/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.hs /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


MAYBE
proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs
# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty


H-Termination with start terms of the given HASKELL could not be shown:

(0) HASKELL
(1) LR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) IPR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) BR [EQUIVALENT, 0 ms]
(6) HASKELL
(7) COR [EQUIVALENT, 0 ms]
(8) HASKELL
(9) Narrow [SOUND, 0 ms]
(10) AND
    (11) QDP
        (12) TransformationProof [EQUIVALENT, 0 ms]
        (13) QDP
        (14) UsableRulesProof [EQUIVALENT, 0 ms]
        (15) QDP
        (16) QReductionProof [EQUIVALENT, 0 ms]
        (17) QDP
        (18) TransformationProof [EQUIVALENT, 0 ms]
        (19) QDP
        (20) UsableRulesProof [EQUIVALENT, 0 ms]
        (21) QDP
        (22) QReductionProof [EQUIVALENT, 0 ms]
        (23) QDP
        (24) TransformationProof [EQUIVALENT, 0 ms]
        (25) QDP
        (26) TransformationProof [EQUIVALENT, 0 ms]
        (27) QDP
        (28) UsableRulesProof [EQUIVALENT, 0 ms]
        (29) QDP
        (30) QReductionProof [EQUIVALENT, 0 ms]
        (31) QDP
        (32) TransformationProof [EQUIVALENT, 0 ms]
        (33) QDP
        (34) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (35) YES
    (36) QDP
        (37) DependencyGraphProof [EQUIVALENT, 0 ms]
        (38) QDP
        (39) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (40) YES
    (41) QDP
        (42) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (43) YES
    (44) QDP
        (45) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (46) YES
    (47) QDP
        (48) MRRProof [EQUIVALENT, 65 ms]
        (49) QDP
        (50) DependencyGraphProof [EQUIVALENT, 0 ms]
        (51) AND
            (52) QDP
                (53) MRRProof [EQUIVALENT, 0 ms]
                (54) QDP
                (55) QReductionProof [EQUIVALENT, 0 ms]
                (56) QDP
                (57) NonTerminationLoopProof [COMPLETE, 0 ms]
                (58) NO
            (59) QDP
                (60) MRRProof [EQUIVALENT, 0 ms]
                (61) QDP
                (62) QReductionProof [EQUIVALENT, 0 ms]
                (63) QDP
                (64) NonTerminationLoopProof [COMPLETE, 0 ms]
                (65) NO
    (66) QDP
        (67) TransformationProof [EQUIVALENT, 0 ms]
        (68) QDP
        (69) UsableRulesProof [EQUIVALENT, 0 ms]
        (70) QDP
        (71) QReductionProof [EQUIVALENT, 0 ms]
        (72) QDP
        (73) TransformationProof [EQUIVALENT, 0 ms]
        (74) QDP
        (75) UsableRulesProof [EQUIVALENT, 0 ms]
        (76) QDP
        (77) QReductionProof [EQUIVALENT, 0 ms]
        (78) QDP
        (79) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (80) YES
    (81) QDP
        (82) TransformationProof [EQUIVALENT, 0 ms]
        (83) QDP
        (84) UsableRulesProof [EQUIVALENT, 0 ms]
        (85) QDP
        (86) QReductionProof [EQUIVALENT, 0 ms]
        (87) QDP
        (88) TransformationProof [EQUIVALENT, 0 ms]
        (89) QDP
        (90) UsableRulesProof [EQUIVALENT, 0 ms]
        (91) QDP
        (92) QReductionProof [EQUIVALENT, 0 ms]
        (93) QDP
        (94) TransformationProof [EQUIVALENT, 0 ms]
        (95) QDP
        (96) TransformationProof [EQUIVALENT, 0 ms]
        (97) QDP
        (98) UsableRulesProof [EQUIVALENT, 0 ms]
        (99) QDP
        (100) QReductionProof [EQUIVALENT, 0 ms]
        (101) QDP
        (102) TransformationProof [EQUIVALENT, 0 ms]
        (103) QDP
        (104) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (105) YES
    (106) QDP
        (107) QDPSizeChangeProof [EQUIVALENT, 0 ms]
        (108) YES
(109) Narrow [COMPLETE, 0 ms]
(110) TRUE


----------------------------------------

(0)
Obligation:
mainModule Main 
module Maybe where {
import qualified Main;
import qualified Monad;
import qualified Prelude;
}
module Main where {
import qualified Maybe;
import qualified Monad;
import qualified Prelude;
}
module Monad where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
mapAndUnzipM :: Monad b => (c  ->  b (a,d))  ->  [c]  ->  b ([a],[d]);
mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;

}

----------------------------------------

(1) LR (EQUIVALENT)
Lambda Reductions:
The following Lambda expression
"\(a,b)~(as,bs)->(a : as,b : bs)"
is transformed to
"unzip0 (a,b) ~(as,bs) = (a : as,b : bs);
"
The following Lambda expression
"\xs->return (x : xs)"
is transformed to
"sequence0 x xs = return (x : xs);
"
The following Lambda expression
"\x->sequence cs >>= sequence0 x"
is transformed to
"sequence1 cs x = sequence cs >>= sequence0 x;
"

----------------------------------------

(2)
Obligation:
mainModule Main 
module Maybe where {
import qualified Main;
import qualified Monad;
import qualified Prelude;
}
module Main where {
import qualified Maybe;
import qualified Monad;
import qualified Prelude;
}
module Monad where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
mapAndUnzipM :: Monad d => (b  ->  d (a,c))  ->  [b]  ->  d ([a],[c]);
mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;

}

----------------------------------------

(3) IPR (EQUIVALENT)
IrrPat Reductions:
The variables of the following irrefutable Pattern
"~(as,bs)"
are replaced by calls to these functions
"unzip00 (as,bs) = as;
"
"unzip01 (as,bs) = bs;
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Maybe where {
import qualified Main;
import qualified Monad;
import qualified Prelude;
}
module Main where {
import qualified Maybe;
import qualified Monad;
import qualified Prelude;
}
module Monad where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
mapAndUnzipM :: Monad d => (b  ->  d (c,a))  ->  [b]  ->  d ([c],[a]);
mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;

}

----------------------------------------

(5) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(6)
Obligation:
mainModule Main 
module Maybe where {
import qualified Main;
import qualified Monad;
import qualified Prelude;
}
module Main where {
import qualified Maybe;
import qualified Monad;
import qualified Prelude;
}
module Monad where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
mapAndUnzipM :: Monad b => (a  ->  b (d,c))  ->  [a]  ->  b ([d],[c]);
mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;

}

----------------------------------------

(7) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(8)
Obligation:
mainModule Main 
module Maybe where {
import qualified Main;
import qualified Monad;
import qualified Prelude;
}
module Main where {
import qualified Maybe;
import qualified Monad;
import qualified Prelude;
}
module Monad where {
import qualified Main;
import qualified Maybe;
import qualified Prelude;
mapAndUnzipM :: Monad c => (d  ->  c (b,a))  ->  [d]  ->  c ([b],[a]);
mapAndUnzipM f xs = sequence (map f xs) >>= return . unzip;

}

----------------------------------------

(9) Narrow (SOUND)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="Monad.mapAndUnzipM",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="Monad.mapAndUnzipM vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="Monad.mapAndUnzipM vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="sequence (map vz3 vz4) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];314[label="vz4/vz40 : vz41",fontsize=10,color="white",style="solid",shape="box"];5 -> 314[label="",style="solid", color="burlywood", weight=9];
314 -> 6[label="",style="solid", color="burlywood", weight=3];
315[label="vz4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 315[label="",style="solid", color="burlywood", weight=9];
315 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="sequence (map vz3 (vz40 : vz41)) >>= return . unzip",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="sequence (map vz3 []) >>= return . unzip",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="sequence (vz3 vz40 : map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="sequence [] >>= return . unzip",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10 -> 12[label="",style="dashed", color="red", weight=0];
10[label="vz3 vz40 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="magenta"];10 -> 13[label="",style="dashed", color="magenta", weight=3];
11[label="return [] >>= return . unzip",fontsize=16,color="black",shape="box"];11 -> 14[label="",style="solid", color="black", weight=3];
13[label="vz3 vz40",fontsize=16,color="green",shape="box"];13 -> 18[label="",style="dashed", color="green", weight=3];
12[label="vz5 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];316[label="vz5/vz50 : vz51",fontsize=10,color="white",style="solid",shape="box"];12 -> 316[label="",style="solid", color="burlywood", weight=9];
316 -> 16[label="",style="solid", color="burlywood", weight=3];
317[label="vz5/[]",fontsize=10,color="white",style="solid",shape="box"];12 -> 317[label="",style="solid", color="burlywood", weight=9];
317 -> 17[label="",style="solid", color="burlywood", weight=3];
14[label="[] : [] >>= return . unzip",fontsize=16,color="black",shape="box"];14 -> 19[label="",style="solid", color="black", weight=3];
18[label="vz40",fontsize=16,color="green",shape="box"];16[label="vz50 : vz51 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
17[label="[] >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
19 -> 129[label="",style="dashed", color="red", weight=0];
19[label="return . unzip ++ ([] >>= return . unzip)",fontsize=16,color="magenta"];19 -> 130[label="",style="dashed", color="magenta", weight=3];
19 -> 131[label="",style="dashed", color="magenta", weight=3];
20[label="sequence1 (map vz3 vz41) vz50 ++ (vz51 >>= sequence1 (map vz3 vz41)) >>= return . unzip",fontsize=16,color="black",shape="box"];20 -> 23[label="",style="solid", color="black", weight=3];
21[label="[] >>= return . unzip",fontsize=16,color="black",shape="triangle"];21 -> 24[label="",style="solid", color="black", weight=3];
130[label="[]",fontsize=16,color="green",shape="box"];131 -> 21[label="",style="dashed", color="red", weight=0];
131[label="[] >>= return . unzip",fontsize=16,color="magenta"];129[label="return . unzip ++ vz22",fontsize=16,color="black",shape="triangle"];129 -> 135[label="",style="solid", color="black", weight=3];
23[label="(sequence (map vz3 vz41) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 vz41)) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];318[label="vz41/vz410 : vz411",fontsize=10,color="white",style="solid",shape="box"];23 -> 318[label="",style="solid", color="burlywood", weight=9];
318 -> 27[label="",style="solid", color="burlywood", weight=3];
319[label="vz41/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 319[label="",style="solid", color="burlywood", weight=9];
319 -> 28[label="",style="solid", color="burlywood", weight=3];
24[label="[]",fontsize=16,color="green",shape="box"];135[label="return (unzip vz90) ++ vz22",fontsize=16,color="black",shape="box"];135 -> 145[label="",style="solid", color="black", weight=3];
27[label="(sequence (map vz3 (vz410 : vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 (vz410 : vz411))) >>= return . unzip",fontsize=16,color="black",shape="box"];27 -> 30[label="",style="solid", color="black", weight=3];
28[label="(sequence (map vz3 []) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 [])) >>= return . unzip",fontsize=16,color="black",shape="box"];28 -> 31[label="",style="solid", color="black", weight=3];
145[label="(unzip vz90 : []) ++ vz22",fontsize=16,color="black",shape="box"];145 -> 156[label="",style="solid", color="black", weight=3];
30[label="(sequence (vz3 vz410 : map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz3 vz410 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];30 -> 33[label="",style="solid", color="black", weight=3];
31[label="(sequence [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="triangle"];31 -> 34[label="",style="solid", color="black", weight=3];
156[label="unzip vz90 : [] ++ vz22",fontsize=16,color="green",shape="box"];156 -> 168[label="",style="dashed", color="green", weight=3];
156 -> 169[label="",style="dashed", color="green", weight=3];
33 -> 37[label="",style="dashed", color="red", weight=0];
33[label="(vz3 vz410 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz3 vz410 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="magenta"];33 -> 38[label="",style="dashed", color="magenta", weight=3];
34[label="(return [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];34 -> 39[label="",style="solid", color="black", weight=3];
168[label="unzip vz90",fontsize=16,color="black",shape="box"];168 -> 179[label="",style="solid", color="black", weight=3];
169[label="[] ++ vz22",fontsize=16,color="black",shape="box"];169 -> 180[label="",style="solid", color="black", weight=3];
38[label="vz3 vz410",fontsize=16,color="green",shape="box"];38 -> 45[label="",style="dashed", color="green", weight=3];
37[label="(vz7 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz7 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];320[label="vz7/vz70 : vz71",fontsize=10,color="white",style="solid",shape="box"];37 -> 320[label="",style="solid", color="burlywood", weight=9];
320 -> 43[label="",style="solid", color="burlywood", weight=3];
321[label="vz7/[]",fontsize=10,color="white",style="solid",shape="box"];37 -> 321[label="",style="solid", color="burlywood", weight=9];
321 -> 44[label="",style="solid", color="burlywood", weight=3];
39[label="([] : [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];39 -> 46[label="",style="solid", color="black", weight=3];
179[label="foldr unzip0 ([],[]) vz90",fontsize=16,color="burlywood",shape="triangle"];322[label="vz90/vz900 : vz901",fontsize=10,color="white",style="solid",shape="box"];179 -> 322[label="",style="solid", color="burlywood", weight=9];
322 -> 187[label="",style="solid", color="burlywood", weight=3];
323[label="vz90/[]",fontsize=10,color="white",style="solid",shape="box"];179 -> 323[label="",style="solid", color="burlywood", weight=9];
323 -> 188[label="",style="solid", color="burlywood", weight=3];
180[label="vz22",fontsize=16,color="green",shape="box"];45[label="vz410",fontsize=16,color="green",shape="box"];43[label="(vz70 : vz71 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];43 -> 48[label="",style="solid", color="black", weight=3];
44[label="([] >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];44 -> 49[label="",style="solid", color="black", weight=3];
46[label="(sequence0 vz50 [] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];46 -> 50[label="",style="solid", color="black", weight=3];
187[label="foldr unzip0 ([],[]) (vz900 : vz901)",fontsize=16,color="black",shape="box"];187 -> 207[label="",style="solid", color="black", weight=3];
188[label="foldr unzip0 ([],[]) []",fontsize=16,color="black",shape="box"];188 -> 208[label="",style="solid", color="black", weight=3];
48[label="(sequence1 (map vz3 vz411) vz70 ++ (vz71 >>= sequence1 (map vz3 vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];48 -> 51[label="",style="solid", color="black", weight=3];
49[label="([] >>= sequence0 vz50) ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];49 -> 52[label="",style="solid", color="black", weight=3];
50[label="(return (vz50 : []) ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];50 -> 53[label="",style="solid", color="black", weight=3];
207 -> 220[label="",style="dashed", color="red", weight=0];
207[label="unzip0 vz900 (foldr unzip0 ([],[]) vz901)",fontsize=16,color="magenta"];207 -> 221[label="",style="dashed", color="magenta", weight=3];
208[label="([],[])",fontsize=16,color="green",shape="box"];51[label="((sequence (map vz3 vz411) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];324[label="vz411/vz4110 : vz4111",fontsize=10,color="white",style="solid",shape="box"];51 -> 324[label="",style="solid", color="burlywood", weight=9];
324 -> 54[label="",style="solid", color="burlywood", weight=3];
325[label="vz411/[]",fontsize=10,color="white",style="solid",shape="box"];51 -> 325[label="",style="solid", color="burlywood", weight=9];
325 -> 55[label="",style="solid", color="burlywood", weight=3];
52[label="[] ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];52 -> 56[label="",style="solid", color="black", weight=3];
53[label="(((vz50 : []) : []) ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];53 -> 57[label="",style="solid", color="black", weight=3];
221 -> 179[label="",style="dashed", color="red", weight=0];
221[label="foldr unzip0 ([],[]) vz901",fontsize=16,color="magenta"];221 -> 222[label="",style="dashed", color="magenta", weight=3];
220[label="unzip0 vz900 vz25",fontsize=16,color="burlywood",shape="triangle"];326[label="vz900/(vz9000,vz9001)",fontsize=10,color="white",style="solid",shape="box"];220 -> 326[label="",style="solid", color="burlywood", weight=9];
326 -> 223[label="",style="solid", color="burlywood", weight=3];
54[label="((sequence (map vz3 (vz4110 : vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 (vz4110 : vz4111))) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 (vz4110 : vz4111))) >>= return . unzip",fontsize=16,color="black",shape="box"];54 -> 58[label="",style="solid", color="black", weight=3];
55[label="((sequence (map vz3 []) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 [])) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 [])) >>= return . unzip",fontsize=16,color="black",shape="box"];55 -> 59[label="",style="solid", color="black", weight=3];
56[label="vz51 >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];327[label="vz51/vz510 : vz511",fontsize=10,color="white",style="solid",shape="box"];56 -> 327[label="",style="solid", color="burlywood", weight=9];
327 -> 60[label="",style="solid", color="burlywood", weight=3];
328[label="vz51/[]",fontsize=10,color="white",style="solid",shape="box"];56 -> 328[label="",style="solid", color="burlywood", weight=9];
328 -> 61[label="",style="solid", color="burlywood", weight=3];
57[label="((vz50 : []) : [] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];57 -> 62[label="",style="solid", color="black", weight=3];
222[label="vz901",fontsize=16,color="green",shape="box"];223[label="unzip0 (vz9000,vz9001) vz25",fontsize=16,color="black",shape="box"];223 -> 226[label="",style="solid", color="black", weight=3];
58 -> 68[label="",style="dashed", color="red", weight=0];
58[label="((sequence (vz3 vz4110 : map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : vz3 vz4110 : map vz3 vz4111)) >>= return . unzip",fontsize=16,color="magenta"];58 -> 69[label="",style="dashed", color="magenta", weight=3];
58 -> 70[label="",style="dashed", color="magenta", weight=3];
58 -> 71[label="",style="dashed", color="magenta", weight=3];
58 -> 72[label="",style="dashed", color="magenta", weight=3];
58 -> 73[label="",style="dashed", color="magenta", weight=3];
58 -> 74[label="",style="dashed", color="magenta", weight=3];
58 -> 75[label="",style="dashed", color="magenta", weight=3];
59 -> 103[label="",style="dashed", color="red", weight=0];
59[label="((sequence [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : [])) >>= return . unzip",fontsize=16,color="magenta"];59 -> 104[label="",style="dashed", color="magenta", weight=3];
59 -> 105[label="",style="dashed", color="magenta", weight=3];
59 -> 106[label="",style="dashed", color="magenta", weight=3];
59 -> 107[label="",style="dashed", color="magenta", weight=3];
60[label="vz510 : vz511 >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="black",shape="box"];60 -> 65[label="",style="solid", color="black", weight=3];
61[label="[] >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="black",shape="box"];61 -> 66[label="",style="solid", color="black", weight=3];
62[label="(vz50 : []) : ([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];62 -> 67[label="",style="solid", color="black", weight=3];
226[label="(vz9000 : unzip00 vz25,vz9001 : unzip01 vz25)",fontsize=16,color="green",shape="box"];226 -> 243[label="",style="dashed", color="green", weight=3];
226 -> 244[label="",style="dashed", color="green", weight=3];
69[label="vz3",fontsize=16,color="green",shape="box"];70[label="vz4110",fontsize=16,color="green",shape="box"];71[label="vz4111",fontsize=16,color="green",shape="box"];72[label="(sequence (vz3 vz4110 : map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];72 -> 83[label="",style="solid", color="black", weight=3];
73[label="vz71",fontsize=16,color="green",shape="box"];74[label="vz70",fontsize=16,color="green",shape="box"];75[label="vz51",fontsize=16,color="green",shape="box"];68[label="vz9 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];329[label="vz9/vz90 : vz91",fontsize=10,color="white",style="solid",shape="box"];68 -> 329[label="",style="solid", color="burlywood", weight=9];
329 -> 84[label="",style="solid", color="burlywood", weight=3];
330[label="vz9/[]",fontsize=10,color="white",style="solid",shape="box"];68 -> 330[label="",style="solid", color="burlywood", weight=9];
330 -> 85[label="",style="solid", color="burlywood", weight=3];
104[label="vz71",fontsize=16,color="green",shape="box"];105[label="vz51",fontsize=16,color="green",shape="box"];106[label="vz70",fontsize=16,color="green",shape="box"];107[label="(sequence [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];107 -> 120[label="",style="solid", color="black", weight=3];
103[label="vz18 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];331[label="vz18/vz180 : vz181",fontsize=10,color="white",style="solid",shape="box"];103 -> 331[label="",style="solid", color="burlywood", weight=9];
331 -> 121[label="",style="solid", color="burlywood", weight=3];
332[label="vz18/[]",fontsize=10,color="white",style="solid",shape="box"];103 -> 332[label="",style="solid", color="burlywood", weight=9];
332 -> 122[label="",style="solid", color="burlywood", weight=3];
65[label="sequence1 ([] : map vz3 vz411) vz510 ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];65 -> 87[label="",style="solid", color="black", weight=3];
66 -> 21[label="",style="dashed", color="red", weight=0];
66[label="[] >>= return . unzip",fontsize=16,color="magenta"];67 -> 129[label="",style="dashed", color="red", weight=0];
67[label="return . unzip ++ (([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip)",fontsize=16,color="magenta"];67 -> 132[label="",style="dashed", color="magenta", weight=3];
67 -> 133[label="",style="dashed", color="magenta", weight=3];
243[label="unzip00 vz25",fontsize=16,color="burlywood",shape="box"];333[label="vz25/(vz250,vz251)",fontsize=10,color="white",style="solid",shape="box"];243 -> 333[label="",style="solid", color="burlywood", weight=9];
333 -> 260[label="",style="solid", color="burlywood", weight=3];
244[label="unzip01 vz25",fontsize=16,color="burlywood",shape="box"];334[label="vz25/(vz250,vz251)",fontsize=10,color="white",style="solid",shape="box"];244 -> 334[label="",style="solid", color="burlywood", weight=9];
334 -> 261[label="",style="solid", color="burlywood", weight=3];
83 -> 89[label="",style="dashed", color="red", weight=0];
83[label="(vz3 vz4110 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="magenta"];83 -> 90[label="",style="dashed", color="magenta", weight=3];
84[label="(vz90 : vz91) ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];84 -> 91[label="",style="solid", color="black", weight=3];
85[label="[] ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];85 -> 92[label="",style="solid", color="black", weight=3];
120[label="(return [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];120 -> 136[label="",style="solid", color="black", weight=3];
121[label="(vz180 : vz181) ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];121 -> 137[label="",style="solid", color="black", weight=3];
122[label="[] ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];122 -> 138[label="",style="solid", color="black", weight=3];
87[label="(sequence ([] : map vz3 vz411) >>= sequence0 vz510) ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];87 -> 94[label="",style="solid", color="black", weight=3];
132[label="vz50 : []",fontsize=16,color="green",shape="box"];133[label="([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];133 -> 139[label="",style="solid", color="black", weight=3];
260[label="unzip00 (vz250,vz251)",fontsize=16,color="black",shape="box"];260 -> 264[label="",style="solid", color="black", weight=3];
261[label="unzip01 (vz250,vz251)",fontsize=16,color="black",shape="box"];261 -> 265[label="",style="solid", color="black", weight=3];
90[label="vz3 vz4110",fontsize=16,color="green",shape="box"];90 -> 99[label="",style="dashed", color="green", weight=3];
89[label="(vz16 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz16 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];335[label="vz16/vz160 : vz161",fontsize=10,color="white",style="solid",shape="box"];89 -> 335[label="",style="solid", color="burlywood", weight=9];
335 -> 97[label="",style="solid", color="burlywood", weight=3];
336[label="vz16/[]",fontsize=10,color="white",style="solid",shape="box"];89 -> 336[label="",style="solid", color="burlywood", weight=9];
336 -> 98[label="",style="solid", color="burlywood", weight=3];
91[label="vz90 : vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];91 -> 100[label="",style="solid", color="black", weight=3];
92[label="vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];337[label="vz10/vz100 : vz101",fontsize=10,color="white",style="solid",shape="box"];92 -> 337[label="",style="solid", color="burlywood", weight=9];
337 -> 101[label="",style="solid", color="burlywood", weight=3];
338[label="vz10/[]",fontsize=10,color="white",style="solid",shape="box"];92 -> 338[label="",style="solid", color="burlywood", weight=9];
338 -> 102[label="",style="solid", color="burlywood", weight=3];
136[label="([] : [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];136 -> 146[label="",style="solid", color="black", weight=3];
137[label="vz180 : vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];137 -> 147[label="",style="solid", color="black", weight=3];
138[label="vz19 >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];339[label="vz19/vz190 : vz191",fontsize=10,color="white",style="solid",shape="box"];138 -> 339[label="",style="solid", color="burlywood", weight=9];
339 -> 148[label="",style="solid", color="burlywood", weight=3];
340[label="vz19/[]",fontsize=10,color="white",style="solid",shape="box"];138 -> 340[label="",style="solid", color="burlywood", weight=9];
340 -> 149[label="",style="solid", color="burlywood", weight=3];
94 -> 37[label="",style="dashed", color="red", weight=0];
94[label="([] >>= sequence1 (map vz3 vz411) >>= sequence0 vz510) ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="magenta"];94 -> 123[label="",style="dashed", color="magenta", weight=3];
94 -> 124[label="",style="dashed", color="magenta", weight=3];
94 -> 125[label="",style="dashed", color="magenta", weight=3];
139[label="([] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];139 -> 150[label="",style="solid", color="black", weight=3];
264[label="vz250",fontsize=16,color="green",shape="box"];265[label="vz251",fontsize=16,color="green",shape="box"];99[label="vz4110",fontsize=16,color="green",shape="box"];97[label="(vz160 : vz161 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];97 -> 127[label="",style="solid", color="black", weight=3];
98[label="([] >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];98 -> 128[label="",style="solid", color="black", weight=3];
100 -> 129[label="",style="dashed", color="red", weight=0];
100[label="return . unzip ++ (vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip)",fontsize=16,color="magenta"];100 -> 134[label="",style="dashed", color="magenta", weight=3];
101[label="vz100 : vz101 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="black",shape="box"];101 -> 140[label="",style="solid", color="black", weight=3];
102[label="[] >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="black",shape="box"];102 -> 141[label="",style="solid", color="black", weight=3];
146[label="(sequence0 vz70 [] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];146 -> 157[label="",style="solid", color="black", weight=3];
147 -> 129[label="",style="dashed", color="red", weight=0];
147[label="return . unzip ++ (vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip)",fontsize=16,color="magenta"];147 -> 158[label="",style="dashed", color="magenta", weight=3];
147 -> 159[label="",style="dashed", color="magenta", weight=3];
148[label="vz190 : vz191 >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="black",shape="box"];148 -> 160[label="",style="solid", color="black", weight=3];
149[label="[] >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="black",shape="box"];149 -> 161[label="",style="solid", color="black", weight=3];
123[label="[]",fontsize=16,color="green",shape="box"];124[label="vz510",fontsize=16,color="green",shape="box"];125[label="vz511",fontsize=16,color="green",shape="box"];150[label="[] ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];150 -> 162[label="",style="solid", color="black", weight=3];
127[label="(sequence1 (map vz3 vz4111) vz160 ++ (vz161 >>= sequence1 (map vz3 vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];127 -> 142[label="",style="solid", color="black", weight=3];
128[label="([] >>= sequence0 vz70) ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];128 -> 143[label="",style="solid", color="black", weight=3];
134 -> 68[label="",style="dashed", color="red", weight=0];
134[label="vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="magenta"];134 -> 144[label="",style="dashed", color="magenta", weight=3];
140 -> 68[label="",style="dashed", color="red", weight=0];
140[label="sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) vz100 ++ (vz101 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="magenta"];140 -> 151[label="",style="dashed", color="magenta", weight=3];
140 -> 152[label="",style="dashed", color="magenta", weight=3];
141 -> 21[label="",style="dashed", color="red", weight=0];
141[label="[] >>= return . unzip",fontsize=16,color="magenta"];157[label="(return (vz70 : []) ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];157 -> 170[label="",style="solid", color="black", weight=3];
158[label="vz180",fontsize=16,color="green",shape="box"];159 -> 103[label="",style="dashed", color="red", weight=0];
159[label="vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="magenta"];159 -> 171[label="",style="dashed", color="magenta", weight=3];
160 -> 103[label="",style="dashed", color="red", weight=0];
160[label="sequence1 ((vz20 : vz21) : []) vz190 ++ (vz191 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="magenta"];160 -> 172[label="",style="dashed", color="magenta", weight=3];
160 -> 173[label="",style="dashed", color="magenta", weight=3];
161 -> 21[label="",style="dashed", color="red", weight=0];
161[label="[] >>= return . unzip",fontsize=16,color="magenta"];162[label="vz51 >>= sequence1 [] >>= return . unzip",fontsize=16,color="burlywood",shape="box"];341[label="vz51/vz510 : vz511",fontsize=10,color="white",style="solid",shape="box"];162 -> 341[label="",style="solid", color="burlywood", weight=9];
341 -> 174[label="",style="solid", color="burlywood", weight=3];
342[label="vz51/[]",fontsize=10,color="white",style="solid",shape="box"];162 -> 342[label="",style="solid", color="burlywood", weight=9];
342 -> 175[label="",style="solid", color="burlywood", weight=3];
142[label="((sequence (map vz3 vz4111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];343[label="vz4111/vz41110 : vz41111",fontsize=10,color="white",style="solid",shape="box"];142 -> 343[label="",style="solid", color="burlywood", weight=9];
343 -> 153[label="",style="solid", color="burlywood", weight=3];
344[label="vz4111/[]",fontsize=10,color="white",style="solid",shape="box"];142 -> 344[label="",style="solid", color="burlywood", weight=9];
344 -> 154[label="",style="solid", color="burlywood", weight=3];
143[label="[] ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];143 -> 155[label="",style="solid", color="black", weight=3];
144[label="vz91",fontsize=16,color="green",shape="box"];151[label="sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) vz100",fontsize=16,color="black",shape="triangle"];151 -> 163[label="",style="solid", color="black", weight=3];
152[label="vz101",fontsize=16,color="green",shape="box"];170[label="(((vz70 : []) : []) ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];170 -> 181[label="",style="solid", color="black", weight=3];
171[label="vz181",fontsize=16,color="green",shape="box"];172[label="vz191",fontsize=16,color="green",shape="box"];173[label="sequence1 ((vz20 : vz21) : []) vz190",fontsize=16,color="black",shape="triangle"];173 -> 182[label="",style="solid", color="black", weight=3];
174[label="vz510 : vz511 >>= sequence1 [] >>= return . unzip",fontsize=16,color="black",shape="box"];174 -> 183[label="",style="solid", color="black", weight=3];
175[label="[] >>= sequence1 [] >>= return . unzip",fontsize=16,color="black",shape="box"];175 -> 184[label="",style="solid", color="black", weight=3];
153[label="((sequence (map vz3 (vz41110 : vz41111)) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 (vz41110 : vz41111))) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 (vz41110 : vz41111))) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];153 -> 164[label="",style="solid", color="black", weight=3];
154[label="((sequence (map vz3 []) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 [])) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];154 -> 165[label="",style="solid", color="black", weight=3];
155[label="vz71 >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];345[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];155 -> 345[label="",style="solid", color="burlywood", weight=9];
345 -> 166[label="",style="solid", color="burlywood", weight=3];
346[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];155 -> 346[label="",style="solid", color="burlywood", weight=9];
346 -> 167[label="",style="solid", color="burlywood", weight=3];
163[label="sequence ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];163 -> 176[label="",style="solid", color="black", weight=3];
181[label="((vz70 : []) : [] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];181 -> 189[label="",style="solid", color="black", weight=3];
182[label="sequence ((vz20 : vz21) : []) >>= sequence0 vz190",fontsize=16,color="black",shape="box"];182 -> 190[label="",style="solid", color="black", weight=3];
183[label="sequence1 [] vz510 ++ (vz511 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];183 -> 191[label="",style="solid", color="black", weight=3];
184 -> 21[label="",style="dashed", color="red", weight=0];
184[label="[] >>= return . unzip",fontsize=16,color="magenta"];164 -> 177[label="",style="dashed", color="red", weight=0];
164[label="((sequence (vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];164 -> 178[label="",style="dashed", color="magenta", weight=3];
165 -> 185[label="",style="dashed", color="red", weight=0];
165[label="((sequence [] >>= sequence0 vz160) ++ (vz161 >>= sequence1 []) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];165 -> 186[label="",style="dashed", color="magenta", weight=3];
166[label="vz710 : vz711 >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];166 -> 192[label="",style="solid", color="black", weight=3];
167[label="[] >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];167 -> 193[label="",style="solid", color="black", weight=3];
176[label="vz11 : vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];176 -> 194[label="",style="solid", color="black", weight=3];
189[label="(vz70 : []) : ([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];189 -> 209[label="",style="solid", color="black", weight=3];
190[label="vz20 : vz21 >>= sequence1 [] >>= sequence0 vz190",fontsize=16,color="black",shape="box"];190 -> 210[label="",style="solid", color="black", weight=3];
191 -> 31[label="",style="dashed", color="red", weight=0];
191[label="(sequence [] >>= sequence0 vz510) ++ (vz511 >>= sequence1 []) >>= return . unzip",fontsize=16,color="magenta"];191 -> 211[label="",style="dashed", color="magenta", weight=3];
191 -> 212[label="",style="dashed", color="magenta", weight=3];
178 -> 72[label="",style="dashed", color="red", weight=0];
178[label="(sequence (vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz70",fontsize=16,color="magenta"];178 -> 195[label="",style="dashed", color="magenta", weight=3];
178 -> 196[label="",style="dashed", color="magenta", weight=3];
178 -> 197[label="",style="dashed", color="magenta", weight=3];
178 -> 198[label="",style="dashed", color="magenta", weight=3];
178 -> 199[label="",style="dashed", color="magenta", weight=3];
177[label="vz23 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];347[label="vz23/vz230 : vz231",fontsize=10,color="white",style="solid",shape="box"];177 -> 347[label="",style="solid", color="burlywood", weight=9];
347 -> 200[label="",style="solid", color="burlywood", weight=3];
348[label="vz23/[]",fontsize=10,color="white",style="solid",shape="box"];177 -> 348[label="",style="solid", color="burlywood", weight=9];
348 -> 201[label="",style="solid", color="burlywood", weight=3];
186 -> 107[label="",style="dashed", color="red", weight=0];
186[label="(sequence [] >>= sequence0 vz160) ++ (vz161 >>= sequence1 []) >>= sequence0 vz70",fontsize=16,color="magenta"];186 -> 202[label="",style="dashed", color="magenta", weight=3];
186 -> 203[label="",style="dashed", color="magenta", weight=3];
186 -> 204[label="",style="dashed", color="magenta", weight=3];
185[label="vz24 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];349[label="vz24/vz240 : vz241",fontsize=10,color="white",style="solid",shape="box"];185 -> 349[label="",style="solid", color="burlywood", weight=9];
349 -> 205[label="",style="solid", color="burlywood", weight=3];
350[label="vz24/[]",fontsize=10,color="white",style="solid",shape="box"];185 -> 350[label="",style="solid", color="burlywood", weight=9];
350 -> 206[label="",style="solid", color="burlywood", weight=3];
192[label="sequence1 ([] : map vz3 vz4111) vz710 ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];192 -> 213[label="",style="solid", color="black", weight=3];
193[label="[] >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];193 -> 214[label="",style="solid", color="black", weight=3];
194[label="sequence1 (vz13 vz14 : map vz13 vz15) vz11 ++ (vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15)) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];194 -> 215[label="",style="solid", color="black", weight=3];
209 -> 252[label="",style="dashed", color="red", weight=0];
209[label="sequence0 vz50 (vz70 : []) ++ (([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50)",fontsize=16,color="magenta"];209 -> 253[label="",style="dashed", color="magenta", weight=3];
209 -> 254[label="",style="dashed", color="magenta", weight=3];
210[label="sequence1 [] vz20 ++ (vz21 >>= sequence1 []) >>= sequence0 vz190",fontsize=16,color="black",shape="box"];210 -> 227[label="",style="solid", color="black", weight=3];
211[label="vz510",fontsize=16,color="green",shape="box"];212[label="vz511",fontsize=16,color="green",shape="box"];195[label="vz160",fontsize=16,color="green",shape="box"];196[label="vz161",fontsize=16,color="green",shape="box"];197[label="vz70",fontsize=16,color="green",shape="box"];198[label="vz41110",fontsize=16,color="green",shape="box"];199[label="vz41111",fontsize=16,color="green",shape="box"];200[label="(vz230 : vz231) ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];200 -> 216[label="",style="solid", color="black", weight=3];
201[label="[] ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];201 -> 217[label="",style="solid", color="black", weight=3];
202[label="vz160",fontsize=16,color="green",shape="box"];203[label="vz161",fontsize=16,color="green",shape="box"];204[label="vz70",fontsize=16,color="green",shape="box"];205[label="(vz240 : vz241) ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];205 -> 218[label="",style="solid", color="black", weight=3];
206[label="[] ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];206 -> 219[label="",style="solid", color="black", weight=3];
213[label="(sequence ([] : map vz3 vz4111) >>= sequence0 vz710) ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];213 -> 228[label="",style="solid", color="black", weight=3];
214[label="[]",fontsize=16,color="green",shape="box"];215 -> 72[label="",style="dashed", color="red", weight=0];
215[label="(sequence (vz13 vz14 : map vz13 vz15) >>= sequence0 vz11) ++ (vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15)) >>= sequence0 vz100",fontsize=16,color="magenta"];215 -> 229[label="",style="dashed", color="magenta", weight=3];
215 -> 230[label="",style="dashed", color="magenta", weight=3];
215 -> 231[label="",style="dashed", color="magenta", weight=3];
215 -> 232[label="",style="dashed", color="magenta", weight=3];
215 -> 233[label="",style="dashed", color="magenta", weight=3];
215 -> 234[label="",style="dashed", color="magenta", weight=3];
253[label="vz70 : []",fontsize=16,color="green",shape="box"];254 -> 262[label="",style="dashed", color="red", weight=0];
254[label="([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];254 -> 263[label="",style="dashed", color="magenta", weight=3];
252[label="sequence0 vz50 vz230 ++ vz27",fontsize=16,color="black",shape="triangle"];252 -> 266[label="",style="solid", color="black", weight=3];
227 -> 107[label="",style="dashed", color="red", weight=0];
227[label="(sequence [] >>= sequence0 vz20) ++ (vz21 >>= sequence1 []) >>= sequence0 vz190",fontsize=16,color="magenta"];227 -> 245[label="",style="dashed", color="magenta", weight=3];
227 -> 246[label="",style="dashed", color="magenta", weight=3];
227 -> 247[label="",style="dashed", color="magenta", weight=3];
216[label="vz230 : vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];216 -> 237[label="",style="solid", color="black", weight=3];
217[label="vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];351[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];217 -> 351[label="",style="solid", color="burlywood", weight=9];
351 -> 238[label="",style="solid", color="burlywood", weight=3];
352[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];217 -> 352[label="",style="solid", color="burlywood", weight=9];
352 -> 239[label="",style="solid", color="burlywood", weight=3];
218[label="vz240 : vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];218 -> 240[label="",style="solid", color="black", weight=3];
219[label="vz71 >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];353[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];219 -> 353[label="",style="solid", color="burlywood", weight=9];
353 -> 241[label="",style="solid", color="burlywood", weight=3];
354[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];219 -> 354[label="",style="solid", color="burlywood", weight=9];
354 -> 242[label="",style="solid", color="burlywood", weight=3];
228 -> 89[label="",style="dashed", color="red", weight=0];
228[label="([] >>= sequence1 (map vz3 vz4111) >>= sequence0 vz710) ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="magenta"];228 -> 248[label="",style="dashed", color="magenta", weight=3];
228 -> 249[label="",style="dashed", color="magenta", weight=3];
228 -> 250[label="",style="dashed", color="magenta", weight=3];
229[label="vz13",fontsize=16,color="green",shape="box"];230[label="vz11",fontsize=16,color="green",shape="box"];231[label="vz12",fontsize=16,color="green",shape="box"];232[label="vz100",fontsize=16,color="green",shape="box"];233[label="vz14",fontsize=16,color="green",shape="box"];234[label="vz15",fontsize=16,color="green",shape="box"];263 -> 193[label="",style="dashed", color="red", weight=0];
263[label="[] >>= sequence0 vz70",fontsize=16,color="magenta"];263 -> 267[label="",style="dashed", color="magenta", weight=3];
262[label="([] ++ vz28) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];262 -> 268[label="",style="solid", color="black", weight=3];
266[label="return (vz50 : vz230) ++ vz27",fontsize=16,color="black",shape="box"];266 -> 275[label="",style="solid", color="black", weight=3];
245[label="vz20",fontsize=16,color="green",shape="box"];246[label="vz21",fontsize=16,color="green",shape="box"];247[label="vz190",fontsize=16,color="green",shape="box"];237 -> 252[label="",style="dashed", color="red", weight=0];
237[label="sequence0 vz50 vz230 ++ (vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50)",fontsize=16,color="magenta"];237 -> 257[label="",style="dashed", color="magenta", weight=3];
238[label="vz710 : vz711 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];238 -> 269[label="",style="solid", color="black", weight=3];
239[label="[] >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];239 -> 270[label="",style="solid", color="black", weight=3];
240 -> 252[label="",style="dashed", color="red", weight=0];
240[label="sequence0 vz50 vz240 ++ (vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50)",fontsize=16,color="magenta"];240 -> 258[label="",style="dashed", color="magenta", weight=3];
240 -> 259[label="",style="dashed", color="magenta", weight=3];
241[label="vz710 : vz711 >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];241 -> 271[label="",style="solid", color="black", weight=3];
242[label="[] >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];242 -> 272[label="",style="solid", color="black", weight=3];
248[label="vz710",fontsize=16,color="green",shape="box"];249[label="vz711",fontsize=16,color="green",shape="box"];250[label="[]",fontsize=16,color="green",shape="box"];267[label="vz70",fontsize=16,color="green",shape="box"];268[label="vz28 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];355[label="vz28/vz280 : vz281",fontsize=10,color="white",style="solid",shape="box"];268 -> 355[label="",style="solid", color="burlywood", weight=9];
355 -> 276[label="",style="solid", color="burlywood", weight=3];
356[label="vz28/[]",fontsize=10,color="white",style="solid",shape="box"];268 -> 356[label="",style="solid", color="burlywood", weight=9];
356 -> 277[label="",style="solid", color="burlywood", weight=3];
275[label="((vz50 : vz230) : []) ++ vz27",fontsize=16,color="black",shape="box"];275 -> 282[label="",style="solid", color="black", weight=3];
257 -> 177[label="",style="dashed", color="red", weight=0];
257[label="vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];257 -> 273[label="",style="dashed", color="magenta", weight=3];
269 -> 177[label="",style="dashed", color="red", weight=0];
269[label="sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) vz710 ++ (vz711 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];269 -> 278[label="",style="dashed", color="magenta", weight=3];
269 -> 279[label="",style="dashed", color="magenta", weight=3];
270 -> 193[label="",style="dashed", color="red", weight=0];
270[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];258[label="vz240",fontsize=16,color="green",shape="box"];259 -> 185[label="",style="dashed", color="red", weight=0];
259[label="vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];259 -> 274[label="",style="dashed", color="magenta", weight=3];
271 -> 185[label="",style="dashed", color="red", weight=0];
271[label="sequence1 ((vz160 : vz161) : []) vz710 ++ (vz711 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];271 -> 280[label="",style="dashed", color="magenta", weight=3];
271 -> 281[label="",style="dashed", color="magenta", weight=3];
272 -> 193[label="",style="dashed", color="red", weight=0];
272[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];276[label="(vz280 : vz281) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];276 -> 283[label="",style="solid", color="black", weight=3];
277[label="[] ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];277 -> 284[label="",style="solid", color="black", weight=3];
282[label="(vz50 : vz230) : [] ++ vz27",fontsize=16,color="green",shape="box"];282 -> 294[label="",style="dashed", color="green", weight=3];
273[label="vz231",fontsize=16,color="green",shape="box"];278[label="vz711",fontsize=16,color="green",shape="box"];279 -> 151[label="",style="dashed", color="red", weight=0];
279[label="sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) vz710",fontsize=16,color="magenta"];279 -> 285[label="",style="dashed", color="magenta", weight=3];
279 -> 286[label="",style="dashed", color="magenta", weight=3];
279 -> 287[label="",style="dashed", color="magenta", weight=3];
279 -> 288[label="",style="dashed", color="magenta", weight=3];
279 -> 289[label="",style="dashed", color="magenta", weight=3];
279 -> 290[label="",style="dashed", color="magenta", weight=3];
274[label="vz241",fontsize=16,color="green",shape="box"];280[label="vz711",fontsize=16,color="green",shape="box"];281 -> 173[label="",style="dashed", color="red", weight=0];
281[label="sequence1 ((vz160 : vz161) : []) vz710",fontsize=16,color="magenta"];281 -> 291[label="",style="dashed", color="magenta", weight=3];
281 -> 292[label="",style="dashed", color="magenta", weight=3];
281 -> 293[label="",style="dashed", color="magenta", weight=3];
283[label="vz280 : vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];283 -> 295[label="",style="solid", color="black", weight=3];
284[label="vz71 >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];357[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];284 -> 357[label="",style="solid", color="burlywood", weight=9];
357 -> 296[label="",style="solid", color="burlywood", weight=3];
358[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];284 -> 358[label="",style="solid", color="burlywood", weight=9];
358 -> 297[label="",style="solid", color="burlywood", weight=3];
294[label="[] ++ vz27",fontsize=16,color="black",shape="box"];294 -> 298[label="",style="solid", color="black", weight=3];
285[label="vz3",fontsize=16,color="green",shape="box"];286[label="vz41110",fontsize=16,color="green",shape="box"];287[label="vz41111",fontsize=16,color="green",shape="box"];288[label="vz161",fontsize=16,color="green",shape="box"];289[label="vz160",fontsize=16,color="green",shape="box"];290[label="vz710",fontsize=16,color="green",shape="box"];291[label="vz161",fontsize=16,color="green",shape="box"];292[label="vz160",fontsize=16,color="green",shape="box"];293[label="vz710",fontsize=16,color="green",shape="box"];295 -> 252[label="",style="dashed", color="red", weight=0];
295[label="sequence0 vz50 vz280 ++ (vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50)",fontsize=16,color="magenta"];295 -> 299[label="",style="dashed", color="magenta", weight=3];
295 -> 300[label="",style="dashed", color="magenta", weight=3];
296[label="vz710 : vz711 >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="black",shape="box"];296 -> 301[label="",style="solid", color="black", weight=3];
297[label="[] >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="black",shape="box"];297 -> 302[label="",style="solid", color="black", weight=3];
298[label="vz27",fontsize=16,color="green",shape="box"];299[label="vz280",fontsize=16,color="green",shape="box"];300 -> 268[label="",style="dashed", color="red", weight=0];
300[label="vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];300 -> 303[label="",style="dashed", color="magenta", weight=3];
301 -> 268[label="",style="dashed", color="red", weight=0];
301[label="sequence1 [] vz710 ++ (vz711 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];301 -> 304[label="",style="dashed", color="magenta", weight=3];
301 -> 305[label="",style="dashed", color="magenta", weight=3];
302 -> 193[label="",style="dashed", color="red", weight=0];
302[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];303[label="vz281",fontsize=16,color="green",shape="box"];304[label="sequence1 [] vz710",fontsize=16,color="black",shape="box"];304 -> 306[label="",style="solid", color="black", weight=3];
305[label="vz711",fontsize=16,color="green",shape="box"];306[label="sequence [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];306 -> 307[label="",style="solid", color="black", weight=3];
307[label="return [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];307 -> 308[label="",style="solid", color="black", weight=3];
308[label="[] : [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];308 -> 309[label="",style="solid", color="black", weight=3];
309 -> 252[label="",style="dashed", color="red", weight=0];
309[label="sequence0 vz710 [] ++ ([] >>= sequence0 vz710)",fontsize=16,color="magenta"];309 -> 310[label="",style="dashed", color="magenta", weight=3];
309 -> 311[label="",style="dashed", color="magenta", weight=3];
309 -> 312[label="",style="dashed", color="magenta", weight=3];
310[label="vz710",fontsize=16,color="green",shape="box"];311[label="[]",fontsize=16,color="green",shape="box"];312 -> 193[label="",style="dashed", color="red", weight=0];
312[label="[] >>= sequence0 vz710",fontsize=16,color="magenta"];312 -> 313[label="",style="dashed", color="magenta", weight=3];
313[label="vz710",fontsize=16,color="green",shape="box"];}

----------------------------------------

(10)
Complex Obligation (AND)

----------------------------------------

(11)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_sequence1(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba)
   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_sequence1(vz20, vz21, vz190, bb, bc) -> new_gtGtEs2(vz20, vz21, vz190, bb, bc)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs0(vz50, h, ba) -> []
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_gtGtEs2(vz70, vz71, vz50, h, ba) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, h, ba), vz71, vz50, h, ba), h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_sequence1(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(12) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_sequence1(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba),new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba))


----------------------------------------

(13)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_sequence1(vz20, vz21, vz190, bb, bc) -> new_gtGtEs2(vz20, vz21, vz190, bb, bc)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs0(vz50, h, ba) -> []
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_gtGtEs2(vz70, vz71, vz50, h, ba) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, h, ba), vz71, vz50, h, ba), h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_sequence1(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(14) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(15)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, h, ba) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, h, ba), vz71, vz50, h, ba), h, ba)
   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_sequence1(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(16) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_sequence1(x0, x1, x2, x3, x4)


----------------------------------------

(17)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, h, ba) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, h, ba), vz71, vz50, h, ba), h, ba)
   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(18) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_gtGtEs2(vz160, vz161, vz710, h, ba), vz711, vz160, vz161, vz50, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba),new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba))


----------------------------------------

(19)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, h, ba) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, h, ba), vz71, vz50, h, ba), h, ba)
   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(20) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(21)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(22) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_gtGtEs2(x0, x1, x2, x3, x4)


----------------------------------------

(23)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(24) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(new_psPs(vz710, :(vz160, []), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba), h, ba), vz711, vz160, vz161, vz50, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba),new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba))


----------------------------------------

(25)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(26) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs3(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba) at position [0,1] we obtained the following new rules [LPAR04]:

   (new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba),new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba))


----------------------------------------

(27)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs3(vz28, vz71, vz50, h, ba) -> new_gtGtEs4(vz28, vz71, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(28) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(29)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(30) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_gtGtEs3(x0, x1, x2, x3, x4)


----------------------------------------

(31)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(32) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4(new_gtGtEs0(vz160, h, ba), vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba) at position [0,1,0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4([], vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba),new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4([], vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba))


----------------------------------------

(33)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
   new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4([], vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, h, ba) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, h, ba), h, ba)
   new_gtGtEs4([], [], vz50, h, ba) -> new_gtGtEs0(vz50, h, ba)
   new_gtGtEs4([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs0(x0, x1, x2)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(34) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs1(:(vz240, vz241), vz71, vz160, vz161, vz50, h, ba) -> new_gtGtEs1(vz241, vz71, vz160, vz161, vz50, h, ba)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7


*new_gtGtEs1([], :(vz710, vz711), vz160, vz161, vz50, h, ba) -> new_gtGtEs1(:(:(vz710, :(vz160, [])), new_gtGtEs4([], vz161, vz710, h, ba)), vz711, vz160, vz161, vz50, h, ba)
The graph contains the following edges 2 > 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7


----------------------------------------

(35)
YES

----------------------------------------

(36)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs11(:(vz90, vz91), vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb) -> new_gtGtEs11(vz91, vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb)
   new_gtGtEs11([], :(vz100, vz101), vz11, vz12, vz13, vz14, vz15, h, ba, bb) -> new_gtGtEs11(new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, h, ba, bb), vz101, vz11, vz12, vz13, vz14, vz15, h, ba, bb)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, h, ba, bb) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, h, ba, bb)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(37) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node.
----------------------------------------

(38)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs11(:(vz90, vz91), vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb) -> new_gtGtEs11(vz91, vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, h, ba, bb) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, h, ba, bb)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(39) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs11(:(vz90, vz91), vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb) -> new_gtGtEs11(vz91, vz10, vz11, vz12, vz13, vz14, vz15, h, ba, bb)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6, 7 >= 7, 8 >= 8, 9 >= 9, 10 >= 10


----------------------------------------

(40)
YES

----------------------------------------

(41)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_foldr(:(vz900, vz901), h, ba) -> new_foldr(vz901, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(42) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_foldr(:(vz900, vz901), h, ba) -> new_foldr(vz901, h, ba)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3


----------------------------------------

(43)
YES

----------------------------------------

(44)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs9(vz50, :(vz510, vz511), h, ba) -> new_gtGtEs9(vz510, vz511, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(45) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs9(vz50, :(vz510, vz511), h, ba) -> new_gtGtEs9(vz510, vz511, h, ba)
The graph contains the following edges 2 > 1, 2 > 2, 3 >= 3, 4 >= 4


----------------------------------------

(46)
YES

----------------------------------------

(47)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)
   new_gtGtEs6(vz3, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)
   new_gtGtEs5(vz3, vz4110, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)
   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_sequence11(vz3, vz41110, vz41111, h, ba, bb)
   new_gtGtEs6(vz3, :(vz41110, vz41111), h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)
   new_gtGtEs6(vz3, :(vz41110, vz41111), h, ba, bb) -> new_gtGtEs5(vz3, vz41110, vz41111, h, ba, bb)
   new_sequence11(vz13, vz14, vz15, bc, bd, be) -> new_gtGtEs5(vz13, vz14, vz15, bc, bd, be)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(48) MRRProof (EQUIVALENT)
By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.

Strictly oriented dependency pairs:

   new_gtGtEs6(vz3, :(vz41110, vz41111), h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)
   new_gtGtEs6(vz3, :(vz41110, vz41111), h, ba, bb) -> new_gtGtEs5(vz3, vz41110, vz41111, h, ba, bb)
   new_sequence11(vz13, vz14, vz15, bc, bd, be) -> new_gtGtEs5(vz13, vz14, vz15, bc, bd, be)


Used ordering: Polynomial interpretation [POLO]:

   POL(:(x_1, x_2)) = 2 + 2*x_1 + 2*x_2
   POL(new_gtGtEs5(x_1, x_2, x_3, x_4, x_5, x_6)) = 1 + x_1 + 2*x_2 + 2*x_3 + x_4 + x_5 + x_6
   POL(new_gtGtEs6(x_1, x_2, x_3, x_4, x_5)) = 1 + x_1 + 2*x_2 + x_3 + x_4 + x_5
   POL(new_gtGtEs7(x_1, x_2, x_3, x_4, x_5, x_6)) = 2 + x_1 + 2*x_2 + 2*x_3 + x_4 + x_5 + x_6
   POL(new_gtGtEs8(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 2 + x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9
   POL(new_sequence10(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 2 + 2*x_1 + 2*x_2 + 2*x_3 + 2*x_4 + 2*x_5 + 2*x_6 + 2*x_7 + 2*x_8 + 2*x_9
   POL(new_sequence11(x_1, x_2, x_3, x_4, x_5, x_6)) = 2 + x_1 + 2*x_2 + 2*x_3 + x_4 + x_5 + x_6


----------------------------------------

(49)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)
   new_gtGtEs6(vz3, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)
   new_gtGtEs5(vz3, vz4110, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)
   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_sequence11(vz3, vz41110, vz41111, h, ba, bb)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(50) DependencyGraphProof (EQUIVALENT)
The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 2 less nodes.
----------------------------------------

(51)
Complex Obligation (AND)

----------------------------------------

(52)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs6(vz3, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(53) MRRProof (EQUIVALENT)
By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.


Strictly oriented rules of the TRS R:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

Used ordering: Polynomial interpretation [POLO]:

   POL(new_gtGtEs6(x_1, x_2, x_3, x_4, x_5)) = x_1 + x_2 + x_3 + x_4 + x_5
   POL(new_gtGtEs8(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 1 + x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9
   POL(new_sequence10(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 2 + 2*x_1 + 2*x_2 + 2*x_3 + 2*x_4 + 2*x_5 + 2*x_6 + 2*x_7 + 2*x_8 + 2*x_9


----------------------------------------

(54)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs6(vz3, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)

R is empty.
The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(55) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)


----------------------------------------

(56)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs6(vz3, vz4111, h, ba, bb) -> new_gtGtEs6(vz3, vz4111, h, ba, bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(57) NonTerminationLoopProof (COMPLETE)
We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = new_gtGtEs6(vz3, vz4111, h, ba, bb) evaluates to  t =new_gtGtEs6(vz3, vz4111, h, ba, bb)

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
* Matcher: [ ]
* Semiunifier: [ ]

--------------------------------------------------------------------------------
Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from new_gtGtEs6(vz3, vz4111, h, ba, bb) to new_gtGtEs6(vz3, vz4111, h, ba, bb).




----------------------------------------

(58)
NO

----------------------------------------

(59)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)

The TRS R consists of the following rules:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(60) MRRProof (EQUIVALENT)
By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented.


Strictly oriented rules of the TRS R:

   new_sequence10(vz11, vz12, vz13, vz14, vz15, vz100, bc, bd, be) -> new_gtGtEs8(vz13, vz14, vz15, vz11, vz12, vz100, bc, bd, be)

Used ordering: Polynomial interpretation [POLO]:

   POL(new_gtGtEs7(x_1, x_2, x_3, x_4, x_5, x_6)) = x_1 + x_2 + x_3 + x_4 + x_5 + x_6
   POL(new_gtGtEs8(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 1 + x_1 + x_2 + x_3 + x_4 + x_5 + x_6 + x_7 + x_8 + x_9
   POL(new_sequence10(x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8, x_9)) = 2 + 2*x_1 + 2*x_2 + 2*x_3 + 2*x_4 + 2*x_5 + 2*x_6 + 2*x_7 + 2*x_8 + 2*x_9


----------------------------------------

(61)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)

R is empty.
The set Q consists of the following terms:

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(62) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_sequence10(x0, x1, x2, x3, x4, x5, x6, x7, x8)


----------------------------------------

(63)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) -> new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(64) NonTerminationLoopProof (COMPLETE)
We used the non-termination processor [FROCOS05] to show that the DP problem is infinite.
Found a loop by semiunifying a rule from P directly.

s = new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) evaluates to  t =new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb)

Thus s starts an infinite chain as s semiunifies with t with the following substitutions:
* Matcher: [ ]
* Semiunifier: [ ]

--------------------------------------------------------------------------------
Rewriting sequence

The DP semiunifies directly so there is only one rewrite step from new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb) to new_gtGtEs7(vz3, vz41110, vz41111, h, ba, bb).




----------------------------------------

(65)
NO

----------------------------------------

(66)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba)
   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(67) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(new_psPs(vz710, [], new_gtGtEs0(vz710, h, ba), h, ba), vz711, vz50, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba),new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba))


----------------------------------------

(68)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []
   new_psPs(vz50, vz230, vz27, h, ba) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(69) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(70)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []

The set Q consists of the following terms:

   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(71) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_psPs(x0, x1, x2, x3, x4)


----------------------------------------

(72)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []

The set Q consists of the following terms:

   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(73) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), new_gtGtEs0(vz710, h, ba)), vz711, vz50, h, ba) at position [0,1] we obtained the following new rules [LPAR04]:

   (new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba),new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba))


----------------------------------------

(74)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, h, ba) -> []

The set Q consists of the following terms:

   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(75) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(76)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba)

R is empty.
The set Q consists of the following terms:

   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(77) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_gtGtEs0(x0, x1, x2)


----------------------------------------

(78)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
   new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(79) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs(:(vz280, vz281), vz71, vz50, h, ba) -> new_gtGtEs(vz281, vz71, vz50, h, ba)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5


*new_gtGtEs([], :(vz710, vz711), vz50, h, ba) -> new_gtGtEs(:(:(vz710, []), []), vz711, vz50, h, ba)
The graph contains the following edges 2 > 2, 3 >= 3, 4 >= 4, 5 >= 5


----------------------------------------

(80)
YES

----------------------------------------

(81)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_sequence1(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_sequence1(vz20, vz21, vz190, h, ba) -> new_gtGtEs2(vz20, vz21, vz190, h, ba)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs0(vz50, bb, bc) -> []
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)
   new_gtGtEs2(vz70, vz71, vz50, bb, bc) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, bb, bc), vz71, vz50, bb, bc), bb, bc)

The set Q consists of the following terms:

   new_sequence1(x0, x1, x2, x3, x4)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(82) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_sequence1(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba),new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba))


----------------------------------------

(83)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_sequence1(vz20, vz21, vz190, h, ba) -> new_gtGtEs2(vz20, vz21, vz190, h, ba)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs0(vz50, bb, bc) -> []
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)
   new_gtGtEs2(vz70, vz71, vz50, bb, bc) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, bb, bc), vz71, vz50, bb, bc), bb, bc)

The set Q consists of the following terms:

   new_sequence1(x0, x1, x2, x3, x4)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(84) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(85)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, bb, bc) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, bb, bc), vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_sequence1(x0, x1, x2, x3, x4)
   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(86) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_sequence1(x0, x1, x2, x3, x4)


----------------------------------------

(87)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, bb, bc) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, bb, bc), vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(88) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_gtGtEs2(vz20, vz21, vz190, h, ba), vz191, vz20, vz21, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba),new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba))


----------------------------------------

(89)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs2(vz70, vz71, vz50, bb, bc) -> new_psPs(vz50, :(vz70, []), new_gtGtEs3(new_gtGtEs0(vz70, bb, bc), vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(90) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(91)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs2(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(92) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_gtGtEs2(x0, x1, x2, x3, x4)


----------------------------------------

(93)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(94) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(new_psPs(vz190, :(vz20, []), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba), h, ba), vz191, vz20, vz21, h, ba) at position [0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba),new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba))


----------------------------------------

(95)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(96) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs3(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba) at position [0,1] we obtained the following new rules [LPAR04]:

   (new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba),new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba))


----------------------------------------

(97)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs3(vz28, vz71, vz50, bb, bc) -> new_gtGtEs4(vz28, vz71, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(98) UsableRulesProof (EQUIVALENT)
As all Q-normal forms are R-normal forms we are in the innermost case. Hence, by the usable rules processor [LPAR04] we can delete all non-usable rules [FROCOS05] from R.
----------------------------------------

(99)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs3(x0, x1, x2, x3, x4)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(100) QReductionProof (EQUIVALENT)
We deleted the following terms from Q as each root-symbol of these terms does neither occur in P nor in R.[THIEMANN].

   new_gtGtEs3(x0, x1, x2, x3, x4)


----------------------------------------

(101)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(102) TransformationProof (EQUIVALENT)
By rewriting [LPAR04] the rule new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4(new_gtGtEs0(vz20, h, ba), vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba) at position [0,1,0] we obtained the following new rules [LPAR04]:

   (new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4([], vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba),new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4([], vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba))


----------------------------------------

(103)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
   new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4([], vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)

The TRS R consists of the following rules:

   new_gtGtEs0(vz50, bb, bc) -> []
   new_gtGtEs4(:(vz280, vz281), vz71, vz50, bb, bc) -> new_psPs(vz50, vz280, new_gtGtEs4(vz281, vz71, vz50, bb, bc), bb, bc)
   new_gtGtEs4([], [], vz50, bb, bc) -> new_gtGtEs0(vz50, bb, bc)
   new_gtGtEs4([], :(vz710, vz711), vz50, bb, bc) -> new_gtGtEs4(new_psPs(vz710, [], new_gtGtEs0(vz710, bb, bc), bb, bc), vz711, vz50, bb, bc)
   new_psPs(vz50, vz230, vz27, bb, bc) -> :(:(vz50, vz230), vz27)

The set Q consists of the following terms:

   new_gtGtEs4([], :(x0, x1), x2, x3, x4)
   new_psPs(x0, x1, x2, x3, x4)
   new_gtGtEs4(:(x0, x1), x2, x3, x4, x5)
   new_gtGtEs4([], [], x0, x1, x2)
   new_gtGtEs0(x0, x1, x2)

We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(104) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs10(:(vz180, vz181), vz19, vz20, vz21, h, ba) -> new_gtGtEs10(vz181, vz19, vz20, vz21, h, ba)
The graph contains the following edges 1 > 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6


*new_gtGtEs10([], :(vz190, vz191), vz20, vz21, h, ba) -> new_gtGtEs10(:(:(vz190, :(vz20, [])), new_gtGtEs4([], vz21, vz190, h, ba)), vz191, vz20, vz21, h, ba)
The graph contains the following edges 2 > 2, 3 >= 3, 4 >= 4, 5 >= 5, 6 >= 6


----------------------------------------

(105)
YES

----------------------------------------

(106)
Obligation:
Q DP problem:
The TRS P consists of the following rules:

   new_gtGtEs12([], vz3, vz411, vz50, :(vz510, vz511), h, ba, bb) -> new_gtGtEs12([], vz3, vz411, vz510, vz511, h, ba, bb)

R is empty.
Q is empty.
We have to consider all minimal (P,Q,R)-chains.
----------------------------------------

(107) QDPSizeChangeProof (EQUIVALENT)
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. 

From the DPs we obtained the following set of size-change graphs:
*new_gtGtEs12([], vz3, vz411, vz50, :(vz510, vz511), h, ba, bb) -> new_gtGtEs12([], vz3, vz411, vz510, vz511, h, ba, bb)
The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 5 > 4, 5 > 5, 6 >= 6, 7 >= 7, 8 >= 8


----------------------------------------

(108)
YES

----------------------------------------

(109) Narrow (COMPLETE)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="Monad.mapAndUnzipM",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="Monad.mapAndUnzipM vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
4[label="Monad.mapAndUnzipM vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
5[label="sequence (map vz3 vz4) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];314[label="vz4/vz40 : vz41",fontsize=10,color="white",style="solid",shape="box"];5 -> 314[label="",style="solid", color="burlywood", weight=9];
314 -> 6[label="",style="solid", color="burlywood", weight=3];
315[label="vz4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 315[label="",style="solid", color="burlywood", weight=9];
315 -> 7[label="",style="solid", color="burlywood", weight=3];
6[label="sequence (map vz3 (vz40 : vz41)) >>= return . unzip",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3];
7[label="sequence (map vz3 []) >>= return . unzip",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3];
8[label="sequence (vz3 vz40 : map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3];
9[label="sequence [] >>= return . unzip",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3];
10 -> 12[label="",style="dashed", color="red", weight=0];
10[label="vz3 vz40 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="magenta"];10 -> 13[label="",style="dashed", color="magenta", weight=3];
11[label="return [] >>= return . unzip",fontsize=16,color="black",shape="box"];11 -> 14[label="",style="solid", color="black", weight=3];
13[label="vz3 vz40",fontsize=16,color="green",shape="box"];13 -> 18[label="",style="dashed", color="green", weight=3];
12[label="vz5 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];316[label="vz5/vz50 : vz51",fontsize=10,color="white",style="solid",shape="box"];12 -> 316[label="",style="solid", color="burlywood", weight=9];
316 -> 16[label="",style="solid", color="burlywood", weight=3];
317[label="vz5/[]",fontsize=10,color="white",style="solid",shape="box"];12 -> 317[label="",style="solid", color="burlywood", weight=9];
317 -> 17[label="",style="solid", color="burlywood", weight=3];
14[label="[] : [] >>= return . unzip",fontsize=16,color="black",shape="box"];14 -> 19[label="",style="solid", color="black", weight=3];
18[label="vz40",fontsize=16,color="green",shape="box"];16[label="vz50 : vz51 >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
17[label="[] >>= sequence1 (map vz3 vz41) >>= return . unzip",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
19 -> 129[label="",style="dashed", color="red", weight=0];
19[label="return . unzip ++ ([] >>= return . unzip)",fontsize=16,color="magenta"];19 -> 130[label="",style="dashed", color="magenta", weight=3];
19 -> 131[label="",style="dashed", color="magenta", weight=3];
20[label="sequence1 (map vz3 vz41) vz50 ++ (vz51 >>= sequence1 (map vz3 vz41)) >>= return . unzip",fontsize=16,color="black",shape="box"];20 -> 23[label="",style="solid", color="black", weight=3];
21[label="[] >>= return . unzip",fontsize=16,color="black",shape="triangle"];21 -> 24[label="",style="solid", color="black", weight=3];
130[label="[]",fontsize=16,color="green",shape="box"];131 -> 21[label="",style="dashed", color="red", weight=0];
131[label="[] >>= return . unzip",fontsize=16,color="magenta"];129[label="return . unzip ++ vz22",fontsize=16,color="black",shape="triangle"];129 -> 135[label="",style="solid", color="black", weight=3];
23[label="(sequence (map vz3 vz41) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 vz41)) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];318[label="vz41/vz410 : vz411",fontsize=10,color="white",style="solid",shape="box"];23 -> 318[label="",style="solid", color="burlywood", weight=9];
318 -> 27[label="",style="solid", color="burlywood", weight=3];
319[label="vz41/[]",fontsize=10,color="white",style="solid",shape="box"];23 -> 319[label="",style="solid", color="burlywood", weight=9];
319 -> 28[label="",style="solid", color="burlywood", weight=3];
24[label="[]",fontsize=16,color="green",shape="box"];135[label="return (unzip vz90) ++ vz22",fontsize=16,color="black",shape="box"];135 -> 145[label="",style="solid", color="black", weight=3];
27[label="(sequence (map vz3 (vz410 : vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 (vz410 : vz411))) >>= return . unzip",fontsize=16,color="black",shape="box"];27 -> 30[label="",style="solid", color="black", weight=3];
28[label="(sequence (map vz3 []) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (map vz3 [])) >>= return . unzip",fontsize=16,color="black",shape="box"];28 -> 31[label="",style="solid", color="black", weight=3];
145[label="(unzip vz90 : []) ++ vz22",fontsize=16,color="black",shape="box"];145 -> 156[label="",style="solid", color="black", weight=3];
30[label="(sequence (vz3 vz410 : map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz3 vz410 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];30 -> 33[label="",style="solid", color="black", weight=3];
31[label="(sequence [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="triangle"];31 -> 34[label="",style="solid", color="black", weight=3];
156[label="unzip vz90 : [] ++ vz22",fontsize=16,color="green",shape="box"];156 -> 168[label="",style="dashed", color="green", weight=3];
156 -> 169[label="",style="dashed", color="green", weight=3];
33 -> 37[label="",style="dashed", color="red", weight=0];
33[label="(vz3 vz410 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz3 vz410 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="magenta"];33 -> 38[label="",style="dashed", color="magenta", weight=3];
34[label="(return [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];34 -> 39[label="",style="solid", color="black", weight=3];
168[label="unzip vz90",fontsize=16,color="black",shape="box"];168 -> 179[label="",style="solid", color="black", weight=3];
169[label="[] ++ vz22",fontsize=16,color="black",shape="box"];169 -> 180[label="",style="solid", color="black", weight=3];
38[label="vz3 vz410",fontsize=16,color="green",shape="box"];38 -> 45[label="",style="dashed", color="green", weight=3];
37[label="(vz7 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 (vz7 : map vz3 vz411)) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];320[label="vz7/vz70 : vz71",fontsize=10,color="white",style="solid",shape="box"];37 -> 320[label="",style="solid", color="burlywood", weight=9];
320 -> 43[label="",style="solid", color="burlywood", weight=3];
321[label="vz7/[]",fontsize=10,color="white",style="solid",shape="box"];37 -> 321[label="",style="solid", color="burlywood", weight=9];
321 -> 44[label="",style="solid", color="burlywood", weight=3];
39[label="([] : [] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];39 -> 46[label="",style="solid", color="black", weight=3];
179[label="foldr unzip0 ([],[]) vz90",fontsize=16,color="burlywood",shape="triangle"];322[label="vz90/vz900 : vz901",fontsize=10,color="white",style="solid",shape="box"];179 -> 322[label="",style="solid", color="burlywood", weight=9];
322 -> 187[label="",style="solid", color="burlywood", weight=3];
323[label="vz90/[]",fontsize=10,color="white",style="solid",shape="box"];179 -> 323[label="",style="solid", color="burlywood", weight=9];
323 -> 188[label="",style="solid", color="burlywood", weight=3];
180[label="vz22",fontsize=16,color="green",shape="box"];45[label="vz410",fontsize=16,color="green",shape="box"];43[label="(vz70 : vz71 >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];43 -> 48[label="",style="solid", color="black", weight=3];
44[label="([] >>= sequence1 (map vz3 vz411) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];44 -> 49[label="",style="solid", color="black", weight=3];
46[label="(sequence0 vz50 [] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];46 -> 50[label="",style="solid", color="black", weight=3];
187[label="foldr unzip0 ([],[]) (vz900 : vz901)",fontsize=16,color="black",shape="box"];187 -> 207[label="",style="solid", color="black", weight=3];
188[label="foldr unzip0 ([],[]) []",fontsize=16,color="black",shape="box"];188 -> 208[label="",style="solid", color="black", weight=3];
48[label="(sequence1 (map vz3 vz411) vz70 ++ (vz71 >>= sequence1 (map vz3 vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];48 -> 51[label="",style="solid", color="black", weight=3];
49[label="([] >>= sequence0 vz50) ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];49 -> 52[label="",style="solid", color="black", weight=3];
50[label="(return (vz50 : []) ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];50 -> 53[label="",style="solid", color="black", weight=3];
207 -> 220[label="",style="dashed", color="red", weight=0];
207[label="unzip0 vz900 (foldr unzip0 ([],[]) vz901)",fontsize=16,color="magenta"];207 -> 221[label="",style="dashed", color="magenta", weight=3];
208[label="([],[])",fontsize=16,color="green",shape="box"];51[label="((sequence (map vz3 vz411) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 vz411)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 vz411)) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];324[label="vz411/vz4110 : vz4111",fontsize=10,color="white",style="solid",shape="box"];51 -> 324[label="",style="solid", color="burlywood", weight=9];
324 -> 54[label="",style="solid", color="burlywood", weight=3];
325[label="vz411/[]",fontsize=10,color="white",style="solid",shape="box"];51 -> 325[label="",style="solid", color="burlywood", weight=9];
325 -> 55[label="",style="solid", color="burlywood", weight=3];
52[label="[] ++ (vz51 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];52 -> 56[label="",style="solid", color="black", weight=3];
53[label="(((vz50 : []) : []) ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];53 -> 57[label="",style="solid", color="black", weight=3];
221 -> 179[label="",style="dashed", color="red", weight=0];
221[label="foldr unzip0 ([],[]) vz901",fontsize=16,color="magenta"];221 -> 222[label="",style="dashed", color="magenta", weight=3];
220[label="unzip0 vz900 vz25",fontsize=16,color="burlywood",shape="triangle"];326[label="vz900/(vz9000,vz9001)",fontsize=10,color="white",style="solid",shape="box"];220 -> 326[label="",style="solid", color="burlywood", weight=9];
326 -> 223[label="",style="solid", color="burlywood", weight=3];
54[label="((sequence (map vz3 (vz4110 : vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 (vz4110 : vz4111))) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 (vz4110 : vz4111))) >>= return . unzip",fontsize=16,color="black",shape="box"];54 -> 58[label="",style="solid", color="black", weight=3];
55[label="((sequence (map vz3 []) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (map vz3 [])) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : map vz3 [])) >>= return . unzip",fontsize=16,color="black",shape="box"];55 -> 59[label="",style="solid", color="black", weight=3];
56[label="vz51 >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];327[label="vz51/vz510 : vz511",fontsize=10,color="white",style="solid",shape="box"];56 -> 327[label="",style="solid", color="burlywood", weight=9];
327 -> 60[label="",style="solid", color="burlywood", weight=3];
328[label="vz51/[]",fontsize=10,color="white",style="solid",shape="box"];56 -> 328[label="",style="solid", color="burlywood", weight=9];
328 -> 61[label="",style="solid", color="burlywood", weight=3];
57[label="((vz50 : []) : [] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];57 -> 62[label="",style="solid", color="black", weight=3];
222[label="vz901",fontsize=16,color="green",shape="box"];223[label="unzip0 (vz9000,vz9001) vz25",fontsize=16,color="black",shape="box"];223 -> 226[label="",style="solid", color="black", weight=3];
58 -> 68[label="",style="dashed", color="red", weight=0];
58[label="((sequence (vz3 vz4110 : map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : vz3 vz4110 : map vz3 vz4111)) >>= return . unzip",fontsize=16,color="magenta"];58 -> 69[label="",style="dashed", color="magenta", weight=3];
58 -> 70[label="",style="dashed", color="magenta", weight=3];
58 -> 71[label="",style="dashed", color="magenta", weight=3];
58 -> 72[label="",style="dashed", color="magenta", weight=3];
58 -> 73[label="",style="dashed", color="magenta", weight=3];
58 -> 74[label="",style="dashed", color="magenta", weight=3];
58 -> 75[label="",style="dashed", color="magenta", weight=3];
59 -> 103[label="",style="dashed", color="red", weight=0];
59[label="((sequence [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50) ++ (vz51 >>= sequence1 ((vz70 : vz71) : [])) >>= return . unzip",fontsize=16,color="magenta"];59 -> 104[label="",style="dashed", color="magenta", weight=3];
59 -> 105[label="",style="dashed", color="magenta", weight=3];
59 -> 106[label="",style="dashed", color="magenta", weight=3];
59 -> 107[label="",style="dashed", color="magenta", weight=3];
60[label="vz510 : vz511 >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="black",shape="box"];60 -> 65[label="",style="solid", color="black", weight=3];
61[label="[] >>= sequence1 ([] : map vz3 vz411) >>= return . unzip",fontsize=16,color="black",shape="box"];61 -> 66[label="",style="solid", color="black", weight=3];
62[label="(vz50 : []) : ([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];62 -> 67[label="",style="solid", color="black", weight=3];
226[label="(vz9000 : unzip00 vz25,vz9001 : unzip01 vz25)",fontsize=16,color="green",shape="box"];226 -> 243[label="",style="dashed", color="green", weight=3];
226 -> 244[label="",style="dashed", color="green", weight=3];
69[label="vz3",fontsize=16,color="green",shape="box"];70[label="vz4110",fontsize=16,color="green",shape="box"];71[label="vz4111",fontsize=16,color="green",shape="box"];72[label="(sequence (vz3 vz4110 : map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];72 -> 83[label="",style="solid", color="black", weight=3];
73[label="vz71",fontsize=16,color="green",shape="box"];74[label="vz70",fontsize=16,color="green",shape="box"];75[label="vz51",fontsize=16,color="green",shape="box"];68[label="vz9 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];329[label="vz9/vz90 : vz91",fontsize=10,color="white",style="solid",shape="box"];68 -> 329[label="",style="solid", color="burlywood", weight=9];
329 -> 84[label="",style="solid", color="burlywood", weight=3];
330[label="vz9/[]",fontsize=10,color="white",style="solid",shape="box"];68 -> 330[label="",style="solid", color="burlywood", weight=9];
330 -> 85[label="",style="solid", color="burlywood", weight=3];
104[label="vz71",fontsize=16,color="green",shape="box"];105[label="vz51",fontsize=16,color="green",shape="box"];106[label="vz70",fontsize=16,color="green",shape="box"];107[label="(sequence [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];107 -> 120[label="",style="solid", color="black", weight=3];
103[label="vz18 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="burlywood",shape="triangle"];331[label="vz18/vz180 : vz181",fontsize=10,color="white",style="solid",shape="box"];103 -> 331[label="",style="solid", color="burlywood", weight=9];
331 -> 121[label="",style="solid", color="burlywood", weight=3];
332[label="vz18/[]",fontsize=10,color="white",style="solid",shape="box"];103 -> 332[label="",style="solid", color="burlywood", weight=9];
332 -> 122[label="",style="solid", color="burlywood", weight=3];
65[label="sequence1 ([] : map vz3 vz411) vz510 ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];65 -> 87[label="",style="solid", color="black", weight=3];
66 -> 21[label="",style="dashed", color="red", weight=0];
66[label="[] >>= return . unzip",fontsize=16,color="magenta"];67 -> 129[label="",style="dashed", color="red", weight=0];
67[label="return . unzip ++ (([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip)",fontsize=16,color="magenta"];67 -> 132[label="",style="dashed", color="magenta", weight=3];
67 -> 133[label="",style="dashed", color="magenta", weight=3];
243[label="unzip00 vz25",fontsize=16,color="burlywood",shape="box"];333[label="vz25/(vz250,vz251)",fontsize=10,color="white",style="solid",shape="box"];243 -> 333[label="",style="solid", color="burlywood", weight=9];
333 -> 260[label="",style="solid", color="burlywood", weight=3];
244[label="unzip01 vz25",fontsize=16,color="burlywood",shape="box"];334[label="vz25/(vz250,vz251)",fontsize=10,color="white",style="solid",shape="box"];244 -> 334[label="",style="solid", color="burlywood", weight=9];
334 -> 261[label="",style="solid", color="burlywood", weight=3];
83 -> 89[label="",style="dashed", color="red", weight=0];
83[label="(vz3 vz4110 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz3 vz4110 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="magenta"];83 -> 90[label="",style="dashed", color="magenta", weight=3];
84[label="(vz90 : vz91) ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];84 -> 91[label="",style="solid", color="black", weight=3];
85[label="[] ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];85 -> 92[label="",style="solid", color="black", weight=3];
120[label="(return [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];120 -> 136[label="",style="solid", color="black", weight=3];
121[label="(vz180 : vz181) ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];121 -> 137[label="",style="solid", color="black", weight=3];
122[label="[] ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];122 -> 138[label="",style="solid", color="black", weight=3];
87[label="(sequence ([] : map vz3 vz411) >>= sequence0 vz510) ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="black",shape="box"];87 -> 94[label="",style="solid", color="black", weight=3];
132[label="vz50 : []",fontsize=16,color="green",shape="box"];133[label="([] ++ ([] >>= sequence0 vz50)) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];133 -> 139[label="",style="solid", color="black", weight=3];
260[label="unzip00 (vz250,vz251)",fontsize=16,color="black",shape="box"];260 -> 264[label="",style="solid", color="black", weight=3];
261[label="unzip01 (vz250,vz251)",fontsize=16,color="black",shape="box"];261 -> 265[label="",style="solid", color="black", weight=3];
90[label="vz3 vz4110",fontsize=16,color="green",shape="box"];90 -> 99[label="",style="dashed", color="green", weight=3];
89[label="(vz16 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 (vz16 : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];335[label="vz16/vz160 : vz161",fontsize=10,color="white",style="solid",shape="box"];89 -> 335[label="",style="solid", color="burlywood", weight=9];
335 -> 97[label="",style="solid", color="burlywood", weight=3];
336[label="vz16/[]",fontsize=10,color="white",style="solid",shape="box"];89 -> 336[label="",style="solid", color="burlywood", weight=9];
336 -> 98[label="",style="solid", color="burlywood", weight=3];
91[label="vz90 : vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="black",shape="box"];91 -> 100[label="",style="solid", color="black", weight=3];
92[label="vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];337[label="vz10/vz100 : vz101",fontsize=10,color="white",style="solid",shape="box"];92 -> 337[label="",style="solid", color="burlywood", weight=9];
337 -> 101[label="",style="solid", color="burlywood", weight=3];
338[label="vz10/[]",fontsize=10,color="white",style="solid",shape="box"];92 -> 338[label="",style="solid", color="burlywood", weight=9];
338 -> 102[label="",style="solid", color="burlywood", weight=3];
136[label="([] : [] >>= sequence0 vz70) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];136 -> 146[label="",style="solid", color="black", weight=3];
137[label="vz180 : vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="black",shape="box"];137 -> 147[label="",style="solid", color="black", weight=3];
138[label="vz19 >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="burlywood",shape="box"];339[label="vz19/vz190 : vz191",fontsize=10,color="white",style="solid",shape="box"];138 -> 339[label="",style="solid", color="burlywood", weight=9];
339 -> 148[label="",style="solid", color="burlywood", weight=3];
340[label="vz19/[]",fontsize=10,color="white",style="solid",shape="box"];138 -> 340[label="",style="solid", color="burlywood", weight=9];
340 -> 149[label="",style="solid", color="burlywood", weight=3];
94 -> 37[label="",style="dashed", color="red", weight=0];
94[label="([] >>= sequence1 (map vz3 vz411) >>= sequence0 vz510) ++ (vz511 >>= sequence1 ([] : map vz3 vz411)) >>= return . unzip",fontsize=16,color="magenta"];94 -> 123[label="",style="dashed", color="magenta", weight=3];
94 -> 124[label="",style="dashed", color="magenta", weight=3];
94 -> 125[label="",style="dashed", color="magenta", weight=3];
139[label="([] >>= sequence0 vz50) ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];139 -> 150[label="",style="solid", color="black", weight=3];
264[label="vz250",fontsize=16,color="green",shape="box"];265[label="vz251",fontsize=16,color="green",shape="box"];99[label="vz4110",fontsize=16,color="green",shape="box"];97[label="(vz160 : vz161 >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];97 -> 127[label="",style="solid", color="black", weight=3];
98[label="([] >>= sequence1 (map vz3 vz4111) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];98 -> 128[label="",style="solid", color="black", weight=3];
100 -> 129[label="",style="dashed", color="red", weight=0];
100[label="return . unzip ++ (vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip)",fontsize=16,color="magenta"];100 -> 134[label="",style="dashed", color="magenta", weight=3];
101[label="vz100 : vz101 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="black",shape="box"];101 -> 140[label="",style="solid", color="black", weight=3];
102[label="[] >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= return . unzip",fontsize=16,color="black",shape="box"];102 -> 141[label="",style="solid", color="black", weight=3];
146[label="(sequence0 vz70 [] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];146 -> 157[label="",style="solid", color="black", weight=3];
147 -> 129[label="",style="dashed", color="red", weight=0];
147[label="return . unzip ++ (vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip)",fontsize=16,color="magenta"];147 -> 158[label="",style="dashed", color="magenta", weight=3];
147 -> 159[label="",style="dashed", color="magenta", weight=3];
148[label="vz190 : vz191 >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="black",shape="box"];148 -> 160[label="",style="solid", color="black", weight=3];
149[label="[] >>= sequence1 ((vz20 : vz21) : []) >>= return . unzip",fontsize=16,color="black",shape="box"];149 -> 161[label="",style="solid", color="black", weight=3];
123[label="[]",fontsize=16,color="green",shape="box"];124[label="vz510",fontsize=16,color="green",shape="box"];125[label="vz511",fontsize=16,color="green",shape="box"];150[label="[] ++ (vz51 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];150 -> 162[label="",style="solid", color="black", weight=3];
127[label="(sequence1 (map vz3 vz4111) vz160 ++ (vz161 >>= sequence1 (map vz3 vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];127 -> 142[label="",style="solid", color="black", weight=3];
128[label="([] >>= sequence0 vz70) ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];128 -> 143[label="",style="solid", color="black", weight=3];
134 -> 68[label="",style="dashed", color="red", weight=0];
134[label="vz91 ++ (vz10 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="magenta"];134 -> 144[label="",style="dashed", color="magenta", weight=3];
140 -> 68[label="",style="dashed", color="red", weight=0];
140[label="sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) vz100 ++ (vz101 >>= sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15)) >>= return . unzip",fontsize=16,color="magenta"];140 -> 151[label="",style="dashed", color="magenta", weight=3];
140 -> 152[label="",style="dashed", color="magenta", weight=3];
141 -> 21[label="",style="dashed", color="red", weight=0];
141[label="[] >>= return . unzip",fontsize=16,color="magenta"];157[label="(return (vz70 : []) ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];157 -> 170[label="",style="solid", color="black", weight=3];
158[label="vz180",fontsize=16,color="green",shape="box"];159 -> 103[label="",style="dashed", color="red", weight=0];
159[label="vz181 ++ (vz19 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="magenta"];159 -> 171[label="",style="dashed", color="magenta", weight=3];
160 -> 103[label="",style="dashed", color="red", weight=0];
160[label="sequence1 ((vz20 : vz21) : []) vz190 ++ (vz191 >>= sequence1 ((vz20 : vz21) : [])) >>= return . unzip",fontsize=16,color="magenta"];160 -> 172[label="",style="dashed", color="magenta", weight=3];
160 -> 173[label="",style="dashed", color="magenta", weight=3];
161 -> 21[label="",style="dashed", color="red", weight=0];
161[label="[] >>= return . unzip",fontsize=16,color="magenta"];162[label="vz51 >>= sequence1 [] >>= return . unzip",fontsize=16,color="burlywood",shape="box"];341[label="vz51/vz510 : vz511",fontsize=10,color="white",style="solid",shape="box"];162 -> 341[label="",style="solid", color="burlywood", weight=9];
341 -> 174[label="",style="solid", color="burlywood", weight=3];
342[label="vz51/[]",fontsize=10,color="white",style="solid",shape="box"];162 -> 342[label="",style="solid", color="burlywood", weight=9];
342 -> 175[label="",style="solid", color="burlywood", weight=3];
142[label="((sequence (map vz3 vz4111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 vz4111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];343[label="vz4111/vz41110 : vz41111",fontsize=10,color="white",style="solid",shape="box"];142 -> 343[label="",style="solid", color="burlywood", weight=9];
343 -> 153[label="",style="solid", color="burlywood", weight=3];
344[label="vz4111/[]",fontsize=10,color="white",style="solid",shape="box"];142 -> 344[label="",style="solid", color="burlywood", weight=9];
344 -> 154[label="",style="solid", color="burlywood", weight=3];
143[label="[] ++ (vz71 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];143 -> 155[label="",style="solid", color="black", weight=3];
144[label="vz91",fontsize=16,color="green",shape="box"];151[label="sequence1 ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) vz100",fontsize=16,color="black",shape="triangle"];151 -> 163[label="",style="solid", color="black", weight=3];
152[label="vz101",fontsize=16,color="green",shape="box"];170[label="(((vz70 : []) : []) ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];170 -> 181[label="",style="solid", color="black", weight=3];
171[label="vz181",fontsize=16,color="green",shape="box"];172[label="vz191",fontsize=16,color="green",shape="box"];173[label="sequence1 ((vz20 : vz21) : []) vz190",fontsize=16,color="black",shape="triangle"];173 -> 182[label="",style="solid", color="black", weight=3];
174[label="vz510 : vz511 >>= sequence1 [] >>= return . unzip",fontsize=16,color="black",shape="box"];174 -> 183[label="",style="solid", color="black", weight=3];
175[label="[] >>= sequence1 [] >>= return . unzip",fontsize=16,color="black",shape="box"];175 -> 184[label="",style="solid", color="black", weight=3];
153[label="((sequence (map vz3 (vz41110 : vz41111)) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 (vz41110 : vz41111))) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 (vz41110 : vz41111))) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];153 -> 164[label="",style="solid", color="black", weight=3];
154[label="((sequence (map vz3 []) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (map vz3 [])) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : map vz3 [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];154 -> 165[label="",style="solid", color="black", weight=3];
155[label="vz71 >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];345[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];155 -> 345[label="",style="solid", color="burlywood", weight=9];
345 -> 166[label="",style="solid", color="burlywood", weight=3];
346[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];155 -> 346[label="",style="solid", color="burlywood", weight=9];
346 -> 167[label="",style="solid", color="burlywood", weight=3];
163[label="sequence ((vz11 : vz12) : vz13 vz14 : map vz13 vz15) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];163 -> 176[label="",style="solid", color="black", weight=3];
181[label="((vz70 : []) : [] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];181 -> 189[label="",style="solid", color="black", weight=3];
182[label="sequence ((vz20 : vz21) : []) >>= sequence0 vz190",fontsize=16,color="black",shape="box"];182 -> 190[label="",style="solid", color="black", weight=3];
183[label="sequence1 [] vz510 ++ (vz511 >>= sequence1 []) >>= return . unzip",fontsize=16,color="black",shape="box"];183 -> 191[label="",style="solid", color="black", weight=3];
184 -> 21[label="",style="dashed", color="red", weight=0];
184[label="[] >>= return . unzip",fontsize=16,color="magenta"];164 -> 177[label="",style="dashed", color="red", weight=0];
164[label="((sequence (vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];164 -> 178[label="",style="dashed", color="magenta", weight=3];
165 -> 185[label="",style="dashed", color="red", weight=0];
165[label="((sequence [] >>= sequence0 vz160) ++ (vz161 >>= sequence1 []) >>= sequence0 vz70) ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];165 -> 186[label="",style="dashed", color="magenta", weight=3];
166[label="vz710 : vz711 >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];166 -> 192[label="",style="solid", color="black", weight=3];
167[label="[] >>= sequence1 ([] : map vz3 vz4111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];167 -> 193[label="",style="solid", color="black", weight=3];
176[label="vz11 : vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];176 -> 194[label="",style="solid", color="black", weight=3];
189[label="(vz70 : []) : ([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];189 -> 209[label="",style="solid", color="black", weight=3];
190[label="vz20 : vz21 >>= sequence1 [] >>= sequence0 vz190",fontsize=16,color="black",shape="box"];190 -> 210[label="",style="solid", color="black", weight=3];
191 -> 31[label="",style="dashed", color="red", weight=0];
191[label="(sequence [] >>= sequence0 vz510) ++ (vz511 >>= sequence1 []) >>= return . unzip",fontsize=16,color="magenta"];191 -> 211[label="",style="dashed", color="magenta", weight=3];
191 -> 212[label="",style="dashed", color="magenta", weight=3];
178 -> 72[label="",style="dashed", color="red", weight=0];
178[label="(sequence (vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz160) ++ (vz161 >>= sequence1 (vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz70",fontsize=16,color="magenta"];178 -> 195[label="",style="dashed", color="magenta", weight=3];
178 -> 196[label="",style="dashed", color="magenta", weight=3];
178 -> 197[label="",style="dashed", color="magenta", weight=3];
178 -> 198[label="",style="dashed", color="magenta", weight=3];
178 -> 199[label="",style="dashed", color="magenta", weight=3];
177[label="vz23 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];347[label="vz23/vz230 : vz231",fontsize=10,color="white",style="solid",shape="box"];177 -> 347[label="",style="solid", color="burlywood", weight=9];
347 -> 200[label="",style="solid", color="burlywood", weight=3];
348[label="vz23/[]",fontsize=10,color="white",style="solid",shape="box"];177 -> 348[label="",style="solid", color="burlywood", weight=9];
348 -> 201[label="",style="solid", color="burlywood", weight=3];
186 -> 107[label="",style="dashed", color="red", weight=0];
186[label="(sequence [] >>= sequence0 vz160) ++ (vz161 >>= sequence1 []) >>= sequence0 vz70",fontsize=16,color="magenta"];186 -> 202[label="",style="dashed", color="magenta", weight=3];
186 -> 203[label="",style="dashed", color="magenta", weight=3];
186 -> 204[label="",style="dashed", color="magenta", weight=3];
185[label="vz24 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];349[label="vz24/vz240 : vz241",fontsize=10,color="white",style="solid",shape="box"];185 -> 349[label="",style="solid", color="burlywood", weight=9];
349 -> 205[label="",style="solid", color="burlywood", weight=3];
350[label="vz24/[]",fontsize=10,color="white",style="solid",shape="box"];185 -> 350[label="",style="solid", color="burlywood", weight=9];
350 -> 206[label="",style="solid", color="burlywood", weight=3];
192[label="sequence1 ([] : map vz3 vz4111) vz710 ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];192 -> 213[label="",style="solid", color="black", weight=3];
193[label="[] >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];193 -> 214[label="",style="solid", color="black", weight=3];
194[label="sequence1 (vz13 vz14 : map vz13 vz15) vz11 ++ (vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15)) >>= sequence0 vz100",fontsize=16,color="black",shape="box"];194 -> 215[label="",style="solid", color="black", weight=3];
209 -> 252[label="",style="dashed", color="red", weight=0];
209[label="sequence0 vz50 (vz70 : []) ++ (([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50)",fontsize=16,color="magenta"];209 -> 253[label="",style="dashed", color="magenta", weight=3];
209 -> 254[label="",style="dashed", color="magenta", weight=3];
210[label="sequence1 [] vz20 ++ (vz21 >>= sequence1 []) >>= sequence0 vz190",fontsize=16,color="black",shape="box"];210 -> 227[label="",style="solid", color="black", weight=3];
211[label="vz510",fontsize=16,color="green",shape="box"];212[label="vz511",fontsize=16,color="green",shape="box"];195[label="vz160",fontsize=16,color="green",shape="box"];196[label="vz161",fontsize=16,color="green",shape="box"];197[label="vz70",fontsize=16,color="green",shape="box"];198[label="vz41110",fontsize=16,color="green",shape="box"];199[label="vz41111",fontsize=16,color="green",shape="box"];200[label="(vz230 : vz231) ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];200 -> 216[label="",style="solid", color="black", weight=3];
201[label="[] ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];201 -> 217[label="",style="solid", color="black", weight=3];
202[label="vz160",fontsize=16,color="green",shape="box"];203[label="vz161",fontsize=16,color="green",shape="box"];204[label="vz70",fontsize=16,color="green",shape="box"];205[label="(vz240 : vz241) ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];205 -> 218[label="",style="solid", color="black", weight=3];
206[label="[] ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];206 -> 219[label="",style="solid", color="black", weight=3];
213[label="(sequence ([] : map vz3 vz4111) >>= sequence0 vz710) ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];213 -> 228[label="",style="solid", color="black", weight=3];
214[label="[]",fontsize=16,color="green",shape="box"];215 -> 72[label="",style="dashed", color="red", weight=0];
215[label="(sequence (vz13 vz14 : map vz13 vz15) >>= sequence0 vz11) ++ (vz12 >>= sequence1 (vz13 vz14 : map vz13 vz15)) >>= sequence0 vz100",fontsize=16,color="magenta"];215 -> 229[label="",style="dashed", color="magenta", weight=3];
215 -> 230[label="",style="dashed", color="magenta", weight=3];
215 -> 231[label="",style="dashed", color="magenta", weight=3];
215 -> 232[label="",style="dashed", color="magenta", weight=3];
215 -> 233[label="",style="dashed", color="magenta", weight=3];
215 -> 234[label="",style="dashed", color="magenta", weight=3];
253[label="vz70 : []",fontsize=16,color="green",shape="box"];254 -> 262[label="",style="dashed", color="red", weight=0];
254[label="([] ++ ([] >>= sequence0 vz70)) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];254 -> 263[label="",style="dashed", color="magenta", weight=3];
252[label="sequence0 vz50 vz230 ++ vz27",fontsize=16,color="black",shape="triangle"];252 -> 266[label="",style="solid", color="black", weight=3];
227 -> 107[label="",style="dashed", color="red", weight=0];
227[label="(sequence [] >>= sequence0 vz20) ++ (vz21 >>= sequence1 []) >>= sequence0 vz190",fontsize=16,color="magenta"];227 -> 245[label="",style="dashed", color="magenta", weight=3];
227 -> 246[label="",style="dashed", color="magenta", weight=3];
227 -> 247[label="",style="dashed", color="magenta", weight=3];
216[label="vz230 : vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];216 -> 237[label="",style="solid", color="black", weight=3];
217[label="vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];351[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];217 -> 351[label="",style="solid", color="burlywood", weight=9];
351 -> 238[label="",style="solid", color="burlywood", weight=3];
352[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];217 -> 352[label="",style="solid", color="burlywood", weight=9];
352 -> 239[label="",style="solid", color="burlywood", weight=3];
218[label="vz240 : vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];218 -> 240[label="",style="solid", color="black", weight=3];
219[label="vz71 >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];353[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];219 -> 353[label="",style="solid", color="burlywood", weight=9];
353 -> 241[label="",style="solid", color="burlywood", weight=3];
354[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];219 -> 354[label="",style="solid", color="burlywood", weight=9];
354 -> 242[label="",style="solid", color="burlywood", weight=3];
228 -> 89[label="",style="dashed", color="red", weight=0];
228[label="([] >>= sequence1 (map vz3 vz4111) >>= sequence0 vz710) ++ (vz711 >>= sequence1 ([] : map vz3 vz4111)) >>= sequence0 vz50",fontsize=16,color="magenta"];228 -> 248[label="",style="dashed", color="magenta", weight=3];
228 -> 249[label="",style="dashed", color="magenta", weight=3];
228 -> 250[label="",style="dashed", color="magenta", weight=3];
229[label="vz13",fontsize=16,color="green",shape="box"];230[label="vz11",fontsize=16,color="green",shape="box"];231[label="vz12",fontsize=16,color="green",shape="box"];232[label="vz100",fontsize=16,color="green",shape="box"];233[label="vz14",fontsize=16,color="green",shape="box"];234[label="vz15",fontsize=16,color="green",shape="box"];263 -> 193[label="",style="dashed", color="red", weight=0];
263[label="[] >>= sequence0 vz70",fontsize=16,color="magenta"];263 -> 267[label="",style="dashed", color="magenta", weight=3];
262[label="([] ++ vz28) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="triangle"];262 -> 268[label="",style="solid", color="black", weight=3];
266[label="return (vz50 : vz230) ++ vz27",fontsize=16,color="black",shape="box"];266 -> 275[label="",style="solid", color="black", weight=3];
245[label="vz20",fontsize=16,color="green",shape="box"];246[label="vz21",fontsize=16,color="green",shape="box"];247[label="vz190",fontsize=16,color="green",shape="box"];237 -> 252[label="",style="dashed", color="red", weight=0];
237[label="sequence0 vz50 vz230 ++ (vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50)",fontsize=16,color="magenta"];237 -> 257[label="",style="dashed", color="magenta", weight=3];
238[label="vz710 : vz711 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];238 -> 269[label="",style="solid", color="black", weight=3];
239[label="[] >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];239 -> 270[label="",style="solid", color="black", weight=3];
240 -> 252[label="",style="dashed", color="red", weight=0];
240[label="sequence0 vz50 vz240 ++ (vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50)",fontsize=16,color="magenta"];240 -> 258[label="",style="dashed", color="magenta", weight=3];
240 -> 259[label="",style="dashed", color="magenta", weight=3];
241[label="vz710 : vz711 >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];241 -> 271[label="",style="solid", color="black", weight=3];
242[label="[] >>= sequence1 ((vz160 : vz161) : []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];242 -> 272[label="",style="solid", color="black", weight=3];
248[label="vz710",fontsize=16,color="green",shape="box"];249[label="vz711",fontsize=16,color="green",shape="box"];250[label="[]",fontsize=16,color="green",shape="box"];267[label="vz70",fontsize=16,color="green",shape="box"];268[label="vz28 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="burlywood",shape="triangle"];355[label="vz28/vz280 : vz281",fontsize=10,color="white",style="solid",shape="box"];268 -> 355[label="",style="solid", color="burlywood", weight=9];
355 -> 276[label="",style="solid", color="burlywood", weight=3];
356[label="vz28/[]",fontsize=10,color="white",style="solid",shape="box"];268 -> 356[label="",style="solid", color="burlywood", weight=9];
356 -> 277[label="",style="solid", color="burlywood", weight=3];
275[label="((vz50 : vz230) : []) ++ vz27",fontsize=16,color="black",shape="box"];275 -> 282[label="",style="solid", color="black", weight=3];
257 -> 177[label="",style="dashed", color="red", weight=0];
257[label="vz231 ++ (vz71 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];257 -> 273[label="",style="dashed", color="magenta", weight=3];
269 -> 177[label="",style="dashed", color="red", weight=0];
269[label="sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) vz710 ++ (vz711 >>= sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111)) >>= sequence0 vz50",fontsize=16,color="magenta"];269 -> 278[label="",style="dashed", color="magenta", weight=3];
269 -> 279[label="",style="dashed", color="magenta", weight=3];
270 -> 193[label="",style="dashed", color="red", weight=0];
270[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];258[label="vz240",fontsize=16,color="green",shape="box"];259 -> 185[label="",style="dashed", color="red", weight=0];
259[label="vz241 ++ (vz71 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];259 -> 274[label="",style="dashed", color="magenta", weight=3];
271 -> 185[label="",style="dashed", color="red", weight=0];
271[label="sequence1 ((vz160 : vz161) : []) vz710 ++ (vz711 >>= sequence1 ((vz160 : vz161) : [])) >>= sequence0 vz50",fontsize=16,color="magenta"];271 -> 280[label="",style="dashed", color="magenta", weight=3];
271 -> 281[label="",style="dashed", color="magenta", weight=3];
272 -> 193[label="",style="dashed", color="red", weight=0];
272[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];276[label="(vz280 : vz281) ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];276 -> 283[label="",style="solid", color="black", weight=3];
277[label="[] ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];277 -> 284[label="",style="solid", color="black", weight=3];
282[label="(vz50 : vz230) : [] ++ vz27",fontsize=16,color="green",shape="box"];282 -> 294[label="",style="dashed", color="green", weight=3];
273[label="vz231",fontsize=16,color="green",shape="box"];278[label="vz711",fontsize=16,color="green",shape="box"];279 -> 151[label="",style="dashed", color="red", weight=0];
279[label="sequence1 ((vz160 : vz161) : vz3 vz41110 : map vz3 vz41111) vz710",fontsize=16,color="magenta"];279 -> 285[label="",style="dashed", color="magenta", weight=3];
279 -> 286[label="",style="dashed", color="magenta", weight=3];
279 -> 287[label="",style="dashed", color="magenta", weight=3];
279 -> 288[label="",style="dashed", color="magenta", weight=3];
279 -> 289[label="",style="dashed", color="magenta", weight=3];
279 -> 290[label="",style="dashed", color="magenta", weight=3];
274[label="vz241",fontsize=16,color="green",shape="box"];280[label="vz711",fontsize=16,color="green",shape="box"];281 -> 173[label="",style="dashed", color="red", weight=0];
281[label="sequence1 ((vz160 : vz161) : []) vz710",fontsize=16,color="magenta"];281 -> 291[label="",style="dashed", color="magenta", weight=3];
281 -> 292[label="",style="dashed", color="magenta", weight=3];
281 -> 293[label="",style="dashed", color="magenta", weight=3];
283[label="vz280 : vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="black",shape="box"];283 -> 295[label="",style="solid", color="black", weight=3];
284[label="vz71 >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="burlywood",shape="box"];357[label="vz71/vz710 : vz711",fontsize=10,color="white",style="solid",shape="box"];284 -> 357[label="",style="solid", color="burlywood", weight=9];
357 -> 296[label="",style="solid", color="burlywood", weight=3];
358[label="vz71/[]",fontsize=10,color="white",style="solid",shape="box"];284 -> 358[label="",style="solid", color="burlywood", weight=9];
358 -> 297[label="",style="solid", color="burlywood", weight=3];
294[label="[] ++ vz27",fontsize=16,color="black",shape="box"];294 -> 298[label="",style="solid", color="black", weight=3];
285[label="vz3",fontsize=16,color="green",shape="box"];286[label="vz41110",fontsize=16,color="green",shape="box"];287[label="vz41111",fontsize=16,color="green",shape="box"];288[label="vz161",fontsize=16,color="green",shape="box"];289[label="vz160",fontsize=16,color="green",shape="box"];290[label="vz710",fontsize=16,color="green",shape="box"];291[label="vz161",fontsize=16,color="green",shape="box"];292[label="vz160",fontsize=16,color="green",shape="box"];293[label="vz710",fontsize=16,color="green",shape="box"];295 -> 252[label="",style="dashed", color="red", weight=0];
295[label="sequence0 vz50 vz280 ++ (vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50)",fontsize=16,color="magenta"];295 -> 299[label="",style="dashed", color="magenta", weight=3];
295 -> 300[label="",style="dashed", color="magenta", weight=3];
296[label="vz710 : vz711 >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="black",shape="box"];296 -> 301[label="",style="solid", color="black", weight=3];
297[label="[] >>= sequence1 [] >>= sequence0 vz50",fontsize=16,color="black",shape="box"];297 -> 302[label="",style="solid", color="black", weight=3];
298[label="vz27",fontsize=16,color="green",shape="box"];299[label="vz280",fontsize=16,color="green",shape="box"];300 -> 268[label="",style="dashed", color="red", weight=0];
300[label="vz281 ++ (vz71 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];300 -> 303[label="",style="dashed", color="magenta", weight=3];
301 -> 268[label="",style="dashed", color="red", weight=0];
301[label="sequence1 [] vz710 ++ (vz711 >>= sequence1 []) >>= sequence0 vz50",fontsize=16,color="magenta"];301 -> 304[label="",style="dashed", color="magenta", weight=3];
301 -> 305[label="",style="dashed", color="magenta", weight=3];
302 -> 193[label="",style="dashed", color="red", weight=0];
302[label="[] >>= sequence0 vz50",fontsize=16,color="magenta"];303[label="vz281",fontsize=16,color="green",shape="box"];304[label="sequence1 [] vz710",fontsize=16,color="black",shape="box"];304 -> 306[label="",style="solid", color="black", weight=3];
305[label="vz711",fontsize=16,color="green",shape="box"];306[label="sequence [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];306 -> 307[label="",style="solid", color="black", weight=3];
307[label="return [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];307 -> 308[label="",style="solid", color="black", weight=3];
308[label="[] : [] >>= sequence0 vz710",fontsize=16,color="black",shape="box"];308 -> 309[label="",style="solid", color="black", weight=3];
309 -> 252[label="",style="dashed", color="red", weight=0];
309[label="sequence0 vz710 [] ++ ([] >>= sequence0 vz710)",fontsize=16,color="magenta"];309 -> 310[label="",style="dashed", color="magenta", weight=3];
309 -> 311[label="",style="dashed", color="magenta", weight=3];
309 -> 312[label="",style="dashed", color="magenta", weight=3];
310[label="vz710",fontsize=16,color="green",shape="box"];311[label="[]",fontsize=16,color="green",shape="box"];312 -> 193[label="",style="dashed", color="red", weight=0];
312[label="[] >>= sequence0 vz710",fontsize=16,color="magenta"];312 -> 313[label="",style="dashed", color="magenta", weight=3];
313[label="vz710",fontsize=16,color="green",shape="box"];}

----------------------------------------

(110)
TRUE