16,color="green",shape="box"];2990[label="ww4600",fontsize=16,color="green",shape="box"];2991 -> 2841[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2991[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="magenta"];2991 -> 3689[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2991 -> 3690[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2992[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];2992 -> 3691[label="",style="solid", color="black", weight=3]; 25.69/9.68 2993[label="ww4300",fontsize=16,color="green",shape="box"];2994[label="ww4600",fontsize=16,color="green",shape="box"];2995[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww2600) Zero)",fontsize=16,color="black",shape="box"];2995 -> 3692[label="",style="solid", color="black", weight=3]; 25.69/9.68 2996[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="triangle"];2996 -> 3693[label="",style="solid", color="black", weight=3]; 25.69/9.68 2997[label="ww4300",fontsize=16,color="green",shape="box"];2998[label="ww4600",fontsize=16,color="green",shape="box"];2999[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww2620) Zero)",fontsize=16,color="black",shape="box"];2999 -> 3694[label="",style="solid", color="black", weight=3]; 25.69/9.68 3000[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="triangle"];3000 -> 3695[label="",style="solid", color="black", weight=3]; 25.69/9.68 3001[label="ww4300",fontsize=16,color="green",shape="box"];3002[label="ww4600",fontsize=16,color="green",shape="box"];3003 -> 2844[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3003[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="magenta"];3003 -> 3696[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3003 -> 3697[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3004[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="black",shape="box"];3004 -> 3698[label="",style="solid", color="black", weight=3]; 25.69/9.68 2807 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2807[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) 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color="red", weight=0]; 25.69/9.68 2812[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2812 -> 3703[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2812 -> 3704[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2811[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww238))",fontsize=16,color="burlywood",shape="triangle"];6345[label="ww238/Succ ww2380",fontsize=10,color="white",style="solid",shape="box"];2811 -> 6345[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6345 -> 3705[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6346[label="ww238/Zero",fontsize=10,color="white",style="solid",shape="box"];2811 -> 6346[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6346 -> 3706[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2817[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ Zero) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];2819 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2819[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2819 -> 3707[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2819 -> 3708[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2818[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww240))",fontsize=16,color="burlywood",shape="triangle"];6347[label="ww240/Succ ww2400",fontsize=10,color="white",style="solid",shape="box"];2818 -> 6347[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6347 -> 3709[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6348[label="ww240/Zero",fontsize=10,color="white",style="solid",shape="box"];2818 -> 6348[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6348 -> 3710[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2829 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2829[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2829 -> 3711[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2829 -> 3712[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2828[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww244))",fontsize=16,color="burlywood",shape="triangle"];6349[label="ww244/Succ ww2440",fontsize=10,color="white",style="solid",shape="box"];2828 -> 6349[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6349 -> 3713[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6350[label="ww244/Zero",fontsize=10,color="white",style="solid",shape="box"];2828 -> 6350[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6350 -> 3714[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2838[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];2838 -> 3715[label="",style="solid", color="black", weight=3]; 25.69/9.68 2840 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2840[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2840 -> 3716[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2840 -> 3717[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2839[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww246))",fontsize=16,color="burlywood",shape="triangle"];6351[label="ww246/Succ ww2460",fontsize=10,color="white",style="solid",shape="box"];2839 -> 6351[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6351 -> 3718[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6352[label="ww246/Zero",fontsize=10,color="white",style="solid",shape="box"];2839 -> 6352[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6352 -> 3719[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2854 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2854[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2854 -> 3720[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2854 -> 3721[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2853[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww250))",fontsize=16,color="burlywood",shape="triangle"];6353[label="ww250/Succ ww2500",fontsize=10,color="white",style="solid",shape="box"];2853 -> 6353[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6353 -> 3722[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6354[label="ww250/Zero",fontsize=10,color="white",style="solid",shape="box"];2853 -> 6354[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6354 -> 3723[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2877[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];2877 -> 3724[label="",style="solid", color="black", weight=3]; 25.69/9.68 2879 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2879[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2879 -> 3725[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2879 -> 3726[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2878[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww252))",fontsize=16,color="burlywood",shape="triangle"];6355[label="ww252/Succ ww2520",fontsize=10,color="white",style="solid",shape="box"];2878 -> 6355[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6355 -> 3727[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6356[label="ww252/Zero",fontsize=10,color="white",style="solid",shape="box"];2878 -> 6356[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6356 -> 3728[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2905 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2905[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2905 -> 3729[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2905 -> 3730[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2904[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww256))",fontsize=16,color="burlywood",shape="triangle"];6357[label="ww256/Succ ww2560",fontsize=10,color="white",style="solid",shape="box"];2904 -> 6357[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6357 -> 3731[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6358[label="ww256/Zero",fontsize=10,color="white",style="solid",shape="box"];2904 -> 6358[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6358 -> 3732[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 2983[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ Zero) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];2985 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 2985[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];2985 -> 3733[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2985 -> 3734[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 2984[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ 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weight=0]; 25.69/9.68 3011[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3011 -> 3745[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3011 -> 3746[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3010[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg ww280))",fontsize=16,color="burlywood",shape="triangle"];6365[label="ww280/Succ ww2800",fontsize=10,color="white",style="solid",shape="box"];3010 -> 6365[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6365 -> 3747[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6366[label="ww280/Zero",fontsize=10,color="white",style="solid",shape="box"];3010 -> 6366[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6366 -> 3748[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3012[label="List.insertBy0 (Pos (Succ Zero) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];3012 -> 3749[label="",style="solid", color="black", weight=3]; 25.69/9.68 3014 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3014[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3014 -> 3750[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3014 -> 3751[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3013[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg ww282))",fontsize=16,color="burlywood",shape="triangle"];6367[label="ww282/Succ 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(Succ ww3100)",fontsize=16,color="magenta"];3019 -> 3759[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3019 -> 3760[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3018[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos ww288))",fontsize=16,color="burlywood",shape="triangle"];6371[label="ww288/Succ ww2880",fontsize=10,color="white",style="solid",shape="box"];3018 -> 6371[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6371 -> 3761[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6372[label="ww288/Zero",fontsize=10,color="white",style="solid",shape="box"];3018 -> 6372[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6372 -> 3762[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3021 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3021[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3021 -> 3763[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3021 -> 3764[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3020[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos ww292))",fontsize=16,color="burlywood",shape="triangle"];6373[label="ww292/Succ ww2920",fontsize=10,color="white",style="solid",shape="box"];3020 -> 6373[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6373 -> 3765[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6374[label="ww292/Zero",fontsize=10,color="white",style="solid",shape="box"];3020 -> 6374[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6374 -> 3766[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3022[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ Zero) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];3024 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3024[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3024 -> 3767[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3024 -> 3768[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3023[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww294))",fontsize=16,color="burlywood",shape="triangle"];6375[label="ww294/Succ ww2940",fontsize=10,color="white",style="solid",shape="box"];3023 -> 6375[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6375 -> 3769[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6376[label="ww294/Zero",fontsize=10,color="white",style="solid",shape="box"];3023 -> 6376[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6376 -> 3770[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3026 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3026[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3026 -> 3771[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3026 -> 3772[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3025[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww298))",fontsize=16,color="burlywood",shape="triangle"];6377[label="ww298/Succ ww2980",fontsize=10,color="white",style="solid",shape="box"];3025 -> 6377[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6377 -> 3773[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6378[label="ww298/Zero",fontsize=10,color="white",style="solid",shape="box"];3025 -> 6378[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6378 -> 3774[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3027[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ Zero) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];3029 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3029[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3029 -> 3775[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3029 -> 3776[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3028[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww300))",fontsize=16,color="burlywood",shape="triangle"];6379[label="ww300/Succ ww3000",fontsize=10,color="white",style="solid",shape="box"];3028 -> 6379[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6379 -> 3777[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6380[label="ww300/Zero",fontsize=10,color="white",style="solid",shape="box"];3028 -> 6380[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6380 -> 3778[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3031 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3031[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3031 -> 3779[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3031 -> 3780[label="",style="dashed", color="magenta", weight=3]; 25.69/9.68 3030[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww304))",fontsize=16,color="burlywood",shape="triangle"];6381[label="ww304/Succ ww3040",fontsize=10,color="white",style="solid",shape="box"];3030 -> 6381[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6381 -> 3781[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 6382[label="ww304/Zero",fontsize=10,color="white",style="solid",shape="box"];3030 -> 6382[label="",style="solid", color="burlywood", weight=9]; 25.69/9.68 6382 -> 3782[label="",style="solid", color="burlywood", weight=3]; 25.69/9.68 3032[label="List.insertBy0 (Pos (Succ Zero) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3032 -> 3783[label="",style="solid", color="black", weight=3]; 25.69/9.68 3034 -> 2038[label="",style="dashed", color="red", weight=0]; 25.69/9.68 3034[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3034 -> 3784[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3034 -> 3785[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3033[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww306))",fontsize=16,color="burlywood",shape="triangle"];6383[label="ww306/Succ ww3060",fontsize=10,color="white",style="solid",shape="box"];3033 -> 6383[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6383 -> 3786[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6384[label="ww306/Zero",fontsize=10,color="white",style="solid",shape="box"];3033 -> 6384[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6384 -> 3787[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3036 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3036[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3036 -> 3788[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3036 -> 3789[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3035[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg ww310))",fontsize=16,color="burlywood",shape="triangle"];6385[label="ww310/Succ ww3100",fontsize=10,color="white",style="solid",shape="box"];3035 -> 6385[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6385 -> 3790[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6386[label="ww310/Zero",fontsize=10,color="white",style="solid",shape="box"];3035 -> 6386[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6386 -> 3791[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3037[label="List.insertBy0 (Neg (Succ Zero) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ Zero) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3037 -> 3792[label="",style="solid", color="black", weight=3]; 25.96/9.68 3039 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3039[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3039 -> 3793[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3039 -> 3794[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3038[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww312))",fontsize=16,color="burlywood",shape="triangle"];6387[label="ww312/Succ ww3120",fontsize=10,color="white",style="solid",shape="box"];3038 -> 6387[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6387 -> 3795[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6388[label="ww312/Zero",fontsize=10,color="white",style="solid",shape="box"];3038 -> 6388[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6388 -> 3796[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3041 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3041[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3041 -> 3797[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3041 -> 3798[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3040[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos ww316))",fontsize=16,color="burlywood",shape="triangle"];6389[label="ww316/Succ ww3160",fontsize=10,color="white",style="solid",shape="box"];3040 -> 6389[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6389 -> 3799[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6390[label="ww316/Zero",fontsize=10,color="white",style="solid",shape="box"];3040 -> 6390[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6390 -> 3800[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3042[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ Zero) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];3348 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3348[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3348 -> 3801[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3348 -> 3802[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3349[label="Succ ww5200",fontsize=16,color="green",shape="box"];3350[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (Succ ww3570))",fontsize=16,color="black",shape="box"];3350 -> 3803[label="",style="solid", color="black", weight=3]; 25.96/9.68 3351[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) Zero)",fontsize=16,color="black",shape="box"];3351 -> 3804[label="",style="solid", color="black", weight=3]; 25.96/9.68 3352[label="Pos (Succ ww4900) :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Pos Zero) ww53",fontsize=16,color="green",shape="box"];3352 -> 3805[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3353[label="Pos Zero :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53",fontsize=16,color="green",shape="box"];3353 -> 3806[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3354[label="Pos Zero :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Pos Zero) ww53",fontsize=16,color="green",shape="box"];3354 -> 3807[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3355 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3355[label="primMulNat ww4900 (Succ ww5200)",fontsize=16,color="magenta"];3355 -> 3808[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3355 -> 3809[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3356[label="Succ ww5200",fontsize=16,color="green",shape="box"];3357[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) (Succ ww3590))",fontsize=16,color="black",shape="box"];3357 -> 3810[label="",style="solid", color="black", weight=3]; 25.96/9.68 3358[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww3180) Zero)",fontsize=16,color="black",shape="box"];3358 -> 3811[label="",style="solid", color="black", weight=3]; 25.96/9.68 3362[label="Neg (Succ ww4900) :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Neg Zero) ww53",fontsize=16,color="green",shape="box"];3362 -> 3812[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3363[label="Neg Zero :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53",fontsize=16,color="green",shape="box"];3363 -> 3813[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3364[label="Neg Zero :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Neg Zero) ww53",fontsize=16,color="green",shape="box"];3364 -> 3814[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3365[label="ww4900",fontsize=16,color="green",shape="box"];3366[label="ww5200",fontsize=16,color="green",shape="box"];3367[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero (Succ ww3490))",fontsize=16,color="black",shape="box"];3367 -> 3815[label="",style="solid", color="black", weight=3]; 25.96/9.68 3368[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="triangle"];3368 -> 3816[label="",style="solid", color="black", weight=3]; 25.96/9.68 3369[label="ww4900",fontsize=16,color="green",shape="box"];3370[label="ww5200",fontsize=16,color="green",shape="box"];3371 -> 3212[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3371[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="magenta"];3371 -> 3817[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3371 -> 3818[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3372[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3372 -> 3819[label="",style="solid", color="black", weight=3]; 25.96/9.68 3373[label="ww4900",fontsize=16,color="green",shape="box"];3374[label="ww5200",fontsize=16,color="green",shape="box"];3375 -> 3213[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3375[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="magenta"];3375 -> 3820[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3375 -> 3821[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3376[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="box"];3376 -> 3822[label="",style="solid", color="black", weight=3]; 25.96/9.68 3377[label="ww4900",fontsize=16,color="green",shape="box"];3378[label="ww5200",fontsize=16,color="green",shape="box"];3379[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero (Succ ww3550))",fontsize=16,color="black",shape="box"];3379 -> 3823[label="",style="solid", color="black", weight=3]; 25.96/9.68 3380[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="black",shape="triangle"];3380 -> 3824[label="",style="solid", color="black", weight=3]; 25.96/9.68 3176 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3176[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3176 -> 3825[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3176 -> 3826[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3175[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos ww325))",fontsize=16,color="burlywood",shape="triangle"];6391[label="ww325/Succ ww3250",fontsize=10,color="white",style="solid",shape="box"];3175 -> 6391[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6391 -> 3827[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6392[label="ww325/Zero",fontsize=10,color="white",style="solid",shape="box"];3175 -> 6392[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6392 -> 3828[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3182 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3182[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3182 -> 3829[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3182 -> 3830[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3181[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos ww329))",fontsize=16,color="burlywood",shape="triangle"];6393[label="ww329/Succ ww3290",fontsize=10,color="white",style="solid",shape="box"];3181 -> 6393[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6393 -> 3831[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6394[label="ww329/Zero",fontsize=10,color="white",style="solid",shape="box"];3181 -> 6394[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6394 -> 3832[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3187[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];3187 -> 3833[label="",style="solid", color="black", weight=3]; 25.96/9.68 3189 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3189[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3189 -> 3834[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3189 -> 3835[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3188[label="List.insertBy0 (Pos (Succ (Succ 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color="magenta", weight=3]; 25.96/9.68 3198[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww335))",fontsize=16,color="burlywood",shape="triangle"];6397[label="ww335/Succ ww3350",fontsize=10,color="white",style="solid",shape="box"];3198 -> 6397[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6397 -> 3840[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6398[label="ww335/Zero",fontsize=10,color="white",style="solid",shape="box"];3198 -> 6398[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6398 -> 3841[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3208[label="Pos (Succ Zero) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3208 -> 3842[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3210 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3210[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3210 -> 3843[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3210 -> 3844[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3209[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww337))",fontsize=16,color="burlywood",shape="triangle"];6399[label="ww337/Succ ww3370",fontsize=10,color="white",style="solid",shape="box"];3209 -> 6399[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6399 -> 3845[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6400[label="ww337/Zero",fontsize=10,color="white",style="solid",shape="box"];3209 -> 6400[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6400 -> 3846[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3224 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3224[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3224 -> 3847[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3224 -> 3848[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3223[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww341))",fontsize=16,color="burlywood",shape="triangle"];6401[label="ww341/Succ ww3410",fontsize=10,color="white",style="solid",shape="box"];3223 -> 6401[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6401 -> 3849[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6402[label="ww341/Zero",fontsize=10,color="white",style="solid",shape="box"];3223 -> 6402[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6402 -> 3850[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3247[label="Neg (Succ Zero) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3247 -> 3851[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3249 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3249[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3249 -> 3852[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3249 -> 3853[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3248[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ 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3361[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3361 -> 3861[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3361 -> 3862[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3360[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww361))",fontsize=16,color="burlywood",shape="triangle"];6407[label="ww361/Succ ww3610",fontsize=10,color="white",style="solid",shape="box"];3360 -> 6407[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6407 -> 3863[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6408[label="ww361/Zero",fontsize=10,color="white",style="solid",shape="box"];3360 -> 6408[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6408 -> 3864[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3382 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3382[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3382 -> 3865[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3382 -> 3866[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3381[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos ww365))",fontsize=16,color="burlywood",shape="triangle"];6409[label="ww365/Succ ww3650",fontsize=10,color="white",style="solid",shape="box"];3381 -> 6409[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6409 -> 3867[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6410[label="ww365/Zero",fontsize=10,color="white",style="solid",shape="box"];3381 -> 6410[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6410 -> 3868[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3383[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww19)) compare ww20 ww21 (Pos (Succ Zero) :% Neg (Succ ww19) : ww21) (primCmpNat Zero (Succ ww22))",fontsize=16,color="black",shape="box"];3383 -> 3869[label="",style="solid", color="black", weight=3]; 25.96/9.68 3385 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3385[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3385 -> 3870[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3385 -> 3871[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3384[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : 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3392 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3392[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3392 -> 3883[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3392 -> 3884[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3391[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg ww377))",fontsize=16,color="burlywood",shape="triangle"];6417[label="ww377/Succ ww3770",fontsize=10,color="white",style="solid",shape="box"];3391 -> 6417[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6417 -> 3885[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6418[label="ww377/Zero",fontsize=10,color="white",style="solid",shape="box"];3391 -> 6418[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6418 -> 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ww3790",fontsize=10,color="white",style="solid",shape="box"];3394 -> 6419[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6419 -> 3890[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6420[label="ww379/Zero",fontsize=10,color="white",style="solid",shape="box"];3394 -> 6420[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6420 -> 3891[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3397 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3397[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3397 -> 3892[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3397 -> 3893[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3396[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos 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25.96/9.68 3402[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3402 -> 3901[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3402 -> 3902[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3401[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos ww389))",fontsize=16,color="burlywood",shape="triangle"];6425[label="ww389/Succ ww3890",fontsize=10,color="white",style="solid",shape="box"];3401 -> 6425[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6425 -> 3903[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6426[label="ww389/Zero",fontsize=10,color="white",style="solid",shape="box"];3401 -> 6426[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6426 -> 3904[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3403[label="List.insertBy0 (Pos (Succ Zero) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ Zero) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];3403 -> 3905[label="",style="solid", color="black", weight=3]; 25.96/9.68 3405 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3405[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3405 -> 3906[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3405 -> 3907[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3404[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww391))",fontsize=16,color="burlywood",shape="triangle"];6427[label="ww391/Succ ww3910",fontsize=10,color="white",style="solid",shape="box"];3404 -> 6427[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6427 -> 3908[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6428[label="ww391/Zero",fontsize=10,color="white",style="solid",shape="box"];3404 -> 6428[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6428 -> 3909[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3407 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3407[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3407 -> 3910[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3407 -> 3911[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3406[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww395))",fontsize=16,color="burlywood",shape="triangle"];6429[label="ww395/Succ ww3950",fontsize=10,color="white",style="solid",shape="box"];3406 -> 6429[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6429 -> 3912[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6430[label="ww395/Zero",fontsize=10,color="white",style="solid",shape="box"];3406 -> 6430[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6430 -> 3913[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3408[label="Pos (Succ Zero) :% Neg Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3408 -> 3914[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3410 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3410[label="primPlusNat (primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3410 -> 3915[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3410 -> 3916[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3409[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww397))",fontsize=16,color="burlywood",shape="triangle"];6431[label="ww397/Succ ww3970",fontsize=10,color="white",style="solid",shape="box"];3409 -> 6431[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6431 -> 3917[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6432[label="ww397/Zero",fontsize=10,color="white",style="solid",shape="box"];3409 -> 6432[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6432 -> 3918[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3412 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3412[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3412 -> 3919[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3412 -> 3920[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3411[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg ww401))",fontsize=16,color="burlywood",shape="triangle"];6433[label="ww401/Succ ww4010",fontsize=10,color="white",style="solid",shape="box"];3411 -> 6433[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6433 -> 3921[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6434[label="ww401/Zero",fontsize=10,color="white",style="solid",shape="box"];3411 -> 6434[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6434 -> 3922[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3413[label="Neg (Succ Zero) :% Neg Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) 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25.96/9.68 6436[label="ww403/Zero",fontsize=10,color="white",style="solid",shape="box"];3414 -> 6436[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6436 -> 3927[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3417 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3417[label="primPlusNat (primPlusNat Zero (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3417 -> 3928[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3417 -> 3929[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3416[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos ww407))",fontsize=16,color="burlywood",shape="triangle"];6437[label="ww407/Succ ww4070",fontsize=10,color="white",style="solid",shape="box"];3416 -> 6437[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6437 -> 3930[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6438[label="ww407/Zero",fontsize=10,color="white",style="solid",shape="box"];3416 -> 6438[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6438 -> 3931[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3418[label="List.insertBy0 (Neg (Succ Zero) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ Zero) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];3418 -> 3932[label="",style="solid", color="black", weight=3]; 25.96/9.68 3419[label="ww2400",fontsize=16,color="green",shape="box"];3420[label="ww2700",fontsize=16,color="green",shape="box"];3421[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat ww600 ww920)",fontsize=16,color="burlywood",shape="triangle"];6439[label="ww600/Succ ww6000",fontsize=10,color="white",style="solid",shape="box"];3421 -> 6439[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6439 -> 3933[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6440[label="ww600/Zero",fontsize=10,color="white",style="solid",shape="box"];3421 -> 6440[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6440 -> 3934[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3422[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="black",shape="triangle"];3422 -> 3935[label="",style="solid", color="black", weight=3]; 25.96/9.68 3423 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3423[label="List.insertBy compare (Pos (Succ ww26) :% Pos Zero) ww28",fontsize=16,color="magenta"];3423 -> 3936[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3423 -> 3937[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3424 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3424[label="List.insertBy compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28",fontsize=16,color="magenta"];3424 -> 3938[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3424 -> 3939[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3425 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3425[label="List.insertBy compare (Pos (Succ ww26) :% Pos Zero) ww28",fontsize=16,color="magenta"];3425 -> 3940[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3425 -> 3941[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3426[label="ww2400",fontsize=16,color="green",shape="box"];3427[label="ww2700",fontsize=16,color="green",shape="box"];3428[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : 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ww28",fontsize=16,color="magenta"];3430 -> 3945[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3430 -> 3946[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3431 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3431[label="List.insertBy compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28",fontsize=16,color="magenta"];3431 -> 3947[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3431 -> 3948[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3432 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3432[label="List.insertBy compare (Pos (Succ ww26) :% Neg Zero) ww28",fontsize=16,color="magenta"];3432 -> 3949[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3432 -> 3950[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3433[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) LT",fontsize=16,color="black",shape="triangle"];3433 -> 3951[label="",style="solid", color="black", weight=3]; 25.96/9.68 3434[label="Pos (Succ ww26) :% Pos (Succ ww2700) : Pos (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];3435[label="Succ ww2400",fontsize=16,color="green",shape="box"];3436[label="Succ ww2700",fontsize=16,color="green",shape="box"];3437[label="ww28",fontsize=16,color="green",shape="box"];3438[label="ww2700",fontsize=16,color="green",shape="box"];3439[label="ww26",fontsize=16,color="green",shape="box"];3440[label="Pos (Succ ww2400) :% Pos (Succ ww25)",fontsize=16,color="green",shape="box"];3441[label="Succ ww2400",fontsize=16,color="green",shape="box"];3442[label="Succ ww2700",fontsize=16,color="green",shape="box"];3443[label="Pos (Succ ww26) :% Pos (Succ ww2700) : Neg (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];3444[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos 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3962[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3459[label="Succ ww3100",fontsize=16,color="green",shape="box"];3460[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww660)))",fontsize=16,color="black",shape="box"];3460 -> 3963[label="",style="solid", color="black", weight=3]; 25.96/9.68 3461[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3461 -> 3964[label="",style="solid", color="black", weight=3]; 25.96/9.68 3462 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3462[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3462 -> 3965[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3462 -> 3966[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3463[label="Succ ww3100",fontsize=16,color="green",shape="box"];3464[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww700)))",fontsize=16,color="black",shape="box"];3464 -> 3967[label="",style="solid", color="black", weight=3]; 25.96/9.68 3465[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3465 -> 3968[label="",style="solid", color="black", weight=3]; 25.96/9.68 3466 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3466[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3466 -> 3969[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3466 -> 3970[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3467 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3467[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3467 -> 3971[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3467 -> 3972[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3468[label="Succ ww3100",fontsize=16,color="green",shape="box"];3469[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww720)))",fontsize=16,color="black",shape="box"];3469 -> 3973[label="",style="solid", color="black", weight=3]; 25.96/9.68 3470[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3470 -> 3974[label="",style="solid", color="black", weight=3]; 25.96/9.68 3471 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3471[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3471 -> 3975[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3471 -> 3976[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3472[label="Succ ww3100",fontsize=16,color="green",shape="box"];3473[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww760)))",fontsize=16,color="black",shape="box"];3473 -> 3977[label="",style="solid", color="black", weight=3]; 25.96/9.68 3474[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3474 -> 3978[label="",style="solid", color="black", weight=3]; 25.96/9.68 3475 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3475[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3475 -> 3979[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3475 -> 3980[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3476 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3476[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3476 -> 3981[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3476 -> 3982[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3477[label="Succ ww3100",fontsize=16,color="green",shape="box"];3478[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww780)))",fontsize=16,color="black",shape="box"];3478 -> 3983[label="",style="solid", color="black", weight=3]; 25.96/9.68 3479[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3479 -> 3984[label="",style="solid", color="black", weight=3]; 25.96/9.68 3480 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3480[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3480 -> 3985[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3480 -> 3986[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3481[label="Succ ww3100",fontsize=16,color="green",shape="box"];3482[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww820)))",fontsize=16,color="black",shape="box"];3482 -> 3987[label="",style="solid", color="black", weight=3]; 25.96/9.68 3483[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3483 -> 3988[label="",style="solid", color="black", weight=3]; 25.96/9.68 3484[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ Zero) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];3485 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3485[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3485 -> 3989[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3485 -> 3990[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3486[label="Succ ww3100",fontsize=16,color="green",shape="box"];3487[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww960)))",fontsize=16,color="black",shape="box"];3487 -> 3991[label="",style="solid", color="black", weight=3]; 25.96/9.68 3488[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3488 -> 3992[label="",style="solid", color="black", weight=3]; 25.96/9.68 3489 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3489[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3489 -> 3993[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3489 -> 3994[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3490[label="Succ ww3100",fontsize=16,color="green",shape="box"];3491[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww1000)))",fontsize=16,color="black",shape="box"];3491 -> 3995[label="",style="solid", color="black", weight=3]; 25.96/9.68 3492[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3492 -> 3996[label="",style="solid", color="black", weight=3]; 25.96/9.68 3493[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ Zero) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];3494 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3494[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3494 -> 3997[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3494 -> 3998[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3495[label="Succ ww3100",fontsize=16,color="green",shape="box"];3496[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1020)))",fontsize=16,color="black",shape="box"];3496 -> 3999[label="",style="solid", color="black", weight=3]; 25.96/9.68 3497[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3497 -> 4000[label="",style="solid", color="black", weight=3]; 25.96/9.68 3498 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3498[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3498 -> 4001[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3498 -> 4002[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3499[label="Succ ww3100",fontsize=16,color="green",shape="box"];3500[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1060)))",fontsize=16,color="black",shape="box"];3500 -> 4003[label="",style="solid", color="black", weight=3]; 25.96/9.68 3501[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3501 -> 4004[label="",style="solid", color="black", weight=3]; 25.96/9.68 3502 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3502[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3502 -> 4005[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3502 -> 4006[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3503 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3503[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3503 -> 4007[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3503 -> 4008[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3504[label="Succ ww3100",fontsize=16,color="green",shape="box"];3505[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1080)))",fontsize=16,color="black",shape="box"];3505 -> 4009[label="",style="solid", color="black", weight=3]; 25.96/9.68 3506[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3506 -> 4010[label="",style="solid", color="black", weight=3]; 25.96/9.68 3507 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3507[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3507 -> 4011[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3507 -> 4012[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3508[label="Succ ww3100",fontsize=16,color="green",shape="box"];3509[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1120)))",fontsize=16,color="black",shape="box"];3509 -> 4013[label="",style="solid", color="black", weight=3]; 25.96/9.68 3510[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3510 -> 4014[label="",style="solid", color="black", weight=3]; 25.96/9.68 3511 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3511[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3511 -> 4015[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3511 -> 4016[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3512 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3512[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3512 -> 4017[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3512 -> 4018[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3513[label="Succ ww3100",fontsize=16,color="green",shape="box"];3514[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww1140)))",fontsize=16,color="black",shape="box"];3514 -> 4019[label="",style="solid", color="black", weight=3]; 25.96/9.68 3515[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero 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ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww1200)))",fontsize=16,color="black",shape="box"];3523 -> 4027[label="",style="solid", color="black", weight=3]; 25.96/9.68 3524[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3524 -> 4028[label="",style="solid", color="black", weight=3]; 25.96/9.68 3525 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3525[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3525 -> 4029[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3525 -> 4030[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3526[label="Succ ww3100",fontsize=16,color="green",shape="box"];3527[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero 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25.96/9.68 3531[label="Succ ww3100",fontsize=16,color="green",shape="box"];3532[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1260)))",fontsize=16,color="black",shape="box"];3532 -> 4035[label="",style="solid", color="black", weight=3]; 25.96/9.68 3533[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3533 -> 4036[label="",style="solid", color="black", weight=3]; 25.96/9.68 3534 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3534[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3534 -> 4037[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3534 -> 4038[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3535[label="Succ ww3100",fontsize=16,color="green",shape="box"];3536[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1300)))",fontsize=16,color="black",shape="box"];3536 -> 4039[label="",style="solid", color="black", weight=3]; 25.96/9.68 3537[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3537 -> 4040[label="",style="solid", color="black", weight=3]; 25.96/9.68 3538 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3538[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3538 -> 4041[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3538 -> 4042[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3539 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3539[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3539 -> 4043[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3539 -> 4044[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3540[label="Succ ww3100",fontsize=16,color="green",shape="box"];3541[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1320)))",fontsize=16,color="black",shape="box"];3541 -> 4045[label="",style="solid", color="black", weight=3]; 25.96/9.68 3542[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3542 -> 4046[label="",style="solid", color="black", weight=3]; 25.96/9.68 3543 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3543[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3543 -> 4047[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3543 -> 4048[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3544[label="Succ ww3100",fontsize=16,color="green",shape="box"];3545[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww1360)))",fontsize=16,color="black",shape="box"];3545 -> 4049[label="",style="solid", color="black", weight=3]; 25.96/9.68 3546[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3546 -> 4050[label="",style="solid", color="black", weight=3]; 25.96/9.68 3547 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3547[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3547 -> 4051[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3547 -> 4052[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3548 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3548[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3548 -> 4053[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3548 -> 4054[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3549[label="Succ ww3100",fontsize=16,color="green",shape="box"];3550[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww1380)))",fontsize=16,color="black",shape="box"];3550 -> 4055[label="",style="solid", color="black", weight=3]; 25.96/9.68 3551[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3551 -> 4056[label="",style="solid", color="black", weight=3]; 25.96/9.68 3552 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3552[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3552 -> 4057[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3552 -> 4058[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3553[label="Succ ww3100",fontsize=16,color="green",shape="box"];3554[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww1420)))",fontsize=16,color="black",shape="box"];3554 -> 4059[label="",style="solid", color="black", weight=3]; 25.96/9.68 3555[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3555 -> 4060[label="",style="solid", color="black", weight=3]; 25.96/9.68 4622[label="ww3100",fontsize=16,color="green",shape="box"];4623[label="ww41",fontsize=16,color="green",shape="box"];4624[label="Neg (Succ Zero) :% Pos Zero",fontsize=16,color="green",shape="box"];3557[label="ww3000",fontsize=16,color="green",shape="box"];3558[label="ww3300",fontsize=16,color="green",shape="box"];3559[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : 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ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat ww1850 ww1440)",fontsize=16,color="burlywood",shape="triangle"];6445[label="ww1850/Succ ww18500",fontsize=10,color="white",style="solid",shape="box"];3563 -> 6445[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6445 -> 4064[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6446[label="ww1850/Zero",fontsize=10,color="white",style="solid",shape="box"];3563 -> 6446[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6446 -> 4065[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3564[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="black",shape="triangle"];3564 -> 4066[label="",style="solid", color="black", weight=3]; 25.96/9.68 3565[label="Succ ww3300",fontsize=16,color="green",shape="box"];3566[label="Succ ww3000",fontsize=16,color="green",shape="box"];3567[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Pos (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];3568[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) GT",fontsize=16,color="black",shape="triangle"];3568 -> 4067[label="",style="solid", color="black", weight=3]; 25.96/9.68 3569[label="ww34",fontsize=16,color="green",shape="box"];3570[label="ww3300",fontsize=16,color="green",shape="box"];3571[label="ww32",fontsize=16,color="green",shape="box"];3572[label="Pos (Succ ww3000) :% Neg (Succ ww31)",fontsize=16,color="green",shape="box"];3573[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) GT",fontsize=16,color="black",shape="triangle"];3573 -> 4068[label="",style="solid", color="black", weight=3]; 25.96/9.68 3574[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Neg (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];3575[label="Succ ww3000",fontsize=16,color="green",shape="box"];3576[label="Succ ww3300",fontsize=16,color="green",shape="box"];3577[label="ww34",fontsize=16,color="green",shape="box"];3578[label="ww3300",fontsize=16,color="green",shape="box"];3579[label="ww32",fontsize=16,color="green",shape="box"];3580[label="Neg (Succ ww3000) :% Neg (Succ ww31)",fontsize=16,color="green",shape="box"];3581 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3581[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3581 -> 4069[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3581 -> 4070[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3582[label="Succ ww3100",fontsize=16,color="green",shape="box"];3583[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww1510)))",fontsize=16,color="black",shape="box"];3583 -> 4071[label="",style="solid", color="black", weight=3]; 25.96/9.68 3584[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3584 -> 4072[label="",style="solid", color="black", weight=3]; 25.96/9.68 3585 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3585[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3585 -> 4073[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3585 -> 4074[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3586[label="Succ ww3100",fontsize=16,color="green",shape="box"];3587[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww1550)))",fontsize=16,color="black",shape="box"];3587 -> 4075[label="",style="solid", color="black", weight=3]; 25.96/9.68 3588[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3588 -> 4076[label="",style="solid", color="black", weight=3]; 25.96/9.68 3589 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3589[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3589 -> 4077[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3589 -> 4078[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3590[label="Succ ww3100",fontsize=16,color="green",shape="box"];3591[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1570)))",fontsize=16,color="black",shape="box"];3591 -> 4079[label="",style="solid", color="black", weight=3]; 25.96/9.68 3592[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3592 -> 4080[label="",style="solid", color="black", weight=3]; 25.96/9.68 3593 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3593[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3593 -> 4081[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3593 -> 4082[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3594[label="Succ ww3100",fontsize=16,color="green",shape="box"];3595[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1610)))",fontsize=16,color="black",shape="box"];3595 -> 4083[label="",style="solid", color="black", weight=3]; 25.96/9.68 3596[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3596 -> 4084[label="",style="solid", color="black", weight=3]; 25.96/9.68 3597[label="Pos (Succ Zero) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3597 -> 4085[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3598 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3598[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3598 -> 4086[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3598 -> 4087[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3599[label="Succ ww3100",fontsize=16,color="green",shape="box"];3600[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1630)))",fontsize=16,color="black",shape="box"];3600 -> 4088[label="",style="solid", color="black", weight=3]; 25.96/9.68 3601[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3601 -> 4089[label="",style="solid", color="black", weight=3]; 25.96/9.68 3602 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3602[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3602 -> 4090[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3602 -> 4091[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3603[label="Succ ww3100",fontsize=16,color="green",shape="box"];3604[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1670)))",fontsize=16,color="black",shape="box"];3604 -> 4092[label="",style="solid", color="black", weight=3]; 25.96/9.68 3605[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3605 -> 4093[label="",style="solid", color="black", weight=3]; 25.96/9.68 3606[label="Neg (Succ Zero) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3606 -> 4094[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3607 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3607[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3607 -> 4095[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3607 -> 4096[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3608[label="Succ ww3100",fontsize=16,color="green",shape="box"];3609[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 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25.96/9.68 3617 -> 4105[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3616[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos ww409))",fontsize=16,color="burlywood",shape="triangle"];6447[label="ww409/Succ ww4090",fontsize=10,color="white",style="solid",shape="box"];3616 -> 6447[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6447 -> 4106[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6448[label="ww409/Zero",fontsize=10,color="white",style="solid",shape="box"];3616 -> 6448[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6448 -> 4107[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3619 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3619[label="primPlusNat (primPlusNat Zero (Succ ww9)) (Succ ww9)",fontsize=16,color="magenta"];3619 -> 4108[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3619 -> 4109[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3618[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos ww413))",fontsize=16,color="burlywood",shape="triangle"];6449[label="ww413/Succ ww4130",fontsize=10,color="white",style="solid",shape="box"];3618 -> 6449[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6449 -> 4110[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6450[label="ww413/Zero",fontsize=10,color="white",style="solid",shape="box"];3618 -> 6450[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6450 -> 4111[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3620[label="Pos Zero :% Pos (Succ ww9) : Pos (Succ Zero) :% Neg (Succ ww7) : ww10",fontsize=16,color="green",shape="box"];3621 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3621[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3621 -> 4112[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3621 -> 4113[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3622[label="Succ ww3100",fontsize=16,color="green",shape="box"];3623[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1870)))",fontsize=16,color="black",shape="box"];3623 -> 4114[label="",style="solid", color="black", weight=3]; 25.96/9.68 3624[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3624 -> 4115[label="",style="solid", color="black", weight=3]; 25.96/9.68 3625 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3625[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3625 -> 4116[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3625 -> 4117[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3626[label="Succ ww3100",fontsize=16,color="green",shape="box"];3627[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww1910)))",fontsize=16,color="black",shape="box"];3627 -> 4118[label="",style="solid", color="black", weight=3]; 25.96/9.68 3628[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt 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25.96/9.68 3639 -> 4131[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3640[label="Succ ww3100",fontsize=16,color="green",shape="box"];3641[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww1990)))",fontsize=16,color="black",shape="box"];3641 -> 4132[label="",style="solid", color="black", weight=3]; 25.96/9.68 3642[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3642 -> 4133[label="",style="solid", color="black", weight=3]; 25.96/9.68 3643 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3643[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3643 -> 4134[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3643 -> 4135[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3644[label="Succ ww3100",fontsize=16,color="green",shape="box"];3645[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2030)))",fontsize=16,color="black",shape="box"];3645 -> 4136[label="",style="solid", color="black", weight=3]; 25.96/9.68 3646[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3646 -> 4137[label="",style="solid", color="black", weight=3]; 25.96/9.68 4649[label="Pos Zero :% Neg (Succ ww417) : ww416 : ww418",fontsize=16,color="green",shape="box"];3647 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3647[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3647 -> 4138[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3647 -> 4139[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3648[label="Succ ww3100",fontsize=16,color="green",shape="box"];3649[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2050)))",fontsize=16,color="black",shape="box"];3649 -> 4140[label="",style="solid", color="black", weight=3]; 25.96/9.68 3650[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3650 -> 4141[label="",style="solid", color="black", weight=3]; 25.96/9.68 3651 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3651[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3651 -> 4142[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3651 -> 4143[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3652[label="Succ ww3100",fontsize=16,color="green",shape="box"];3653[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2090)))",fontsize=16,color="black",shape="box"];3653 -> 4144[label="",style="solid", color="black", weight=3]; 25.96/9.68 3654[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3654 -> 4145[label="",style="solid", color="black", weight=3]; 25.96/9.68 3655 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3655[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3655 -> 4146[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3655 -> 4147[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3656[label="Succ ww3100",fontsize=16,color="green",shape="box"];3657[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2110)))",fontsize=16,color="black",shape="box"];3657 -> 4148[label="",style="solid", color="black", weight=3]; 25.96/9.68 3658[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 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(primCmpInt (Neg Zero) (Neg (Succ ww2170)))",fontsize=16,color="black",shape="box"];3666 -> 4157[label="",style="solid", color="black", weight=3]; 25.96/9.68 3667[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3667 -> 4158[label="",style="solid", color="black", weight=3]; 25.96/9.68 3668 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3668[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3668 -> 4159[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3668 -> 4160[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3669[label="Succ ww3100",fontsize=16,color="green",shape="box"];3670[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2210)))",fontsize=16,color="black",shape="box"];3670 -> 4161[label="",style="solid", color="black", weight=3]; 25.96/9.68 3671[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3671 -> 4162[label="",style="solid", color="black", weight=3]; 25.96/9.68 3672[label="Neg (Succ Zero) :% Neg Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3672 -> 4163[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3673 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3673[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3673 -> 4164[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3673 -> 4165[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3674[label="Succ ww3100",fontsize=16,color="green",shape="box"];3675[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2230)))",fontsize=16,color="black",shape="box"];3675 -> 4166[label="",style="solid", color="black", weight=3]; 25.96/9.68 3676[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3676 -> 4167[label="",style="solid", color="black", weight=3]; 25.96/9.68 3677 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3677[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3677 -> 4168[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3677 -> 4169[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3678[label="Succ ww3100",fontsize=16,color="green",shape="box"];3679[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2270)))",fontsize=16,color="black",shape="box"];3679 -> 4170[label="",style="solid", color="black", weight=3]; 25.96/9.68 3680[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3680 -> 4171[label="",style="solid", color="black", weight=3]; 25.96/9.68 3681[label="ww4300",fontsize=16,color="green",shape="box"];3682[label="ww4600",fontsize=16,color="green",shape="box"];3683[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww2660 ww2290)",fontsize=16,color="burlywood",shape="triangle"];6451[label="ww2660/Succ ww26600",fontsize=10,color="white",style="solid",shape="box"];3683 -> 6451[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6451 -> 4172[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6452[label="ww2660/Zero",fontsize=10,color="white",style="solid",shape="box"];3683 -> 6452[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6452 -> 4173[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3684[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="triangle"];3684 -> 4174[label="",style="solid", color="black", weight=3]; 25.96/9.68 3685[label="ww4300",fontsize=16,color="green",shape="box"];3686[label="ww4600",fontsize=16,color="green",shape="box"];3687[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww2680 ww2290)",fontsize=16,color="burlywood",shape="triangle"];6453[label="ww2680/Succ ww26800",fontsize=10,color="white",style="solid",shape="box"];3687 -> 6453[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6453 -> 4175[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6454[label="ww2680/Zero",fontsize=10,color="white",style="solid",shape="box"];3687 -> 6454[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6454 -> 4176[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3688[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="black",shape="triangle"];3688 -> 4177[label="",style="solid", color="black", weight=3]; 25.96/9.68 3689[label="Succ ww4300",fontsize=16,color="green",shape="box"];3690[label="Succ ww4600",fontsize=16,color="green",shape="box"];3691[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];3692[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) GT",fontsize=16,color="black",shape="triangle"];3692 -> 4178[label="",style="solid", color="black", weight=3]; 25.96/9.68 3693[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];3694[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) GT",fontsize=16,color="black",shape="triangle"];3694 -> 4179[label="",style="solid", color="black", weight=3]; 25.96/9.68 3695[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];3696[label="Succ ww4600",fontsize=16,color="green",shape="box"];3697[label="Succ ww4300",fontsize=16,color="green",shape="box"];3698[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];3699 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3699[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3699 -> 4180[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3699 -> 4181[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3700[label="Succ ww3100",fontsize=16,color="green",shape="box"];3701[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2340)))",fontsize=16,color="black",shape="box"];3701 -> 4182[label="",style="solid", color="black", weight=3]; 25.96/9.68 3702[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3702 -> 4183[label="",style="solid", color="black", weight=3]; 25.96/9.68 3703 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3703[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3703 -> 4184[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3703 -> 4185[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3704[label="Succ ww3100",fontsize=16,color="green",shape="box"];3705[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2380)))",fontsize=16,color="black",shape="box"];3705 -> 4186[label="",style="solid", color="black", weight=3]; 25.96/9.68 3706[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3706 -> 4187[label="",style="solid", color="black", weight=3]; 25.96/9.68 3707 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3707[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3707 -> 4188[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3707 -> 4189[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3708[label="Succ ww3100",fontsize=16,color="green",shape="box"];3709[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2400)))",fontsize=16,color="black",shape="box"];3709 -> 4190[label="",style="solid", color="black", weight=3]; 25.96/9.68 3710[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3710 -> 4191[label="",style="solid", color="black", weight=3]; 25.96/9.68 3711 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3711[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3711 -> 4192[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3711 -> 4193[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3712[label="Succ ww3100",fontsize=16,color="green",shape="box"];3713[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2440)))",fontsize=16,color="black",shape="box"];3713 -> 4194[label="",style="solid", color="black", weight=3]; 25.96/9.68 3714[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3714 -> 4195[label="",style="solid", color="black", weight=3]; 25.96/9.68 3715[label="Pos (Succ Zero) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3715 -> 4196[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3716 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3716[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3716 -> 4197[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3716 -> 4198[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3717[label="Succ ww3100",fontsize=16,color="green",shape="box"];3718[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2460)))",fontsize=16,color="black",shape="box"];3718 -> 4199[label="",style="solid", color="black", weight=3]; 25.96/9.68 3719[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3719 -> 4200[label="",style="solid", color="black", weight=3]; 25.96/9.68 3720 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3720[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3720 -> 4201[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3720 -> 4202[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3721[label="Succ ww3100",fontsize=16,color="green",shape="box"];3722[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2500)))",fontsize=16,color="black",shape="box"];3722 -> 4203[label="",style="solid", color="black", weight=3]; 25.96/9.68 3723[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3723 -> 4204[label="",style="solid", color="black", weight=3]; 25.96/9.68 3724[label="Neg (Succ Zero) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3724 -> 4205[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3725 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3725[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3725 -> 4206[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3725 -> 4207[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3726[label="Succ ww3100",fontsize=16,color="green",shape="box"];3727[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2520)))",fontsize=16,color="black",shape="box"];3727 -> 4208[label="",style="solid", color="black", weight=3]; 25.96/9.68 3728[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3728 -> 4209[label="",style="solid", color="black", weight=3]; 25.96/9.68 3729 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3729[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3729 -> 4210[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3729 -> 4211[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3730[label="Succ ww3100",fontsize=16,color="green",shape="box"];3731[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2560)))",fontsize=16,color="black",shape="box"];3731 -> 4212[label="",style="solid", color="black", weight=3]; 25.96/9.68 3732[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3732 -> 4213[label="",style="solid", color="black", weight=3]; 25.96/9.68 3733 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3733[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3733 -> 4214[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3733 -> 4215[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3734[label="Succ ww3100",fontsize=16,color="green",shape="box"];3735[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2700)))",fontsize=16,color="black",shape="box"];3735 -> 4216[label="",style="solid", color="black", weight=3]; 25.96/9.68 3736[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3736 -> 4217[label="",style="solid", color="black", weight=3]; 25.96/9.68 3737 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3737[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3737 -> 4218[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3737 -> 4219[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3738[label="Succ ww3100",fontsize=16,color="green",shape="box"];3739[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2740)))",fontsize=16,color="black",shape="box"];3739 -> 4220[label="",style="solid", color="black", weight=3]; 25.96/9.68 3740[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3740 -> 4221[label="",style="solid", color="black", weight=3]; 25.96/9.68 3741 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3741[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3741 -> 4222[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3741 -> 4223[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3742[label="Succ ww3100",fontsize=16,color="green",shape="box"];3743[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2760)))",fontsize=16,color="black",shape="box"];3743 -> 4224[label="",style="solid", color="black", weight=3]; 25.96/9.68 3744[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3744 -> 4225[label="",style="solid", color="black", weight=3]; 25.96/9.68 3745 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3745[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3745 -> 4226[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3745 -> 4227[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3746[label="Succ ww3100",fontsize=16,color="green",shape="box"];3747[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2800)))",fontsize=16,color="black",shape="box"];3747 -> 4228[label="",style="solid", color="black", weight=3]; 25.96/9.68 3748[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3748 -> 4229[label="",style="solid", color="black", weight=3]; 25.96/9.68 3749[label="Pos (Succ Zero) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3749 -> 4230[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3750 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3750[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3750 -> 4231[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3750 -> 4232[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3751[label="Succ ww3100",fontsize=16,color="green",shape="box"];3752[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2820)))",fontsize=16,color="black",shape="box"];3752 -> 4233[label="",style="solid", color="black", weight=3]; 25.96/9.68 3753[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3753 -> 4234[label="",style="solid", color="black", weight=3]; 25.96/9.68 3754 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3754[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3754 -> 4235[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3754 -> 4236[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3755[label="Succ ww3100",fontsize=16,color="green",shape="box"];3756[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww2860)))",fontsize=16,color="black",shape="box"];3756 -> 4237[label="",style="solid", color="black", weight=3]; 25.96/9.68 3757[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3757 -> 4238[label="",style="solid", color="black", weight=3]; 25.96/9.68 3758[label="Neg (Succ Zero) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3758 -> 4239[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3759 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3759[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3759 -> 4240[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3759 -> 4241[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3760[label="Succ ww3100",fontsize=16,color="green",shape="box"];3761[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2880)))",fontsize=16,color="black",shape="box"];3761 -> 4242[label="",style="solid", color="black", weight=3]; 25.96/9.68 3762[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3762 -> 4243[label="",style="solid", color="black", weight=3]; 25.96/9.68 3763 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3763[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3763 -> 4244[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3763 -> 4245[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3764[label="Succ ww3100",fontsize=16,color="green",shape="box"];3765[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2920)))",fontsize=16,color="black",shape="box"];3765 -> 4246[label="",style="solid", color="black", weight=3]; 25.96/9.68 3766[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3766 -> 4247[label="",style="solid", color="black", weight=3]; 25.96/9.68 3767 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3767[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3767 -> 4248[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3767 -> 4249[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3768[label="Succ ww3100",fontsize=16,color="green",shape="box"];3769[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2940)))",fontsize=16,color="black",shape="box"];3769 -> 4250[label="",style="solid", color="black", weight=3]; 25.96/9.68 3770[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3770 -> 4251[label="",style="solid", color="black", weight=3]; 25.96/9.68 3771 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3771[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3771 -> 4252[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3771 -> 4253[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3772[label="Succ ww3100",fontsize=16,color="green",shape="box"];3773[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww2980)))",fontsize=16,color="black",shape="box"];3773 -> 4254[label="",style="solid", color="black", weight=3]; 25.96/9.68 3774[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3774 -> 4255[label="",style="solid", color="black", weight=3]; 25.96/9.68 3775 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3775[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3775 -> 4256[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3775 -> 4257[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3776[label="Succ ww3100",fontsize=16,color="green",shape="box"];3777[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3000)))",fontsize=16,color="black",shape="box"];3777 -> 4258[label="",style="solid", color="black", weight=3]; 25.96/9.68 3778[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3778 -> 4259[label="",style="solid", color="black", weight=3]; 25.96/9.68 3779 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3779[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3779 -> 4260[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3779 -> 4261[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3780[label="Succ ww3100",fontsize=16,color="green",shape="box"];3781[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3040)))",fontsize=16,color="black",shape="box"];3781 -> 4262[label="",style="solid", color="black", weight=3]; 25.96/9.68 3782[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3782 -> 4263[label="",style="solid", color="black", weight=3]; 25.96/9.68 3783[label="Pos (Succ Zero) :% Pos Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3783 -> 4264[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3784 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3784[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3784 -> 4265[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3784 -> 4266[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3785[label="Succ ww3100",fontsize=16,color="green",shape="box"];3786[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3060)))",fontsize=16,color="black",shape="box"];3786 -> 4267[label="",style="solid", color="black", weight=3]; 25.96/9.68 3787[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3787 -> 4268[label="",style="solid", color="black", weight=3]; 25.96/9.68 3788 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3788[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3788 -> 4269[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3788 -> 4270[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3789[label="Succ ww3100",fontsize=16,color="green",shape="box"];3790[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg (Succ ww3100)))",fontsize=16,color="black",shape="box"];3790 -> 4271[label="",style="solid", color="black", weight=3]; 25.96/9.68 3791[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3791 -> 4272[label="",style="solid", color="black", weight=3]; 25.96/9.68 3792[label="Neg (Succ Zero) :% Pos Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];3792 -> 4273[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3793 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3793[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3793 -> 4274[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3793 -> 4275[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3794[label="Succ ww3100",fontsize=16,color="green",shape="box"];3795[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3120)))",fontsize=16,color="black",shape="box"];3795 -> 4276[label="",style="solid", color="black", weight=3]; 25.96/9.68 3796[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3796 -> 4277[label="",style="solid", color="black", weight=3]; 25.96/9.68 3797 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3797[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3797 -> 4278[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3797 -> 4279[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3798[label="Succ ww3100",fontsize=16,color="green",shape="box"];3799[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos (Succ ww3160)))",fontsize=16,color="black",shape="box"];3799 -> 4280[label="",style="solid", color="black", weight=3]; 25.96/9.68 3800[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3800 -> 4281[label="",style="solid", color="black", weight=3]; 25.96/9.68 3801[label="ww4900",fontsize=16,color="green",shape="box"];3802[label="ww5200",fontsize=16,color="green",shape="box"];3803[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat ww3180 ww3570)",fontsize=16,color="burlywood",shape="triangle"];6455[label="ww3180/Succ ww31800",fontsize=10,color="white",style="solid",shape="box"];3803 -> 6455[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6455 -> 4282[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6456[label="ww3180/Zero",fontsize=10,color="white",style="solid",shape="box"];3803 -> 6456[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6456 -> 4283[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3804[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="triangle"];3804 -> 4284[label="",style="solid", color="black", weight=3]; 25.96/9.68 3805 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3805[label="List.insertBy compare (Neg (Succ ww51) :% Pos Zero) ww53",fontsize=16,color="magenta"];3805 -> 4285[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3805 -> 4286[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3806 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3806[label="List.insertBy compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53",fontsize=16,color="magenta"];3806 -> 4287[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3806 -> 4288[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3807 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3807[label="List.insertBy compare (Neg (Succ ww51) :% Pos Zero) ww53",fontsize=16,color="magenta"];3807 -> 4289[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3807 -> 4290[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3808[label="ww4900",fontsize=16,color="green",shape="box"];3809[label="ww5200",fontsize=16,color="green",shape="box"];3810[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat ww3180 ww3590)",fontsize=16,color="burlywood",shape="triangle"];6457[label="ww3180/Succ ww31800",fontsize=10,color="white",style="solid",shape="box"];3810 -> 6457[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6457 -> 4291[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6458[label="ww3180/Zero",fontsize=10,color="white",style="solid",shape="box"];3810 -> 6458[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6458 -> 4292[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3811[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="black",shape="triangle"];3811 -> 4293[label="",style="solid", color="black", weight=3]; 25.96/9.68 3812 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3812[label="List.insertBy compare (Neg (Succ ww51) :% Neg Zero) ww53",fontsize=16,color="magenta"];3812 -> 4294[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3812 -> 4295[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3813 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3813[label="List.insertBy compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53",fontsize=16,color="magenta"];3813 -> 4296[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3813 -> 4297[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3814 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3814[label="List.insertBy compare (Neg (Succ ww51) :% Neg Zero) ww53",fontsize=16,color="magenta"];3814 -> 4298[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3814 -> 4299[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3815[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) LT",fontsize=16,color="black",shape="triangle"];3815 -> 4300[label="",style="solid", color="black", weight=3]; 25.96/9.68 3816[label="Neg (Succ ww51) :% Pos (Succ ww5200) : Pos (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3817[label="Succ ww4900",fontsize=16,color="green",shape="box"];3818[label="Succ ww5200",fontsize=16,color="green",shape="box"];3819[label="Neg (Succ ww51) :% Neg (Succ ww5200) : Pos (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3820[label="Succ ww5200",fontsize=16,color="green",shape="box"];3821[label="Succ ww4900",fontsize=16,color="green",shape="box"];3822[label="Neg (Succ ww51) :% Pos (Succ ww5200) : Neg (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3823[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) LT",fontsize=16,color="black",shape="triangle"];3823 -> 4301[label="",style="solid", color="black", weight=3]; 25.96/9.68 3824[label="Neg (Succ ww51) :% Neg (Succ ww5200) : Neg (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];3825 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3825[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3825 -> 4302[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3825 -> 4303[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3826[label="Succ ww3100",fontsize=16,color="green",shape="box"];3827[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3250)))",fontsize=16,color="black",shape="box"];3827 -> 4304[label="",style="solid", color="black", weight=3]; 25.96/9.68 3828[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3828 -> 4305[label="",style="solid", color="black", weight=3]; 25.96/9.68 3829 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3829[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3829 -> 4306[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3829 -> 4307[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3830[label="Succ ww3100",fontsize=16,color="green",shape="box"];3831[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3290)))",fontsize=16,color="black",shape="box"];3831 -> 4308[label="",style="solid", color="black", weight=3]; 25.96/9.68 3832[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3832 -> 4309[label="",style="solid", color="black", weight=3]; 25.96/9.68 3833[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ Zero) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];3834 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3834[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3834 -> 4310[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3834 -> 4311[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3835[label="Succ ww3100",fontsize=16,color="green",shape="box"];3836[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3310)))",fontsize=16,color="black",shape="box"];3836 -> 4312[label="",style="solid", color="black", weight=3]; 25.96/9.68 3837[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3837 -> 4313[label="",style="solid", color="black", weight=3]; 25.96/9.68 3838 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3838[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3838 -> 4314[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3838 -> 4315[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3839[label="Succ ww3100",fontsize=16,color="green",shape="box"];3840[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3350)))",fontsize=16,color="black",shape="box"];3840 -> 4316[label="",style="solid", color="black", weight=3]; 25.96/9.68 3841[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3841 -> 4317[label="",style="solid", color="black", weight=3]; 25.96/9.68 3842 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3842[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3842 -> 4318[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3842 -> 4319[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3843 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3843[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3843 -> 4320[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3843 -> 4321[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3844[label="Succ ww3100",fontsize=16,color="green",shape="box"];3845[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3370)))",fontsize=16,color="black",shape="box"];3845 -> 4322[label="",style="solid", color="black", weight=3]; 25.96/9.68 3846[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3846 -> 4323[label="",style="solid", color="black", weight=3]; 25.96/9.68 3847 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3847[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3847 -> 4324[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3847 -> 4325[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3848[label="Succ ww3100",fontsize=16,color="green",shape="box"];3849[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3410)))",fontsize=16,color="black",shape="box"];3849 -> 4326[label="",style="solid", color="black", weight=3]; 25.96/9.68 3850[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3850 -> 4327[label="",style="solid", color="black", weight=3]; 25.96/9.68 3851 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3851[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3851 -> 4328[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3851 -> 4329[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3852 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3852[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3852 -> 4330[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3852 -> 4331[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3853[label="Succ ww3100",fontsize=16,color="green",shape="box"];3854[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3430)))",fontsize=16,color="black",shape="box"];3854 -> 4332[label="",style="solid", color="black", weight=3]; 25.96/9.68 3855[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3855 -> 4333[label="",style="solid", color="black", weight=3]; 25.96/9.68 3856 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3856[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3856 -> 4334[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3856 -> 4335[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3857[label="Succ ww3100",fontsize=16,color="green",shape="box"];3858[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3470)))",fontsize=16,color="black",shape="box"];3858 -> 4336[label="",style="solid", color="black", weight=3]; 25.96/9.68 3859[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) 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(primCmpInt (Pos Zero) (Pos (Succ ww3610)))",fontsize=16,color="black",shape="box"];3863 -> 4340[label="",style="solid", color="black", weight=3]; 25.96/9.68 3864[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3864 -> 4341[label="",style="solid", color="black", weight=3]; 25.96/9.68 3865 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3865[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3865 -> 4342[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3865 -> 4343[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3866[label="Succ ww3100",fontsize=16,color="green",shape="box"];3867[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3650)))",fontsize=16,color="black",shape="box"];3867 -> 4344[label="",style="solid", color="black", weight=3]; 25.96/9.68 3868[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3868 -> 4345[label="",style="solid", color="black", weight=3]; 25.96/9.68 3869[label="List.insertBy0 (Pos (Succ Zero) :% Neg (Succ ww19)) compare ww20 ww21 (Pos (Succ Zero) :% Neg (Succ ww19) : ww21) LT",fontsize=16,color="black",shape="box"];3869 -> 4346[label="",style="solid", color="black", weight=3]; 25.96/9.68 3870 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3870[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3870 -> 4347[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3870 -> 4348[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3871[label="Succ ww3100",fontsize=16,color="green",shape="box"];3872[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3670)))",fontsize=16,color="black",shape="box"];3872 -> 4349[label="",style="solid", color="black", weight=3]; 25.96/9.68 3873[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3873 -> 4350[label="",style="solid", color="black", weight=3]; 25.96/9.68 3874 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3874[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3874 -> 4351[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3874 -> 4352[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3875[label="Succ ww3100",fontsize=16,color="green",shape="box"];3876[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3710)))",fontsize=16,color="black",shape="box"];3876 -> 4353[label="",style="solid", color="black", weight=3]; 25.96/9.68 3877[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3877 -> 4354[label="",style="solid", color="black", weight=3]; 25.96/9.68 3878 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3878[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3878 -> 4355[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3878 -> 4356[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3879 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3879[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3879 -> 4357[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3879 -> 4358[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3880[label="Succ ww3100",fontsize=16,color="green",shape="box"];3881[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3730)))",fontsize=16,color="black",shape="box"];3881 -> 4359[label="",style="solid", color="black", weight=3]; 25.96/9.68 3882[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3882 -> 4360[label="",style="solid", color="black", weight=3]; 25.96/9.68 3883 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3883[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3883 -> 4361[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3883 -> 4362[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3884[label="Succ ww3100",fontsize=16,color="green",shape="box"];3885[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3770)))",fontsize=16,color="black",shape="box"];3885 -> 4363[label="",style="solid", color="black", weight=3]; 25.96/9.68 3886[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3886 -> 4364[label="",style="solid", color="black", weight=3]; 25.96/9.68 3887 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3887[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3887 -> 4365[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3887 -> 4366[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3888 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3888[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3888 -> 4367[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3888 -> 4368[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3889[label="Succ ww3100",fontsize=16,color="green",shape="box"];3890[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3790)))",fontsize=16,color="black",shape="box"];3890 -> 4369[label="",style="solid", color="black", weight=3]; 25.96/9.68 3891[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3891 -> 4370[label="",style="solid", color="black", weight=3]; 25.96/9.68 3892 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3892[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3892 -> 4371[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3892 -> 4372[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3893[label="Succ ww3100",fontsize=16,color="green",shape="box"];3894[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3830)))",fontsize=16,color="black",shape="box"];3894 -> 4373[label="",style="solid", color="black", weight=3]; 25.96/9.68 3895[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3895 -> 4374[label="",style="solid", color="black", weight=3]; 25.96/9.68 3896[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ Zero) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];3897 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3897[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3897 -> 4375[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3897 -> 4376[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3898[label="Succ ww3100",fontsize=16,color="green",shape="box"];3899[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww3850)))",fontsize=16,color="black",shape="box"];3899 -> 4377[label="",style="solid", color="black", weight=3]; 25.96/9.68 3900[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg 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color="black", weight=3]; 25.96/9.68 3909[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3909 -> 4386[label="",style="solid", color="black", weight=3]; 25.96/9.68 3910 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3910[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3910 -> 4387[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3910 -> 4388[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3911[label="Succ ww3100",fontsize=16,color="green",shape="box"];3912[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3950)))",fontsize=16,color="black",shape="box"];3912 -> 4389[label="",style="solid", color="black", weight=3]; 25.96/9.68 3913[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3913 -> 4390[label="",style="solid", color="black", weight=3]; 25.96/9.68 3914 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3914[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];3914 -> 4391[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3914 -> 4392[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3915 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3915[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3915 -> 4393[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3915 -> 4394[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3916[label="Succ ww3100",fontsize=16,color="green",shape="box"];3917[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww3970)))",fontsize=16,color="black",shape="box"];3917 -> 4395[label="",style="solid", color="black", weight=3]; 25.96/9.68 3918[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3918 -> 4396[label="",style="solid", color="black", weight=3]; 25.96/9.68 3919 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3919[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3919 -> 4397[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3919 -> 4398[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3920[label="Succ ww3100",fontsize=16,color="green",shape="box"];3921[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg (Succ ww4010)))",fontsize=16,color="black",shape="box"];3921 -> 4399[label="",style="solid", color="black", weight=3]; 25.96/9.68 3922[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];3922 -> 4400[label="",style="solid", color="black", weight=3]; 25.96/9.68 3923 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3923[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];3923 -> 4401[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3923 -> 4402[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3924 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3924[label="primPlusNat (primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3924 -> 4403[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3924 -> 4404[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3925[label="Succ ww3100",fontsize=16,color="green",shape="box"];3926[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww4030)))",fontsize=16,color="black",shape="box"];3926 -> 4405[label="",style="solid", color="black", weight=3]; 25.96/9.68 3927[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];3927 -> 4406[label="",style="solid", color="black", weight=3]; 25.96/9.68 3928 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3928[label="primPlusNat Zero (Succ ww3100)",fontsize=16,color="magenta"];3928 -> 4407[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3928 -> 4408[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3929[label="Succ ww3100",fontsize=16,color="green",shape="box"];3930[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt (Pos Zero) (Pos (Succ ww4070)))",fontsize=16,color="black",shape="box"];3930 -> 4409[label="",style="solid", color="black", weight=3]; 25.96/9.68 3931[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpInt 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(Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero ww920)",fontsize=16,color="burlywood",shape="box"];6461[label="ww920/Succ ww9200",fontsize=10,color="white",style="solid",shape="box"];3934 -> 6461[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6461 -> 4413[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6462[label="ww920/Zero",fontsize=10,color="white",style="solid",shape="box"];3934 -> 6462[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6462 -> 4414[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3935[label="Pos (Succ ww2400) :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28",fontsize=16,color="green",shape="box"];3935 -> 4415[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3936[label="ww28",fontsize=16,color="green",shape="box"];3937[label="Pos (Succ ww26) :% 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4417[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3943[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero ww940)",fontsize=16,color="burlywood",shape="box"];6465[label="ww940/Succ ww9400",fontsize=10,color="white",style="solid",shape="box"];3943 -> 6465[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6465 -> 4418[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6466[label="ww940/Zero",fontsize=10,color="white",style="solid",shape="box"];3943 -> 6466[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6466 -> 4419[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 3944[label="Neg (Succ ww2400) :% Pos (Succ ww25) : List.insertBy compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28",fontsize=16,color="green",shape="box"];3944 -> 4420[label="",style="dashed", color="green", weight=3]; 25.96/9.68 3945[label="ww28",fontsize=16,color="green",shape="box"];3946[label="Pos (Succ ww26) :% Neg Zero",fontsize=16,color="green",shape="box"];3947[label="ww28",fontsize=16,color="green",shape="box"];3948[label="Pos (Succ ww26) :% Neg (Succ ww2700)",fontsize=16,color="green",shape="box"];3949[label="ww28",fontsize=16,color="green",shape="box"];3950[label="Pos (Succ ww26) :% Neg Zero",fontsize=16,color="green",shape="box"];3951[label="Pos (Succ ww26) :% Pos (Succ ww2700) : Pos (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];3952[label="Pos (Succ ww26) :% Neg (Succ ww2700) : Neg (Succ ww2400) :% Pos (Succ ww25) : ww28",fontsize=16,color="green",shape="box"];3953 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3953[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3953 -> 4421[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3953 -> 4422[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3954[label="Succ ww3100",fontsize=16,color="green",shape="box"];3955[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww610))",fontsize=16,color="black",shape="box"];3955 -> 4423[label="",style="solid", color="black", weight=3]; 25.96/9.68 3956[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];3956 -> 4424[label="",style="solid", color="black", weight=3]; 25.96/9.68 3957[label="Zero",fontsize=16,color="green",shape="box"];3958[label="Succ ww3100",fontsize=16,color="green",shape="box"];3959[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww640))",fontsize=16,color="black",shape="box"];3959 -> 4425[label="",style="solid", color="black", weight=3]; 25.96/9.68 3960[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];3960 -> 4426[label="",style="solid", color="black", weight=3]; 25.96/9.68 3961 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3961[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3961 -> 4427[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3961 -> 4428[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3962[label="Succ ww3100",fontsize=16,color="green",shape="box"];3963[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3963 -> 4429[label="",style="solid", color="black", weight=3]; 25.96/9.68 3964 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3964[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];3964 -> 4430[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3964 -> 4431[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3964 -> 4432[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3964 -> 4433[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3965[label="Zero",fontsize=16,color="green",shape="box"];3966[label="Succ ww3100",fontsize=16,color="green",shape="box"];3967[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3967 -> 4434[label="",style="solid", color="black", weight=3]; 25.96/9.68 3968 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3968[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];3968 -> 4435[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3968 -> 4436[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3968 -> 4437[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3968 -> 4438[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3969[label="ww41",fontsize=16,color="green",shape="box"];3970[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];3971 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3971[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3971 -> 4439[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3971 -> 4440[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3972[label="Succ ww3100",fontsize=16,color="green",shape="box"];3973[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3973 -> 4441[label="",style="solid", color="black", weight=3]; 25.96/9.68 3974[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];3974 -> 4442[label="",style="solid", color="black", weight=3]; 25.96/9.68 3975[label="Zero",fontsize=16,color="green",shape="box"];3976[label="Succ ww3100",fontsize=16,color="green",shape="box"];3977[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];3977 -> 4443[label="",style="solid", color="black", weight=3]; 25.96/9.68 3978[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];3978 -> 4444[label="",style="solid", color="black", weight=3]; 25.96/9.68 3979[label="ww41",fontsize=16,color="green",shape="box"];3980[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];3981 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3981[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3981 -> 4445[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3981 -> 4446[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3982[label="Succ ww3100",fontsize=16,color="green",shape="box"];3983[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww780))",fontsize=16,color="black",shape="box"];3983 -> 4447[label="",style="solid", color="black", weight=3]; 25.96/9.68 3984 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3984[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];3984 -> 4448[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3984 -> 4449[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3984 -> 4450[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3984 -> 4451[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3985[label="Zero",fontsize=16,color="green",shape="box"];3986[label="Succ ww3100",fontsize=16,color="green",shape="box"];3987[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww820))",fontsize=16,color="black",shape="box"];3987 -> 4452[label="",style="solid", color="black", weight=3]; 25.96/9.68 3988 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3988[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="magenta"];3988 -> 4453[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3988 -> 4454[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3988 -> 4455[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3988 -> 4456[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3989 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3989[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3989 -> 4457[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3989 -> 4458[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3990[label="Succ ww3100",fontsize=16,color="green",shape="box"];3991[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww960))",fontsize=16,color="black",shape="box"];3991 -> 4459[label="",style="solid", color="black", weight=3]; 25.96/9.68 3992[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];3992 -> 4460[label="",style="solid", color="black", weight=3]; 25.96/9.68 3993[label="Zero",fontsize=16,color="green",shape="box"];3994[label="Succ ww3100",fontsize=16,color="green",shape="box"];3995[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww1000))",fontsize=16,color="black",shape="box"];3995 -> 4461[label="",style="solid", color="black", weight=3]; 25.96/9.68 3996[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];3996 -> 4462[label="",style="solid", color="black", weight=3]; 25.96/9.68 3997 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 3997[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];3997 -> 4463[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3997 -> 4464[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 3998[label="Succ ww3100",fontsize=16,color="green",shape="box"];3999[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];3999 -> 4465[label="",style="solid", color="black", weight=3]; 25.96/9.68 4000[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4000 -> 4466[label="",style="solid", color="black", weight=3]; 25.96/9.68 4001[label="Zero",fontsize=16,color="green",shape="box"];4002[label="Succ ww3100",fontsize=16,color="green",shape="box"];4003[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4003 -> 4467[label="",style="solid", color="black", weight=3]; 25.96/9.68 4004[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4004 -> 4468[label="",style="solid", color="black", weight=3]; 25.96/9.68 4005[label="ww41",fontsize=16,color="green",shape="box"];4006[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4007 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4007[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4007 -> 4469[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4007 -> 4470[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4008[label="Succ ww3100",fontsize=16,color="green",shape="box"];4009[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4009 -> 4471[label="",style="solid", color="black", weight=3]; 25.96/9.68 4010[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4010 -> 4472[label="",style="solid", color="black", weight=3]; 25.96/9.68 4011[label="Zero",fontsize=16,color="green",shape="box"];4012[label="Succ ww3100",fontsize=16,color="green",shape="box"];4013[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4013 -> 4473[label="",style="solid", color="black", weight=3]; 25.96/9.68 4014[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4014 -> 4474[label="",style="solid", color="black", weight=3]; 25.96/9.68 4015[label="ww41",fontsize=16,color="green",shape="box"];4016[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4017 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4017[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4017 -> 4475[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4017 -> 4476[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4018[label="Succ ww3100",fontsize=16,color="green",shape="box"];4019[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww1140))",fontsize=16,color="black",shape="box"];4019 -> 4477[label="",style="solid", color="black", weight=3]; 25.96/9.68 4020[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4020 -> 4478[label="",style="solid", color="black", weight=3]; 25.96/9.68 4021[label="Zero",fontsize=16,color="green",shape="box"];4022[label="Succ ww3100",fontsize=16,color="green",shape="box"];4023[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww1180))",fontsize=16,color="black",shape="box"];4023 -> 4479[label="",style="solid", color="black", weight=3]; 25.96/9.68 4024[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4024 -> 4480[label="",style="solid", color="black", weight=3]; 25.96/9.68 4025 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4025[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4025 -> 4481[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4025 -> 4482[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4026[label="Succ ww3100",fontsize=16,color="green",shape="box"];4027[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww1200))",fontsize=16,color="black",shape="box"];4027 -> 4483[label="",style="solid", color="black", weight=3]; 25.96/9.68 4028[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4028 -> 4484[label="",style="solid", color="black", weight=3]; 25.96/9.68 4029[label="Zero",fontsize=16,color="green",shape="box"];4030[label="Succ ww3100",fontsize=16,color="green",shape="box"];4031[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww1240))",fontsize=16,color="black",shape="box"];4031 -> 4485[label="",style="solid", color="black", weight=3]; 25.96/9.68 4032[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4032 -> 4486[label="",style="solid", color="black", weight=3]; 25.96/9.68 4033 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4033[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4033 -> 4487[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4033 -> 4488[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4034[label="Succ ww3100",fontsize=16,color="green",shape="box"];4035[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4035 -> 4489[label="",style="solid", color="black", weight=3]; 25.96/9.68 4036[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4036 -> 4490[label="",style="solid", color="black", weight=3]; 25.96/9.68 4037[label="Zero",fontsize=16,color="green",shape="box"];4038[label="Succ ww3100",fontsize=16,color="green",shape="box"];4039[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4039 -> 4491[label="",style="solid", color="black", weight=3]; 25.96/9.68 4040[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4040 -> 4492[label="",style="solid", color="black", weight=3]; 25.96/9.68 4041[label="ww41",fontsize=16,color="green",shape="box"];4042[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4043 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4043[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4043 -> 4493[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4043 -> 4494[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4044[label="Succ ww3100",fontsize=16,color="green",shape="box"];4045[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4045 -> 4495[label="",style="solid", color="black", weight=3]; 25.96/9.68 4046[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4046 -> 4496[label="",style="solid", color="black", weight=3]; 25.96/9.68 4047[label="Zero",fontsize=16,color="green",shape="box"];4048[label="Succ ww3100",fontsize=16,color="green",shape="box"];4049[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4049 -> 4497[label="",style="solid", color="black", weight=3]; 25.96/9.68 4050[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4050 -> 4498[label="",style="solid", color="black", weight=3]; 25.96/9.68 4051[label="ww41",fontsize=16,color="green",shape="box"];4052[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4053 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4053[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4053 -> 4499[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4053 -> 4500[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4054[label="Succ ww3100",fontsize=16,color="green",shape="box"];4055[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww1380))",fontsize=16,color="black",shape="box"];4055 -> 4501[label="",style="solid", color="black", weight=3]; 25.96/9.68 4056[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4056 -> 4502[label="",style="solid", color="black", weight=3]; 25.96/9.68 4057[label="Zero",fontsize=16,color="green",shape="box"];4058[label="Succ ww3100",fontsize=16,color="green",shape="box"];4059[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat Zero (Succ ww1420))",fontsize=16,color="black",shape="box"];4059 -> 4503[label="",style="solid", color="black", weight=3]; 25.96/9.68 4060[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4060 -> 4504[label="",style="solid", color="black", weight=3]; 25.96/9.68 4061[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18300) ww1440)",fontsize=16,color="burlywood",shape="box"];6467[label="ww1440/Succ ww14400",fontsize=10,color="white",style="solid",shape="box"];4061 -> 6467[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6467 -> 4505[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6468[label="ww1440/Zero",fontsize=10,color="white",style="solid",shape="box"];4061 -> 6468[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6468 -> 4506[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4062[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero ww1440)",fontsize=16,color="burlywood",shape="box"];6469[label="ww1440/Succ ww14400",fontsize=10,color="white",style="solid",shape="box"];4062 -> 6469[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6469 -> 4507[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6470[label="ww1440/Zero",fontsize=10,color="white",style="solid",shape="box"];4062 -> 6470[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6470 -> 4508[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4063[label="Pos (Succ ww32) :% Neg (Succ ww3300) : Pos (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];4064[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18500) ww1440)",fontsize=16,color="burlywood",shape="box"];6471[label="ww1440/Succ ww14400",fontsize=10,color="white",style="solid",shape="box"];4064 -> 6471[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6471 -> 4509[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6472[label="ww1440/Zero",fontsize=10,color="white",style="solid",shape="box"];4064 -> 6472[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6472 -> 4510[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4065[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero ww1440)",fontsize=16,color="burlywood",shape="box"];6473[label="ww1440/Succ ww14400",fontsize=10,color="white",style="solid",shape="box"];4065 -> 6473[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6473 -> 4511[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6474[label="ww1440/Zero",fontsize=10,color="white",style="solid",shape="box"];4065 -> 6474[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6474 -> 4512[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4066[label="Pos (Succ ww32) :% Pos (Succ ww3300) : Neg (Succ ww3000) :% Neg (Succ ww31) : ww34",fontsize=16,color="green",shape="box"];4067[label="Pos (Succ ww3000) :% Neg (Succ ww31) : List.insertBy compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34",fontsize=16,color="green",shape="box"];4067 -> 4513[label="",style="dashed", color="green", weight=3]; 25.96/9.68 4068[label="Neg (Succ ww3000) :% Neg (Succ ww31) : List.insertBy compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34",fontsize=16,color="green",shape="box"];4068 -> 4514[label="",style="dashed", color="green", weight=3]; 25.96/9.68 4069 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4069[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4069 -> 4515[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4069 -> 4516[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4070[label="Succ ww3100",fontsize=16,color="green",shape="box"];4071[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4071 -> 4517[label="",style="solid", color="black", weight=3]; 25.96/9.68 4072[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4072 -> 4518[label="",style="solid", color="black", weight=3]; 25.96/9.68 4073[label="Zero",fontsize=16,color="green",shape="box"];4074[label="Succ ww3100",fontsize=16,color="green",shape="box"];4075[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4075 -> 4519[label="",style="solid", color="black", weight=3]; 25.96/9.68 4076[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4076 -> 4520[label="",style="solid", color="black", weight=3]; 25.96/9.68 4077 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4077[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4077 -> 4521[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4077 -> 4522[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4078[label="Succ ww3100",fontsize=16,color="green",shape="box"];4079[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat (Succ ww1570) Zero)",fontsize=16,color="black",shape="box"];4079 -> 4523[label="",style="solid", color="black", weight=3]; 25.96/9.68 4080 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4080[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];4080 -> 4524[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4080 -> 4525[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4080 -> 4526[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4080 -> 4527[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4081[label="Zero",fontsize=16,color="green",shape="box"];4082[label="Succ ww3100",fontsize=16,color="green",shape="box"];4083[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat (Succ ww1610) Zero)",fontsize=16,color="black",shape="box"];4083 -> 4528[label="",style="solid", color="black", weight=3]; 25.96/9.68 4084 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4084[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];4084 -> 4529[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4084 -> 4530[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4084 -> 4531[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4084 -> 4532[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4085 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4085[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4085 -> 4533[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4085 -> 4534[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4086 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4086[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4086 -> 4535[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4086 -> 4536[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4087[label="Succ ww3100",fontsize=16,color="green",shape="box"];4088[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat (Succ ww1630) Zero)",fontsize=16,color="black",shape="box"];4088 -> 4537[label="",style="solid", color="black", weight=3]; 25.96/9.68 4089[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4089 -> 4538[label="",style="solid", color="black", weight=3]; 25.96/9.68 4090[label="Zero",fontsize=16,color="green",shape="box"];4091[label="Succ ww3100",fontsize=16,color="green",shape="box"];4092[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat (Succ ww1670) Zero)",fontsize=16,color="black",shape="box"];4092 -> 4539[label="",style="solid", color="black", weight=3]; 25.96/9.68 4093[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4093 -> 4540[label="",style="solid", color="black", weight=3]; 25.96/9.68 4094 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4094[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4094 -> 4541[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4094 -> 4542[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4095 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4095[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4095 -> 4543[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4095 -> 4544[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4096[label="Succ ww3100",fontsize=16,color="green",shape="box"];4097[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4097 -> 4545[label="",style="solid", color="black", weight=3]; 25.96/9.68 4098 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4098[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];4098 -> 4546[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4098 -> 4547[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4098 -> 4548[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4098 -> 4549[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4099[label="Zero",fontsize=16,color="green",shape="box"];4100[label="Succ ww3100",fontsize=16,color="green",shape="box"];4101[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4101 -> 4550[label="",style="solid", color="black", weight=3]; 25.96/9.68 4102 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4102[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="magenta"];4102 -> 4551[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4102 -> 4552[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4102 -> 4553[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4102 -> 4554[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4103[label="primCmpInt (ww160 * ww171) (ww170 * ww161)",fontsize=16,color="black",shape="box"];4103 -> 4555[label="",style="solid", color="black", weight=3]; 25.96/9.68 4104 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4104[label="primPlusNat (primPlusNat (primMulNat ww600 (Succ ww9)) (Succ ww9)) (Succ ww9)",fontsize=16,color="magenta"];4104 -> 4556[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4104 -> 4557[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4105[label="Succ ww9",fontsize=16,color="green",shape="box"];4106[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (Succ ww4090)))",fontsize=16,color="black",shape="box"];4106 -> 4558[label="",style="solid", color="black", weight=3]; 25.96/9.68 4107[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];4107 -> 4559[label="",style="solid", color="black", weight=3]; 25.96/9.68 4108 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4108[label="primPlusNat Zero (Succ ww9)",fontsize=16,color="magenta"];4108 -> 4560[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4108 -> 4561[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4109[label="Succ ww9",fontsize=16,color="green",shape="box"];4110[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos (Succ ww4130)))",fontsize=16,color="black",shape="box"];4110 -> 4562[label="",style="solid", color="black", weight=3]; 25.96/9.68 4111[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) (primCmpInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];4111 -> 4563[label="",style="solid", color="black", weight=3]; 25.96/9.68 4112 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4112[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4112 -> 4564[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4112 -> 4565[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4113[label="Succ ww3100",fontsize=16,color="green",shape="box"];4114[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpNat (Succ ww1870) Zero)",fontsize=16,color="black",shape="box"];4114 -> 4566[label="",style="solid", color="black", weight=3]; 25.96/9.68 4115[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4115 -> 4567[label="",style="solid", color="black", weight=3]; 25.96/9.68 4116[label="Zero",fontsize=16,color="green",shape="box"];4117[label="Succ ww3100",fontsize=16,color="green",shape="box"];4118[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpNat (Succ ww1910) Zero)",fontsize=16,color="black",shape="box"];4118 -> 4568[label="",style="solid", color="black", weight=3]; 25.96/9.68 4119[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4119 -> 4569[label="",style="solid", color="black", weight=3]; 25.96/9.68 4120 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4120[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4120 -> 4570[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4120 -> 4571[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4121 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4121[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4121 -> 4572[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4121 -> 4573[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4122[label="Succ ww3100",fontsize=16,color="green",shape="box"];4123[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpNat (Succ ww1930) Zero)",fontsize=16,color="black",shape="box"];4123 -> 4574[label="",style="solid", color="black", weight=3]; 25.96/9.68 4124[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4124 -> 4575[label="",style="solid", color="black", weight=3]; 25.96/9.68 4125[label="Zero",fontsize=16,color="green",shape="box"];4126[label="Succ ww3100",fontsize=16,color="green",shape="box"];4127[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpNat (Succ ww1970) Zero)",fontsize=16,color="black",shape="box"];4127 -> 4576[label="",style="solid", color="black", weight=3]; 25.96/9.68 4128[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4128 -> 4577[label="",style="solid", color="black", weight=3]; 25.96/9.68 4129 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4129[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4129 -> 4578[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4129 -> 4579[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4130 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4130[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4130 -> 4580[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4130 -> 4581[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4131[label="Succ ww3100",fontsize=16,color="green",shape="box"];4132 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4132[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="magenta"];4132 -> 4625[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4132 -> 4626[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4132 -> 4627[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4133[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4133 -> 4583[label="",style="solid", color="black", weight=3]; 25.96/9.68 4134[label="Zero",fontsize=16,color="green",shape="box"];4135[label="Succ ww3100",fontsize=16,color="green",shape="box"];4136 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4136[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="magenta"];4136 -> 4628[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4136 -> 4629[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4136 -> 4630[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4137[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4137 -> 4585[label="",style="solid", color="black", weight=3]; 25.96/9.68 4138 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4138[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4138 -> 4586[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4138 -> 4587[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4139[label="Succ ww3100",fontsize=16,color="green",shape="box"];4140[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4140 -> 4588[label="",style="solid", color="black", weight=3]; 25.96/9.68 4141[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4141 -> 4589[label="",style="solid", color="black", weight=3]; 25.96/9.68 4142[label="Zero",fontsize=16,color="green",shape="box"];4143[label="Succ ww3100",fontsize=16,color="green",shape="box"];4144[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4144 -> 4590[label="",style="solid", color="black", weight=3]; 25.96/9.68 4145[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4145 -> 4591[label="",style="solid", color="black", weight=3]; 25.96/9.68 4146 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4146[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4146 -> 4592[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4146 -> 4593[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4147[label="Succ ww3100",fontsize=16,color="green",shape="box"];4148[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat (Succ ww2110) Zero)",fontsize=16,color="black",shape="box"];4148 -> 4594[label="",style="solid", color="black", weight=3]; 25.96/9.68 4149[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4149 -> 4595[label="",style="solid", color="black", weight=3]; 25.96/9.68 4150[label="Zero",fontsize=16,color="green",shape="box"];4151[label="Succ ww3100",fontsize=16,color="green",shape="box"];4152[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat (Succ ww2150) Zero)",fontsize=16,color="black",shape="box"];4152 -> 4596[label="",style="solid", color="black", weight=3]; 25.96/9.68 4153[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4153 -> 4597[label="",style="solid", color="black", weight=3]; 25.96/9.68 4154 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4154[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4154 -> 4598[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4154 -> 4599[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4155 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4155[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4155 -> 4600[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4155 -> 4601[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4156[label="Succ ww3100",fontsize=16,color="green",shape="box"];4157[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat (Succ ww2170) Zero)",fontsize=16,color="black",shape="box"];4157 -> 4602[label="",style="solid", color="black", weight=3]; 25.96/9.68 4158[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4158 -> 4603[label="",style="solid", color="black", weight=3]; 25.96/9.68 4159[label="Zero",fontsize=16,color="green",shape="box"];4160[label="Succ ww3100",fontsize=16,color="green",shape="box"];4161[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat (Succ ww2210) Zero)",fontsize=16,color="black",shape="box"];4161 -> 4604[label="",style="solid", color="black", weight=3]; 25.96/9.68 4162[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4162 -> 4605[label="",style="solid", color="black", weight=3]; 25.96/9.68 4163 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4163[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4163 -> 4606[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4163 -> 4607[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4164 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4164[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4164 -> 4608[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4164 -> 4609[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4165[label="Succ ww3100",fontsize=16,color="green",shape="box"];4166 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4166[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="magenta"];4166 -> 4631[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4166 -> 4632[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4166 -> 4633[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4167[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4167 -> 4611[label="",style="solid", color="black", weight=3]; 25.96/9.68 4168[label="Zero",fontsize=16,color="green",shape="box"];4169[label="Succ ww3100",fontsize=16,color="green",shape="box"];4170 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4170[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="magenta"];4170 -> 4634[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4170 -> 4635[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4170 -> 4636[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4171[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4171 -> 4650[label="",style="solid", color="black", weight=3]; 25.96/9.68 4172[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26600) ww2290)",fontsize=16,color="burlywood",shape="box"];6475[label="ww2290/Succ ww22900",fontsize=10,color="white",style="solid",shape="box"];4172 -> 6475[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6475 -> 4651[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6476[label="ww2290/Zero",fontsize=10,color="white",style="solid",shape="box"];4172 -> 6476[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6476 -> 4652[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4173[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero ww2290)",fontsize=16,color="burlywood",shape="box"];6477[label="ww2290/Succ ww22900",fontsize=10,color="white",style="solid",shape="box"];4173 -> 6477[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6477 -> 4653[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6478[label="ww2290/Zero",fontsize=10,color="white",style="solid",shape="box"];4173 -> 6478[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6478 -> 4654[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4174[label="Neg (Succ ww45) :% Neg (Succ ww4600) : Pos (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];4175[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26800) ww2290)",fontsize=16,color="burlywood",shape="box"];6479[label="ww2290/Succ ww22900",fontsize=10,color="white",style="solid",shape="box"];4175 -> 6479[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6479 -> 4655[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6480[label="ww2290/Zero",fontsize=10,color="white",style="solid",shape="box"];4175 -> 6480[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6480 -> 4656[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4176[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero ww2290)",fontsize=16,color="burlywood",shape="box"];6481[label="ww2290/Succ ww22900",fontsize=10,color="white",style="solid",shape="box"];4176 -> 6481[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6481 -> 4657[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6482[label="ww2290/Zero",fontsize=10,color="white",style="solid",shape="box"];4176 -> 6482[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6482 -> 4658[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4177[label="Neg (Succ ww45) :% Pos (Succ ww4600) : Neg (Succ ww4300) :% Pos (Succ ww44) : ww47",fontsize=16,color="green",shape="box"];4178[label="Pos (Succ ww4300) :% Pos (Succ ww44) : List.insertBy compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47",fontsize=16,color="green",shape="box"];4178 -> 4659[label="",style="dashed", color="green", weight=3]; 25.96/9.68 4179[label="Neg (Succ ww4300) :% Pos (Succ ww44) : List.insertBy compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47",fontsize=16,color="green",shape="box"];4179 -> 4660[label="",style="dashed", color="green", weight=3]; 25.96/9.68 4180 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4180[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4180 -> 4661[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4180 -> 4662[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4181[label="Succ ww3100",fontsize=16,color="green",shape="box"];4182[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4182 -> 4663[label="",style="solid", color="black", weight=3]; 25.96/9.68 4183[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4183 -> 4664[label="",style="solid", color="black", weight=3]; 25.96/9.68 4184[label="Zero",fontsize=16,color="green",shape="box"];4185[label="Succ ww3100",fontsize=16,color="green",shape="box"];4186[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4186 -> 4665[label="",style="solid", color="black", weight=3]; 25.96/9.68 4187[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4187 -> 4666[label="",style="solid", color="black", weight=3]; 25.96/9.68 4188 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4188[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4188 -> 4667[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4188 -> 4668[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4189[label="Succ ww3100",fontsize=16,color="green",shape="box"];4190[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat (Succ ww2400) Zero)",fontsize=16,color="black",shape="box"];4190 -> 4669[label="",style="solid", color="black", weight=3]; 25.96/9.68 4191[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4191 -> 4670[label="",style="solid", color="black", weight=3]; 25.96/9.68 4192[label="Zero",fontsize=16,color="green",shape="box"];4193[label="Succ ww3100",fontsize=16,color="green",shape="box"];4194[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat (Succ ww2440) Zero)",fontsize=16,color="black",shape="box"];4194 -> 4671[label="",style="solid", color="black", weight=3]; 25.96/9.68 4195[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4195 -> 4672[label="",style="solid", color="black", weight=3]; 25.96/9.68 4196 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4196[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4196 -> 4673[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4196 -> 4674[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4197 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4197[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4197 -> 4675[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4197 -> 4676[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4198[label="Succ ww3100",fontsize=16,color="green",shape="box"];4199[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat (Succ ww2460) Zero)",fontsize=16,color="black",shape="box"];4199 -> 4677[label="",style="solid", color="black", weight=3]; 25.96/9.68 4200[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4200 -> 4678[label="",style="solid", color="black", weight=3]; 25.96/9.68 4201[label="Zero",fontsize=16,color="green",shape="box"];4202[label="Succ ww3100",fontsize=16,color="green",shape="box"];4203[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat (Succ ww2500) Zero)",fontsize=16,color="black",shape="box"];4203 -> 4679[label="",style="solid", color="black", weight=3]; 25.96/9.68 4204[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4204 -> 4680[label="",style="solid", color="black", weight=3]; 25.96/9.68 4205 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4205[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4205 -> 4681[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4205 -> 4682[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4206 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4206[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4206 -> 4683[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4206 -> 4684[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4207[label="Succ ww3100",fontsize=16,color="green",shape="box"];4208[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4208 -> 4685[label="",style="solid", color="black", weight=3]; 25.96/9.68 4209[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4209 -> 4686[label="",style="solid", color="black", weight=3]; 25.96/9.68 4210[label="Zero",fontsize=16,color="green",shape="box"];4211[label="Succ ww3100",fontsize=16,color="green",shape="box"];4212[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4212 -> 4687[label="",style="solid", color="black", weight=3]; 25.96/9.68 4213[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4213 -> 4688[label="",style="solid", color="black", weight=3]; 25.96/9.68 4214 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4214[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4214 -> 4689[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4214 -> 4690[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4215[label="Succ ww3100",fontsize=16,color="green",shape="box"];4216[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4216 -> 4691[label="",style="solid", color="black", weight=3]; 25.96/9.68 4217[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4217 -> 4692[label="",style="solid", color="black", weight=3]; 25.96/9.68 4218[label="Zero",fontsize=16,color="green",shape="box"];4219[label="Succ ww3100",fontsize=16,color="green",shape="box"];4220[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4220 -> 4693[label="",style="solid", color="black", weight=3]; 25.96/9.68 4221[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4221 -> 4694[label="",style="solid", color="black", weight=3]; 25.96/9.68 4222 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4222[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4222 -> 4695[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4222 -> 4696[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4223[label="Succ ww3100",fontsize=16,color="green",shape="box"];4224[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww2760) Zero)",fontsize=16,color="black",shape="box"];4224 -> 4697[label="",style="solid", color="black", weight=3]; 25.96/9.68 4225[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4225 -> 4698[label="",style="solid", color="black", weight=3]; 25.96/9.68 4226[label="Zero",fontsize=16,color="green",shape="box"];4227[label="Succ ww3100",fontsize=16,color="green",shape="box"];4228[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww2800) Zero)",fontsize=16,color="black",shape="box"];4228 -> 4699[label="",style="solid", color="black", weight=3]; 25.96/9.68 4229[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4229 -> 4700[label="",style="solid", color="black", weight=3]; 25.96/9.68 4230 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4230[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4230 -> 4701[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4230 -> 4702[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4231 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4231[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4231 -> 4703[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4231 -> 4704[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4232[label="Succ ww3100",fontsize=16,color="green",shape="box"];4233[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww2820) Zero)",fontsize=16,color="black",shape="box"];4233 -> 4705[label="",style="solid", color="black", weight=3]; 25.96/9.68 4234[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4234 -> 4706[label="",style="solid", color="black", weight=3]; 25.96/9.68 4235[label="Zero",fontsize=16,color="green",shape="box"];4236[label="Succ ww3100",fontsize=16,color="green",shape="box"];4237[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) (primCmpNat (Succ ww2860) Zero)",fontsize=16,color="black",shape="box"];4237 -> 4707[label="",style="solid", color="black", weight=3]; 25.96/9.68 4238[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4238 -> 4708[label="",style="solid", color="black", weight=3]; 25.96/9.68 4239 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4239[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4239 -> 4709[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4239 -> 4710[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4240 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4240[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4240 -> 4711[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4240 -> 4712[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4241[label="Succ ww3100",fontsize=16,color="green",shape="box"];4242[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4242 -> 4713[label="",style="solid", color="black", weight=3]; 25.96/9.68 4243[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4243 -> 4714[label="",style="solid", color="black", weight=3]; 25.96/9.68 4244[label="Zero",fontsize=16,color="green",shape="box"];4245[label="Succ ww3100",fontsize=16,color="green",shape="box"];4246[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4246 -> 4715[label="",style="solid", color="black", weight=3]; 25.96/9.68 4247[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4247 -> 4716[label="",style="solid", color="black", weight=3]; 25.96/9.68 4248 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4248[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4248 -> 4717[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4248 -> 4718[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4249[label="Succ ww3100",fontsize=16,color="green",shape="box"];4250[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4250 -> 4719[label="",style="solid", color="black", weight=3]; 25.96/9.68 4251[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4251 -> 4720[label="",style="solid", color="black", weight=3]; 25.96/9.68 4252[label="Zero",fontsize=16,color="green",shape="box"];4253[label="Succ ww3100",fontsize=16,color="green",shape="box"];4254[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4254 -> 4721[label="",style="solid", color="black", weight=3]; 25.96/9.68 4255[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4255 -> 4722[label="",style="solid", color="black", weight=3]; 25.96/9.68 4256 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4256[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4256 -> 4723[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4256 -> 4724[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4257[label="Succ ww3100",fontsize=16,color="green",shape="box"];4258[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat (Succ ww3000) Zero)",fontsize=16,color="black",shape="box"];4258 -> 4725[label="",style="solid", color="black", weight=3]; 25.96/9.68 4259[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4259 -> 4726[label="",style="solid", color="black", weight=3]; 25.96/9.68 4260[label="Zero",fontsize=16,color="green",shape="box"];4261[label="Succ ww3100",fontsize=16,color="green",shape="box"];4262[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat (Succ ww3040) Zero)",fontsize=16,color="black",shape="box"];4262 -> 4727[label="",style="solid", color="black", weight=3]; 25.96/9.68 4263[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4263 -> 4728[label="",style="solid", color="black", weight=3]; 25.96/9.68 4264 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4264[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4264 -> 4729[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4264 -> 4730[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4265 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4265[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4265 -> 4731[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4265 -> 4732[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4266[label="Succ ww3100",fontsize=16,color="green",shape="box"];4267[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) (primCmpNat (Succ ww3060) Zero)",fontsize=16,color="black",shape="box"];4267 -> 4733[label="",style="solid", color="black", weight=3]; 25.96/9.68 4268[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4268 -> 4734[label="",style="solid", color="black", weight=3]; 25.96/9.68 4269[label="Zero",fontsize=16,color="green",shape="box"];4270[label="Succ ww3100",fontsize=16,color="green",shape="box"];4271[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) (primCmpNat (Succ ww3100) Zero)",fontsize=16,color="black",shape="box"];4271 -> 4735[label="",style="solid", color="black", weight=3]; 25.96/9.68 4272[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4272 -> 4736[label="",style="solid", color="black", weight=3]; 25.96/9.68 4273 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4273[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4273 -> 4737[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4273 -> 4738[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4274 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.68 4274[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4274 -> 4739[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4274 -> 4740[label="",style="dashed", color="magenta", weight=3]; 25.96/9.68 4275[label="Succ ww3100",fontsize=16,color="green",shape="box"];4276[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4276 -> 4741[label="",style="solid", color="black", weight=3]; 25.96/9.68 4277[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4277 -> 4742[label="",style="solid", color="black", weight=3]; 25.96/9.68 4278[label="Zero",fontsize=16,color="green",shape="box"];4279[label="Succ ww3100",fontsize=16,color="green",shape="box"];4280[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4280 -> 4743[label="",style="solid", color="black", weight=3]; 25.96/9.68 4281[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4281 -> 4744[label="",style="solid", color="black", weight=3]; 25.96/9.68 4282[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) ww3570)",fontsize=16,color="burlywood",shape="box"];6483[label="ww3570/Succ ww35700",fontsize=10,color="white",style="solid",shape="box"];4282 -> 6483[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6483 -> 4745[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6484[label="ww3570/Zero",fontsize=10,color="white",style="solid",shape="box"];4282 -> 6484[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6484 -> 4746[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4283[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero ww3570)",fontsize=16,color="burlywood",shape="box"];6485[label="ww3570/Succ ww35700",fontsize=10,color="white",style="solid",shape="box"];4283 -> 6485[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6485 -> 4747[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 6486[label="ww3570/Zero",fontsize=10,color="white",style="solid",shape="box"];4283 -> 6486[label="",style="solid", color="burlywood", weight=9]; 25.96/9.68 6486 -> 4748[label="",style="solid", color="burlywood", weight=3]; 25.96/9.68 4284[label="Pos (Succ ww4900) :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53",fontsize=16,color="green",shape="box"];4284 -> 4749[label="",style="dashed", color="green", weight=3]; 25.96/9.68 4285[label="ww53",fontsize=16,color="green",shape="box"];4286[label="Neg (Succ ww51) :% Pos Zero",fontsize=16,color="green",shape="box"];4287[label="ww53",fontsize=16,color="green",shape="box"];4288[label="Neg (Succ ww51) :% Pos (Succ ww5200)",fontsize=16,color="green",shape="box"];4289[label="ww53",fontsize=16,color="green",shape="box"];4290[label="Neg (Succ ww51) :% Pos Zero",fontsize=16,color="green",shape="box"];4291[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) ww3590)",fontsize=16,color="burlywood",shape="box"];6487[label="ww3590/Succ ww35900",fontsize=10,color="white",style="solid",shape="box"];4291 -> 6487[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6487 -> 4750[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6488[label="ww3590/Zero",fontsize=10,color="white",style="solid",shape="box"];4291 -> 6488[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6488 -> 4751[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 4292[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero ww3590)",fontsize=16,color="burlywood",shape="box"];6489[label="ww3590/Succ ww35900",fontsize=10,color="white",style="solid",shape="box"];4292 -> 6489[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6489 -> 4752[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6490[label="ww3590/Zero",fontsize=10,color="white",style="solid",shape="box"];4292 -> 6490[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6490 -> 4753[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 4293[label="Neg (Succ ww4900) :% Neg (Succ ww50) : List.insertBy compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53",fontsize=16,color="green",shape="box"];4293 -> 4754[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4294[label="ww53",fontsize=16,color="green",shape="box"];4295[label="Neg (Succ ww51) :% Neg Zero",fontsize=16,color="green",shape="box"];4296[label="ww53",fontsize=16,color="green",shape="box"];4297[label="Neg (Succ ww51) :% Neg (Succ ww5200)",fontsize=16,color="green",shape="box"];4298[label="ww53",fontsize=16,color="green",shape="box"];4299[label="Neg (Succ ww51) :% Neg Zero",fontsize=16,color="green",shape="box"];4300[label="Neg (Succ ww51) :% Pos (Succ ww5200) : Pos (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];4301[label="Neg (Succ ww51) :% Neg (Succ ww5200) : Neg (Succ ww4900) :% Neg (Succ ww50) : ww53",fontsize=16,color="green",shape="box"];4302 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4302[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4302 -> 4755[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4302 -> 4756[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4303[label="Succ ww3100",fontsize=16,color="green",shape="box"];4304[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3250))",fontsize=16,color="black",shape="box"];4304 -> 4757[label="",style="solid", color="black", weight=3]; 25.96/9.69 4305[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4305 -> 4758[label="",style="solid", color="black", weight=3]; 25.96/9.69 4306[label="Zero",fontsize=16,color="green",shape="box"];4307[label="Succ ww3100",fontsize=16,color="green",shape="box"];4308[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3290))",fontsize=16,color="black",shape="box"];4308 -> 4759[label="",style="solid", color="black", weight=3]; 25.96/9.69 4309[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4309 -> 4760[label="",style="solid", color="black", weight=3]; 25.96/9.69 4310 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4310[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4310 -> 4761[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4310 -> 4762[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4311[label="Succ ww3100",fontsize=16,color="green",shape="box"];4312[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4312 -> 4763[label="",style="solid", color="black", weight=3]; 25.96/9.69 4313[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4313 -> 4764[label="",style="solid", color="black", weight=3]; 25.96/9.69 4314[label="Zero",fontsize=16,color="green",shape="box"];4315[label="Succ ww3100",fontsize=16,color="green",shape="box"];4316[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4316 -> 4765[label="",style="solid", color="black", weight=3]; 25.96/9.69 4317[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4317 -> 4766[label="",style="solid", color="black", weight=3]; 25.96/9.69 4318[label="ww41",fontsize=16,color="green",shape="box"];4319[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4320 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4320[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4320 -> 4767[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4320 -> 4768[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4321[label="Succ ww3100",fontsize=16,color="green",shape="box"];4322[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4322 -> 4769[label="",style="solid", color="black", weight=3]; 25.96/9.69 4323[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4323 -> 4770[label="",style="solid", color="black", weight=3]; 25.96/9.69 4324[label="Zero",fontsize=16,color="green",shape="box"];4325[label="Succ ww3100",fontsize=16,color="green",shape="box"];4326[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4326 -> 4771[label="",style="solid", color="black", weight=3]; 25.96/9.69 4327[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4327 -> 4772[label="",style="solid", color="black", weight=3]; 25.96/9.69 4328[label="ww41",fontsize=16,color="green",shape="box"];4329[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4330 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4330[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4330 -> 4773[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4330 -> 4774[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4331[label="Succ ww3100",fontsize=16,color="green",shape="box"];4332[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3430))",fontsize=16,color="black",shape="box"];4332 -> 4775[label="",style="solid", color="black", weight=3]; 25.96/9.69 4333[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4333 -> 4776[label="",style="solid", color="black", weight=3]; 25.96/9.69 4334[label="Zero",fontsize=16,color="green",shape="box"];4335[label="Succ ww3100",fontsize=16,color="green",shape="box"];4336[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3470))",fontsize=16,color="black",shape="box"];4336 -> 4777[label="",style="solid", color="black", weight=3]; 25.96/9.69 4337[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4337 -> 4778[label="",style="solid", color="black", weight=3]; 25.96/9.69 4338 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4338[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4338 -> 4779[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4338 -> 4780[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4339[label="Succ ww3100",fontsize=16,color="green",shape="box"];4340[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww3610))",fontsize=16,color="black",shape="box"];4340 -> 4781[label="",style="solid", color="black", weight=3]; 25.96/9.69 4341[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4341 -> 4782[label="",style="solid", color="black", weight=3]; 25.96/9.69 4342[label="Zero",fontsize=16,color="green",shape="box"];4343[label="Succ ww3100",fontsize=16,color="green",shape="box"];4344[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww3650))",fontsize=16,color="black",shape="box"];4344 -> 4783[label="",style="solid", color="black", weight=3]; 25.96/9.69 4345[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4345 -> 4784[label="",style="solid", color="black", weight=3]; 25.96/9.69 4346[label="ww20 : Pos (Succ Zero) :% Neg (Succ ww19) : ww21",fontsize=16,color="green",shape="box"];4347 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4347[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4347 -> 4785[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4347 -> 4786[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4348[label="Succ ww3100",fontsize=16,color="green",shape="box"];4349[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4349 -> 4787[label="",style="solid", color="black", weight=3]; 25.96/9.69 4350[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4350 -> 4788[label="",style="solid", color="black", weight=3]; 25.96/9.69 4351[label="Zero",fontsize=16,color="green",shape="box"];4352[label="Succ ww3100",fontsize=16,color="green",shape="box"];4353[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4353 -> 4789[label="",style="solid", color="black", weight=3]; 25.96/9.69 4354[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4354 -> 4790[label="",style="solid", color="black", weight=3]; 25.96/9.69 4355[label="ww41",fontsize=16,color="green",shape="box"];4356[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4357 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4357[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4357 -> 4791[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4357 -> 4792[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4358[label="Succ ww3100",fontsize=16,color="green",shape="box"];4359[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4359 -> 4793[label="",style="solid", color="black", weight=3]; 25.96/9.69 4360[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4360 -> 4794[label="",style="solid", color="black", weight=3]; 25.96/9.69 4361[label="Zero",fontsize=16,color="green",shape="box"];4362[label="Succ ww3100",fontsize=16,color="green",shape="box"];4363[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4363 -> 4795[label="",style="solid", color="black", weight=3]; 25.96/9.69 4364[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4364 -> 4796[label="",style="solid", color="black", weight=3]; 25.96/9.69 4365[label="ww41",fontsize=16,color="green",shape="box"];4366[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4367 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4367[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4367 -> 4797[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4367 -> 4798[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4368[label="Succ ww3100",fontsize=16,color="green",shape="box"];4369[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww3790))",fontsize=16,color="black",shape="box"];4369 -> 4799[label="",style="solid", color="black", weight=3]; 25.96/9.69 4370[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4370 -> 4800[label="",style="solid", color="black", weight=3]; 25.96/9.69 4371[label="Zero",fontsize=16,color="green",shape="box"];4372[label="Succ ww3100",fontsize=16,color="green",shape="box"];4373[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) (primCmpNat Zero (Succ ww3830))",fontsize=16,color="black",shape="box"];4373 -> 4801[label="",style="solid", color="black", weight=3]; 25.96/9.69 4374[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) EQ",fontsize=16,color="black",shape="box"];4374 -> 4802[label="",style="solid", color="black", weight=3]; 25.96/9.69 4375 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4375[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4375 -> 4803[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4375 -> 4804[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4376[label="Succ ww3100",fontsize=16,color="green",shape="box"];4377[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3850))",fontsize=16,color="black",shape="box"];4377 -> 4805[label="",style="solid", color="black", weight=3]; 25.96/9.69 4378[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4378 -> 4806[label="",style="solid", color="black", weight=3]; 25.96/9.69 4379[label="Zero",fontsize=16,color="green",shape="box"];4380[label="Succ ww3100",fontsize=16,color="green",shape="box"];4381[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww3890))",fontsize=16,color="black",shape="box"];4381 -> 4807[label="",style="solid", color="black", weight=3]; 25.96/9.69 4382[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4382 -> 4808[label="",style="solid", color="black", weight=3]; 25.96/9.69 4383 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4383[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4383 -> 4809[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4383 -> 4810[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4384[label="Succ ww3100",fontsize=16,color="green",shape="box"];4385[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4385 -> 4811[label="",style="solid", color="black", weight=3]; 25.96/9.69 4386[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4386 -> 4812[label="",style="solid", color="black", weight=3]; 25.96/9.69 4387[label="Zero",fontsize=16,color="green",shape="box"];4388[label="Succ ww3100",fontsize=16,color="green",shape="box"];4389[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4389 -> 4813[label="",style="solid", color="black", weight=3]; 25.96/9.69 4390[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4390 -> 4814[label="",style="solid", color="black", weight=3]; 25.96/9.69 4391[label="ww41",fontsize=16,color="green",shape="box"];4392[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4393 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4393[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4393 -> 4815[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4393 -> 4816[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4394[label="Succ ww3100",fontsize=16,color="green",shape="box"];4395[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4395 -> 4817[label="",style="solid", color="black", weight=3]; 25.96/9.69 4396[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4396 -> 4818[label="",style="solid", color="black", weight=3]; 25.96/9.69 4397[label="Zero",fontsize=16,color="green",shape="box"];4398[label="Succ ww3100",fontsize=16,color="green",shape="box"];4399[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4399 -> 4819[label="",style="solid", color="black", weight=3]; 25.96/9.69 4400[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4400 -> 4820[label="",style="solid", color="black", weight=3]; 25.96/9.69 4401[label="ww41",fontsize=16,color="green",shape="box"];4402[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4403 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4403[label="primPlusNat (primMulNat ww4000000 (Succ ww3100)) (Succ ww3100)",fontsize=16,color="magenta"];4403 -> 4821[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4403 -> 4822[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4404[label="Succ ww3100",fontsize=16,color="green",shape="box"];4405[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww4030))",fontsize=16,color="black",shape="box"];4405 -> 4823[label="",style="solid", color="black", weight=3]; 25.96/9.69 4406[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4406 -> 4824[label="",style="solid", color="black", weight=3]; 25.96/9.69 4407[label="Zero",fontsize=16,color="green",shape="box"];4408[label="Succ ww3100",fontsize=16,color="green",shape="box"];4409[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) (primCmpNat Zero (Succ ww4070))",fontsize=16,color="black",shape="box"];4409 -> 4825[label="",style="solid", color="black", weight=3]; 25.96/9.69 4410[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) EQ",fontsize=16,color="black",shape="box"];4410 -> 4826[label="",style="solid", color="black", weight=3]; 25.96/9.69 4411[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww6000) (Succ ww9200))",fontsize=16,color="black",shape="box"];4411 -> 4827[label="",style="solid", color="black", weight=3]; 25.96/9.69 4412[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww6000) Zero)",fontsize=16,color="black",shape="box"];4412 -> 4828[label="",style="solid", color="black", weight=3]; 25.96/9.69 4413[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero (Succ ww9200))",fontsize=16,color="black",shape="box"];4413 -> 4829[label="",style="solid", color="black", weight=3]; 25.96/9.69 4414[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4414 -> 4830[label="",style="solid", color="black", weight=3]; 25.96/9.69 4415 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4415[label="List.insertBy compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28",fontsize=16,color="magenta"];4415 -> 4831[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4415 -> 4832[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4416[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww6000) (Succ ww9400))",fontsize=16,color="black",shape="box"];4416 -> 4833[label="",style="solid", color="black", weight=3]; 25.96/9.69 4417[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat (Succ ww6000) Zero)",fontsize=16,color="black",shape="box"];4417 -> 4834[label="",style="solid", color="black", weight=3]; 25.96/9.69 4418[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero (Succ ww9400))",fontsize=16,color="black",shape="box"];4418 -> 4835[label="",style="solid", color="black", weight=3]; 25.96/9.69 4419[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4419 -> 4836[label="",style="solid", color="black", weight=3]; 25.96/9.69 4420 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4420[label="List.insertBy compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28",fontsize=16,color="magenta"];4420 -> 4837[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4420 -> 4838[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4421 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4421[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4421 -> 4839[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4421 -> 4840[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4422[label="Succ ww3100",fontsize=16,color="green",shape="box"];4423[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4423 -> 4841[label="",style="solid", color="black", weight=3]; 25.96/9.69 4424[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4425[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4425 -> 4842[label="",style="solid", color="black", weight=3]; 25.96/9.69 4426[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4427 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4427[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4427 -> 4843[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4427 -> 4844[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4428[label="Succ ww3100",fontsize=16,color="green",shape="box"];4429[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4429 -> 4845[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4430[label="ww41",fontsize=16,color="green",shape="box"];4431[label="ww3100",fontsize=16,color="green",shape="box"];4432[label="ww3000",fontsize=16,color="green",shape="box"];4433[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero",fontsize=16,color="green",shape="box"];4434[label="Pos (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4434 -> 4846[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4435[label="ww41",fontsize=16,color="green",shape="box"];4436[label="ww3100",fontsize=16,color="green",shape="box"];4437[label="ww3000",fontsize=16,color="green",shape="box"];4438[label="Pos (Succ (Succ Zero)) :% Pos Zero",fontsize=16,color="green",shape="box"];4439 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4439[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4439 -> 4847[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4439 -> 4848[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4440[label="Succ ww3100",fontsize=16,color="green",shape="box"];4441[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4441 -> 4849[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4442[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4443[label="Neg (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4443 -> 4850[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4444[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4445 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4445[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4445 -> 4851[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4445 -> 4852[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4446[label="Succ ww3100",fontsize=16,color="green",shape="box"];4447[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4447 -> 4853[label="",style="solid", color="black", weight=3]; 25.96/9.69 4448[label="ww41",fontsize=16,color="green",shape="box"];4449[label="ww3100",fontsize=16,color="green",shape="box"];4450[label="ww3000",fontsize=16,color="green",shape="box"];4451[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero",fontsize=16,color="green",shape="box"];4452[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4452 -> 4854[label="",style="solid", color="black", weight=3]; 25.96/9.69 4453[label="ww41",fontsize=16,color="green",shape="box"];4454[label="ww3100",fontsize=16,color="green",shape="box"];4455[label="ww3000",fontsize=16,color="green",shape="box"];4456[label="Neg (Succ (Succ Zero)) :% Pos Zero",fontsize=16,color="green",shape="box"];4457 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4457[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4457 -> 4855[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4457 -> 4856[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4458[label="Succ ww3100",fontsize=16,color="green",shape="box"];4459[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4459 -> 4857[label="",style="solid", color="black", weight=3]; 25.96/9.69 4460[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4461[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4461 -> 4858[label="",style="solid", color="black", weight=3]; 25.96/9.69 4462[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4463 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4463[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4463 -> 4859[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4463 -> 4860[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4464[label="Succ ww3100",fontsize=16,color="green",shape="box"];4465[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4465 -> 4861[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4466[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4467[label="Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4467 -> 4862[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4468[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4469 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4469[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4469 -> 4863[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4469 -> 4864[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4470[label="Succ ww3100",fontsize=16,color="green",shape="box"];4471[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4471 -> 4865[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4472[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4473[label="Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4473 -> 4866[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4474[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4475 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4475[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4475 -> 4867[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4475 -> 4868[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4476[label="Succ ww3100",fontsize=16,color="green",shape="box"];4477 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4477[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="magenta"];4477 -> 4637[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4477 -> 4638[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4477 -> 4639[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4478[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4479 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4479[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) LT",fontsize=16,color="magenta"];4479 -> 4640[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4479 -> 4641[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4479 -> 4642[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4480[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4481 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4481[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4481 -> 4869[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4481 -> 4870[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4482[label="Succ ww3100",fontsize=16,color="green",shape="box"];4483[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4483 -> 4871[label="",style="solid", color="black", weight=3]; 25.96/9.69 4484[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4485[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="black",shape="box"];4485 -> 4872[label="",style="solid", color="black", weight=3]; 25.96/9.69 4486[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4487 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4487[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4487 -> 4873[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4487 -> 4874[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4488[label="Succ ww3100",fontsize=16,color="green",shape="box"];4489[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4489 -> 4875[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4490[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4491[label="Pos (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4491 -> 4876[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4492[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4493 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4493[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4493 -> 4877[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4493 -> 4878[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4494[label="Succ ww3100",fontsize=16,color="green",shape="box"];4495[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4495 -> 4879[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4496[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4497[label="Neg (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4497 -> 4880[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4498[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4499 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4499[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4499 -> 4881[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4499 -> 4882[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4500[label="Succ ww3100",fontsize=16,color="green",shape="box"];4501 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4501[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) LT",fontsize=16,color="magenta"];4501 -> 4643[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4501 -> 4644[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4501 -> 4645[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4502[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4503 -> 4612[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4503[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) LT",fontsize=16,color="magenta"];4503 -> 4646[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4503 -> 4647[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4503 -> 4648[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4504[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4505[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18300) (Succ ww14400))",fontsize=16,color="black",shape="box"];4505 -> 4883[label="",style="solid", color="black", weight=3]; 25.96/9.69 4506[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18300) Zero)",fontsize=16,color="black",shape="box"];4506 -> 4884[label="",style="solid", color="black", weight=3]; 25.96/9.69 4507[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww14400))",fontsize=16,color="black",shape="box"];4507 -> 4885[label="",style="solid", color="black", weight=3]; 25.96/9.69 4508[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4508 -> 4886[label="",style="solid", color="black", weight=3]; 25.96/9.69 4509[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18500) (Succ ww14400))",fontsize=16,color="black",shape="box"];4509 -> 4887[label="",style="solid", color="black", weight=3]; 25.96/9.69 4510[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat (Succ ww18500) Zero)",fontsize=16,color="black",shape="box"];4510 -> 4888[label="",style="solid", color="black", weight=3]; 25.96/9.69 4511[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero (Succ ww14400))",fontsize=16,color="black",shape="box"];4511 -> 4889[label="",style="solid", color="black", weight=3]; 25.96/9.69 4512[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4512 -> 4890[label="",style="solid", color="black", weight=3]; 25.96/9.69 4513 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4513[label="List.insertBy compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34",fontsize=16,color="magenta"];4513 -> 4891[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4513 -> 4892[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4514 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4514[label="List.insertBy compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34",fontsize=16,color="magenta"];4514 -> 4893[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4514 -> 4894[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4515 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4515[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4515 -> 4895[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4515 -> 4896[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4516[label="Succ ww3100",fontsize=16,color="green",shape="box"];4517[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4518[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4519[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4520[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4521 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4521[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4521 -> 4897[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4521 -> 4898[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4522[label="Succ ww3100",fontsize=16,color="green",shape="box"];4523[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4523 -> 4899[label="",style="solid", color="black", weight=3]; 25.96/9.69 4524[label="ww41",fontsize=16,color="green",shape="box"];4525[label="ww3100",fontsize=16,color="green",shape="box"];4526[label="ww3000",fontsize=16,color="green",shape="box"];4527[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero",fontsize=16,color="green",shape="box"];4528[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4528 -> 4900[label="",style="solid", color="black", weight=3]; 25.96/9.69 4529[label="ww41",fontsize=16,color="green",shape="box"];4530[label="ww3100",fontsize=16,color="green",shape="box"];4531[label="ww3000",fontsize=16,color="green",shape="box"];4532[label="Pos (Succ (Succ Zero)) :% Neg Zero",fontsize=16,color="green",shape="box"];4533[label="ww41",fontsize=16,color="green",shape="box"];4534[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4535 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4535[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4535 -> 4901[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4535 -> 4902[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4536[label="Succ ww3100",fontsize=16,color="green",shape="box"];4537[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4537 -> 4903[label="",style="solid", color="black", weight=3]; 25.96/9.69 4538[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4539[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4539 -> 4904[label="",style="solid", color="black", weight=3]; 25.96/9.69 4540[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4541[label="ww41",fontsize=16,color="green",shape="box"];4542[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4543 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4543[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4543 -> 4905[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4543 -> 4906[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4544[label="Succ ww3100",fontsize=16,color="green",shape="box"];4545[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4546[label="ww41",fontsize=16,color="green",shape="box"];4547[label="ww3100",fontsize=16,color="green",shape="box"];4548[label="ww3000",fontsize=16,color="green",shape="box"];4549[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero",fontsize=16,color="green",shape="box"];4550[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4551[label="ww41",fontsize=16,color="green",shape="box"];4552[label="ww3100",fontsize=16,color="green",shape="box"];4553[label="ww3000",fontsize=16,color="green",shape="box"];4554[label="Neg (Succ (Succ Zero)) :% Neg Zero",fontsize=16,color="green",shape="box"];4555[label="primCmpInt (primMulInt ww160 ww171) (ww170 * ww161)",fontsize=16,color="burlywood",shape="box"];6491[label="ww160/Pos ww1600",fontsize=10,color="white",style="solid",shape="box"];4555 -> 6491[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6491 -> 4907[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6492[label="ww160/Neg ww1600",fontsize=10,color="white",style="solid",shape="box"];4555 -> 6492[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6492 -> 4908[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 4556 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4556[label="primPlusNat (primMulNat ww600 (Succ ww9)) (Succ ww9)",fontsize=16,color="magenta"];4556 -> 4909[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4556 -> 4910[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4557[label="Succ ww9",fontsize=16,color="green",shape="box"];4558[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) LT",fontsize=16,color="black",shape="box"];4558 -> 4911[label="",style="solid", color="black", weight=3]; 25.96/9.69 4559[label="List.insertBy0 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10) EQ",fontsize=16,color="black",shape="box"];4559 -> 4912[label="",style="solid", color="black", weight=3]; 25.96/9.69 4560[label="Zero",fontsize=16,color="green",shape="box"];4561[label="Succ ww9",fontsize=16,color="green",shape="box"];4562[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) LT",fontsize=16,color="black",shape="box"];4562 -> 4913[label="",style="solid", color="black", weight=3]; 25.96/9.69 4563[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7)) ww8 (Pos Zero :% Pos (Succ ww9)) ww10 (Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10) EQ",fontsize=16,color="black",shape="box"];4563 -> 4914[label="",style="solid", color="black", weight=3]; 25.96/9.69 4564 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4564[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4564 -> 4915[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4564 -> 4916[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4565[label="Succ ww3100",fontsize=16,color="green",shape="box"];4566[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4566 -> 4917[label="",style="solid", color="black", weight=3]; 25.96/9.69 4567[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4568[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4568 -> 4918[label="",style="solid", color="black", weight=3]; 25.96/9.69 4569[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4570[label="ww41",fontsize=16,color="green",shape="box"];4571[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4572 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4572[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4572 -> 4919[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4572 -> 4920[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4573[label="Succ ww3100",fontsize=16,color="green",shape="box"];4574[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4574 -> 4921[label="",style="solid", color="black", weight=3]; 25.96/9.69 4575[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4576[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4576 -> 4922[label="",style="solid", color="black", weight=3]; 25.96/9.69 4577[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4578[label="ww41",fontsize=16,color="green",shape="box"];4579[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4580 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4580[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4580 -> 4923[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4580 -> 4924[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4581[label="Succ ww3100",fontsize=16,color="green",shape="box"];4625[label="ww3100",fontsize=16,color="green",shape="box"];4626[label="ww41",fontsize=16,color="green",shape="box"];4627[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)",fontsize=16,color="green",shape="box"];4583[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4628[label="ww3100",fontsize=16,color="green",shape="box"];4629[label="ww41",fontsize=16,color="green",shape="box"];4630[label="Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)",fontsize=16,color="green",shape="box"];4585[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4586 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4586[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4586 -> 4925[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4586 -> 4926[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4587[label="Succ ww3100",fontsize=16,color="green",shape="box"];4588[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4589[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4590[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4591[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4592 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4592[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4592 -> 4927[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4592 -> 4928[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4593[label="Succ ww3100",fontsize=16,color="green",shape="box"];4594[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4594 -> 4929[label="",style="solid", color="black", weight=3]; 25.96/9.69 4595[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4596[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4596 -> 4930[label="",style="solid", color="black", weight=3]; 25.96/9.69 4597[label="Pos Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4598[label="ww41",fontsize=16,color="green",shape="box"];4599[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4600 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4600[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4600 -> 4931[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4600 -> 4932[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4601[label="Succ ww3100",fontsize=16,color="green",shape="box"];4602[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4602 -> 4933[label="",style="solid", color="black", weight=3]; 25.96/9.69 4603[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4604[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Pos Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) GT",fontsize=16,color="black",shape="box"];4604 -> 4934[label="",style="solid", color="black", weight=3]; 25.96/9.69 4605[label="Pos Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4606[label="ww41",fontsize=16,color="green",shape="box"];4607[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4608 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4608[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4608 -> 4935[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4608 -> 4936[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4609[label="Succ ww3100",fontsize=16,color="green",shape="box"];4631[label="ww3100",fontsize=16,color="green",shape="box"];4632[label="ww41",fontsize=16,color="green",shape="box"];4633[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero",fontsize=16,color="green",shape="box"];4611[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4634[label="ww3100",fontsize=16,color="green",shape="box"];4635[label="ww41",fontsize=16,color="green",shape="box"];4636[label="Neg (Succ (Succ Zero)) :% Neg Zero",fontsize=16,color="green",shape="box"];4650[label="Pos Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4651[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26600) (Succ ww22900))",fontsize=16,color="black",shape="box"];4651 -> 4937[label="",style="solid", color="black", weight=3]; 25.96/9.69 4652[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26600) Zero)",fontsize=16,color="black",shape="box"];4652 -> 4938[label="",style="solid", color="black", weight=3]; 25.96/9.69 4653[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww22900))",fontsize=16,color="black",shape="box"];4653 -> 4939[label="",style="solid", color="black", weight=3]; 25.96/9.69 4654[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4654 -> 4940[label="",style="solid", color="black", weight=3]; 25.96/9.69 4655[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26800) (Succ ww22900))",fontsize=16,color="black",shape="box"];4655 -> 4941[label="",style="solid", color="black", weight=3]; 25.96/9.69 4656[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat (Succ ww26800) Zero)",fontsize=16,color="black",shape="box"];4656 -> 4942[label="",style="solid", color="black", weight=3]; 25.96/9.69 4657[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero (Succ ww22900))",fontsize=16,color="black",shape="box"];4657 -> 4943[label="",style="solid", color="black", weight=3]; 25.96/9.69 4658[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4658 -> 4944[label="",style="solid", color="black", weight=3]; 25.96/9.69 4659 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4659[label="List.insertBy compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47",fontsize=16,color="magenta"];4659 -> 4945[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4659 -> 4946[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4660 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4660[label="List.insertBy compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47",fontsize=16,color="magenta"];4660 -> 4947[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4660 -> 4948[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4661 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4661[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4661 -> 4949[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4661 -> 4950[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4662[label="Succ ww3100",fontsize=16,color="green",shape="box"];4663[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4664[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4665[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4666[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4667 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4667[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4667 -> 4951[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4667 -> 4952[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4668[label="Succ ww3100",fontsize=16,color="green",shape="box"];4669[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4669 -> 4953[label="",style="solid", color="black", weight=3]; 25.96/9.69 4670[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4671[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4671 -> 4954[label="",style="solid", color="black", weight=3]; 25.96/9.69 4672[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4673[label="ww41",fontsize=16,color="green",shape="box"];4674[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4675 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4675[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4675 -> 4955[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4675 -> 4956[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4676[label="Succ ww3100",fontsize=16,color="green",shape="box"];4677[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4677 -> 4957[label="",style="solid", color="black", weight=3]; 25.96/9.69 4678[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4679[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4679 -> 4958[label="",style="solid", color="black", weight=3]; 25.96/9.69 4680[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4681[label="ww41",fontsize=16,color="green",shape="box"];4682[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4683 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4683[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4683 -> 4959[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4683 -> 4960[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4684[label="Succ ww3100",fontsize=16,color="green",shape="box"];4685[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4686[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4687[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4688[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4689 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4689[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4689 -> 4961[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4689 -> 4962[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4690[label="Succ ww3100",fontsize=16,color="green",shape="box"];4691[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4692[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4693[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4694[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4695 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4695[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4695 -> 4963[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4695 -> 4964[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4696[label="Succ ww3100",fontsize=16,color="green",shape="box"];4697[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4697 -> 4965[label="",style="solid", color="black", weight=3]; 25.96/9.69 4698[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4699[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4699 -> 4966[label="",style="solid", color="black", weight=3]; 25.96/9.69 4700[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4701[label="ww41",fontsize=16,color="green",shape="box"];4702[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4703 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4703[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4703 -> 4967[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4703 -> 4968[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4704[label="Succ ww3100",fontsize=16,color="green",shape="box"];4705[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4705 -> 4969[label="",style="solid", color="black", weight=3]; 25.96/9.69 4706[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4707[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41) GT",fontsize=16,color="black",shape="box"];4707 -> 4970[label="",style="solid", color="black", weight=3]; 25.96/9.69 4708[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4709[label="ww41",fontsize=16,color="green",shape="box"];4710[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4711 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4711[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4711 -> 4971[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4711 -> 4972[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4712[label="Succ ww3100",fontsize=16,color="green",shape="box"];4713[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4714[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4715[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4716[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4717 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4717[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4717 -> 4973[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4717 -> 4974[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4718[label="Succ ww3100",fontsize=16,color="green",shape="box"];4719[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4720[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4721[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4722[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4723 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4723[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4723 -> 4975[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4723 -> 4976[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4724[label="Succ ww3100",fontsize=16,color="green",shape="box"];4725[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4725 -> 4977[label="",style="solid", color="black", weight=3]; 25.96/9.69 4726[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4727[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4727 -> 4978[label="",style="solid", color="black", weight=3]; 25.96/9.69 4728[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4729[label="ww41",fontsize=16,color="green",shape="box"];4730[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];4731 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4731[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4731 -> 4979[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4731 -> 4980[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4732[label="Succ ww3100",fontsize=16,color="green",shape="box"];4733[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4733 -> 4981[label="",style="solid", color="black", weight=3]; 25.96/9.69 4734[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4735[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Pos Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Pos Zero : ww41) GT",fontsize=16,color="black",shape="box"];4735 -> 4982[label="",style="solid", color="black", weight=3]; 25.96/9.69 4736[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4737[label="ww41",fontsize=16,color="green",shape="box"];4738[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];4739 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4739[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4739 -> 4983[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4739 -> 4984[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4740[label="Succ ww3100",fontsize=16,color="green",shape="box"];4741[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4742[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4743[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4744[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4745[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) (Succ ww35700))",fontsize=16,color="black",shape="box"];4745 -> 4985[label="",style="solid", color="black", weight=3]; 25.96/9.69 4746[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) Zero)",fontsize=16,color="black",shape="box"];4746 -> 4986[label="",style="solid", color="black", weight=3]; 25.96/9.69 4747[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero (Succ ww35700))",fontsize=16,color="black",shape="box"];4747 -> 4987[label="",style="solid", color="black", weight=3]; 25.96/9.69 4748[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4748 -> 4988[label="",style="solid", color="black", weight=3]; 25.96/9.69 4749 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4749[label="List.insertBy compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53",fontsize=16,color="magenta"];4749 -> 4989[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4749 -> 4990[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4750[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) (Succ ww35900))",fontsize=16,color="black",shape="box"];4750 -> 4991[label="",style="solid", color="black", weight=3]; 25.96/9.69 4751[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat (Succ ww31800) Zero)",fontsize=16,color="black",shape="box"];4751 -> 4992[label="",style="solid", color="black", weight=3]; 25.96/9.69 4752[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero (Succ ww35900))",fontsize=16,color="black",shape="box"];4752 -> 4993[label="",style="solid", color="black", weight=3]; 25.96/9.69 4753[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat Zero Zero)",fontsize=16,color="black",shape="box"];4753 -> 4994[label="",style="solid", color="black", weight=3]; 25.96/9.69 4754 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4754[label="List.insertBy compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53",fontsize=16,color="magenta"];4754 -> 4995[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4754 -> 4996[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4755 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4755[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4755 -> 4997[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4755 -> 4998[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4756[label="Succ ww3100",fontsize=16,color="green",shape="box"];4757[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4757 -> 4999[label="",style="solid", color="black", weight=3]; 25.96/9.69 4758[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4759[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4759 -> 5000[label="",style="solid", color="black", weight=3]; 25.96/9.69 4760[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4761 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4761[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4761 -> 5001[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4761 -> 5002[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4762[label="Succ ww3100",fontsize=16,color="green",shape="box"];4763[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4763 -> 5003[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4764[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4765[label="Pos (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4765 -> 5004[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4766[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4767 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4767[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4767 -> 5005[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4767 -> 5006[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4768[label="Succ ww3100",fontsize=16,color="green",shape="box"];4769[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4769 -> 5007[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4770[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4771[label="Neg (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4771 -> 5008[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4772[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4773 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4773[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4773 -> 5009[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4773 -> 5010[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4774[label="Succ ww3100",fontsize=16,color="green",shape="box"];4775[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4775 -> 5011[label="",style="solid", color="black", weight=3]; 25.96/9.69 4776[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4777[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4777 -> 5012[label="",style="solid", color="black", weight=3]; 25.96/9.69 4778[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4779 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4779[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4779 -> 5013[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4779 -> 5014[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4780[label="Succ ww3100",fontsize=16,color="green",shape="box"];4781[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4781 -> 5015[label="",style="solid", color="black", weight=3]; 25.96/9.69 4782[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4783[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4783 -> 5016[label="",style="solid", color="black", weight=3]; 25.96/9.69 4784[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4785 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4785[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4785 -> 5017[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4785 -> 5018[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4786[label="Succ ww3100",fontsize=16,color="green",shape="box"];4787[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4787 -> 5019[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4788[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4789[label="Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4789 -> 5020[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4790[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4791 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4791[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4791 -> 5021[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4791 -> 5022[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4792[label="Succ ww3100",fontsize=16,color="green",shape="box"];4793[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4793 -> 5023[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4794[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4795[label="Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4795 -> 5024[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4796[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4797 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4797[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4797 -> 5025[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4797 -> 5026[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4798[label="Succ ww3100",fontsize=16,color="green",shape="box"];4799[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4799 -> 5027[label="",style="solid", color="black", weight=3]; 25.96/9.69 4800[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4801[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100)) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41) LT",fontsize=16,color="black",shape="box"];4801 -> 5028[label="",style="solid", color="black", weight=3]; 25.96/9.69 4802[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4803 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4803[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4803 -> 5029[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4803 -> 5030[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4804[label="Succ ww3100",fontsize=16,color="green",shape="box"];4805[label="List.insertBy0 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4805 -> 5031[label="",style="solid", color="black", weight=3]; 25.96/9.69 4806[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4807[label="List.insertBy0 (Pos (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Pos (Succ ww3100)) ww41 (Pos (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4807 -> 5032[label="",style="solid", color="black", weight=3]; 25.96/9.69 4808[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4809 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4809[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4809 -> 5033[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4809 -> 5034[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4810[label="Succ ww3100",fontsize=16,color="green",shape="box"];4811[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4811 -> 5035[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4812[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4813[label="Pos (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4813 -> 5036[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4814[label="Neg Zero :% Neg (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4815 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4815[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4815 -> 5037[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4815 -> 5038[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4816[label="Succ ww3100",fontsize=16,color="green",shape="box"];4817[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4817 -> 5039[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4818[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4819[label="Neg (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4819 -> 5040[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4820[label="Neg Zero :% Pos (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4821 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4821[label="primMulNat ww4000000 (Succ ww3100)",fontsize=16,color="magenta"];4821 -> 5041[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4821 -> 5042[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4822[label="Succ ww3100",fontsize=16,color="green",shape="box"];4823[label="List.insertBy0 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4823 -> 5043[label="",style="solid", color="black", weight=3]; 25.96/9.69 4824[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4825[label="List.insertBy0 (Neg (Succ (Succ Zero)) :% Neg Zero) compare (Neg Zero :% Neg (Succ ww3100)) ww41 (Neg (Succ (Succ Zero)) :% Neg Zero : ww41) LT",fontsize=16,color="black",shape="box"];4825 -> 5044[label="",style="solid", color="black", weight=3]; 25.96/9.69 4826[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];4827 -> 3421[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4827[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat ww6000 ww9200)",fontsize=16,color="magenta"];4827 -> 5045[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4827 -> 5046[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4828 -> 3422[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4828[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="magenta"];4829 -> 3433[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4829[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) LT",fontsize=16,color="magenta"];4830 -> 2241[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4830[label="List.insertBy0 (Pos (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Pos (Succ ww2700)) ww28 (Pos (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];4831[label="ww28",fontsize=16,color="green",shape="box"];4832[label="Pos (Succ ww26) :% Pos (Succ ww2700)",fontsize=16,color="green",shape="box"];4833 -> 3428[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4833[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) (primCmpNat ww6000 ww9400)",fontsize=16,color="magenta"];4833 -> 5047[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4833 -> 5048[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4834 -> 3429[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4834[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) GT",fontsize=16,color="magenta"];4835 -> 3444[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4835[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) LT",fontsize=16,color="magenta"];4836 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4836[label="List.insertBy0 (Neg (Succ ww2400) :% Pos (Succ ww25)) compare (Pos (Succ ww26) :% Neg (Succ ww2700)) ww28 (Neg (Succ ww2400) :% Pos (Succ ww25) : ww28) EQ",fontsize=16,color="magenta"];4836 -> 5049[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4836 -> 5050[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4836 -> 5051[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4836 -> 5052[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4837[label="ww28",fontsize=16,color="green",shape="box"];4838[label="Pos (Succ ww26) :% Neg (Succ ww2700)",fontsize=16,color="green",shape="box"];4839[label="ww4000000",fontsize=16,color="green",shape="box"];4840[label="ww3100",fontsize=16,color="green",shape="box"];4841[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4842[label="Pos (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4843[label="ww4000000",fontsize=16,color="green",shape="box"];4844[label="ww3100",fontsize=16,color="green",shape="box"];4845 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4845[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4845 -> 5053[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4845 -> 5054[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4846 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4846[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4846 -> 5055[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4846 -> 5056[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4847[label="ww4000000",fontsize=16,color="green",shape="box"];4848[label="ww3100",fontsize=16,color="green",shape="box"];4849 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4849[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4849 -> 5057[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4849 -> 5058[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4850 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4850[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4850 -> 5059[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4850 -> 5060[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4851[label="ww4000000",fontsize=16,color="green",shape="box"];4852[label="ww3100",fontsize=16,color="green",shape="box"];4853[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4854[label="Pos (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4855[label="ww4000000",fontsize=16,color="green",shape="box"];4856[label="ww3100",fontsize=16,color="green",shape="box"];4857[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4858[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];4859[label="ww4000000",fontsize=16,color="green",shape="box"];4860[label="ww3100",fontsize=16,color="green",shape="box"];4861 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4861[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4861 -> 5061[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4861 -> 5062[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4862 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4862[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4862 -> 5063[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4862 -> 5064[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4863[label="ww4000000",fontsize=16,color="green",shape="box"];4864[label="ww3100",fontsize=16,color="green",shape="box"];4865 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4865[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4865 -> 5065[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4865 -> 5066[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4866 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4866[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4866 -> 5067[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4866 -> 5068[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4867[label="ww4000000",fontsize=16,color="green",shape="box"];4868[label="ww3100",fontsize=16,color="green",shape="box"];4637[label="ww3100",fontsize=16,color="green",shape="box"];4638[label="ww41",fontsize=16,color="green",shape="box"];4639[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100)",fontsize=16,color="green",shape="box"];4640[label="ww3100",fontsize=16,color="green",shape="box"];4641[label="ww41",fontsize=16,color="green",shape="box"];4642[label="Neg (Succ (Succ Zero)) :% Pos (Succ ww40100)",fontsize=16,color="green",shape="box"];4869[label="ww4000000",fontsize=16,color="green",shape="box"];4870[label="ww3100",fontsize=16,color="green",shape="box"];4871[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4872[label="Pos Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Pos Zero : ww41",fontsize=16,color="green",shape="box"];4873[label="ww4000000",fontsize=16,color="green",shape="box"];4874[label="ww3100",fontsize=16,color="green",shape="box"];4875 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4875[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4875 -> 5069[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4875 -> 5070[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4876 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4876[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];4876 -> 5071[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4876 -> 5072[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4877[label="ww4000000",fontsize=16,color="green",shape="box"];4878[label="ww3100",fontsize=16,color="green",shape="box"];4879 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4879[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4879 -> 5073[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4879 -> 5074[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4880 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4880[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];4880 -> 5075[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4880 -> 5076[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4881[label="ww4000000",fontsize=16,color="green",shape="box"];4882[label="ww3100",fontsize=16,color="green",shape="box"];4643[label="ww3100",fontsize=16,color="green",shape="box"];4644[label="ww41",fontsize=16,color="green",shape="box"];4645[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero",fontsize=16,color="green",shape="box"];4646[label="ww3100",fontsize=16,color="green",shape="box"];4647[label="ww41",fontsize=16,color="green",shape="box"];4648[label="Neg (Succ (Succ Zero)) :% Pos Zero",fontsize=16,color="green",shape="box"];4883 -> 3559[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4883[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat ww18300 ww14400)",fontsize=16,color="magenta"];4883 -> 5077[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4883 -> 5078[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4884 -> 3568[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4884[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) GT",fontsize=16,color="magenta"];4885 -> 3560[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4885[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="magenta"];4886 -> 1183[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4886[label="List.insertBy0 (Pos (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Neg (Succ ww3300)) ww34 (Pos (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];4886 -> 5079[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4886 -> 5080[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4886 -> 5081[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4886 -> 5082[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4887 -> 3563[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4887[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) (primCmpNat ww18500 ww14400)",fontsize=16,color="magenta"];4887 -> 5083[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4887 -> 5084[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4888 -> 3573[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4888[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) GT",fontsize=16,color="magenta"];4889 -> 3564[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4889[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) LT",fontsize=16,color="magenta"];4890 -> 2628[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4890[label="List.insertBy0 (Neg (Succ ww3000) :% Neg (Succ ww31)) compare (Pos (Succ ww32) :% Pos (Succ ww3300)) ww34 (Neg (Succ ww3000) :% Neg (Succ ww31) : ww34) EQ",fontsize=16,color="magenta"];4891[label="ww34",fontsize=16,color="green",shape="box"];4892[label="Pos (Succ ww32) :% Neg (Succ ww3300)",fontsize=16,color="green",shape="box"];4893[label="ww34",fontsize=16,color="green",shape="box"];4894[label="Pos (Succ ww32) :% Pos (Succ ww3300)",fontsize=16,color="green",shape="box"];4895[label="ww4000000",fontsize=16,color="green",shape="box"];4896[label="ww3100",fontsize=16,color="green",shape="box"];4897[label="ww4000000",fontsize=16,color="green",shape="box"];4898[label="ww3100",fontsize=16,color="green",shape="box"];4899[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4899 -> 5085[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4900[label="Pos (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4900 -> 5086[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4901[label="ww4000000",fontsize=16,color="green",shape="box"];4902[label="ww3100",fontsize=16,color="green",shape="box"];4903[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4903 -> 5087[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4904[label="Neg (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4904 -> 5088[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4905[label="ww4000000",fontsize=16,color="green",shape="box"];4906[label="ww3100",fontsize=16,color="green",shape="box"];4907[label="primCmpInt (primMulInt (Pos ww1600) ww171) (ww170 * ww161)",fontsize=16,color="burlywood",shape="box"];6493[label="ww171/Pos ww1710",fontsize=10,color="white",style="solid",shape="box"];4907 -> 6493[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6493 -> 5089[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6494[label="ww171/Neg ww1710",fontsize=10,color="white",style="solid",shape="box"];4907 -> 6494[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6494 -> 5090[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 4908[label="primCmpInt (primMulInt (Neg ww1600) ww171) (ww170 * ww161)",fontsize=16,color="burlywood",shape="box"];6495[label="ww171/Pos ww1710",fontsize=10,color="white",style="solid",shape="box"];4908 -> 6495[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6495 -> 5091[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6496[label="ww171/Neg ww1710",fontsize=10,color="white",style="solid",shape="box"];4908 -> 6496[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6496 -> 5092[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 4909 -> 2015[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4909[label="primMulNat ww600 (Succ ww9)",fontsize=16,color="magenta"];4909 -> 5093[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4909 -> 5094[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4910[label="Succ ww9",fontsize=16,color="green",shape="box"];4911[label="Pos Zero :% Pos (Succ ww9) : Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10",fontsize=16,color="green",shape="box"];4912[label="Pos Zero :% Pos (Succ ww9) : Pos (Succ (Succ (Succ ww600))) :% Neg (Succ ww7) : ww10",fontsize=16,color="green",shape="box"];4913[label="Pos Zero :% Pos (Succ ww9) : Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10",fontsize=16,color="green",shape="box"];4914[label="Pos Zero :% Pos (Succ ww9) : Pos (Succ (Succ Zero)) :% Neg (Succ ww7) : ww10",fontsize=16,color="green",shape="box"];4915[label="ww4000000",fontsize=16,color="green",shape="box"];4916[label="ww3100",fontsize=16,color="green",shape="box"];4917[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4917 -> 5095[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4918[label="Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4918 -> 5096[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4919[label="ww4000000",fontsize=16,color="green",shape="box"];4920[label="ww3100",fontsize=16,color="green",shape="box"];4921[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4921 -> 5097[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4922[label="Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4922 -> 5098[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4923[label="ww4000000",fontsize=16,color="green",shape="box"];4924[label="ww3100",fontsize=16,color="green",shape="box"];4925[label="ww4000000",fontsize=16,color="green",shape="box"];4926[label="ww3100",fontsize=16,color="green",shape="box"];4927[label="ww4000000",fontsize=16,color="green",shape="box"];4928[label="ww3100",fontsize=16,color="green",shape="box"];4929[label="Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4929 -> 5099[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4930[label="Pos (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4930 -> 5100[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4931[label="ww4000000",fontsize=16,color="green",shape="box"];4932[label="ww3100",fontsize=16,color="green",shape="box"];4933[label="Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4933 -> 5101[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4934[label="Neg (Succ (Succ Zero)) :% Neg Zero : List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4934 -> 5102[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4935[label="ww4000000",fontsize=16,color="green",shape="box"];4936[label="ww3100",fontsize=16,color="green",shape="box"];4937 -> 3683[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4937[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww26600 ww22900)",fontsize=16,color="magenta"];4937 -> 5103[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4937 -> 5104[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4938 -> 3692[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4938[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) GT",fontsize=16,color="magenta"];4939 -> 3684[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4939[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="magenta"];4940 -> 2996[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4940[label="List.insertBy0 (Pos (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Neg (Succ ww4600)) ww47 (Pos (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="magenta"];4941 -> 3687[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4941[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) (primCmpNat ww26800 ww22900)",fontsize=16,color="magenta"];4941 -> 5105[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4941 -> 5106[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4942 -> 3694[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4942[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) GT",fontsize=16,color="magenta"];4943 -> 3688[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4943[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) LT",fontsize=16,color="magenta"];4944 -> 3000[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4944[label="List.insertBy0 (Neg (Succ ww4300) :% Pos (Succ ww44)) compare (Neg (Succ ww45) :% Pos (Succ ww4600)) ww47 (Neg (Succ ww4300) :% Pos (Succ ww44) : ww47) EQ",fontsize=16,color="magenta"];4945[label="ww47",fontsize=16,color="green",shape="box"];4946[label="Neg (Succ ww45) :% Neg (Succ ww4600)",fontsize=16,color="green",shape="box"];4947[label="ww47",fontsize=16,color="green",shape="box"];4948[label="Neg (Succ ww45) :% Pos (Succ ww4600)",fontsize=16,color="green",shape="box"];4949[label="ww4000000",fontsize=16,color="green",shape="box"];4950[label="ww3100",fontsize=16,color="green",shape="box"];4951[label="ww4000000",fontsize=16,color="green",shape="box"];4952[label="ww3100",fontsize=16,color="green",shape="box"];4953[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4953 -> 5107[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4954[label="Pos (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4954 -> 5108[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4955[label="ww4000000",fontsize=16,color="green",shape="box"];4956[label="ww3100",fontsize=16,color="green",shape="box"];4957[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4957 -> 5109[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4958[label="Neg (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4958 -> 5110[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4959[label="ww4000000",fontsize=16,color="green",shape="box"];4960[label="ww3100",fontsize=16,color="green",shape="box"];4961[label="ww4000000",fontsize=16,color="green",shape="box"];4962[label="ww3100",fontsize=16,color="green",shape="box"];4963[label="ww4000000",fontsize=16,color="green",shape="box"];4964[label="ww3100",fontsize=16,color="green",shape="box"];4965[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4965 -> 5111[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4966[label="Pos (Succ (Succ Zero)) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4966 -> 5112[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4967[label="ww4000000",fontsize=16,color="green",shape="box"];4968[label="ww3100",fontsize=16,color="green",shape="box"];4969[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4969 -> 5113[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4970[label="Neg (Succ (Succ Zero)) :% Pos (Succ ww40100) : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4970 -> 5114[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4971[label="ww4000000",fontsize=16,color="green",shape="box"];4972[label="ww3100",fontsize=16,color="green",shape="box"];4973[label="ww4000000",fontsize=16,color="green",shape="box"];4974[label="ww3100",fontsize=16,color="green",shape="box"];4975[label="ww4000000",fontsize=16,color="green",shape="box"];4976[label="ww3100",fontsize=16,color="green",shape="box"];4977[label="Pos (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4977 -> 5115[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4978[label="Pos (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4978 -> 5116[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4979[label="ww4000000",fontsize=16,color="green",shape="box"];4980[label="ww3100",fontsize=16,color="green",shape="box"];4981[label="Neg (Succ (Succ (Succ ww4000000))) :% Pos Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4981 -> 5117[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4982[label="Neg (Succ (Succ Zero)) :% Pos Zero : List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="green",shape="box"];4982 -> 5118[label="",style="dashed", color="green", weight=3]; 25.96/9.69 4983[label="ww4000000",fontsize=16,color="green",shape="box"];4984[label="ww3100",fontsize=16,color="green",shape="box"];4985 -> 3803[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4985[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat ww31800 ww35700)",fontsize=16,color="magenta"];4985 -> 5119[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4985 -> 5120[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4986 -> 3804[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4986[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="magenta"];4987 -> 3815[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4987[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) LT",fontsize=16,color="magenta"];4988 -> 3368[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4988[label="List.insertBy0 (Pos (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Pos (Succ ww5200)) ww53 (Pos (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="magenta"];4989[label="ww53",fontsize=16,color="green",shape="box"];4990[label="Neg (Succ ww51) :% Pos (Succ ww5200)",fontsize=16,color="green",shape="box"];4991 -> 3810[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4991[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) (primCmpNat ww31800 ww35900)",fontsize=16,color="magenta"];4991 -> 5121[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4991 -> 5122[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 4992 -> 3811[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4992[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) GT",fontsize=16,color="magenta"];4993 -> 3823[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4993[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) LT",fontsize=16,color="magenta"];4994 -> 3380[label="",style="dashed", color="red", weight=0]; 25.96/9.69 4994[label="List.insertBy0 (Neg (Succ ww4900) :% Neg (Succ ww50)) compare (Neg (Succ ww51) :% Neg (Succ ww5200)) ww53 (Neg (Succ ww4900) :% Neg (Succ ww50) : ww53) EQ",fontsize=16,color="magenta"];4995[label="ww53",fontsize=16,color="green",shape="box"];4996[label="Neg (Succ ww51) :% Neg (Succ ww5200)",fontsize=16,color="green",shape="box"];4997[label="ww4000000",fontsize=16,color="green",shape="box"];4998[label="ww3100",fontsize=16,color="green",shape="box"];4999[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5000[label="Neg (Succ ww3000) :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5001[label="ww4000000",fontsize=16,color="green",shape="box"];5002[label="ww3100",fontsize=16,color="green",shape="box"];5003 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5003[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5003 -> 5123[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5003 -> 5124[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5004 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5004[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5004 -> 5125[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5004 -> 5126[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5005[label="ww4000000",fontsize=16,color="green",shape="box"];5006[label="ww3100",fontsize=16,color="green",shape="box"];5007 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5007[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5007 -> 5127[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5007 -> 5128[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5008 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5008[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5008 -> 5129[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5008 -> 5130[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5009[label="ww4000000",fontsize=16,color="green",shape="box"];5010[label="ww3100",fontsize=16,color="green",shape="box"];5011[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5012[label="Neg (Succ ww3000) :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5013[label="ww4000000",fontsize=16,color="green",shape="box"];5014[label="ww3100",fontsize=16,color="green",shape="box"];5015[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];5016[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];5017[label="ww4000000",fontsize=16,color="green",shape="box"];5018[label="ww3100",fontsize=16,color="green",shape="box"];5019 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5019[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5019 -> 5131[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5019 -> 5132[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5020 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5020[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5020 -> 5133[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5020 -> 5134[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5021[label="ww4000000",fontsize=16,color="green",shape="box"];5022[label="ww3100",fontsize=16,color="green",shape="box"];5023 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5023[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5023 -> 5135[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5023 -> 5136[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5024 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5024[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5024 -> 5137[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5024 -> 5138[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5025[label="ww4000000",fontsize=16,color="green",shape="box"];5026[label="ww3100",fontsize=16,color="green",shape="box"];5027[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];5028[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg (Succ ww40100) : ww41",fontsize=16,color="green",shape="box"];5029[label="ww4000000",fontsize=16,color="green",shape="box"];5030[label="ww3100",fontsize=16,color="green",shape="box"];5031[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5032[label="Neg Zero :% Pos (Succ ww3100) : Pos (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5033[label="ww4000000",fontsize=16,color="green",shape="box"];5034[label="ww3100",fontsize=16,color="green",shape="box"];5035 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5035[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5035 -> 5139[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5035 -> 5140[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5036 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5036[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5036 -> 5141[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5036 -> 5142[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5037[label="ww4000000",fontsize=16,color="green",shape="box"];5038[label="ww3100",fontsize=16,color="green",shape="box"];5039 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5039[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5039 -> 5143[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5039 -> 5144[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5040 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5040[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5040 -> 5145[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5040 -> 5146[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5041[label="ww4000000",fontsize=16,color="green",shape="box"];5042[label="ww3100",fontsize=16,color="green",shape="box"];5043[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ (Succ ww4000000))) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5044[label="Neg Zero :% Neg (Succ ww3100) : Neg (Succ (Succ Zero)) :% Neg Zero : ww41",fontsize=16,color="green",shape="box"];5045[label="ww9200",fontsize=16,color="green",shape="box"];5046[label="ww6000",fontsize=16,color="green",shape="box"];5047[label="ww9400",fontsize=16,color="green",shape="box"];5048[label="ww6000",fontsize=16,color="green",shape="box"];5049[label="ww28",fontsize=16,color="green",shape="box"];5050[label="ww2700",fontsize=16,color="green",shape="box"];5051[label="ww26",fontsize=16,color="green",shape="box"];5052[label="Neg (Succ ww2400) :% Pos (Succ ww25)",fontsize=16,color="green",shape="box"];5053[label="ww41",fontsize=16,color="green",shape="box"];5054[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5055[label="ww41",fontsize=16,color="green",shape="box"];5056[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5057[label="ww41",fontsize=16,color="green",shape="box"];5058[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5059[label="ww41",fontsize=16,color="green",shape="box"];5060[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5061[label="ww41",fontsize=16,color="green",shape="box"];5062[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5063[label="ww41",fontsize=16,color="green",shape="box"];5064[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5065[label="ww41",fontsize=16,color="green",shape="box"];5066[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5067[label="ww41",fontsize=16,color="green",shape="box"];5068[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5069[label="ww41",fontsize=16,color="green",shape="box"];5070[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5071[label="ww41",fontsize=16,color="green",shape="box"];5072[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5073[label="ww41",fontsize=16,color="green",shape="box"];5074[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5075[label="ww41",fontsize=16,color="green",shape="box"];5076[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5077[label="ww18300",fontsize=16,color="green",shape="box"];5078[label="ww14400",fontsize=16,color="green",shape="box"];5079[label="ww34",fontsize=16,color="green",shape="box"];5080[label="ww3300",fontsize=16,color="green",shape="box"];5081[label="ww32",fontsize=16,color="green",shape="box"];5082[label="Pos (Succ ww3000) :% Neg (Succ ww31)",fontsize=16,color="green",shape="box"];5083[label="ww18500",fontsize=16,color="green",shape="box"];5084[label="ww14400",fontsize=16,color="green",shape="box"];5085 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5085[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5085 -> 5147[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5085 -> 5148[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5086 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5086[label="List.insertBy compare (Pos (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5086 -> 5149[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5086 -> 5150[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5087 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5087[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5087 -> 5151[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5087 -> 5152[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5088 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5088[label="List.insertBy compare (Pos (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5088 -> 5153[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5088 -> 5154[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5089[label="primCmpInt (primMulInt (Pos ww1600) (Pos ww1710)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5089 -> 5155[label="",style="solid", color="black", weight=3]; 25.96/9.69 5090[label="primCmpInt (primMulInt (Pos ww1600) (Neg ww1710)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5090 -> 5156[label="",style="solid", color="black", weight=3]; 25.96/9.69 5091[label="primCmpInt (primMulInt (Neg ww1600) (Pos ww1710)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5091 -> 5157[label="",style="solid", color="black", weight=3]; 25.96/9.69 5092[label="primCmpInt (primMulInt (Neg ww1600) (Neg ww1710)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5092 -> 5158[label="",style="solid", color="black", weight=3]; 25.96/9.69 5093[label="ww600",fontsize=16,color="green",shape="box"];5094[label="ww9",fontsize=16,color="green",shape="box"];5095 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5095[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5095 -> 5159[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5095 -> 5160[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5096 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5096[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5096 -> 5161[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5096 -> 5162[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5097 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5097[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5097 -> 5163[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5097 -> 5164[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5098 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5098[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5098 -> 5165[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5098 -> 5166[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5099 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5099[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5099 -> 5167[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5099 -> 5168[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5100 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5100[label="List.insertBy compare (Pos Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5100 -> 5169[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5100 -> 5170[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5101 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5101[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5101 -> 5171[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5101 -> 5172[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5102 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5102[label="List.insertBy compare (Pos Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5102 -> 5173[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5102 -> 5174[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5103[label="ww26600",fontsize=16,color="green",shape="box"];5104[label="ww22900",fontsize=16,color="green",shape="box"];5105[label="ww26800",fontsize=16,color="green",shape="box"];5106[label="ww22900",fontsize=16,color="green",shape="box"];5107 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5107[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5107 -> 5175[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5107 -> 5176[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5108 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5108[label="List.insertBy compare (Neg (Succ ww3000) :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5108 -> 5177[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5108 -> 5178[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5109 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5109[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5109 -> 5179[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5109 -> 5180[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5110 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5110[label="List.insertBy compare (Neg (Succ ww3000) :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5110 -> 5181[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5110 -> 5182[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5111 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5111[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5111 -> 5183[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5111 -> 5184[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5112 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5112[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5112 -> 5185[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5112 -> 5186[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5113 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5113[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5113 -> 5187[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5113 -> 5188[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5114 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5114[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5114 -> 5189[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5114 -> 5190[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5115 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5115[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5115 -> 5191[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5115 -> 5192[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5116 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5116[label="List.insertBy compare (Neg Zero :% Neg (Succ ww3100)) ww41",fontsize=16,color="magenta"];5116 -> 5193[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5116 -> 5194[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5117 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5117[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5117 -> 5195[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5117 -> 5196[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5118 -> 5[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5118[label="List.insertBy compare (Neg Zero :% Pos (Succ ww3100)) ww41",fontsize=16,color="magenta"];5118 -> 5197[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5118 -> 5198[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5119[label="ww31800",fontsize=16,color="green",shape="box"];5120[label="ww35700",fontsize=16,color="green",shape="box"];5121[label="ww31800",fontsize=16,color="green",shape="box"];5122[label="ww35900",fontsize=16,color="green",shape="box"];5123[label="ww41",fontsize=16,color="green",shape="box"];5124[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5125[label="ww41",fontsize=16,color="green",shape="box"];5126[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5127[label="ww41",fontsize=16,color="green",shape="box"];5128[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5129[label="ww41",fontsize=16,color="green",shape="box"];5130[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5131[label="ww41",fontsize=16,color="green",shape="box"];5132[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5133[label="ww41",fontsize=16,color="green",shape="box"];5134[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5135[label="ww41",fontsize=16,color="green",shape="box"];5136[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5137[label="ww41",fontsize=16,color="green",shape="box"];5138[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5139[label="ww41",fontsize=16,color="green",shape="box"];5140[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5141[label="ww41",fontsize=16,color="green",shape="box"];5142[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5143[label="ww41",fontsize=16,color="green",shape="box"];5144[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5145[label="ww41",fontsize=16,color="green",shape="box"];5146[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5147[label="ww41",fontsize=16,color="green",shape="box"];5148[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5149[label="ww41",fontsize=16,color="green",shape="box"];5150[label="Pos (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5151[label="ww41",fontsize=16,color="green",shape="box"];5152[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5153[label="ww41",fontsize=16,color="green",shape="box"];5154[label="Pos (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5155 -> 5223[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5155[label="primCmpInt (Pos (primMulNat ww1600 ww1710)) (ww170 * ww161)",fontsize=16,color="magenta"];5155 -> 5224[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5156 -> 5236[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5156[label="primCmpInt (Neg (primMulNat ww1600 ww1710)) (ww170 * ww161)",fontsize=16,color="magenta"];5156 -> 5237[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5157 -> 5236[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5157[label="primCmpInt (Neg (primMulNat ww1600 ww1710)) (ww170 * ww161)",fontsize=16,color="magenta"];5157 -> 5238[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5158 -> 5223[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5158[label="primCmpInt (Pos (primMulNat ww1600 ww1710)) (ww170 * ww161)",fontsize=16,color="magenta"];5158 -> 5225[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5159[label="ww41",fontsize=16,color="green",shape="box"];5160[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5161[label="ww41",fontsize=16,color="green",shape="box"];5162[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5163[label="ww41",fontsize=16,color="green",shape="box"];5164[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5165[label="ww41",fontsize=16,color="green",shape="box"];5166[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5167[label="ww41",fontsize=16,color="green",shape="box"];5168[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5169[label="ww41",fontsize=16,color="green",shape="box"];5170[label="Pos Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5171[label="ww41",fontsize=16,color="green",shape="box"];5172[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5173[label="ww41",fontsize=16,color="green",shape="box"];5174[label="Pos Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5175[label="ww41",fontsize=16,color="green",shape="box"];5176[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5177[label="ww41",fontsize=16,color="green",shape="box"];5178[label="Neg (Succ ww3000) :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5179[label="ww41",fontsize=16,color="green",shape="box"];5180[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5181[label="ww41",fontsize=16,color="green",shape="box"];5182[label="Neg (Succ ww3000) :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5183[label="ww41",fontsize=16,color="green",shape="box"];5184[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5185[label="ww41",fontsize=16,color="green",shape="box"];5186[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5187[label="ww41",fontsize=16,color="green",shape="box"];5188[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5189[label="ww41",fontsize=16,color="green",shape="box"];5190[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5191[label="ww41",fontsize=16,color="green",shape="box"];5192[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5193[label="ww41",fontsize=16,color="green",shape="box"];5194[label="Neg Zero :% Neg (Succ ww3100)",fontsize=16,color="green",shape="box"];5195[label="ww41",fontsize=16,color="green",shape="box"];5196[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5197[label="ww41",fontsize=16,color="green",shape="box"];5198[label="Neg Zero :% Pos (Succ ww3100)",fontsize=16,color="green",shape="box"];5224[label="primMulNat ww1600 ww1710",fontsize=16,color="burlywood",shape="triangle"];6497[label="ww1600/Succ ww16000",fontsize=10,color="white",style="solid",shape="box"];5224 -> 6497[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6497 -> 5230[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6498[label="ww1600/Zero",fontsize=10,color="white",style="solid",shape="box"];5224 -> 6498[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6498 -> 5231[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5223[label="primCmpInt (Pos ww419) (ww170 * ww161)",fontsize=16,color="burlywood",shape="triangle"];6499[label="ww419/Succ ww4190",fontsize=10,color="white",style="solid",shape="box"];5223 -> 6499[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6499 -> 5232[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6500[label="ww419/Zero",fontsize=10,color="white",style="solid",shape="box"];5223 -> 6500[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6500 -> 5233[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5237 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5237[label="primMulNat ww1600 ww1710",fontsize=16,color="magenta"];5237 -> 5243[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5236[label="primCmpInt (Neg ww421) (ww170 * ww161)",fontsize=16,color="burlywood",shape="triangle"];6501[label="ww421/Succ ww4210",fontsize=10,color="white",style="solid",shape="box"];5236 -> 6501[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6501 -> 5244[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6502[label="ww421/Zero",fontsize=10,color="white",style="solid",shape="box"];5236 -> 6502[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6502 -> 5245[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5238 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5238[label="primMulNat ww1600 ww1710",fontsize=16,color="magenta"];5238 -> 5246[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5225 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5225[label="primMulNat ww1600 ww1710",fontsize=16,color="magenta"];5225 -> 5234[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5225 -> 5235[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5230[label="primMulNat (Succ ww16000) ww1710",fontsize=16,color="burlywood",shape="box"];6503[label="ww1710/Succ ww17100",fontsize=10,color="white",style="solid",shape="box"];5230 -> 6503[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6503 -> 5247[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6504[label="ww1710/Zero",fontsize=10,color="white",style="solid",shape="box"];5230 -> 6504[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6504 -> 5248[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5231[label="primMulNat Zero ww1710",fontsize=16,color="burlywood",shape="box"];6505[label="ww1710/Succ ww17100",fontsize=10,color="white",style="solid",shape="box"];5231 -> 6505[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6505 -> 5249[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6506[label="ww1710/Zero",fontsize=10,color="white",style="solid",shape="box"];5231 -> 6506[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6506 -> 5250[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5232[label="primCmpInt (Pos (Succ ww4190)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5232 -> 5251[label="",style="solid", color="black", weight=3]; 25.96/9.69 5233[label="primCmpInt (Pos Zero) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5233 -> 5252[label="",style="solid", color="black", weight=3]; 25.96/9.69 5243[label="ww1710",fontsize=16,color="green",shape="box"];5244[label="primCmpInt (Neg (Succ ww4210)) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5244 -> 5253[label="",style="solid", color="black", weight=3]; 25.96/9.69 5245[label="primCmpInt (Neg Zero) (ww170 * ww161)",fontsize=16,color="black",shape="box"];5245 -> 5254[label="",style="solid", color="black", weight=3]; 25.96/9.69 5246[label="ww1600",fontsize=16,color="green",shape="box"];5234[label="ww1710",fontsize=16,color="green",shape="box"];5235[label="ww1600",fontsize=16,color="green",shape="box"];5247[label="primMulNat (Succ ww16000) (Succ ww17100)",fontsize=16,color="black",shape="box"];5247 -> 5255[label="",style="solid", color="black", weight=3]; 25.96/9.69 5248[label="primMulNat (Succ ww16000) Zero",fontsize=16,color="black",shape="box"];5248 -> 5256[label="",style="solid", color="black", weight=3]; 25.96/9.69 5249[label="primMulNat Zero (Succ ww17100)",fontsize=16,color="black",shape="box"];5249 -> 5257[label="",style="solid", color="black", weight=3]; 25.96/9.69 5250[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];5250 -> 5258[label="",style="solid", color="black", weight=3]; 25.96/9.69 5251[label="primCmpInt (Pos (Succ ww4190)) (primMulInt ww170 ww161)",fontsize=16,color="burlywood",shape="box"];6507[label="ww170/Pos ww1700",fontsize=10,color="white",style="solid",shape="box"];5251 -> 6507[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6507 -> 5259[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6508[label="ww170/Neg ww1700",fontsize=10,color="white",style="solid",shape="box"];5251 -> 6508[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6508 -> 5260[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5252[label="primCmpInt (Pos Zero) (primMulInt ww170 ww161)",fontsize=16,color="burlywood",shape="box"];6509[label="ww170/Pos ww1700",fontsize=10,color="white",style="solid",shape="box"];5252 -> 6509[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6509 -> 5261[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6510[label="ww170/Neg ww1700",fontsize=10,color="white",style="solid",shape="box"];5252 -> 6510[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6510 -> 5262[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5253[label="primCmpInt (Neg (Succ ww4210)) (primMulInt ww170 ww161)",fontsize=16,color="burlywood",shape="box"];6511[label="ww170/Pos ww1700",fontsize=10,color="white",style="solid",shape="box"];5253 -> 6511[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6511 -> 5263[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6512[label="ww170/Neg ww1700",fontsize=10,color="white",style="solid",shape="box"];5253 -> 6512[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6512 -> 5264[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5254[label="primCmpInt (Neg Zero) (primMulInt ww170 ww161)",fontsize=16,color="burlywood",shape="box"];6513[label="ww170/Pos ww1700",fontsize=10,color="white",style="solid",shape="box"];5254 -> 6513[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6513 -> 5265[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6514[label="ww170/Neg ww1700",fontsize=10,color="white",style="solid",shape="box"];5254 -> 6514[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6514 -> 5266[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5255 -> 2038[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5255[label="primPlusNat (primMulNat ww16000 (Succ ww17100)) (Succ ww17100)",fontsize=16,color="magenta"];5255 -> 5267[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5255 -> 5268[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5256[label="Zero",fontsize=16,color="green",shape="box"];5257[label="Zero",fontsize=16,color="green",shape="box"];5258[label="Zero",fontsize=16,color="green",shape="box"];5259[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Pos ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6515[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5259 -> 6515[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6515 -> 5269[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6516[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5259 -> 6516[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6516 -> 5270[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5260[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Neg ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6517[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5260 -> 6517[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6517 -> 5271[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6518[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5260 -> 6518[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6518 -> 5272[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5261[label="primCmpInt (Pos Zero) (primMulInt (Pos ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6519[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5261 -> 6519[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6519 -> 5273[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6520[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5261 -> 6520[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6520 -> 5274[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5262[label="primCmpInt (Pos Zero) (primMulInt (Neg ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6521[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5262 -> 6521[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6521 -> 5275[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6522[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5262 -> 6522[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6522 -> 5276[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5263[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Pos ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6523[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5263 -> 6523[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6523 -> 5277[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6524[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5263 -> 6524[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6524 -> 5278[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5264[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Neg ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6525[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5264 -> 6525[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6525 -> 5279[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6526[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5264 -> 6526[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6526 -> 5280[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5265[label="primCmpInt (Neg Zero) (primMulInt (Pos ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6527[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5265 -> 6527[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6527 -> 5281[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6528[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5265 -> 6528[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6528 -> 5282[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5266[label="primCmpInt (Neg Zero) (primMulInt (Neg ww1700) ww161)",fontsize=16,color="burlywood",shape="box"];6529[label="ww161/Pos ww1610",fontsize=10,color="white",style="solid",shape="box"];5266 -> 6529[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6529 -> 5283[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6530[label="ww161/Neg ww1610",fontsize=10,color="white",style="solid",shape="box"];5266 -> 6530[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6530 -> 5284[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5267 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5267[label="primMulNat ww16000 (Succ ww17100)",fontsize=16,color="magenta"];5267 -> 5285[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5267 -> 5286[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5268[label="Succ ww17100",fontsize=16,color="green",shape="box"];5269[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Pos ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5269 -> 5287[label="",style="solid", color="black", weight=3]; 25.96/9.69 5270[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Pos ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5270 -> 5288[label="",style="solid", color="black", weight=3]; 25.96/9.69 5271[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Neg ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5271 -> 5289[label="",style="solid", color="black", weight=3]; 25.96/9.69 5272[label="primCmpInt (Pos (Succ ww4190)) (primMulInt (Neg ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5272 -> 5290[label="",style="solid", color="black", weight=3]; 25.96/9.69 5273[label="primCmpInt (Pos Zero) (primMulInt (Pos ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5273 -> 5291[label="",style="solid", color="black", weight=3]; 25.96/9.69 5274[label="primCmpInt (Pos Zero) (primMulInt (Pos ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5274 -> 5292[label="",style="solid", color="black", weight=3]; 25.96/9.69 5275[label="primCmpInt (Pos Zero) (primMulInt (Neg ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5275 -> 5293[label="",style="solid", color="black", weight=3]; 25.96/9.69 5276[label="primCmpInt (Pos Zero) (primMulInt (Neg ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5276 -> 5294[label="",style="solid", color="black", weight=3]; 25.96/9.69 5277[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Pos ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5277 -> 5295[label="",style="solid", color="black", weight=3]; 25.96/9.69 5278[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Pos ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5278 -> 5296[label="",style="solid", color="black", weight=3]; 25.96/9.69 5279[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Neg ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5279 -> 5297[label="",style="solid", color="black", weight=3]; 25.96/9.69 5280[label="primCmpInt (Neg (Succ ww4210)) (primMulInt (Neg ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5280 -> 5298[label="",style="solid", color="black", weight=3]; 25.96/9.69 5281[label="primCmpInt (Neg Zero) (primMulInt (Pos ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5281 -> 5299[label="",style="solid", color="black", weight=3]; 25.96/9.69 5282[label="primCmpInt (Neg Zero) (primMulInt (Pos ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5282 -> 5300[label="",style="solid", color="black", weight=3]; 25.96/9.69 5283[label="primCmpInt (Neg Zero) (primMulInt (Neg ww1700) (Pos ww1610))",fontsize=16,color="black",shape="box"];5283 -> 5301[label="",style="solid", color="black", weight=3]; 25.96/9.69 5284[label="primCmpInt (Neg Zero) (primMulInt (Neg ww1700) (Neg ww1610))",fontsize=16,color="black",shape="box"];5284 -> 5302[label="",style="solid", color="black", weight=3]; 25.96/9.69 5285[label="Succ ww17100",fontsize=16,color="green",shape="box"];5286[label="ww16000",fontsize=16,color="green",shape="box"];5287 -> 5303[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5287[label="primCmpInt (Pos (Succ ww4190)) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5287 -> 5304[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5288 -> 5306[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5288[label="primCmpInt (Pos (Succ ww4190)) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5288 -> 5307[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5289 -> 5306[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5289[label="primCmpInt (Pos (Succ ww4190)) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5289 -> 5308[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5290 -> 5303[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5290[label="primCmpInt (Pos (Succ ww4190)) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5290 -> 5305[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5291 -> 5309[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5291[label="primCmpInt (Pos Zero) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5291 -> 5310[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5292 -> 5312[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5292[label="primCmpInt (Pos Zero) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5292 -> 5313[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5293 -> 5312[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5293[label="primCmpInt (Pos Zero) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5293 -> 5314[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5294 -> 5309[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5294[label="primCmpInt (Pos Zero) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5294 -> 5311[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5295 -> 5315[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5295[label="primCmpInt (Neg (Succ ww4210)) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5295 -> 5316[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5296 -> 5318[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5296[label="primCmpInt (Neg (Succ ww4210)) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5296 -> 5319[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5297 -> 5318[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5297[label="primCmpInt (Neg (Succ ww4210)) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5297 -> 5320[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5298 -> 5315[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5298[label="primCmpInt (Neg (Succ ww4210)) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5298 -> 5317[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5299 -> 5321[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5299[label="primCmpInt (Neg Zero) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5299 -> 5322[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5300 -> 5324[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5300[label="primCmpInt (Neg Zero) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5300 -> 5325[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5301 -> 5324[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5301[label="primCmpInt (Neg Zero) (Neg (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5301 -> 5326[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5302 -> 5321[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5302[label="primCmpInt (Neg Zero) (Pos (primMulNat ww1700 ww1610))",fontsize=16,color="magenta"];5302 -> 5323[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5304 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5304[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5304 -> 5327[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5304 -> 5328[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5303[label="primCmpInt (Pos (Succ ww4190)) (Pos ww423)",fontsize=16,color="black",shape="triangle"];5303 -> 5329[label="",style="solid", color="black", weight=3]; 25.96/9.69 5307 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5307[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5307 -> 5330[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5307 -> 5331[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5306[label="primCmpInt (Pos (Succ ww4190)) (Neg ww424)",fontsize=16,color="black",shape="triangle"];5306 -> 5332[label="",style="solid", color="black", weight=3]; 25.96/9.69 5308 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5308[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5308 -> 5333[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5308 -> 5334[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5305 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5305[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5305 -> 5335[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5305 -> 5336[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5310 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5310[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5310 -> 5337[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5310 -> 5338[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5309[label="primCmpInt (Pos Zero) (Pos ww425)",fontsize=16,color="burlywood",shape="triangle"];6531[label="ww425/Succ ww4250",fontsize=10,color="white",style="solid",shape="box"];5309 -> 6531[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6531 -> 5339[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6532[label="ww425/Zero",fontsize=10,color="white",style="solid",shape="box"];5309 -> 6532[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6532 -> 5340[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5313 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5313[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5313 -> 5341[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5313 -> 5342[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5312[label="primCmpInt (Pos Zero) (Neg ww426)",fontsize=16,color="burlywood",shape="triangle"];6533[label="ww426/Succ ww4260",fontsize=10,color="white",style="solid",shape="box"];5312 -> 6533[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6533 -> 5343[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6534[label="ww426/Zero",fontsize=10,color="white",style="solid",shape="box"];5312 -> 6534[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6534 -> 5344[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5314 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5314[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5314 -> 5345[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5314 -> 5346[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5311 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5311[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5311 -> 5347[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5311 -> 5348[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5316 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5316[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5316 -> 5349[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5316 -> 5350[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5315[label="primCmpInt (Neg (Succ ww4210)) (Pos ww427)",fontsize=16,color="black",shape="triangle"];5315 -> 5351[label="",style="solid", color="black", weight=3]; 25.96/9.69 5319 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5319[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5319 -> 5352[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5319 -> 5353[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5318[label="primCmpInt (Neg (Succ ww4210)) (Neg ww428)",fontsize=16,color="black",shape="triangle"];5318 -> 5354[label="",style="solid", color="black", weight=3]; 25.96/9.69 5320 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5320[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5320 -> 5355[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5320 -> 5356[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5317 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5317[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5317 -> 5357[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5317 -> 5358[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5322 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5322[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5322 -> 5359[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5322 -> 5360[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5321[label="primCmpInt (Neg Zero) (Pos ww429)",fontsize=16,color="burlywood",shape="triangle"];6535[label="ww429/Succ ww4290",fontsize=10,color="white",style="solid",shape="box"];5321 -> 6535[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6535 -> 5361[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6536[label="ww429/Zero",fontsize=10,color="white",style="solid",shape="box"];5321 -> 6536[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6536 -> 5362[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5325 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5325[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5325 -> 5363[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5325 -> 5364[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5324[label="primCmpInt (Neg Zero) (Neg ww430)",fontsize=16,color="burlywood",shape="triangle"];6537[label="ww430/Succ ww4300",fontsize=10,color="white",style="solid",shape="box"];5324 -> 6537[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6537 -> 5365[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6538[label="ww430/Zero",fontsize=10,color="white",style="solid",shape="box"];5324 -> 6538[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6538 -> 5366[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5326 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5326[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5326 -> 5367[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5326 -> 5368[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5323 -> 5224[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5323[label="primMulNat ww1700 ww1610",fontsize=16,color="magenta"];5323 -> 5369[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5323 -> 5370[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5327[label="ww1610",fontsize=16,color="green",shape="box"];5328[label="ww1700",fontsize=16,color="green",shape="box"];5329[label="primCmpNat (Succ ww4190) ww423",fontsize=16,color="burlywood",shape="triangle"];6539[label="ww423/Succ ww4230",fontsize=10,color="white",style="solid",shape="box"];5329 -> 6539[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6539 -> 5371[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6540[label="ww423/Zero",fontsize=10,color="white",style="solid",shape="box"];5329 -> 6540[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6540 -> 5372[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5330[label="ww1610",fontsize=16,color="green",shape="box"];5331[label="ww1700",fontsize=16,color="green",shape="box"];5332[label="GT",fontsize=16,color="green",shape="box"];5333[label="ww1610",fontsize=16,color="green",shape="box"];5334[label="ww1700",fontsize=16,color="green",shape="box"];5335[label="ww1610",fontsize=16,color="green",shape="box"];5336[label="ww1700",fontsize=16,color="green",shape="box"];5337[label="ww1610",fontsize=16,color="green",shape="box"];5338[label="ww1700",fontsize=16,color="green",shape="box"];5339[label="primCmpInt (Pos Zero) (Pos (Succ ww4250))",fontsize=16,color="black",shape="box"];5339 -> 5373[label="",style="solid", color="black", weight=3]; 25.96/9.69 5340[label="primCmpInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];5340 -> 5374[label="",style="solid", color="black", weight=3]; 25.96/9.69 5341[label="ww1610",fontsize=16,color="green",shape="box"];5342[label="ww1700",fontsize=16,color="green",shape="box"];5343[label="primCmpInt (Pos Zero) (Neg (Succ ww4260))",fontsize=16,color="black",shape="box"];5343 -> 5375[label="",style="solid", color="black", weight=3]; 25.96/9.69 5344[label="primCmpInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];5344 -> 5376[label="",style="solid", color="black", weight=3]; 25.96/9.69 5345[label="ww1610",fontsize=16,color="green",shape="box"];5346[label="ww1700",fontsize=16,color="green",shape="box"];5347[label="ww1610",fontsize=16,color="green",shape="box"];5348[label="ww1700",fontsize=16,color="green",shape="box"];5349[label="ww1610",fontsize=16,color="green",shape="box"];5350[label="ww1700",fontsize=16,color="green",shape="box"];5351[label="LT",fontsize=16,color="green",shape="box"];5352[label="ww1610",fontsize=16,color="green",shape="box"];5353[label="ww1700",fontsize=16,color="green",shape="box"];5354[label="primCmpNat ww428 (Succ ww4210)",fontsize=16,color="burlywood",shape="triangle"];6541[label="ww428/Succ ww4280",fontsize=10,color="white",style="solid",shape="box"];5354 -> 6541[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6541 -> 5377[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6542[label="ww428/Zero",fontsize=10,color="white",style="solid",shape="box"];5354 -> 6542[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6542 -> 5378[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5355[label="ww1610",fontsize=16,color="green",shape="box"];5356[label="ww1700",fontsize=16,color="green",shape="box"];5357[label="ww1610",fontsize=16,color="green",shape="box"];5358[label="ww1700",fontsize=16,color="green",shape="box"];5359[label="ww1610",fontsize=16,color="green",shape="box"];5360[label="ww1700",fontsize=16,color="green",shape="box"];5361[label="primCmpInt (Neg Zero) (Pos (Succ ww4290))",fontsize=16,color="black",shape="box"];5361 -> 5379[label="",style="solid", color="black", weight=3]; 25.96/9.69 5362[label="primCmpInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];5362 -> 5380[label="",style="solid", color="black", weight=3]; 25.96/9.69 5363[label="ww1610",fontsize=16,color="green",shape="box"];5364[label="ww1700",fontsize=16,color="green",shape="box"];5365[label="primCmpInt (Neg Zero) (Neg (Succ ww4300))",fontsize=16,color="black",shape="box"];5365 -> 5381[label="",style="solid", color="black", weight=3]; 25.96/9.69 5366[label="primCmpInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];5366 -> 5382[label="",style="solid", color="black", weight=3]; 25.96/9.69 5367[label="ww1610",fontsize=16,color="green",shape="box"];5368[label="ww1700",fontsize=16,color="green",shape="box"];5369[label="ww1610",fontsize=16,color="green",shape="box"];5370[label="ww1700",fontsize=16,color="green",shape="box"];5371[label="primCmpNat (Succ ww4190) (Succ ww4230)",fontsize=16,color="black",shape="box"];5371 -> 5383[label="",style="solid", color="black", weight=3]; 25.96/9.69 5372[label="primCmpNat (Succ ww4190) Zero",fontsize=16,color="black",shape="box"];5372 -> 5384[label="",style="solid", color="black", weight=3]; 25.96/9.69 5373 -> 5354[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5373[label="primCmpNat Zero (Succ ww4250)",fontsize=16,color="magenta"];5373 -> 5385[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5373 -> 5386[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5374[label="EQ",fontsize=16,color="green",shape="box"];5375[label="GT",fontsize=16,color="green",shape="box"];5376[label="EQ",fontsize=16,color="green",shape="box"];5377[label="primCmpNat (Succ ww4280) (Succ ww4210)",fontsize=16,color="black",shape="box"];5377 -> 5387[label="",style="solid", color="black", weight=3]; 25.96/9.69 5378[label="primCmpNat Zero (Succ ww4210)",fontsize=16,color="black",shape="box"];5378 -> 5388[label="",style="solid", color="black", weight=3]; 25.96/9.69 5379[label="LT",fontsize=16,color="green",shape="box"];5380[label="EQ",fontsize=16,color="green",shape="box"];5381 -> 5329[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5381[label="primCmpNat (Succ ww4300) Zero",fontsize=16,color="magenta"];5381 -> 5389[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5381 -> 5390[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5382[label="EQ",fontsize=16,color="green",shape="box"];5383[label="primCmpNat ww4190 ww4230",fontsize=16,color="burlywood",shape="triangle"];6543[label="ww4190/Succ ww41900",fontsize=10,color="white",style="solid",shape="box"];5383 -> 6543[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6543 -> 5391[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6544[label="ww4190/Zero",fontsize=10,color="white",style="solid",shape="box"];5383 -> 6544[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6544 -> 5392[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5384[label="GT",fontsize=16,color="green",shape="box"];5385[label="ww4250",fontsize=16,color="green",shape="box"];5386[label="Zero",fontsize=16,color="green",shape="box"];5387 -> 5383[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5387[label="primCmpNat ww4280 ww4210",fontsize=16,color="magenta"];5387 -> 5393[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5387 -> 5394[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5388[label="LT",fontsize=16,color="green",shape="box"];5389[label="ww4300",fontsize=16,color="green",shape="box"];5390[label="Zero",fontsize=16,color="green",shape="box"];5391[label="primCmpNat (Succ ww41900) ww4230",fontsize=16,color="burlywood",shape="box"];6545[label="ww4230/Succ ww42300",fontsize=10,color="white",style="solid",shape="box"];5391 -> 6545[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6545 -> 5395[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6546[label="ww4230/Zero",fontsize=10,color="white",style="solid",shape="box"];5391 -> 6546[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6546 -> 5396[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5392[label="primCmpNat Zero ww4230",fontsize=16,color="burlywood",shape="box"];6547[label="ww4230/Succ ww42300",fontsize=10,color="white",style="solid",shape="box"];5392 -> 6547[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6547 -> 5397[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 6548[label="ww4230/Zero",fontsize=10,color="white",style="solid",shape="box"];5392 -> 6548[label="",style="solid", color="burlywood", weight=9]; 25.96/9.69 6548 -> 5398[label="",style="solid", color="burlywood", weight=3]; 25.96/9.69 5393[label="ww4280",fontsize=16,color="green",shape="box"];5394[label="ww4210",fontsize=16,color="green",shape="box"];5395[label="primCmpNat (Succ ww41900) (Succ ww42300)",fontsize=16,color="black",shape="box"];5395 -> 5399[label="",style="solid", color="black", weight=3]; 25.96/9.69 5396[label="primCmpNat (Succ ww41900) Zero",fontsize=16,color="black",shape="box"];5396 -> 5400[label="",style="solid", color="black", weight=3]; 25.96/9.69 5397[label="primCmpNat Zero (Succ ww42300)",fontsize=16,color="black",shape="box"];5397 -> 5401[label="",style="solid", color="black", weight=3]; 25.96/9.69 5398[label="primCmpNat Zero Zero",fontsize=16,color="black",shape="box"];5398 -> 5402[label="",style="solid", color="black", weight=3]; 25.96/9.69 5399 -> 5383[label="",style="dashed", color="red", weight=0]; 25.96/9.69 5399[label="primCmpNat ww41900 ww42300",fontsize=16,color="magenta"];5399 -> 5403[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5399 -> 5404[label="",style="dashed", color="magenta", weight=3]; 25.96/9.69 5400[label="GT",fontsize=16,color="green",shape="box"];5401[label="LT",fontsize=16,color="green",shape="box"];5402[label="EQ",fontsize=16,color="green",shape="box"];5403[label="ww41900",fontsize=16,color="green",shape="box"];5404[label="ww42300",fontsize=16,color="green",shape="box"];} 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (8) 25.96/9.69 Complex Obligation (AND) 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (9) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_primCmpNat(Succ(ww41900), Succ(ww42300)) -> new_primCmpNat(ww41900, ww42300) 25.96/9.69 25.96/9.69 R is empty. 25.96/9.69 Q is empty. 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (10) QDPSizeChangeProof (EQUIVALENT) 25.96/9.69 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. 25.96/9.69 25.96/9.69 From the DPs we obtained the following set of size-change graphs: 25.96/9.69 *new_primCmpNat(Succ(ww41900), Succ(ww42300)) -> new_primCmpNat(ww41900, ww42300) 25.96/9.69 The graph contains the following edges 1 > 1, 2 > 2 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (11) 25.96/9.69 YES 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (12) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 25.96/9.69 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 25.96/9.69 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 25.96/9.69 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 25.96/9.69 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 25.96/9.69 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 25.96/9.69 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 25.96/9.69 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 25.96/9.69 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 25.96/9.69 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 25.96/9.69 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 25.96/9.69 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 25.96/9.69 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 25.96/9.69 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 25.96/9.69 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 25.96/9.69 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 25.96/9.69 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 25.96/9.69 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 25.96/9.69 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 25.96/9.69 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 25.96/9.69 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 25.96/9.69 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 25.96/9.69 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 25.96/9.69 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 25.96/9.69 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 25.96/9.69 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 25.96/9.69 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 25.96/9.69 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 25.96/9.69 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 25.96/9.69 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 25.96/9.69 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 25.96/9.69 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 25.96/9.69 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 25.96/9.69 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 25.96/9.69 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 25.96/9.69 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 25.96/9.69 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 25.96/9.69 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 25.96/9.69 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 25.96/9.69 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 25.96/9.69 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 25.96/9.69 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 25.96/9.69 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 25.96/9.69 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 25.96/9.69 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 25.96/9.69 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 25.96/9.69 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 25.96/9.69 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 25.96/9.69 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 25.96/9.69 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (13) DependencyGraphProof (EQUIVALENT) 25.96/9.69 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 6 SCCs. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (14) 25.96/9.69 Complex Obligation (AND) 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (15) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (16) TransformationProof (EQUIVALENT) 25.96/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 25.96/9.69 25.96/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (17) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (18) TransformationProof (EQUIVALENT) 25.96/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 25.96/9.69 25.96/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (19) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (20) TransformationProof (EQUIVALENT) 25.96/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 25.96/9.69 25.96/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (21) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (22) TransformationProof (EQUIVALENT) 25.96/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 25.96/9.69 25.96/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (23) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 25.96/9.69 new_primPlusNat0(Zero, Zero) -> Zero 25.96/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 25.96/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 25.96/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 25.96/9.69 25.96/9.69 The set Q consists of the following terms: 25.96/9.69 25.96/9.69 new_primPlusNat0(Zero, Succ(x0)) 25.96/9.69 new_primPlusNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 25.96/9.69 new_primMulNat1(Zero, x0) 25.96/9.69 new_primPlusNat0(Zero, Zero) 25.96/9.69 new_primMulNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat1(Succ(x0), x1) 25.96/9.69 new_primPlusNat0(Succ(x0), Zero) 25.96/9.69 25.96/9.69 We have to consider all minimal (P,Q,R)-chains. 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (24) TransformationProof (EQUIVALENT) 25.96/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 25.96/9.69 25.96/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 25.96/9.69 25.96/9.69 25.96/9.69 ---------------------------------------- 25.96/9.69 25.96/9.69 (25) 25.96/9.69 Obligation: 25.96/9.69 Q DP problem: 25.96/9.69 The TRS P consists of the following rules: 25.96/9.69 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 25.96/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 25.96/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 25.96/9.69 25.96/9.69 The TRS R consists of the following rules: 25.96/9.69 25.96/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 25.96/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 25.96/9.69 new_primMulNat1(Zero, ww40100) -> Zero 25.96/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.69 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.69 26.01/9.69 The set Q consists of the following terms: 26.01/9.69 26.01/9.69 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.69 new_primPlusNat1(Zero, x0) 26.01/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.69 new_primMulNat1(Zero, x0) 26.01/9.69 new_primPlusNat0(Zero, Zero) 26.01/9.69 new_primMulNat1(Succ(x0), x1) 26.01/9.69 new_primPlusNat1(Succ(x0), x1) 26.01/9.69 new_primPlusNat0(Succ(x0), Zero) 26.01/9.69 26.01/9.69 We have to consider all minimal (P,Q,R)-chains. 26.01/9.69 ---------------------------------------- 26.01/9.69 26.01/9.69 (26) TransformationProof (EQUIVALENT) 26.01/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.69 26.01/9.69 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.69 26.01/9.69 26.01/9.69 ---------------------------------------- 26.01/9.69 26.01/9.69 (27) 26.01/9.69 Obligation: 26.01/9.69 Q DP problem: 26.01/9.69 The TRS P consists of the following rules: 26.01/9.69 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.69 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.69 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.69 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.69 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.69 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.69 26.01/9.69 The TRS R consists of the following rules: 26.01/9.69 26.01/9.69 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.69 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.69 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.69 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.69 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.69 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.69 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.69 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.69 26.01/9.69 The set Q consists of the following terms: 26.01/9.69 26.01/9.69 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.69 new_primPlusNat1(Zero, x0) 26.01/9.69 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.69 new_primMulNat1(Zero, x0) 26.01/9.69 new_primPlusNat0(Zero, Zero) 26.01/9.69 new_primMulNat1(Succ(x0), x1) 26.01/9.69 new_primPlusNat1(Succ(x0), x1) 26.01/9.69 new_primPlusNat0(Succ(x0), Zero) 26.01/9.69 26.01/9.69 We have to consider all minimal (P,Q,R)-chains. 26.01/9.69 ---------------------------------------- 26.01/9.69 26.01/9.69 (28) TransformationProof (EQUIVALENT) 26.01/9.69 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (29) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (30) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (31) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (32) QDPSizeChangeProof (EQUIVALENT) 26.01/9.70 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. 26.01/9.70 26.01/9.70 From the DPs we obtained the following set of size-change graphs: 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy039(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy042(ww4000000, ww3100, ww41, Succ(ww3060)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy042(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy038(ww4000000, ww40100, ww3100, ww41, Succ(ww2820)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy038(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy043(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy056(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy055(ww4000000, ww3100, ww41, Succ(ww3970)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy055(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy051(ww4000000, ww40100, ww3100, ww41, Succ(ww3730)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy051(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy052(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy039(ww40100, ww3100, ww41, Succ(ww2860)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy043(ww3100, ww41, Succ(ww3100)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy056(ww3100, ww41, Succ(ww4010)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy052(ww40100, ww3100, ww41, Succ(ww3770)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (33) 26.01/9.70 YES 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (34) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (35) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (36) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (37) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (38) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (39) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (40) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (41) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (42) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (43) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (44) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (45) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (46) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (47) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (48) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (49) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (50) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (51) QDPSizeChangeProof (EQUIVALENT) 26.01/9.70 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. 26.01/9.70 26.01/9.70 From the DPs we obtained the following set of size-change graphs: 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy054(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy050(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy040(ww4000000, ww3100, ww41, Succ(ww3000)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy040(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy041(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy037(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy049(ww4000000, ww40100, ww3100, ww41, Succ(ww3670)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy049(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy053(ww4000000, ww3100, ww41, Succ(ww3910)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy053(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy036(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy036(ww4000000, ww40100, ww3100, ww41, Succ(ww2760)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy054(ww3100, ww41, Succ(ww3950)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy050(ww40100, ww3100, ww41, Succ(ww3710)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy041(ww3100, ww41, Succ(ww3040)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy037(ww40100, ww3100, ww41, Succ(ww2800)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Neg(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (52) 26.01/9.70 YES 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (53) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (54) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (55) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (56) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (57) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (58) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (59) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (60) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (61) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (62) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (63) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (64) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (65) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (66) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (67) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (68) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (69) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (70) QDPSizeChangeProof (EQUIVALENT) 26.01/9.70 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. 26.01/9.70 26.01/9.70 From the DPs we obtained the following set of size-change graphs: 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy028(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy024(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy027(ww4000000, ww3100, ww41, Succ(ww2110)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy027(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy010(ww4000000, ww40100, ww3100, ww41, Succ(ww1020)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy010(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy015(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy014(ww4000000, ww3100, ww41, Succ(ww1260)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy014(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy011(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.70 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy023(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy023(ww4000000, ww40100, ww3100, ww41, Succ(ww1870)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 4 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy028(ww3100, ww41, Succ(ww2150)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy024(ww40100, ww3100, ww41, Succ(ww1910)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy015(ww3100, ww41, Succ(ww1300)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 2 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy011(ww40100, ww3100, ww41, Succ(ww1060)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 3 >= 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 *new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Neg(Succ(ww3100))), ww41) 26.01/9.70 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (71) 26.01/9.70 YES 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (72) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (73) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (74) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (75) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (76) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (77) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (78) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.70 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.70 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.70 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.70 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.70 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.70 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.70 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.70 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.70 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.70 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.70 26.01/9.70 The TRS R consists of the following rules: 26.01/9.70 26.01/9.70 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.70 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.70 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.70 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.70 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.70 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.70 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.70 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.70 26.01/9.70 The set Q consists of the following terms: 26.01/9.70 26.01/9.70 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.70 new_primPlusNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.70 new_primMulNat1(Zero, x0) 26.01/9.70 new_primPlusNat0(Zero, Zero) 26.01/9.70 new_primMulNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat1(Succ(x0), x1) 26.01/9.70 new_primPlusNat0(Succ(x0), Zero) 26.01/9.70 26.01/9.70 We have to consider all minimal (P,Q,R)-chains. 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (79) TransformationProof (EQUIVALENT) 26.01/9.70 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.70 26.01/9.70 (new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.70 26.01/9.70 26.01/9.70 ---------------------------------------- 26.01/9.70 26.01/9.70 (80) 26.01/9.70 Obligation: 26.01/9.70 Q DP problem: 26.01/9.70 The TRS P consists of the following rules: 26.01/9.70 26.01/9.70 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.70 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.70 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (81) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (82) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (83) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (84) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (85) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (86) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (87) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (88) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (89) QDPSizeChangeProof (EQUIVALENT) 26.01/9.71 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. 26.01/9.71 26.01/9.71 From the DPs we obtained the following set of size-change graphs: 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy0(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat1(new_primMulNat1(ww3000, ww40100), ww40100)) 26.01/9.71 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 1 > 4, 2 > 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy018(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 1 > 4, 2 > 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1770)) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Zero) -> new_insertBy059(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy019(ww4000000, ww3000, ww3100, ww41, Succ(ww1570)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy019(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy020(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy06(ww4000000, ww3000, ww3100, ww41, Succ(ww660)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy06(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy07(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy018(Pos(Succ(ww3000)), ww31, ww32, Neg(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy057(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18300)), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Succ(ww14400)) -> new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, ww18300, ww14400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy061(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18300), Zero) -> new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy062(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Neg(Succ(ww3300))), ww34) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, Succ(ww1790)) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Zero) -> new_insertBy060(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy018(Neg(Succ(ww3000)), ww31, ww32, Pos(Succ(ww3300)), ww34, Succ(ww1440)) -> new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, new_primPlusNat0(new_primMulNat1(ww3000, ww3300), Succ(ww3300)), ww1440) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy022(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy09(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy08(ww4000000, ww3000, ww3100, ww41, Succ(ww720)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy08(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy021(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy021(ww4000000, ww3000, ww3100, ww41, Succ(ww1630)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) -> new_insertBy(:%(Pos(Succ(ww32)), Pos(Succ(ww3300))), ww34) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy058(ww3000, ww31, ww32, ww3300, ww34, Succ(Succ(ww18500)), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Zero) -> new_insertBy064(ww3000, ww31, ww32, ww3300, ww34) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, Succ(ww18500), Succ(ww14400)) -> new_insertBy063(ww3000, ww31, ww32, ww3300, ww34, ww18500, ww14400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 6 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9400))) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy01(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9400)) -> new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9400) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy085(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy086(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, Succ(ww880)) -> new_insertBy084(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 The graph contains the following edges 2 >= 2, 3 >= 3, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Zero) -> new_insertBy03(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy084(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, Succ(ww860)) -> new_insertBy083(Succ(ww2400), ww25, ww26, Succ(ww2700), ww28) 26.01/9.71 The graph contains the following edges 2 >= 2, 3 >= 3, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Neg(Succ(ww2700)), ww28, Zero) -> new_insertBy02(ww2400, ww25, ww26, ww2700, ww28, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, new_primPlusNat0(new_primMulNat1(ww2400, ww2700), Succ(ww2700))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 6 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy083(ww240, ww25, ww26, ww270, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, ww600, Zero) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Succ(ww9200))) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy00(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(Zero)) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Succ(ww9200)) -> new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, ww6000, ww9200) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy04(ww2400, ww25, ww26, ww2700, ww28, Succ(ww6000), Zero) -> new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy05(ww2400, ww25, ww26, ww2700, ww28) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy020(ww3000, ww3100, ww41, Succ(ww1610)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy07(ww3000, ww3100, ww41, Succ(ww700)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy022(ww3000, ww3100, ww41, Succ(ww1670)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy09(ww3000, ww3100, ww41, Succ(ww760)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(ww240), ww25, ww26, Neg(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(ww270)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(Zero), ww25, ww26, Neg(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(ww240), ww25, ww26, Pos(ww270), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(ww270)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(Zero), ww25, ww26, Pos(Succ(ww2700)), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Succ(ww2700))), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(Zero), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Neg(Succ(ww2400)), ww25, ww26, Neg(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Neg(Zero)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(Succ(ww2400)), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy0(Pos(Zero), ww25, ww26, Pos(Zero), ww28, Succ(ww600)) -> new_insertBy(:%(Pos(Succ(ww26)), Pos(Zero)), ww28) 26.01/9.71 The graph contains the following edges 5 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (90) 26.01/9.71 YES 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (91) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (92) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (93) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (94) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (95) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (96) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [2,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (97) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (98) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (99) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (100) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (101) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (102) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (103) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (104) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [2] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (105) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (106) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (107) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (108) QDPSizeChangeProof (EQUIVALENT) 26.01/9.71 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. 26.01/9.71 26.01/9.71 From the DPs we obtained the following set of size-change graphs: 26.01/9.71 *new_insertBy025(ww4000000, ww40100, ww3100, ww41, Succ(ww1930)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Succ(ww40100))), ww41)) -> new_insertBy025(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy030(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy016(ww4000000, ww3100, ww41, Succ(ww1320)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy016(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy012(ww4000000, ww40100, ww3100, ww41, Succ(ww1080)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 4 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Succ(ww40100))), ww41)) -> new_insertBy012(ww4000000, ww40100, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 2 > 4 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Succ(ww40100))), ww41)) -> new_insertBy026(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy017(ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 1 > 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy029(ww4000000, ww3100, ww41, Succ(ww2170)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy029(ww4000000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Succ(ww40100))), ww41)) -> new_insertBy013(ww40100, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.71 The graph contains the following edges 2 > 1, 1 > 2, 2 > 3 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy030(ww3100, ww41, Succ(ww2210)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 2 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy026(ww40100, ww3100, ww41, Succ(ww1970)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy017(ww3100, ww41, Succ(ww1360)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 2 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy013(ww40100, ww3100, ww41, Succ(ww1120)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 3 >= 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 *new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Succ(ww40100))), ww41)) -> new_insertBy(:%(Pos(Zero), Pos(Succ(ww3100))), ww41) 26.01/9.71 The graph contains the following edges 1 >= 1, 2 > 2 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (109) 26.01/9.71 YES 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (110) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (111) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (112) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (113) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (114) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.71 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.71 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.71 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.71 26.01/9.71 The TRS R consists of the following rules: 26.01/9.71 26.01/9.71 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.71 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.71 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.71 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.71 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.71 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.71 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.71 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.71 26.01/9.71 The set Q consists of the following terms: 26.01/9.71 26.01/9.71 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.71 new_primPlusNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.71 new_primMulNat1(Zero, x0) 26.01/9.71 new_primPlusNat0(Zero, Zero) 26.01/9.71 new_primMulNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat1(Succ(x0), x1) 26.01/9.71 new_primPlusNat0(Succ(x0), Zero) 26.01/9.71 26.01/9.71 We have to consider all minimal (P,Q,R)-chains. 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (115) TransformationProof (EQUIVALENT) 26.01/9.71 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.71 26.01/9.71 (new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.71 26.01/9.71 26.01/9.71 ---------------------------------------- 26.01/9.71 26.01/9.71 (116) 26.01/9.71 Obligation: 26.01/9.71 Q DP problem: 26.01/9.71 The TRS P consists of the following rules: 26.01/9.71 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.71 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.71 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.71 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.71 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.71 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.71 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.71 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.71 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.71 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.71 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 26.01/9.72 The TRS R consists of the following rules: 26.01/9.72 26.01/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.72 26.01/9.72 The set Q consists of the following terms: 26.01/9.72 26.01/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.72 new_primPlusNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.72 new_primMulNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Zero, Zero) 26.01/9.72 new_primMulNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat0(Succ(x0), Zero) 26.01/9.72 26.01/9.72 We have to consider all minimal (P,Q,R)-chains. 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (117) TransformationProof (EQUIVALENT) 26.01/9.72 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(Zero, Succ(ww3100)), Succ(ww3100))) at position [3,0] we obtained the following new rules [LPAR04]: 26.01/9.72 26.01/9.72 (new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))),new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100)))) 26.01/9.72 26.01/9.72 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (118) 26.01/9.72 Obligation: 26.01/9.72 Q DP problem: 26.01/9.72 The TRS P consists of the following rules: 26.01/9.72 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 26.01/9.72 The TRS R consists of the following rules: 26.01/9.72 26.01/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.72 26.01/9.72 The set Q consists of the following terms: 26.01/9.72 26.01/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.72 new_primPlusNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.72 new_primMulNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Zero, Zero) 26.01/9.72 new_primMulNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat0(Succ(x0), Zero) 26.01/9.72 26.01/9.72 We have to consider all minimal (P,Q,R)-chains. 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (119) TransformationProof (EQUIVALENT) 26.01/9.72 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.72 26.01/9.72 (new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.72 26.01/9.72 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (120) 26.01/9.72 Obligation: 26.01/9.72 Q DP problem: 26.01/9.72 The TRS P consists of the following rules: 26.01/9.72 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 26.01/9.72 The TRS R consists of the following rules: 26.01/9.72 26.01/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.72 26.01/9.72 The set Q consists of the following terms: 26.01/9.72 26.01/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.72 new_primPlusNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.72 new_primMulNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Zero, Zero) 26.01/9.72 new_primMulNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat0(Succ(x0), Zero) 26.01/9.72 26.01/9.72 We have to consider all minimal (P,Q,R)-chains. 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (121) TransformationProof (EQUIVALENT) 26.01/9.72 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.72 26.01/9.72 (new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.72 26.01/9.72 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (122) 26.01/9.72 Obligation: 26.01/9.72 Q DP problem: 26.01/9.72 The TRS P consists of the following rules: 26.01/9.72 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 26.01/9.72 The TRS R consists of the following rules: 26.01/9.72 26.01/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.72 26.01/9.72 The set Q consists of the following terms: 26.01/9.72 26.01/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.72 new_primPlusNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.72 new_primMulNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Zero, Zero) 26.01/9.72 new_primMulNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat0(Succ(x0), Zero) 26.01/9.72 26.01/9.72 We have to consider all minimal (P,Q,R)-chains. 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (123) TransformationProof (EQUIVALENT) 26.01/9.72 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.72 26.01/9.72 (new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.72 26.01/9.72 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (124) 26.01/9.72 Obligation: 26.01/9.72 Q DP problem: 26.01/9.72 The TRS P consists of the following rules: 26.01/9.72 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.01/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.01/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.01/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.01/9.72 26.01/9.72 The TRS R consists of the following rules: 26.01/9.72 26.01/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.01/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.01/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.01/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.01/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.01/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.01/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.01/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.01/9.72 26.01/9.72 The set Q consists of the following terms: 26.01/9.72 26.01/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.01/9.72 new_primPlusNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.01/9.72 new_primMulNat1(Zero, x0) 26.01/9.72 new_primPlusNat0(Zero, Zero) 26.01/9.72 new_primMulNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat1(Succ(x0), x1) 26.01/9.72 new_primPlusNat0(Succ(x0), Zero) 26.01/9.72 26.01/9.72 We have to consider all minimal (P,Q,R)-chains. 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (125) TransformationProof (EQUIVALENT) 26.01/9.72 By rewriting [LPAR04] the rule new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, new_primPlusNat0(Succ(ww3100), Succ(ww3100))) at position [3] we obtained the following new rules [LPAR04]: 26.01/9.72 26.01/9.72 (new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))),new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100))))) 26.01/9.72 26.01/9.72 26.01/9.72 ---------------------------------------- 26.01/9.72 26.01/9.72 (126) 26.01/9.72 Obligation: 26.01/9.72 Q DP problem: 26.01/9.72 The TRS P consists of the following rules: 26.01/9.72 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.01/9.72 new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.01/9.72 new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.01/9.72 new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.01/9.72 new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.01/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.01/9.72 new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.01/9.72 new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.01/9.72 new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.01/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.01/9.72 new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.06/9.72 new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.06/9.72 new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.06/9.72 new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.06/9.72 new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.06/9.72 new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.06/9.72 new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.06/9.72 new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.06/9.72 new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.06/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.06/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.06/9.72 new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.06/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.06/9.72 new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.06/9.72 new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.06/9.72 new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.06/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.06/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.06/9.72 new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.06/9.72 new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 26.06/9.72 The TRS R consists of the following rules: 26.06/9.72 26.06/9.72 new_primPlusNat0(Succ(ww5900), Zero) -> Succ(ww5900) 26.06/9.72 new_primPlusNat0(Zero, Succ(ww401000)) -> Succ(ww401000) 26.06/9.72 new_primMulNat1(Zero, ww40100) -> Zero 26.06/9.72 new_primPlusNat0(Succ(ww5900), Succ(ww401000)) -> Succ(Succ(new_primPlusNat0(ww5900, ww401000))) 26.06/9.72 new_primPlusNat0(Zero, Zero) -> Zero 26.06/9.72 new_primPlusNat1(Succ(ww590), ww40100) -> Succ(Succ(new_primPlusNat0(ww590, ww40100))) 26.06/9.72 new_primPlusNat1(Zero, ww40100) -> Succ(ww40100) 26.06/9.72 new_primMulNat1(Succ(ww30000), ww40100) -> new_primPlusNat1(new_primMulNat1(ww30000, ww40100), ww40100) 26.06/9.72 26.06/9.72 The set Q consists of the following terms: 26.06/9.72 26.06/9.72 new_primPlusNat0(Zero, Succ(x0)) 26.06/9.72 new_primPlusNat1(Zero, x0) 26.06/9.72 new_primPlusNat0(Succ(x0), Succ(x1)) 26.06/9.72 new_primMulNat1(Zero, x0) 26.06/9.72 new_primPlusNat0(Zero, Zero) 26.06/9.72 new_primMulNat1(Succ(x0), x1) 26.06/9.72 new_primPlusNat1(Succ(x0), x1) 26.06/9.72 new_primPlusNat0(Succ(x0), Zero) 26.06/9.72 26.06/9.72 We have to consider all minimal (P,Q,R)-chains. 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (127) QDPSizeChangeProof (EQUIVALENT) 26.06/9.72 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. 26.06/9.72 26.06/9.72 From the DPs we obtained the following set of size-change graphs: 26.06/9.72 *new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2600)) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Pos(Succ(ww40100))), ww41)) -> new_insertBy031(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.06/9.72 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 1 > 4, 2 > 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Zero) -> new_insertBy067(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy032(ww4000000, ww3000, ww3100, ww41, Succ(ww2400)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 4 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy032(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.06/9.72 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), ww31), :(:%(ww400, Neg(Succ(ww40100))), ww41)) -> new_insertBy044(ww400, ww40100, ww3000, ww31, ww41, new_primPlusNat0(new_primMulNat1(ww3000, ww40100), Succ(ww40100))) 26.06/9.72 The graph contains the following edges 2 > 1, 2 > 2, 1 > 3, 1 > 4, 2 > 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 6 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy045(ww4000000, ww3000, ww3100, ww41, Succ(ww3310)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 4 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy045(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.06/9.72 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy033(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy046(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy074(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35900))) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy082(ww4900, ww50, ww51, ww5200, ww53) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35900)) -> new_insertBy081(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, Zero) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, ww3180, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 6 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Succ(ww35700))) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy073(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(Zero)) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Succ(ww35700)) -> new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, ww31800, ww35700) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy077(ww4900, ww50, ww51, ww5200, ww53, Succ(ww31800), Zero) -> new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy078(ww4900, ww50, ww51, ww5200, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Neg(Zero)), ww41)) -> new_insertBy048(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy047(ww4000000, ww3000, ww3100, ww41, Succ(ww3370)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 4 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Neg(Zero)), ww41)) -> new_insertBy047(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.06/9.72 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Zero))), Pos(Zero)), ww41)) -> new_insertBy035(ww3000, ww3100, ww41, Succ(Succ(new_primPlusNat0(ww3100, ww3100)))) 26.06/9.72 The graph contains the following edges 1 > 1, 1 > 2, 2 > 3 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Succ(Succ(ww4000000)))), Pos(Zero)), ww41)) -> new_insertBy034(ww4000000, ww3000, ww3100, ww41, new_primPlusNat0(new_primPlusNat0(new_primPlusNat0(new_primMulNat1(ww4000000, ww3100), Succ(ww3100)), Succ(ww3100)), Succ(ww3100))) 26.06/9.72 The graph contains the following edges 2 > 1, 1 > 2, 1 > 3, 2 > 4 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy034(ww4000000, ww3000, ww3100, ww41, Succ(ww2460)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 4 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3510)) -> new_insertBy079(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.06/9.72 The graph contains the following edges 2 >= 2, 3 >= 3, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy079(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Neg(Succ(ww5200)), ww53, Zero) -> new_insertBy075(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Pos(Succ(ww5200)), ww53, Zero) -> new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, new_primPlusNat0(new_primMulNat1(ww4900, ww5200), Succ(ww5200))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy076(ww4900, ww50, ww51, ww5200, ww53, Succ(ww3530)) -> new_insertBy080(Succ(ww4900), ww50, ww51, Succ(ww5200), ww53) 26.06/9.72 The graph contains the following edges 2 >= 2, 3 >= 3, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy080(ww490, ww50, ww51, ww520, ww53) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy066(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26800)), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Zero) -> new_insertBy072(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26800), Succ(ww22900)) -> new_insertBy071(ww4300, ww44, ww45, ww4600, ww47, ww26800, ww22900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, Succ(ww2620)) -> new_insertBy(:%(Neg(Succ(ww45)), Pos(Succ(ww4600))), ww47) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy031(Neg(Succ(ww4300)), ww44, ww45, Pos(Succ(ww4600)), ww47, Zero) -> new_insertBy068(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600))) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy031(Pos(Succ(ww4300)), ww44, ww45, Neg(Succ(ww4600)), ww47, Succ(ww2290)) -> new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, new_primPlusNat0(new_primMulNat1(ww4300, ww4600), Succ(ww4600)), ww2290) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 > 4, 5 >= 5, 6 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy065(ww4300, ww44, ww45, ww4600, ww47, Succ(Succ(ww26600)), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Succ(ww22900)) -> new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, ww26600, ww22900) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 > 6, 7 > 7 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy069(ww4300, ww44, ww45, ww4600, ww47, Succ(ww26600), Zero) -> new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy070(ww4300, ww44, ww45, ww4600, ww47) -> new_insertBy(:%(Neg(Succ(ww45)), Neg(Succ(ww4600))), ww47) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy033(ww3000, ww3100, ww41, Succ(ww2440)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 3 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy046(ww3000, ww3100, ww41, Succ(ww3350)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 3 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy048(ww3000, ww3100, ww41, Succ(ww3410)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 3 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy035(ww3000, ww3100, ww41, Succ(ww2500)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 3 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 > 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), :(:%(Pos(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Neg(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 > 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(ww490), ww50, ww51, Neg(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(ww520)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(Zero), ww50, ww51, Neg(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(Zero), ww50, ww51, Pos(Succ(ww5200)), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Succ(ww5200))), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(ww490), ww50, ww51, Pos(ww520), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(ww520)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(Succ(ww4900)), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(Zero), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Pos(Zero), ww50, ww51, Pos(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Pos(Zero)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy044(Neg(Succ(ww4900)), ww50, ww51, Neg(Zero), ww53, Succ(ww3180)) -> new_insertBy(:%(Neg(Succ(ww51)), Neg(Zero)), ww53) 26.06/9.72 The graph contains the following edges 5 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Neg(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 > 2 26.06/9.72 26.06/9.72 26.06/9.72 *new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), :(:%(Neg(Succ(Zero)), Pos(Zero)), ww41)) -> new_insertBy(:%(Neg(Succ(ww3000)), Pos(Succ(ww3100))), ww41) 26.06/9.72 The graph contains the following edges 1 >= 1, 2 > 2 26.06/9.72 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (128) 26.06/9.72 YES 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (129) 26.06/9.72 Obligation: 26.06/9.72 Q DP problem: 26.06/9.72 The TRS P consists of the following rules: 26.06/9.72 26.06/9.72 new_primMulNat0(Succ(ww30000), ww40100) -> new_primMulNat0(ww30000, ww40100) 26.06/9.72 26.06/9.72 R is empty. 26.06/9.72 Q is empty. 26.06/9.72 We have to consider all minimal (P,Q,R)-chains. 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (130) QDPSizeChangeProof (EQUIVALENT) 26.06/9.72 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. 26.06/9.72 26.06/9.72 From the DPs we obtained the following set of size-change graphs: 26.06/9.72 *new_primMulNat0(Succ(ww30000), ww40100) -> new_primMulNat0(ww30000, ww40100) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (131) 26.06/9.72 YES 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (132) 26.06/9.72 Obligation: 26.06/9.72 Q DP problem: 26.06/9.72 The TRS P consists of the following rules: 26.06/9.72 26.06/9.72 new_primMulNat(Succ(ww16000), Succ(ww17100)) -> new_primMulNat(ww16000, Succ(ww17100)) 26.06/9.72 26.06/9.72 R is empty. 26.06/9.72 Q is empty. 26.06/9.72 We have to consider all minimal (P,Q,R)-chains. 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (133) QDPSizeChangeProof (EQUIVALENT) 26.06/9.72 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. 26.06/9.72 26.06/9.72 From the DPs we obtained the following set of size-change graphs: 26.06/9.72 *new_primMulNat(Succ(ww16000), Succ(ww17100)) -> new_primMulNat(ww16000, Succ(ww17100)) 26.06/9.72 The graph contains the following edges 1 > 1, 2 >= 2 26.06/9.72 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (134) 26.06/9.72 YES 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (135) 26.06/9.72 Obligation: 26.06/9.72 Q DP problem: 26.06/9.72 The TRS P consists of the following rules: 26.06/9.72 26.06/9.72 new_primPlusNat(Succ(ww5900), Succ(ww401000)) -> new_primPlusNat(ww5900, ww401000) 26.06/9.72 26.06/9.72 R is empty. 26.06/9.72 Q is empty. 26.06/9.72 We have to consider all minimal (P,Q,R)-chains. 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (136) QDPSizeChangeProof (EQUIVALENT) 26.06/9.72 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. 26.06/9.72 26.06/9.72 From the DPs we obtained the following set of size-change graphs: 26.06/9.72 *new_primPlusNat(Succ(ww5900), Succ(ww401000)) -> new_primPlusNat(ww5900, ww401000) 26.06/9.72 The graph contains the following edges 1 > 1, 2 > 2 26.06/9.72 26.06/9.72 26.06/9.72 ---------------------------------------- 26.06/9.72 26.06/9.72 (137) 26.06/9.72 YES 26.14/9.81 EOF